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signature
stringlengths
16
32
problem_type
stringclasses
12 values
optimization_type
stringclasses
3 values
graph
stringlengths
52
2.28k
solution
stringlengths
235
4.05k
cost_hamiltonian
stringlengths
11
5.66k
ansatz_id
int64
1
18
number_of_qubits
int64
1
16
number_of_layers
int64
1
4
exact_solution
stringlengths
155
2.61k
circuit_with_params
stringlengths
126
44.7k
circuit_with_symbols
stringlengths
146
19.5k
problem_specific_attributes
stringclasses
116 values
adaptive_process
stringlengths
33
186k
qiskit_pauli_strings
listlengths
1
177
qiskit_coefficients
listlengths
1
177
improvement_ratio
float64
0
1
optimized_params
listlengths
2
278
optimization_info
dict
total_iterations
int64
1
500
3d627635058abf5b6bb9c53f69a1c86d
connected_components
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"source": 3, "target": 8}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 4, "target": 7}, {"source": 4, "target": 8}, {"source": 4, "target": 9}, {"source": 7, "target": 8}]}
{"states": [63, 511], "expectation_value": -2.0702588516857356, "params": [[-0.0599], [0.062200000000000005]], "bitstrings": ["111000000", "000000000"], "total_optimization_steps": 10, "probabilities": [0.003179104768408564, 0.0033136167255936105], "optimization_time": 1.0138466358184814}
-1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -3.5 * (Z(3) @ Z(4)) + -3.5 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + -3.5 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(3)) + -2.0 * (Z(7) @ Z(6)) + -3.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + -3.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -3.0 * Z(4) + 1.0 * Z(3) + 1.0 * Z(6) + 1.0 * Z(7) + 1.0 * Z(5) + 1.0 * Z(8)
1
9
1
{"smallest_eigenvalues": [-26.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["000000000"], "largest_eigenvalue": 27.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[9] q; h q[0]; h q[1]; cx q[1], q[0]; rz(1.1398176200223498) q[0]; cx q[1], q[0]; h q[2]; cx q[1], q[2]; rz(0.3319500365686569) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.3319500365686574) q[1]; rx(1.0443828489871696) q[1]; rz(1.1398176200223498) q[2]; cx q[0], q[2]; rz(0.3319500365686574) q[0]; rx(1.0443828489871696) q[0]; rz(0.3319500365686574) q[2]; rx(1.0443828489871696) q[2]; h q[3]; h q[4]; cx q[4], q[3]; rz(0.5835460342127498) q[3]; cx q[4], q[3]; h q[5]; h q[6]; cx q[4], q[6]; rz(0.5835460342127498) q[6]; cx q[4], q[6]; cx q[3], q[6]; rz(0.6613740611221639) q[6]; cx q[3], q[6]; h q[7]; cx q[4], q[7]; rz(0.5835460342127498) q[7]; cx q[4], q[7]; cx q[3], q[7]; cx q[4], q[5]; rz(0.5835460342127498) q[5]; cx q[4], q[5]; rz(0.6613740611221639) q[7]; cx q[3], q[7]; cx q[3], q[5]; rz(0.3319500365686569) q[5]; cx q[3], q[5]; cx q[6], q[7]; rz(0.6613740611221639) q[7]; cx q[6], q[7]; cx q[6], q[5]; rz(0.3319500365686569) q[5]; cx q[6], q[5]; cx q[7], q[5]; rz(0.3319500365686569) q[5]; cx q[7], q[5]; h q[8]; cx q[4], q[8]; rz(0.5835460342127498) q[8]; cx q[4], q[8]; cx q[3], q[8]; rz(-0.15588570491585685) q[4]; rx(1.0443828489871696) q[4]; rz(0.3319500365686569) q[8]; cx q[3], q[8]; rz(-0.3429066033154875) q[3]; rx(1.0443828489871694) q[3]; cx q[6], q[8]; rz(0.3319500365686569) q[8]; cx q[6], q[8]; rz(-0.3429066033154875) q[6]; rx(1.0443828489871694) q[6]; cx q[7], q[8]; rz(0.3319500365686569) q[8]; cx q[7], q[8]; cx q[5], q[8]; rz(-0.3429066033154875) q[7]; rx(1.0443828489871694) q[7]; rz(0.3319500365686569) q[8]; cx q[5], q[8]; rz(-0.3429066033154875) q[5]; rx(1.0443828489871694) q[5]; rz(-0.3429066033154875) q[8]; rx(1.0443828489871694) q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; bit[9] c; qubit[9] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x1) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[4], q[3]; rz(x2) q[3]; cx q[4], q[3]; cx q[4], q[6]; rz(x2) q[6]; cx q[4], q[6]; cx q[3], q[6]; rz(x3) q[6]; cx q[3], q[6]; cx q[4], q[7]; rz(x2) q[7]; cx q[4], q[7]; cx q[3], q[7]; rz(x3) q[7]; cx q[3], q[7]; cx q[6], q[7]; rz(x3) q[7]; cx q[6], q[7]; cx q[4], q[5]; rz(x2) q[5]; cx q[4], q[5]; cx q[3], q[5]; rz(x1) q[5]; cx q[3], q[5]; cx q[6], q[5]; rz(x1) q[5]; cx q[6], q[5]; cx q[7], q[5]; rz(x1) q[5]; cx q[7], q[5]; cx q[4], q[8]; rz(x2) q[8]; cx q[4], q[8]; cx q[3], q[8]; rz(x1) q[8]; cx q[3], q[8]; cx q[6], q[8]; rz(x1) q[8]; cx q[6], q[8]; cx q[7], q[8]; rz(x1) q[8]; cx q[7], q[8]; cx q[5], q[8]; rz(x1) q[8]; cx q[5], q[8]; rz(x1) q[1]; rz(x1) q[0]; rz(x1) q[2]; rz(x4) q[4]; rz(x5) q[3]; rz(x5) q[6]; rz(x5) q[7]; rz(x5) q[5]; rz(x5) q[8]; h q[0]; rz(x6) q[0]; h q[0]; h q[1]; rz(x6) q[1]; h q[1]; h q[2]; rz(x6) q[2]; h q[2]; h q[3]; rz(x6) q[3]; h q[3]; h q[4]; rz(x6) q[4]; h q[4]; h q[5]; rz(x6) q[5]; h q[5]; h q[6]; rz(x6) q[6]; h q[6]; h q[7]; rz(x6) q[7]; h q[7]; h q[8]; rz(x6) q[8]; h q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
{"node": 6}
{"circuits": [], "gradients": []}
[ "IIIIIIIZZ", "IIIIIIZZI", "IIIIIIZIZ", "IIIIZZIII", "IIZIZIIII", "IIZIIZIII", "IZIIZIIII", "IZIIIZIII", "IZZIIIIII", "IIIZZIIII", "IIIZIZIII", "IIZZIIIII", "IZIZIIIII", "ZIIIZIIII", "ZIIIIZIII", "ZIZIIIIII", "ZZIIIIIII", "ZIIZIIIII", "IIIIIIIZI", "IIIIIIIIZ", "IIIIIIZII", "IIIIZIIII", "IIIIIZIII", "IIZIIIIII", "IZIIIIIII", "IIIZIIIII", "ZIIIIIIII" ]
[ -1.5, 0.5, -1.5, -3.5, -3.5, -2, -3.5, -2, -2, -3.5, 0.5, 0.5, 0.5, -3.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, -3, 1, 1, 1, 1, 1 ]
0.562351
[ 1.1398176200223498, 0.3319500365686569, 0.5835460342127498, 0.6613740611221639, -0.15588570491585693, -0.3429066033154878, 1.0443828489871694 ]
{ "n_parameters": 7, "n_qubits": 9, "optimal_eigenvalue": -26, "target_ratio": 0.97, "target_value": -25.22 }
185
ed17940d27aebadda70c31c5b11d2e16
matching
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 9, "source": 0, "target": 4}, {"weight": 12, "source": 0, "target": 6}, {"weight": 6, "source": 1, "target": 5}, {"weight": 13, "source": 1, "target": 4}, {"weight": 13, "source": 1, "target": 7}, {"weight": 4, "source": 2, "target": 6}, {"weight": 17, "source": 2, "target": 4}, {"weight": 3, "source": 3, "target": 7}, {"weight": 18, "source": 3, "target": 5}]}
{"states": [442, 218], "expectation_value": -12.430252022015267, "params": [[-0.028800000000000003, -0.0313, -0.0129], [0.038200000000000005, 0.0475, 0.035500000000000004]], "bitstrings": ["001000101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.0060558589831438804, 0.007033437322857238], "optimization_time": 5.4817705154418945}
4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(8)) + 6.0 * Z(1) + 9.0 * Z(0) + 15.5 * Z(2) + 11.0 * Z(4) + 7.5 * Z(3) + 13.0 * Z(5) + 2.0 * Z(6) + 1.5 * Z(8) + 9.0 * Z(7)
1
9
3
{"smallest_eigenvalues": [-70.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 128.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[9] q; h q[0]; h q[1]; cx q[1], q[0]; rz(-0.15866672171331941) q[0]; cx q[1], q[0]; h q[2]; cx q[0], q[2]; rz(-0.15866672171331941) q[2]; cx q[0], q[2]; h q[3]; h q[4]; cx q[2], q[4]; rz(-0.15866672171331941) q[4]; cx q[2], q[4]; cx q[2], q[3]; rz(-0.15866672171331941) q[3]; cx q[2], q[3]; cx q[4], q[3]; rz(-0.15866672171331941) q[3]; cx q[4], q[3]; h q[5]; cx q[0], q[5]; rz(-0.15866672171331941) q[5]; cx q[0], q[5]; rz(-0.3006496583961935) q[0]; rx(1.5142771870202085) q[0]; cx q[2], q[5]; rz(-0.15866672171331941) q[5]; cx q[2], q[5]; rz(-0.5102877140178146) q[2]; rx(1.5142771870202085) q[2]; h q[6]; cx q[1], q[6]; rz(-0.15866672171331941) q[6]; cx q[1], q[6]; rz(-1.0809071203107754) q[1]; rx(1.5142771870202085) q[1]; cx q[1], q[0]; rz(-0.5131275809009203) q[0]; cx q[1], q[0]; cx q[0], q[2]; rz(-0.5131275809009203) q[2]; cx q[0], q[2]; cx q[5], q[6]; rz(-0.15866672171331941) q[6]; cx q[5], q[6]; rz(-1.091316828459533) q[5]; rx(1.5142771870202085) q[5]; cx q[0], q[5]; rz(-0.5131275809009203) q[5]; cx q[0], q[5]; rz(-0.05769660481193872) q[0]; rx(0.9709591390474934) q[0]; rz(0.13810257412133087) q[6]; rx(1.5142771870202083) q[6]; cx q[1], q[6]; rz(-0.5131275809009203) q[6]; cx q[1], q[6]; rz(-1.1831791592560785) q[1]; rx(0.9709591390474934) q[1]; cx q[1], q[0]; rz(-0.3697901403837691) q[0]; cx q[1], q[0]; h q[7]; cx q[3], q[7]; rz(-0.15866672171331941) q[7]; cx q[3], q[7]; rz(1.0885724300439001) q[3]; rx(1.5142771870202083) q[3]; h q[8]; cx q[4], q[8]; rz(-0.15866672171331941) q[8]; cx q[4], q[8]; rz(-0.8733998782451886) q[4]; rx(1.5142771870202083) q[4]; cx q[2], q[4]; rz(-0.5131275809009203) q[4]; cx q[2], q[4]; cx q[2], q[3]; rz(-0.5131275809009203) q[3]; cx q[2], q[3]; cx q[2], q[5]; cx q[4], q[3]; rz(-0.5131275809009203) q[3]; cx q[4], q[3]; rz(-0.5131275809009203) q[5]; cx q[2], q[5]; rz(-1.3395211669589393) q[2]; rx(0.9709591390474934) q[2]; cx q[0], q[2]; rz(-0.3697901403837691) q[2]; cx q[0], q[2]; cx q[5], q[6]; rz(-0.5131275809009203) q[6]; cx q[5], q[6]; rz(-1.2208427194897498) q[5]; rx(0.9709591390474935) q[5]; cx q[0], q[5]; rz(-0.3697901403837691) q[5]; cx q[0], q[5]; rz(-0.7145098575559068) q[0]; rx(0.5898523513565987) q[0]; rz(0.2267384351365469) q[6]; rx(0.9709591390474936) q[6]; cx q[1], q[6]; rz(-0.3697901403837691) q[6]; cx q[1], q[6]; rz(-2.267107381350645) q[1]; rx(0.5898523513565986) q[1]; cx q[8], q[7]; rz(-0.15866672171331941) q[7]; cx q[8], q[7]; rz(-0.3006496583961935) q[7]; rx(1.5142771870202085) q[7]; cx q[3], q[7]; rz(-0.5131275809009203) q[7]; cx q[3], q[7]; rz(0.19476929609622928) q[3]; rx(0.9709591390474936) q[3]; rz(0.9133195435550006) q[8]; rx(1.5142771870202085) q[8]; cx q[4], q[8]; rz(-0.5131275809009203) q[8]; cx q[4], q[8]; rz(-0.1936573369159098) q[4]; rx(0.9709591390474935) q[4]; cx q[2], q[4]; rz(-0.3697901403837691) q[4]; cx q[2], q[4]; cx q[2], q[3]; rz(-0.3697901403837691) q[3]; cx q[2], q[3]; cx q[2], q[5]; cx q[4], q[3]; rz(-0.3697901403837691) q[3]; cx q[4], q[3]; rz(-0.3697901403837691) q[5]; cx q[2], q[5]; rz(-1.718889617107103) q[2]; rx(0.5898523513565987) q[2]; cx q[5], q[6]; rz(-0.3697901403837691) q[6]; cx q[5], q[6]; rz(-2.462139343124669) q[5]; rx(0.5898523513565989) q[5]; rz(0.25578745829871474) q[6]; rx(0.5898523513565989) q[6]; cx q[8], q[7]; rz(-0.5131275809009203) q[7]; cx q[8], q[7]; rz(-0.05769660481193872) q[7]; rx(0.9709591390474934) q[7]; cx q[3], q[7]; rz(-0.3697901403837691) q[7]; cx q[3], q[7]; rz(1.58805647645325) q[3]; rx(0.5898523513565987) q[3]; rz(0.24907784947040845) q[8]; rx(0.9709591390474934) q[8]; cx q[4], q[8]; rz(-0.3697901403837691) q[8]; cx q[4], q[8]; rz(-1.934957431240826) q[4]; rx(0.5898523513565987) q[4]; cx q[8], q[7]; rz(-0.3697901403837691) q[7]; cx q[8], q[7]; rz(-0.7145098575559068) q[7]; rx(0.5898523513565987) q[7]; rz(1.6021868933820542) q[8]; rx(0.589852351356599) q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[9] c; qubit[9] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[2], q[4]; rz(x0) q[4]; cx q[2], q[4]; cx q[2], q[3]; rz(x0) q[3]; cx q[2], q[3]; cx q[4], q[3]; rz(x0) q[3]; cx q[4], q[3]; cx q[0], q[5]; rz(x0) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(x0) q[5]; cx q[2], q[5]; cx q[1], q[6]; rz(x0) q[6]; cx q[1], q[6]; cx q[5], q[6]; rz(x0) q[6]; cx q[5], q[6]; cx q[4], q[8]; rz(x0) q[8]; cx q[4], q[8]; cx q[3], q[7]; rz(x0) q[7]; cx q[3], q[7]; cx q[8], q[7]; rz(x0) q[7]; cx q[8], q[7]; rz(x1) q[1]; rz(x2) q[0]; rz(x3) q[2]; rz(x4) q[4]; rz(x5) q[3]; rz(x6) q[5]; rz(x7) q[6]; rz(x8) q[8]; rz(x2) q[7]; h q[0]; rz(x9) q[0]; h q[0]; h q[1]; rz(x9) q[1]; h q[1]; h q[2]; rz(x9) q[2]; h q[2]; h q[3]; rz(x9) q[3]; h q[3]; h q[4]; rz(x9) q[4]; h q[4]; h q[5]; rz(x9) q[5]; h q[5]; h q[6]; rz(x9) q[6]; h q[6]; h q[7]; rz(x9) q[7]; h q[7]; h q[8]; rz(x9) q[8]; h q[8]; cx q[1], q[0]; rz(x10) q[0]; cx q[1], q[0]; cx q[0], q[2]; rz(x10) q[2]; cx q[0], q[2]; cx q[2], q[4]; rz(x10) q[4]; cx q[2], q[4]; cx q[2], q[3]; rz(x10) q[3]; cx q[2], q[3]; cx q[4], q[3]; rz(x10) q[3]; cx q[4], q[3]; cx q[0], q[5]; rz(x10) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(x10) q[5]; cx q[2], q[5]; cx q[1], q[6]; rz(x10) q[6]; cx q[1], q[6]; cx q[5], q[6]; rz(x10) q[6]; cx q[5], q[6]; cx q[4], q[8]; rz(x10) q[8]; cx q[4], q[8]; cx q[3], q[7]; rz(x10) q[7]; cx q[3], q[7]; cx q[8], q[7]; rz(x10) q[7]; cx q[8], q[7]; rz(x11) q[1]; rz(x12) q[0]; rz(x13) q[2]; rz(x14) q[4]; rz(x15) q[3]; rz(x16) q[5]; rz(x17) q[6]; rz(x18) q[8]; rz(x12) q[7]; h q[0]; rz(x19) q[0]; h q[0]; h q[1]; rz(x19) q[1]; h q[1]; h q[2]; rz(x19) q[2]; h q[2]; h q[3]; rz(x19) q[3]; h q[3]; h q[4]; rz(x19) q[4]; h q[4]; h q[5]; rz(x19) q[5]; h q[5]; h q[6]; rz(x19) q[6]; h q[6]; h q[7]; rz(x19) q[7]; h q[7]; h q[8]; rz(x19) q[8]; h q[8]; cx q[1], q[0]; rz(x20) q[0]; cx q[1], q[0]; cx q[0], q[2]; rz(x20) q[2]; cx q[0], q[2]; cx q[2], q[4]; rz(x20) q[4]; cx q[2], q[4]; cx q[2], q[3]; rz(x20) q[3]; cx q[2], q[3]; cx q[4], q[3]; rz(x20) q[3]; cx q[4], q[3]; cx q[0], q[5]; rz(x20) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(x20) q[5]; cx q[2], q[5]; cx q[1], q[6]; rz(x20) q[6]; cx q[1], q[6]; cx q[5], q[6]; rz(x20) q[6]; cx q[5], q[6]; cx q[4], q[8]; rz(x20) q[8]; cx q[4], q[8]; cx q[3], q[7]; rz(x20) q[7]; cx q[3], q[7]; cx q[8], q[7]; rz(x20) q[7]; cx q[8], q[7]; rz(x21) q[1]; rz(x22) q[0]; rz(x23) q[2]; rz(x24) q[4]; rz(x25) q[3]; rz(x26) q[5]; rz(x27) q[6]; rz(x28) q[8]; rz(x22) q[7]; h q[0]; rz(x29) q[0]; h q[0]; h q[1]; rz(x29) q[1]; h q[1]; h q[2]; rz(x29) q[2]; h q[2]; h q[3]; rz(x29) q[3]; h q[3]; h q[4]; rz(x29) q[4]; h q[4]; h q[5]; rz(x29) q[5]; h q[5]; h q[6]; rz(x29) q[6]; h q[6]; h q[7]; rz(x29) q[7]; h q[7]; h q[8]; rz(x29) q[8]; h q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
{"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"}
{"circuits": [], "gradients": []}
[ "IIIIIIIZZ", "IIIIIIZIZ", "IIIIZIZII", "IIIIIZZII", "IIIIZZIII", "IIIZIIIIZ", "IIIZIIZII", "IIZIIIIZI", "IIZZIIIII", "ZIIIZIIII", "IZIIIZIII", "ZZIIIIIII", "IIIIIIIZI", "IIIIIIIIZ", "IIIIIIZII", "IIIIZIIII", "IIIIIZIII", "IIIZIIIII", "IIZIIIIII", "ZIIIIIIII", "IZIIIIIII" ]
[ 4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 6, 9, 15.5, 11, 7.5, 13, 2, 1.5, 9 ]
0.971003
[ -0.15866672171331941, -1.0809071203107758, -0.30064965839619345, -0.5102877140178146, -0.8733998782451885, 1.0885724300439001, -1.0913168284595332, 0.13810257412133115, 0.9133195435550004, 1.5142771870202085, -0.5131275809009203, -1.1831791592560787, -0.05769660481193879, -1.3395211669589393, -0.19365733691590975, 0.1947692960962294, -1.22084271948975, 0.22673843513654715, 0.2490778494704083, 0.9709591390474934, -0.3697901403837691, -2.267107381350645, -0.7145098575559072, -1.718889617107103, -1.934957431240826, 1.5880564764532492, -2.462139343124669, 0.2557874582987148, 1.6021868933820544, 0.5898523513565987 ]
{ "n_parameters": 30, "n_qubits": 9, "optimal_eigenvalue": -70.5, "target_ratio": 0.97, "target_value": -68.385 }
275
58fa04385078dcdc0b5f9361c481400a
edge_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]}
{"states": [207, 205], "expectation_value": -0.6342479415594341, "params": [0.6247, 0.1705, 0.874, 0.3271, 0.3098, 0.3884, 0.3269, 0.4011, 0.8151, 0.4052, 0.6392, 0.12010000000000001, 0.5835, -0.30710000000000004, 0.8366, -0.2591, 0.6077, 0.1626, 0.8371000000000001, 0.35300000000000004, 0.27790000000000004, 0.39030000000000004, 0.27690000000000003, 0.39890000000000003, 0.7172000000000001, 0.3919, 0.6263000000000001, 0.1325, 0.5383, -0.30560000000000004, 0.795, -0.2748, 0.6049, 0.0036000000000000003, 0.8674000000000001, 0.007, 0.2684, 0.0067, 0.26930000000000004, 0.0021000000000000003, 0.7976000000000001, 0.0032, 0.6243000000000001, 0.0057, 0.5439, 0.0099, 0.8154, 0.0021000000000000003, 0.1892, 0.41600000000000004, 0.39180000000000004, -0.3821, 0.4117, 0.33190000000000003, -0.08420000000000001, -0.3183, 0.1635, 0.37920000000000004, 0.4051, -0.2252, 0.4076, 0.3386, -0.1047, -0.3169, 0.0047, 0.0098, 0.006, 0.0074, 0.0004, 0.0028, 0.0012000000000000001, 0.003], "bitstrings": ["00110000", "00110010"], "total_optimization_steps": 90, "probabilities": [0.06530466283702466, 0.07185752257201153], "optimization_time": 43.81844139099121}
0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(1) @ Z(7)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(6) @ Z(1) @ Z(4)) + -0.125 * (Z(1) @ Z(4) @ Z(7)) + -0.125 * (Z(6) @ Z(1) @ Z(7)) + -0.125 * (Z(6) @ Z(4) @ Z(7)) + 0.125 * (Z(6) @ Z(1) @ Z(4) @ Z(7)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(2) @ Z(7)) + 0.25 * (Z(7) @ Z(5)) + -0.25 * (Z(2) @ Z(7) @ Z(5)) + 0.0 * Z(0) + 0.125 * Z(1) + 0.0 * Z(2) + 0.0 * Z(3) + 0.125 * Z(4) + 0.0 * Z(5) + 0.125 * Z(6) + 0.125 * Z(7)
18
8
3
{"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -1.125, "smallest_bitstrings": ["00110010", "01000110", "01010001", "01110000", "10001001", "01010100", "00111000", "10000110", "10010001", "10001100", "10101000", "10000101", "00101010", "11000100", "00100110", "00110001"], "largest_eigenvalue": 4.875}
OPENQASM 3.0; include "stdgates.inc"; qubit[8] q; rx(0.47101618974758475) q[0]; rz(-0.16827364835461855) q[0]; rx(0.48551343822356186) q[1]; rz(0.17804732572877252) q[1]; rx(0.32539434813691376) q[2]; rz(0.5457656730524693) q[2]; rx(-0.21683998807139754) q[3]; rz(0.30031640895019224) q[3]; rx(1.2220557292476708) q[4]; rz(0.00816620436411572) q[4]; rx(0.6463337616946943) q[5]; rz(0.03026562494828463) q[5]; rx(0.5393888844458095) q[6]; rz(-0.2593316846640103) q[6]; rx(0.9680314823703535) q[7]; rz(0.16400978204829583) q[7]; cx q[7], q[0]; rz(0.07728259154478963) q[0]; cx q[7], q[0]; rz(-0.42013888342563044) q[7]; cx q[6], q[7]; rz(0.42013888342563044) q[7]; cx q[6], q[7]; rz(0.0955362267160153) q[6]; cx q[5], q[6]; rz(-0.0955362267160153) q[6]; cx q[5], q[6]; rz(-0.124598890387444) q[5]; cx q[4], q[5]; rz(0.124598890387444) q[5]; cx q[4], q[5]; rz(0.32305186024024035) q[4]; cx q[3], q[4]; rz(-0.32305186024024035) q[4]; cx q[3], q[4]; rz(0.046604167014580714) q[3]; cx q[2], q[3]; rz(-0.046604167014580714) q[3]; cx q[2], q[3]; rz(0.3026367073648871) q[2]; cx q[1], q[2]; rz(-0.3026367073648871) q[2]; cx q[1], q[2]; rz(-0.08990815082111506) q[1]; cx q[0], q[1]; rz(0.08990815082111506) q[1]; cx q[0], q[1]; rx(1.6380330944674228) q[0]; rz(0.2812662119135232) q[0]; rx(1.1806038608611402) q[1]; rz(0.40598754813492743) q[1]; rx(-0.429119937077587) q[2]; rz(0.39438572020956153) q[2]; rx(0.18226164189842775) q[3]; rz(0.8935728942444038) q[3]; rx(1.0466056699268995) q[4]; rz(-0.2984000311474389) q[4]; rx(2.075878368294274) q[5]; rz(-0.31256283759867165) q[5]; rx(-0.4359606336807472) q[6]; rz(-0.9342399894427693) q[6]; rx(1.522995947955289) q[7]; rz(-0.23009088025778898) q[7]; cx q[7], q[0]; rz(-0.047777391892574045) q[0]; cx q[7], q[0]; rz(-0.4093077511472756) q[7]; cx q[6], q[7]; rz(0.4093077511472756) q[7]; cx q[6], q[7]; rz(-0.08974624462511378) q[6]; cx q[5], q[6]; rz(0.08974624462511378) q[6]; cx q[5], q[6]; rz(0.14603329482818514) q[5]; cx q[4], q[5]; rz(-0.14603329482818514) q[5]; cx q[4], q[5]; rz(0.618307355141335) q[4]; cx q[3], q[4]; rz(-0.618307355141335) q[4]; cx q[3], q[4]; rz(0.09966690228728863) q[3]; cx q[2], q[3]; rz(-0.09966690228728863) q[3]; cx q[2], q[3]; rz(0.3558013323718305) q[2]; cx q[1], q[2]; rz(-0.3558013323718305) q[2]; cx q[1], q[2]; rz(-0.025052456312949823) q[1]; cx q[0], q[1]; rz(0.025052456312949823) q[1]; cx q[0], q[1]; rx(1.1629005485633526) q[0]; rz(0.4218255032377223) q[0]; rx(1.34037259457694) q[1]; rz(0.05581945122615328) q[1]; rx(0.09409797529979133) q[2]; rz(-0.03256332431939571) q[2]; rx(-0.14620574908992387) q[3]; rz(0.3486604856526713) q[3]; rx(0.9368135247794687) q[4]; rz(-0.27051516119733143) q[4]; rx(0.5485695628108088) q[5]; rz(-0.28532234220831254) q[5]; rx(0.19125752935186946) q[6]; rz(0.20758888361703184) q[6]; rx(0.5864602105863955) q[7]; rz(0.3486604856526713) q[7]; cx q[7], q[0]; rz(-0.1847044210529428) q[0]; cx q[7], q[0]; rz(0.3933833599988733) q[7]; cx q[6], q[7]; rz(-0.3933833599988733) q[7]; cx q[6], q[7]; rz(-0.10825465269899211) q[6]; cx q[5], q[6]; rz(0.10825465269899211) q[6]; cx q[5], q[6]; rz(-0.3757878539732221) q[5]; cx q[4], q[5]; rz(0.3757878539732221) q[5]; cx q[4], q[5]; rz(0.37767586607510545) q[4]; cx q[3], q[4]; rz(-0.37767586607510545) q[4]; cx q[3], q[4]; rz(0.4276888984620864) q[3]; cx q[2], q[3]; rz(-0.4276888984620864) q[3]; cx q[2], q[3]; rz(0.09686386323058027) q[2]; cx q[1], q[2]; rz(-0.09686386323058027) q[2]; cx q[1], q[2]; rz(-0.03862199295267512) q[1]; cx q[0], q[1]; rz(0.03862199295267512) q[1]; cx q[0], q[1];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x67; input float[64] x68; input float[64] x69; input float[64] x7; input float[64] x70; input float[64] x8; input float[64] x9; bit[8] c; qubit[8] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; crz(x16) q[7], q[0]; crz(x17) q[6], q[7]; crz(x18) q[5], q[6]; crz(x19) q[4], q[5]; crz(x20) q[3], q[4]; crz(x21) q[2], q[3]; crz(x22) q[1], q[2]; crz(x23) q[0], q[1]; rx(x24) q[0]; rz(x25) q[0]; rx(x26) q[1]; rz(x27) q[1]; rx(x28) q[2]; rz(x29) q[2]; rx(x30) q[3]; rz(x31) q[3]; rx(x32) q[4]; rz(x33) q[4]; rx(x34) q[5]; rz(x35) q[5]; rx(x36) q[6]; rz(x37) q[6]; rx(x38) q[7]; rz(x39) q[7]; crz(x40) q[7], q[0]; crz(x41) q[6], q[7]; crz(x42) q[5], q[6]; crz(x43) q[4], q[5]; crz(x44) q[3], q[4]; crz(x45) q[2], q[3]; crz(x46) q[1], q[2]; crz(x47) q[0], q[1]; rx(x48) q[0]; rz(x49) q[0]; rx(x50) q[1]; rz(x51) q[1]; rx(x52) q[2]; rz(x53) q[2]; rx(x54) q[3]; rz(x55) q[3]; rx(x56) q[4]; rz(x57) q[4]; rx(x58) q[5]; rz(x59) q[5]; rx(x60) q[6]; rz(x61) q[6]; rx(x62) q[7]; rz(x55) q[7]; crz(x63) q[7], q[0]; crz(x64) q[6], q[7]; crz(x65) q[5], q[6]; crz(x66) q[4], q[5]; crz(x67) q[3], q[4]; crz(x68) q[2], q[3]; crz(x69) q[1], q[2]; crz(x70) q[0], q[1]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
null
{"circuits": [], "gradients": []}
[ "IIIIIIZZ", "IIIIIZIZ", "IIIIIZZI", "IIIIIZZZ", "IIIZZIII", "IIZIZIII", "IIZZIIII", "IIZZZIII", "IIIIZIIZ", "IZIIIIIZ", "IZIIZIII", "IZIIZIIZ", "IIIZIIZI", "IZIIIIZI", "ZIIIIIZI", "IZIZIIII", "ZIIZIIII", "ZZIIIIII", "IZIZIIZI", "ZIIZIIZI", "ZZIIIIZI", "ZZIZIIII", "ZZIZIIZI", "IIZIIZII", "ZIIIIZII", "ZIZIIIII", "ZIZIIZII", "IIIIIIIZ", "IIIIIIZI", "IIIIIZII", "IIIIZIII", "IIIZIIII", "IIZIIIII", "IZIIIIII", "ZIIIIIII" ]
[ 0.25, 0.25, 0.25, -0.25, 0.25, 0.25, 0.25, -0.25, 0.25, 0.25, 0.25, -0.25, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, -0.125, -0.125, -0.125, -0.125, 0.125, 0.25, 0.25, 0.25, -0.25, 0, 0.125, 0, 0, 0.125, 0, 0.125, 0.125 ]
0.971822
[ 0.4710161897475848, -0.09099105680982872, 0.48551343822356186, 0.17804732572877252, 0.32539434813691376, 0.5457656730524693, -0.21683998807139754, 0.30031640895019224, 1.2220557292476708, 0.00816620436411572, 0.6463337616946943, 0.03026562494828463, 0.5393888844458095, -0.2593316846640103, 0.9680314823703535, 0.16400978204829583, -0.15456518308957926, -0.8402777668512609, 0.1910724534320306, -0.249197780774888, 0.6461037204804807, 0.09320833402916143, 0.6052734147297743, -0.17981630164223011, 1.6380330944674228, 0.23348882002094917, 1.1806038608611402, 0.40598754813492743, -0.429119937077587, 0.39438572020956153, 0.18226164189842775, 0.8935728942444038, 1.0466056699268995, -0.2984000311474389, 2.075878368294274, -0.31256283759867165, -0.4359606336807472, -0.9342399894427693, 1.522995947955289, -0.23009088025778898, 0.09555478378514809, -0.8186155022945512, -0.17949248925022757, 0.2920665896563703, 1.23661471028267, 0.19933380457457725, 0.711602664743661, -0.050104912625899646, 1.1629005485633526, 0.23712108218477962, 1.34037259457694, 0.05581945122615328, 0.09409797529979133, -0.03256332431939571, -0.14620574908992387, 0.3486604856526713, 0.9368135247794687, -0.27051516119733143, 0.5485695628108088, -0.28532234220831254, 0.19125752935186946, 0.20758888361703184, 0.5864602105863955, 0.3694088421058856, 0.7867667199977466, -0.21650930539798421, -0.7515757079464442, 0.7553517321502109, 0.8553777969241728, 0.19372772646116054, -0.07724398590535024 ]
{ "n_parameters": 71, "n_qubits": 8, "optimal_eigenvalue": -2.125, "target_ratio": 0.97, "target_value": -2.06125 }
45
1d36f605f450bd24c53bed4c61ab6422
min_cut
qaoa
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "source": 4, "target": 3}, {"capacity": 1, "source": 4, "target": 5}, {"capacity": 2, "source": 5, "target": 1}, {"capacity": 2, "source": 5, "target": 3}, {"capacity": 1, "source": 5, "target": 4}, {"capacity": 1, "source": 5, "target": 6}]}
{"states": [51, 35], "expectation_value": -0.6990192403016737, "params": [[0.0722, 0.061000000000000006, 0.0654], [-0.06860000000000001, -0.0511, -0.0492]], "bitstrings": ["1001100", "1011100"], "total_optimization_steps": 10, "probabilities": [0.013967852646237365, 0.014448856389640254], "optimization_time": 3.7291078567504883}
-0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(1) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -1.0 * Z(3) + -0.25 * Z(0) + -0.75 * Z(4) + 0.25 * Z(2) + 0.25 * Z(1) + 0.25 * Z(6) + 1.25 * Z(5)
1
7
3
{"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["1011100", "1001100"], "largest_eigenvalue": 7.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; cx q[3], q[0]; rz(-0.44173747837386507) q[0]; cx q[3], q[0]; h q[4]; cx q[3], q[4]; rz(-0.44173747837386507) q[4]; cx q[3], q[4]; cx q[0], q[4]; rz(0.005603409297500889) q[4]; cx q[0], q[4]; cx q[4], q[2]; rz(0.005603409297500889) q[2]; cx q[4], q[2]; cx q[2], q[1]; rz(-0.44173747837386507) q[1]; cx q[2], q[1]; rz(0.7320633774444789) q[2]; rx(-1.6652911638748982) q[2]; h q[5]; cx q[3], q[5]; rz(0.005603409297500889) q[5]; cx q[3], q[5]; rz(-1.2014024893063766) q[3]; rx(-1.6652911638748982) q[3]; cx q[4], q[5]; rz(0.005603409297500889) q[5]; cx q[4], q[5]; rz(-0.9317048549953064) q[4]; rx(-1.6652911638748982) q[4]; h q[6]; cx q[0], q[6]; rz(0.05836178307980425) q[6]; cx q[0], q[6]; rz(-0.44173747837386523) q[0]; rx(-1.6652911638748982) q[0]; cx q[1], q[6]; cx q[3], q[0]; rz(-0.7518283058778058) q[0]; cx q[3], q[0]; cx q[3], q[4]; rz(-0.7518283058778058) q[4]; cx q[3], q[4]; cx q[0], q[4]; rz(0.06520245980832098) q[4]; cx q[0], q[4]; cx q[4], q[2]; rz(0.06520245980832098) q[2]; cx q[4], q[2]; rz(0.005603409297500889) q[6]; cx q[1], q[6]; cx q[1], q[5]; rz(0.005603409297500889) q[5]; cx q[1], q[5]; rz(0.7320633774444789) q[1]; rx(-1.6652911638748982) q[1]; cx q[2], q[1]; rz(-0.7518283058778058) q[1]; cx q[2], q[1]; rz(1.571826548376893) q[2]; rx(-0.6251658664303295) q[2]; cx q[6], q[5]; rz(-0.44173747837386507) q[5]; cx q[6], q[5]; rz(0.7729737949196389) q[5]; rx(-1.6652911638748982) q[5]; cx q[3], q[5]; rz(0.06520245980832098) q[5]; cx q[3], q[5]; rz(-0.10637680738364885) q[3]; rx(-0.6251658664303296) q[3]; cx q[4], q[5]; rz(0.06520245980832098) q[5]; cx q[4], q[5]; rz(-0.2779417698846336) q[4]; rx(-0.6251658664303297) q[4]; rz(0.7320633774444789) q[6]; rx(-1.6652911638748982) q[6]; cx q[0], q[6]; rz(0.12228192436712314) q[6]; cx q[0], q[6]; rz(-0.7518283058778059) q[0]; rx(-0.6251658664303296) q[0]; cx q[1], q[6]; cx q[3], q[0]; rz(-0.07184331057286072) q[0]; cx q[3], q[0]; cx q[3], q[4]; rz(-0.07184331057286072) q[4]; cx q[3], q[4]; cx q[0], q[4]; rz(0.003399261367031635) q[4]; cx q[0], q[4]; cx q[4], q[2]; rz(0.003399261367031635) q[2]; cx q[4], q[2]; rz(0.06520245980832098) q[6]; cx q[1], q[6]; cx q[1], q[5]; rz(0.06520245980832098) q[5]; cx q[1], q[5]; rz(1.571826548376893) q[1]; rx(-0.6251658664303295) q[1]; cx q[2], q[1]; rz(-0.07184331057286072) q[1]; cx q[2], q[1]; rz(-0.7841045126942272) q[2]; rx(-0.4368449984785648) q[2]; cx q[6], q[5]; rz(-0.7518283058778058) q[5]; cx q[6], q[5]; rz(1.060425706629041) q[5]; rx(-0.6251658664303297) q[5]; cx q[3], q[5]; rz(0.003399261367031635) q[5]; cx q[3], q[5]; rz(-1.176350027666552) q[3]; rx(-0.4368449984785646) q[3]; cx q[4], q[5]; rz(0.003399261367031635) q[5]; cx q[4], q[5]; rz(-1.29404967414684) q[4]; rx(-0.4368449984785647) q[4]; rz(1.571826548376893) q[6]; rx(-0.6251658664303295) q[6]; cx q[0], q[6]; rz(0.15674331819536375) q[6]; cx q[0], q[6]; rz(-0.07184331057286109) q[0]; rx(-0.43684499847856473) q[0]; cx q[1], q[6]; rz(0.003399261367031635) q[6]; cx q[1], q[6]; cx q[1], q[5]; rz(0.003399261367031635) q[5]; cx q[1], q[5]; rz(-0.7841045126942272) q[1]; rx(-0.4368449984785648) q[1]; cx q[6], q[5]; rz(-0.07184331057286072) q[5]; cx q[6], q[5]; rz(-0.20724642366803625) q[5]; rx(-0.4368449984785647) q[5]; rz(-0.7841045126942272) q[6]; rx(-0.4368449984785648) q[6];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[3], q[0]; rz(x0) q[0]; cx q[3], q[0]; cx q[3], q[4]; rz(x0) q[4]; cx q[3], q[4]; cx q[0], q[4]; rz(x1) q[4]; cx q[0], q[4]; cx q[4], q[2]; rz(x1) q[2]; cx q[4], q[2]; cx q[2], q[1]; rz(x0) q[1]; cx q[2], q[1]; cx q[0], q[6]; rz(x2) q[6]; cx q[0], q[6]; cx q[1], q[6]; rz(x1) q[6]; cx q[1], q[6]; cx q[3], q[5]; rz(x1) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x1) q[5]; cx q[4], q[5]; cx q[1], q[5]; rz(x1) q[5]; cx q[1], q[5]; cx q[6], q[5]; rz(x0) q[5]; cx q[6], q[5]; rz(x3) q[3]; rz(x0) q[0]; rz(x4) q[4]; rz(x5) q[2]; rz(x5) q[1]; rz(x5) q[6]; rz(x6) q[5]; h q[0]; rz(x7) q[0]; h q[0]; h q[1]; rz(x7) q[1]; h q[1]; h q[2]; rz(x7) q[2]; h q[2]; h q[3]; rz(x7) q[3]; h q[3]; h q[4]; rz(x7) q[4]; h q[4]; h q[5]; rz(x7) q[5]; h q[5]; h q[6]; rz(x7) q[6]; h q[6]; cx q[3], q[0]; rz(x8) q[0]; cx q[3], q[0]; cx q[3], q[4]; rz(x8) q[4]; cx q[3], q[4]; cx q[0], q[4]; rz(x9) q[4]; cx q[0], q[4]; cx q[4], q[2]; rz(x9) q[2]; cx q[4], q[2]; cx q[2], q[1]; rz(x8) q[1]; cx q[2], q[1]; cx q[0], q[6]; rz(x10) q[6]; cx q[0], q[6]; cx q[1], q[6]; rz(x9) q[6]; cx q[1], q[6]; cx q[3], q[5]; rz(x9) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x9) q[5]; cx q[4], q[5]; cx q[1], q[5]; rz(x9) q[5]; cx q[1], q[5]; cx q[6], q[5]; rz(x8) q[5]; cx q[6], q[5]; rz(x11) q[3]; rz(x8) q[0]; rz(x12) q[4]; rz(x13) q[2]; rz(x13) q[1]; rz(x13) q[6]; rz(x14) q[5]; h q[0]; rz(x15) q[0]; h q[0]; h q[1]; rz(x15) q[1]; h q[1]; h q[2]; rz(x15) q[2]; h q[2]; h q[3]; rz(x15) q[3]; h q[3]; h q[4]; rz(x15) q[4]; h q[4]; h q[5]; rz(x15) q[5]; h q[5]; h q[6]; rz(x15) q[6]; h q[6]; cx q[3], q[0]; rz(x16) q[0]; cx q[3], q[0]; cx q[3], q[4]; rz(x16) q[4]; cx q[3], q[4]; cx q[0], q[4]; rz(x17) q[4]; cx q[0], q[4]; cx q[4], q[2]; rz(x17) q[2]; cx q[4], q[2]; cx q[2], q[1]; rz(x16) q[1]; cx q[2], q[1]; cx q[0], q[6]; rz(x18) q[6]; cx q[0], q[6]; cx q[1], q[6]; rz(x17) q[6]; cx q[1], q[6]; cx q[3], q[5]; rz(x17) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x17) q[5]; cx q[4], q[5]; cx q[1], q[5]; rz(x17) q[5]; cx q[1], q[5]; cx q[6], q[5]; rz(x16) q[5]; cx q[6], q[5]; rz(x19) q[3]; rz(x16) q[0]; rz(x20) q[4]; rz(x21) q[2]; rz(x21) q[1]; rz(x21) q[6]; rz(x22) q[5]; h q[0]; rz(x23) q[0]; h q[0]; h q[1]; rz(x23) q[1]; h q[1]; h q[2]; rz(x23) q[2]; h q[2]; h q[3]; rz(x23) q[3]; h q[3]; h q[4]; rz(x23) q[4]; h q[4]; h q[5]; rz(x23) q[5]; h q[5]; h q[6]; rz(x23) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
{"source": 0, "sink": 6}
{"circuits": [], "gradients": []}
[ "IIIZIIZ", "IIZZIII", "IIZIIIZ", "IIZIZII", "IIIIZZI", "ZIIIIIZ", "ZIIIIZI", "IZIZIII", "IZZIIII", "IZIIIZI", "ZZIIIII", "IIIZIII", "IIIIIIZ", "IIZIIII", "IIIIZII", "IIIIIZI", "ZIIIIII", "IZIIIII" ]
[ -0.25, -0.25, -0.5, -0.5, -0.25, 1, -0.5, -0.5, -0.5, -0.5, -0.25, -1, -0.25, -0.75, 0.25, 0.25, 0.25, 1.25 ]
0.970536
[ -0.44173747837386507, 0.005603409297500889, 0.05836178307980425, -1.201402489306377, -0.9317048549953064, 0.7320633774444789, 0.772973794919639, -1.6652911638748984, -0.7518283058778058, 0.06520245980832098, 0.12228192436712314, -0.10637680738364871, -0.2779417698846335, 1.5718265483768925, 1.0604257066290408, -0.6251658664303296, -0.07184331057286072, 0.003399261367031635, 0.15674331819536375, -1.1763500276665524, -1.2940496741468395, -0.7841045126942274, -0.2072464236680358, -0.4368449984785647 ]
{ "n_parameters": 24, "n_qubits": 7, "optimal_eigenvalue": -6, "target_ratio": 0.97, "target_value": -5.82 }
91
44db6493095286b918fb0c5bac33de1d
edge_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 5, "target": 7}]}
{"states": [12, 44], "expectation_value": -2.3315010912557774, "params": [[[0.5488000000000001, 0.12810000000000002], [0.5585, 0.1311], [0.8047000000000001, 0.0023], [0.0028, 0.5967], [0.8036000000000001, 0.0014], [0.8037000000000001, -0.0012000000000000001], [0.0023, 0.5991000000000001], [0.0029000000000000002, 0.5796]], [[0.5475, 0.003], [0.5643, 0.0083], [0.8004, 0.009600000000000001], [0.0028, 0.0086], [0.8079000000000001, 0.0053], [0.8082, 0.00030000000000000003], [0.0023, 0.0037], [0.0029000000000000002, 0.009000000000000001]]], "bitstrings": ["11110011", "11010011"], "total_optimization_steps": 80, "probabilities": [0.06847968922816591, 0.07335628993648623], "optimization_time": 4.358645439147949}
0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(5) @ Z(3)) + -0.125 * (Z(4) @ Z(3) @ Z(6)) + -0.125 * (Z(5) @ Z(3) @ Z(6)) + -0.125 * (Z(4) @ Z(5) @ Z(6)) + 0.125 * (Z(4) @ Z(5) @ Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + -0.25 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.625 * Z(3) + -0.125 * Z(4) + -0.125 * Z(5) + -0.625 * Z(6) + -1.0 * Z(7)
1
8
2
{"smallest_eigenvalues": [-3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.875, "smallest_bitstrings": ["10010111", "01011011", "11010011"], "largest_eigenvalue": 7.125}
OPENQASM 3.0; include "stdgates.inc"; qubit[8] q; rz(1.1114879293616777) q[0]; ry(0.15685993350026523) q[0]; rz(-1.2753559774581484) q[0]; rz(1.6455463798734922) q[1]; ry(0.12439450381357361) q[1]; rz(-2.0806830828243723) q[1]; rz(1.9810033602527488) q[2]; ry(2.948676107721393) q[2]; rz(-1.039626053423473) q[2]; rz(1.6110120789317959) q[3]; ry(0.060959426132882424) q[3]; rz(-1.2223900464000896) q[3]; rz(0.7867813245882846) q[4]; ry(2.8997968352391275) q[4]; rz(-2.5875171844089717) q[4]; rz(1.598873772609375) q[5]; ry(2.677598228176009) q[5]; rz(-1.4585364087430706) q[5]; rz(1.6650847369189687) q[6]; ry(0.16621336270756923) q[6]; rz(-1.6655654405388707) q[6]; rz(1.9398916516406635) q[7]; ry(0.13092249524799213) q[7]; rz(-1.2475557024370119) q[7];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[8] c; qubit[8] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x5) q[6]; rz(x12) q[6]; rx(x13) q[7]; rz(x14) q[7]; rx(x15) q[0]; rz(x16) q[0]; rx(x17) q[1]; rz(x18) q[1]; rx(x19) q[2]; rz(x20) q[2]; rx(x6) q[3]; rz(x21) q[3]; rx(x22) q[4]; rz(x23) q[4]; rx(x24) q[5]; rz(x25) q[5]; rx(x5) q[6]; rz(x26) q[6]; rx(x13) q[7]; rz(x27) q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
null
{"circuits": [], "gradients": []}
[ "IIIIIIZZ", "IIIIIZIZ", "IIIIIZZI", "IIIIIZZZ", "IIIZZIII", "IIZIZIII", "IZIIZIII", "IIZZIIII", "IZIZIIII", "IZZIIIII", "IIZZZIII", "IZIZZIII", "IZZIZIII", "IZZZIIII", "IZZZZIII", "IIIZIIIZ", "IIZIIIZI", "ZIIIIZII", "IIIIIIIZ", "IIIIIIZI", "IIIIIZII", "IIIIZIII", "IIIZIIII", "IIZIIIII", "IZIIIIII", "ZIIIIIII" ]
[ 0.25, 0.25, 0.25, -0.25, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, -0.125, -0.125, -0.125, -0.125, 0.125, 0.5, 0.5, 0.5, -0.25, -0.25, -0.25, -0.625, -0.125, -0.125, -0.625, -1 ]
0.972455
[ 0.40466514957797073, 0.2601706792456252, 0.0888412715111685, 0.2573921016905544, 1.8051101402836665, 0.08347576028210325, 0.030504361917943496, 0.08039412607444499, 1.381450409563023, -0.1699186896737985, 1.1033417399647076, 0.012564086284400422, 0.18792404571706298, 0.07017314689331701, 0.7365339036111361, -0.2725830016151189, -0.40994777328093535, 0.036407789368137045, -0.6929411318887974, 1.1605003719272677, 0.09440543797787279, 0.3081905282579078, 1.5870201847023035, -0.25024749068568675, 1.5744139553284493, 0.08719517652682908, -0.18905752386804636, -0.045854700487882316 ]
{ "n_parameters": 28, "n_qubits": 8, "optimal_eigenvalue": -3.875, "target_ratio": 0.97, "target_value": -3.75875 }
19
7e799239f8573f120a2c5e15cda2e88f
vertex_cover
adaptive_vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}]}
{"states": [14, 7], "expectation_value": -2.4964641631109394, "params": null, "bitstrings": ["10001", "11000"], "total_optimization_steps": 19, "probabilities": [0.06634837994070204, 0.9303663571679487], "optimization_time": 8.287782907485962}
0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -0.5 * Z(1) + 0.0 * Z(4)
1
5
1
{"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["10001", "11000"], "largest_eigenvalue": 3.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[5] q; ry(-0.013661432647873829) q[0]; rz(-pi) q[0]; h q[1]; ry(-0.47799463725369296) q[1]; h q[2]; ry(1.609883237122917) q[2]; h q[3]; ry(1.609883237122917) q[3]; h q[4]; cx q[4], q[1]; ry(0.47799463725369296) q[1]; cx q[4], q[1]; ry(-0.6440649203767641) q[1]; ry(0.9857223264217165) q[4]; cx q[3], q[4]; ry(-0.20788772536223854) q[4]; cx q[3], q[4]; cx q[3], q[1]; ry(0.122603744374332) q[4]; cx q[2], q[4]; ry(-0.122603744374332) q[4]; cx q[2], q[4]; ry(0.21189818417690193) q[1]; cx q[3], q[1]; ry(-0.0189694417472126) q[1]; cx q[2], q[1]; ry(0.0189694417472126) q[1]; cx q[2], q[1]; ry(-0.04283467146389605) q[4]; cx q[1], q[4]; ry(0.04283467146389605) q[4]; cx q[1], q[4]; ry(0.017363314519572334) q[2]; cx q[3], q[2]; ry(-0.017363314519572334) q[2]; cx q[3], q[2]; ry(0.03652298203699575) q[3]; cx q[2], q[3]; ry(-0.03652298203699575) q[3]; cx q[2], q[3]; cx q[3], q[0]; ry(-0.038989561780665406) q[0]; cx q[3], q[0];
null
null
{"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nry(1.4449) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nry(1.4449) q[2];\ncry(-1.0343) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nry(1.4449) q[2];\ncry(-1.0343) q[4], q[1];\nry(0.7003) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nry(1.4449) q[2];\ncry(-1.0343) q[4], q[1];\nry(0.7003) q[4];\nry(-0.4549) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nry(1.4449) q[2];\ncry(-1.0343) q[4], q[1];\nry(0.7003) q[4];\nry(-0.4549) q[1];\ncry(0.4963) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nry(1.4449) q[2];\ncry(-1.0343) q[4], q[1];\nry(0.7003) q[4];\nry(-0.4549) q[1];\ncry(0.4963) q[3], q[4];\ncry(-0.3789) q[3], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nry(1.4449) q[2];\ncry(-1.0343) q[4], q[1];\nry(0.7003) q[4];\nry(-0.4549) q[1];\ncry(0.4963) q[3], q[4];\ncry(-0.3789) q[3], q[1];\ncry(0.2489) q[2], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nry(1.4449) q[2];\ncry(-1.0343) q[4], q[1];\nry(0.7003) q[4];\nry(-0.4549) q[1];\ncry(0.4963) q[3], q[4];\ncry(-0.3789) q[3], q[1];\ncry(0.2489) q[2], q[4];\ncry(-0.1488) q[2], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nry(1.4449) q[2];\ncry(-1.0343) q[4], q[1];\nry(0.7003) q[4];\nry(-0.4549) q[1];\ncry(0.4963) q[3], q[4];\ncry(-0.3789) q[3], q[1];\ncry(0.2489) q[2], q[4];\ncry(-0.1488) q[2], q[1];\ncry(0.118) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nry(1.4449) q[2];\ncry(-1.0343) q[4], q[1];\nry(0.7003) q[4];\nry(-0.4549) q[1];\ncry(0.4963) q[3], q[4];\ncry(-0.3789) q[3], q[1];\ncry(0.2489) q[2], q[4];\ncry(-0.1488) q[2], q[1];\ncry(0.118) q[3], q[2];\ncry(0.1156) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nry(1.4449) q[2];\ncry(-1.0343) q[4], q[1];\nry(0.7003) q[4];\nry(-0.4549) q[1];\ncry(0.4963) q[3], q[4];\ncry(-0.3789) q[3], q[1];\ncry(0.2489) q[2], q[4];\ncry(-0.1488) q[2], q[1];\ncry(0.118) q[3], q[2];\ncry(0.1156) q[2], q[3];\ncry(-0.0027) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nry(1.4449) q[2];\ncry(-1.0343) q[4], q[1];\nry(0.7003) q[4];\nry(-0.4549) q[1];\ncry(0.4963) q[3], q[4];\ncry(-0.3789) q[3], q[1];\ncry(0.2489) q[2], q[4];\ncry(-0.1488) q[2], q[1];\ncry(0.118) q[3], q[2];\ncry(0.1156) q[2], q[3];\ncry(-0.0027) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nry(1.4449) q[2];\ncry(-1.0343) q[4], q[1];\nry(0.7003) q[4];\nry(-0.4549) q[1];\ncry(0.4963) q[3], q[4];\ncry(-0.3789) q[3], q[1];\ncry(0.2489) q[2], q[4];\ncry(-0.1488) q[2], q[1];\ncry(0.118) q[3], q[2];\ncry(0.1156) q[2], q[3];\ncry(-0.0027) q[3], q[0];\ncry(-0.0227) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nry(1.4449) q[2];\ncry(-1.0343) q[4], q[1];\nry(0.7003) q[4];\nry(-0.4549) q[1];\ncry(0.4963) q[3], q[4];\ncry(-0.3789) q[3], q[1];\ncry(0.2489) q[2], q[4];\ncry(-0.1488) q[2], q[1];\ncry(0.118) q[3], q[2];\ncry(0.1156) q[2], q[3];\ncry(-0.0027) q[3], q[0];\ncry(-0.0227) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nry(1.4449) q[2];\ncry(-1.0343) q[4], q[1];\nry(0.7003) q[4];\nry(-0.4549) q[1];\ncry(0.4963) q[3], q[4];\ncry(-0.3789) q[3], q[1];\ncry(0.2489) q[2], q[4];\ncry(-0.1488) q[2], q[1];\ncry(0.118) q[3], q[2];\ncry(0.1156) q[2], q[3];\ncry(-0.0027) q[3], q[0];\ncry(-0.0227) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nry(1.4449) q[2];\ncry(-1.0343) q[4], q[1];\nry(0.7003) q[4];\nry(-0.4549) q[1];\ncry(0.4963) q[3], q[4];\ncry(-0.3789) q[3], q[1];\ncry(0.2489) q[2], q[4];\ncry(-0.1488) q[2], q[1];\ncry(0.118) q[3], q[2];\ncry(0.1156) q[2], q[3];\ncry(-0.0027) q[3], q[0];\ncry(-0.0227) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nry(1.4449) q[2];\ncry(-1.0343) q[4], q[1];\nry(0.7003) q[4];\nry(-0.4549) q[1];\ncry(0.4963) q[3], q[4];\ncry(-0.3789) q[3], q[1];\ncry(0.2489) q[2], q[4];\ncry(-0.1488) q[2], q[1];\ncry(0.118) q[3], q[2];\ncry(0.1156) q[2], q[3];\ncry(-0.0027) q[3], q[0];\ncry(-0.0227) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n"], "gradients": [1.0047, 0.5002, 0.5, 0.2509, 0.2452, 0.1886, 0.2237, 0.1882, 0.1273, 0.0785, 0.0612, 0.0601, 0.0089, 0.0063, 0.0049, 0.0047, 0.0031, 0.0031, 0.0028]}
[ "IIZIZ", "IZIIZ", "IIIZZ", "ZIIZI", "IIZII", "IIIIZ", "IZIII", "IIIZI", "ZIIII" ]
[ 0.5, 0.5, 0.5, 0.5, 0, -1, 0, -0.5, 0 ]
0.994711
[ -1.5961244559276881, 1.609883237122917, -0.9559892745073859, 0.7778346010594781, -0.4321667361998622, 0.4157754507244771, -0.42379636835380385, 0.245207488748664, -0.0379388834944252, 0.03472662903914467, 0.0730459640739915, 0.07797912356133081, -0.0856693429277921 ]
{ "n_parameters": 13, "n_qubits": 5, "optimal_eigenvalue": -2.5, "target_ratio": 0.97, "target_value": -2.425 }
1
c12dc8bfc0d8e8bc2e65cda825a741ab
min_cut
qaoa
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 2}]}
{"states": [3, 1], "expectation_value": -0.11018709011519463, "params": [[-0.0402, -0.028200000000000003, -0.08020000000000001], [0.055200000000000006, 0.020800000000000003, 0.0673]], "bitstrings": ["100", "110"], "total_optimization_steps": 10, "probabilities": [0.13434759204846883, 0.14508861480303417], "optimization_time": 1.296553611755371}
-0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + 0.75 * (Z(2) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2)
1
3
3
{"smallest_eigenvalues": [-2.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0, "smallest_bitstrings": ["110"], "largest_eigenvalue": 2.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[3] q; h q[0]; h q[1]; cx q[1], q[0]; rz(0.98693634562561) q[0]; cx q[1], q[0]; h q[2]; cx q[1], q[2]; rz(0.5702754027205156) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.5702754027205152) q[1]; rx(0.1809670407241956) q[1]; rz(-0.0605909341297176) q[2]; cx q[0], q[2]; rz(0.5702754027205152) q[0]; rx(0.1809670407241956) q[0]; cx q[1], q[0]; rz(-0.4210489548362983) q[0]; cx q[1], q[0]; rz(0.010520344707930729) q[2]; rx(0.18096704072419553) q[2]; cx q[1], q[2]; rz(0.17941461010927579) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.1794146101092755) q[1]; rx(1.169259756964969) q[1]; rz(-0.5310091518833534) q[2]; cx q[0], q[2]; rz(0.1794146101092755) q[0]; rx(1.169259756964969) q[0]; cx q[1], q[0]; rz(0.8653272313101511) q[0]; cx q[1], q[0]; rz(-0.2457152434623917) q[2]; rx(1.1692597569649688) q[2]; cx q[1], q[2]; rz(0.8751350731179494) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.8751350731179492) q[1]; rx(1.1948763172499581) q[1]; rz(-0.4970495411829845) q[2]; cx q[0], q[2]; rz(0.8751350731179492) q[0]; rx(1.1948763172499581) q[0]; rz(-1.6475907910109493) q[2]; rx(1.1948763172499581) q[2];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[3] c; qubit[3] q; h q[0]; h q[1]; h q[2]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x1) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x2) q[2]; cx q[0], q[2]; rz(x1) q[1]; rz(x1) q[0]; rz(x3) q[2]; h q[0]; rz(x4) q[0]; h q[0]; h q[1]; rz(x4) q[1]; h q[1]; h q[2]; rz(x4) q[2]; h q[2]; cx q[1], q[0]; rz(x5) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x6) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x7) q[2]; cx q[0], q[2]; rz(x6) q[1]; rz(x6) q[0]; rz(x8) q[2]; h q[0]; rz(x9) q[0]; h q[0]; h q[1]; rz(x9) q[1]; h q[1]; h q[2]; rz(x9) q[2]; h q[2]; cx q[1], q[0]; rz(x10) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x11) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x12) q[2]; cx q[0], q[2]; rz(x11) q[1]; rz(x11) q[0]; rz(x13) q[2]; h q[0]; rz(x14) q[0]; h q[0]; h q[1]; rz(x14) q[1]; h q[1]; h q[2]; rz(x14) q[2]; h q[2]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2];
{"source": 0, "sink": 2}
{"circuits": [], "gradients": []}
[ "IZZ", "ZZI", "ZIZ", "IZI", "IIZ", "ZII" ]
[ -0.5, -0.25, 0.75, -0.25, -0.25, 0.5 ]
0.970753
[ 0.98693634562561, 0.5702754027205156, -0.0605909341297176, 0.01052034470793032, 0.1809670407241956, -0.4210489548362983, 0.17941461010927579, -0.5310091518833534, -0.24571524346239182, 1.169259756964969, 0.8653272313101511, 0.8751350731179494, -0.4970495411829845, -1.6475907910109493, 1.1948763172499581 ]
{ "n_parameters": 15, "n_qubits": 3, "optimal_eigenvalue": -2, "target_ratio": 0.97, "target_value": -1.94 }
68
12210bdb8f7c5877d15ce0dea7afc09c
vertex_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 8}, {"source": 2, "target": 9}, {"source": 3, "target": 5}, {"source": 4, "target": 7}, {"source": 4, "target": 9}, {"source": 5, "target": 8}, {"source": 7, "target": 8}]}
{"states": [797, 541], "expectation_value": -2.964683808546474, "params": [[[1.6013000000000002, 0.0021000000000000003], [1.5623, 0.0019], [0.14450000000000002, 0.0099], [0.5475, 0.0027], [0.1437, 0.009300000000000001], [1.603, 0.0035], [1.5891000000000002, 0.0007], [1.5999, 0.0019], [0.14880000000000002, 0.005200000000000001], [1.6077000000000001, 0.0076]]], "bitstrings": ["0011100010", "0111100010"], "total_optimization_steps": 160, "probabilities": [0.016335587333655515, 0.016615100051138306], "optimization_time": 2.9159953594207764}
0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(8)) + -1.0 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(1) + 0.0 * Z(6) + -1.0 * Z(8) + -0.5 * Z(9) + -0.5 * Z(5) + -0.5 * Z(7)
1
10
1
{"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0011101010", "0111100010"], "largest_eigenvalue": 11.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[10] q; rx(3.2406260760516545) q[0]; rz(0.9483410122927294) q[0]; rx(-0.026273057328679128) q[1]; rz(-1.3303679328036595) q[1]; rx(-0.14266395752737124) q[2]; rz(1.057464151807452) q[2]; rx(0.053260050418974136) q[3]; rz(-0.18805960992949444) q[3]; rx(0.3615812544627283) q[4]; rz(1.1069936612866198) q[4]; rx(2.953677049246105) q[5]; rz(0.4452666946092829) q[5]; rx(2.8862702832968403) q[6]; rz(-1.3189156741702894) q[6]; rx(3.2568424461090393) q[7]; rz(-1.3303679328036595) q[7]; rx(-0.0852498082521167) q[8]; rz(0.9350890365313196) q[8]; rx(3.2014171173363795) q[9]; rz(-0.08014253351520785) q[9];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[10] c; qubit[10] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x3) q[7]; rx(x15) q[8]; rz(x16) q[8]; rx(x17) q[9]; rz(x18) q[9]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9];
null
{"circuits": [], "gradients": []}
[ "IIIIIIIZIZ", "IIIIIIZIIZ", "IIIIIZIIZI", "IIIZIIIIZI", "IZIIIIIZII", "ZIIIIIIZII", "ZIIIIZIIII", "IIIIZIZIII", "IZIIZIIIII", "IIZIIZIIII", "IZZIIIIIII", "IIIIIIIZII", "IIIIIIIIIZ", "IIIIIIZIII", "IIIIIZIIII", "IIIIIIIIZI", "IIIZIIIIII", "IZIIIIIIII", "ZIIIIIIIII", "IIIIZIIIII", "IIZIIIIIII" ]
[ 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, -1, -0.5, -0.5, -1, -0.5, 0, -1, -0.5, -0.5, -0.5 ]
0.972489
[ 3.2406260760516545, 0.9483410122927294, -0.026273057328679128, -1.3303679328036595, -0.14266395752737124, 1.057464151807452, 0.053260050418974136, -0.18805960992949444, 0.3615812544627283, 1.1069936612866198, 2.953677049246105, 0.4452666946092829, 2.8862702832968403, -1.3189156741702894, 3.2568424461090393, -0.0852498082521167, 0.9350890365313196, 3.2014171173363795, -0.08014253351520785 ]
{ "n_parameters": 19, "n_qubits": 10, "optimal_eigenvalue": -5.5, "target_ratio": 0.97, "target_value": -5.335 }
27
a617cd4648156ddc77f993201a7a952c
kclique
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 5, "target": 7}, {"source": 6, "target": 7}]}
{"states": [70, 7], "expectation_value": -12.373769903873796, "params": [[0.0129, 0.022500000000000003, 0.0079, 0.0125], [-0.028200000000000003, -0.0519, -0.052700000000000004, -0.0439]], "bitstrings": ["10111001", "11111000"], "total_optimization_steps": 10, "probabilities": [0.008112079983223441, 0.008966988056707065], "optimization_time": 12.005473613739014}
2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) @ Z(4)) + 3.0 * (Z(6) @ Z(5)) + 3.0 * (Z(7) @ Z(1)) + 2.75 * (Z(7) @ Z(0)) + 3.0 * (Z(7) @ Z(2)) + 3.0 * (Z(7) @ Z(3)) + 3.0 * (Z(7) @ Z(4)) + 2.75 * (Z(7) @ Z(5)) + 2.75 * (Z(7) @ Z(6)) + -7.0 * Z(1) + -7.25 * Z(0) + -7.0 * Z(2) + -7.0 * Z(3) + -7.0 * Z(4) + -6.25 * Z(5) + -6.25 * Z(6) + -6.75 * Z(7)
9
8
4
{"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.25}
OPENQASM 3.0; include "stdgates.inc"; qubit[8] q; h q[0]; h q[1]; cx q[1], q[0]; rz(0.016051595018557085) q[0]; cx q[1], q[0]; h q[2]; cx q[1], q[2]; rz(0.016051595018557085) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.016051595018557085) q[2]; cx q[0], q[2]; h q[3]; cx q[1], q[3]; rz(0.016051595018557085) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(0.016051595018557085) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(0.016051595018557085) q[3]; cx q[2], q[3]; h q[4]; cx q[1], q[4]; rz(0.016051595018557085) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(0.016051595018557085) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(0.016051595018557085) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(0.016051595018557085) q[4]; cx q[3], q[4]; h q[5]; cx q[1], q[5]; rz(-0.044725556110224884) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(-0.044725556110224884) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(-0.044725556110224884) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(-0.044725556110224884) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(-0.044725556110224884) q[5]; cx q[4], q[5]; h q[6]; cx q[1], q[6]; rz(-0.044725556110224884) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(-0.044725556110224884) q[6]; cx q[0], q[6]; cx q[2], q[6]; rz(-0.044725556110224884) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(-0.044725556110224884) q[6]; cx q[3], q[6]; cx q[4], q[6]; rz(-0.044725556110224884) q[6]; cx q[4], q[6]; cx q[5], q[6]; rz(-0.044725556110224884) q[6]; cx q[5], q[6]; h q[7]; cx q[1], q[7]; rz(-0.044725556110224884) q[7]; cx q[1], q[7]; cx q[0], q[7]; rz(-1.5942489739862031) q[1]; rx(-1.4758902744393279) q[1]; rz(0.016051595018557085) q[7]; cx q[0], q[7]; rz(-1.5119150626040279) q[0]; rx(-1.4758902744393279) q[0]; cx q[1], q[0]; rz(0.463896267873675) q[0]; cx q[1], q[0]; cx q[2], q[7]; rz(-0.044725556110224884) q[7]; cx q[2], q[7]; rz(-1.5942489739862031) q[2]; rx(-1.4758902744393279) q[2]; cx q[1], q[2]; rz(0.463896267873675) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.463896267873675) q[2]; cx q[0], q[2]; cx q[3], q[7]; rz(-0.044725556110224884) q[7]; cx q[3], q[7]; rz(-1.5942489739862031) q[3]; rx(-1.4758902744393279) q[3]; cx q[1], q[3]; rz(0.463896267873675) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(0.463896267873675) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(0.463896267873675) q[3]; cx q[2], q[3]; cx q[4], q[7]; rz(-0.044725556110224884) q[7]; cx q[4], q[7]; rz(-1.5942489739862031) q[4]; rx(-1.4758902744393279) q[4]; cx q[1], q[4]; rz(0.463896267873675) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(0.463896267873675) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(0.463896267873675) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(0.463896267873675) q[4]; cx q[3], q[4]; cx q[5], q[7]; rz(0.016051595018557085) q[7]; cx q[5], q[7]; rz(1.9424860514285687) q[5]; rx(-1.4758902744393279) q[5]; cx q[1], q[5]; rz(0.4666780978923133) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(0.4666780978923133) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(0.4666780978923133) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(0.4666780978923133) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(0.4666780978923133) q[5]; cx q[4], q[5]; cx q[6], q[7]; rz(0.016051595018557085) q[7]; cx q[6], q[7]; rz(1.9424860514285687) q[6]; rx(-1.4758902744393279) q[6]; cx q[1], q[6]; rz(0.4666780978923133) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(0.4666780978923133) q[6]; cx q[0], q[6]; cx q[2], q[6]; rz(0.4666780978923133) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(0.4666780978923133) q[6]; cx q[3], q[6]; cx q[4], q[6]; rz(0.4666780978923133) q[6]; cx q[4], q[6]; cx q[5], q[6]; rz(0.4666780978923133) q[6]; cx q[5], q[6]; rz(1.781259697944197) q[7]; rx(-1.4758902744393279) q[7]; cx q[1], q[7]; rz(0.4666780978923133) q[7]; cx q[1], q[7]; cx q[0], q[7]; rz(-1.0713581426797694) q[1]; rx(0.11673470776900455) q[1]; rz(0.463896267873675) q[7]; cx q[0], q[7]; rz(-2.0979600597052883) q[0]; rx(0.11673470776900456) q[0]; cx q[1], q[0]; rz(0.5323491989929626) q[0]; cx q[1], q[0]; cx q[2], q[7]; rz(0.4666780978923133) q[7]; cx q[2], q[7]; rz(-1.0713581426797694) q[2]; rx(0.11673470776900455) q[2]; cx q[1], q[2]; rz(0.5323491989929626) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.5323491989929626) q[2]; cx q[0], q[2]; cx q[3], q[7]; rz(0.4666780978923133) q[7]; cx q[3], q[7]; rz(-1.0713581426797694) q[3]; rx(0.11673470776900455) q[3]; cx q[1], q[3]; rz(0.5323491989929626) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(0.5323491989929626) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(0.5323491989929626) q[3]; cx q[2], q[3]; cx q[4], q[7]; rz(0.4666780978923133) q[7]; cx q[4], q[7]; rz(-1.0713581426797694) q[4]; rx(0.11673470776900455) q[4]; cx q[1], q[4]; rz(0.5323491989929626) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(0.5323491989929626) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(0.5323491989929626) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(0.5323491989929626) q[4]; cx q[3], q[4]; cx q[5], q[7]; rz(0.463896267873675) q[7]; cx q[5], q[7]; rz(1.3741062613907573) q[5]; rx(0.11673470776900459) q[5]; cx q[1], q[5]; rz(0.6634091015555457) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(0.6634091015555457) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(0.6634091015555457) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(0.6634091015555457) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(0.6634091015555457) q[5]; cx q[4], q[5]; cx q[6], q[7]; rz(0.463896267873675) q[7]; cx q[6], q[7]; rz(1.3741062613907573) q[6]; rx(0.11673470776900459) q[6]; cx q[1], q[6]; rz(0.6634091015555457) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(0.6634091015555457) q[6]; cx q[0], q[6]; cx q[2], q[6]; rz(0.6634091015555457) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(0.6634091015555457) q[6]; cx q[3], q[6]; cx q[4], q[6]; rz(0.6634091015555457) q[6]; cx q[4], q[6]; cx q[5], q[6]; rz(0.6634091015555457) q[6]; cx q[5], q[6]; rz(-0.36896266833425173) q[7]; rx(0.11673470776900453) q[7]; cx q[1], q[7]; rz(0.6634091015555457) q[7]; cx q[1], q[7]; cx q[0], q[7]; rz(0.12715421474492228) q[1]; rx(-0.06631632073217084) q[1]; rz(0.5323491989929626) q[7]; cx q[0], q[7]; rz(-0.8428197580705006) q[0]; rx(-0.06631632073217082) q[0]; cx q[1], q[0]; rz(-1.0764446124675977) q[0]; cx q[1], q[0]; cx q[2], q[7]; rz(0.6634091015555457) q[7]; cx q[2], q[7]; rz(0.12715421474492228) q[2]; rx(-0.06631632073217084) q[2]; cx q[1], q[2]; rz(-1.0764446124675977) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(-1.0764446124675977) q[2]; cx q[0], q[2]; cx q[3], q[7]; rz(0.6634091015555457) q[7]; cx q[3], q[7]; rz(0.12715421474492228) q[3]; rx(-0.06631632073217084) q[3]; cx q[1], q[3]; rz(-1.0764446124675977) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(-1.0764446124675977) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(-1.0764446124675977) q[3]; cx q[2], q[3]; cx q[4], q[7]; rz(0.6634091015555457) q[7]; cx q[4], q[7]; rz(0.12715421474492228) q[4]; rx(-0.06631632073217084) q[4]; cx q[1], q[4]; rz(-1.0764446124675977) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(-1.0764446124675977) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(-1.0764446124675977) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(-1.0764446124675977) q[4]; cx q[3], q[4]; cx q[5], q[7]; rz(0.5323491989929626) q[7]; cx q[5], q[7]; rz(-0.522514825854469) q[5]; rx(-0.06631632073217088) q[5]; cx q[1], q[5]; rz(-0.8861043317827839) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(-0.8861043317827839) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(-0.8861043317827839) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(-0.8861043317827839) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(-0.8861043317827839) q[5]; cx q[4], q[5]; cx q[6], q[7]; rz(0.5323491989929626) q[7]; cx q[6], q[7]; rz(-0.522514825854469) q[6]; rx(-0.06631632073217088) q[6]; cx q[1], q[6]; rz(-0.8861043317827839) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(-0.8861043317827839) q[6]; cx q[0], q[6]; cx q[2], q[6]; rz(-0.8861043317827839) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(-0.8861043317827839) q[6]; cx q[3], q[6]; cx q[4], q[6]; rz(-0.8861043317827839) q[6]; cx q[4], q[6]; cx q[5], q[6]; rz(-0.8861043317827839) q[6]; cx q[5], q[6]; rz(0.5845748985305779) q[7]; rx(-0.06631632073217077) q[7]; cx q[1], q[7]; rz(-0.8861043317827839) q[7]; cx q[1], q[7]; cx q[0], q[7]; rz(0.35389312541036455) q[1]; rx(-0.06636314867623813) q[1]; rz(-1.0764446124675977) q[7]; cx q[0], q[7]; rz(0.6290807433701282) q[0]; rx(-0.06636314867623817) q[0]; cx q[2], q[7]; rz(-0.8861043317827839) q[7]; cx q[2], q[7]; rz(0.35389312541036455) q[2]; rx(-0.06636314867623813) q[2]; cx q[3], q[7]; rz(-0.8861043317827839) q[7]; cx q[3], q[7]; rz(0.35389312541036455) q[3]; rx(-0.06636314867623813) q[3]; cx q[4], q[7]; rz(-0.8861043317827839) q[7]; cx q[4], q[7]; rz(0.35389312541036455) q[4]; rx(-0.06636314867623813) q[4]; cx q[5], q[7]; rz(-1.0764446124675977) q[7]; cx q[5], q[7]; rz(1.355442123696708) q[5]; rx(-0.06636314867623813) q[5]; cx q[6], q[7]; rz(-1.0764446124675977) q[7]; cx q[6], q[7]; rz(1.355442123696708) q[6]; rx(-0.06636314867623813) q[6]; rz(-0.45446902192500005) q[7]; rx(-0.06636314867623812) q[7];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[8] c; qubit[8] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x0) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(x0) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x0) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x0) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(x0) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(x0) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(x0) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(x0) q[4]; cx q[3], q[4]; cx q[1], q[5]; rz(x1) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(x1) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(x1) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x1) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x1) q[5]; cx q[4], q[5]; cx q[1], q[6]; rz(x1) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(x1) q[6]; cx q[0], q[6]; cx q[2], q[6]; rz(x1) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x1) q[6]; cx q[3], q[6]; cx q[4], q[6]; rz(x1) q[6]; cx q[4], q[6]; cx q[5], q[6]; rz(x1) q[6]; cx q[5], q[6]; cx q[1], q[7]; rz(x1) q[7]; cx q[1], q[7]; cx q[0], q[7]; rz(x0) q[7]; cx q[0], q[7]; cx q[2], q[7]; rz(x1) q[7]; cx q[2], q[7]; cx q[3], q[7]; rz(x1) q[7]; cx q[3], q[7]; cx q[4], q[7]; rz(x1) q[7]; cx q[4], q[7]; cx q[5], q[7]; rz(x0) q[7]; cx q[5], q[7]; cx q[6], q[7]; rz(x0) q[7]; cx q[6], q[7]; rz(x2) q[1]; rz(x3) q[0]; rz(x2) q[2]; rz(x2) q[3]; rz(x2) q[4]; rz(x4) q[5]; rz(x4) q[6]; rz(x5) q[7]; h q[0]; rz(x6) q[0]; h q[0]; h q[1]; rz(x6) q[1]; h q[1]; h q[2]; rz(x6) q[2]; h q[2]; h q[3]; rz(x6) q[3]; h q[3]; h q[4]; rz(x6) q[4]; h q[4]; h q[5]; rz(x6) q[5]; h q[5]; h q[6]; rz(x6) q[6]; h q[6]; h q[7]; rz(x6) q[7]; h q[7]; cx q[1], q[0]; rz(x7) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x7) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x7) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(x7) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x7) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x7) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(x7) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(x7) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(x7) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(x7) q[4]; cx q[3], q[4]; cx q[1], q[5]; rz(x8) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(x8) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(x8) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x8) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x8) q[5]; cx q[4], q[5]; cx q[1], q[6]; rz(x8) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(x8) q[6]; cx q[0], q[6]; cx q[2], q[6]; rz(x8) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x8) q[6]; cx q[3], q[6]; cx q[4], q[6]; rz(x8) q[6]; cx q[4], q[6]; cx q[5], q[6]; rz(x8) q[6]; cx q[5], q[6]; cx q[1], q[7]; rz(x8) q[7]; cx q[1], q[7]; cx q[0], q[7]; rz(x7) q[7]; cx q[0], q[7]; cx q[2], q[7]; rz(x8) q[7]; cx q[2], q[7]; cx q[3], q[7]; rz(x8) q[7]; cx q[3], q[7]; cx q[4], q[7]; rz(x8) q[7]; cx q[4], q[7]; cx q[5], q[7]; rz(x7) q[7]; cx q[5], q[7]; cx q[6], q[7]; rz(x7) q[7]; cx q[6], q[7]; rz(x9) q[1]; rz(x10) q[0]; rz(x9) q[2]; rz(x9) q[3]; rz(x9) q[4]; rz(x11) q[5]; rz(x11) q[6]; rz(x12) q[7]; h q[0]; rz(x13) q[0]; h q[0]; h q[1]; rz(x13) q[1]; h q[1]; h q[2]; rz(x13) q[2]; h q[2]; h q[3]; rz(x13) q[3]; h q[3]; h q[4]; rz(x13) q[4]; h q[4]; h q[5]; rz(x13) q[5]; h q[5]; h q[6]; rz(x13) q[6]; h q[6]; h q[7]; rz(x13) q[7]; h q[7]; cx q[1], q[0]; rz(x14) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x14) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x14) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(x14) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x14) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x14) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(x14) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(x14) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(x14) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(x14) q[4]; cx q[3], q[4]; cx q[1], q[5]; rz(x15) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(x15) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(x15) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x15) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x15) q[5]; cx q[4], q[5]; cx q[1], q[6]; rz(x15) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(x15) q[6]; cx q[0], q[6]; cx q[2], q[6]; rz(x15) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x15) q[6]; cx q[3], q[6]; cx q[4], q[6]; rz(x15) q[6]; cx q[4], q[6]; cx q[5], q[6]; rz(x15) q[6]; cx q[5], q[6]; cx q[1], q[7]; rz(x15) q[7]; cx q[1], q[7]; cx q[0], q[7]; rz(x14) q[7]; cx q[0], q[7]; cx q[2], q[7]; rz(x15) q[7]; cx q[2], q[7]; cx q[3], q[7]; rz(x15) q[7]; cx q[3], q[7]; cx q[4], q[7]; rz(x15) q[7]; cx q[4], q[7]; cx q[5], q[7]; rz(x14) q[7]; cx q[5], q[7]; cx q[6], q[7]; rz(x14) q[7]; cx q[6], q[7]; rz(x16) q[1]; rz(x17) q[0]; rz(x16) q[2]; rz(x16) q[3]; rz(x16) q[4]; rz(x18) q[5]; rz(x18) q[6]; rz(x19) q[7]; h q[0]; rz(x20) q[0]; h q[0]; h q[1]; rz(x20) q[1]; h q[1]; h q[2]; rz(x20) q[2]; h q[2]; h q[3]; rz(x20) q[3]; h q[3]; h q[4]; rz(x20) q[4]; h q[4]; h q[5]; rz(x20) q[5]; h q[5]; h q[6]; rz(x20) q[6]; h q[6]; h q[7]; rz(x20) q[7]; h q[7]; cx q[1], q[0]; rz(x21) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x21) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x21) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(x21) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x21) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x21) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(x21) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(x21) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(x21) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(x21) q[4]; cx q[3], q[4]; cx q[1], q[5]; rz(x22) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(x22) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(x22) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x22) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x22) q[5]; cx q[4], q[5]; cx q[1], q[6]; rz(x22) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(x22) q[6]; cx q[0], q[6]; cx q[2], q[6]; rz(x22) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x22) q[6]; cx q[3], q[6]; cx q[4], q[6]; rz(x22) q[6]; cx q[4], q[6]; cx q[5], q[6]; rz(x22) q[6]; cx q[5], q[6]; cx q[1], q[7]; rz(x22) q[7]; cx q[1], q[7]; cx q[0], q[7]; rz(x21) q[7]; cx q[0], q[7]; cx q[2], q[7]; rz(x22) q[7]; cx q[2], q[7]; cx q[3], q[7]; rz(x22) q[7]; cx q[3], q[7]; cx q[4], q[7]; rz(x22) q[7]; cx q[4], q[7]; cx q[5], q[7]; rz(x21) q[7]; cx q[5], q[7]; cx q[6], q[7]; rz(x21) q[7]; cx q[6], q[7]; rz(x23) q[1]; rz(x24) q[0]; rz(x23) q[2]; rz(x23) q[3]; rz(x23) q[4]; rz(x25) q[5]; rz(x25) q[6]; rz(x26) q[7]; h q[0]; rz(x27) q[0]; h q[0]; h q[1]; rz(x27) q[1]; h q[1]; h q[2]; rz(x27) q[2]; h q[2]; h q[3]; rz(x27) q[3]; h q[3]; h q[4]; rz(x27) q[4]; h q[4]; h q[5]; rz(x27) q[5]; h q[5]; h q[6]; rz(x27) q[6]; h q[6]; h q[7]; rz(x27) q[7]; h q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
{"k": 5}
{"circuits": [], "gradients": []}
[ "IIIIIIZZ", "IIIIIZZI", "IIIIIZIZ", "IIIIZIZI", "IIIIZIIZ", "IIIIZZII", "IIIZIIZI", "IIIZIIIZ", "IIIZIZII", "IIIZZIII", "IIZIIIZI", "IIZIIIIZ", "IIZIIZII", "IIZIZIII", "IIZZIIII", "IZIIIIZI", "IZIIIIIZ", "IZIIIZII", "IZIIZIII", "IZIZIIII", "IZZIIIII", "ZIIIIIZI", "ZIIIIIIZ", "ZIIIIZII", "ZIIIZIII", "ZIIZIIII", "ZIZIIIII", "ZZIIIIII", "IIIIIIZI", "IIIIIIIZ", "IIIIIZII", "IIIIZIII", "IIIZIIII", "IIZIIIII", "IZIIIIII", "ZIIIIIII" ]
[ 2.75, 2.75, 2.75, 2.75, 2.75, 2.75, 2.75, 2.75, 2.75, 2.75, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2.75, 3, 3, 3, 2.75, 2.75, -7, -7.25, -7, -7, -7, -6.25, -6.25, -6.75 ]
0.976479
[ 0.016051595018557085, -0.044725556110224884, -1.5942489739862034, -1.511915062604028, 1.942486051428569, 1.7812596979441973, -1.4758902744393279, 0.463896267873675, 0.4666780978923133, -1.0713581426797705, -2.0979600597052888, 1.374106261390757, -0.36896266833425195, 0.11673470776900458, 0.5323491989929626, 0.6634091015555457, 0.12715421474492222, -0.842819758070501, -0.5225148258544701, 0.5845748985305803, -0.06631632073217084, -1.0764446124675977, -0.8861043317827839, 0.35389312541036494, 0.629080743370126, 1.3554421236967076, -0.45446902192500105, -0.06636314867623813 ]
{ "n_parameters": 28, "n_qubits": 8, "optimal_eigenvalue": -24.75, "target_ratio": 0.97, "target_value": -24.0075 }
78
4c5a23f8c8a34bc9c0e926b6ce68cf56
connected_components
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 6, "target": 7}]}
{"states": [124, 127], "expectation_value": -1.9824099301492069, "params": [[-0.0785], [0.0786]], "bitstrings": ["0000011", "0000000"], "total_optimization_steps": 10, "probabilities": [0.014303046136399709, 0.014303046136399709], "optimization_time": 0.5492565631866455}
-2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 1.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 1.0 * Z(6) + -1.0 * Z(5)
1
7
1
{"smallest_eigenvalues": [-17.5, -17.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -16.5, "smallest_bitstrings": ["0000000", "0000011"], "largest_eigenvalue": 20.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[7] q; h q[0]; h q[1]; cx q[1], q[0]; rz(-0.008907998117038513) q[0]; cx q[1], q[0]; h q[2]; cx q[1], q[2]; rz(-0.008907998117038513) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.0030026574133024085) q[2]; cx q[0], q[2]; h q[3]; h q[4]; cx q[1], q[4]; rz(0.012160051034437798) q[4]; cx q[1], q[4]; cx q[0], q[4]; cx q[1], q[3]; rz(-0.008907998117038513) q[3]; cx q[1], q[3]; rz(-1.5737503648108313) q[1]; rx(1.545424092963458) q[1]; rz(-0.008907998117038513) q[4]; cx q[0], q[4]; cx q[0], q[3]; cx q[2], q[4]; rz(0.017311852319611208) q[3]; cx q[0], q[3]; rz(-1.5737503648108313) q[0]; rx(1.545424092963458) q[0]; rz(-0.008907998117038513) q[4]; cx q[2], q[4]; cx q[2], q[3]; rz(0.017311852319611208) q[3]; cx q[2], q[3]; rz(-1.5737503648108313) q[2]; rx(1.545424092963458) q[2]; cx q[4], q[3]; rz(-0.008907998117038513) q[3]; cx q[4], q[3]; rz(-1.5737503648108313) q[3]; rx(1.545424092963458) q[3]; rz(-1.5737503648108313) q[4]; rx(1.545424092963458) q[4]; h q[5]; h q[6]; cx q[6], q[5]; rz(0.10260007464896775) q[5]; cx q[6], q[5]; rz(1.5800371351888165) q[5]; rx(1.545424092963458) q[5]; rz(0.01731185231961163) q[6]; rx(1.5454240929634577) q[6];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x0) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x1) q[2]; cx q[0], q[2]; cx q[1], q[4]; rz(x2) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(x0) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(x0) q[4]; cx q[2], q[4]; cx q[1], q[3]; rz(x0) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x3) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x3) q[3]; cx q[2], q[3]; cx q[4], q[3]; rz(x0) q[3]; cx q[4], q[3]; cx q[6], q[5]; rz(x4) q[5]; cx q[6], q[5]; rz(x5) q[1]; rz(x5) q[0]; rz(x5) q[2]; rz(x5) q[4]; rz(x5) q[3]; rz(x3) q[6]; rz(x6) q[5]; h q[0]; rz(x7) q[0]; h q[0]; h q[1]; rz(x7) q[1]; h q[1]; h q[2]; rz(x7) q[2]; h q[2]; h q[3]; rz(x7) q[3]; h q[3]; h q[4]; rz(x7) q[4]; h q[4]; h q[5]; rz(x7) q[5]; h q[5]; h q[6]; rz(x7) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
{"node": 5}
{"circuits": [], "gradients": []}
[ "IIIIIZZ", "IIIIZZI", "IIIIZIZ", "IIZIIZI", "IIZIIIZ", "IIZIZII", "IIIZIZI", "IIIZIIZ", "IIIZZII", "IIZZIII", "ZZIIIII", "IIIIIZI", "IIIIIIZ", "IIIIZII", "IIZIIII", "IIIZIII", "ZIIIIII", "IZIIIII" ]
[ -2.5, -2.5, -2, 1.5, -2.5, -2.5, -2.5, 1, 1, -2.5, -1.5, 0.5, 0.5, 0.5, 0.5, 0.5, 1, -1 ]
0.970908
[ -0.008907998117038513, 0.0030026574133024085, 0.012160051034437798, 0.017311852319611208, 0.10260007464896775, -1.5737503648108313, 1.580037135188816, 1.5454240929634577 ]
{ "n_parameters": 8, "n_qubits": 7, "optimal_eigenvalue": -17.5, "target_ratio": 0.97, "target_value": -16.974999999999998 }
75
56bf2b9b5079d42e66a4e14293694014
matching
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite": 1, "id": 9}, {"bipartite": 1, "id": 10}, {"bipartite": 1, "id": 11}, {"bipartite": 1, "id": 12}, {"bipartite": 1, "id": 13}, {"bipartite": 1, "id": 14}], "edges": [{"weight": 2, "source": 0, "target": 7}, {"weight": 6, "source": 1, "target": 8}, {"weight": 19, "source": 1, "target": 11}, {"weight": 18, "source": 1, "target": 13}, {"weight": 7, "source": 2, "target": 9}, {"weight": 14, "source": 2, "target": 7}, {"weight": 1, "source": 3, "target": 10}, {"weight": 19, "source": 3, "target": 7}, {"weight": 5, "source": 4, "target": 11}, {"weight": 3, "source": 5, "target": 12}, {"weight": 6, "source": 6, "target": 13}, {"weight": 19, "source": 6, "target": 9}]}
{"states": [1745, 1681], "expectation_value": -65.23018612784095, "params": [0.6618, 0.17600000000000002, 0.9978, 0.0143, 0.9938, 0.0342, 0.7914, 0.2195, 0.9985, 0.0427, 0.7911, 0.22010000000000002, -0.0024000000000000002, 0.6598, 1.0079, 0.0115, -0.0059, 0.518, 0.005, 0.13720000000000002, 0.7903, 0.26130000000000003, 1.002, 0.2028, 0.6634, 0.0035, 0.9963000000000001, 0.0031000000000000003, 0.9948, 0.0098, 0.7922, 0.009600000000000001, 1.0010000000000001, 0.0047, 0.7925000000000001, 0.0018000000000000002, -0.0024000000000000002, 0.004200000000000001, 1.0074, 0.0068000000000000005, -0.0032, 0.0082, -0.0005, 0.0097, 0.79, 0.008, 1.0002, 0.003, 0.0381, 0.0046, 0.008400000000000001, 0.036500000000000005, 0.22210000000000002, 0.009600000000000001, 0.004200000000000001, 0.10020000000000001, 0.22590000000000002, 0.0016, 0.008700000000000001, -0.6342, 0.0131, 0.0011, 0.0027, -0.3173, -0.1192, 0.0037, 0.0064, -0.251, 0.33130000000000004, 0.0015, 0.0068000000000000005, 0.0036000000000000003, 0.0027, 0.0088, 0.0, 0.006900000000000001, 0.0066, 0.0066, 0.0045000000000000005, 0.0091, 0.004, 0.0001, 0.0049, 0.0071, 0.0066, 0.005, 0.0086, 0.0085, 0.0081, 0.0045000000000000005, 0.0063, 0.0081, 0.0007, 0.0009000000000000001, 0.0047, 0.00030000000000000003], "bitstrings": ["100100101110", "100101101110"], "total_optimization_steps": 100, "probabilities": [0.014953286467935551, 0.015038589020083957], "optimization_time": 12.072137832641602}
8.0 * (Z(1) @ Z(3)) + 8.0 * (Z(2) @ Z(3)) + 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(0) @ Z(4)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(7) @ Z(4)) + 8.0 * (Z(7) @ Z(0)) + 8.0 * (Z(6) @ Z(7)) + 8.0 * (Z(8) @ Z(1)) + 8.0 * (Z(10) @ Z(2)) + 8.0 * (Z(11) @ Z(5)) + 8.0 * (Z(11) @ Z(10)) + 3.0 * Z(3) + 17.5 * Z(1) + 17.0 * Z(2) + 15.0 * Z(4) + 1.0 * Z(0) + 3.5 * Z(5) + 17.5 * Z(7) + -7.5 * Z(6) + -5.5 * Z(8) + 3.0 * Z(10) + 9.5 * Z(11) + -14.5 * Z(9)
16
12
2
{"smallest_eigenvalues": [-157.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -132.5, "smallest_bitstrings": ["100101101110"], "largest_eigenvalue": 184.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[12] q; rx(0.38080245237496735) q[0]; rz(0.02758723353883319) q[0]; rx(1.181041379555914) q[1]; rz(0.14430224124918034) q[1]; cx q[1], q[0]; rz(0.022505404665084328) q[0]; cx q[1], q[0]; rx(-0.20472868232146732) q[0]; rz(0.24966133270202917) q[0]; rz(0.014987493321678397) q[1]; rx(1.9308877648993457) q[2]; rz(-0.04306363823426507) q[2]; rx(-0.1920930027405437) q[3]; rz(0.1146910644878712) q[3]; cx q[3], q[2]; rz(-0.07546251108301516) q[2]; cx q[3], q[2]; cx q[2], q[1]; rz(-0.014987493321678397) q[1]; cx q[2], q[1]; rx(1.7058516259821421) q[1]; rz(0.5961010322154183) q[1]; cx q[1], q[0]; rz(-0.052687054653706406) q[0]; cx q[1], q[0]; rz(-0.11242598413685836) q[3]; rz(0.26230167510717556) q[1]; rx(1.1630140995692537) q[2]; rz(-0.15662548005874832) q[2]; rx(1.6362987414456447) q[4]; rz(0.1148798765467145) q[4]; rx(-0.5970393911872476) q[5]; rz(-0.061882449062761996) q[5]; cx q[5], q[4]; rz(-0.3000532175011381) q[4]; cx q[5], q[4]; cx q[4], q[3]; rz(0.11242598413685836) q[3]; cx q[4], q[3]; rz(-0.2400717637118137) q[5]; rx(0.4392266606642982) q[3]; rz(0.7555774322569643) q[3]; cx q[3], q[2]; rz(-0.022517727784131046) q[2]; cx q[3], q[2]; cx q[2], q[1]; rz(-0.26230167510717556) q[1]; cx q[2], q[1]; rz(-0.006905402979673483) q[3]; rx(1.719484815505826) q[4]; rz(0.36597251576031287) q[4]; rx(0.04365754900695417) q[6]; rz(-0.13808052665794257) q[6]; rx(1.237828755301249) q[7]; rz(0.07700096196351436) q[7]; cx q[7], q[6]; rz(0.12062726978450693) q[6]; cx q[7], q[6]; cx q[6], q[5]; rz(0.2400717637118137) q[5]; cx q[6], q[5]; rz(-0.21047495971384053) q[7]; rx(0.5170041404318715) q[5]; rz(-0.1875472856697558) q[5]; cx q[5], q[4]; rz(0.07764349617704165) q[4]; cx q[5], q[4]; cx q[4], q[3]; rz(0.006905402979673483) q[3]; cx q[4], q[3]; rz(0.016255836466976776) q[5]; rx(0.04365754900695416) q[6]; rz(-0.10773988667026924) q[6]; rx(0.20768485823603097) q[8]; rz(0.8308994777315402) q[8]; rx(0.04028251518351418) q[9]; rz(0.044073384348681875) q[9]; cx q[9], q[8]; rz(0.03381316553062336) q[8]; cx q[9], q[8]; cx q[8], q[7]; rz(0.21047495971384053) q[7]; cx q[8], q[7]; rz(-0.1718021424134732) q[9]; rx(1.7887423308737427) q[7]; rz(1.0219544659026027) q[7]; cx q[7], q[6]; rz(-0.022517727784131046) q[6]; cx q[7], q[6]; cx q[6], q[5]; rz(-0.016255836466976776) q[5]; cx q[6], q[5]; rz(0.1134321201719708) q[7]; rx(-0.12646593820262625) q[8]; rz(0.14894725723865676) q[8]; rx(0.30204129291777987) q[10]; rz(-0.09760830101544338) q[10]; rx(1.4433389758055781) q[11]; rz(0.20174043389624377) q[11]; cx q[11], q[10]; rz(-0.15342834966291213) q[10]; cx q[11], q[10]; cx q[10], q[9]; rz(0.1718021424134732) q[9]; cx q[10], q[9]; rx(-0.5580713031098803) q[10]; rz(-0.3807965839253278) q[10]; rx(1.8896363967677856) q[11]; rz(-0.041021087017945296) q[11]; cx q[11], q[10]; rz(0.16658621998454043) q[10]; cx q[11], q[10]; rx(-0.053345877227336864) q[9]; rz(-0.07813215444170246) q[9]; cx q[9], q[8]; rz(-0.1813234099078841) q[8]; cx q[9], q[8]; cx q[8], q[7]; rz(0.1813234099078841) q[9]; cx q[10], q[9]; rz(-0.1813234099078841) q[9]; cx q[10], q[9]; rz(-0.1134321201719708) q[7]; cx q[8], q[7];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x7; input float[64] x8; input float[64] x9; bit[12] c; qubit[12] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; rx(x16) q[8]; rz(x17) q[8]; rx(x18) q[9]; rz(x19) q[9]; rx(x20) q[10]; rz(x21) q[10]; rx(x22) q[11]; rz(x23) q[11]; crz(x24) q[1], q[0]; crz(x25) q[3], q[2]; crz(x26) q[5], q[4]; crz(x27) q[7], q[6]; crz(x28) q[9], q[8]; crz(x29) q[11], q[10]; crz(x30) q[2], q[1]; crz(x31) q[4], q[3]; crz(x32) q[6], q[5]; crz(x33) q[8], q[7]; crz(x34) q[10], q[9]; rx(x35) q[0]; rz(x36) q[0]; rx(x37) q[1]; rz(x38) q[1]; rx(x39) q[2]; rz(x40) q[2]; rx(x41) q[3]; rz(x42) q[3]; rx(x43) q[4]; rz(x44) q[4]; rx(x45) q[5]; rz(x46) q[5]; rx(x12) q[6]; rz(x47) q[6]; rx(x48) q[7]; rz(x49) q[7]; rx(x50) q[8]; rz(x51) q[8]; rx(x52) q[9]; rz(x53) q[9]; rx(x54) q[10]; rz(x55) q[10]; rx(x56) q[11]; rz(x57) q[11]; crz(x58) q[1], q[0]; crz(x59) q[3], q[2]; crz(x60) q[5], q[4]; crz(x59) q[7], q[6]; crz(x61) q[9], q[8]; crz(x62) q[11], q[10]; crz(x63) q[2], q[1]; crz(x64) q[4], q[3]; crz(x65) q[6], q[5]; crz(x66) q[8], q[7]; crz(x61) q[10], q[9]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11];
{"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"}
{"circuits": [], "gradients": []}
[ "IIIIIIIIZIZI", "IIIIIIIIZZII", "IIIIIIIIIZZI", "IIIIIIIZIIIZ", "IIIIIIZZIIII", "IIIIZIIZIIII", "IIIIZIIIIIIZ", "IIIIZZIIIIII", "IIIZIIIIIIZI", "IZIIIIIIIZII", "ZIIIIIZIIIII", "ZZIIIIIIIIII", "IIIIIIIIZIII", "IIIIIIIIIIZI", "IIIIIIIIIZII", "IIIIIIIZIIII", "IIIIIIIIIIIZ", "IIIIIIZIIIII", "IIIIZIIIIIII", "IIIIIZIIIIII", "IIIZIIIIIIII", "IZIIIIIIIIII", "ZIIIIIIIIIII", "IIZIIIIIIIII" ]
[ 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 17.5, 17, 15, 1, 3.5, 17.5, -7.5, -5.5, 3, 9.5, -14.5 ]
0.970081
[ 0.38080245237496735, 0.05009263820391778, 1.181041379555914, 0.14430224124918034, 1.9308877648993459, -0.11852614931728009, -0.1920930027405437, 0.1146910644878712, 1.6362987414456447, -0.1851733409544238, -0.5970393911872476, -0.061882449062761996, 0.04365754900695417, -0.017453256873435685, 1.237828755301249, 0.07700096196351436, 0.20768485823603097, 0.8647126432621637, 0.04028251518351418, 0.044073384348681875, 0.3020412929177798, -0.2510366506783554, 1.4433389758055781, 0.20174043389624377, -0.045010809330168655, 0.15092502216603032, 0.6001064350022762, -0.24125453956901385, -0.06762633106124671, 0.30685669932582427, 0.029974986643356794, -0.22485196827371673, -0.4801435274236274, -0.42094991942768106, -0.3436042848269464, -0.2047286823214673, 0.1969742780483228, 1.7058516259821421, 0.5961010322154183, 1.1630140995692537, -0.17914320784287907, 0.4392266606642982, 0.7555774322569643, 1.719484815505826, 0.44361601193735467, 0.5170041404318715, -0.1875472856697558, -0.13025761445440043, 1.7887423308737427, 1.0219544659026027, -0.1264659382026263, -0.03237615266922669, -0.053345877227336864, -0.07813215444170246, -0.5580713031098803, -0.21421036394078768, 1.8896363967677856, -0.041021087017945296, 0.10537410930741281, 0.04503545556826209, -0.1552869923540833, 0.3626468198157682, -0.33317243996908086, 0.5246033502143511, -0.013810805959346965, 0.03251167293395355, 0.2268642403439416 ]
{ "n_parameters": 67, "n_qubits": 12, "optimal_eigenvalue": -157.5, "target_ratio": 0.97, "target_value": -152.775 }
27
a20be77afa1a8b9b75f27972fb6e9517
min_cut
vqe
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 7, "source": 1, "target": 6}, {"capacity": 5, "source": 1, "target": 7}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 7, "source": 2, "target": 3}, {"capacity": 7, "source": 3, "target": 2}, {"capacity": 1, "source": 3, "target": 6}, {"capacity": 2, "source": 4, "target": 1}, {"capacity": 3, "source": 4, "target": 2}, {"capacity": 2, "source": 5, "target": 1}, {"capacity": 1, "source": 5, "target": 2}, {"capacity": 4, "source": 6, "target": 7}]}
{"states": [73, 75], "expectation_value": -16.656036797726205, "params": [-0.0088, 0.9593, 0.7847000000000001, 0.0068000000000000005, 0.0037, 0.8875000000000001, 0.0024000000000000002, 0.9078, 0.7891, 0.1826, -0.0008, 0.6888000000000001, 0.5307000000000001, 0.47140000000000004, 0.7928000000000001, 0.0074, 0.0048000000000000004, 1.1421000000000001, 0.7871, 0.0094, 0.003, 1.1414, 0.0032, 0.4375, 0.7878000000000001, 0.2546, 0.0031000000000000003, 1.1124, 0.5259, 1.209, 0.8019000000000001, 0.008700000000000001, 0.0046, 0.9564, 0.7924, 0.007200000000000001, 0.0024000000000000002, 1.1205, -0.0034000000000000002, 0.8104, 0.7906000000000001, 0.28450000000000003, 0.004200000000000001, 1.1203, -0.5256000000000001, 0.5519000000000001, 0.7783, 0.0029000000000000002, -0.008, 0.0083, 0.7832, 0.008700000000000001, 0.0039000000000000003, 0.0092, -0.0025, 0.005200000000000001, 0.7862, 0.0054, 0.002, 0.0067, -0.519, 0.008400000000000001, 0.7773, 0.0095, -0.0005, -0.8812000000000001, -0.9051, 0.3632, -0.6584, -0.46790000000000004, -0.0999, 0.0137, -0.5656, -0.4354, 0.5033, -0.5984, -1.2036, 0.2366, 0.018500000000000003, -0.3911, -0.7986000000000001, 0.5549000000000001, 0.1039, -0.5353, -0.19210000000000002, 0.0068000000000000005, 0.0019, 0.0076, 0.0098, 0.0015, 0.0016, 0.0011], "bitstrings": ["10110110", "10110100"], "total_optimization_steps": 180, "probabilities": [0.33865878751721923, 0.6608482356456344], "optimization_time": 49.32745385169983}
-1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(5) @ Z(0)) + -0.25 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(0)) + 3.5 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(1) @ Z(5)) + -1.75 * (Z(1) @ Z(6)) + -1.25 * (Z(1) @ Z(7)) + -3.5 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * Z(3) + -0.25 * Z(0) + -0.75 * Z(5) + -1.5 * Z(6) + 1.25 * Z(7) + 1.5 * Z(1) + -0.5 * Z(2) + 1.25 * Z(4)
3
8
4
{"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["10110100"], "largest_eigenvalue": 17.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[8] q; rx(-0.05785398922763691) q[0]; rz(0.9342280145004445) q[0]; rx(0.7626187134539208) q[1]; rz(-0.24053467267746909) q[1]; rx(-0.10035809769432782) q[2]; rz(0.6211498284047625) q[2]; rx(0.04463559473375353) q[3]; rz(0.8788715835127476) q[3]; rx(0.8867672592479486) q[4]; rz(0.04616678697555665) q[4]; rx(-0.10644275659624078) q[5]; rz(0.29857599970126714) q[5]; rx(0.8686606758937726) q[6]; rz(0.5529302199249209) q[6]; rx(0.6145142842861332) q[7]; rz(-0.16072852094851392) q[7]; cx q[7], q[6]; rz(-0.015770925820192343) q[6]; cx q[7], q[6]; cx q[6], q[5]; rz(0.2937921219927128) q[5]; cx q[6], q[5]; cx q[5], q[4]; rz(0.14776571273129793) q[4]; cx q[5], q[4]; cx q[4], q[3]; rz(-0.23771570866772443) q[3]; cx q[4], q[3]; cx q[3], q[2]; rz(0.5053179533237298) q[2]; cx q[3], q[2]; cx q[2], q[1]; rz(0.31103964717175797) q[1]; cx q[2], q[1]; cx q[1], q[0]; rz(0.028458817801458067) q[0]; cx q[1], q[0]; rx(0.13166953254137606) q[0]; rz(1.055094385687271) q[0]; rx(0.6935005385440611) q[1]; rz(-0.3968884089555611) q[1]; rx(-0.04222836601280842) q[2]; rz(0.8363104445106941) q[2]; rx(-0.0460791138267474) q[3]; rz(0.834653181473346) q[3]; rx(0.7464562052559108) q[4]; rz(0.05121013394766871) q[4]; rx(0.02785580455228221) q[5]; rz(0.6051577096551664) q[5]; rx(0.4133453713434866) q[6]; rz(0.8011443572779133) q[6]; rx(1.2514305000391837) q[7]; rz(0.1460538090628612) q[7]; cx q[7], q[6]; rz(0.017165740134733598) q[6]; cx q[7], q[6]; cx q[6], q[5]; rz(0.5700783663644255) q[5]; cx q[6], q[5]; cx q[5], q[4]; rz(0.316887853289003) q[4]; cx q[5], q[4]; cx q[4], q[3]; rz(-0.4272172760455693) q[3]; cx q[4], q[3]; cx q[3], q[2]; rz(0.21121723262391107) q[2]; cx q[3], q[2]; cx q[2], q[1]; rz(0.3759971732769708) q[1]; cx q[2], q[1]; cx q[1], q[0]; rz(0.06854800241034598) q[0]; cx q[1], q[0]; rx(-0.18031009271400986) q[0]; rz(0.8051621864011427) q[0]; rx(0.948689291057874) q[1]; rz(-0.3324841301872885) q[1]; rx(0.04463559473375353) q[2]; rz(0.7643035826818831) q[2]; rx(0.11367335413642274) q[3]; rz(1.113475228941411) q[3]; rx(0.7593845286680087) q[4]; rz(0.11113122165319522) q[4]; rx(-0.06327494714225955) q[5]; rz(0.6983055980122881) q[5]; rx(-0.7596988739005668) q[6]; rz(0.31520605150496905) q[6]; rx(0.9292173321213739) q[7]; rz(-0.04809278210634444) q[7]; cx q[7], q[6]; rz(0.08854332575205912) q[6]; cx q[7], q[6]; cx q[6], q[5]; rz(0.2984388124173438) q[5]; cx q[6], q[5]; cx q[5], q[4]; rz(0.011067355548564993) q[4]; cx q[5], q[4]; cx q[4], q[3]; rz(-0.09698450345228372) q[3]; cx q[4], q[3]; cx q[3], q[2]; rz(0.46502364322397055) q[2]; cx q[3], q[2]; cx q[2], q[1]; rz(0.19204285722790918) q[1]; cx q[2], q[1]; cx q[1], q[0]; rz(0.09519645670917498) q[0]; cx q[1], q[0]; rx(0.10221011661642557) q[0]; rz(-0.025920702118821026) q[0]; rx(0.8034717738332567) q[1]; rz(0.30097951417098834) q[1]; rx(-0.11251657383725566) q[2]; rz(-0.055920915686352046) q[2]; rx(-0.0035271848984552625) q[3]; rz(0.11138624366258831) q[3]; rx(0.6989273188578532) q[4]; rz(-0.15952980096927893) q[4]; rx(-0.20428790240474076) q[5]; rz(0.21303255777935526) q[5]; rx(-0.6939757743711258) q[6]; rz(-0.06192025225366571) q[6]; rx(0.4578613136401727) q[7]; rz(0.15740688867813427) q[7]; cx q[7], q[6]; rz(0.028094987262565034) q[6]; cx q[7], q[6]; cx q[6], q[5]; rz(-0.13351041604221164) q[5]; cx q[6], q[5]; cx q[5], q[4]; rz(0.036763393516203995) q[4]; cx q[5], q[4]; cx q[4], q[3]; rz(-0.10035237827610345) q[3]; cx q[4], q[3]; cx q[3], q[2]; rz(0.0929772116137427) q[2]; cx q[3], q[2]; cx q[2], q[1]; rz(-0.15492570510812725) q[1]; cx q[2], q[1]; cx q[1], q[0]; rz(-0.03525248724714451) q[0]; cx q[1], q[0];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x67; input float[64] x68; input float[64] x69; input float[64] x7; input float[64] x70; input float[64] x71; input float[64] x72; input float[64] x73; input float[64] x74; input float[64] x75; input float[64] x76; input float[64] x77; input float[64] x78; input float[64] x79; input float[64] x8; input float[64] x80; input float[64] x81; input float[64] x82; input float[64] x83; input float[64] x84; input float[64] x85; input float[64] x86; input float[64] x87; input float[64] x88; input float[64] x9; bit[8] c; qubit[8] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; crz(x16) q[7], q[6]; crz(x17) q[6], q[5]; crz(x18) q[5], q[4]; crz(x19) q[4], q[3]; crz(x20) q[3], q[2]; crz(x21) q[2], q[1]; crz(x22) q[1], q[0]; rx(x23) q[0]; rz(x24) q[0]; rx(x25) q[1]; rz(x26) q[1]; rx(x27) q[2]; rz(x28) q[2]; rx(x29) q[3]; rz(x30) q[3]; rx(x31) q[4]; rz(x32) q[4]; rx(x33) q[5]; rz(x34) q[5]; rx(x35) q[6]; rz(x36) q[6]; rx(x37) q[7]; rz(x38) q[7]; crz(x39) q[7], q[6]; crz(x40) q[6], q[5]; crz(x41) q[5], q[4]; crz(x42) q[4], q[3]; crz(x43) q[3], q[2]; crz(x44) q[2], q[1]; crz(x45) q[1], q[0]; rx(x46) q[0]; rz(x47) q[0]; rx(x48) q[1]; rz(x49) q[1]; rx(x6) q[2]; rz(x50) q[2]; rx(x51) q[3]; rz(x52) q[3]; rx(x53) q[4]; rz(x54) q[4]; rx(x55) q[5]; rz(x56) q[5]; rx(x57) q[6]; rz(x58) q[6]; rx(x59) q[7]; rz(x60) q[7]; crz(x61) q[7], q[6]; crz(x62) q[6], q[5]; crz(x63) q[5], q[4]; crz(x64) q[4], q[3]; crz(x65) q[3], q[2]; crz(x66) q[2], q[1]; crz(x67) q[1], q[0]; rx(x68) q[0]; rz(x69) q[0]; rx(x70) q[1]; rz(x38) q[1]; rx(x71) q[2]; rz(x72) q[2]; rx(x73) q[3]; rz(x74) q[3]; rx(x75) q[4]; rz(x76) q[4]; rx(x77) q[5]; rz(x78) q[5]; rx(x79) q[6]; rz(x80) q[6]; rx(x81) q[7]; rz(x82) q[7]; crz(x83) q[7], q[6]; crz(x84) q[6], q[5]; crz(x85) q[5], q[4]; crz(x86) q[4], q[3]; crz(x87) q[3], q[2]; crz(x88) q[2], q[1]; crz(x3) q[1], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
{"source": 0, "sink": 7}
{"circuits": [], "gradients": []}
[ "IIIIZIIZ", "IIZIIIIZ", "IZIIZIII", "IZIIIIIZ", "ZIIIIIIZ", "ZZIIIIII", "IIZIIIZI", "IZIIIIZI", "ZIIIIIZI", "IIIIZZII", "IIZIIZII", "IIIIIZZI", "IIIZIIZI", "IIIZIZII", "IIIIZIII", "IIIIIIIZ", "IIZIIIII", "IZIIIIII", "ZIIIIIII", "IIIIIIZI", "IIIIIZII", "IIIZIIII" ]
[ -1.25, -1.5, -0.25, -0.5, 3.5, -1, -0.5, -1.75, -1.25, -3.5, -0.25, -0.5, -0.5, -0.75, -1, -0.25, -0.75, -1.5, 1.25, 1.5, -0.5, 1.25 ]
0.978259
[ -0.05785398922763691, 0.9626868323019014, 0.7626187134539207, 0.07050497449428902, -0.10035809769432782, 1.126467781728492, 0.044635594733753524, 0.6411558748450237, 0.8867672592479487, 0.1939324997068545, -0.10644275659624078, 0.5923681216939789, 0.8686606758937725, 0.5371592941047285, 0.6145142842861332, -0.16072852094851392, 0.031541851640384685, -0.5875842439854256, -0.29553142546259586, 0.47543141733544886, -1.0106359066474595, -0.6220792943435159, -0.056917635602916135, 0.13166953254137603, 1.1236423880976163, 0.6935005385440612, -0.020891235678590303, -0.042228366012808424, 1.0475276771346054, -0.04607911382674739, 0.4074359054277764, 0.7464562052559109, 0.36809798723667175, 0.02785580455228221, 1.1752360760195921, 0.4133453713434866, 0.8183100974126472, 1.2514305000391837, 0.1460538090628612, -0.034331480269467196, -1.140156732728851, -0.633775706578006, 0.8544345520911386, -0.42243446524782213, -0.7519943465539416, -0.13709600482069195, -0.18031009271400988, 0.9003586431103174, 0.948689291057874, -0.14044127295937947, 1.2293272259058536, 0.11367335413642272, 1.0164907254891278, 0.7593845286680088, 0.1221985772017604, -0.06327494714225954, 0.996744410429632, -0.7596988739005668, 0.403749377257028, 0.9292173321213739, -0.04809278210634444, -0.17708665150411823, -0.5968776248346876, -0.022134711097129986, 0.19396900690456745, -0.9300472864479411, -0.38408571445581835, -0.19039291341834996, 0.1022101166164256, -0.06117318936596566, 0.8034717738332569, -0.11251657383725565, 0.03705629592739097, -0.0035271848984552625, 0.011033865386485181, 0.6989273188578532, -0.12276640745307502, -0.20428790240474076, 0.07952214173714411, -0.6939757743711259, -0.033825264991100834, 0.4578613136401727, 0.15740688867813427, -0.05618997452513007, 0.2670208320844233, -0.07352678703240799, 0.2007047565522069, -0.1859544232274854, 0.3098514102162545 ]
{ "n_parameters": 89, "n_qubits": 8, "optimal_eigenvalue": -17, "target_ratio": 0.97, "target_value": -16.49 }
13
712b030d217f3cf9b2b341027ce3b496
matching
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 14, "source": 1, "target": 6}, {"weight": 3, "source": 2, "target": 3}, {"weight": 14, "source": 2, "target": 4}, {"weight": 16, "source": 3, "target": 6}, {"weight": 1, "source": 4, "target": 5}, {"weight": 11, "source": 5, "target": 7}, {"weight": 10, "source": 6, "target": 7}]}
{"states": [219, 218], "expectation_value": -71.03949686819102, "params": [0.06380000000000001, -0.201, 0.07400000000000001, -0.2102, 0.44370000000000004, -0.0068000000000000005, 0.4751, -0.0068000000000000005, 0.4242, -0.014100000000000001, 0.4635, -0.0102, -0.0019, 0.2015, -0.0071, 0.2051, 0.45330000000000004, -0.029300000000000003, 0.4736, -0.014, 0.4505, -0.037000000000000005, 0.4617, -0.0247, 0.027800000000000002, 0.222, 0.0017000000000000001, 0.221, 0.4375, -0.054, 0.4454, -0.0176, 0.1666, 0.17250000000000001, 0.1565, 0.1693, 0.0671, -0.2028, 0.06720000000000001, -0.2104, 0.47650000000000003, 0.0007, 0.4358, -0.005200000000000001, 0.4685, 0.0013000000000000002, 0.43870000000000003, -0.0026000000000000003, -0.0123, 0.20750000000000002, -0.016900000000000002, 0.2053, 0.4762, -0.0006000000000000001, 0.4217, -0.0022, 0.46340000000000003, -0.015600000000000001, 0.4338, -0.0056, 0.004, 0.2235, -0.0086, 0.2215, 0.4465, 0.0018000000000000002, 0.42660000000000003, -0.006, 0.163, 0.17170000000000002, 0.1529, 0.17650000000000002, 0.06570000000000001, -0.2054, 0.0718, -0.2184, 0.4324, 0.0013000000000000002, 0.301, -0.0028, 0.4385, 0.0051, 0.30670000000000003, -0.0005, -0.0105, 0.2061, -0.008, 0.19010000000000002, 0.42410000000000003, 0.0056, 0.3125, -0.0054, 0.4393, -0.0025, 0.2993, -0.0188, -0.005, 0.2217, -0.0184, 0.2114, 0.4219, -0.0118, 0.3416, -0.0287, 0.15230000000000002, 0.1839, 0.1584, 0.1806, 0.078, -0.2257, 0.2679, 0.0076, 0.2949, 0.0037, 0.2938, 0.003, 0.308, 0.0041, 0.2993, 0.006500000000000001, -0.013000000000000001, 0.1731, 0.0236, 0.0001, 0.3062, -0.0091, 0.29810000000000003, 0.0089, 0.301, -0.027700000000000002, 0.2968, 0.0051, -0.0313, 0.1917, 0.0258, 0.0099, 0.33840000000000003, -0.0688, 0.29710000000000003, 0.0088, 0.15330000000000002, 0.2147, 0.3166, 0.0014, -0.17070000000000002, -0.1228, -0.1396, -0.0034000000000000002, -0.10650000000000001, -0.1567, -0.0129, -0.1278, 0.0449, -0.19210000000000002, 0.028200000000000003, -0.0002, 0.1047, -0.007200000000000001, -0.0235, 0.0834, -0.035, 0.1784, -0.2087, 0.004, 0.0178, 0.15560000000000002, 0.038700000000000005, 0.0443, 0.12340000000000001, 0.0458, 0.2124, -0.2384, 0.0201, 0.0211, 0.17700000000000002, 0.0292, 0.0328, 0.12090000000000001, 0.051800000000000006, 0.2174], "bitstrings": ["100100100", "100100101"], "total_optimization_steps": 50, "probabilities": [0.027526920317024414, 0.9497879555689914], "optimization_time": 223.4631688594818}
5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 10.5 * Z(1) + 4.0 * Z(0) + 12.0 * Z(2) + 7.0 * Z(4) + 1.5 * Z(3) + 13.0 * Z(5) + 0.5 * Z(6) + 10.5 * Z(7) + 15.0 * Z(8)
5
9
4
{"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 134.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[9] q; rx(-0.11626367191495617) q[0]; rz(-0.2106040854003126) q[0]; rx(0.9478855789126086) q[1]; rz(-0.06828684283665343) q[1]; rx(-0.20148789490429764) q[2]; rz(0.24190586838730788) q[2]; rx(-0.10600745945522326) q[3]; rz(0.24682421348931705) q[3]; rx(0.7705790951013602) q[4]; rz(-0.4765824274013313) q[4]; rx(0.5459902919862265) q[5]; rz(-0.18712512327323427) q[5]; rx(-0.27051526918250374) q[6]; rz(-0.4224973586894194) q[6]; rx(0.6156963380595899) q[7]; rz(-0.23603861086598732) q[7]; rx(-0.2994242846286579) q[8]; rz(-0.0001544573746848632) q[8]; cx q[8], q[7]; rz(0.0443384380119502) q[7]; cx q[8], q[7]; cx q[8], q[6]; rz(0.2195710704784273) q[6]; cx q[8], q[6]; cx q[8], q[5]; rz(-0.007505836948887278) q[5]; cx q[8], q[5]; cx q[8], q[4]; rz(0.10691792939285986) q[4]; cx q[8], q[4]; cx q[8], q[3]; rz(-0.006473269431315928) q[3]; cx q[8], q[3]; cx q[8], q[2]; rz(-0.07991901429278582) q[2]; cx q[8], q[2]; cx q[8], q[1]; rz(-0.03576990127252805) q[1]; cx q[8], q[1]; cx q[8], q[0]; rz(0.17886656280084812) q[0]; cx q[8], q[0]; rz(-0.09186801160553573) q[8]; cx q[7], q[8]; rz(0.09186801160553573) q[8]; cx q[7], q[8]; rz(-0.2195710704784273) q[6]; cx q[7], q[6]; rz(0.2195710704784273) q[6]; cx q[7], q[6]; rz(-0.09186801160553573) q[8]; cx q[6], q[8]; rz(0.09186801160553573) q[8]; cx q[6], q[8]; rz(0.007505836948887278) q[5]; cx q[7], q[5]; rz(-0.007505836948887278) q[5]; cx q[7], q[5]; rz(-0.10691792939285986) q[4]; cx q[7], q[4]; rz(0.10691792939285986) q[4]; cx q[7], q[4]; rz(0.006473269431315928) q[3]; cx q[7], q[3]; rz(-0.006473269431315928) q[3]; cx q[7], q[3]; rz(0.07991901429278582) q[2]; cx q[7], q[2]; rz(-0.07991901429278582) q[2]; cx q[7], q[2]; rz(0.03576990127252805) q[1]; cx q[7], q[1]; rz(-0.03576990127252805) q[1]; cx q[7], q[1]; rz(-0.17886656280084812) q[0]; cx q[7], q[0]; rz(0.17886656280084812) q[0]; cx q[7], q[0]; rz(-0.0443384380119502) q[7]; cx q[6], q[7]; rz(0.0443384380119502) q[7]; cx q[6], q[7]; rz(0.007505836948887278) q[5]; cx q[6], q[5]; rz(-0.007505836948887278) q[5]; cx q[6], q[5]; rz(-0.09186801160553573) q[8]; cx q[5], q[8]; rz(0.09186801160553573) q[8]; cx q[5], q[8]; rz(-0.0443384380119502) q[7]; cx q[5], q[7]; rz(0.0443384380119502) q[7]; cx q[5], q[7]; rz(-0.10691792939285986) q[4]; cx q[6], q[4]; rz(0.10691792939285986) q[4]; cx q[6], q[4]; rz(0.006473269431315928) q[3]; cx q[6], q[3]; rz(-0.006473269431315928) q[3]; cx q[6], q[3]; rz(0.07991901429278582) q[2]; cx q[6], q[2]; rz(-0.07991901429278582) q[2]; cx q[6], q[2]; rz(0.03576990127252805) q[1]; cx q[6], q[1]; rz(-0.03576990127252805) q[1]; cx q[6], q[1]; rz(-0.17886656280084812) q[0]; cx q[6], q[0]; rz(0.17886656280084812) q[0]; cx q[6], q[0]; rz(-0.2195710704784273) q[6]; cx q[5], q[6]; rz(0.2195710704784273) q[6]; cx q[5], q[6]; rz(-0.10691792939285986) q[4]; cx q[5], q[4]; rz(0.10691792939285986) q[4]; cx q[5], q[4]; rz(-0.09186801160553573) q[8]; cx q[4], q[8]; rz(0.09186801160553573) q[8]; cx q[4], q[8]; rz(-0.0443384380119502) q[7]; cx q[4], q[7]; rz(0.0443384380119502) q[7]; cx q[4], q[7]; rz(-0.2195710704784273) q[6]; cx q[4], q[6]; rz(0.2195710704784273) q[6]; cx q[4], q[6]; rz(0.006473269431315928) q[3]; cx q[5], q[3]; rz(-0.006473269431315928) q[3]; cx q[5], q[3]; rz(0.07991901429278582) q[2]; cx q[5], q[2]; rz(-0.07991901429278582) q[2]; cx q[5], q[2]; rz(0.03576990127252805) q[1]; cx q[5], q[1]; rz(-0.03576990127252805) q[1]; cx q[5], q[1]; rz(-0.17886656280084812) q[0]; cx q[5], q[0]; rz(0.17886656280084812) q[0]; cx q[5], q[0]; rz(0.007505836948887278) q[5]; cx q[4], q[5]; rz(-0.007505836948887278) q[5]; cx q[4], q[5]; rz(0.006473269431315928) q[3]; cx q[4], q[3]; rz(-0.006473269431315928) q[3]; cx q[4], q[3]; rz(-0.09186801160553573) q[8]; cx q[3], q[8]; rz(0.09186801160553573) q[8]; cx q[3], q[8]; rz(-0.0443384380119502) q[7]; cx q[3], q[7]; rz(0.0443384380119502) q[7]; cx q[3], q[7]; rz(-0.2195710704784273) q[6]; cx q[3], q[6]; rz(0.2195710704784273) q[6]; cx q[3], q[6]; rz(0.007505836948887278) q[5]; cx q[3], q[5]; rz(-0.007505836948887278) q[5]; cx q[3], q[5]; rz(0.07991901429278582) q[2]; cx q[4], q[2]; rz(-0.07991901429278582) q[2]; cx q[4], q[2]; rz(0.03576990127252805) q[1]; cx q[4], q[1]; rz(-0.03576990127252805) q[1]; cx q[4], q[1]; rz(-0.17886656280084812) q[0]; cx q[4], q[0]; rz(0.17886656280084812) q[0]; cx q[4], q[0]; rz(-0.10691792939285986) q[4]; cx q[3], q[4]; rz(0.10691792939285986) q[4]; cx q[3], q[4]; rz(0.07991901429278582) q[2]; cx q[3], q[2]; rz(-0.07991901429278582) q[2]; cx q[3], q[2]; rz(-0.09186801160553573) q[8]; cx q[2], q[8]; rz(0.09186801160553573) q[8]; cx q[2], q[8]; rz(-0.0443384380119502) q[7]; cx q[2], q[7]; rz(0.0443384380119502) q[7]; cx q[2], q[7]; rz(-0.2195710704784273) q[6]; cx q[2], q[6]; rz(0.2195710704784273) q[6]; cx q[2], q[6]; rz(0.007505836948887278) q[5]; cx q[2], q[5]; rz(-0.007505836948887278) q[5]; cx q[2], q[5]; rz(-0.10691792939285986) q[4]; cx q[2], q[4]; rz(0.10691792939285986) q[4]; cx q[2], q[4]; rz(0.03576990127252805) q[1]; cx q[3], q[1]; rz(-0.03576990127252805) q[1]; cx q[3], q[1]; rz(-0.17886656280084812) q[0]; cx q[3], q[0]; rz(0.17886656280084812) q[0]; cx q[3], q[0]; rz(0.006473269431315928) q[3]; cx q[2], q[3]; rz(-0.006473269431315928) q[3]; cx q[2], q[3]; rz(0.03576990127252805) q[1]; cx q[2], q[1]; rz(-0.03576990127252805) q[1]; cx q[2], q[1]; rz(-0.09186801160553573) q[8]; cx q[1], q[8]; rz(0.09186801160553573) q[8]; cx q[1], q[8]; rz(-0.0443384380119502) q[7]; cx q[1], q[7]; rz(0.0443384380119502) q[7]; cx q[1], q[7]; rz(-0.2195710704784273) q[6]; cx q[1], q[6]; rz(0.2195710704784273) q[6]; cx q[1], q[6]; rz(0.007505836948887278) q[5]; cx q[1], q[5]; rz(-0.007505836948887278) q[5]; cx q[1], q[5]; rz(-0.10691792939285986) q[4]; cx q[1], q[4]; rz(0.10691792939285986) q[4]; cx q[1], q[4]; rz(0.006473269431315928) q[3]; cx q[1], q[3]; rz(-0.006473269431315928) q[3]; cx q[1], q[3]; rz(-0.17886656280084812) q[0]; cx q[2], q[0]; rz(0.17886656280084812) q[0]; cx q[2], q[0]; rz(0.07991901429278582) q[2]; cx q[1], q[2]; rz(-0.07991901429278582) q[2]; cx q[1], q[2]; rz(-0.17886656280084812) q[0]; cx q[1], q[0]; rz(0.17886656280084812) q[0]; cx q[1], q[0]; rz(-0.09186801160553573) q[8]; cx q[0], q[8]; rz(0.09186801160553573) q[8]; cx q[0], q[8]; rz(-0.0443384380119502) q[7]; cx q[0], q[7]; rz(0.0443384380119502) q[7]; cx q[0], q[7]; rz(-0.2195710704784273) q[6]; cx q[0], q[6]; rz(0.2195710704784273) q[6]; cx q[0], q[6]; rz(0.007505836948887278) q[5]; cx q[0], q[5]; rz(-0.007505836948887278) q[5]; cx q[0], q[5]; rz(-0.10691792939285986) q[4]; cx q[0], q[4]; rz(0.10691792939285986) q[4]; cx q[0], q[4]; rz(0.006473269431315928) q[3]; cx q[0], q[3]; rz(-0.006473269431315928) q[3]; cx q[0], q[3]; rz(0.07991901429278582) q[2]; cx q[0], q[2]; rz(-0.07991901429278582) q[2]; cx q[0], q[2]; rz(0.03576990127252805) q[1]; cx q[0], q[1]; rz(-0.03576990127252805) q[1]; cx q[0], q[1]; rz(1.786780685263178) q[0]; ry(0.24755740972541818) q[0]; rz(-2.390214026041169) q[0]; rz(1.522260821596797) q[1]; ry(0.7908782202166778) q[1]; rz(-1.2920580610713608) q[1]; rz(1.6503778345547797) q[2]; ry(0.9944837086662683) q[2]; rz(-1.5532776430425415) q[2]; rz(1.5673240168038136) q[3]; ry(0.23465539231548938) q[3]; rz(-1.296978284595576) q[3]; rz(1.5847488707141748) q[4]; ry(1.034495979620109) q[4]; rz(-1.5126679293198253) q[4]; rz(1.2218440975187965) q[5]; ry(1.105027078754126) q[5]; rz(-1.3170214696832316) q[5]; rz(1.3515260607254422) q[6]; ry(0.12899292396084797) q[6]; rz(-1.3403114735300377) q[6]; rz(1.576738969716713) q[7]; ry(0.9982883979134818) q[7]; rz(-1.448231542928494) q[7]; rz(1.600155589438887) q[8]; ry(0.2542272525633896) q[8]; rz(-1.4171040766040057) q[8]; cx q[8], q[7]; rz(-0.004604986571598105) q[7]; cx q[8], q[7]; cx q[8], q[6]; rz(0.04467109889159439) q[6]; cx q[8], q[6]; cx q[8], q[5]; rz(-0.039875962218693495) q[5]; cx q[8], q[5]; cx q[8], q[4]; rz(-0.03790458599308915) q[4]; cx q[8], q[4]; cx q[8], q[3]; rz(-0.07458851263224756) q[3]; cx q[8], q[3]; cx q[8], q[2]; rz(-0.045172715488641574) q[2]; cx q[8], q[2]; cx q[8], q[1]; rz(0.02381822790047341) q[1]; cx q[8], q[1]; cx q[8], q[0]; rz(-0.0610014501679995) q[0]; cx q[8], q[0]; rz(0.049019153210769675) q[8]; cx q[7], q[8]; rz(-0.049019153210769675) q[8]; cx q[7], q[8]; rz(-0.04467109889159439) q[6]; cx q[7], q[6]; rz(0.04467109889159439) q[6]; cx q[7], q[6]; rz(0.049019153210769675) q[8]; cx q[6], q[8]; rz(-0.049019153210769675) q[8]; cx q[6], q[8]; rz(0.039875962218693495) q[5]; cx q[7], q[5]; rz(-0.039875962218693495) q[5]; cx q[7], q[5]; rz(0.03790458599308915) q[4]; cx q[7], q[4]; rz(-0.03790458599308915) q[4]; cx q[7], q[4]; rz(0.07458851263224756) q[3]; cx q[7], q[3]; rz(-0.07458851263224756) q[3]; cx q[7], q[3]; rz(0.045172715488641574) q[2]; cx q[7], q[2]; rz(-0.045172715488641574) q[2]; cx q[7], q[2]; rz(-0.02381822790047341) q[1]; cx q[7], q[1]; rz(0.02381822790047341) q[1]; cx q[7], q[1]; rz(0.0610014501679995) q[0]; cx q[7], q[0]; rz(-0.0610014501679995) q[0]; cx q[7], q[0]; rz(0.004604986571598105) q[7]; cx q[6], q[7]; rz(-0.004604986571598105) q[7]; cx q[6], q[7]; rz(0.039875962218693495) q[5]; cx q[6], q[5]; rz(-0.039875962218693495) q[5]; cx q[6], q[5]; rz(0.049019153210769675) q[8]; cx q[5], q[8]; rz(-0.049019153210769675) q[8]; cx q[5], q[8]; rz(0.004604986571598105) q[7]; cx q[5], q[7]; rz(-0.004604986571598105) q[7]; cx q[5], q[7]; rz(0.03790458599308915) q[4]; cx q[6], q[4]; rz(-0.03790458599308915) q[4]; cx q[6], q[4]; rz(0.07458851263224756) q[3]; cx q[6], q[3]; rz(-0.07458851263224756) q[3]; cx q[6], q[3]; rz(0.045172715488641574) q[2]; cx q[6], q[2]; rz(-0.045172715488641574) q[2]; cx q[6], q[2]; rz(-0.02381822790047341) q[1]; cx q[6], q[1]; rz(0.02381822790047341) q[1]; cx q[6], q[1]; rz(0.0610014501679995) q[0]; cx q[6], q[0]; rz(-0.0610014501679995) q[0]; cx q[6], q[0]; rz(-0.04467109889159439) q[6]; cx q[5], q[6]; rz(0.04467109889159439) q[6]; cx q[5], q[6]; rz(0.03790458599308915) q[4]; cx q[5], q[4]; rz(-0.03790458599308915) q[4]; cx q[5], q[4]; rz(0.049019153210769675) q[8]; cx q[4], q[8]; rz(-0.049019153210769675) q[8]; cx q[4], q[8]; rz(0.004604986571598105) q[7]; cx q[4], q[7]; rz(-0.004604986571598105) q[7]; cx q[4], q[7]; rz(-0.04467109889159439) q[6]; cx q[4], q[6]; rz(0.04467109889159439) q[6]; cx q[4], q[6]; rz(0.07458851263224756) q[3]; cx q[5], q[3]; rz(-0.07458851263224756) q[3]; cx q[5], q[3]; rz(0.045172715488641574) q[2]; cx q[5], q[2]; rz(-0.045172715488641574) q[2]; cx q[5], q[2]; rz(-0.02381822790047341) q[1]; cx q[5], q[1]; rz(0.02381822790047341) q[1]; cx q[5], q[1]; rz(0.0610014501679995) q[0]; cx q[5], q[0]; rz(-0.0610014501679995) q[0]; cx q[5], q[0]; rz(0.039875962218693495) q[5]; cx q[4], q[5]; rz(-0.039875962218693495) q[5]; cx q[4], q[5]; rz(0.07458851263224756) q[3]; cx q[4], q[3]; rz(-0.07458851263224756) q[3]; cx q[4], q[3]; rz(0.049019153210769675) q[8]; cx q[3], q[8]; rz(-0.049019153210769675) q[8]; cx q[3], q[8]; rz(0.004604986571598105) q[7]; cx q[3], q[7]; rz(-0.004604986571598105) q[7]; cx q[3], q[7]; rz(-0.04467109889159439) q[6]; cx q[3], q[6]; rz(0.04467109889159439) q[6]; cx q[3], q[6]; rz(0.039875962218693495) q[5]; cx q[3], q[5]; rz(-0.039875962218693495) q[5]; cx q[3], q[5]; rz(0.045172715488641574) q[2]; cx q[4], q[2]; rz(-0.045172715488641574) q[2]; cx q[4], q[2]; rz(-0.02381822790047341) q[1]; cx q[4], q[1]; rz(0.02381822790047341) q[1]; cx q[4], q[1]; rz(0.0610014501679995) q[0]; cx q[4], q[0]; rz(-0.0610014501679995) q[0]; cx q[4], q[0]; rz(0.03790458599308915) q[4]; cx q[3], q[4]; rz(-0.03790458599308915) q[4]; cx q[3], q[4]; rz(0.045172715488641574) q[2]; cx q[3], q[2]; rz(-0.045172715488641574) q[2]; cx q[3], q[2]; rz(0.049019153210769675) q[8]; cx q[2], q[8]; rz(-0.049019153210769675) q[8]; cx q[2], q[8]; rz(0.004604986571598105) q[7]; cx q[2], q[7]; rz(-0.004604986571598105) q[7]; cx q[2], q[7]; rz(-0.04467109889159439) q[6]; cx q[2], q[6]; rz(0.04467109889159439) q[6]; cx q[2], q[6]; rz(0.039875962218693495) q[5]; cx q[2], q[5]; rz(-0.039875962218693495) q[5]; cx q[2], q[5]; rz(0.03790458599308915) q[4]; cx q[2], q[4]; rz(-0.03790458599308915) q[4]; cx q[2], q[4]; rz(-0.02381822790047341) q[1]; cx q[3], q[1]; rz(0.02381822790047341) q[1]; cx q[3], q[1]; rz(0.0610014501679995) q[0]; cx q[3], q[0]; rz(-0.0610014501679995) q[0]; cx q[3], q[0]; rz(0.07458851263224756) q[3]; cx q[2], q[3]; rz(-0.07458851263224756) q[3]; cx q[2], q[3]; rz(-0.02381822790047341) q[1]; cx q[2], q[1]; rz(0.02381822790047341) q[1]; cx q[2], q[1]; rz(0.049019153210769675) q[8]; cx q[1], q[8]; rz(-0.049019153210769675) q[8]; cx q[1], q[8]; rz(0.004604986571598105) q[7]; cx q[1], q[7]; rz(-0.004604986571598105) q[7]; cx q[1], q[7]; rz(-0.04467109889159439) q[6]; cx q[1], q[6]; rz(0.04467109889159439) q[6]; cx q[1], q[6]; rz(0.039875962218693495) q[5]; cx q[1], q[5]; rz(-0.039875962218693495) q[5]; cx q[1], q[5]; rz(0.03790458599308915) q[4]; cx q[1], q[4]; rz(-0.03790458599308915) q[4]; cx q[1], q[4]; rz(0.07458851263224756) q[3]; cx q[1], q[3]; rz(-0.07458851263224756) q[3]; cx q[1], q[3]; rz(0.0610014501679995) q[0]; cx q[2], q[0]; rz(-0.0610014501679995) q[0]; cx q[2], q[0]; rz(0.045172715488641574) q[2]; cx q[1], q[2]; rz(-0.045172715488641574) q[2]; cx q[1], q[2]; rz(0.0610014501679995) q[0]; cx q[1], q[0]; rz(-0.0610014501679995) q[0]; cx q[1], q[0]; rz(0.049019153210769675) q[8]; cx q[0], q[8]; rz(-0.049019153210769675) q[8]; cx q[0], q[8]; rz(0.004604986571598105) q[7]; cx q[0], q[7]; rz(-0.004604986571598105) q[7]; cx q[0], q[7]; rz(-0.04467109889159439) q[6]; cx q[0], q[6]; rz(0.04467109889159439) q[6]; cx q[0], q[6]; rz(0.039875962218693495) q[5]; cx q[0], q[5]; rz(-0.039875962218693495) q[5]; cx q[0], q[5]; rz(0.03790458599308915) q[4]; cx q[0], q[4]; rz(-0.03790458599308915) q[4]; cx q[0], q[4]; rz(0.07458851263224756) q[3]; cx q[0], q[3]; rz(-0.07458851263224756) q[3]; cx q[0], q[3]; rz(0.045172715488641574) q[2]; cx q[0], q[2]; rz(-0.045172715488641574) q[2]; cx q[0], q[2]; rz(-0.02381822790047341) q[1]; cx q[0], q[1]; rz(0.02381822790047341) q[1]; cx q[0], q[1]; rz(1.4758032155280345) q[0]; ry(0.4822045289281828) q[0]; rz(-2.057974694470494) q[0]; rz(1.4431351544252466) q[1]; ry(1.429772343818119) q[1]; rz(-1.987198872135277) q[1]; rz(1.5935440944983839) q[2]; ry(1.1261317991323914) q[2]; rz(-1.3107128844322948) q[2]; rz(-1.5246762638277267) q[3]; ry(0.18403676697093366) q[3]; rz(1.882266397086406) q[3]; rz(1.5822367324514701) q[4]; ry(1.3626909418740913) q[4]; rz(-1.2335946242619515) q[4]; rz(1.6248200464883409) q[5]; ry(0.8865496372470658) q[5]; rz(-1.3952178547959353) q[5]; rz(-1.552166945367973) q[6]; ry(0.14567632759149496) q[6]; rz(1.813984446855235) q[6]; rz(1.6226030467169652) q[7]; ry(0.20778206273091906) q[7]; rz(-1.6534701912761909) q[7]; rz(-1.438109407001033) q[8]; ry(0.17712958319633898) q[8]; rz(1.515787965575698) q[8]; cx q[8], q[7]; rz(-0.05931795489741323) q[7]; cx q[8], q[7]; cx q[8], q[6]; rz(0.03912454762171895) q[6]; cx q[8], q[6]; cx q[8], q[5]; rz(0.04689704929183572) q[5]; cx q[8], q[5]; cx q[8], q[4]; rz(-0.06857233982967634) q[4]; cx q[8], q[4]; cx q[8], q[3]; rz(-0.048042168780118535) q[3]; cx q[8], q[3]; cx q[8], q[2]; rz(-0.026170549225772673) q[2]; cx q[8], q[2]; cx q[8], q[1]; rz(0.12809052602443632) q[1]; cx q[8], q[1]; cx q[8], q[0]; rz(0.17816466384389715) q[0]; cx q[8], q[0]; rz(0.24246534958798496) q[8]; cx q[7], q[8]; rz(-0.24246534958798496) q[8]; cx q[7], q[8]; rz(-0.03912454762171895) q[6]; cx q[7], q[6]; rz(0.03912454762171895) q[6]; cx q[7], q[6]; rz(0.24246534958798496) q[8]; cx q[6], q[8]; rz(-0.24246534958798496) q[8]; cx q[6], q[8]; rz(-0.04689704929183572) q[5]; cx q[7], q[5]; rz(0.04689704929183572) q[5]; cx q[7], q[5]; rz(0.06857233982967634) q[4]; cx q[7], q[4]; rz(-0.06857233982967634) q[4]; cx q[7], q[4]; rz(0.048042168780118535) q[3]; cx q[7], q[3]; rz(-0.048042168780118535) q[3]; cx q[7], q[3]; rz(0.026170549225772673) q[2]; cx q[7], q[2]; rz(-0.026170549225772673) q[2]; cx q[7], q[2]; rz(-0.12809052602443632) q[1]; cx q[7], q[1]; rz(0.12809052602443632) q[1]; cx q[7], q[1]; rz(-0.17816466384389715) q[0]; cx q[7], q[0]; rz(0.17816466384389715) q[0]; cx q[7], q[0]; rz(0.05931795489741323) q[7]; cx q[6], q[7]; rz(-0.05931795489741323) q[7]; cx q[6], q[7]; rz(-0.04689704929183572) q[5]; cx q[6], q[5]; rz(0.04689704929183572) q[5]; cx q[6], q[5]; rz(0.24246534958798496) q[8]; cx q[5], q[8]; rz(-0.24246534958798496) q[8]; cx q[5], q[8]; rz(0.05931795489741323) q[7]; cx q[5], q[7]; rz(-0.05931795489741323) q[7]; cx q[5], q[7]; rz(0.06857233982967634) q[4]; cx q[6], q[4]; rz(-0.06857233982967634) q[4]; cx q[6], q[4]; rz(0.048042168780118535) q[3]; cx q[6], q[3]; rz(-0.048042168780118535) q[3]; cx q[6], q[3]; rz(0.026170549225772673) q[2]; cx q[6], q[2]; rz(-0.026170549225772673) q[2]; cx q[6], q[2]; rz(-0.12809052602443632) q[1]; cx q[6], q[1]; rz(0.12809052602443632) q[1]; cx q[6], q[1]; rz(-0.17816466384389715) q[0]; cx q[6], q[0]; rz(0.17816466384389715) q[0]; cx q[6], q[0]; rz(-0.03912454762171895) q[6]; cx q[5], q[6]; rz(0.03912454762171895) q[6]; cx q[5], q[6]; rz(0.06857233982967634) q[4]; cx q[5], q[4]; rz(-0.06857233982967634) q[4]; cx q[5], q[4]; rz(0.24246534958798496) q[8]; cx q[4], q[8]; rz(-0.24246534958798496) q[8]; cx q[4], q[8]; rz(0.05931795489741323) q[7]; cx q[4], q[7]; rz(-0.05931795489741323) q[7]; cx q[4], q[7]; rz(-0.03912454762171895) q[6]; cx q[4], q[6]; rz(0.03912454762171895) q[6]; cx q[4], q[6]; rz(0.048042168780118535) q[3]; cx q[5], q[3]; rz(-0.048042168780118535) q[3]; cx q[5], q[3]; rz(0.026170549225772673) q[2]; cx q[5], q[2]; rz(-0.026170549225772673) q[2]; cx q[5], q[2]; rz(-0.12809052602443632) q[1]; cx q[5], q[1]; rz(0.12809052602443632) q[1]; cx q[5], q[1]; rz(-0.17816466384389715) q[0]; cx q[5], q[0]; rz(0.17816466384389715) q[0]; cx q[5], q[0]; rz(-0.04689704929183572) q[5]; cx q[4], q[5]; rz(0.04689704929183572) q[5]; cx q[4], q[5]; rz(0.048042168780118535) q[3]; cx q[4], q[3]; rz(-0.048042168780118535) q[3]; cx q[4], q[3]; rz(0.24246534958798496) q[8]; cx q[3], q[8]; rz(-0.24246534958798496) q[8]; cx q[3], q[8]; rz(0.05931795489741323) q[7]; cx q[3], q[7]; rz(-0.05931795489741323) q[7]; cx q[3], q[7]; rz(-0.03912454762171895) q[6]; cx q[3], q[6]; rz(0.03912454762171895) q[6]; cx q[3], q[6]; rz(-0.04689704929183572) q[5]; cx q[3], q[5]; rz(0.04689704929183572) q[5]; cx q[3], q[5]; rz(0.026170549225772673) q[2]; cx q[4], q[2]; rz(-0.026170549225772673) q[2]; cx q[4], q[2]; rz(-0.12809052602443632) q[1]; cx q[4], q[1]; rz(0.12809052602443632) q[1]; cx q[4], q[1]; rz(-0.17816466384389715) q[0]; cx q[4], q[0]; rz(0.17816466384389715) q[0]; cx q[4], q[0]; rz(0.06857233982967634) q[4]; cx q[3], q[4]; rz(-0.06857233982967634) q[4]; cx q[3], q[4]; rz(0.026170549225772673) q[2]; cx q[3], q[2]; rz(-0.026170549225772673) q[2]; cx q[3], q[2]; rz(0.24246534958798496) q[8]; cx q[2], q[8]; rz(-0.24246534958798496) q[8]; cx q[2], q[8]; rz(0.05931795489741323) q[7]; cx q[2], q[7]; rz(-0.05931795489741323) q[7]; cx q[2], q[7]; rz(-0.03912454762171895) q[6]; cx q[2], q[6]; rz(0.03912454762171895) q[6]; cx q[2], q[6]; rz(-0.04689704929183572) q[5]; cx q[2], q[5]; rz(0.04689704929183572) q[5]; cx q[2], q[5]; rz(0.06857233982967634) q[4]; cx q[2], q[4]; rz(-0.06857233982967634) q[4]; cx q[2], q[4]; rz(-0.12809052602443632) q[1]; cx q[3], q[1]; rz(0.12809052602443632) q[1]; cx q[3], q[1]; rz(-0.17816466384389715) q[0]; cx q[3], q[0]; rz(0.17816466384389715) q[0]; cx q[3], q[0]; rz(0.048042168780118535) q[3]; cx q[2], q[3]; rz(-0.048042168780118535) q[3]; cx q[2], q[3]; rz(-0.12809052602443632) q[1]; cx q[2], q[1]; rz(0.12809052602443632) q[1]; cx q[2], q[1]; rz(0.24246534958798496) q[8]; cx q[1], q[8]; rz(-0.24246534958798496) q[8]; cx q[1], q[8]; rz(0.05931795489741323) q[7]; cx q[1], q[7]; rz(-0.05931795489741323) q[7]; cx q[1], q[7]; rz(-0.03912454762171895) q[6]; cx q[1], q[6]; rz(0.03912454762171895) q[6]; cx q[1], q[6]; rz(-0.04689704929183572) q[5]; cx q[1], q[5]; rz(0.04689704929183572) q[5]; cx q[1], q[5]; rz(0.06857233982967634) q[4]; cx q[1], q[4]; rz(-0.06857233982967634) q[4]; cx q[1], q[4]; rz(0.048042168780118535) q[3]; cx q[1], q[3]; rz(-0.048042168780118535) q[3]; cx q[1], q[3]; rz(-0.17816466384389715) q[0]; cx q[2], q[0]; rz(0.17816466384389715) q[0]; cx q[2], q[0]; rz(0.026170549225772673) q[2]; cx q[1], q[2]; rz(-0.026170549225772673) q[2]; cx q[1], q[2]; rz(-0.17816466384389715) q[0]; cx q[1], q[0]; rz(0.17816466384389715) q[0]; cx q[1], q[0]; rz(0.24246534958798496) q[8]; cx q[0], q[8]; rz(-0.24246534958798496) q[8]; cx q[0], q[8]; rz(0.05931795489741323) q[7]; cx q[0], q[7]; rz(-0.05931795489741323) q[7]; cx q[0], q[7]; rz(-0.03912454762171895) q[6]; cx q[0], q[6]; rz(0.03912454762171895) q[6]; cx q[0], q[6]; rz(-0.04689704929183572) q[5]; cx q[0], q[5]; rz(0.04689704929183572) q[5]; cx q[0], q[5]; rz(0.06857233982967634) q[4]; cx q[0], q[4]; rz(-0.06857233982967634) q[4]; cx q[0], q[4]; rz(0.048042168780118535) q[3]; cx q[0], q[3]; rz(-0.048042168780118535) q[3]; cx q[0], q[3]; rz(0.026170549225772673) q[2]; cx q[0], q[2]; rz(-0.026170549225772673) q[2]; cx q[0], q[2]; rz(-0.12809052602443632) q[1]; cx q[0], q[1]; rz(0.12809052602443632) q[1]; cx q[0], q[1]; rz(1.3205993782525276) q[0]; ry(0.6572235943846142) q[0]; rz(-2.3736865624459487) q[0]; rz(1.531892722006413) q[1]; ry(0.2639541038791537) q[1]; rz(-0.8370917517692202) q[1]; rz(1.6901845271011524) q[2]; ry(0.9707362148590425) q[2]; rz(-1.5105558262285437) q[2]; rz(-1.0018812836896207) q[3]; ry(0.27289363249906956) q[3]; rz(1.8024382685253126) q[3]; rz(1.1146715977168338) q[4]; ry(0.06326083001754898) q[4]; rz(-1.7300277366053363) q[4]; rz(1.5108497069280071) q[5]; ry(0.7690775469825277) q[5]; rz(-1.4792048106266793) q[5]; rz(1.543161591945898) q[6]; ry(0.11766832645687585) q[6]; rz(-0.900790577006755) q[6]; rz(1.4251150936395671) q[7]; ry(1.4929115013843617) q[7]; rz(-1.7729173650810002) q[7]; rz(-0.44515638347521946) q[8]; ry(0.16782814966731877) q[8]; rz(1.1238622184007419) q[8]; cx q[8], q[7]; rz(0.18488206387065467) q[7]; cx q[8], q[7]; cx q[8], q[6]; rz(-0.11953755034141607) q[6]; cx q[8], q[6]; cx q[8], q[5]; rz(0.05926203710641721) q[5]; cx q[8], q[5]; cx q[8], q[4]; rz(0.06945465544284889) q[4]; cx q[8], q[4]; cx q[8], q[3]; rz(0.07509417401283255) q[3]; cx q[8], q[3]; cx q[8], q[2]; rz(0.13381216859127526) q[2]; cx q[8], q[2]; cx q[8], q[1]; rz(-0.33859630163231913) q[1]; cx q[8], q[1]; cx q[8], q[0]; rz(0.1439001277675136) q[0]; cx q[8], q[0]; rz(-0.26438576996164026) q[8]; cx q[7], q[8]; rz(0.26438576996164026) q[8]; cx q[7], q[8]; rz(0.11953755034141607) q[6]; cx q[7], q[6]; rz(-0.11953755034141607) q[6]; cx q[7], q[6]; rz(-0.26438576996164026) q[8]; cx q[6], q[8]; rz(0.26438576996164026) q[8]; cx q[6], q[8]; rz(-0.05926203710641721) q[5]; cx q[7], q[5]; rz(0.05926203710641721) q[5]; cx q[7], q[5]; rz(-0.06945465544284889) q[4]; cx q[7], q[4]; rz(0.06945465544284889) q[4]; cx q[7], q[4]; rz(-0.07509417401283255) q[3]; cx q[7], q[3]; rz(0.07509417401283255) q[3]; cx q[7], q[3]; rz(-0.13381216859127526) q[2]; cx q[7], q[2]; rz(0.13381216859127526) q[2]; cx q[7], q[2]; rz(0.33859630163231913) q[1]; cx q[7], q[1]; rz(-0.33859630163231913) q[1]; cx q[7], q[1]; rz(-0.1439001277675136) q[0]; cx q[7], q[0]; rz(0.1439001277675136) q[0]; cx q[7], q[0]; rz(-0.18488206387065467) q[7]; cx q[6], q[7]; rz(0.18488206387065467) q[7]; cx q[6], q[7]; rz(-0.05926203710641721) q[5]; cx q[6], q[5]; rz(0.05926203710641721) q[5]; cx q[6], q[5]; rz(-0.26438576996164026) q[8]; cx q[5], q[8]; rz(0.26438576996164026) q[8]; cx q[5], q[8]; rz(-0.18488206387065467) q[7]; cx q[5], q[7]; rz(0.18488206387065467) q[7]; cx q[5], q[7]; rz(-0.06945465544284889) q[4]; cx q[6], q[4]; rz(0.06945465544284889) q[4]; cx q[6], q[4]; rz(-0.07509417401283255) q[3]; cx q[6], q[3]; rz(0.07509417401283255) q[3]; cx q[6], q[3]; rz(-0.13381216859127526) q[2]; cx q[6], q[2]; rz(0.13381216859127526) q[2]; cx q[6], q[2]; rz(0.33859630163231913) q[1]; cx q[6], q[1]; rz(-0.33859630163231913) q[1]; cx q[6], q[1]; rz(-0.1439001277675136) q[0]; cx q[6], q[0]; rz(0.1439001277675136) q[0]; cx q[6], q[0]; rz(0.11953755034141607) q[6]; cx q[5], q[6]; rz(-0.11953755034141607) q[6]; cx q[5], q[6]; rz(-0.06945465544284889) q[4]; cx q[5], q[4]; rz(0.06945465544284889) q[4]; cx q[5], q[4]; rz(-0.26438576996164026) q[8]; cx q[4], q[8]; rz(0.26438576996164026) q[8]; cx q[4], q[8]; rz(-0.18488206387065467) q[7]; cx q[4], q[7]; rz(0.18488206387065467) q[7]; cx q[4], q[7]; rz(0.11953755034141607) q[6]; cx q[4], q[6]; rz(-0.11953755034141607) q[6]; cx q[4], q[6]; rz(-0.07509417401283255) q[3]; cx q[5], q[3]; rz(0.07509417401283255) q[3]; cx q[5], q[3]; rz(-0.13381216859127526) q[2]; cx q[5], q[2]; rz(0.13381216859127526) q[2]; cx q[5], q[2]; rz(0.33859630163231913) q[1]; cx q[5], q[1]; rz(-0.33859630163231913) q[1]; cx q[5], q[1]; rz(-0.1439001277675136) q[0]; cx q[5], q[0]; rz(0.1439001277675136) q[0]; cx q[5], q[0]; rz(-0.05926203710641721) q[5]; cx q[4], q[5]; rz(0.05926203710641721) q[5]; cx q[4], q[5]; rz(-0.07509417401283255) q[3]; cx q[4], q[3]; rz(0.07509417401283255) q[3]; cx q[4], q[3]; rz(-0.26438576996164026) q[8]; cx q[3], q[8]; rz(0.26438576996164026) q[8]; cx q[3], q[8]; rz(-0.18488206387065467) q[7]; cx q[3], q[7]; rz(0.18488206387065467) q[7]; cx q[3], q[7]; rz(0.11953755034141607) q[6]; cx q[3], q[6]; rz(-0.11953755034141607) q[6]; cx q[3], q[6]; rz(-0.05926203710641721) q[5]; cx q[3], q[5]; rz(0.05926203710641721) q[5]; cx q[3], q[5]; rz(-0.13381216859127526) q[2]; cx q[4], q[2]; rz(0.13381216859127526) q[2]; cx q[4], q[2]; rz(0.33859630163231913) q[1]; cx q[4], q[1]; rz(-0.33859630163231913) q[1]; cx q[4], q[1]; rz(-0.1439001277675136) q[0]; cx q[4], q[0]; rz(0.1439001277675136) q[0]; cx q[4], q[0]; rz(-0.06945465544284889) q[4]; cx q[3], q[4]; rz(0.06945465544284889) q[4]; cx q[3], q[4]; rz(-0.13381216859127526) q[2]; cx q[3], q[2]; rz(0.13381216859127526) q[2]; cx q[3], q[2]; rz(-0.26438576996164026) q[8]; cx q[2], q[8]; rz(0.26438576996164026) q[8]; cx q[2], q[8]; rz(-0.18488206387065467) q[7]; cx q[2], q[7]; rz(0.18488206387065467) q[7]; cx q[2], q[7]; rz(0.11953755034141607) q[6]; cx q[2], q[6]; rz(-0.11953755034141607) q[6]; cx q[2], q[6]; rz(-0.05926203710641721) q[5]; cx q[2], q[5]; rz(0.05926203710641721) q[5]; cx q[2], q[5]; rz(-0.06945465544284889) q[4]; cx q[2], q[4]; rz(0.06945465544284889) q[4]; cx q[2], q[4]; rz(0.33859630163231913) q[1]; cx q[3], q[1]; rz(-0.33859630163231913) q[1]; cx q[3], q[1]; rz(-0.1439001277675136) q[0]; cx q[3], q[0]; rz(0.1439001277675136) q[0]; cx q[3], q[0]; rz(-0.07509417401283255) q[3]; cx q[2], q[3]; rz(0.07509417401283255) q[3]; cx q[2], q[3]; rz(0.33859630163231913) q[1]; cx q[2], q[1]; rz(-0.33859630163231913) q[1]; cx q[2], q[1]; rz(-0.26438576996164026) q[8]; cx q[1], q[8]; rz(0.26438576996164026) q[8]; cx q[1], q[8]; rz(-0.18488206387065467) q[7]; cx q[1], q[7]; rz(0.18488206387065467) q[7]; cx q[1], q[7]; rz(0.11953755034141607) q[6]; cx q[1], q[6]; rz(-0.11953755034141607) q[6]; cx q[1], q[6]; rz(-0.05926203710641721) q[5]; cx q[1], q[5]; rz(0.05926203710641721) q[5]; cx q[1], q[5]; rz(-0.06945465544284889) q[4]; cx q[1], q[4]; rz(0.06945465544284889) q[4]; cx q[1], q[4]; rz(-0.07509417401283255) q[3]; cx q[1], q[3]; rz(0.07509417401283255) q[3]; cx q[1], q[3]; rz(-0.1439001277675136) q[0]; cx q[2], q[0]; rz(0.1439001277675136) q[0]; cx q[2], q[0]; rz(-0.13381216859127526) q[2]; cx q[1], q[2]; rz(0.13381216859127526) q[2]; cx q[1], q[2]; rz(-0.1439001277675136) q[0]; cx q[1], q[0]; rz(0.1439001277675136) q[0]; cx q[1], q[0]; rz(-0.26438576996164026) q[8]; cx q[0], q[8]; rz(0.26438576996164026) q[8]; cx q[0], q[8]; rz(-0.18488206387065467) q[7]; cx q[0], q[7]; rz(0.18488206387065467) q[7]; cx q[0], q[7]; rz(0.11953755034141607) q[6]; cx q[0], q[6]; rz(-0.11953755034141607) q[6]; cx q[0], q[6]; rz(-0.05926203710641721) q[5]; cx q[0], q[5]; rz(0.05926203710641721) q[5]; cx q[0], q[5]; rz(-0.06945465544284889) q[4]; cx q[0], q[4]; rz(0.06945465544284889) q[4]; cx q[0], q[4]; rz(-0.07509417401283255) q[3]; cx q[0], q[3]; rz(0.07509417401283255) q[3]; cx q[0], q[3]; rz(-0.13381216859127526) q[2]; cx q[0], q[2]; rz(0.13381216859127526) q[2]; cx q[0], q[2]; rz(0.33859630163231913) q[1]; cx q[0], q[1]; rz(-0.33859630163231913) q[1]; cx q[0], q[1]; rx(0.348505661622003) q[0]; rz(-0.4018987020112633) q[0]; rx(0.0658423533437559) q[1]; rz(-0.16896606706851164) q[1]; rx(0.4002453870391859) q[2]; rz(-0.031452216336145845) q[2]; rx(0.08947073288357746) q[3]; rz(-0.5310005744393501) q[3]; rx(0.03740443749253468) q[4]; rz(-0.5110735796559793) q[4]; rx(-0.0634220624987296) q[5]; rz(0.17508967158681193) q[5]; rx(0.04184886164589429) q[6]; rz(0.141045622805341) q[6]; rx(0.08726437819976986) q[7]; rz(0.21854620214813417) q[7]; rx(-0.08577408071107054) q[8]; rz(-0.24672252585730203) q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x100; input float[64] x101; input float[64] x102; input float[64] x103; input float[64] x104; input float[64] x105; input float[64] x106; input float[64] x107; input float[64] x108; input float[64] x109; input float[64] x11; input float[64] x110; input float[64] x111; input float[64] x112; input float[64] x113; input float[64] x114; input float[64] x115; input float[64] x116; input float[64] x117; input float[64] x118; input float[64] x119; input float[64] x12; input float[64] x120; input float[64] x121; input float[64] x122; input float[64] x123; input float[64] x124; input float[64] x125; input float[64] x126; input float[64] x127; input float[64] x128; input float[64] x129; input float[64] x13; input float[64] x130; input float[64] x131; input float[64] x132; input float[64] x133; input float[64] x134; input float[64] x135; input float[64] x136; input float[64] x137; input float[64] x138; input float[64] x139; input float[64] x14; input float[64] x140; input float[64] x141; input float[64] x142; input float[64] x143; input float[64] x144; input float[64] x145; input float[64] x146; input float[64] x147; input float[64] x148; input float[64] x149; input float[64] x15; input float[64] x150; input float[64] x151; input float[64] x152; input float[64] x153; input float[64] x154; input float[64] x155; input float[64] x156; input float[64] x157; input float[64] x158; input float[64] x159; input float[64] x16; input float[64] x160; input float[64] x161; input float[64] x162; input float[64] x163; input float[64] x164; input float[64] x165; input float[64] x166; input float[64] x167; input float[64] x168; input float[64] x169; input float[64] x17; input float[64] x170; input float[64] x171; input float[64] x172; input float[64] x173; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x67; input float[64] x68; input float[64] x69; input float[64] x7; input float[64] x70; input float[64] x71; input float[64] x72; input float[64] x73; input float[64] x74; input float[64] x75; input float[64] x76; input float[64] x77; input float[64] x78; input float[64] x79; input float[64] x8; input float[64] x80; input float[64] x81; input float[64] x82; input float[64] x83; input float[64] x84; input float[64] x85; input float[64] x86; input float[64] x87; input float[64] x88; input float[64] x89; input float[64] x9; input float[64] x90; input float[64] x91; input float[64] x92; input float[64] x93; input float[64] x94; input float[64] x95; input float[64] x96; input float[64] x97; input float[64] x98; input float[64] x99; bit[9] c; qubit[9] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; rx(x16) q[8]; rz(x17) q[8]; crz(x18) q[8], q[7]; crz(x19) q[8], q[6]; crz(x20) q[8], q[5]; crz(x21) q[8], q[4]; crz(x22) q[8], q[3]; crz(x23) q[8], q[2]; crz(x24) q[8], q[1]; crz(x25) q[8], q[0]; crz(x26) q[7], q[8]; crz(x19) q[7], q[6]; crz(x20) q[7], q[5]; crz(x21) q[7], q[4]; crz(x22) q[7], q[3]; crz(x23) q[7], q[2]; crz(x24) q[7], q[1]; crz(x25) q[7], q[0]; crz(x26) q[6], q[8]; crz(x18) q[6], q[7]; crz(x20) q[6], q[5]; crz(x21) q[6], q[4]; crz(x22) q[6], q[3]; crz(x23) q[6], q[2]; crz(x24) q[6], q[1]; crz(x25) q[6], q[0]; crz(x26) q[5], q[8]; crz(x18) q[5], q[7]; crz(x19) q[5], q[6]; crz(x21) q[5], q[4]; crz(x22) q[5], q[3]; crz(x23) q[5], q[2]; crz(x24) q[5], q[1]; crz(x25) q[5], q[0]; crz(x26) q[4], q[8]; crz(x18) q[4], q[7]; crz(x19) q[4], q[6]; crz(x20) q[4], q[5]; crz(x22) q[4], q[3]; crz(x23) q[4], q[2]; crz(x24) q[4], q[1]; crz(x25) q[4], q[0]; crz(x26) q[3], q[8]; crz(x18) q[3], q[7]; crz(x19) q[3], q[6]; crz(x20) q[3], q[5]; crz(x21) q[3], q[4]; crz(x23) q[3], q[2]; crz(x24) q[3], q[1]; crz(x25) q[3], q[0]; crz(x26) q[2], q[8]; crz(x18) q[2], q[7]; crz(x19) q[2], q[6]; crz(x20) q[2], q[5]; crz(x21) q[2], q[4]; crz(x22) q[2], q[3]; crz(x24) q[2], q[1]; crz(x25) q[2], q[0]; crz(x26) q[1], q[8]; crz(x18) q[1], q[7]; crz(x19) q[1], q[6]; crz(x20) q[1], q[5]; crz(x21) q[1], q[4]; crz(x22) q[1], q[3]; crz(x23) q[1], q[2]; crz(x25) q[1], q[0]; crz(x26) q[0], q[8]; crz(x18) q[0], q[7]; crz(x19) q[0], q[6]; crz(x20) q[0], q[5]; crz(x21) q[0], q[4]; crz(x22) q[0], q[3]; crz(x23) q[0], q[2]; crz(x24) q[0], q[1]; rx(x27) q[0]; rz(x28) q[0]; rx(x29) q[1]; rz(x3) q[1]; rx(x30) q[2]; rz(x31) q[2]; rx(x32) q[3]; rz(x33) q[3]; rx(x34) q[4]; rz(x35) q[4]; rx(x36) q[5]; rz(x37) q[5]; rx(x38) q[6]; rz(x39) q[6]; rx(x40) q[7]; rz(x41) q[7]; rx(x42) q[8]; rz(x43) q[8]; rx(x44) q[0]; rz(x45) q[0]; rx(x46) q[1]; rz(x47) q[1]; rx(x48) q[2]; rz(x49) q[2]; rx(x50) q[3]; rz(x51) q[3]; rx(x52) q[4]; rz(x53) q[4]; rx(x54) q[5]; rz(x55) q[5]; rx(x56) q[6]; rz(x57) q[6]; rx(x58) q[7]; rz(x59) q[7]; rx(x60) q[8]; rz(x61) q[8]; crz(x62) q[8], q[7]; crz(x63) q[8], q[6]; crz(x64) q[8], q[5]; crz(x65) q[8], q[4]; crz(x66) q[8], q[3]; crz(x67) q[8], q[2]; crz(x68) q[8], q[1]; crz(x69) q[8], q[0]; crz(x70) q[7], q[8]; crz(x63) q[7], q[6]; crz(x64) q[7], q[5]; crz(x65) q[7], q[4]; crz(x66) q[7], q[3]; crz(x67) q[7], q[2]; crz(x68) q[7], q[1]; crz(x69) q[7], q[0]; crz(x70) q[6], q[8]; crz(x62) q[6], q[7]; crz(x64) q[6], q[5]; crz(x65) q[6], q[4]; crz(x66) q[6], q[3]; crz(x67) q[6], q[2]; crz(x68) q[6], q[1]; crz(x69) q[6], q[0]; crz(x70) q[5], q[8]; crz(x62) q[5], q[7]; crz(x63) q[5], q[6]; crz(x65) q[5], q[4]; crz(x66) q[5], q[3]; crz(x67) q[5], q[2]; crz(x68) q[5], q[1]; crz(x69) q[5], q[0]; crz(x70) q[4], q[8]; crz(x62) q[4], q[7]; crz(x63) q[4], q[6]; crz(x64) q[4], q[5]; crz(x66) q[4], q[3]; crz(x67) q[4], q[2]; crz(x68) q[4], q[1]; crz(x69) q[4], q[0]; crz(x70) q[3], q[8]; crz(x62) q[3], q[7]; crz(x63) q[3], q[6]; crz(x64) q[3], q[5]; crz(x65) q[3], q[4]; crz(x67) q[3], q[2]; crz(x68) q[3], q[1]; crz(x69) q[3], q[0]; crz(x70) q[2], q[8]; crz(x62) q[2], q[7]; crz(x63) q[2], q[6]; crz(x64) q[2], q[5]; crz(x65) q[2], q[4]; crz(x66) q[2], q[3]; crz(x68) q[2], q[1]; crz(x69) q[2], q[0]; crz(x70) q[1], q[8]; crz(x62) q[1], q[7]; crz(x63) q[1], q[6]; crz(x64) q[1], q[5]; crz(x65) q[1], q[4]; crz(x66) q[1], q[3]; crz(x67) q[1], q[2]; crz(x69) q[1], q[0]; crz(x70) q[0], q[8]; crz(x62) q[0], q[7]; crz(x63) q[0], q[6]; crz(x64) q[0], q[5]; crz(x65) q[0], q[4]; crz(x66) q[0], q[3]; crz(x67) q[0], q[2]; crz(x68) q[0], q[1]; rx(x71) q[0]; rz(x72) q[0]; rx(x73) q[1]; rz(x74) q[1]; rx(x75) q[2]; rz(x76) q[2]; rx(x77) q[3]; rz(x78) q[3]; rx(x79) q[4]; rz(x80) q[4]; rx(x81) q[5]; rz(x82) q[5]; rx(x83) q[6]; rz(x84) q[6]; rx(x85) q[7]; rz(x86) q[7]; rx(x87) q[8]; rz(x88) q[8]; rx(x89) q[0]; rz(x90) q[0]; rx(x91) q[1]; rz(x49) q[1]; rx(x92) q[2]; rz(x93) q[2]; rx(x94) q[3]; rz(x95) q[3]; rx(x96) q[4]; rz(x97) q[4]; rx(x98) q[5]; rz(x99) q[5]; rx(x100) q[6]; rz(x101) q[6]; rx(x102) q[7]; rz(x103) q[7]; rx(x104) q[8]; rz(x105) q[8]; crz(x106) q[8], q[7]; crz(x107) q[8], q[6]; crz(x108) q[8], q[5]; crz(x109) q[8], q[4]; crz(x110) q[8], q[3]; crz(x111) q[8], q[2]; crz(x56) q[8], q[1]; crz(x112) q[8], q[0]; crz(x113) q[7], q[8]; crz(x107) q[7], q[6]; crz(x108) q[7], q[5]; crz(x109) q[7], q[4]; crz(x110) q[7], q[3]; crz(x111) q[7], q[2]; crz(x56) q[7], q[1]; crz(x112) q[7], q[0]; crz(x113) q[6], q[8]; crz(x106) q[6], q[7]; crz(x108) q[6], q[5]; crz(x109) q[6], q[4]; crz(x110) q[6], q[3]; crz(x111) q[6], q[2]; crz(x56) q[6], q[1]; crz(x112) q[6], q[0]; crz(x113) q[5], q[8]; crz(x106) q[5], q[7]; crz(x107) q[5], q[6]; crz(x109) q[5], q[4]; crz(x110) q[5], q[3]; crz(x111) q[5], q[2]; crz(x56) q[5], q[1]; crz(x112) q[5], q[0]; crz(x113) q[4], q[8]; crz(x106) q[4], q[7]; crz(x107) q[4], q[6]; crz(x108) q[4], q[5]; crz(x110) q[4], q[3]; crz(x111) q[4], q[2]; crz(x56) q[4], q[1]; crz(x112) q[4], q[0]; crz(x113) q[3], q[8]; crz(x106) q[3], q[7]; crz(x107) q[3], q[6]; crz(x108) q[3], q[5]; crz(x109) q[3], q[4]; crz(x111) q[3], q[2]; crz(x56) q[3], q[1]; crz(x112) q[3], q[0]; crz(x113) q[2], q[8]; crz(x106) q[2], q[7]; crz(x107) q[2], q[6]; crz(x108) q[2], q[5]; crz(x109) q[2], q[4]; crz(x110) q[2], q[3]; crz(x56) q[2], q[1]; crz(x112) q[2], q[0]; crz(x113) q[1], q[8]; crz(x106) q[1], q[7]; crz(x107) q[1], q[6]; crz(x108) q[1], q[5]; crz(x109) q[1], q[4]; crz(x110) q[1], q[3]; crz(x111) q[1], q[2]; crz(x112) q[1], q[0]; crz(x113) q[0], q[8]; crz(x106) q[0], q[7]; crz(x107) q[0], q[6]; crz(x108) q[0], q[5]; crz(x109) q[0], q[4]; crz(x110) q[0], q[3]; crz(x111) q[0], q[2]; crz(x56) q[0], q[1]; rx(x114) q[0]; rz(x115) q[0]; rx(x116) q[1]; rz(x117) q[1]; rx(x118) q[2]; rz(x119) q[2]; rx(x120) q[3]; rz(x121) q[3]; rx(x122) q[4]; rz(x123) q[4]; rx(x124) q[5]; rz(x125) q[5]; rx(x126) q[6]; rz(x127) q[6]; rx(x128) q[7]; rz(x129) q[7]; rx(x130) q[8]; rz(x131) q[8]; rx(x132) q[0]; rz(x133) q[0]; rx(x134) q[1]; rz(x135) q[1]; rx(x136) q[2]; rz(x137) q[2]; rx(x138) q[3]; rz(x139) q[3]; rx(x140) q[4]; rz(x141) q[4]; rx(x116) q[5]; rz(x142) q[5]; rx(x143) q[6]; rz(x144) q[6]; rx(x145) q[7]; rz(x146) q[7]; rx(x147) q[8]; rz(x148) q[8]; crz(x149) q[8], q[7]; crz(x150) q[8], q[6]; crz(x151) q[8], q[5]; crz(x152) q[8], q[4]; crz(x153) q[8], q[3]; crz(x154) q[8], q[2]; crz(x155) q[8], q[1]; crz(x156) q[8], q[0]; crz(x157) q[7], q[8]; crz(x150) q[7], q[6]; crz(x151) q[7], q[5]; crz(x152) q[7], q[4]; crz(x153) q[7], q[3]; crz(x154) q[7], q[2]; crz(x155) q[7], q[1]; crz(x156) q[7], q[0]; crz(x157) q[6], q[8]; crz(x149) q[6], q[7]; crz(x151) q[6], q[5]; crz(x152) q[6], q[4]; crz(x153) q[6], q[3]; crz(x154) q[6], q[2]; crz(x155) q[6], q[1]; crz(x156) q[6], q[0]; crz(x157) q[5], q[8]; crz(x149) q[5], q[7]; crz(x150) q[5], q[6]; crz(x152) q[5], q[4]; crz(x153) q[5], q[3]; crz(x154) q[5], q[2]; crz(x155) q[5], q[1]; crz(x156) q[5], q[0]; crz(x157) q[4], q[8]; crz(x149) q[4], q[7]; crz(x150) q[4], q[6]; crz(x151) q[4], q[5]; crz(x153) q[4], q[3]; crz(x154) q[4], q[2]; crz(x155) q[4], q[1]; crz(x156) q[4], q[0]; crz(x157) q[3], q[8]; crz(x149) q[3], q[7]; crz(x150) q[3], q[6]; crz(x151) q[3], q[5]; crz(x152) q[3], q[4]; crz(x154) q[3], q[2]; crz(x155) q[3], q[1]; crz(x156) q[3], q[0]; crz(x157) q[2], q[8]; crz(x149) q[2], q[7]; crz(x150) q[2], q[6]; crz(x151) q[2], q[5]; crz(x152) q[2], q[4]; crz(x153) q[2], q[3]; crz(x155) q[2], q[1]; crz(x156) q[2], q[0]; crz(x157) q[1], q[8]; crz(x149) q[1], q[7]; crz(x150) q[1], q[6]; crz(x151) q[1], q[5]; crz(x152) q[1], q[4]; crz(x153) q[1], q[3]; crz(x154) q[1], q[2]; crz(x156) q[1], q[0]; crz(x157) q[0], q[8]; crz(x149) q[0], q[7]; crz(x150) q[0], q[6]; crz(x151) q[0], q[5]; crz(x152) q[0], q[4]; crz(x153) q[0], q[3]; crz(x154) q[0], q[2]; crz(x155) q[0], q[1]; rx(x158) q[0]; rz(x159) q[0]; rx(x160) q[1]; rz(x161) q[1]; rx(x124) q[2]; rz(x162) q[2]; rx(x163) q[3]; rz(x164) q[3]; rx(x165) q[4]; rz(x166) q[4]; rx(x167) q[5]; rz(x93) q[5]; rx(x168) q[6]; rz(x169) q[6]; rx(x170) q[7]; rz(x171) q[7]; rx(x172) q[8]; rz(x173) q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
{"matching": "maximum", "extra": "{\"n\": 9}"}
{"circuits": [], "gradients": []}
[ "IIIIIIIZZ", "IIIIIIZIZ", "IIIIZZIII", "IIIZIIZII", "IIIZIZIII", "IIZIZIIII", "IZIIIIIZI", "IZZIIIIII", "ZIIIIIIZI", "ZIIIIIZII", "ZIIZIIIII", "ZZIIIIIII", "IIIIIIIZI", "IIIIIIIIZ", "IIIIIIZII", "IIIIZIIII", "IIIIIZIII", "IIIZIIIII", "IIZIIIIII", "IZIIIIIII", "ZIIIIIIII" ]
[ 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10.5, 4, 12, 7, 1.5, 13, 0.5, 10.5, 15 ]
0.971796
[ -0.11626367191495618, -0.03173752259946515, 0.9478855789126086, -0.10405674410918156, -0.20148789490429764, 0.16198685409452146, -0.10600745945522325, 0.24035094405800145, 0.7705790951013602, -0.3696644980084714, 0.5459902919862265, -0.19463096022212167, -0.27051526918250374, -0.2029262882109921, 0.6156963380595899, -0.19170017285403712, -0.2994242846286579, -0.0001544573746848632, -0.0886768760239004, -0.4391421409568546, 0.015011673897774556, -0.21383585878571973, 0.012946538862631855, 0.15983802858557164, 0.0715398025450561, -0.35773312560169623, -0.18373602321107146, 0.41465276236021237, -0.2970881183042545, 0.4534667973278503, 0.5961550954891675, 0.17113792569787353, 0.12959453613478963, -0.0076985810594160375, 0.7350191606321932, 0.04063857178215188, 0.2531878244070487, -0.41131149171059206, 0.3806187419996565, 0.11065097888242591, 0.9282425441330916, 0.07125741371065687, 0.3971434088175122, -0.05175139252798586, -0.18036438764521157, -0.3782841258891541, 0.3385176439279892, 0.3666020718918283, 0.4021525975132548, -0.14194218856726384, 0.10506258348657657, 0.20350851191283045, 0.2996669475754591, -0.011476035544092475, 0.8696269346410491, 0.32622456441337827, -0.25618105204887265, -0.04941758892977444, 0.07021541849243795, 0.05009678138828765, -0.14321018371232272, 0.23333090282309468, 0.00920997314319621, -0.08934219778318878, 0.07975192443738699, 0.0758091719861783, 0.1491770252644951, 0.09034543097728315, -0.04763645580094682, 0.122002900335999, 0.09803830642153935, 0.11337608812083187, -0.1221006982192586, 0.778908194504279, -0.207026261953184, 0.8356611723494208, 0.07161231797031853, -0.1608341869112731, 0.35146562086293404, 0.72482790234265, 0.018796444315749103, 0.33815082641285465, 0.08025391826212384, -0.10567197903006764, 0.06755298461334291, 0.16710449387549045, 0.2585408614948417, -0.1224459737107941, 0.4135462144311827, 0.36948396052495946, -0.2792953571239426, 0.6601494760373384, 0.29107490090269417, 0.17508967158681193, -0.024508976802833107, -0.042598332091174196, 0.6379343256615717, 0.25589278972912455, 0.5491177917863713, 0.18814786208782125, -0.04007072380201966, 0.23324584796585762, 0.04179426776610591, -0.3496224931596988, -0.058041788279867945, -0.3373001812709109, 0.11863590979482647, -0.0782490952434379, -0.09379409858367144, 0.13714467965935268, 0.09608433756023707, 0.052341098451545345, -0.3563293276877943, 0.4849306991759699, 0.4562124203578971, -0.6918471839409709, 0.3701799565776513, 0.09525140147260092, 0.3744464624929135, 0.17495216569666855, -0.008022273806491472, 0.5847526553675916, -0.06656725682393344, -0.2226116952274299, 0.4002453870391859, -0.1154253029870991, 0.1404360683777179, 0.14126232231353122, 0.40832933475946714, -0.16402511408665835, 0.23654699949395303, 0.46437131834246526, 0.2393802836465363, -0.18093859852677865, -0.10689734106364725, 0.26283981699362463, 0.6001052914945402, 0.11683554509060012, -0.2661691925307566, 0.2903054000443732, 0.12646402591269768, -0.32421875544352297, 0.21542289412583138, -0.023041693053691553, 0.3817991395126339, 1.0893193210506535, 0.04784299066053259, -0.3433327249319723, 0.23245352040617176, -0.36976412774130935, 0.23907510068283214, -0.11852407421283442, -0.13890931088569777, -0.1501883480256651, -0.2676243371825505, 0.6771926032646383, -0.2878002555350272, -0.5287715399232805, 0.348505661622003, -0.4018987020112633, 0.0658423533437559, -0.16896606706851164, -0.031452216336145845, 0.08947073288357746, -0.5310005744393501, 0.03740443749253468, -0.5110735796559793, -0.0634220624987296, 0.04184886164589429, 0.141045622805341, 0.08726437819976986, 0.21854620214813417, -0.08577408071107054, -0.24672252585730203 ]
{ "n_parameters": 174, "n_qubits": 9, "optimal_eigenvalue": -72, "target_ratio": 0.97, "target_value": -69.84 }
83
-3157302381660211115
hypermaxcut
qaoa
{"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 5], [3, 6], [0, 5], [8, 5], [1, 3], [1, 6], [0, 7], [8, 7], [1, 2], [3, 4], [5, 7], [2, 6], [1, 4], [0, 8], [2, 5]]}
{"states": [481, 482], "expectation_value": -0.0243691610085646, "params": [[0.0267], [-0.030600000000000002]], "bitstrings": ["000011110", "000011101"], "total_optimization_steps": 10, "probabilities": [0.0019979953159408185, 0.0019979953159408185], "optimization_time": 0.698986291885376}
0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(8) + 0.0 * Z(7) + 0.0 * Z(2) + 0.0 * Z(4)
1
9
1
{"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["000011101", "000011110", "111100010", "111100001", "011100011", "100011100"], "largest_eigenvalue": 7.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[9] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; cx q[5], q[1]; rz(0.49710203531280295) q[1]; cx q[5], q[1]; cx q[1], q[3]; rz(0.49710203531280295) q[3]; cx q[1], q[3]; cx q[5], q[0]; rz(0.49710203531280295) q[0]; cx q[5], q[0]; h q[6]; cx q[1], q[6]; rz(0.49710203531280295) q[6]; cx q[1], q[6]; cx q[3], q[6]; rz(0.49710203531280295) q[6]; cx q[3], q[6]; h q[7]; h q[8]; cx q[5], q[8]; rz(0.49710203531280295) q[8]; cx q[5], q[8]; cx q[0], q[8]; cx q[5], q[7]; rz(0.49710203531280295) q[7]; cx q[5], q[7]; cx q[5], q[2]; rz(0.49710203531280295) q[2]; cx q[5], q[2]; cx q[1], q[2]; rz(0.49710203531280295) q[2]; cx q[1], q[2]; cx q[1], q[4]; rz(0.49710203531280295) q[4]; cx q[1], q[4]; rz(-1.751002276506597e-08) q[1]; rx(-0.6162569686825091) q[1]; cx q[3], q[4]; rz(0.49710203531280295) q[4]; cx q[3], q[4]; rz(-1.751002276506597e-08) q[3]; rx(-0.6162569686825091) q[3]; rz(-1.751002276506597e-08) q[4]; rx(-0.6162569686825091) q[4]; rz(-1.751002276506597e-08) q[5]; rx(-0.6162569686825091) q[5]; cx q[6], q[2]; rz(0.49710203531280295) q[2]; cx q[6], q[2]; rz(-1.751002276506597e-08) q[2]; rx(-0.6162569686825091) q[2]; rz(-1.751002276506597e-08) q[6]; rx(-0.6162569686825091) q[6]; rz(0.49710203531280295) q[8]; cx q[0], q[8]; cx q[0], q[7]; rz(0.49710203531280295) q[7]; cx q[0], q[7]; rz(-1.751002276506597e-08) q[0]; rx(-0.6162569686825091) q[0]; cx q[8], q[7]; rz(0.49710203531280295) q[7]; cx q[8], q[7]; rz(-1.751002276506597e-08) q[7]; rx(-0.6162569686825091) q[7]; rz(-1.751002276506597e-08) q[8]; rx(-0.6162569686825091) q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; bit[9] c; qubit[9] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; cx q[5], q[1]; rz(x0) q[1]; cx q[5], q[1]; cx q[1], q[3]; rz(x0) q[3]; cx q[1], q[3]; cx q[1], q[6]; rz(x0) q[6]; cx q[1], q[6]; cx q[3], q[6]; rz(x0) q[6]; cx q[3], q[6]; cx q[5], q[0]; rz(x0) q[0]; cx q[5], q[0]; cx q[5], q[8]; rz(x0) q[8]; cx q[5], q[8]; cx q[0], q[8]; rz(x0) q[8]; cx q[0], q[8]; cx q[5], q[7]; rz(x0) q[7]; cx q[5], q[7]; cx q[0], q[7]; rz(x0) q[7]; cx q[0], q[7]; cx q[8], q[7]; rz(x0) q[7]; cx q[8], q[7]; cx q[5], q[2]; rz(x0) q[2]; cx q[5], q[2]; cx q[1], q[2]; rz(x0) q[2]; cx q[1], q[2]; cx q[6], q[2]; rz(x0) q[2]; cx q[6], q[2]; cx q[1], q[4]; rz(x0) q[4]; cx q[1], q[4]; cx q[3], q[4]; rz(x0) q[4]; cx q[3], q[4]; rz(x1) q[5]; rz(x1) q[1]; rz(x1) q[3]; rz(x1) q[6]; rz(x1) q[0]; rz(x1) q[8]; rz(x1) q[7]; rz(x1) q[2]; rz(x1) q[4]; h q[0]; rz(x2) q[0]; h q[0]; h q[1]; rz(x2) q[1]; h q[1]; h q[2]; rz(x2) q[2]; h q[2]; h q[3]; rz(x2) q[3]; h q[3]; h q[4]; rz(x2) q[4]; h q[4]; h q[5]; rz(x2) q[5]; h q[5]; h q[6]; rz(x2) q[6]; h q[6]; h q[7]; rz(x2) q[7]; h q[7]; h q[8]; rz(x2) q[8]; h q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
null
{"circuits": [], "gradients": []}
[ "IIIZIIIZI", "IIIIIZIZI", "IIZIIIIZI", "IIZIIZIII", "IIIZIIIIZ", "ZIIZIIIII", "ZIIIIIIIZ", "IZIZIIIII", "IZIIIIIIZ", "ZZIIIIIII", "IIIZIIZII", "IIIIIIZZI", "IIZIIIZII", "IIIIZIIZI", "IIIIZZIII", "IIIZIIIII", "IIIIIIIZI", "IIIIIZIII", "IIZIIIIII", "IIIIIIIIZ", "ZIIIIIIII", "IZIIIIIII", "IIIIIIZII", "IIIIZIIII" ]
[ 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
0.521922
[ 0.49710203531280295, -1.7510023132553513e-8, -0.6162569686825089 ]
{ "n_parameters": 3, "n_qubits": 9, "optimal_eigenvalue": -3.5, "target_ratio": 0.97, "target_value": -3.395 }
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