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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
406f205c8f68e15d44cfdbce281f4c7d | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [37, 49], "expectation_value": -2.9965156243239575, "params": null, "bitstrings": ["011010", "001110"], "total_optimization_steps": 20, "probabilities": [0.06700894031405273, 0.9297461660320854], "optimization_time": 13.567608118057251} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(3) + 0.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["001110", "011010", "000111"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.00817263797266711) q[0];
rz(0.5966647633891988) q[0];
rx(-0.00817263797266711) q[1];
rz(0.13566274477300744) q[1];
rx(3.0563566369992974) q[2];
rz(1.526362272167271) q[2];
rx(2.7143491625185714) q[3];
rz(0.6625473815348293) q[3];
rx(-0.235591289998422) q[4];
rz(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) 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];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IZIIIZ",
"IIZIZI",
"IZIZII",
"IIZZII",
"ZZIIII",
"ZIIZII",
"IZIIII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-0.5,
0,
-1,
-0.5
] | 0.974338 | [
-0.00817263797266711,
0.5966647633891988,
0.13566274477300744,
3.0563566369992974,
1.526362272167271,
2.7143491625185714,
0.6625473815348293,
-0.235591289998422,
0.5263775625222091,
3.0339991639572848,
0.17723105258234045
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 12 |
91ffea8340e7c4939d293e0234f004e1 | 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}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [88, 216], "expectation_value": -3.723871430807282, "params": [[[0.447, 0.0017000000000000001], [0.5062, -0.0037], [0.0317, 0.1938], [0.5027, 0.0], [0.49920000000000003, 0.0032], [0.010100000000000001, -0.2384], [0.0253, 0.2343], [-0.0024000000000000002, 0.2574]], [[0.4496, -0.0001], [0.4989, -0.0037], [0.04... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(6) + -1.5 * Z(7) + -1.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(4) + -0.5... | 1 | 8 | 4 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["00100111", "10100110"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(0.9323249816709556) q[0];
ry(2.7279951285096664) q[0];
rz(-2.075098904757004) q[0];
rz(2.5951031919894003) q[1];
ry(2.9358264177910867) q[1];
rz(-0.6036350878240331) q[1];
rz(-0.4680312978319181) q[2];
ry(0.0681218181522536) q[2];
rz(1.3141161237479162) q[2];
rz(2.80... | 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IZIIIIIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIZIIIII",
"IIZIIIZI",
"IIIZIZII",
"IZIIZIII",
"IIZIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIIIIZI",
"IIIZIIII",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-1.5,
-1,
0,
0,
-0.5
] | 0.979015 | [
0.7131416740742872,
-0.2686728431843884,
0.9128676879829656,
0.0709333085985782,
-0.27908582135905746,
0.31075550958616166,
0.8218256210740389,
0.12330500157271865,
0.8838029488598638,
0.18273485886777238,
0.1336276437250638,
0.08430479353251284,
0.014264091896260763,
0.3254578429646182,
... | {
"n_parameters": 56,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 12 |
54ac1c433aa5acaf8fe8c9b4913d3138 | connected_components | 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}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4},... | {"states": [1022, 2047], "expectation_value": -23.764993537390577, "params": [[[-0.8481000000000001, 1.1066], [-0.0024000000000000002, 1.0986], [-0.0036000000000000003, -0.0027], [-0.0027, -0.0029000000000000002], [-0.0021000000000000003, 0.0022], [-0.0029000000000000002, -0.0021000000000000003], [-0.002900000000000000... | -2.5 * (Z(0) @ Z(3)) + -2.5 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(0)) + -2.5 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(5)) + -2.5 * (Z(4) @ Z(3)) + 1.0 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(5)) + 1.0 * (Z(4) @ Z(1)) + -2.0 * (Z(6) @ Z(7)) + -2.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(6)) + -2.0 * (Z(9) @ Z(7)) + -... | 15 | 11 | 1 | {"smallest_eigenvalues": [-29.5, -29.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -28.5, "smallest_bitstrings": ["00100000001", "00000000000"], "largest_eigenvalue": 26.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.3751521151679911) q[0];
ry(-0.012656742759495604) q[1];
ry(-0.13952670787172036) q[2];
ry(0.004516243261591099) q[3];
ry(-0.02476722717876672) q[4];
ry(-0.04247455205110712) q[5];
ry(-0.04247455205110712) q[6];
ry(0.030321550623284753) q[7];
ry(0.1547668740988996... | 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] x... | {"node": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IIIIIZIZIII",
"IIIIIZIIIIZ",
"IIIIIIIZIZI",
"IIIIIIIIIZZ",
"IIIIIZIIIZI",
"IIIIIIZZIII",
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIIIIZIIZI",
"IIIZZIIIIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"IZIZIIIIIII",
"IZIIZIIIIII",
"IZZIIIIIIII",
"ZIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIIIII... | [
-2.5,
-2.5,
-2.5,
-2.5,
1,
-2.5,
-2.5,
1,
-2.5,
1,
-2,
-2,
-2,
-2,
-2,
1,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1
] | 0.974741 | [
-0.3751521151679911,
-0.012656742759495604,
-0.13952670787172036,
0.004516243261591099,
-0.02476722717876672,
-0.04247455205110712,
0.030321550623284753,
0.15476687409889964,
0.12628319360373286,
-0.006315650733887377,
2.86786911184026,
0.21110363319978462,
0.0327327066893052,
-0.030436787... | {
"n_parameters": 15,
"n_qubits": 11,
"optimal_eigenvalue": -29.5,
"target_ratio": 0.97,
"target_value": -28.615
} | 26 |
6eeafc1802cd635d6723c166bcb76122 | 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": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3... | {"states": [3, 1], "expectation_value": -0.1621741630643279, "params": [[0.07490000000000001], [-0.0779]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.009035571580274402, 0.00921250798721613], "optimization_time": 1.363602876663208} | -0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -1.25 * Z(4) + -0.25 * Z(0) + 0.5 * Z(6) + 0.0 * Z(2) + 0.75 * Z(1) + -0.25 * Z(3) + 0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25, -4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.25, "smallest_bitstrings": ["1111110", "1010110", "1111100", "1010100", "1000110", "1000100"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.09205925177352985) q[0];
cx q[4], q[0];
h q[5];
h q[6];
cx q[4], q[6];
rz(0.5301334911355412) q[6];
cx q[4], q[6];
cx q[0], q[6];
cx q[4], q[2];
rz(-0.09205925177352985) q[2];
cx q[4], q[2];
cx q[2], q[1];
rz(... | 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[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
c... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"ZIZIIII",
"ZIIIIIZ",
"IIZIZII",
"IIIIZZI",
"IIIZIZI",
"IZZIIII",
"IIZIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"IZIIIII"
] | [
-0.5,
-0.25,
0.75,
-0.5,
-0.5,
-0.75,
-0.5,
-1.25,
-0.25,
0.5,
0,
0.75,
-0.25,
0.5
] | 0.61096 | [
-0.09205925177352985,
0.5301334911355412,
1.806811952172955,
-0.1326422811675516,
-1.3890424453927883,
-0.8579735972691735,
1.1466644722968449,
-1.278835031274433
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 241 |
06ec716f7c6c63b1aba8eac15fa44d26 | min_cut | vqe | {"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": 5}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 3... | {"states": [29, 63], "expectation_value": -4.749863087157982, "params": [[-0.0025, -0.0026000000000000003, -0.0024000000000000002, 0.7384000000000001, 0.0023, -0.0026000000000000003, -0.0024000000000000002], [1.5705, -0.0031000000000000003, 0.0021000000000000003, 0.3755, -0.0024000000000000002, -0.007, 0.0028], [2.121,... | -0.25 * (Z(0) @ Z(5)) + -1.5 * (Z(1) @ Z(5)) + -0.75 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(3)) + 1.0 * Z(5) + -0.25 * Z(0) + -0.5 * Z(1) + 0.5 * Z(2) + -1.0 *... | 9 | 7 | 4 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 7.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(0.14662944682209153) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(0.03207041332105976) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(-0.004657991275908549) q[2];
cx q[5], q[2];
cx q[1], q[2];
rz(0.14662944682209153) q... | 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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"IZIIIZI",
"IZIIZII",
"IIIIZZI",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IIZZIII",
"ZZIIIII",
"ZIIIIIZ",
"ZIIZIII",
"IZIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII"
] | [
-0.25,
-1.5,
-0.75,
-0.25,
-0.75,
-0.25,
-1.25,
-0.75,
-0.5,
0.5,
-0.5,
1,
-0.25,
-0.5,
0.5,
-1,
0.75,
-0.5
] | 0.946282 | [
0.14662944682209153,
0.03207041332105976,
-0.004657991275908549,
-0.06255413879699266,
-0.11688910112479409,
-1.1040750932319774,
-1.0882832930196775,
-1.1385645611061024,
-1.0610330425854635,
1.4322711339057295,
0.5063761691342662,
0.28481786844050344,
0.26423677171838056,
-0.262978351077... | {
"n_parameters": 40,
"n_qubits": 7,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 500 |
c5d57071b024d109c38c43678d62eaf1 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}]} | {"states": [60, 56], "expectation_value": -9.29999589787212, "params": null, "bitstrings": ["000011", "000111"], "total_optimization_steps": 20, "probabilities": [2.81305992022024e-07, 0.9999988346985311], "optimization_time": 9.26115083694458} | 0.9 * (Z(0) @ Z(1)) + 1.8 * (Z(2) @ Z(1)) + 0.9 * (Z(2) @ Z(0)) + -0.1 * (Z(3) @ Z(4)) + -0.2 * (Z(5) @ Z(4)) + -0.1 * (Z(5) @ Z(3)) + 4.5 * Z(1) + 2.25 * Z(0) + 4.5 * Z(2) + -0.5 * Z(4) + -0.25 * Z(3) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-9.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.4, "smallest_bitstrings": ["000111"], "largest_eigenvalue": 15.700000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.770690699219718) q[0];
h q[1];
ry(1.4871712470846223) q[1];
ry(-2.708001184483433) q[2];
rz(-pi) q[2];
cx q[1], q[2];
ry(-0.4298731353811252) q[2];
cx q[1], q[2];
cx q[1], q[0];
ry(-0.770690699219718) q[0];
cx q[1], q[0];
ry(0.1454074864826947) q[0];
ry(-0.... | null | {"source": 0, "sink": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(0.7408) 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];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZZIII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.9,
1.8,
0.9,
-0.1,
-0.2,
-0.1,
4.5,
2.25,
4.5,
-0.5,
-0.25,
-0.5
] | 0.998049 | [
0.707331722307411,
1.4871712470846223,
0.8597462707622504,
-1.3799562985781975,
-1.4711756176015598,
1.541381398439436,
-1.3965271552689695,
-0.16148817852256322,
-0.2575056935640775,
0.2663957319896916,
-0.1803796305048725,
0.0016697777359003935,
-0.24197649101399368
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -9.3,
"target_ratio": 0.97,
"target_value": -9.021
} | 1 |
3548e6a53fe7f33eccefb9f4fe0aae2f | 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": 3, "source": 0, "target": 7}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 4, "source": 3, ... | {"states": [2, 127], "expectation_value": -4.505441407051342, "params": [[[-0.895, 0.1554], [-0.21280000000000002, -0.3453], [-0.0031000000000000003, -0.056100000000000004], [0.0041, 0.0019], [0.0012000000000000001, 0.0025], [-0.0032, -0.0022], [-0.2998, 0.3922], [-0.1032, 0.0902]], [[0.24730000000000002, 0.78750000000... | 0.25 * (Z(0) @ Z(7)) + -1.0 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(5) @ Z(7)) + -1.25 * (Z(4) @ Z(5)) + -0.25 * (Z(6) @ Z(5)) + -1.25 * Z(7) + -0.25 * Z(0) + -1.0 * Z(1) + 1.25 * Z(2) + 0.75 * Z(3) + -1.0 * Z(5) + 1.25 * Z(4) + 0.25 * Z(6) | 15 | 8 | 4 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["10000000", "11000000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(1.20128190913001) q[0];
ry(0.06916472163768679) q[1];
ry(0.015663676468062392) q[2];
ry(0.19038815846766552) q[3];
ry(-0.15396474331331922) q[4];
ry(0.17130891105735244) q[5];
ry(-2.0689069311650736) q[6];
ry(3.088672280705279) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx ... | 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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"ZIIIIIIZ",
"IIIIIZZI",
"ZIIIZIII",
"IIIIZZII",
"ZIZIIIII",
"IIZZIIII",
"IZZIIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII"
] | [
0.25,
-1,
-1,
-0.25,
-0.5,
-1.25,
-0.25,
-1.25,
-0.25,
-1,
1.25,
0.75,
-1,
1.25,
0.25
] | 0.970012 | [
1.20128190913001,
0.06916472163768679,
0.015663676468062392,
0.19038815846766552,
-0.15396474331331922,
0.17130891105735244,
-2.0689069311650736,
3.088672280705279,
0.961256083889363,
-2.2180829622012572,
0.06259172568247467,
-0.019184601799460674,
0.022320144500481698,
0.13323763239951938... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 87 |
ee68f24dce039a4cba3f3c3df952f527 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "source": 4, "target": 3}, {"capaci... | {"states": [24, 27], "expectation_value": -2.4551881355469454, "params": [-0.4001, 0.6061000000000001, -0.2076, 0.9582, 0.9628000000000001, -0.3522, -0.0039000000000000003, 1.5147000000000002, -0.4343, 1.6672, -0.7907000000000001, 0.7821, 0.44720000000000004, -1.1514, 0.4651, 0.36010000000000003, 1.3034000000000001, 0.... | 0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(4) @ Z(5)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * Z(5) + -0.25 * Z(0) + 0.25 * Z(4) + 0.5 * Z(1) + 0.25 * Z(2) + -0.25 * Z(3) | 4 | 6 | 3 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["100000", "100100"], "largest_eigenvalue": 3.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(1.7187054369255659) q[0];
cx q[5], q[0];
rz(0.09446777047799948) q[0];
rx(-1.466700987803215) q[0];
cx q[5], q[4];
rz(0.01333934725850041) q[4];
cx q[5], q[4];
cx q[4], q[1];
rz(0.01333934725850041) 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[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"ZIIIIZ",
"ZZIIII",
"IZIIZI",
"IIIZZI",
"IZZIII",
"ZIIIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"IIZIII"
] | [
0.25,
-0.75,
-0.75,
-0.25,
-0.25,
-0.5,
-0.25,
0.25,
0.5,
0.25,
-0.25
] | 0.744299 | [
1.7187054369255659,
0.01333934725850041,
0.09446777047799972,
-1.1516700085688871,
1.5731593475807684,
-1.4667009878032147
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -2.75,
"target_ratio": 0.97,
"target_value": -2.6675
} | 189 |
-3169016904147589448 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 5], [0, 5], [4, 5], [1, 7], [8, 7], [1, 2], [2, 5], [6, 7], [1, 5], [5, 7], [0, 3], [8, 3], [3, 7], [2, 6]]} | {"states": [114, 339], "expectation_value": -4.2258701557070175, "params": null, "bitstrings": ["110001101", "010101100"], "total_optimization_steps": 64, "probabilities": [0.057262084847229236, 0.6973583853074246], "optimization_time": 84.09817862510681} | 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(7)) + 0.0 * Z(5) +... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["010101100", "101010011"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.785779301284003) q[0];
h q[1];
ry(-0.6916705431804738) q[1];
h q[2];
ry(1.5068437816970484) q[2];
h q[3];
ry(0.05140004550481203) q[3];
h q[4];
ry(1.4852871427828163) q[4];
h q[5];
ry(0.05140004550481203) q[5];
h q[6];
ry(-0.8915674644106802) q[6];
h q[7];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[8], q[5];\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];\nc[5] = measure q[5];\n... | [
"ZIIZIIIII",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIZIIIZI",
"IZIZIIIII",
"ZZIIIIIII",
"IZIIIIIZI",
"IIIZIIZII",
"IIIIIIZZI",
"IZZIIIIII",
"IIZIIIZII",
"ZIIIIZIII",
"IIIIIZIIZ",
"IZIIIZIII",
"IIIZIIIII",
"ZIIIIIIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIIIZI",
"IZIIIIIII",
"IIIIIIZII",
"... | [
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
] | 0.975906 | [
0.10280009100962406,
1.571558602568006,
-0.02812334916191045,
-1.7831349288213605,
1.5068437816970484,
-1.3833410863609477,
1.4852871427828163,
0.9519970658230206,
1.7902988684097214,
-0.5676056010286096,
1.243740732865389,
-0.21869162751920024,
0.12146151066842523,
-0.06211269985696226,
... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 58 |
7785e3e7ad6fcc746d4b86c67fd57c41 | 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": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 3... | {"states": [63, 45], "expectation_value": -1.270145659568056, "params": [[0.0699, 0.07540000000000001], [-0.0538, -0.0589]], "bitstrings": ["1000000", "1010010"], "total_optimization_steps": 10, "probabilities": [0.012252987797097471, 0.012753388258348883], "optimization_time": 4.609346389770508} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + 1.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + 1.5 * Z(4) + 2.25 * Z(1) + -2.5 * Z(3) + -1.25 * Z(5)... | 1 | 7 | 2 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["1011010", "1010010"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.4770183040301989) q[0];
h q[1];
ry(1.5600588358649419) q[1];
rz(-pi) q[2];
ry(-0.049828445060759584) q[2];
cx q[1], q[2];
ry(0.39130269635166626) q[2];
cx q[1], q[2];
ry(-0.009441086677882307) q[1];
ry(0.17246191439933098) q[2];
h q[3];
ry(-1.1835966050189... | 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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIZIIIZ",
"IIIIZZI",
"IIZIIZI",
"IIZZIII",
"IIIZIZI",
"IZIIZII",
"IZIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.25,
-0.75,
-0.25,
-0.25,
-1.25,
-1.25,
-0.75,
-0.5,
1.25,
-1.25,
0.25,
-0.25,
1.5,
2.25,
-2.5,
-1.25,
0
] | 0.971442 | [
-1.1835966050189877,
-1.9623389505959945,
-0.3056669926877728,
0.6498635111692677,
1.5600588358649419,
-0.9540366080603978,
-1.22932207550399,
-0.7826053927033325,
-0.5557969344496055,
-0.018882173355764614,
0.4002954472560074,
1.22108309746494,
0.34492382879866196,
1.3682006687738621,
0... | {
"n_parameters": 15,
"n_qubits": 7,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 72 |
6512650cf6e89a13be11a148f896da5d | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [69, 26], "expectation_value": -0.08732249604463742, "params": [[0.0422], [-0.0381]], "bitstrings": ["0111010", "1100101"], "total_optimization_steps": 10, "probabilities": [0.008192874205211306, 0.00819287420521131], "optimization_time": 1.4383728504180908} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.5 * Z(1) + -1.0 * Z(2) + -1.0 * Z(4) + -1.5 * Z(6) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011101", "0111010", "0111001", "1100101", "0101101"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.183297687329079) q[0];
rz(-0.03664039058173074) q[0];
rx(0.1260084799916275) q[1];
rz(0.8472975682950814) q[1];
rx(0.1212579490174453) q[2];
rz(-0.002983955011109707) q[2];
rx(-0.14987668680080724) q[3];
rz(0.7146256211124697) q[3];
rx(1.0460298228262972) q[4];
rz(... | 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;
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[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[1], q[2];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIIZIZI",
"IIIIZZI",
"IIZZIII",
"IIZIIZI",
"IIZIZII",
"ZIIZIII",
"ZIIIIZI",
"ZIIIZII",
"ZZIIIII",
"IIIZIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1.5,
-1,
-1,
-1.5,
0
] | 0.972407 | [
1.183297687329079,
0.11165584030740083,
0.1260084799916275,
0.5578048984124397,
0.12125794901744529,
0.09852660045503009,
-0.14987668680080726,
0.5980883483780792,
1.0460298228262972,
0.04247638264942648,
0.9661083981195688,
-0.23005470247308346,
-0.14241558920246883,
0.2010463011399342,
... | {
"n_parameters": 58,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 14 |
e7f52f1e4ef4212454d9db0ad93f1bd0 | 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}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 3, "s... | {"states": [510, 255], "expectation_value": -6.292742478900388, "params": [[[0.0057, 0.0002], [-0.0085, 0.7512000000000001], [-0.0023, -0.0049], [-0.0028, -0.0024000000000000002], [-0.0026000000000000003, 0.0024000000000000002], [-0.0027, 0.0026000000000000003], [-0.0018000000000000002, 0.0029000000000000002], [-1.0795... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + -0.75 * (Z(4) @ Z(5)) + -0.75 * (Z(7) @ Z(6)) + -0.75 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(8)) + -0.75 * (Z(7) @ Z(4)) + -0.25 * Z(3) + -0.25 * Z(0) + 1.0 * Z(1) + 0.25 * Z(5) + -1.5 ... | 15 | 9 | 3 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["100000000", "101000100", "100000100"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.03957831505921227) q[0];
ry(0.006130189286134036) q[1];
ry(-0.017929317053648544) q[2];
ry(0.12712730696602598) q[3];
ry(-0.017929317053648544) q[4];
ry(-0.06909810885548867) q[5];
ry(0.16499459908876507) q[6];
ry(0.1104908148870137) q[7];
ry(2.761911007049986) q[... | 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[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIZIIIZI",
"IIZIIIZII",
"ZIIIIZIII",
"ZIIIIIIIZ",
"IIIZZIIII",
"IZZIIIIII",
"IZIIIIZII",
"ZZIIIIIII",
"IZIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIZIIIII",
"IIZIIIIII",
"IIIIIIZII",
"ZIIIIIIII",
"IIIIZIIII",
"IZIIIIIII"
] | [
-0.25,
-0.5,
-1,
-0.75,
-0.5,
0.5,
-0.75,
-0.75,
-0.75,
-0.5,
-0.75,
-0.25,
-0.25,
1,
0.25,
-1.5,
0,
-0.5,
0,
1.25
] | 0.973957 | [
-0.03957831505921227,
0.006130189286134036,
-0.017929317053648544,
0.12712730696602598,
-0.06909810885548867,
0.16499459908876507,
0.1104908148870137,
2.761911007049986,
-0.24906193861339584,
0.10025750594834357,
-0.040340474615634385,
-0.006986122981867142,
0.030676898583188086,
-0.633446... | {
"n_parameters": 23,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 45 |
afc1e6ae0489b407103909fb8184f531 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [54, 55], "expectation_value": -0.23378392448568586, "params": [[-0.0799], [0.0782]], "bitstrings": ["1001001", "1001000"], "total_optimization_steps": 10, "probabilities": [0.009248750219154252, 0.00962538129629942], "optimization_time": 1.3415026664733887} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.0 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(6) + -1.0 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1001000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.038206618307315275) q[0];
cx q[1], q[0];
rz(-0.7362373108468026) q[1];
rx(1.0232489118228707) q[1];
h q[2];
cx q[0], q[2];
rz(-0.038206618307315275) q[2];
cx q[0], q[2];
h q[3];
cx q[2], q[3];
rz(-0.038206618307315275) q[3];
cx q[2],... | 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;
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[0], q[2];
rz(x0) q[2];
cx q[0], q[2]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIIZZII",
"IIZZIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-2,
-0.5,
-0.5,
-0.5,
0,
-1
] | 0.976376 | [
-0.038206618307315275,
-0.7362373108468029,
1.3466984830280748,
-0.20470298095310765,
0.745958834784167,
1.0232489118228707,
0.03314743356154229,
-0.004753878321068591,
-1.315429486290217,
0.5768805783022085,
0.684831630544441,
-0.1613007339731846,
1.2439326691661319,
-0.09426819990905794,... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 25 |
a0d529ca36dd3a1366498490d13dd5e2 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": ... | {"states": [14, 49], "expectation_value": -0.13210132479658876, "params": [[-0.023700000000000002, -0.0608], [-0.0105, 0.0603]], "bitstrings": ["110001", "001110"], "total_optimization_steps": 10, "probabilities": [0.017733361957050137, 0.017759419019327892], "optimization_time": 2.271519660949707} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["001110", "110001", "010011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.08588185594382781) q[0];
cx q[4], q[0];
rz(-0.7796390051316933) q[0];
rx(-0.16223409120890334) q[0];
cx q[4], q[1];
rz(0.08588185594382781) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(0.08588185594382781) q[2];
cx q... | 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;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(x0) q[0];
cx q... | null | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"IZIIZI",
"IIIZZI",
"IIZIZI",
"ZZIIII",
"ZIIZII",
"ZIZIII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-1,
-0.5,
-0.5,
-1
] | 0.976001 | [
0.08588185594382781,
-0.8756859798659048,
-0.7796390051316935,
-0.4654146534934242,
-0.16223409120890334,
-0.17378727443252442,
2.489205451114607,
-1.1559017135907852,
1.5966900435185638
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 34 |
008348b9d01d020b163af50a3bb522a4 | 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": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [2412, 2348], "expectation_value": -136.28018930726637, "params": [0.0026000000000000003, -1.7562, 2.6022000000000003, 0.0034000000000000002, 0.5591, 0.8195, 2.1429, 0.0031000000000000003, 2.5939, 0.0057, 0.0023, -1.7724, 2.6015, -0.733, 2.5902000000000003, 0.0037, 2.5756, 0.0031000000000000003, 2.5846, -0.0... | 8.5 * (Z(1) @ Z(2)) + 8.5 * (Z(4) @ Z(1)) + 8.5 * (Z(3) @ Z(4)) + 8.5 * (Z(6) @ Z(1)) + 8.5 * (Z(6) @ Z(4)) + 8.5 * (Z(7) @ Z(6)) + 8.5 * (Z(9) @ Z(2)) + 8.5 * (Z(8) @ Z(9)) + 8.5 * (Z(10) @ Z(1)) + 8.5 * (Z(10) @ Z(4)) + 8.5 * (Z(10) @ Z(6)) + 8.5 * (Z(11) @ Z(7)) + 8.5 * (Z(11) @ Z(10)) + 4.0 * Z(2) + 23.5 * Z(1) + 2... | 4 | 13 | 1 | {"smallest_eigenvalues": [-165.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -154.0, "smallest_bitstrings": ["1011011010011"], "largest_eigenvalue": 259.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(0.1573759545929181) q[0];
rz(-0.015481492257125584) q[0];
rx(3.0926255438233246) q[1];
rz(1.080600800603225) q[1];
rx(-0.11758726567120441) q[2];
rz(2.8594773233235546) q[2];
rx(2.3388343042739064) q[3];
rz(1.3627808327863509) q[3];
rx(-3.097787590055385) q[4];
rz(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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZI",
"IIIIIIIIZIIZI",
"IIIIIIIIZZIII",
"IIIIIIZIIIIZI",
"IIIIIIZIZIIII",
"IIIIIZZIIIIII",
"IIIZIIIIIIZII",
"IIIZZIIIIIIII",
"IIZIIIIIIIIZI",
"IIZIIIIIZIIII",
"IIZIIIZIIIIII",
"IZIIIZIIIIIII",
"IZZIIIIIIIIII",
"IIIIIIIIIIZII",
"IIIIIIIIIIIZI",
"IIIIIIIIZIIII",
"IIIIIIIIIZI... | [
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
4,
23.5,
22.5,
-4.5,
22,
7.5,
6,
-3.5,
23.5,
3.5,
-16.5,
-14.5,
-13
] | 0.980804 | [
0.1573759545929181,
-1.586277819052022,
3.0926255438233246,
-0.49019552619167184,
-0.1175872656712044,
1.2886809965286574,
2.3388343042739064,
-0.2080154940085452,
3.185397717124202,
-0.08885847765528938,
0.0037711049983817357,
-2.2273672103730475,
3.277959531829356,
-1.060580264118125,
... | {
"n_parameters": 37,
"n_qubits": 13,
"optimal_eigenvalue": -165,
"target_ratio": 0.97,
"target_value": -160.04999999999998
} | 13 |
836c884d7f0cabd4f561d6ff6961863c | 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": 2, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 4, "source": 1, ... | {"states": [0, 125], "expectation_value": -13.521090247285878, "params": [[[0.0012000000000000001, 0.8043], [0.0061, 0.0004], [0.0023, 0.0029000000000000002], [0.0031000000000000003, 0.0021000000000000003], [0.0027, 0.0019], [0.0022, 0.0015], [0.0017000000000000001, 0.0495], [0.002, 0.002]], [[0.006, -0.0008], [0.00340... | -0.5 * (Z(0) @ Z(6)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -1.0 * (Z(4) @ Z(3)) + -1.75 * (Z(4) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(1)) + -1.25 * (Z(7) @ Z(4)) + -1.5 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(7)) + -0.75 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @... | 15 | 8 | 3 | {"smallest_eigenvalues": [-14.0, -14.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.0, "smallest_bitstrings": ["10000000", "10000010"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.0007449686660264999) q[0];
ry(0.09606353606685049) q[1];
ry(0.0006507474146606532) q[2];
ry(-0.021672324536409323) q[3];
ry(0.02495703531247307) q[4];
ry(-0.009483672816795088) q[5];
ry(0.10199381422246338) q[6];
ry(0.09246377246176307) q[7];
cx q[7], q[0];
cx 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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IZIIIIIZ",
"IIIIZIZI",
"IZIZIIII",
"IIIZZIII",
"IIIZIIZI",
"ZIIIIIIZ",
"ZIIIIIZI",
"ZIIZIIII",
"IIIIIZZI",
"IIIZIZII",
"ZIIIIZII",
"IZZIIIII",
"IIZZIIII",
"IIZIIZII",
"IZIIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIZIIII",
"ZIIIIIII",
"IIIIIZII",
"IIZIIIII"
] | [
-0.5,
-0.75,
-0.5,
-1,
-1.75,
0.75,
-1,
-1.25,
-1.5,
-1.25,
-1.25,
-0.75,
-1.75,
-0.5,
-0.75,
-0.25,
0.25,
0,
-0.5,
-2.75,
2,
2
] | 0.973359 | [
0.0007449686660264999,
0.09606353606685049,
0.0006507474146606532,
-0.021672324536409323,
0.02495703531247307,
-0.009483672816795088,
0.10199381422246338,
0.09246377246176307,
0.9196006079285015,
-0.18722588087365208,
0.03610809075229482,
-0.032238460983527326,
0.05443916473844061,
0.08398... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 16 |
9aafe0580999b1b0b4b8e8eda0d2bc18 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 18, "source": 0, "target": 3}, {"weight": 11, "source": 0, "target": 5}, {"weight": 1... | {"states": [186, 124], "expectation_value": -27.542426930986174, "params": [[0.0346, -0.07010000000000001, -0.014100000000000001], [-0.0673, 0.06280000000000001, 0.063]], "bitstrings": ["01000101", "10000011"], "total_optimization_steps": 10, "probabilities": [0.015471675084507499, 0.02031849842198276], "optimization_t... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(5) @ Z(0)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["10000011"], "largest_eigenvalue": 154.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.008488357935385014) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.008488357935385014) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.008488357935385014) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.008488357935385014) q[3];
cx q[... | 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[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIZIIIIZ",
"IIZIIZII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
18,
12,
19.5,
12.5,
14,
13,
11.5,
-2
] | 0.975971 | [
-0.008488357935385014,
1.2282148178064172,
-0.8433163024275433,
1.9725853102242956,
0.7728853189660121,
1.8680963585552939,
1.0323223109501083,
-1.0872816684056126,
-1.4919523916296222,
-1.1032332760214447,
0.051606515557825625,
0.9174931232599342,
-0.7487650083959976,
-0.9471809696574603,... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -69.5,
"target_ratio": 0.97,
"target_value": -67.41499999999999
} | 87 |
8abcecb9be692ba9d31a27398366ffa4 | 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": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [33, 1], "expectation_value": -1.0968348379769857, "params": [[0.04, 0.065, 0.081], [-0.001, -0.0388, -0.0664]], "bitstrings": ["1011110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.015937911019328677, 0.018308773253083024], "optimization_time": 6.00566840171814} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @... | 1 | 7 | 3 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.5490827494225263) q[0];
rz(-pi) q[1];
ry(-0.28233305796915187) q[1];
h q[2];
ry(-1.5490827494225263) q[2];
h q[3];
ry(-1.5490827494225263) q[3];
h q[4];
ry(-1.5490827494225263) q[4];
h q[5];
ry(-1.5490827494225263) q[5];
h q[6];
ry(1.5893740482243686) 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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIIZ",
"IIZIZII",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIIZ",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.75,
-0.75,
-0.75,
2,
-0.25,
0.75,
-0.25,
-1,
-0.5,
-0.5,
-0.25,
1.75
] | 0.997733 | [
1.5893740482243686,
-1.5490827494225263,
-1.8450825844559562,
-0.01609360061618495
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 1 |
031bde19006d92e908f1dc22e1fb7974 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 6, "target": 8}, {"sour... | {"states": [248, 255], "expectation_value": -0.466780627570187, "params": [[0.06860000000000001], [-0.0635]], "bitstrings": ["00000111", "00000000"], "total_optimization_steps": 10, "probabilities": [0.004988749376694928, 0.005047519567969155], "optimization_time": 1.8826217651367188} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 1.0 * Z(6) + 0.5 * Z(5) + -1.0 * Z(7) | 5 | 8 | 1 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["00000000"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.03703759092631452) q[0];
ry(-0.10644619611163444) q[1];
ry(0.0344378454434858) q[2];
ry(-0.055278475359991974) q[3];
ry(0.06948135351492049) q[4];
ry(0.31902454810079145) q[5];
ry(0.06948135351492049) q[6];
ry(-0.13809416760795773) q[7];
cx q[7], q[0];
cx q[6], q[... | 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;
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[3], q[2];
rz(x1) q[2];
cx q[... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZZIII",
"IIIZIZII",
"IZZIIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-1,
-1.5,
-1.5,
0.5,
-1.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
0.5,
-1
] | 0.977681 | [
-0.03703759092631452,
-0.10644619611163444,
0.0344378454434858,
-0.055278475359991974,
0.06948135351492049,
0.31902454810079145,
-0.13809416760795773,
3.1688219934308886,
-0.017763723753566635,
0.02238548066456226,
-0.08778899776477263,
-0.03551592038953511,
-0.14221577294177784,
-0.028172... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 71 |
970feda6d93c64de069f28f3634686b8 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [186, 185], "expectation_value": -60.571855456116246, "params": [[[1.0675000000000001, 0.0119], [-0.004200000000000001, 0.0078000000000000005], [0.8147000000000001, 1.9965000000000002], [1.9929000000000001, 1.0142], [0.0033, 1.0686], [-0.0057, 1.5795000000000001], [1.5655000000000001, 1.568], [1.442300000000... | 6.0 * (Z(1) @ Z(3)) + 6.0 * (Z(0) @ Z(3)) + 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(2) @ Z(1)) + 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(4) @ Z(1)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(6) @ Z(2)) + 6.0 * (Z(7) @ Z(6)) + 15.0 * Z(3) + 14.0 * Z(1) + 15.5 * Z(0) + 18.0 * Z(2) + 9.0 * Z(4) + -3.5 * Z(5) + 2.0 * Z(6) + -0.5... | 15 | 8 | 2 | {"smallest_eigenvalues": [-68.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.5, "smallest_bitstrings": ["01000110"], "largest_eigenvalue": 129.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(1.5971702931935325) q[0];
ry(-0.4984794149554461) q[1];
ry(0.2595433343122915) q[2];
ry(2.749339121602441) q[3];
ry(0.05244997331133382) q[4];
ry(-0.15999278008496015) q[5];
ry(1.6198560152523902) q[6];
ry(1.5704593642903575) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[... | 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIZIZI",
"IIIIZIIZ",
"IIIIIIZZ",
"IIIIZZII",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIZI",
"IIZZIIII",
"IZIIIZII",
"ZZIIIIII",
"IIIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
15,
14,
15.5,
18,
9,
-3.5,
2,
-0.5
] | 0.970814 | [
1.5971702931935325,
-0.4984794149554461,
0.2595433343122915,
2.749339121602441,
0.05244997331133382,
-0.15999278008496015,
1.6198560152523902,
1.5704593642903575,
0.07199965343853283,
-0.02211654030729242,
2.7383561042599283,
1.0886947137552165,
1.152119827001539,
1.8286022359512157,
1.1... | {
"n_parameters": 32,
"n_qubits": 8,
"optimal_eigenvalue": -68.5,
"target_ratio": 0.97,
"target_value": -66.445
} | 51 |
d114ff1e0bd61bf0050eea96b08ede3a | 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}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [450, 458], "expectation_value": -6.510681194572034, "params": [0.5078, 0.507, 0.4988, 0.5019, 0.5086, 0.5085000000000001, -0.0088, -0.0012000000000000001, -0.0048000000000000004, 0.0043, 0.4213, 0.4268, -0.0071, -0.0064, 0.5026, 0.5068, 0.014400000000000001, 0.0175, 0.5054000000000001, 0.5089, 0.5068, 0.498... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) ... | 14 | 9 | 2 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["000110101"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.7723991602481052) q[0];
rz(pi/2) q[0];
ry(0.46820006176077633) q[1];
ry(0.2802041190581044) q[2];
ry(0.018305349760489614) q[3];
ry(-0.3970501985266203) q[4];
ry(0.7541585536944173) q[5];
ry(0.2899835393789241) q[6];
ry(1.2424527272994366) q[7];
ry(-0.4637531643287... | 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIZIIZIII",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IIIIIZIZI",
"ZIIIIIIZI",
"IIZIZIIII",
"IIIIZIIZI",
"IIIIIZZII",
"IIIZIZIII",
"IIZZIIIII",
"ZIIZIIIII",
"IIIZZIIII",
"IZZIIIIII",
"IZIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"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,
-2,
-1,
-2,
-1,
-1,
-1.5,
0,
-1.5,
-0.5
] | 0.973125 | [
0.7723991602481052,
0.46820006176077633,
0.2802041190581044,
0.018305349760489614,
-0.3970501985266203,
0.7541585536944173,
0.2899835393789241,
1.2424527272994366,
-0.46375316432878055,
0.3096661493483707,
-0.2452795432741315,
0.7740665173131815,
-0.26237798061235307,
-0.07478192828614266,... | {
"n_parameters": 69,
"n_qubits": 9,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 42 |
a7fba5c7fdc2a0492603f740d30b0e3e | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": ... | {"states": [139, 77], "expectation_value": -0.06504989482606992, "params": [[0.0724, -0.0482], [-0.082, -0.0125]], "bitstrings": ["01110100", "10110010"], "total_optimization_steps": 10, "probabilities": [0.0043904557131225555, 0.004390455713122557], "optimization_time": 10.670976638793945} | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 1 | 8 | 2 | {"smallest_eigenvalues": [-2.6875, -2.6875, -2.6875, -2.6875, -2.6875, -2.6875, -2.6875], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.6875, "smallest_bitstrings": ["00110110", "00010111", "01110100", "10010011", "10110010", "11010001", "01010101"], "largest_eigenvalue": 5.3125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0038456229068963193) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.0038456229068963193) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0038456229068963193) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(0.0038456229068963193) q[0];
cx q[... | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIZIIZI",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIZIIZZ",
"IIIIZZIZ",
"IIIZIZIZ",
"IIIZZIIZ",
"IIIIZZZI",
"IIIZIZZI",
"IIIZZIZI",
"IIIZZZII",
"IIIIZZZZ",
"IIIZIZZZ",
"IIIZZIZ... | [
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,... | 0.970195 | [
0.0038456229068963193,
0.03152788476359816,
0.5843677711496659,
0.07011294895722706,
-0.10747817429227481,
-1.040178437004815,
1.0646619051284048,
-1.0354563116757038,
0.017329488661321276,
0.04182312572303404,
1.035489171615615,
0.18311382064276116,
-0.27304283047034755,
-1.02584056551815... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -2.6875,
"target_ratio": 0.97,
"target_value": -2.606875
} | 194 |
59b33be6760da26bd685846ef2e71fd0 | 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}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 7}, {"source": 2, "target": 6}, {"sour... | {"states": [149, 405], "expectation_value": -3.6108619809775213, "params": [1.6260000000000001, 0.008, 1.9114, 0.005200000000000001, -0.0041, 0.0014, -0.0041, 0.0012000000000000001, 1.901, 0.007, 0.47940000000000005, 0.0057, 1.9058000000000002, 0.0073, -0.006500000000000001, 0.0077, 1.9125, 0.00030000000000000003, 0.00... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * Z(2) + -1.0 * Z(0) + -0.5 * Z(5) + -1.0 * Z(7) + 0.0 * Z(1) + -0.5 * Z(6) + 0.0 * Z(8) + -1.0... | 3 | 9 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["001101010"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(2.5311099782291944) q[0];
rz(0.07294041487244662) q[0];
rx(-2.920814242465755) q[1];
rz(0.1760753034912712) q[1];
rx(-0.05713003919260695) q[2];
rz(0.4577809784137372) q[2];
rx(-0.05713003919260695) q[3];
rz(0.25853355479641493) q[3];
rx(3.056677661200575) q[4];
rz(-... | 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIZIIIIZ",
"IZIIIIIIZ",
"IZIIIIIZI",
"IIZIIIZII",
"ZIIIIIZII",
"IZIIIZIII",
"IIZIIZIII",
"IIIZZIIII",
"IIIIZZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"IZIIIIIII",
"IIIIIIIZI",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIZIII",
"IIIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-1,
0,
-0.5,
0,
-1,
-0.5
] | 0.971673 | [
2.5311099782291944,
0.0985266592694784,
3.3623710647138316,
0.11738353566084783,
-0.05713003919260695,
0.5392478908952606,
0.4279956243476726,
3.056677661200575,
-0.7806328041531195,
-0.24061645813202873,
-0.5979685219346573,
3.080728332689748,
0.3361454335176289,
-0.02867234470902743,
0... | {
"n_parameters": 23,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 15 |
4ff6cd3ae35a7505dd00eb5f37bcfa52 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}], "edges": [{"weight": 2, "source": 0, "target": 3}, {"weight": 8, "... | {"states": [117, 93], "expectation_value": -15.187119320189336, "params": [[0.0352, 0.009000000000000001], [-0.0567, -0.0472]], "bitstrings": ["10001010", "10100010"], "total_optimization_steps": 10, "probabilities": [0.009623029169004675, 0.010321112681363162], "optimization_time": 3.0517640113830566} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(4)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 17.5 * Z(1) + -3.0 * Z(0) + 15.0 *... | 1 | 8 | 2 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 139.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.09219022397749128) q[0];
cx q[1], q[0];
rz(-1.2871422316693653) q[0];
rx(0.10379619859919222) q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.09219022397749128) q[4];
cx q[1], q[4];
cx q[1], q[2];
rz(0.09219022397749128) q[2];
cx q[... | 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIZI",
"IIIIIZZI",
"IIIZIZII",
"IIIIZIZI",
"IIIZZIII",
"IIIIZZII",
"IIZIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
17.5,
-3,
15,
12,
17,
12.5,
5,
11.5
] | 0.979572 | [
0.09219022397749128,
0.8982429000207126,
-1.2871422316693646,
0.24599877936251585,
-0.9798884543189016,
0.6694199466030656,
0.8683968766675187,
-0.3547308698519625,
0.9369223338993231,
0.10379619859919209,
-0.08770470281201148,
0.5841101200094906,
-0.6227792457430795,
1.1403942607354456,
... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 37 |
cd7b84ad2d4b8d6fe476a79e7e3c2f72 | connected_components | 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}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"s... | {"states": [8159, 8143], "expectation_value": -26.155921750265932, "params": [[[-0.0019, 2.7087000000000003], [-0.002, 0.0018000000000000002], [-0.0036000000000000003, -0.0023], [-0.0032, -0.0031000000000000003], [-0.0034000000000000002, -0.0032], [-0.0031000000000000003, -0.0031000000000000003], [-0.0025, -0.002900000... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(10)) + -2.0 * (Z(11) @ Z(10)) + -2.0 * (Z(11) @ Z(9)) + -2.0 * (Z(12) @ Z(10)... | 15 | 13 | 1 | {"smallest_eigenvalues": [-28.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.0, "smallest_bitstrings": ["0000000110000"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(-0.02410087342282313) q[0];
ry(0.006767401742323155) q[1];
ry(-0.2103838181726146) q[2];
ry(-0.0056125908252239835) q[3];
ry(0.12752490861890298) q[4];
ry(-0.06027653411182088) q[5];
ry(0.06982899372357315) q[6];
ry(2.1356683094532123) q[7];
ry(2.27913575418228) 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[... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIZIZI",
"IIIIIIIIIZIIZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZIZ",
"IIIIIIIIIZZII",
"IIIIIIIZZIIII",
"IIIIIIZZIIIII",
"IIIIIIZIZIIII",
"IIIIZZIIIIIII",
"IIZZIIIIIIIII",
"IZZIIIIIIIIII",
"IZIZIIIIIIIII",
"ZIZIIIIIIIIII",
"ZIIZIIIIIIIII",
"ZZIIIIIIIIIII",
"IIIIIIIIIII... | [
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-1.5,
-1.5,
0.5,
0.5,
-2,
-2,
-2,
-2,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5
] | 0.971116 | [
-0.02410087342282313,
0.006767401742323155,
-0.2103838181726146,
-0.0056125908252239835,
0.12752490861890298,
-0.06027653411182088,
0.06982899372357315,
2.1356683094532123,
2.27913575418228,
-0.07472157801447105,
0.049765033924375784,
-0.03180525309555177,
-0.008168183258306868,
3.14522023... | {
"n_parameters": 20,
"n_qubits": 13,
"optimal_eigenvalue": -28,
"target_ratio": 0.97,
"target_value": -27.16
} | 25 |
aaa0b19e64bf3c35281517d1fd2e9593 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}]} | {"states": [12, 8], "expectation_value": -0.20914701685672876, "params": [[-0.07830000000000001, -0.0806], [0.0751, 0.0752]], "bitstrings": ["10011", "10111"], "total_optimization_steps": 10, "probabilities": [0.036938532086714486, 0.039352965646609665], "optimization_time": 2.8607494831085205} | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(1)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(3) @ Z(1... | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.125, "smallest_bitstrings": ["10111"], "largest_eigenvalue": 4.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3082490255491387) q[0];
cx q[1], q[0];
rz(-0.4813792428916286) q[0];
rx(-0.0708269652138156) q[0];
h q[2];
cx q[1], q[2];
rz(0.3082490255491387) q[2];
cx q[1], q[2];
rz(0.38370389231516544) q[1];
rx(-0.07082696521381568) q[1];
cx 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] 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"ZIIZI",
"IZIZI",
"ZIZII",
"IZZII",
"ZZIII",
"ZIZZI",
"IZZZI",
"ZZIZI",
"ZZZII",
"ZZZZI",
"IIIIZ",
"IIIZI",
"IIZII",
"ZIIII",
"IZIII"
] | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-1,
-0.125,
-0.625,
-0.625,
-0.625
] | 0.977854 | [
0.3082490255491387,
0.3837038923151648,
-0.48137924289163025,
0.26332802912302594,
-0.07082696521381564,
-0.3050505286502088,
0.5806483285648956,
0.6562418208675107,
0.7543675324261974,
-0.03625229813212085,
0.44867521434950836,
0.9051415988683418,
0.9758359490263386
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 18 |
-4213807148665555383 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[3, 5], [2, 5], [0, 3], [0, 4], [1, 4]]} | {"states": [14, 49], "expectation_value": -0.029985430946248455, "params": [[0.0627], [-0.0482]], "bitstrings": ["110001", "001110"], "total_optimization_steps": 10, "probabilities": [0.016577878167879586, 0.016577878167879586], "optimization_time": 0.40901827812194824} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(1) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["001110", "110001"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.012086707945597387) q[0];
h q[1];
ry(-0.012086707945597387) q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
ry(0.012086707945597387) q[0];
cx q[4], q[0];
cx q[4], q[1];
ry(0.012086707945597387) q[1];
cx q[4], q[1];
ry(-0.5454248876318473) q[0];
ry(-0.77561809... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[3];
rz(x0) q[3];
cx q[5], q[3];
cx q[5], q[2];
rz(x0) q[2];
cx q[5], q[2];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"ZIZIII",
"ZIIZII",
"IIZIIZ",
"IZIIIZ",
"IZIIZI",
"ZIIIII",
"IIZIII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.981326 | [
-0.024173415891194774,
1.5381368720063335,
-0.4573821572923954,
0.9763952712155289,
-0.845716518209892,
1.0101221297536276,
-1.0908497752636945,
0.27839620419797967,
0.42118138129561444,
-0.8205862969811011,
0.20105834779571147,
-0.17581748571897043,
0.46347820326853995,
0.0899363944198171... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 27 |
20105dd34864c02d46a9b19074582db3 | 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": 2, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 11, "source": 0, "target": 8}, {"weight": 9, "source... | {"states": [246, 214], "expectation_value": -61.8683818605222, "params": [0.049300000000000004, 0.1605, 0.0468, 0.1529, 0.39740000000000003, 0.06960000000000001, 0.3952, 0.0354, 0.39680000000000004, 0.0407, 0.39390000000000003, 0.007500000000000001, 0.16640000000000002, -0.08900000000000001, 0.1756, -0.1055000000000000... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(8) @ Z(7)) + 12.5 * Z(1) + 1.0 * Z(0) + 5.5 * Z(2) + 4.5 * Z(3) + 10.5 * Z(4) + 6.0 * Z(5) ... | 5 | 9 | 4 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["100101001"], "largest_eigenvalue": 117.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.14435721115994946) q[0];
rz(-0.21708353273768521) q[0];
rx(0.7915528497102055) q[1];
rz(0.10836241993164064) q[1];
rx(0.5191237829960504) q[2];
rz(0.08648807509834322) q[2];
rx(-0.13998850810080563) q[3];
rz(-0.251024769667616) q[3];
rx(0.12441138115153424) q[4];
r... | 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;
i... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
12.5,
1,
5.5,
4.5,
10.5,
6,
11,
9,
2.5
] | 0.971779 | [
0.14435721115994943,
-0.39904601130316897,
0.7915528497102056,
0.24568622367932522,
0.5191237829960504,
0.03519440933784296,
-0.1399885081008056,
-0.36584201093119917,
0.12441138115153424,
0.18908820056406622,
-0.12436151191020965,
-0.7036982822293517,
0.18933463204204426,
-0.3043442920914... | {
"n_parameters": 164,
"n_qubits": 9,
"optimal_eigenvalue": -69.5,
"target_ratio": 0.97,
"target_value": -67.41499999999999
} | 101 |
473775bc8d8b4cca680d00f7b64c1aa1 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [41, 44], "expectation_value": -0.16534919134838655, "params": [[0.0025, -0.044500000000000005, 0.060500000000000005], [-0.0317, 0.0482, -0.0341]], "bitstrings": ["010110", "010011"], "total_optimization_steps": 10, "probabilities": [0.016842865211013764, 0.016842865211013767], "optimization_time": 5.5007250... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.5 * Z(0) + -2.0 * Z(4) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["010011", "010110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022388232708840404) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022388232708840404) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022388232708840404) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.022388232708840404) q[3];
cx 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIZI",
"IZIIIZ",
"IIIZZI",
"IZIZII",
"IIZIZI",
"IZZIII",
"ZIIIZI",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-2,
-0.5,
-1,
-1
] | 0.970792 | [
0.022388232708840404,
-0.16546972504389865,
1.387189998889542,
1.1317721305414625,
-1.0291416278486831,
1.3553919116902904,
-0.24772195907827305,
-0.6852193775874179,
1.0091668921719015,
0.9126657422045303,
0.15550491965267638,
0.23151516878776346
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 42 |
e9d9b91bfd2b1be4702d219d04bf78f1 | 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}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": ... | {"states": [1023, 1022], "expectation_value": -1.2079297199975298, "params": [[-0.0776], [0.076]], "bitstrings": ["0000000000", "0000000001"], "total_optimization_steps": 10, "probabilities": [0.0017086738360217756, 0.0017492482046344085], "optimization_time": 2.157888650894165} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(8) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + 0... | 1 | 10 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["0000000001"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.001432448751101056) q[0];
cx q[1], q[0];
rz(-1.4019289543122877) q[0];
rx(1.5665953202805412) q[0];
rz(-1.4019289543122877) q[1];
rx(1.5665953202805412) q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(-0.11561943539346946) q[2];
cx q... | 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[10] c;
qubit[10] 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];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIZZII",
"IIIZZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"IZIZIIIIII",
"IZIIZIIIII",
"IZZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII"... | [
-1,
-1.5,
-1.5,
0.5,
-2,
1,
-2,
-2,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.791011 | [
0.001432448751101056,
-0.11561943539346946,
-1.4019289543122877,
0.0004461657443661185,
-0.00014970484478022035,
1.5707963122822266,
1.5665953202805412
] | {
"n_parameters": 7,
"n_qubits": 10,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 232 |
a5f43532e1723f6087760e0dbad85b40 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 6}, {"weight": 13, "source": 1, "target": 4}, {"weight": 18, "source": 1, "tar... | {"states": [237, 234], "expectation_value": -31.480446233612923, "params": [[-0.0261, -0.0023, 0.014400000000000001], [0.07440000000000001, 0.0682, 0.0567]], "bitstrings": ["100010010", "100010101"], "total_optimization_steps": 10, "probabilities": [0.007103085427151351, 0.008012191851344306], "optimization_time": 7.52... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-87.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 193.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.06902538762803077) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.06902538762803077) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.06902538762803077) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(0.06902538762803077) q[2];
cx q[0], 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] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIIZII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
14.5,
6,
22.5,
20,
14.5,
-1.5,
8.5,
23.5,
8.5
] | 0.971024 | [
0.06902538762803077,
-1.3393452961497425,
0.8885669704223492,
-1.684941583646161,
-1.4324485039798671,
0.7894781332301564,
1.2549217022731878,
-1.8131259633031465,
1.439858056165493,
-0.5950565895064822,
-0.8478317544031627,
-0.18499509550347304,
-0.3500606076077326,
-1.0914618775797964,
... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -87,
"target_ratio": 0.97,
"target_value": -84.39
} | 65 |
918d0720354f72593c99e149eea5ed01 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [950, 958], "expectation_value": -3.722215428922624, "params": [0.07880000000000001, 0.1874, 0.07490000000000001, 0.1834, 0.1383, 0.1691, 0.13440000000000002, 0.1642, 0.3992, 0.028200000000000003, 0.39390000000000003, 0.053700000000000005, 0.39130000000000004, -0.014, 0.386, -0.0071, 0.3799, -0.0730000000000... | 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(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(6) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + -0.125 * (Z(6) @ Z(3) @ Z(4)) + -0.125 * (Z(... | 5 | 12 | 4 | {"smallest_eigenvalues": [-3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375], "number_of_smallest_eigenvalues": 19, "first_excited_energy": -2.9375, "smallest_bitstrings": ["001001010001", "1000010100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.11100341472157638) q[0];
ry(-0.11280279679784128) q[1];
ry(-0.20974393272431618) q[2];
ry(-0.1349667402194078) q[3];
ry(0.3439396431740829) q[4];
ry(0.530047394115224) q[5];
ry(0.3471431189969528) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
c... | 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;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZZZ",
"IIIIIIIZZIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIIIZZZIII",
"IIIIIZIZZIII",
"IIIIIZZIZIII",
"IIIIIZZZIIII",
"IIIIIZZZZIII",
"IIIIIIIIZIIZ",
"IIIIZIIIIIIZ",
"IIIZIIIII... | [
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,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,... | 0.970894 | [
-0.11100341472157638,
-0.11280279679784128,
-0.20974393272431618,
-0.1349667402194078,
0.3439396431740829,
0.530047394115224,
0.3471431189969528,
-0.015116441477203271,
-0.03682652652668659,
0.13420639771524737,
-0.3947322486300181,
0.9588753644970154,
1.1356833754499724,
-0.40692746001699... | {
"n_parameters": 42,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 39 |
20a60ed013bc1976376f734be7d8d92c | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 1, "target": 3}]} | {"states": [1965, 3501], "expectation_value": -6.999472037177982, "params": null, "bitstrings": ["100001010010", "001001010010"], "total_optimization_steps": 100, "probabilities": [0.06089639755844991, 0.8704307752137688], "optimization_time": 239.27164602279663} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 12 | 4 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -6.0, "smallest_bitstrings": ["100100010010", "100100010001", "100100001010", "010010001001", "010001100100", "010010001100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.354728125038139) q[0];
ry(-0.4482118389810244) q[1];
ry(1.1755110513092433) q[2];
ry(0.5002955961412344) q[3];
ry(0.16063370756801337) q[4];
ry(1.5622279807339) q[5];
ry(1.1768090945097947) q[6];
ry(1.5622279807339) q[7];
ry(1.5666955069360808) q[8];
ry(1.5127972... | null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.5681) q[11];\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];... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIZIIIIIIIIZ",
"IIZIIIIIZIII",
"IZIIIIIII... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.972165 | [
-0.354728125038139,
-0.4482118389810244,
1.1755110513092433,
0.5002955961412344,
0.16063370756801337,
1.5622279807339,
1.1768090945097947,
1.5666955069360808,
1.5127972230668947,
-0.024986189269166677,
0.48443925419363265,
0.015176939504703403,
-0.07719483818697466,
0.3729730085267119,
0... | {
"n_parameters": 60,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999957,
"target_ratio": 0.97,
"target_value": -19.39999999999996
} | 52 |
fca2293c2a9a83d1eeb5cc8ed6acc934 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [368, 369], "expectation_value": -2.4561873005620236, "params": [[[0.4449, 0.0001], [-0.0111, 0.007200000000000001], [0.7947000000000001, 0.34600000000000003], [0.7269, 0.5407000000000001], [0.3976, 0.5989], [0.1827, 0.30660000000000004], [-0.0228, -0.158], [0.5453, 0.5533], [0.802, 0.7216]], [[0.78970000000... | 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(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(6) @ Z(0)) + 0.0625 * (Z(0) @ Z(8)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(6) @ Z(3... | 15 | 9 | 3 | {"smallest_eigenvalues": [-3.8125, -3.8125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.8125, "smallest_bitstrings": ["010001110", "001010110"], "largest_eigenvalue": 6.1875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-3.1085452155132307) q[0];
rz(-pi) q[0];
h q[1];
ry(1.4634417096669068) q[1];
ry(-3.116011071267912) q[2];
rz(-pi) q[2];
h q[3];
ry(-1.5690578259935095) q[3];
h q[4];
ry(1.517818890375456) q[4];
cx q[4], q[0];
ry(-0.07430717905142728) q[0];
cx q[4], q[0];
ry(0.099359... | 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIIZZZIII",
"IIIIIZIIZ",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IZIIIIIIZ",
"IIZIIZIII",
"ZIIIIZIII",
"IZIIIZIII",
"ZIZIIIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIZIIZIIZ",
"ZIIIIZIIZ",
"IZIIIZIIZ",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
... | 0.998232 | [
-1.5690578259935095,
-1.4202201428075247,
1.517818890375456,
1.4634417096669068,
-0.09421059075376897,
0.14861435810285456,
0.19800617208161359,
0.05479170819511875,
0.1987183954967629,
-0.07382566291840055,
0.046895837035076146,
-0.024793505477716263
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
3f15d8a3a52bb3495503dcce203eb5e8 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 4}, {"weight": 15, "source": 1, "target": 4}, {"weight": 17, "source": 1, "target": 3}, {... | {"states": [124, 118], "expectation_value": -19.754586289798013, "params": [[0.033100000000000004, -0.0128, -0.049300000000000004], [-0.0451, -0.0102, 0.067]], "bitstrings": ["10000011", "10001001"], "total_optimization_steps": 10, "probabilities": [0.009700299265675342, 0.010589059084744504], "optimization_time": 6.73... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-79.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 174.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.18490095040635746) q[0];
rz(1.2635261740368904) q[0];
rx(0.3687010436203233) q[1];
rz(1.6439735689664445) q[1];
rx(0.7022268456495964) q[2];
rz(1.7823431104855736) q[2];
rx(1.1118749199278979) q[3];
rz(1.4509987147215941) q[3];
rx(0.06893412251554275) q[4];
rz(1.66... | 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[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIZII",
"IIZIIIZI",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
5,
20.5,
19.5,
8.5,
25,
12,
6
] | 0.970519 | [
0.18490095040635746,
-0.30727015275800573,
0.36870104362032324,
0.07317724217154742,
0.7022268456495964,
0.21154678369067664,
1.111874919927898,
-0.11979761207330228,
0.06893412251554275,
0.09437472440523963,
-0.07954573970746273,
0.19536377362600246,
0.20694865552136746,
0.155054759714475... | {
"n_parameters": 56,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 21 |
a6b81bd94db1dc24b1e0e42e6a7091b4 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 16, "source": 1, "target": 4}, {"weight": 9, "source": 2, "tar... | {"states": [238, 218], "expectation_value": -51.53494955352913, "params": null, "bitstrings": ["100010001", "100100101"], "total_optimization_steps": 100, "probabilities": [0.0851302070259091, 0.30834026822324095], "optimization_time": 169.095951795578} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 13.0 * Z(1) + 5.0 * Z(0) + 12.5 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 149.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.744140712049382) q[0];
rz(-0.0472961356517434) q[0];
rx(3.110384720259039) q[1];
rz(0.22796018602275503) q[1];
rx(3.1447279415560803) q[2];
rz(-0.5280722703690759) q[2];
rx(0.2303163344266575) q[3];
rz(-0.9377822736725943) q[3];
rx(3.117670039049346) q[4];
rz(0.530... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(8.8595) q[7];\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];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIIIZII",
"IIZIZIIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"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,
4.5,
13,
5,
12.5,
14.5,
4.5,
14,
9.5,
15.5,
2
] | 0.975861 | [
0.7441407120493821,
-0.10353319362533349,
3.110384720259039,
0.22796018602275503,
3.1447279415560803,
-0.5280722703690759,
0.2303163344266575,
-0.9377822736725943,
3.117670039049346,
0.530377326005906,
2.973122811681948,
-0.3866238784758647,
0.057713943702765926,
0.04753547702156585,
3.1... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 21 |
-5555811659655402222 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 5], [8, 2, 7], [0, 6], [3, 7], [4, 6]]} | {"states": [143, 135], "expectation_value": -1.2603946731104037, "params": [0.7641, -0.1326, 0.2001, 0.0097, 1.0068000000000001, 0.25370000000000004, 0.9955, 0.0022, 0.9951000000000001, -0.2902, 0.7696000000000001, 0.0045000000000000005, 0.9988, 0.0405, 0.2258, 0.0014, 0.9982000000000001, 0.0205, 0.233, 0.001, 0.9935, ... | 0.16666666666666666 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.16666666666666666 * (Z(7) @ Z(8)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.16666666666666666 * Z(1)... | 6 | 9 | 1 | {"smallest_eigenvalues": [-2.166666666666667, -2.166666666666667, -2.166666666666667, -2.166666666666667], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.1666666666666665, "smallest_bitstrings": ["001101100", "000001110", "100011010", "101111000"], "largest_eigenvalue": 3.4999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.29504115318587654) q[0];
rz(1.2419853042951488) q[0];
rx(2.802338285739339) q[1];
rz(2.1513699865482367) q[1];
rx(-0.2547219143237582) q[2];
rz(2.237564646989565) q[2];
rx(0.293461841833524) q[3];
rz(1.8838095808165214) q[3];
rx(0.09030201327339105) q[4];
rz(0.808... | 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[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIZI",
"IIIZIIIZI",
"ZIIZIIIII",
"ZIIIIIZII",
"ZZIIIIIII",
"IZIIIIZII",
"IIZIIIIIZ",
"IZIIIZIII",
"IIZIZIIII",
"IIIIIIIZI",
"ZIIIIIIII",
"IIIZIIIII",
"IIIIIIZII",
"IZIIIIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666663,
0,
0,
0,
0
] | 0.970091 | [
-0.2950411531858766,
-0.3288110224997482,
2.802338285739339,
0.5805736597533399,
-0.25472191432375824,
0.6667683201946669,
0.2934618418335239,
0.3130132540216254,
0.09030201327339106,
-0.7623825926973526,
2.1095259904606256,
-0.11204737047476884,
2.944780586891814,
-0.2359133473048921,
0... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -2.166666666666667,
"target_ratio": 0.97,
"target_value": -2.101666666666667
} | 99 |
5986470977810143008 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 5], [8, 7], [1, 6], [0, 2], [8, 3], [4, 6]]} | {"states": [401, 434], "expectation_value": -0.057258113346248175, "params": [[0.0688], [-0.0704]], "bitstrings": ["001101110", "001001101"], "total_optimization_steps": 10, "probabilities": [0.0021860326222323187, 0.0021860326222323187], "optimization_time": 0.5306620597839355} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(4) @ Z(6)) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(7) + 0.0 * Z(8) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["110110010", "100101110", "011010001", "100001101", "011110010", "001101110", "110010001", "001001101"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(1.047197581573115) q[0];
cx q[2], q[0];
rz(-4.076983728396044e-08) q[0];
rx(-0.7853981765894303) q[0];
rz(-4.076983728396044e-08) q[2];
rx(-0.7853981765894303) q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(1.047197581573115) q... | 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[7], q[8];
rz(x0) q[8];
cx q[7], q[8];
cx q[1], q[6];
rz(x0) q[6];
cx q[1], q[6];... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZI",
"ZZIIIIIII",
"IIZIIIIZI",
"IIIIIIZIZ",
"ZIIIIZIII",
"IIZIZIIII",
"IIIZIIIII",
"IIIIIIIZI",
"IZIIIIIII",
"ZIIIIIIII",
"IIZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.649519 | [
1.047197581573115,
-4.0769837311607643e-8,
-0.7853981765894302
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 95 |
1933e8b73d4f27169594b5a37f23f4e2 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [80, 81], "expectation_value": -4.0072946072081095, "params": [0.5049, 0.0007, 0.1482, -0.0859, 0.4974, 0.0014, 0.1179, 0.25520000000000004, 0.0587, -0.2366, -0.006200000000000001, 0.2655, 0.4383, 0.0011, 0.5023, 0.0, 0.14070000000000002, -0.0902, 0.49820000000000003, 0.007500000000000001, 0.0732, 0.1948, 0.... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + -1.5 * Z(3) + -1.0 * Z(0) + -1.0 * Z(4) + -1.5 * Z(5) + -1.5 * Z(1) + -1.0 * Z... | 4 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101110", "0001111", "1100011"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.8785617532809386) q[0];
rz(1.5021759791746723) q[0];
rx(0.18750221656773378) q[1];
rz(1.610386357447335) q[1];
rx(0.6526873554626819) q[2];
rz(1.5639732718255024) q[2];
rx(-0.012452119729280793) q[3];
rz(1.6670235805521898) q[3];
rx(0.18135410988127476) q[4];
rz(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[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZIIIZ",
"IZIZIII",
"IZIIIIZ",
"IIIZIZI",
"IIZIIZI",
"IZIIIZI",
"ZIIZIII",
"ZIZIIII",
"ZIIIIZI",
"IZIIZII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1.5,
-1.5,
-1,
0
] | 0.98096 | [
0.8785617532809387,
-0.06862034762022431,
0.18750221656773375,
0.03959003065243816,
0.6526873554626819,
-0.006823054969394506,
-0.012452119729280793,
0.09622725375729248,
0.18135410988127476,
-0.46988664665471536,
-0.0942321217772507,
0.12610127432036736,
0.7918857798860538,
-0.11918754873... | {
"n_parameters": 79,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 10 |
763530b40aee1551d1361e570f18aa92 | connected_components | adaptive_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": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 5, "target":... | {"states": [31, 415], "expectation_value": -12.846645302620301, "params": null, "bitstrings": ["111100000", "001100000"], "total_optimization_steps": 100, "probabilities": [0.14007277625711717, 0.5271394661677996], "optimization_time": 156.6249918937683} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(7)) + 1.0 * (Z(5) @ Z(7)) + -2.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(5)) + -2.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(5)) + 1.0 * (Z(8) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(2) + 0.5 * Z(7) + 0.5 ... | 5 | 9 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["001100000"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.5235877519634984) q[0];
h q[1];
cx q[1], q[0];
ry(-0.5235877519634984) q[0];
cx q[1], q[0];
ry(0.4541358506069148) q[1];
cx q[0], q[1];
ry(-0.4541358506069148) q[1];
cx q[0], q[1];
h q[2];
ry(-1.5441303935975634) q[2];
ry(-0.04134463188481584) q[3];
rz(-pi)... | null | {"node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5708) q[8], q[7];\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];\nc[5] = measure q[5];\nc... | [
"IIIIIIIZZ",
"IIIIIZZII",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"IIZIZIIII",
"IIZZIIIII",
"ZZIIIIIII",
"ZIIIZIIII",
"ZIIZIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IZIIIIIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
-1,
-1.5,
-2,
1,
-2.5,
0.5,
-2,
-2.5,
0.5,
-2,
1,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970205 | [
0.5031034179611454,
1.1602703147971543,
0.37378500182186103,
1.6155815234281254,
1.6167410174125283,
1.3638042847893481,
-1.5295251464048514,
-1.5441303935975634,
1.2697549685255556,
1.0471755039269968,
0.9082717012138296,
0.46848736271219377,
0.30542061378075086,
0.6224118654224913,
-0.... | {
"n_parameters": 37,
"n_qubits": 9,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 128 |
-115130958860663335 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 5], [4, 6], [3, 4], [0, 7], [0, 3], [0, 1], [1, 5], [8, 6], [1, 3], [6, 7], [0, 8], [8, 5], [8, 7], [0, 2], [2, 6], [3, 7], [2, 5], [4, 7], [1, 4], [3, 6], [8, 3]]} | {"states": [226, 227], "expectation_value": -0.4365960386514441, "params": [0.6962, -0.0025, 0.6855, 0.0036000000000000003, 0.7022, 0.0005, 0.6993, 0.0046, 0.7033, 0.0016, 0.7065, 0.0085, 0.6998000000000001, -0.0025, 0.6999000000000001, 0.0035, 0.6951, -0.0035, 0.6880000000000001, 0.006, 0.6947, 0.0033, 0.6965, 0.0059,... | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["100011100", "011100011"], "largest_eigenvalue": 10.5} | 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[3];
rz(0.4434510928819991) q[3];
cx q[5], q[3];
cx q[3], q[4];
rz(0.4434510928819991) q[4];
cx q[3], q[4];
cx q[5], q[1];
rz(0.4434510928819991) q[1];
cx q[5], q[1];
h q[6];
cx q[3], q[6];
rz(0.4434510928819991)... | 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[... | null | {"circuits": [], "gradients": []} | [
"IIIZIZIII",
"IIIIZZIII",
"IIZIIZIII",
"IIZIZIIII",
"IIIIIZIIZ",
"IZIIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"IZIIIIIIZ",
"IIIZIIIZI",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIIIIIZZ",
"ZIIZIIIII",
"ZIIIIZIII",
"ZIZIIIIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIZIIZII",
"IIZIIIZII",
"IIIIIIZIZ",
"... | [
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,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.400196 | [
0.4434510928819991,
-1.860111678691712e-8,
-0.6255604817366802
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 87 |
02575a12c565dc28617818fe7f0b4a99 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [161, 169], "expectation_value": -1.3492430778702957, "params": [0.39730000000000004, 0.39780000000000004, 0.18530000000000002, 0.1779, 0.4063, 0.3982, 0.30210000000000004, 0.28600000000000003, 0.403, 0.406, 0.0009000000000000001, 0.0034000000000000002, 0.2621, 0.27140000000000003, 0.399, 0.4052, 0.3992, 0.3... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(2)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4) @ Z(5) @ Z(2)) + 0.12... | 14 | 8 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.375, "smallest_bitstrings": ["01010110", "01011100", "01100110"], "largest_eigenvalue": 6.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.23507353246165305) q[0];
ry(-2.4415664310148384) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-2.4499701101813587) q[2];
h q[3];
ry(0.9227705559152606) q[3];
h q[4];
ry(-2.458330084571739) q[5];
rz(-pi) q[5];
h q[6];
ry(39.04965588622594) q[6];
cx q[6], q[5];
ry(-... | 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIZIZII",
"IIZIIZII",
"IIZZIIII",
"IIIZIZIZ",
"IIZIIZIZ",
"IIZZIIIZ",
"IIZZIZII",
"IIZZIZIZ",
"IZIZIIII",
"ZIIIIIZI",
"IZIIZIII",
"ZIIIZIII",
"ZZIIIIII",
"ZZIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZII... | [
0.5,
0.5,
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,
0.25,
0.25,
0.25,
-0.25,
-0.125,
-0.5,
-0.125,
-0.25,
-0.125,
-0.625,
-0.25,
-0.25
] | 0.971754 | [
39.04965588622594,
-5.700698017949098,
2.166064408115155,
0.9227705559152606,
0.39121486102403674,
0.6100929370927086,
0.9591104863918101,
0.19270892417635244,
-0.4759729115203181,
0.08905781936669226,
-0.26208726603383503,
-0.3379662386073564,
0.04072076886277337,
-0.19606358742522542,
... | {
"n_parameters": 63,
"n_qubits": 8,
"optimal_eigenvalue": -58.5,
"target_ratio": 0.97,
"target_value": -56.745
} | 51 |
34fec832591d56601cbd146a15fec9ed | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 4}, {"weight": 18, "source": 1, "target": 3}, {"weight": 16, "source": 1, "target": 4}, {... | {"states": [124, 122], "expectation_value": -15.260613510361708, "params": [[-0.0434, -0.0146], [0.0753, 0.0553]], "bitstrings": ["10000011", "10000101"], "total_optimization_steps": 10, "probabilities": [0.011539641116901039, 0.013307624727213545], "optimization_time": 3.1092355251312256} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 13.5 * Z(1) + 10.0 * Z(0) + 17.0 *... | 1 | 8 | 2 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 142.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.08399526504899095) q[0];
rz(0.2825788937886795) q[0];
rx(0.7951459296419685) q[1];
rz(0.2003437432581271) q[1];
rx(1.0221893354097433) q[2];
rz(-0.3092263127594003) q[2];
rx(1.0231214214866293) q[3];
rz(0.10389188217607151) q[3];
rx(0.970134509765303) q[4];
rz(0.1... | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIZII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
10,
17,
20,
13.5,
5,
5,
6
] | 0.974076 | [
-0.08399526504899095,
0.11179873042160347,
0.7951459296419685,
0.2003437432581271,
1.0221893354097433,
-0.3092263127594003,
1.0231214214866293,
0.10389188217607151,
0.970134509765303,
0.1704895690175754,
0.36114319075678797,
0.4543183591063792,
0.6989834795043587,
-0.038232563756867066,
... | {
"n_parameters": 93,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 9 |
0736b1161a5a600a3b5b1b2ae725bcb7 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [256, 255], "expectation_value": -0.6465945622175593, "params": [[-0.0714], [0.0733]], "bitstrings": ["011111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.002974408461705584, 0.003033519836983415], "optimization_time": 3.1319010257720947} | -0.75 * (Z(0) @ Z(6)) + -1.0 * (Z(1) @ Z(6)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(8)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-12.25, -12.25, -12.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -11.25, "smallest_bitstrings": ["100000000", "100000100", "100111110"], "largest_eigenvalue": 12.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-pi) q[0];
ry(-0.028963033118374542) q[0];
h q[1];
ry(0.7523113712517789) q[1];
h q[2];
cx q[2], q[1];
ry(-0.7523113712517789) q[1];
cx q[2], q[1];
ry(0.5790360660699018) q[2];
cx q[1], q[2];
ry(-0.5790360660699018) q[2];
cx q[1], q[2];
ry(0.058438774015780535) q[1];... | 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;
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[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIZIIIIIZ",
"IIZIIIIZI",
"IIZIIZIII",
"IIIIIZIZI",
"IZIIIIIZI",
"IZIIIZIII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIIIIIZZI",
"IZIIIIZII",
"ZIIIIIZII",
"IIZZIIIII",
"IIIZIZIII",
"IZIZIIIII",
"IIIZIIZII",
"IIZIZIIII",
"IIIIZZIII",
"IZIIZIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"... | [
-0.75,
-1,
-0.25,
-0.5,
-0.25,
-1,
1,
-0.75,
-0.75,
-0.5,
-0.25,
-1.25,
-1,
-0.75,
-0.75,
-0.5,
-1,
-1,
-2.25,
-0.25,
1.25,
-0.25,
-0.5,
0,
1.25,
-0.25,
1
] | 0.97806 | [
-1.573159116598947,
-1.526511268874567,
1.5964436306868186,
1.5046227425035579,
1.1580721321398035,
0.11687754803156107,
0.2275878535707746,
0.03924430621185428,
0.08743363444317828,
-0.1464961820774085
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -12.25,
"target_ratio": 0.97,
"target_value": -11.8825
} | 1 |
fe37a95fb62cde91e69aee116b6773bd | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 2}, {"weight": 11, "source": 0, "target": 4}, {"weight": 20, "source": 1, "tar... | {"states": [249, 236], "expectation_value": -27.41914998928539, "params": [[-0.0329, -0.0077, 0.0054], [0.0758, 0.0625, 0.0492]], "bitstrings": ["100000110", "100010011"], "total_optimization_steps": 10, "probabilities": [0.008644048343181053, 0.012092571290565434], "optimization_time": 6.294800281524658} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 165.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.036805554208728865) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.036805554208728865) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.036805554208728865) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.036805554208728865) q[3];
cx q[... | 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[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
21.5,
5.5,
14.5,
10,
11.5,
19.5,
16,
1,
-1.5
] | 0.980584 | [
-0.036805554208728865,
1.5653143209845872,
-1.520759303138704,
1.6043065486405803,
1.6061779043506268,
-0.9411390712476695,
1.5451499827051354,
1.6462955105064652,
-1.6219264994733438,
-1.3909117298929286,
-1.5458587504655341
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -87.5,
"target_ratio": 0.97,
"target_value": -84.875
} | 43 |
6de3ca972134e3b2df718cabf76739a9 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [33, 49], "expectation_value": -0.9981518782103481, "params": [[0.0557, 0.07, 0.07780000000000001], [-0.0367, -0.0478, -0.059000000000000004]], "bitstrings": ["011110", "001110"], "total_optimization_steps": 10, "probabilities": [0.022304455772026447, 0.025102450004274926], "optimization_time": 4.04221296310... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -2.0 * Z(4) + 0.0 * Z(1) + -1.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["001110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-2.9895735627532725) q[0];
rz(-pi) q[0];
h q[1];
ry(1.649206030902672) q[1];
cx q[1], q[0];
ry(0.020750894699326963) q[0];
cx q[1], q[0];
ry(0.06475921605593957) q[1];
ry(-0.025621518648993244) q[2];
rz(-pi) q[2];
rz(-pi) q[3];
ry(-0.08561498708161709) q[3];
h q[4];
... | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IZZIII",
"IZIIZI",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-2,
0,
-1
] | 0.9963 | [
-1.588799124059266,
-1.6939350649793659,
-1.4943029822572422,
1.649206030902672,
1.4395281306577028,
-0.10174365177732247,
-0.04150178939865393,
0.14037315026251265,
0.12951843211187913,
0.07504750220570425,
0.07097634417369998,
-0.03891395490893547,
-0.02859920646304469,
-0.09101380963563... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
-562739684955873209 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 2, 3], [0, 4], [1, 2, 3]]} | {"states": [11, 26], "expectation_value": -1.1066838741221807, "params": null, "bitstrings": ["10100", "00101"], "total_optimization_steps": 25, "probabilities": [0.05282920527697944, 0.8716279360590545], "optimization_time": 13.284672975540161} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.3333333333333333 * Z(2) + 0.16666666666666663 * Z(0) + 0.3333333333333333 * Z(3) + 0.0 * Z(4) + 0.166666666... | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.1666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.1666666666666665, "smallest_bitstrings": ["00101"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
ry(-0.26116125135550317) q[2];
cx q[1], q[2];
ry(0.26116125135550317) q[2];
cx q[1], q[2];
ry(0.3703755657815579) q[1];
ry(-0.2803148978174284) q[2];
h q[3];
ry(1.4660731929028001) q[3];
h q[4];
ry(-0.380246080628472) q[4];
cx q[0], q[4];
ry(0.38... | 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(1.2292) 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] ... | [
"IIZIZ",
"IZZII",
"IZIIZ",
"ZIIIZ",
"IIZZI",
"IZIZI",
"IIZII",
"IIIIZ",
"IZIII",
"ZIIII",
"IIIZI"
] | [
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666663,
0.3333333333333333,
0,
0.16666666666666666
] | 0.973265 | [
1.4660731929028001,
-0.760492161256944,
0.7090617696785022,
-0.4724520239301531,
0.7471179314466815,
-0.27710506220106496,
-0.5223225027110063,
-0.5606297956348568,
0.3703755657815579,
0.17660659974863097,
-0.4848547304816213,
0.459725118768273,
0.056718268876135236,
-0.27235751341700115,
... | {
"n_parameters": 24,
"n_qubits": 5,
"optimal_eigenvalue": -1.1666666666666667,
"target_ratio": 0.97,
"target_value": -1.1316666666666666
} | 7 |
3485463351510977543 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[2, 4], [2, 3], [0, 1]]} | {"states": [19, 20], "expectation_value": -0.00650861571004957, "params": [[0.031400000000000004], [-0.0347]], "bitstrings": ["01100", "01011"], "total_optimization_steps": 10, "probabilities": [0.03165811379303701, 0.03165811379303701], "optimization_time": 0.7939951419830322} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.5, "smallest_bitstrings": ["10011", "10100", "01011", "01100"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.1960618642082) q[0];
cx q[1], q[0];
rz(-2.970814794167609e-08) q[0];
rx(-0.7853981618643683) q[0];
rz(-2.970814794167609e-08) q[1];
rx(-0.7853981618643683) q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(1.1960618642082) q[2];
cx q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
rz(x1) q[4];
rz(x1) q[2];
rz(x1... | null | {"circuits": [], "gradients": []} | [
"ZIZII",
"IZZII",
"IIIZZ",
"ZIIII",
"IIZII",
"IZIII",
"IIIZI",
"IIIIZ"
] | [
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.733945 | [
1.1960618642082,
-2.970814757300776e-8,
-0.7853981618643683
] | {
"n_parameters": 3,
"n_qubits": 5,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 101 |
5453c2513a3015ff34fdf7af0c17d479 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [5, 7], "expectation_value": -3.4783427903867032, "params": [[[0.9867, 0.0083], [1.1656, 0.0068000000000000005], [1.1721000000000001, 0.0074], [1.1839, 0.0025], [1.5961, 0.0059], [1.5948, 0.0022], [1.6004, 0.0045000000000000005]]], "bitstrings": ["1111010", "1111000"], "total_optimization_steps": 160, "proba... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.006822705804027614) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.006822705804027614) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.006822705804027614) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.006822705804027614) q[3];
cx q[... | 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] 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... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
-3.25,
-3.75,
-3.25,
-3.25,
-3,
-3,
-3
] | 0.979266 | [
-0.006822705804027614,
-0.0569835674757276,
1.6413660952290756,
1.6445943010417547,
-1.210190329393257,
1.272917394365843,
0.13825878583450213,
0.06605299930301477,
-0.18109136526066744,
-0.3332332317372449,
-1.3079642609617461,
0.48354866790017953,
-0.3444589912231889,
0.9797977022594652,... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 96 |
0196429b0da7e22849832e813b6ffbfd | min_cut | adaptive_vqe | {"directed": true, "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": [{"capacity": 5, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 0, "target": 7}, {"capac... | {"states": [257, 1], "expectation_value": -15.180488689728664, "params": null, "bitstrings": ["1011111110", "1111111110"], "total_optimization_steps": 62, "probabilities": [0.16700475082134728, 0.49489320130035985], "optimization_time": 109.30446720123291} | -1.25 * (Z(0) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -2.0 * (Z(1) @ Z(6)) + -1.0 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -1.25 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(2)) + -1.5 * (Z(4) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-17.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.75, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 20.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.01451714377332614) q[0];
rz(1.567933017869171) q[0];
rx(-0.02032888722137103) q[1];
rz(1.5921707930274547) q[1];
rx(-0.12005231502450762) q[2];
rz(1.7459814652059578) q[2];
rx(-0.004760584586112621) q[3];
rz(1.567933017869171) q[3];
rx(0.1266826876956882) q[4];
r... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.2796) 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];\nc[5] = measure q[5... | [
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IIIZIIIIZI",
"IIIZIIZIII",
"IIZIIIZIII",
"IIIIIIZIZI",
"IIIIZIIZII",
"IIIZIIIZII",
"IIIIIIZZII",
"IZIIIIZIII",
"IZIIIIIZII",
"IIIIZZIIII",
"ZIIIZIIIII",
"ZIIIIIIIIZ",
"ZIZIIIIIII",
"ZIIIIZIIII",
"IIIIZIIIII",
"IIIIIIIIIZ"... | [
-1.25,
-0.5,
-1.25,
-0.75,
-2,
-1,
-1,
-0.5,
-0.75,
-1.25,
-0.25,
-1.25,
-0.75,
-1.5,
-1,
3.25,
-0.75,
-0.25,
-1,
-0.25,
0.5,
1.25,
1,
-4,
0.5,
0.5,
0.25,
1.25
] | 0.978249 | [
-0.01451714377332614,
-0.00286330892572606,
-0.02032888722137103,
0.021374466232557676,
-0.12005231502450761,
0.17518513841106048,
-0.004760584586112622,
0.12668268769568816,
0.08733852019055875,
-0.16291809049276493,
0.1992389045506872,
-0.33531949643995196,
0.7336791699499292,
2.67812021... | {
"n_parameters": 23,
"n_qubits": 10,
"optimal_eigenvalue": -17.75,
"target_ratio": 0.97,
"target_value": -17.2175
} | 8 |
47c90a1844bb68a81c49cc01fe4989e8 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 4}, {"capaci... | {"states": [235, 255], "expectation_value": -22.408249239262943, "params": null, "bitstrings": ["1100010100", "1100000000"], "total_optimization_steps": 100, "probabilities": [0.04964522535713507, 0.8088762612629546], "optimization_time": 203.50188946723938} | 0.5 * (Z(2) @ Z(4)) + 1.0 * (Z(3) @ Z(4)) + 2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + 2.0 * (Z(7) @ Z(3)) + 2.0 * (Z(7) @ Z(6)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z... | 1 | 10 | 3 | {"smallest_eigenvalues": [-24.833333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.833333333333332, "smallest_bitstrings": ["1100000000"], "largest_eigenvalue": 55.166666666666664} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.1813424485071628) q[0];
cx q[1], q[0];
rz(-0.12463552154992241) q[0];
rx(-1.2421529423468263) q[0];
rz(-0.2544248103281359) q[1];
rx(-1.2421529423468265) q[1];
cx q[1], q[0];
rz(-3.2205034676259676) q[0];
cx q[1], q[0];
rz(1.4810378... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(18.1362) q[7];\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];\nc[5] = measure q[5... | [
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIZZII",
"IIIZIIIZII",
"IIIZIIZIII",
"IIZIIIIZII",
"IIZIIIZIII",
"IIZZIIIIII",
"IIIIZIIZII",
"IIIIZIZIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"ZIIZIIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZZ",
"IIIIIZIIII",
"IIIIIIIZII"... | [
0.5,
1,
2,
0.5,
1,
1,
2,
2,
-0.5,
-1,
-0.5,
-1,
0.5,
1,
0.5,
1,
0.5,
-0.3333333333333333,
2,
4.5,
9,
5,
10,
-2,
2.5,
2.5,
-1,
-0.5
] | 0.950569 | [
0.06583836217984403,
0.02424617956702617,
0.02628092965861942,
-0.12463552154992238,
-0.25442481032813585,
-0.1813424485071628,
1.6448560843536073,
1.9812957884316302,
1.6043223553640227,
2.003992131822368,
1.9286176302370583,
1.298515420062773,
-1.2421529423468265,
-0.6759533731163639,
... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -24.833333333333336,
"target_ratio": 0.97,
"target_value": -24.088333333333335
} | 500 |
a3571c19d72a014065614d323aff3379 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [29, 30], "expectation_value": -3.9998990634532334, "params": null, "bitstrings": ["100010", "100001"], "total_optimization_steps": 25, "probabilities": [1.641445737550844e-05, 0.9999303761353144], "optimization_time": 20.547264575958252} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(3) + -1.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100001"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.362712956693458) q[0];
h q[1];
ry(-0.362712956693458) q[1];
h q[2];
ry(-0.362712956693458) q[2];
h q[3];
cx q[3], q[2];
ry(0.362712956693458) q[2];
cx q[3], q[2];
ry(-0.8545707286531208) q[2];
ry(1.2709249526324335) q[3];
h q[4];
cx q[4], q[0];
ry(0.362712... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) 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];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIZIIZ",
"IZIIIZ",
"ZIIIIZ",
"ZZIIII",
"IIIIZZ",
"ZIIZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1.5,
-0.5,
-1,
0,
0
] | 0.975572 | [
-0.725425913386916,
1.0706273462922709,
1.3425111777435603,
0.63039906660102,
-0.680705231014584,
-0.40156305610165266,
-0.260757100747384,
0.5178049646920392,
0.4005952126803254,
-0.5439106489094752,
0.08432570462335529,
-0.40927439929699994,
-0.3477309952770732,
0.042917048675201463,
-... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 20 |
-8059573654421842142 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 5], [2, 6], [1, 3, 6], [0, 1, 2], [0, 3, 6], [3, 4, 5], [1, 2, 5], [2, 4, 5], [5, 6]]} | {"states": [26, 58], "expectation_value": -2.467994305603534, "params": null, "bitstrings": ["1100101", "1000101"], "total_optimization_steps": 37, "probabilities": [0.08028524884223238, 0.7301973380005866], "optimization_time": 168.62781691551208} | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.6666666666666674, -2.6666666666666674], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.3333333333333335, "smallest_bitstrings": ["1000101", "0100101"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.011057656988734364) q[0];
h q[1];
cx q[1], q[0];
ry(0.011057656988734364) q[0];
cx q[1], q[0];
ry(0.18368240841444844) q[1];
cx q[0], q[1];
ry(0.09154995062233204) q[1];
cx q[0], q[1];
ry(-0.1752971625863851) q[0];
ry(0.26792253861641113) q[1];
h q[2];
ry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5298) q[5];\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];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIZIZ",
"IZIIZII",
"IZIIIIZ",
"ZIIIZII",
"ZIIIIIZ",
"ZZIIIII",
"IIIIZZI",
"IIIIIZZ",
"IZIIIZI",
"ZIIIIZI",
"IIIZIIZ",
"IZIZIII",
"ZIIZIII",
"IIIZIZI",
"IIZIZII",
"IZZIIII",
"IIZZIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IIZIIII"
] | [
0.3333333333333333,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
... | 0.971031 | [
1.4663431271204321,
-0.7264561765047893,
1.4543025139525996,
0.7776620911453415,
-0.6766713743369428,
0.6257249332129443,
-1.036709071748208,
-0.4230604807209331,
-0.49628452400259365,
0.17088608542986097,
-0.02211531397746873,
0.27523235903678045,
-0.18309990124466408,
-0.0850680236501091... | {
"n_parameters": 31,
"n_qubits": 7,
"optimal_eigenvalue": -2.6666666666666674,
"target_ratio": 0.97,
"target_value": -2.5866666666666673
} | 12 |
1c92797ebdc5766ffafd498d21cf8a8a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": ... | {"states": [3, 34], "expectation_value": -3.4116322463037734, "params": null, "bitstrings": ["111100", "011101"], "total_optimization_steps": 20, "probabilities": [0.06012643125725526, 0.7888196926387847], "optimization_time": 14.869879484176636} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(5) + -0.5 * Z(1) + -1.0 * Z(4) | 1 | 6 | 4 | {"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": ["111100", "001111", "101011", "110011", "101110", "011101"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3263252853866216) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.3263252853866216) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.3263252853866216) q[1];
cx q[1], q[0];
rz(-0.2868445573421025) q[0];
cx q[1], q[0];
cx q[2], q[1];
h q[3];
h... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) 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];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIZIIZ",
"ZIIZII",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"IZIZII",
"IZZIII",
"IZIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1,
-0.5,
-1
] | 0.67707 | [
0.3263252853866216,
-0.2868445573421025,
0.8549473281324195,
0.15280073471375832,
-0.09601834521733131,
0.07301194046511382,
-0.5945200247002729,
0.6127883089730268,
-0.7279343502043079,
1.0826034920116065,
0.3316483973775847,
-0.3459484728746911,
-0.416855612655761
] | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 280 |
69144809aea48cb46eae9c3950f24a15 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 2}, {"id": 0}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 0, "target": 3}]} | {"states": [3499, 3485], "expectation_value": -0.3443271920624864, "params": [[-0.0753], [0.0714]], "bitstrings": ["001001010100", "001001100010"], "total_optimization_steps": 10, "probabilities": [0.00029513018337302114, 0.00029513018337302125], "optimization_time": 4.306734323501587} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -5.25, "smallest_bitstrings": ["100001100010", "100100001010", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.12397642308111168) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.12397642308111168) q[0];
cx q[1], q[0];
rz(-1.0412824378997723) q[0];
rx(-0.6835570607299903) q[0];
rz(0.6551677416149957) q[1];
rx(-0.6835570607299903) q[1];
rz(-1.0... | 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;
bit[12] c;
qubit[12] 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];
h q[9];
h q[10];
h q[11];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIZZIIIIII",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIZIIZIIIIII",
"IIZIIIIIIIIZ",
"IZIIZIIIIIII",
"IZIIIIIIIIZI",
"IZZIIIIIIIII",
"ZIIZIIIII... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.75,
0.75,
0.75,
1,
1,
1,
0.75,
0.75,
0.75,
1,
1,
1
] | 0.983631 | [
0.12397642308111168,
-1.0412824378997723,
0.6551677416149958,
-0.6835570607299902,
0.023146836072959226,
-0.5048269617904716,
0.6814886991250588,
-0.7325852103426811,
0.006386053532258323,
-0.47655542685563346,
0.11597712833781966,
-0.2813397718212035
] | {
"n_parameters": 12,
"n_qubits": 3,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
cde6b48ed870286595c1455af7aff8bd | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [1, 0], "expectation_value": -1.7419606411298552, "params": null, "bitstrings": ["110", "111"], "total_optimization_steps": 4, "probabilities": [0.003943316176215607, 0.9919772858285041], "optimization_time": 1.503418207168579} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0) @ Z(1)) + -0.75 * Z(0) + -0.75 * Z(1) + -0.75 * Z(2) | 1 | 3 | 4 | {"smallest_eigenvalues": [-1.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.75, "smallest_bitstrings": ["111"], "largest_eigenvalue": 3.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.5486) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.5486) q[0];\nry(-1.4449)... | [
"IZZ",
"ZIZ",
"ZZI",
"ZZZ",
"IIZ",
"IZI",
"ZII"
] | [
0.25,
0.25,
0.25,
-0.25,
-0.75,
-0.75,
-0.75
] | 0.989 | [
1.5946656311860272,
1.4546236341953724,
-1.3915392123108226,
-1.043543998175015,
-0.7696115407594695,
0.5858465026550362,
0.5980335866172003,
-0.5311148471859957,
0.6361651825545125,
-0.4145474599646862,
-0.39359418429255133,
-0.3850745616697103,
-0.5256664875247946,
-0.3291045904565906,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 1 |
-3581693601299271706 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2, 3, 5, 7], [4, 5, 7], [0, 2, 5, 6, 7], [0, 1, 3, 4], [0, 3, 5, 6, 7]]} | {"states": [123, 126], "expectation_value": -0.3545121159455946, "params": [[-0.2713], [0.2674]], "bitstrings": ["10000100", "10000001"], "total_optimization_steps": 30, "probabilities": [0.005869822455732893, 0.005869822455732894], "optimization_time": 15.783158302307129} | 0.11666666666666667 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333334 * (Z(2) @ Z(0)) + 0.11666666666666667 * (Z(3) @ Z(1)) + 0.16666666666666669 * (Z(3) @ Z(0)) + 0.03333333333333333 * (Z(3) @ Z(2)) + 0.03333333333333333 * (Z(5) @ Z(1)) + 0.13333333333333336 * (Z(5) @ Z(0)) + 0.08333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.1833333333333336, -1.1833333333333336], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.1833333333333333, "smallest_bitstrings": ["10000100", "10000001"], "largest_eigenvalue": 5.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.013217987133603655) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.013608784527321907) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.005320608065353539) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.013217987133603655) q[3];
cx 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZZIII",
"IIZZIIII",
"ZIIZIIII",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZII... | [
0.11666666666666667,
0.03333333333333333,
0.08333333333333334,
0.11666666666666667,
0.16666666666666669,
0.03333333333333333,
0.03333333333333333,
0.13333333333333336,
0.08333333333333334,
0.08333333333333334,
0.03333333333333333,
0.13333333333333336,
0.08333333333333334,
0.083333333333333... | 0.970308 | [
-0.013217987133603655,
0.013608784527321907,
-0.005320608065353539,
-0.0200314736213199,
-0.010184860788131148,
0.004815153937559192,
-0.013455117187226681,
0.024785620318910732,
-1.5998786245158712,
-1.5752007651751403,
1.6107433244059037,
-1.7209672998767436,
-1.5353940925956115,
1.59296... | {
"n_parameters": 16,
"n_qubits": 8,
"optimal_eigenvalue": -1.1833333333333336,
"target_ratio": 0.97,
"target_value": -1.1478333333333335
} | 137 |
66f75df6a73731ca3dfcd77bd9b8f9a8 | connected_components | 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": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7}]} | {"states": [0, 111], "expectation_value": -2.9096250855826304, "params": [0.5581, 0.8607, -0.5202, 1.0395, 0.5496, 1.0517, -0.41140000000000004, 1.0476, -0.5047, 0.8833000000000001, -0.081, 0.447, -0.6058, 1.0695000000000001, 0.4459, 1.0284, -0.5832, 1.0717, 0.5341, 0.9596, -0.5548000000000001, 1.0557, 0.5213, 0.401900... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(5) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + -0.5 * Z(2) | 6 | 7 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["0010000"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.5948060088334446) q[0];
rz(2.75476497416349) q[0];
rx(1.1536880317161984) q[1];
rz(-2.5506922440046464) q[1];
rx(-0.3980453346676857) q[2];
rz(2.6285697961866923) q[2];
rx(-2.1859488611686606) q[3];
rz(-3.0403900431441846) q[3];
rx(-1.6370190111416911) q[4];
rz(2.9... | 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] x19;
input float[64] x2;
input float[... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IIIZIII",
"ZIIIIII",
"IZIIIII",
"IIIIZII"
] | [
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970969 | [
1.5948060088334446,
1.1839686473685938,
1.1536880317161984,
2.1616967363800432,
-0.39804533466768566,
1.0577734693917953,
-2.1859488611686606,
1.671998937240505,
-1.6370190111416911,
1.3936221263282822,
-0.3367839141949689,
0.20393829066176794,
-1.0278306138913633,
1.9705848592071784,
0.... | {
"n_parameters": 69,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 212 |
5f46e3caaa931f446d5d37e76f941f6b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6... | {"states": [65, 1], "expectation_value": -12.999993510485895, "params": null, "bitstrings": ["0111110", "1111110"], "total_optimization_steps": 19, "probabilities": [6.489458717164528e-07, 0.9999993510435916], "optimization_time": 13.347952127456665} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(0)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(5)) + -1.0 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(2)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.5 ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-0.05661121897376136) q[0];
h q[1];
ry(-1.604518163982522) q[1];
h q[2];
ry(-1.604518163982522) q[2];
h q[3];
ry(-1.604518163982522) q[3];
h q[4];
ry(-1.604518163982522) q[4];
h q[5];
ry(-1.604518163982522) q[5];
h q[6];
ry(1.5022165539344468) q[6];
cx ... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[6];\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];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIZIIIZ",
"IZIIIZI",
"IZIIIIZ",
"ZIIIIIZ",
"ZZIIIII",
"IIIIZZI",
"IIZIZII",
"IZIIZII",
"IIZZIII",
"ZIIZIII",
"IIIZZII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII"
] | [
-0.75,
-0.25,
-0.75,
-1.25,
2.5,
-0.75,
-0.75,
-1.25,
-1.25,
-1,
-0.25,
-1.25,
-0.75,
-0.25,
-0.5,
0.5,
1.5,
-1,
0.5
] | 0.997589 | [
1.5022165539344468,
-1.604518163982522,
-0.04577876357227252
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 1 |
2c8b5e62fb9d039c085942be0198f7b7 | 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}, {"id": 9}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 7}, {"weight": 19, "source": 1, "target": 8}, {"weight":... | {"states": [551, 549], "expectation_value": -36.51051466874539, "params": [[[0.9905, 0.0028], [0.3568, -0.3291], [0.3704, 0.3145], [0.20320000000000002, 0.3911], [1.0027000000000001, 0.0026000000000000003], [0.7262000000000001, 0.1278], [0.0025, 0.47200000000000003], [0.9952000000000001, -0.0007], [0.7819, -0.090400000... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(2)) + 5.5 * (Z(9) @ Z(5)) + 5.5 * (Z(9) @ Z(8)) + -4.5 * Z(1) + -2.5 * Z(0) + -4.0 *... | 1 | 10 | 2 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.0, "smallest_bitstrings": ["0111011010"], "largest_eigenvalue": 93.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rz(-2.901067400418797) q[0];
ry(2.959039753742757) q[0];
rz(0.36346592434171043) q[0];
rz(-1.309175495372003) q[1];
ry(0.22931723713891222) q[1];
rz(0.8482914484887196) q[1];
rz(0.660203504224083) q[2];
ry(0.16117646609486014) q[2];
rz(0.5296776732865274) q[2];
rz(-2.7... | 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[... | {"matching": "maximum", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIIZIZIII",
"IIZIIIIIZI",
"IIZIIZIIII",
"IZIIIIIZII",
"IZZIIIIIII",
"ZIIIIIIZII",
"ZIIIZIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIZIIIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
-4.5,
-2.5,
-4,
5.5,
-4,
-3,
0.5,
-1,
4.5,
-13
] | 0.970508 | [
1.2254345630589774,
0.19124210845238046,
-0.6221055699447862,
-0.14998548771762832,
0.2575587368338317,
0.6815714362952607,
-0.5331249927591307,
0.4697366914122098,
1.072576059032011,
-0.03669171261329733,
0.08717348093655672,
-0.11107297347075809,
-0.3413866847234776,
0.34500073665405223,... | {
"n_parameters": 38,
"n_qubits": 10,
"optimal_eigenvalue": -76,
"target_ratio": 0.97,
"target_value": -73.72
} | 31 |
07711decd763638f61c96bf55a279a91 | 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": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 0, "target":... | {"states": [29, 285], "expectation_value": -7.235355698438375, "params": [0.0059, 0.0018000000000000002, 0.8064, 0.8109000000000001, -0.004, -0.0039000000000000003, -0.0074, -0.0102, 0.0049, 0.0038, 0.8048000000000001, 0.8085, 0.8075, 0.8094, 0.8104, 0.8104, 0.7604000000000001, 0.75, 0.799, 0.7996000000000001, 0.0511, ... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.5, "smallest_bitstrings": ["1011100001", "1011100010"], "largest_eigenvalue": 23.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.3605941314168054) q[0];
rz(pi/2) q[0];
ry(1.8087977261735202) q[1];
ry(0.0465975224455393) q[2];
ry(0.22029236559701143) q[3];
ry(-0.1332865716489882) q[4];
ry(1.6803990024069089) q[5];
ry(1.4780174340605723) q[6];
ry(1.6671878377786338) q[7];
ry(2.19170847270816... | 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIZIZII",
"IIIIIZIIIZ",
"IIIZIIIIIZ",
"IZIIIIIZII",
"IZIIIIIIIZ",
"IZIIIZIIII",
"ZIIIIIIIIZ",
"ZZIIIIIIII",
"IIIIIIIZZI",
"IIIIIZIIZI",
"IIIIIIZZII",
"IIIIIZZIII",
"IZIIIIZIII",
"ZIIIIIZIII",
"IIIIIIZIZI",
"IIZIIIIZII",
"IIZIIZIIII",
"IIIIZZIIII",
"IIIIIIIZII"... | [
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,
0.5,
0.5,
0.5,
0.5,
-2.5,
-2,
-3,
0,
-2,
-1,
-1,
-2,
-0.5,
0
] | 0.977124 | [
-0.3605941314168054,
1.8087977261735202,
0.0465975224455393,
0.22029236559701143,
-0.1332865716489882,
1.6803990024069089,
1.4780174340605723,
1.6671878377786338,
2.1917084727081644,
-0.00769044064558134,
-0.6451495443166952,
-0.5209707767507142,
0.5437900645465378,
0.4483744826032517,
0... | {
"n_parameters": 38,
"n_qubits": 10,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 43 |
5bb3f230f56ac9bab802a8146772ac94 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [2, 3], "expectation_value": -26.207535775614005, "params": [0.049600000000000005, 0.25980000000000003, 0.059000000000000004, 0.2836, 0.05, 0.28350000000000003, 0.0488, 0.2646, 0.027800000000000002, 0.2869, 0.4937, 0.1729, 0.47940000000000005, 0.1625, 0.0543, 0.2612, 0.0492, 0.2856, 0.055600000000000004, 0.2... | 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(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 3 | 7 | 4 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(1.3575967410398402) q[0];
ry(0.23056017395815415) q[0];
rz(-2.1527971274231117) q[0];
rz(2.1944677167826203) q[1];
ry(0.05030497465019496) q[1];
rz(-2.8091255821394294) q[1];
rz(-1.511568472926434) q[2];
ry(0.04553382172753725) q[2];
rz(1.3964510322511128) q[2];
rz(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[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
2.75,
-10,
-10,
-10,
-10,
-10.25,
-9.5,
-9.25
] | 0.980973 | [
0.09085077104571271,
-0.39163003103168686,
0.029002652567583387,
-0.17994215576337833,
-0.023964673237098832,
-0.028853264432669792,
-0.16848169343109856,
-0.14065021757364785,
-0.17872212893725806,
-0.4178187803775564,
0.8594119505040079,
-0.03397819378386626,
0.7387488080723611,
-0.03214... | {
"n_parameters": 37,
"n_qubits": 7,
"optimal_eigenvalue": -31,
"target_ratio": 0.97,
"target_value": -30.07
} | 9 |
f3708375ba6fa9c71edbcd23f9c9eca4 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 3}]} | {"states": [0, 7], "expectation_value": -1.7695275440355203, "params": [[[-0.0014, -0.0, 0.0038, 0.003], [0.002, 0.0, 0.0021000000000000003, 0.0081], [0.0025, 1.1419000000000001, 0.0025, 0.0034000000000000002], [1.6099, 0.0037, 0.009600000000000001, 0.0014]]], "bitstrings": ["1111", "1000"], "total_optimization_steps":... | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + 0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.0 * Z(1) + -0.25 * Z(3) | 11 | 4 | 1 | {"smallest_eigenvalues": [-2.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.25, "smallest_bitstrings": ["1000"], "largest_eigenvalue": 2.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
ry(-1.010121423472979) q[0];
h q[1];
ry(0.7853982035792615) q[1];
h q[2];
ry(1.5707956806528132) q[2];
h q[3];
cx q[3], q[1];
ry(-0.7853982035792615) q[1];
cx q[3], q[1];
ry(0.6154796274137422) q[3];
cx q[1], q[3];
ry(-0.6154796274137422) q[3];
cx q[1], q[3];
cx... | 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;
input float[64] x8;
input float[64] x9;
bit[4] c;
qubit[4] q;
ry(x0) q[0];
rz(x1) q[0];
ry(x2) q[1];
rz(x1) q[1];
ry(x3) q... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IZIZ",
"IZZI",
"ZZII",
"ZIIZ",
"ZIZI",
"IZII",
"IIIZ",
"IIZI",
"ZIII"
] | [
-0.5,
-0.5,
-0.5,
0.75,
-0.5,
0.5,
-0.25,
0,
-0.25
] | 0.888889 | [
1.5707956806528132,
1.570796407158523,
1.2309592548274844,
-2.020242846945958,
0.5024058852687302,
-1.1213498565529063,
1.0683905653844339,
6.544803761639136e-7,
-0.07539900701000271,
-0.09494170503749731,
-1.3610082431868337e-7,
0.0949418225997358,
0.07539895788259901,
-4.123984436099256e... | {
"n_parameters": 15,
"n_qubits": 4,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 287 |
079a46f6f9017cc69fbdca9bbb9f3f00 | 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}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [0, 15], "expectation_value": -2.090715262261225, "params": [0.2616, 0.5567, 0.45930000000000004, -0.4948, 0.39440000000000003, -0.5042, 1.2878, -0.5882000000000001, 1.3015, -0.00030000000000000003, 1.3122, 0.004, 1.1524, 0.0036000000000000003, 1.3129, 0.0053, 0.1645, 0.2787, -0.0981, -0.07350000000000001, 1... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(3) + -1.0 * Z(0) + -1.0 * Z(6) + 0.0 * Z(7) + -0.5 * Z(1) + -0.5 * Z(4) + -0.5 * Z(2) + 0.0 * Z(5) | 4 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["11110000", "10101010", "10001110", "11100010"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.13665405952846868) q[0];
rz(1.6926777640427222) q[0];
rx(-0.09386828959391537) q[1];
rz(1.7399696543037937) q[1];
rx(0.17194231760631787) q[2];
rz(1.4449683210699753) q[2];
rx(0.1625307276245896) q[3];
rz(1.1826800013963776) q[3];
rx(1.4006292331794137) q[4];
rz(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[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IZIIZIII",
"IZIIIIIZ",
"ZIIIIIIZ",
"IZIIIIZI",
"IIIZIIZI",
"IIIZIZII",
"IIZIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IIIIIZII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1,
0,
-0.5,
-0.5,
-0.5,
0
] | 0.974394 | [
-0.13665405952846865,
0.12188143724782516,
-0.09386828959391538,
0.16917332750889677,
0.17194231760631784,
-0.12582800572492173,
0.1625307276245896,
-0.38811632539851915,
1.4006292331794137,
0.01562800948302868,
1.7203059390081858,
-0.11064069742961265,
2.2766241693622007,
0.27873596997111... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 26 |
d69fa5e96a291c9842cf6b612c269a84 | matching | 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}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 19, "source": 1, "target": 7}, {"weight": 18, "source": 1, "target": 8}, {"weight": 7, "source... | {"states": [227, 211], "expectation_value": -40.63712806665075, "params": [[-0.0281], [0.2576]], "bitstrings": ["100011100", "100101100"], "total_optimization_steps": 30, "probabilities": [0.012906622046420048, 0.013985154556356752], "optimization_time": 2.326683282852173} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(8) @ Z(7)) + 19.5 * Z(1) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-92.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "smallest_bitstrings": ["100101100"], "largest_eigenvalue": 184.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.05496967116563736) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.05496967116563736) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.05496967116563736) q[2];
cx q[0], q[2];
rz(1.1598491024488613) q[0];
rx(1.5374085613146133) q[0];
h q[3];
... | 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;
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[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIZIIIIZI",
"IZIIIIZII",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
19.5,
1.5,
24,
16.5,
-1.5,
6,
16.5,
23,
-9
] | 0.979329 | [
0.05496967116563736,
-1.6661449980936365,
1.1598491024488615,
-1.4683133591167894,
-1.528959635786404,
1.2450984923812887,
1.4938312447848585,
-1.7523187194853114,
1.4331818599623176,
1.5374085613146133
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -92.5,
"target_ratio": 0.97,
"target_value": -89.725
} | 40 |
27c408f36f3749a0af3ff77dddb9a6ea | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [598, 854], "expectation_value": -2.2367947525672367, "params": [0.9, -0.0056, 0.6447, 0.17270000000000002, 0.2096, 0.4092, 0.8978, 0.1471, 0.2918, 0.3047, 0.8701000000000001, 0.2096, 0.1913, 0.3613, 0.8954000000000001, 0.1506, 0.9058, 0.0008, -0.005200000000000001, 0.5628000000000001, 0.8957, -0.0687, 0.632... | 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(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 16 | 10 | 3 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 20, "first_excited_energy": -2.125, "smallest_bitstrings": ["0011000011", "0101000110", "0100010101... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.9832797652129619) q[0];
rz(-0.5770519755710892) q[0];
rx(1.4565290876916401) q[1];
rz(-0.46357754977916055) q[1];
rx(0.14127281389752583) q[2];
rz(0.5906818059308248) q[2];
rx(0.7909678010704663) q[3];
rz(-0.14857853309057878) q[3];
rx(-0.29147635421597956) q[4];
... | 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIIZZIIZ",
"IIIIZIZIIZ",
"IIIIZZIIIZ",
"IIIIZZZIII",
"IIIIZZZIIZ",
"IIIIIIZIZI",
"IIIZIIIIZI",
"IIIZIIZIII",
"IIIZIIZIZI",
"IIIIIZIZII"... | [
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,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0,
0,
0.125,
0.125,
0.125,
0,
-0.25,
-0.25,
... | 0.97426 | [
0.983279765212962,
-0.4420056947976079,
1.4565290876916401,
-0.46357754977916055,
0.14127281389752583,
0.5906818059308248,
0.7909678010704663,
-0.14857853309057878,
-0.29147635421597956,
0.024912261802634193,
1.0258909533899938,
0.15590237079349717,
0.011543723248921299,
0.4382288038755616... | {
"n_parameters": 119,
"n_qubits": 10,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 34 |
9a45eb902a3c7549ff4006616ccdcfc8 | 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}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capac... | {"states": [0, 1], "expectation_value": -12.125582062210686, "params": [0.0036000000000000003, -0.1789, 0.0025, -0.24500000000000002, 0.0029000000000000002, -0.2881, 0.0023, -0.2888, 0.0023, -0.2974, 0.0015, -0.29610000000000003, 0.0034000000000000002, -0.2549, 0.0004, -0.2936, 0.0029000000000000002, -0.2788, -0.0001, ... | -0.75 * (Z(0) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(5)) + 2.5 * (Z(9) @ Z(0)) + -0.75 * (Z(9) @ Z(7)) + -0.25 * (Z(1) @ Z(9)) + -0.5 * (Z(2) @ Z(7)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(8) @ Z(3)) + -0.75 * (Z(8)... | 5 | 10 | 2 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.0465487591115182) q[0];
rz(-0.054586847491374435) q[0];
rx(-0.1985214495657038) q[1];
rz(-0.2908425867473188) q[1];
rx(0.041566599408337825) q[2];
rz(-0.41867102060429406) q[2];
rx(-0.04510065459496522) q[3];
rz(-0.33921164260759795) q[3];
rx(-0.1985214495657038) ... | 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[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIZZIIIII",
"IIZIIIZIII",
"IIZIIIIIIZ",
"IIZIZIIIII",
"ZIIIIIIIIZ",
"ZIZIIIIIII",
"ZIIIIIIIZI",
"IIZIIIIZII",
"IIIIIIIZZI",
"IZIIIIZIII",
"IZIZIIIIII",
"IIIIIZZIII",
"IIIZIZIIII",
"IIZIIZIIII",
"IIIIIZIIZI",
"IIIIIZIZII",
"IZIIIZIIII"... | [
-0.75,
-0.5,
-0.25,
-1.25,
-0.5,
-0.75,
-0.25,
2.5,
-0.75,
-0.25,
-0.5,
-0.75,
-0.25,
-0.75,
-0.75,
-0.75,
-0.5,
-0.75,
-0.5,
-0.75,
-1.75,
-0.25,
-0.5,
0.5,
-0.75,
1.5,
-1.25,
0.75,
-0.25,
2
] | 0.975615 | [
0.046548759111518206,
-0.17727737910191446,
-0.1985214495657038,
-0.3451553415868192,
0.04156659940833782,
-0.511083414233237,
-0.04510065459496522,
-0.36200251669947886,
-0.16440122497836326,
-0.023637616417306703,
-0.09876188395144314,
-0.08558001511529911,
-0.3402928357446867,
0.0750531... | {
"n_parameters": 85,
"n_qubits": 10,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 6 |
74f901e921e304abad28a5ed7b0926c0 | 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}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 8}, {"capac... | {"states": [511, 447], "expectation_value": -19.215172961076245, "params": [[[-0.038400000000000004, 0.0887], [0.0017000000000000001, 0.0025], [1.1307, -0.0034000000000000002], [-0.4254, 0.0016], [-0.0037, -0.0061], [0.0061, 0.0024000000000000002], [-0.0028, 0.0027], [-0.005, 0.0036000000000000003], [0.8479, -0.7437], ... | -1.0 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -1.25 * (Z(8) @ Z(1)) + -0.25 * (Z(8) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -2.25 * (Z(4) @ Z(8)) + -1.25 * (Z(9) @ Z(1)) + 2.5 * (Z(9) @ Z(0)) + -0.75 * (Z(2) @ Z(9)) + -1.0 * (Z(7) @ Z(3)) + -1.5 * (Z(7) @ Z(8)) + -1.25 * (Z(7) @ Z(4)) + -1.25 * (Z(7) @... | 15 | 10 | 4 | {"smallest_eigenvalues": [-19.75, -19.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -18.75, "smallest_bitstrings": ["1001000000", "1101100110"], "largest_eigenvalue": 21.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.036042739822167595) q[0];
ry(-0.17893475468637604) q[1];
ry(1.2982496268956174) q[2];
ry(-0.963969021770557) q[3];
ry(-0.14894351397926373) q[4];
ry(-0.03043334436765529) q[5];
ry(0.016995100417888785) q[6];
ry(-0.05619499863901474) q[7];
ry(0.5228352571244398) q... | 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[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IZIIIIIIZI",
"IZIIIIIIIZ",
"IIIIIZIIZI",
"IZIIIZIIII",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"IIZIIIZIII",
"IZZIIIIIII",
"IIZIIZIIII",
"IIZIIIIZII",
"IIIIZIIIZI",
"IIIIZIZIII",
"ZIIIZIIIII",
"IIZIZIIIII",
"IZIZIIIIII",
"ZIIZIIIIII"... | [
-1,
-0.25,
-1,
-1.25,
-0.25,
-1,
-2.25,
-1.25,
2.5,
-0.75,
-1,
-1.5,
-1.25,
-1.25,
-1,
-1.25,
-0.75,
-0.75,
-0.5,
-1,
-1,
0.75,
-0.25,
-2,
-1.75,
-1.5,
-1.25,
2,
0.25,
2.25,
1.5
] | 0.970662 | [
-0.036042739822167595,
-0.17893475468637604,
1.2982496268956174,
-0.963969021770557,
-0.14894351397926373,
-0.03043334436765529,
0.016995100417888785,
-0.05619499863901474,
0.5228352571244398,
0.11182073503384593,
0.1327126520369019,
-0.053236164440204396,
-0.016506275732190052,
-0.0588235... | {
"n_parameters": 74,
"n_qubits": 10,
"optimal_eigenvalue": -19.75,
"target_ratio": 0.97,
"target_value": -19.1575
} | 52 |
5456342727672526107 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 4, 6, 7], [1, 2, 3, 6, 7], [1, 5]]} | {"states": [225, 233], "expectation_value": -0.7981082510697519, "params": null, "bitstrings": ["00011110", "00010110"], "total_optimization_steps": 62, "probabilities": [0.1181530670862204, 0.14091266356744617], "optimization_time": 88.18593835830688} | 0.05 * (Z(0) @ Z(2)) + 0.05 * (Z(4) @ Z(2)) + 0.05 * (Z(4) @ Z(0)) + 0.1 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(4)) + 0.1 * (Z(7) @ Z(2)) + 0.05 * (Z(7) @ Z(0)) + 0.05 * (Z(7) @ Z(4)) + 0.1 * (Z(7) @ Z(6)) + 0.05 * (Z(1) @ Z(2)) + 0.05 * (Z(1) @ Z(6)) + 0.05 * (Z(1) @ Z(7)) + 0.05 * (Z(3) @ Z(2)) + 0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
ry(0.8821301753411058) q[2];
h q[3];
ry(-0.13435131238079112) q[3];
h q[4];
h q[5];
ry(-0.454101377641599) q[5];
cx q[1], q[5];
ry(0.454101377641599) q[5];
cx q[1], q[5];
ry(1.308558906900631) q[1];
cx q[2], q[1];
ry(-0.11722361329512324) q[1];
c... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[1], q[5];\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];\nc[5] = measure q[5];\nc[6] = me... | [
"IIIIIZIZ",
"IIIZIZII",
"IIIZIIIZ",
"IZIIIZII",
"IZIIIIIZ",
"IZIZIIII",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIZZI",
"IZIIIIZI",
"ZIIIIIZI",
"IIIIZZII",
"IZIIZIII",
"ZIIIZIII",
"IIIIZIZI",
"IIZIIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"ZIIIIII... | [
0.05,
0.05,
0.05,
0.1,
0.05,
0.05,
0.1,
0.05,
0.05,
0.1,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.5,
0.2,
0.1,
0.1,
0.2,
0.2,
0.09999999999999998,
0.1,
0
] | 0.971708 | [
-0.908202755283198,
1.1913352936055075,
-0.8104383148105451,
0.8821301753411058,
0.23444722659024647,
-0.10774965795148661,
0.6238827988320025,
0.6521491247914535,
0.1697104363615397,
0.4324658940662753,
-0.24166017296348363,
0.4681397034993865,
-0.26870262476158224,
-0.400097868069685,
... | {
"n_parameters": 59,
"n_qubits": 8,
"optimal_eigenvalue": -0.8999999999999999,
"target_ratio": 0.97,
"target_value": -0.8729999999999999
} | 27 |
79dbb46672568dd6da53fdf988683370 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 2, "source": 0, "t... | {"states": [180, 148], "expectation_value": -28.153409750582412, "params": [[[0.5955, -0.0011], [-0.0018000000000000002, 0.4631], [0.3846, -0.0892], [0.5947, -0.0011], [0.18150000000000002, -0.2073], [0.6002000000000001, 0.0021000000000000003], [0.1693, -0.2265], [0.185, 0.2053]], [[0.6011000000000001, -0.0012000000000... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + -10.0 * Z(1) + 3.5 * Z(0) + -5.5 * Z(4) + 3.0 * Z(2) + 2... | 1 | 8 | 4 | {"smallest_eigenvalues": [-42.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -40.5, "smallest_bitstrings": ["01101011"], "largest_eigenvalue": 60.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-0.14739604000192053) q[0];
ry(3.019875982413196) q[0];
rz(3.133045858754553) q[0];
rz(0.14681821349369484) q[1];
ry(0.16625292729472163) q[1];
rz(1.4294168654831019) q[1];
rz(1.2186812571693961) q[2];
ry(0.32253940399967884) q[2];
rz(-1.632413822773313) q[2];
rz(0.0... | 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIZI",
"IIIIIZIZ",
"IIIZIZII",
"IIIZZIII",
"IIIIZZII",
"IIZIIIIZ",
"IIZIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
-10,
3.5,
-5.5,
3,
2,
3.5,
-2,
-1
] | 0.976253 | [
0.7464408162705116,
-0.033729247253251216,
-0.11552461607907104,
0.5196528554019153,
0.0886254211082439,
-0.17444899387284873,
0.8983531351940277,
0.003628901528802731,
-0.29980800833140264,
0.7491406770668805,
-0.004650044602488298,
0.13723474935698732,
-0.19427224913628832,
0.18990325270... | {
"n_parameters": 54,
"n_qubits": 8,
"optimal_eigenvalue": -42.5,
"target_ratio": 0.97,
"target_value": -41.225
} | 14 |
c12dc8bfc0d8e8bc2e65cda825a741ab | min_cut | adaptive_vqe | {"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": [4, 1], "expectation_value": -1.686402215115311, "params": null, "bitstrings": ["011", "110"], "total_optimization_steps": 8, "probabilities": [0.13254251138207834, 0.8435861677590577], "optimization_time": 2.32735013961792} | -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 | 1 | {"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(0.5702754... | null | {"source": 0, "sink": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\ncry(-1.4449) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\ncry(-1.4449) q[2], q[0]... | [
"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.... | {
"n_parameters": 15,
"n_qubits": 3,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 68 |
171e704e65359d5a57d8a8e54db87dfb | min_cut | adaptive_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": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 2, ... | {"states": [55, 53], "expectation_value": -11.499999939041139, "params": null, "bitstrings": ["11001000", "11001010"], "total_optimization_steps": 45, "probabilities": [4.0034557302040344e-08, 0.9999999557875574], "optimization_time": 55.50649881362915} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(6)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + 1.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(7) @... | 1 | 8 | 1 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["11001010"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-1.6082126260244147) q[0];
rz(-pi) q[1];
ry(-0.004965084752792572) q[1];
h q[2];
ry(1.6210136409714537) q[2];
h q[3];
ry(0.8105068204857269) q[3];
cx q[2], q[3];
ry(-0.8105068204857269) q[3];
cx q[2], q[3];
h q[4];
ry(-0.7621435308680935) q[4];
h q[5];
ry(0.7... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) 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];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIZIIIZ",
"IZIIIIIZ",
"IZIZIIII",
"IIIIIZZI",
"IZIIIZII",
"IIIIZIZI",
"IIIZZIII",
"IIIIZZII",
"IIZZIIII",
"IIZIIZII",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-0.5,
-0.25,
-0.75,
-0.5,
-0.75,
-0.75,
-0.25,
-0.5,
-1.5,
-0.5,
-0.75,
1.75,
-0.5,
-0.75,
-1.5,
-0.25,
-1.75,
-0.5,
2.25,
0.75,
0.5,
0.5
] | 0.99781 | [
1.6210136409714537,
1.5990030881178423,
-1.6082126260244147,
-1.524287061736187,
-1.4755763315842598,
-0.1627329857583258,
-0.10294869962300437,
-0.037105240853477536,
-0.0004364816468758982,
-0.1376101076604341
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 1 |
dd1ea2ee61722851179474867130abf8 | 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}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "... | {"states": [4095, 4094], "expectation_value": -1.1211952972768495, "params": [[-0.062400000000000004], [0.0656]], "bitstrings": ["000000000000", "000000000001"], "total_optimization_steps": 10, "probabilities": [0.0004090191313724419, 0.00041574804598615387], "optimization_time": 2.795790910720825} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 1.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * (Z(7) @ Z(9)) + 0.5 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(7)) + -1.5 * (Z(10) @ Z(8)) +... | 1 | 12 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["000000000001"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
ry(0.8678033057838501) q[1];
h q[2];
ry(0.15768528901504372) q[2];
cx q[0], q[2];
ry(-0.15768528901504372) q[2];
cx q[0], q[2];
ry(1.3920258601889957) q[0];
h q[3];
ry(0.8678033057838501) q[3];
cx q[2], q[3];
ry(-0.8678033057838501) q[3];
cx q[2], q[3];... | 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;
bit[12] c;
qubit[12] 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];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | {"node": 12} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIIIZZIIII",
"IIIIIZZIIIII",
"IIIIIZIZIIII",
"IIZIZIIIIIII",
"IIZZIIIIIIII",
"IZZIIIIIIIII",
"IZIIZIIIIIII",
"IZIZIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIIIZ... | [
-2,
-2,
-2,
1,
-2,
-2,
-1.5,
-1.5,
0.5,
-1.5,
0.5,
-2,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970048 | [
0.31537057803008745,
1.7356066115677002,
2.7840517203779913,
-1.673801589818186,
-1.4066420630205232,
3.772618526745687,
-0.07958173601447661,
1.5451378518628716,
0.07205754861967331,
1.5863365122132245,
3.5191008850442826,
2.8988101018583095,
-0.12396038140207942,
1.362697080264161,
3.2... | {
"n_parameters": 65,
"n_qubits": 12,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 426 |
06452936e8d3a7a39aff75e9a51ed743 | 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}, {"id": 9}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 8}, {"weight": 14, "source": 1, "target": 6}, {"weight":... | {"states": [980, 468], "expectation_value": -76.58025928132363, "params": [0.4222, -0.19290000000000002, 0.4209, -0.1955, 0.7016, 0.0438, 0.6966, 0.0453, 0.6976, 0.0385, 0.6940000000000001, 0.0521, 0.6957, 0.0522, 0.6935, 0.0665, 0.0505, 0.3094, 0.051300000000000005, 0.3053, 0.7047, 0.0155, 0.6977, 0.043000000000000003... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(6) @ Z(2)) + 5.5 * (Z(7) @ Z(3)) + 5.5 * (Z(7) @ Z(2)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(3)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(1)) + 5.5 * (Z(9) @ Z(5)) + 10.0 * Z(1) + 8.5 * Z(0) + 18.0 * ... | 5 | 10 | 2 | {"smallest_eigenvalues": [-93.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["1000101011"], "largest_eigenvalue": 163.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.08392357999791314) q[0];
rz(0.22801537293469565) q[0];
rx(0.37779060948065735) q[1];
rz(-0.058323134483439926) q[1];
cx q[1], q[0];
rz(-0.012474008753986437) q[0];
cx q[1], q[0];
rz(-1.1828454883127475) q[0];
ry(0.052208986194362476) q[0];
rz(1.776184567088281) q... | 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[... | {"matching": "maximum", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIIZ",
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIZZIIII",
"IIIZIIIZII",
"IIZIIIZIII",
"IIZIIIIZII",
"IIZZIIIIII",
"IZIIIIZIII",
"IZZIIIIIII",
"ZIIIIIIIZI",
"ZIIIZIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
10,
8.5,
18,
19,
8,
-1,
2,
18.5,
4.5,
4.5
] | 0.971489 | [
-0.08392357999791314,
0.21554136418070918,
0.37779060948065735,
-0.058323134483439926,
0.5889970745017269,
-0.036589927644473774,
0.36219390380623295,
0.0077301463417728915,
0.052768123289392094,
0.33471951819911683,
0.6057456028461152,
0.052138411320119024,
0.1357400611052235,
0.363256882... | {
"n_parameters": 139,
"n_qubits": 10,
"optimal_eigenvalue": -93.5,
"target_ratio": 0.97,
"target_value": -90.695
} | 14 |
77b330b19f49e761f379dcdc10992a93 | 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}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"sour... | {"states": [85, 87], "expectation_value": -4.068908556859607, "params": [-0.0074, -0.3759, -0.007500000000000001, 0.004, 0.16620000000000001, 0.325, 0.16090000000000002, 0.0085, 0.8089000000000001, 0.0012000000000000001, 0.805, 0.009300000000000001, 0.2797, 0.10650000000000001, 0.274, 0.0004, 0.8054, -0.003, 0.8094, 0.... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(8) @ Z(5)) + -0.5 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -2.0 * Z(5) + ... | 7 | 9 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["110011000", "110101000"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.05631481342977389) q[0];
rz(-1.0339030539769745) q[0];
rx(-0.1194174969566223) q[1];
rz(-0.08901328744410761) q[1];
cx q[1], q[0];
rz(0.15553721188335348) q[0];
cx q[1], q[0];
rx(0.019063529449885423) q[0];
rz(-0.052553305557120324) q[0];
rx(0.09158964038932227) q[... | 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIZIIIIZ",
"IIIZIZIII",
"IZIIIIIIZ",
"IZIZIIIII",
"IIIIIIZZI",
"IIIIIZIZI",
"IIZZIIIII",
"IIZIIIIZI",
"IIIIZZIII",
"ZIIZIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIZIIIII",
"IZIIIIIII",
"IIIIIIIZI",
"IIZIIIIII",
"IIIIZIIII",
"ZIIIIIIII"
] | [
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,
-1.5,
-1.5,
-2,
-0.5,
-1,
-0.5,
0,
0
] | 0.974996 | [
0.05631481342977389,
-0.8783658420936209,
-0.1194174969566223,
-0.08901328744410761,
1.6104119166769577,
-0.18475771724507395,
-0.07743724522727864,
0.37179470067002773,
1.0980405538319429,
0.2656499786309733,
0.09315034007897079,
-1.0603368274667755,
1.6578592164257668,
-0.148334224858241... | {
"n_parameters": 39,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 21 |
8825faac04a1dea74e1f50fbc9cc77c3 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, ... | {"states": [198, 166], "expectation_value": -1.2914780396810988, "params": [0.4037, 0.0565, 0.40340000000000004, 0.082, 0.4011, 0.1817, 0.1777, 0.1704, 0.317, 0.19210000000000002, 0.4042, 0.11950000000000001, 0.40030000000000004, 0.0057, 0.0019, 0.31370000000000003, 0.39780000000000004, 0.0731, 0.4033, 0.1034, 0.3975, ... | 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)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (... | 18 | 8 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.25, "smallest_bitstrings": ["10011001", "10101001", "01010101", "00111001", "01011001"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.15291605558017266) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.15291605558017266) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.15291605558017266) q[2];
cx q[0], q[2];
rz(-1.0431096114034215) q[0];
rx(-0.20100793962471603) q[0];
h ... | 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIIZIIZ",
"IIZZIIII",
"IIIZIIZI",
"IZIIIIZI",
"IZIZIIII",
"IZIZIIZI",
"IIIIZZII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"ZZZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.25,
0,
-0.25,
-0.5,
-0.25,
-0.25,
0,
-0.75
] | 0.970819 | [
-0.15291605558017266,
1.5305142180454085,
-1.0431096114034206,
1.9279818478897792,
-0.9131555900472494,
1.2565631961675092,
0.036028566457382144,
1.105705289047865,
0.8217863488603611,
-0.20100793962471591,
0.21791004023137842,
0.12036532556028569,
-0.8985480040462571,
-0.3024677114818559,... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -63,
"target_ratio": 0.97,
"target_value": -61.11
} | 44 |
34fec832591d56601cbd146a15fec9ed | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, ... | {"states": [98, 83], "expectation_value": -0.17644519075685514, "params": [[-0.0761], [0.0726]], "bitstrings": ["0011101", "0101100"], "total_optimization_steps": 10, "probabilities": [0.008790356881531514, 0.009141833391968415], "optimization_time": 2.1872057914733887} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + 0.0 * Z(2) + -0.5 * Z(1) + -0.5 * Z(6) + -0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0101100"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.08399526504899095) q[0];
rz(0.2825788937886795) q[0];
rx(0.7951459296419685) q[1];
rz(0.2003437432581271) q[1];
rx(1.0221893354097433) q[2];
rz(-0.3092263127594003) q[2];
rx(1.0231214214866293) q[3];
rz(0.10389188217607151) q[3];
rx(0.970134509765303) q[4];
rz(0.1... | 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;
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]... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZZIII",
"IIZIIIZ",
"IIIIZZI",
"ZIIZIII",
"ZIIIIZI",
"IZIZIII",
"IZZIIII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIZII",
"IIIIIZI",
"ZIIIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1,
0,
-0.5,
-0.5,
-0.5
] | 0.974076 | [
-0.08399526504899095,
0.11179873042160347,
0.7951459296419685,
0.2003437432581271,
1.0221893354097433,
-0.3092263127594003,
1.0231214214866293,
0.10389188217607151,
0.970134509765303,
0.1704895690175754,
0.36114319075678797,
0.4543183591063792,
0.6989834795043587,
-0.038232563756867066,
... | {
"n_parameters": 93,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 9 |
60124d7a0b0f082fe2693bc67d31da5d | 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}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [129, 193], "expectation_value": -6.067659927977742, "params": [0.46730000000000005, 0.0026000000000000003, 0.4605, 0.0022, 0.42060000000000003, 0.0016, 0.4179, 0.0025, 0.0001, 0.2763, -0.0006000000000000001, 0.2738, 0.0011, 0.2798, -0.0023, 0.2912, -0.0027, 0.298, -0.0023, 0.3113, 0.003, 0.28900000000000003... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) ... | 7 | 8 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["00111110"], "largest_eigenvalue": 21.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.863941513922016) q[0];
rz(0.0827260696094747) q[0];
rx(0.5665777001948803) q[1];
rz(-0.14940075782380993) q[1];
cx q[1], q[0];
rz(0.012491711964371564) q[0];
cx q[1], q[0];
rz(1.3945175852761755) q[0];
ry(1.6185122554243296) q[0];
rz(-1.7162915758379729) q[0];
rx(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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIZII",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIIZ",
"IIZIZIII",
"IIZZIIII",
"IIIIIZZI",
"IIIIZIZI",
"IIZIIIZI",
"IZIIIZII",
"IZIIIIZI",
"ZIIIZIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IIIIIIZ... | [
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,
0.5,
0.5,
-1.5,
-1.5,
-2,
-2,
-2,
-1.5,
-1,
-1.5
] | 0.98044 | [
0.863941513922016,
0.09521778157384653,
0.5665777001948803,
-0.14940075782380993,
-0.13219495847009352,
0.2715374608654329,
0.15227835254554412,
0.146331043751619,
0.07460337676448242,
-0.03221602392900855,
0.10321779498129155,
0.2206795678616264,
0.09271470140728233,
0.38462956981949054,
... | {
"n_parameters": 76,
"n_qubits": 8,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 12 |
e4c65d82be0d39aa5a43dd21b25413c9 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [178, 179], "expectation_value": -2.654042982115913, "params": [1.6203, 0.3582, 0.0025, 1.3137, 1.5693000000000001, -0.0028, 1.5776000000000001, 0.516, -0.0044, 1.3508, -0.009300000000000001, -1.4436, 2.0261, 0.0029000000000000002, 0.8078000000000001, 0.0068000000000000005, 1.5172, 0.0057, 0.0024000000000000... | 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)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(5) @ Z(0)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(5) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) ... | 18 | 8 | 2 | {"smallest_eigenvalues": [-3.125, -3.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.125, "smallest_bitstrings": ["01001100", "01010001"], "largest_eigenvalue": 5.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3247553284692968) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.3247553284692968) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.3247553284692968) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.3247553284692968) q[3];
cx q[2], q[3];
h ... | 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIZZIII",
"IIIIZIIZ",
"IIZIIIIZ",
"IZIIIIIZ",
"IIZIZIII",
"IZIIZIII",
"IZZIIIII",
"IIZIZIIZ",
"IZIIZIIZ",
"IZZIIIIZ",
"IZZIZIII",
"IZZIZIIZ",
"ZIZIIIII",
"IZIIIIZI",
"IIIZIZII",
"ZIIIIZII",
"ZIIZIIII",
"ZIIZIZII",
"IIIIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
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,
0.25,
0.25,
0.25,
-0.25,
0.125,
-0.25,
0,
-0.125,
-0.25,
-0.125,
-0.125,
-0.25
] | 0.974813 | [
0.3247553284692968,
-1.3219445212436283,
-0.42592128972119486,
-1.3026339243679061,
-0.9080909678550849,
-1.1188009159857968,
0.06199065936474893,
-1.7911626886341159,
0.15201918715687204,
0.008349512126035533,
-0.1740273346787747,
-0.13593270342756683,
0.4345867108068353,
-0.2043119716458... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -63,
"target_ratio": 0.97,
"target_value": -61.11
} | 68 |
9106470436006913530 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 3], [2, 3], [0, 1], [1, 2], [0, 2], [0, 4], [1, 5], [4, 5], [2, 4]]} | {"states": [50, 18], "expectation_value": -0.15662352855612505, "params": [0.8724000000000001, 0.22560000000000002, 0.7214, 0.0097, 0.8908, 0.2207, 0.8542000000000001, 0.007500000000000001, 0.8812000000000001, 0.2169, 0.6867000000000001, 0.0063, 0.7153, 0.0703, 0.7199, 0.01, 0.8908, 0.21660000000000001, 0.8290000000000... | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(5) | 5 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.5, "smallest_bitstrings": ["101001", "100101", "010010", "101101", "010110", "011010"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.13163382623829942) q[0];
rz(0.817149096937305) q[0];
rx(2.0810413471814955) q[1];
rz(0.40274318432728284) q[1];
rx(0.19159976195317366) q[2];
rz(-0.11261260073215063) q[2];
rx(0.2987301068914402) q[3];
rz(0.4383457522567493) q[3];
rx(2.0810413471814955) q[4];
rz(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[... | null | {"circuits": [], "gradients": []} | [
"IIZIZI",
"IIZZII",
"IIIZZI",
"IIIIZZ",
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"ZIIIZI",
"ZZIIII",
"IIZIII",
"IIIIZI",
"IIIZII",
"IIIIIZ",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.971079 | [
-0.13163382623829942,
0.3352708583808112,
2.0810413471814955,
0.057452555156702265,
0.19159976195317366,
0.015446860997230749,
0.2987301068914402,
0.47588183686885,
0.6415555343731213,
0.1665056308990486,
0.41385188600409867,
-0.5890522858331865,
-0.07507216922420157,
-0.25611892345876314,... | {
"n_parameters": 29,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 35 |
12625ff7963f220cedd44f15c6035b49 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 1}, {"capacity": 4, "so... | {"states": [1762, 1506], "expectation_value": -10.278955933809678, "params": [[-0.0995], [0.2503]], "bitstrings": ["1100100011101", "1101000011101"], "total_optimization_steps": 30, "probabilities": [0.0006678881894021045, 0.0006678881894021051], "optimization_time": 13.69860315322876} | -1.0 * (Z(8) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(8)) + 2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(8)) + 4.0 * (Z(4) @ Z(3)) + -1.0 * (Z(9) @ Z(2)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(3)) + -2.0 * (Z(9) @ Z(4)) + 1.0 * (Z(5) @ Z(6)) + 2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + -0.5 *... | 1 | 13 | 1 | {"smallest_eigenvalues": [-19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -18.75, "smallest_bitstrings": ["1110000010010", "1110000001101", "1110000001010", "1100100011010", "1100100011101", "1101000011010", "1101000011101", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[5];
rz(0.0337115844172802) q[5];
cx q[6], q[5];
h q[7];
cx q[6], q[7];
rz(0.018414539975709646) q[7];
cx q[6], q[7];
cx q[5], q[7];
rz(-2.0778790141223) q[6];
rx(1.332290205529361) q[6];
rz(0.0337115844... | 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] 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[13] c;
qubit[13] q;
h q[0];
h q[1];
... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIZII",
"IIIIIIIIIZZII",
"IIIIZIIIIZIII",
"IIIIIIIIZIZII",
"IIIIZIIIZIIII",
"IIIIIIIIZZIII",
"IIIZIIIIIIZII",
"IIIZZIIIIIIII",
"IIIZIIIIIZIII",
"IIIZIIIIZIIII",
"IIIIIIZZIIIII",
"IIIIIZZIIIIII",
"IIIIIZIZIIIII",
"IIIIIIIIIIZIZ",
"IIIIZIIIIIIIZ",
"IIIIIIIIIZIIZ",
"IIIIIIIIZII... | [
-1,
2,
-2,
2,
-2,
4,
-1,
1,
-2,
-2,
1,
2,
1,
0.5,
-0.5,
1,
1,
-0.5,
0.5,
-0.5,
1,
1,
-0.5,
0.25,
-0.5,
0.5,
-1,
-1,
0.5,
-0.5,
-0.5,
-1,
1,
-2,
-2,
1,
-1,
-1,
1,
-0.5,
0.5,
-1,
-1,
0.5,
-0.5,
-0.5,
0.5,
1,
2,
-2,
4,
... | 0.934646 | [
-0.017945495095570838,
0.018414539975709646,
-0.01256029963426791,
-0.822997322774261,
0.0337115844172802,
0.09403212308213957,
-0.049568322743649015,
-0.09733760106877386,
-2.0778790141223,
-0.6586234365540318,
1.117303174346778,
1.332290205529361,
0.16829227678709818,
-0.1470933503730152... | {
"n_parameters": 34,
"n_qubits": 13,
"optimal_eigenvalue": -19.75,
"target_ratio": 0.97,
"target_value": -19.1575
} | 500 |
d18efd94c1a80a2c20858b1ae5dd642c | 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}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 4, "source": ... | {"states": [0, 256], "expectation_value": -35.970098572634356, "params": [-0.0024000000000000002, 0.0022, -0.0001, -0.0067, -0.006500000000000001, 0.0014, 0.307, 0.3007, -0.0015, -0.0023, 0.0012000000000000001, -0.007200000000000001, 0.0688, 0.1544, -0.0022, -0.0018000000000000002, 0.0015, -0.005200000000000001, -0.006... | -0.25 * (Z(0) @ Z(4)) + -0.25 * (Z(5) @ Z(0)) + -2.0 * (Z(7) @ Z(4)) + -1.0 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(5)) + -0.75 * (Z(11) @ Z(4)) + -0.75 * (Z(11) @ Z(0)) + -1.5 * (Z(11) @ Z(5)) + -0.25 * (Z(11) @ Z(7)) + 2.5 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(11)) + -0.5 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(5)) + -0.5 * (Z(1... | 14 | 12 | 3 | {"smallest_eigenvalues": [-38.25, -38.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -35.25, "smallest_bitstrings": ["111011011111", "111011111111"], "largest_eigenvalue": 34.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.10109149070098945) q[0];
rz(pi/2) q[0];
ry(-0.2861295794439147) q[1];
ry(0.016265656652462334) q[2];
ry(0.38373868143959233) q[3];
ry(-0.008915173379376841) q[4];
ry(-0.0005684976844672826) q[5];
ry(-0.17855752366633115) q[6];
ry(-0.04154154956312128) q[7];
ry(0.... | 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;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIZ",
"IIIIIIZIIIIZ",
"IIIIZIIZIIII",
"IIIIZIIIIIIZ",
"IIIIZIZIIIII",
"ZIIIIIIZIIII",
"ZIIIIIIIIIIZ",
"ZIIIIIZIIIII",
"ZIIIZIIIIIII",
"IIIIIIIIZIIZ",
"ZIIIIIIIZIII",
"IIIIIIIZIIZI",
"IIIIIIZIIIZI",
"IIIIIIIIZIZI",
"IIIZIIZIIIII",
"IIIZZIIIIIII",
"IIIZIIIIIIZI",
"IZIIZIIII... | [
-0.25,
-0.25,
-2,
-1,
-1,
-0.75,
-0.75,
-1.5,
-0.25,
2.5,
-0.5,
-0.5,
-0.25,
-0.5,
-1.25,
-1.5,
-2,
-1.25,
-1.25,
-2,
-1.5,
-0.25,
-3,
-1.25,
-2.25,
-1.25,
-1,
-0.75,
-1,
-0.5,
-1.5,
-0.5,
-1.25,
-1.75,
-0.25,
-4.25,
-1.25,
2.25,
1.5,
-1.... | 0.980049 | [
-0.10109149070098945,
-0.2861295794439147,
0.016265656652462334,
0.38373868143959233,
-0.008915173379376841,
-0.0005684976844672826,
-0.17855752366633115,
-0.04154154956312128,
0.1721837458151089,
0.15728050216211925,
0.12376975183674171,
-0.009148384519871156,
0.15035904835152974,
0.11977... | {
"n_parameters": 118,
"n_qubits": 12,
"optimal_eigenvalue": -38.25,
"target_ratio": 0.97,
"target_value": -37.1025
} | 9 |
f5111a52f17f533e17f8c384d135402e | 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": 6, "source": 0, "t... | {"states": [181, 174], "expectation_value": -10.380797227377705, "params": [[0.039], [-0.0606]], "bitstrings": ["101001010", "101010001"], "total_optimization_steps": 10, "probabilities": [0.0036096276203123855, 0.003859298976504511], "optimization_time": 2.1669704914093018} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(0)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(8)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(8)) + 4.5 * (Z(7) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.5, "smallest_bitstrings": ["101010001"], "largest_eigenvalue": 178.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.007212776099781059) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.007212776099781059) q[2];
cx q[1], q[2];
rz(0.780813702981237) q[2];
rx(1.5721006595659317) q[2];
h q[3];
cx q[1], q[3];
rz(-0.007212776099781059) q[3];
cx q[1], q... | 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;
input float[64] x8;
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],... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"ZIIZIIIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIZIIIIII",
"IZIIZIIII",
"ZZIIIIIII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
19,
7.5,
0,
19,
9,
10.5,
9,
23.5,
13.5
] | 0.97105 | [
-0.007212776099781059,
-1.3592743259066122,
1.6537158779789607,
0.7808137029812368,
1.67390823835905,
-1.2343604044739556,
-1.5525304193852054,
-1.4452878913400449,
1.572100659565932,
-1.2309330465006443,
-1.5734411619713957,
0.08174358873233034,
-0.2046395037677557,
-1.0212890304073738,
... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -82.5,
"target_ratio": 0.97,
"target_value": -80.02499999999999
} | 58 |
94dd9c8568f88dcb3e4d7e2fe1b8d82a | 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": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6... | {"states": [63, 1], "expectation_value": -2.2531957747557456, "params": [[0.0591, 0.0592, 0.06720000000000001, 0.0629], [-0.0594, -0.0545, -0.0636, -0.056600000000000004]], "bitstrings": ["1000000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.023780480290293476, 0.024854428484383143], "optimization_... | -0.5 * (Z(0) @ Z(3)) + 0.75 * (Z(6) @ Z(0)) + -1.25 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(6) + -0.5 * Z(1) + -0.25 * Z(2) + -1.75 * Z(5) + 2.0 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["1111110", "1000000"], "largest_eigenvalue": 11.0} | 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(0.01696964563984058) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.6257158851690002) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.8826680353858664) q[2];
cx q[3], q[2];
h q[4];
h q[5];
cx q[3], q[5];
rz(0.44149109525872793) q[5];... | 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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"ZIIIIIZ",
"IIIZIZI",
"ZIIIIZI",
"IIIZZII",
"IIIIZZI",
"IZIZIII",
"IIZIZII",
"IZZIIII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"IIZIIII"
] | [
-0.5,
0.75,
-1.25,
-0.5,
-1,
-0.25,
-0.75,
-1,
-1.5,
0.5,
-0.25,
0.25,
-0.5,
-0.25,
-1.75,
2
] | 0.872663 | [
0.01696964563984058,
0.12295109747947061,
0.6257158851690002,
0.8826680353858664,
0.5860523152796467,
0.44149109525872793,
0.33128169600839774,
0.2852731024582777,
-1.0288623657695086,
0.5339911888699572,
-0.13975071708561476,
1.1869116100653803,
0.04328033325172488,
-0.8178563442900494,
... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 500 |
fa12f3a697c97a90a7d75ad197dde7b9 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 5}]} | {"states": [22, 21], "expectation_value": -2.9965156550505325, "params": null, "bitstrings": ["101001", "101010"], "total_optimization_steps": 18, "probabilities": [0.06700924257653981, 0.9297458928351173], "optimization_time": 8.8370521068573} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["001110", "101001", "101010", "110010"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(2.135653907332281) q[0];
ry(0.07785783286395775) q[0];
rz(-2.461338086738153) q[0];
rz(2.429152376567284) q[1];
ry(0.2252425377262643) q[1];
rz(-1.0510731615663547) q[1];
rz(-1.956988573421869) q[2];
ry(0.14605112814072668) q[2];
rz(0.30051180833493296) q[2];
rz(-3.0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) 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];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"IIZIIZ",
"IIIZZI",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIZIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
0,
0,
0
] | 0.977057 | [
0.23599177523086315,
-0.24128829019517117,
0.08672641127394859,
0.5641813210321281,
0.02724449539707903,
-0.3809606943817887,
0.9600172844814231,
0.10376398558997606,
0.9072997747415072,
-0.031882398092854744,
0.9283660285539568,
-0.18778968286556685,
-0.0006073131649154268,
-0.03282407204... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 26 |
0fa16bda8c91a0df87f78317637ad2ed | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [246, 118], "expectation_value": -62.06802412092113, "params": [0.2844, 0.26990000000000003, 0.49350000000000005, 0.49560000000000004, 0.4587, 0.45780000000000004, 0.4839, 0.4806, 0.09280000000000001, 0.0884, 0.498, 0.4888, 0.48550000000000004, 0.4919, 0.16620000000000001, 0.1655, 0.2687, 0.2676, 0.4924, 0.4... | 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(0) @ Z(3)) + 6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(1) @ Z(3)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(7) @ Z(6)) + 22.0 * Z(3) + 16.0 * Z(2) + 10.0 * Z(0) + 20.0 * Z(1) + 6.5 * Z(5) + 1.5 * Z(4) + 3.5 * Z(6) + -5.5 ... | 14 | 8 | 3 | {"smallest_eigenvalues": [-75.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 143.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.02639516983478432) q[0];
rz(pi/2) q[0];
ry(0.6866758513434682) q[1];
ry(0.27295919714179884) q[2];
ry(0.5378439336703695) q[3];
ry(-0.10166944789077109) q[4];
ry(0.7646772899298245) q[5];
ry(0.5755031228312366) q[6];
ry(0.3006669058555963) q[7];
cx q[7], q[0];
ry(... | 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIZZII",
"IIIIZIIZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIIZZI",
"IIIIIIZZ",
"IIZIZIII",
"IIIZIIZI",
"IIZZIIII",
"ZZIIIIII",
"IIIIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
22,
16,
10,
20,
6.5,
1.5,
3.5,
-5.5
] | 0.97954 | [
-0.02639516983478432,
0.6866758513434682,
0.27295919714179884,
0.5378439336703695,
-0.10166944789077109,
0.7646772899298245,
0.5755031228312366,
0.3006669058555963,
-0.14011455225037867,
-0.09690421948786623,
-0.008743605892304107,
-0.26733691633295165,
-0.2795389992965712,
0.1995908621332... | {
"n_parameters": 92,
"n_qubits": 8,
"optimal_eigenvalue": -75,
"target_ratio": 0.97,
"target_value": -72.75
} | 18 |
474afac3a31ba487f93ea7ccb82b3637 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 5, "source": 0, ... | {"states": [93, 85], "expectation_value": -3.0349790072565224, "params": [[0.061900000000000004, 0.0804], [-0.037700000000000004, -0.0714]], "bitstrings": ["10100010", "10101010"], "total_optimization_steps": 10, "probabilities": [0.009152561319104075, 0.009748333864301666], "optimization_time": 3.7913551330566406} | -0.75 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.75 * (Z(7) @ Z(1)) + 2.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["10101010"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.36872562284623683) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.0013655158718997333) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.00014135006894810655) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.8230635131707402) q[4];... | 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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIIZI",
"IIIZIIIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIZIZI",
"IZIIIIZI",
"IZIIIZII",
"IIZIIIZI",
"IIZIIZII",
"IIZZIIII",
"ZIZIIIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIII... | [
-0.75,
-1.25,
-1,
-0.5,
-1.75,
2.75,
-0.25,
-1,
-1.5,
-0.75,
-1,
-1.25,
-1,
-1.5,
-1.25,
3.5,
-0.25,
-1.75,
-2.25,
-0.75,
0.25,
-2.25,
3.5
] | 0.701154 | [
-0.36872562284623683,
0.0013655158718997333,
0.00014135006894810655,
-0.8230635131707402,
0.436838185920855,
-0.026107577769653063,
0.6164086498279017,
0.0005290909695814357,
-1.5695427040038046,
1.5735797033135825,
-1.5707911703690771,
1.5642689749322976
] | {
"n_parameters": 12,
"n_qubits": 8,
"optimal_eigenvalue": -19,
"target_ratio": 0.97,
"target_value": -18.43
} | 323 |
4831ab012b2dd3a86550af07c5dc6e17 | max_flow | vqe | {"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": 6}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 2, "source": 1, "target": 6... | {"states": [7103, 8127], "expectation_value": -22.87458071499945, "params": [[[-0.0017000000000000001, 0.8024, 0.0091, 0.0085], [-0.0, 0.8192, -0.0039000000000000003, 0.0056], [0.9212, 0.006200000000000001, 0.0085, 0.0025], [-0.12990000000000002, -0.0536, 0.3151, 0.001], [-0.0004, -0.0901, 0.0027, -0.0946], [0.5342, 0.... | -1.0 * (Z(7) @ Z(1)) + -1.0 * (Z(8) @ Z(1)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 ... | 12 | 15 | 4 | {"smallest_eigenvalues": [-23.49999999999981], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.499999999999744, "smallest_bitstrings": ["110000001000000"], "largest_eigenvalue": 52.50000000000006} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
rx(-0.20796838160434256) q[0];
rz(0.7828799437569725) q[0];
rx(0.134548632594205) q[1];
rz(0.2739814615874633) q[1];
cx q[1], q[0];
rz(-0.01614072487980384) q[0];
cx q[1], q[0];
rz(1.0651551623204405) q[0];
ry(0.033660691285731875) q[0];
rz(-0.3172007856064387) q[0];
r... | 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;
i... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIIIZI",
"IIIIIIZIIIIIIZI",
"IIIIIIZZIIIIIII",
"IIIIIIIIIIIIZZI",
"IIIIIIIZIIIIZII",
"IIIIIIZIIIIIZII",
"IIIIIIIIIIIZIZI",
"IIIIIIIZIIIZIII",
"IIIIIIZIIIIZIII",
"IIIIIIIIIIIZZII",
"IIIIIIIIIIZIIZI",
"IIIIIIIZIIZIIII",
"IIIIIIZIIIZIIII",
"IIIIIIIIIIZIZII",
"IIIIIIIIIIZZIII",
"... | [
-1,
-1,
1,
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,
1,
-0.5,
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,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
1... | 0.972693 | [
-0.2079683816043426,
0.7667392188771684,
0.134548632594205,
0.2739814615874633,
0.5570540689180454,
-0.24201210412359003,
0.8558334827245723,
0.08754612967842154,
0.3448817416275478,
-0.15518388594361215,
0.8423806309219513,
0.08852232364254385,
0.9300608171577839,
0.9211924307353271,
0.... | {
"n_parameters": 115,
"n_qubits": 15,
"optimal_eigenvalue": -23.49999999999999,
"target_ratio": 0.97,
"target_value": -22.794999999999987
} | 27 |
f20b14ccaf46fd91ed39b9c05edbe906 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target"... | {"states": [20, 24], "expectation_value": -2.9741073126594983, "params": null, "bitstrings": ["01011", "00111"], "total_optimization_steps": 14, "probabilities": [0.07397885559790421, 0.9005751935612479], "optimization_time": 8.702143430709839} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -1.0 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["00111", "01011", "10101"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-pi) q[0];
ry(-3.041947219049351) q[0];
h q[1];
ry(1.6318833541680478) q[1];
h q[2];
ry(-0.7379926998527211) q[2];
h q[3];
h q[4];
ry(0.8376298721779702) q[4];
cx q[1], q[4];
ry(-0.8376298721779702) q[4];
cx q[1], q[4];
h q[5];
ry(-0.7147883140515682) q[5];
h q[6];
... | 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(-1.5708) 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]... | [
"IZIIZ",
"ZZIII",
"ZIIIZ",
"ZIIZI",
"IZZII",
"ZIZII",
"IIZZI",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1.5,
-0.5,
-1
] | 0.991552 | [
1.626920252534508,
1.6318833541680478,
1.6752597443559405,
1.4055255953993955,
-1.4295766281031363,
1.526293908737557,
1.4857719885790526,
-1.4759853997054422,
1.5056411906827167,
-0.1302135460495614,
0.288295705195563,
0.02259902731407358,
0.052822537266667954,
0.02672121721962814,
-0.1... | {
"n_parameters": 24,
"n_qubits": 11,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
2df93713dba52fbc8f2926f6b2fd57be | min_cut | adaptive_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": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 3, ... | {"states": [29, 31], "expectation_value": -5.8546769839357795, "params": null, "bitstrings": ["11100010", "11100000"], "total_optimization_steps": 40, "probabilities": [0.41767691116306144, 0.419333279531861], "optimization_time": 40.547207832336426} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + 1.0 * (Z(7) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(4) @ Z(7)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(2) + 0.0 * Z(7) + 1.0 * Z(3) + 0.75 * Z(4) + 0.25 * Z(5) + 0.0 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["11100110", "11100000", "11100010"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.2949175491820306) q[0];
ry(-0.5718315361379981) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.014198824758824193) q[2];
h q[3];
ry(0.8153655793536955) q[3];
h q[4];
ry(1.7358025262701822) q[4];
ry(-3.1020867817151703) q[5];
rz(-pi) q[5];
h q[6];
cx q[6], q[5];
r... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5706) 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];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZIZ",
"ZIIIIIIZ",
"IIIIZZII",
"ZIIIZIII",
"ZIIZIIII",
"IIZZIIII",
"IZIIIZII",
"IZZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"ZIIIIIII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-0.5,
-0.25,
1,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-1.25,
0,
1,
0.75,
0.25,
0
] | 0.978876 | [
-1.6615171206744725,
1.7358025262701822,
-0.5898350983640612,
1.4494700949935044,
1.630731158707391,
-0.961733679987851,
1.4386247151708065,
0.06190878182737325,
-0.37241896942618374,
0.1853314794989342,
0.12371533057551468,
-0.07230134059792101,
-0.818259384585675,
0.003388180207093014,
... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 12 |
23b9bdf3a0cf36b2670f2324e5b7a3b3 | connected_components | 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}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5},... | {"states": [0, 511], "expectation_value": -12.826636645130796, "params": [-0.004, 0.0867, -0.0053, 0.6239, 0.0018000000000000002, 0.8952, 0.0047, -0.1135, -0.4021, 0.39940000000000003, -0.007, 0.10200000000000001, 0.7767000000000001, 0.3396, -0.1834, 0.16160000000000002, 0.758, 0.6478, 0.16870000000000002, -0.218300000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + -1.5 * (Z(10) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(10)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7)... | 6 | 11 | 3 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["11000000000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.1378604361436234) q[0];
rz(2.371216038226251) q[0];
rx(-0.6675826519795717) q[1];
rz(-2.989684856271685) q[1];
rx(1.5201918806054182) q[2];
rz(1.3417265571219277) q[2];
rx(0.6619251621547098) q[3];
rz(2.375082397068926) q[3];
rx(0.4820762427365239) q[4];
rz(1.847... | 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;
i... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIZZIIII",
"IIZZIIIIIII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"ZIIIIIIIZII",
"IIIIIIIZZII",
"ZIIIIIIZIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIZIIIIII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIZIIIIIII",
"IZIIIIIIIII",
"IIIIIIIIZ... | [
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.923562 | [
-0.1378604361436234,
0.8004197114313544,
-0.6675826519795717,
1.7227041241130048,
1.5201918806054187,
-0.22906976967296877,
0.6619251621547098,
0.8042860702740292,
0.48207624273652394,
0.2764907248322506,
-0.5675744854935185,
0.15632389579373596,
-0.25797449405976725,
0.7488575827733567,
... | {
"n_parameters": 213,
"n_qubits": 11,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 500 |
545bcfb51b62530fdc9be7975a5d5ce0 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [298, 426], "expectation_value": -2.8189620586511923, "params": [[0.7039000000000001, 0.5529000000000001, -0.0881, 0.6387, -0.0018000000000000002, 0.6275000000000001, 0.0786, 0.674, -0.0349], [0.2848, 0.1862, 0.08600000000000001, 0.6288, -0.0018000000000000002, 0.6203000000000001, 0.0781, 0.6841, -0.0492], [... | 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(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 10 | 9 | 4 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.375, "smallest_bitstrings": ["010010110", "001010101", "001010011", "100010011", "010010011", "010110010", "011010100", "001011100"], "largest_eigenvalue": 6.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.09915161758488733) q[0];
rz(0.5998608345753378) q[0];
rx(-0.18145067014966562) q[1];
rz(0.5998810291765536) q[1];
rx(2.985543745430076) q[2];
rz(0.18183328406824287) q[2];
rx(0.1602542015299359) q[3];
rz(-0.3000666034580351) q[3];
rx(2.9993657724506377) q[4];
rz(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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIIIZZIIZ",
"IIIZIZIIZ",
"IIIZZIIIZ",
"IIIZZZIII",
"IIIZZZIIZ",
"IZZIIIIII",
"IIZIIZIII",
"ZIIIIZIII",
"ZIZIIIIII",
"ZIZIIZIII",
"IIIZIIIZI",
"... | [
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,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0,
-0.25,
0.125,
-0.625,
0.125,
-0.25,
-0.5,
0
] | 0.972393 | [
-0.09915161758488733,
0.5998608345753378,
-0.18145067014966562,
0.5998810291765536,
2.985543745430076,
0.18183328406824287,
0.1602542015299359,
-0.3000666034580351,
2.9993657724506377,
0.3162526865993821,
3.4061133890586293,
-0.020036260773223513,
0.38438153064552155,
0.056070252525510594
... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 18 |
918d0720354f72593c99e149eea5ed01 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [102, 100], "expectation_value": -0.910784096487727, "params": [[-0.0609, -0.0673], [0.0719, 0.0732]], "bitstrings": ["0011001", "0011011"], "total_optimization_steps": 10, "probabilities": [0.011001952299871746, 0.011357461079613686], "optimization_time": 4.244913578033447} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(2) + -1.0 * Z(0) + -2.0 * Z(3) + -1.5 * Z(6) + ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0011011", "0111001"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.11100341472157638) q[0];
ry(-0.11280279679784128) q[1];
ry(-0.20974393272431618) q[2];
ry(-0.1349667402194078) q[3];
ry(0.3439396431740829) q[4];
ry(0.530047394115224) q[5];
ry(0.3471431189969528) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
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[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"ZIIIIIZ",
"ZIIZIII",
"IIIIZZI",
"IIIZIZI",
"ZIIIIZI",
"IZIIZII",
"IZIZIII",
"IZIIIZI",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-2,
-1.5,
-1.5,
-1,
0
] | 0.970894 | [
-0.11100341472157638,
-0.11280279679784128,
-0.20974393272431618,
-0.1349667402194078,
0.3439396431740829,
0.530047394115224,
0.3471431189969528,
-0.015116441477203271,
-0.03682652652668659,
0.13420639771524737,
-0.3947322486300181,
0.9588753644970154,
1.1356833754499724,
-0.40692746001699... | {
"n_parameters": 42,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 39 |
9f95a6b8d69043a5d277b3f4562e53a4 | 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}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capac... | {"states": [0, 1], "expectation_value": -21.05535563220615, "params": [0.0033, 0.0, 0.0023, 0.010400000000000001, 0.0027, 0.0066, 0.0026000000000000003, 0.010400000000000001, 0.0025, 0.0033, 0.0027, 0.0012000000000000001, 0.0027, 0.0022, 0.0023, 0.0014, 0.0028, 0.9221, 1.6078000000000001, 0.0035, 0.0038, -0.0037, 0.000... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(3)) + -1.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(3)) + -3.0 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(2)) + -1.5 * (Z(7) @ ... | 4 | 10 | 1 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 28.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.7879111695786734) q[0];
h q[1];
ry(-1.4825662710152618) q[1];
h q[2];
ry(-1.5758223391573467) q[2];
ry(-0.05832034583528325) q[3];
rz(-pi) q[3];
h q[4];
ry(-1.5758223391573467) q[4];
rz(-pi) q[5];
ry(-0.3737700305674028) q[5];
h q[6];
rz(-pi) q[7];
ry(-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[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IZIIIIIIIZ",
"IZIIIIZIII",
"IIIIZIIIZI",
"IIIIZIIZII",
"IIIIZIZIII",
"IIZIIIIIZI",
"IIZIIIIZII",
"IIZIIIZIII",
"IIIZIIIIZI",
"IIIZIIIZII",
"IIIZZIIIII",
"IIZZIIIIII",
"ZIIIIIIIIZ",
"ZIIIIIZIII"... | [
-0.25,
-0.75,
-0.75,
-1.5,
-0.25,
-0.5,
-0.5,
-0.75,
-1.5,
-1,
-0.25,
-3,
-1,
-1.5,
-0.5,
-0.25,
-1.5,
-0.25,
2,
-0.5,
-0.25,
-1.5,
-1.5,
-1,
-0.25,
-0.5,
1.5,
-0.25,
1.75,
-1.75,
0.25,
-2,
-3.75,
2.25,
0.75,
1.25
] | 0.97096 | [
-2.1613071108575745,
-1.5447454863324994,
-1.4825662710152618,
-1.5758223391573467,
1.479956722685747,
-0.7607647264218023,
-1.9386036958086086,
0.7225391062238032,
-0.1740739787811622,
0.6152625729227833,
0.43348150699055016,
-0.5775873533904713,
0.2702775860037029,
-1.5897372117565165,
... | {
"n_parameters": 30,
"n_qubits": 10,
"optimal_eigenvalue": -22.5,
"target_ratio": 0.97,
"target_value": -21.825
} | 45 |
88db82b281e553a316057249c291c2f0 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [1000, 1002], "expectation_value": -2.4659110946479665, "params": [0.0844, 0.24000000000000002, 0.0849, 0.2399, 0.49310000000000004, 0.09090000000000001, 0.4887, 0.0304, 0.3511, -0.0071, 0.35100000000000003, 0.0036000000000000003, 0.4939, -0.0151, 0.4978, -0.0083, 0.496, 0.0028, 0.49110000000000004, 0.0059, ... | 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(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 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(3) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(6)) + -0.125 * (Z(... | 7 | 11 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 23, "first_excited_energy": -2.25, "smallest_bitstrings": ["10110000001", "00111000001", "00110000... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.02901302368530102) q[0];
rz(-0.2598228595523726) q[0];
rx(0.41948779045408124) q[1];
rz(-0.20717763396566863) q[1];
rx(0.5962678599760157) q[2];
rz(0.18054622282290922) q[2];
rx(1.2074841165746684) q[3];
rz(0.15055545469075332) q[3];
rx(0.5108577597682668) q[4];
r... | 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;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIZIIZIII",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIZZZIII",
"IIIIZIZZIII",
"IIIIZZIZIII",
"IIIIZZZIIII",
"IIIIZZZZIII",
"IIIZIIIZIII",
"IIZIIIIZIII",
"IIZZIIIIIII",
"IIZZIIIZI... | [
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,
0.25,
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,
0.25... | 0.974228 | [
0.029013023685301023,
-0.37467712167214084,
0.41948779045408124,
-0.20717763396566863,
0.5962678599760157,
0.18054622282290922,
1.2074841165746684,
0.15055545469075332,
0.5108577597682668,
-0.4453880594579994,
0.6564683963198464,
0.012170322637544778,
0.6145666603714796,
0.2942868746902721... | {
"n_parameters": 128,
"n_qubits": 11,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 86 |
ea6f28b1d52734982303edc3e4a649bb | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 13, "source": 1, "target": 6}, {"weight": 11, "source": 1, "target": 5}, {"weight": 8, "source": 2, "target": 3}, {"... | {"states": [206, 110], "expectation_value": -19.079961038137462, "params": [[0.0358, 0.0109], [-0.0799, -0.0658]], "bitstrings": ["00110001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.011706299517341498, 0.013070807960420209], "optimization_time": 4.015946626663208} | 4.0 * (Z(0) @ Z(2)) + 4.0 * (Z(1) @ Z(2)) + 4.0 * (Z(1) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 6.5 * Z(2) +... | 1 | 8 | 2 | {"smallest_eigenvalues": [-62.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -56.5, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 148.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.010579390403300512) q[0];
rz(0.5032633397346796) q[0];
ry(-0.16775742047494524) q[1];
rz(0.4239821625260418) q[1];
cx q[1], q[0];
ry(0.08641991018112673) q[0];
rz(0.8114268101915858) q[0];
ry(0.11118927672779633) q[1];
rz(-0.5652374082435947) q[1];
ry(0.30165731961... | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIIZZ",
"IIIZIIZI",
"IIIZZIII",
"IIZIZIII",
"IZIIIIZI",
"IZIZIIII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6.5,
3.5,
17.5,
13.5,
8,
11.5,
20.5,
11.5
] | 0.970089 | [
0.010579390403300512,
0.5032633397346796,
-0.16775742047494524,
0.4239821625260418,
0.30165731961222375,
-0.16334054591635155,
-0.08287043178903097,
-0.6586726372166358,
0.30175015715223785,
0.9393288219767209,
0.1699036987785315,
-0.04037235258249219,
-0.14445755865650717,
0.4806517596819... | {
"n_parameters": 55,
"n_qubits": 8,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 29 |
d081b5ece414d97b04408b0b42241cfc | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [527, 1551], "expectation_value": -8.144734274957244, "params": [[0.11470000000000001, -0.0256], [-0.14350000000000002, -0.1459]], "bitstrings": ["10111110000", "00111110000"], "total_optimization_steps": 20, "probabilities": [0.0019284884679128343, 0.0020094751874331464], "optimization_time": 6.765179395675... | 0.375 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.375 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(8)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(8)) + -... | 1 | 11 | 2 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["00111110000"], "largest_eigenvalue": 36.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.5886822951887793) q[0];
rz(0.06203987904640096) q[0];
rx(0.3684099261178423) q[1];
rz(0.3348218640846716) q[1];
rx(0.008886848508656647) q[2];
rz(0.15365930854882714) q[2];
rx(0.2789766364531309) q[3];
rz(-0.20477518601672084) q[3];
rx(0.030111471164943775) q[4];
... | 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[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIZIIIIZII",
"IIZZIIIIIII",
"IIZIIIIIZII",
"IIIZIIIZIII",
"IIIIIIIZZII",
"IIZIIIIZIII",
"IIIZIIZIIII",
"IIIIIIZIZII",
"IIZIIIZIIII",
"IIIIIIZZIII",
"IIIZIZIIIII",
"IIIIIZIIZII",
"IIZIIZIIIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IZIZIIIIIII",
"IZZIIIIIIII",
"IZIIIIZII... | [
0.375,
0.5,
1,
0.5,
0.5,
0.375,
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,
1,
1,
1,
2,
-0.5,
-0.5,
-1,
0.75,
0.75,
3.5,
0.75,
3.5,
0.75,
0.5,
-1,
4,
8,
-1.5
] | 0.973976 | [
0.5886822951887795,
0.08596177347016964,
0.36840992611784235,
0.15047685235525898,
0.008886848508656647,
0.2981601685176529,
0.27897663645313087,
-0.05594064637820155,
0.03011147116494378,
-0.003248166825648227,
-0.012056173888535658,
-0.17191262332465457,
0.08692174155409721,
-0.351149555... | {
"n_parameters": 153,
"n_qubits": 11,
"optimal_eigenvalue": -16.25,
"target_ratio": 0.97,
"target_value": -15.7625
} | 12 |
bd53e0f03f0d19af6cb39bf47cf396d2 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [53, 61], "expectation_value": -9.499999960416321, "params": null, "bitstrings": ["1001010", "1000010"], "total_optimization_steps": 47, "probabilities": [0.49999999583450017, 0.49999999583450017], "optimization_time": 40.26082229614258} | -0.75 * (Z(0) @ Z(5)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(4)) + -1.0 * (Z(3) @ Z(5)) + -2.5 * Z(5) + -0.25 * Z(0) + -0.75 * Z(6) + 1.5 * Z(1) + -0.25 * Z(4) + 1.25 * Z(2) + 1.0 * Z(3) | 1 | 7 | 4 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["1000010", "1001010"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.7043656534273358) q[0];
h q[1];
ry(1.535989113406412) q[1];
h q[2];
ry(0.7877722373943765) q[2];
h q[3];
h q[4];
ry(0.7877722373943765) q[4];
cx q[1], q[4];
ry(-0.7877722373943765) q[4];
cx q[1], q[4];
cx q[1], q[0];
cx q[4], q[2];
ry(0.7043656534273358) q... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\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];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IZIIIIZ",
"ZIIIIIZ",
"ZIIIIZI",
"IIZIIZI",
"IZIIZII",
"ZIIIZII",
"IIZIZII",
"IZIZIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIZIIII",
"IIIIZII",
"IIIZIII"
] | [
-0.75,
1,
-0.5,
-1.5,
-0.75,
-1.25,
-0.75,
-1,
-2.5,
-0.25,
-0.75,
1.5,
-0.25,
1.25,
1
] | 0.998945 | [
-1.629771341725018,
1.535989113406412,
1.575544474788753,
-1.4087313068546716,
-0.1237302936379537,
-0.020395894215535604
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 1 |
ecd2aa1156c9a1f1a8b59cf2fc8ed105 | connected_components | 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}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}, {"id": 15}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"sourc... | {"states": [1024, 0], "expectation_value": -95.99934861106514, "params": [-0.0036000000000000003, 0.0028, -0.0031000000000000003, 0.0089, -0.0029000000000000002, 0.0013000000000000002, -0.002, 0.0032, -0.0051, 0.0074, -0.0021000000000000003, 0.0037, -0.0031000000000000003, 0.0049, -0.0022, 0.0051, -0.002400000000000000... | -3.5 * (Z(0) @ Z(1)) + -3.0 * (Z(3) @ Z(1)) + -3.5 * (Z(3) @ Z(0)) + -3.5 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + -3.5 * (Z(4) @ Z(3)) + 1.5 * (Z(5) @ Z(1)) + -3.5 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(3)) + -3.5 * (Z(5) @ Z(4)) + 1.5 * (Z(6) @ Z(1)) + -4.0 * (Z(6) @ Z(0)) + 1.5 * (Z(6) @ Z(3)) + -4.0 * (Z(6) @ Z(4)) + 1... | 4 | 15 | 1 | {"smallest_eigenvalues": [-103.99999999999956], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -98.9999999999994, "smallest_bitstrings": ["111111111111111"], "largest_eigenvalue": 78.99999999999983} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
rx(0.0001738107387536538) q[0];
rz(1.5504584257311143) q[0];
rx(-0.00017632750170468511) q[1];
rz(1.6098003368759706) q[1];
rx(0.000204552523975661) q[2];
rz(1.3016641477812803) q[2];
rx(-0.00031970522913701296) q[3];
rz(1.6200350319971548) q[3];
rx(6.642009432666623e-... | 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[... | {"node": 13} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIZIZI",
"IIIIIIIIIIIZIIZ",
"IIIIIIIIIIZIIZI",
"IIIIIIIIIIZIIIZ",
"IIIIIIIIIIZZIII",
"IIIIIIIIIZIIIZI",
"IIIIIIIIIZIIIIZ",
"IIIIIIIIIZIZIII",
"IIIIIIIIIZZIIII",
"IIIIIIIIZIIIIZI",
"IIIIIIIIZIIIIIZ",
"IIIIIIIIZIIZIII",
"IIIIIIIIZIZIIII",
"IIIIIIIIZZIIIII",
"... | [
-3.5,
-3,
-3.5,
-3.5,
-3,
-3.5,
1.5,
-3.5,
-3.5,
-3.5,
1.5,
-4,
1.5,
-4,
1.5,
-3.5,
1.5,
-4,
1.5,
1,
-3.5,
0.5,
1,
1,
1,
-3.5,
-3,
-3,
-3,
-4,
-4,
-4,
1,
-4,
-4,
1,
-4,
2.5,
-3.5,
1,
-4,
-3.5,
-3.5,
2,
0.5,
-4,
-3.5,
-3.5,... | 0.923077 | [
0.00017381073875365384,
-0.020337901063782395,
-0.00017632750170468514,
0.039004010081074514,
0.00020455252397566103,
-0.26913217901361663,
-0.000319705229137013,
0.04923870520225869,
0.00006642009432666622,
0.17270406364041463,
-0.00008041575290970783,
-0.18716599796962102,
0.10195578329801... | {
"n_parameters": 40,
"n_qubits": 15,
"optimal_eigenvalue": -103.99999999999956,
"target_ratio": 0.97,
"target_value": -100.87999999999957
} | 300 |
edc3bac605c0e8fb4f027513dd92e8fb | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [20, 6], "expectation_value": -3.473756712958944, "params": null, "bitstrings": ["01011", "11001"], "total_optimization_steps": 15, "probabilities": [0.07348052951562349, 0.9007122774688736], "optimization_time": 6.958261489868164} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(4) + -0.5 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["11001", "01011"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.16175234084033957) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.16175234084033957) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.16175234084033957) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.16175234084033957) q[4];
c... | 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(-1.5708) 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]... | [
"IIIZZ",
"IZIZI",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"ZZIII",
"IIZZI",
"ZIZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1.5,
-0.5
] | 0.972373 | [
-0.16175234084033957,
-1.87532801107341,
-0.05801357308838576,
0.10605362145925226,
-1.1416650171566816,
0.4399114001229122,
1.0360662674525876,
-1.009520344317765,
0.7718866700779633,
-0.5658460915133537,
0.2880179831430165,
-2.7932233839467817,
-0.24448320489468112,
-0.7290022026259505,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 239 |
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