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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
d1e337a2e105918e8c64bf021321a2d3 | connected_components | adaptive_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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target": 6}, {"source": 5, "target": 6}]} | {"states": [44, 60], "expectation_value": -5.077253741807403, "params": null, "bitstrings": ["010011", "000011"], "total_optimization_steps": 31, "probabilities": [0.23054881933671115, 0.5263401243800264], "optimization_time": 17.67550301551819} | -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)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + -1.0 * Z(5) + -1.0 * Z(4) | 5 | 6 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["000011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.1250101749676743) q[0];
h q[1];
ry(0.20959771976513494) q[1];
h q[2];
ry(1.7180141321038174) q[2];
h q[3];
cx q[3], q[1];
ry(-0.20959771976513494) q[1];
cx q[3], q[1];
cx q[1], q[0];
ry(-0.1250101749676743) q[0];
cx q[1], q[0];
ry(1.5837809674018735) q[3];
... | null | {"node": 6} | {"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];\ncry(1.5706) q[3], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IIIZZI",
"IIIZIZ",
"IIZZII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IIIZII",
"ZIIIII",
"IZIIII"
] | [
-2,
-2,
-1.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.970501 | [
0.4191954395302699,
0.2500203499353486,
3.167561934803747,
0.39601762078621333,
3.4360282642076347,
-1.431777043166703,
-1.0726156679952932,
2.4472778962911232,
-1.7140095510696993,
-1.1779722872815033,
-0.19288942722124652,
-0.9021325308104403,
2.0540666932332177,
0.13607092260007048,
-... | {
"n_parameters": 20,
"n_qubits": 6,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 108 |
87ec01bbf16fcf68c8ab4d8297ddb92e | 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": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [622, 614], "expectation_value": -79.00291222176946, "params": [-0.0026000000000000003, 0.007500000000000001, 2.4953000000000003, 0.0043, 1.4762000000000002, 0.001, -0.0024000000000000002, 0.0059, 2.5017, 0.008, 2.507, 0.003, 1.2775, 0.0049, 1.4872, 0.0098, 2.5045, 0.0039000000000000003, 2.4978000000000002, ... | 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(4) @ Z(6)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(9) @ Z(2)) + 6.5 * (Z(9) @ Z(5)) + 6.5 * (Z(9) @ Z(7)) + 6.5 * (Z(9) @ Z(8)) + 6.5 * (Z(10) @ Z(1)) + 6.5 * (Z(10) @ Z(8)) + 7.5 * Z(2)... | 18 | 11 | 1 | {"smallest_eigenvalues": [-124.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -108.5, "smallest_bitstrings": ["10110011001"], "largest_eigenvalue": 225.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.16868124531150305) q[0];
rz(-0.08592238596596458) q[0];
rx(3.195946027252964) q[1];
rz(-0.29340706483802914) q[1];
rx(0.36703596019409845) q[2];
rz(0.28402369773676034) q[2];
rx(-0.14138222701603795) q[3];
rz(-0.48679030134451456) q[3];
rx(3.2071289441195514) 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[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIZIIZII",
"IIIIZZIIIII",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIZIIZIIII",
"IIZIIIIIIZI",
"IIZZIIIIIII",
"IZIIIIIIZII",
"IZIIIZIIIII",
"IZIZIIIIIII",
"IZZIIIIIIII",
"ZIIIIIIIIZI",
"ZIZIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IIIIIIZII... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
7.5,
12,
18.5,
4,
16,
8,
22.5,
22.5,
5,
-8,
-10.5
] | 0.973881 | [
0.16868124531150308,
-0.03130040281554032,
3.195946027252964,
-0.29340706483802914,
0.36703596019409845,
0.28402369773676034,
-0.14138222701603795,
-0.48679030134451456,
3.2071289441195514,
-0.293768590615255,
2.8700487189269235,
-0.3152087476284065,
0.35102270010151576,
0.5292918048568709... | {
"n_parameters": 32,
"n_qubits": 11,
"optimal_eigenvalue": -124.5,
"target_ratio": 0.97,
"target_value": -120.765
} | 16 |
2c6adc04456c07f756e946e604f895a5 | 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": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"sour... | {"states": [255, 254], "expectation_value": -0.8325615988442061, "params": [[-0.0504], [0.055200000000000006]], "bitstrings": ["00000000", "00000001"], "total_optimization_steps": 10, "probabilities": [0.0053520741649850006, 0.005411820704636473], "optimization_time": 3.746727228164673} | -1.0 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + -2.5 * (Z(6) @ Z(2)) + -2.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["00000001"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.6633611492906473) q[0];
cx q[1], q[0];
rz(0.0992925666019886) q[0];
rx(1.0044258151940728) q[0];
rz(0.0992925666019886) q[1];
rx(1.0044258151940728) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.6057287624148863) q[2];
cx q[3], q[2];
h 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",
"IIZIZIII",
"IIZIIZII",
"IIZZIIII",
"IZIIZIII",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
-1,
-2.5,
-2,
-2.5,
0.5,
-2.5,
0.5,
-2,
-2.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.547218 | [
1.6633611492906473,
0.6057287624148863,
0.7800116243778195,
0.09929256660198826,
1.5707962322533187,
1.0044258151940728
] | {
"n_parameters": 6,
"n_qubits": 8,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 171 |
74a9039e61abdfc370e0e9ccbda58085 | 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": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 5}]} | {"states": [18, 45], "expectation_value": -0.30797552973791453, "params": [[0.0614, 0.0332, 0.0645], [-0.0649, -0.0253, -0.0472]], "bitstrings": ["101101", "010010"], "total_optimization_steps": 10, "probabilities": [0.020018456464194583, 0.021495227798347904], "optimization_time": 3.0050597190856934} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + 0.0 * Z(3) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["010010"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.477440440231795) q[0];
ry(-0.06728346725284151) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.022464637706429983) q[2];
ry(-0.14026191198045032) q[3];
rz(-pi) q[3];
h q[4];
h q[5];
ry(-0.5587307208019142) q[5];
cx q[4], q[5];
ry(0.5587307208019142) q[5];
cx 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] 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[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIIZ",
"IIZIZI",
"ZIIIZI",
"ZZIIII",
"IIIZZI",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIZIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
0,
-0.5,
0
] | 0.985036 | [
-1.51259205572021,
-1.455297284188031,
-1.5790493769346474,
1.477440440231795,
-1.1174614416038284,
0.8138164984265778,
-0.3239264793788754,
0.4355121917407859,
-0.29038767173572155,
-0.09643115070804845,
-0.028423175133358375,
0.06490628447523733,
0.1641152818115272,
-0.1905830969119133,
... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -2.625,
"target_ratio": 0.97,
"target_value": -2.54625
} | 1 |
5008395289420912041 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[2, 7], [8, 10, 2], [9, 2, 3, 4], [8, 2, 3, 4], [9, 2, 4, 1], [0, 7], [1, 5, 6], [4, 6], [8, 9, 10, 4], [9, 10, 1], [3, 6], [8, 1, 10, 5], [2, 6], [0, 9, 6], [1, 7], [5, 7], [1, 10, 4], [0, 9, 4, 5]]} | {"states": [2035, 2032], "expectation_value": -3.8488182869276395, "params": [1.2006000000000001, 0.0039000000000000003, 1.1949, 0.0012000000000000001, 1.1974, -0.0023, 1.1903000000000001, -0.0038, 0.9953000000000001, -0.083, 0.9906, 0.0014, 1.1932, -0.0098, 1.1874, 0.0004, 1.1914, -0.0022, 1.1898, 0.0022, 1.1636, 0.00... | 0.5 * (Z(3) @ Z(8)) + 0.25 * (Z(9) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.3333333333333333 * (Z(2) @ Z(9)) + 0.16666666666666666 * (Z(10) @ Z(3)) + 0.08333333333333333 * (Z(10) @ Z(9)) + 0.25 * (Z(10) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(9)) + 0.08333333333333333 * ... | 8 | 11 | 1 | {"smallest_eigenvalues": [-5.916666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.666666666666667, "smallest_bitstrings": ["00000001111"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.5551772728209503) q[0];
rz(1.4254434703069148) q[0];
rx(1.5585829005004483) q[1];
rz(0.12900025844920188) q[1];
cx q[1], q[0];
ry(-0.06524459099839452) q[0];
cx q[1], q[0];
ry(1.6492739010129573) q[0];
rz(-1.5061757965168447) q[0];
rx(1.1782894456865114) q[1];
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": []} | [
"IIZIIIIZIII",
"IZIIIIIZIII",
"IIIIIIIZZII",
"IZIIIIIIZII",
"ZIIIIIIZIII",
"ZZIIIIIIIII",
"ZIIIIIIIZII",
"IIIIIIZZIII",
"IZIIIIZIIII",
"ZIIIIIZIIII",
"IIIIIZIZIII",
"IZIIIZIIIII",
"IIIIIZIIZII",
"ZIIIIZIIIII",
"IIIIIZZIIII",
"IIZIIIIIIZI",
"IIIIIIIZIZI",
"IZIIIIIIIZI",
"IIIIIIIIZ... | [
0.5,
0.25,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.08333333333333333,
0.25,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.25,
0.16666666666666666,
0.25,
0.3333333333333333,
0.16666666666666666,
0.5,
0.08333333333333333,
0.08333333333333333... | 0.976674 | [
1.5551772728209505,
-0.14535285648798185,
1.5585829005004483,
0.12900025844920188,
1.444331670651212,
-0.10454397418330016,
1.3294521355097006,
-0.03307133077149174,
1.5157249255131136,
0.21728780521487057,
1.261961853530458,
-0.23922420064027072,
1.8764233891458708,
-0.12236282645582068,
... | {
"n_parameters": 54,
"n_qubits": 11,
"optimal_eigenvalue": -5.916666666666667,
"target_ratio": 0.97,
"target_value": -5.739166666666667
} | 27 |
4171390548322204650 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 5, 6], [0, 8, 3, 4], [9, 5, 6], [8, 5], [8, 6], [0, 1, 3, 5], [0, 9, 2], [8, 4, 7], [2, 4, 6, 7], [9, 4, 6, 7], [0, 6], [1, 7], [0, 1, 5, 9], [1, 2, 4, 5, 9], [0, 1, 4], [9, 3, 1]]} | {"states": [505, 504], "expectation_value": -2.714040440193077, "params": [0.5785, -0.2922, 0.5767, 0.0064, 1.1903000000000001, -0.0304, 0.9723, 0.0473, 1.1991, 0.0022, 1.2012, 0.008, 1.189, 0.0023, 1.1883000000000001, 0.0077, 1.202, 0.0036000000000000003, 1.2025000000000001, 0.0077, 1.1914, -0.0013000000000000002, 1.1... | 0.3833333333333333 * (Z(1) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.3333333333333333 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.08333333333333333 * (Z(8) @ Z(0)) + 0.08333333333333333 * (Z(3) @... | 8 | 10 | 1 | {"smallest_eigenvalues": [-4.200000000000002], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.033333333333333, "smallest_bitstrings": ["1000000111"], "largest_eigenvalue": 14.000000000000005} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.03843466169755548) q[0];
rz(1.7142479883454422) q[0];
rx(1.1654106582320218) q[1];
rz(-0.004422046749080404) q[1];
cx q[1], q[0];
ry(-0.043963082518975835) q[0];
cx q[1], q[0];
ry(0.1571822575880338) q[0];
rz(-1.8479748376927003) q[0];
rx(1.1127479552102164) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIZI",
"IIIZZIIIII",
"IIIZIIIIZI",
"IIIIZIIIIZ",
"IIIIIIIIZZ",
"IIIZIIIIIZ",
"IZIIZIIIII",
"IZIZIIIIII",
"IZIIIIIIIZ",
"IIIIZIZIII",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IZIIIIZIII",
"IIIIZZIIII",
"IIIIIZIIZI",
"IIIZIZIIII",
"IIIIIZIIIZ",
"IZIIIZIIII",
"IIIIIZZIII",
"ZIIIZIIIII"... | [
0.3833333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.5,
0.5,
0.08333333333333333,
0.08333333333333333,
0.25,
0.16666666666666666,
0.08333333333333333,
0.05,
0.21666666666666667,
0.16666666666666666,
0.25,
0.25,
0.08333333333... | 0.976727 | [
0.03843466169755548,
0.14345166155054592,
1.1654106582320218,
-0.004422046749080404,
1.7176088832837455,
-0.05939633827030362,
1.2463013427242806,
0.005257431637728224,
1.7681943735260628,
0.09857062757572363,
1.1810565791983203,
0.23704292574701435,
1.5278069007604589,
-0.0381786753984847... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -4.200000000000002,
"target_ratio": 0.97,
"target_value": -4.074000000000002
} | 29 |
9b336e55ba858ea769c953b6771bcbc6 | 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": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [174, 302], "expectation_value": -74.62737956909277, "params": [-0.9051, -0.9092, 1.6288, 1.5172, 0.0022, 0.0028, 1.5832000000000002, 1.5631000000000002, 0.2762, -0.1689, 1.5733000000000001, 1.5735000000000001, 2.0993, 1.0173, 1.5681, 1.568, 0.0733, -0.0683, 0.029300000000000003, 3.2029, 1.2203000000000002, ... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(5) @ Z(7)) + 7.0 * (Z(5) @ Z(8)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(6) @ Z(8)) + 7.0 * (Z(6) @ Z(5)) + 4.5 * Z(1) + -1.5 * Z(0) + -3.0 * Z(4) + 7.0 * Z(3) + 20.0 * Z(7) + 9.0 * Z(8) + 20.5 * Z(5) + 16.5 ... | 14 | 9 | 1 | {"smallest_eigenvalues": [-75.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.5, "smallest_bitstrings": ["011010001"], "largest_eigenvalue": 152.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.9152015934143437) q[0];
rz(pi/2) q[0];
ry(1.4723770064037514) q[1];
ry(-0.05135249339173876) q[2];
ry(1.6578720482135367) q[3];
ry(0.16255283383005753) q[4];
ry(1.6159341952414508) q[5];
ry(2.211655581432925) q[6];
ry(1.581537809620001) q[7];
ry(0.0918527286402041... | 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], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZZIII",
"IZIIIIIZI",
"ZZIIIIIII",
"IIIZIZIII",
"IZIZIIIII",
"ZIIZIIIII",
"IZZIIIIII",
"ZIZIIIIII",
"IIZZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIZIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIZIIIII",
"IIZIIIIII",
"IIIIIIZII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
4.5,
-1.5,
-3,
7,
20,
9,
20.5,
16.5,
-9.5
] | 0.978819 | [
-0.9152015934143437,
1.4723770064037514,
-0.05135249339173876,
1.6578720482135367,
0.16255283383005753,
1.6159341952414508,
2.211655581432925,
1.581537809620001,
0.09185272864020412,
-0.12042089540160958,
-0.03342043614394605,
0.6567953566082576,
0.06089241433134773,
1.73300916431042,
-0... | {
"n_parameters": 34,
"n_qubits": 9,
"optimal_eigenvalue": -75.5,
"target_ratio": 0.97,
"target_value": -73.235
} | 1 |
6546007efe380a6404e96465ab5a20ad | 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": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [171, 181], "expectation_value": -36.04025466413903, "params": [[[0.8972, 0.5745], [0.9014000000000001, 0.28150000000000003], [0.4781, 0.22260000000000002], [0.8955000000000001, 0.8938], [0.8835000000000001, 0.2607], [0.4712, 0.8994000000000001], [0.2131, 0.9016000000000001], [0.2919, 0.8597], [-0.7703, 0.69... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(6) @ Z(8)) + 6.5 * (Z(6) @ Z(7)) + -3.5 * Z(0) + 6.5 * Z(1) + 0.5 * Z(2) + 8.5 * Z(3) + 7.0 * Z(4) + 4.5 * Z(5) + 16.5 * Z(8) + 5.0 * Z(7) + 7.0 * Z(6) | 15 | 9 | 2 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["101001010"], "largest_eigenvalue": 110.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.6343211819381362) q[0];
ry(1.1460010129328582) q[1];
ry(0.323914867325907) q[2];
ry(1.0223673667992674) q[3];
ry(0.7982423567010866) q[4];
ry(0.20226890382340693) q[5];
ry(0.11400141369675189) q[6];
ry(-0.035384393294733925) q[7];
ry(-0.9297630051380567) q[8];
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, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIZIZIII",
"IIIZZIIII",
"ZIIIIIIZI",
"ZZIIIIIII",
"ZIZIIIIII",
"IZZIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIZIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
-3.5,
6.5,
0.5,
8.5,
7,
4.5,
16.5,
5,
7
] | 0.971553 | [
1.6343211819381362,
1.1460010129328582,
0.323914867325907,
1.0223673667992674,
0.7982423567010866,
0.20226890382340693,
0.11400141369675189,
-0.035384393294733925,
-0.9297630051380567,
-0.017841347038812468,
-0.010676880551444046,
0.03115192638744741,
-0.034871417755775055,
-0.159279664351... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 53 |
88e46749283bf86030d6180fbff63b7d | 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": 5}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 7}, {"source": 2, "target": 4}, {"sour... | {"states": [149, 157], "expectation_value": -5.026897549912572, "params": [[-0.0058000000000000005, 0.791, -0.0033, -0.057, 0.9973000000000001, 0.049800000000000004, 0.9929, -0.0035, 0.7872], [0.0013000000000000002, 0.7877000000000001, -0.0026000000000000003, -0.0189, 1.0042, 0.6847000000000001, 0.9952000000000001, -0.... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + -0.5 * Z(5) + -1.0 * Z(0) + -1.5 * Z(7) + -1.0 * Z(8) + 0.0 * Z(1) + -1.0 * Z(2) + 0.0 * Z(4) + -0.5... | 10 | 9 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["101000110", "101100010"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.03549757013250157) q[0];
ry(0.7426072959784553) q[1];
ry(-0.23782993237578293) q[2];
ry(0.036252377670475906) q[3];
ry(1.1471085072656395) q[4];
ry(-0.3872050059346561) q[5];
ry(1.1636196257043152) q[6];
ry(0.07518339174856101) q[7];
ry(0.5942722612428261) q[8];
c... | 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": []} | [
"IIIZIIIIZ",
"IZIZIIIII",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IZIIIIIZI",
"ZIIIIIZII",
"IIIIZIZII",
"IIZIIIZII",
"IIZIIZIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIZIIIIII",
"IIIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
-1,
0,
-1,
0,
-0.5,
0
] | 0.973085 | [
-0.03549757013250157,
0.7426072959784553,
-0.23782993237578293,
0.036252377670475906,
1.1471085072656395,
-0.3872050059346561,
1.1636196257043152,
0.07518339174856101,
0.5942722612428261,
-0.04258567291135274,
0.7314916052706215,
0.20807662606299032,
-0.2254214274736677,
1.0710120033975186... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 10 |
788893f2d0502b688315a8e438b63984 | 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": 2, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 7, "s... | {"states": [0, 255], "expectation_value": -22.042490419272934, "params": [[[-0.008400000000000001, -0.47700000000000004], [-0.0027, 0.0047], [-0.0028, -0.0024000000000000002], [-0.0028, 0.002], [-0.0015, -0.0016], [-0.0022, 0.0017000000000000001], [-0.0019, 0.0022], [0.0146, -0.6646000000000001], [0.9702000000000001, -... | -0.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(0)) + 4.25 * (Z(8) @ Z(0)) + -1.5 * (Z(8) @ Z(6)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -1.75 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(2)) + -1.5 * (Z(7) @ Z(6)) + -1.75 * (Z(7) @ Z... | 15 | 9 | 2 | {"smallest_eigenvalues": [-22.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 21.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.2093917706819032) q[0];
ry(0.04127060081754783) q[1];
ry(-0.019569081278429344) q[2];
ry(-0.019569081278429344) q[3];
ry(0.02197258751737647) q[4];
ry(0.007840515537099434) q[5];
ry(0.017628468198506612) q[6];
ry(-0.16118253539208177) q[7];
ry(1.187256182683395) 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": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIIIZIZI",
"IIIIIZZII",
"IZIIIIIZI",
"IZIIIIZII",
"IZZIIIIII",
"ZZIIIIIII",
"IZIIIZIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZZIIII",
"IIZZIIIII",
"ZIIZIIIII",
"IIIZIZIII",
"... | [
-0.5,
-1.5,
-1.5,
-0.25,
-0.5,
-1.75,
4.25,
-1.5,
-0.75,
-1,
-1.75,
-0.5,
-1.5,
-1.75,
-1.75,
-1.5,
-1,
-1,
-1.25,
-1,
-1.5,
-2.25,
-2.5,
-0.25,
-1.5,
0.75,
2.5,
0,
0.5,
1,
-0.5
] | 0.970357 | [
0.2093917706819032,
0.04127060081754783,
-0.019569081278429344,
0.02197258751737647,
0.007840515537099434,
0.017628468198506612,
-0.16118253539208177,
1.187256182683395,
-0.443443102884173,
0.006207324591877363,
-0.005541982139036582,
-0.03896894827650145,
-0.01956509030862061,
-0.00227828... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -22.75,
"target_ratio": 0.97,
"target_value": -22.0675
} | 56 |
9e2f7db4799f17cc9c106d265812fcd0 | 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": [51, 55], "expectation_value": -84.43203178781714, "params": [[[1.3982, 0.39280000000000004], [0.0434, 0.38520000000000004], [0.1005, 0.14880000000000002], [-0.0078000000000000005, 0.9292], [0.0047, 1.3936000000000002], [0.1331, 1.0781], [0.1287, 1.4023], [1.2756, 1.3876000000000002], [-0.0317, 0.8354], [-0.... | 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(2) @ Z(5)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(7) @ Z(2)) + 7.0 * (Z(8) @ Z(4)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(9) @ Z(8)) + 7.0 * (Z(1) @ Z(9)) + -3.5 * Z(3) + 14.0 * Z(4) + 15.0 * Z(5) + 3.0 * Z(2) + 8.5 * Z(6) + 6.0 * Z(7) + 17.0 * Z(8) + 5.5 *... | 15 | 10 | 2 | {"smallest_eigenvalues": [-92.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "smallest_bitstrings": ["1111001000"], "largest_eigenvalue": 139.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.5993931311472784) q[0];
ry(-0.2920954704000567) q[1];
ry(0.14894198572021278) q[2];
ry(0.24549327471503532) q[3];
ry(-0.09221006861012093) q[4];
ry(0.07368054674727226) q[5];
ry(0.07667141842909239) q[6];
ry(0.7039361925160221) q[7];
ry(-0.2976766630864113) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZZIII",
"IIIIZIIZII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IIZIIIIZII",
"IZIIIZIIII",
"IZIZIIIIII",
"ZZIIIIIIII",
"ZIIIIIIIZI",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIIIIIZII",
"IIIZIIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
-3.5,
14,
15,
3,
8.5,
6,
17,
5.5,
-5.5,
-9.5
] | 0.971545 | [
1.5993931311472784,
-0.2920954704000567,
0.14894198572021278,
0.24549327471503532,
-0.09221006861012093,
0.07368054674727226,
0.07667141842909239,
0.7039361925160221,
-0.2976766630864113,
-1.4203081505741988,
0.1877851095316891,
0.1581240200334692,
0.10721046553775428,
0.9857996698166557,
... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -92.5,
"target_ratio": 0.97,
"target_value": -89.725
} | 183 |
6446c2e39f9d792cb9f32c544e2de260 | 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": 4, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 6}, {"weight": 9, "source": 2, "target": 3}, {"weight": 15, "source": 2, "targ... | {"states": [252, 188], "expectation_value": -29.54943404636976, "params": [[0.0246, 0.006500000000000001, 0.0015, -0.017], [-0.06910000000000001, -0.0683, -0.0703, -0.053000000000000005]], "bitstrings": ["100000011", "101000011"], "total_optimization_steps": 10, "probabilities": [0.008709093830322723, 0.012197188501051... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 13.0 * Z(1) + -2.5 * Z(0) + 12.0 *... | 1 | 9 | 4 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["101000011"], "largest_eigenvalue": 145.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.015041700456482638) q[0];
cx q[1], q[0];
rz(1.4443264567556788) q[0];
rx(1.619282026596157) q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.015041700456482638) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(-0.015041700456482638) q[4];
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[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IIZIIIZII",
"IIIZIIIZI",
"IIIZIIZII",
"IIZZIIIII",
"IZIIIZIII",
"IZIIZIIII",
"ZIIIIIIZI",
"ZIZIIIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"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,
-2.5,
12,
13.5,
12,
12,
17.5,
2.5,
7
] | 0.975026 | [
-0.015041700456482638,
-1.5570698361898603,
1.4443264567556788,
-1.5438767477979454,
0.832318823873067,
-1.7666330798977976,
1.725742337624804,
1.903105399228118,
1.619282026596157,
0.06117202732973989,
1.5038150213013086,
-0.7673798844218126,
2.540222997992164,
0.46278776046781567,
1.63... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -77.5,
"target_ratio": 0.97,
"target_value": -75.175
} | 63 |
567723478831882106 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 3, 4], [9, 1], [9, 2, 3], [9, 3, 7], [1, 2, 3, 6, 7, 8], [0, 1, 3, 7, 8], [0, 9, 5], [8, 4, 5], [0, 2, 4, 6, 8, 9]]} | {"states": [623, 619], "expectation_value": -2.0420448827508606, "params": [1.2973000000000001, -0.1091, 1.2968, 0.0014, 0.6956, 0.16920000000000002, 0.37560000000000004, 0.006900000000000001, 1.0752000000000002, 0.1521, 0.8728, 0.0001, 1.2988, -0.13240000000000002, 1.2949000000000002, 0.0018000000000000002, 1.2963, -0... | 0.25 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(1)) + 0.03333333333333333 * (Z(9) @ Z(4)) + 0.19999999999999998 * (Z(2) @ Z(3)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(4)) + 0.19999999... | 6 | 10 | 1 | {"smallest_eigenvalues": [-2.6333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4333333333333336, "smallest_bitstrings": ["0110010100"], "largest_eigenvalue": 8.499999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.4401261715257019) q[0];
rz(1.653282378728707) q[0];
rx(0.7363865098030591) q[1];
rz(1.569641395449227) q[1];
rx(0.2514423536636729) q[2];
rz(1.790722441633732) q[2];
rx(1.4573014372960047) q[3];
rz(1.5359415932360303) q[3];
rx(1.4803486886452477) q[4];
rz(1.614896... | 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": []} | [
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIIIZIIZI",
"ZIIIIIZIII",
"ZIIIIIIIZI",
"ZIIIIZIIII",
"IIIIIIZZII",
"IIIIIIIZZI",
"IIIIIZIZII",
"ZIIIIIIZII",
"IIZIIIZIII",
"IIZIIIIIZI",
"ZIZIIIIIII",
"IIZIIIIZII",
"IIIZIIZIII",
"IIIZIIIIZI",
"IIIZIZIIII",
"ZIIZIIIIII",
"IIIZIIIZII",
"IIZZIIIIII"... | [
0.25,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.03333333333333333,
0.19999999999999998,
0.03333333333333333,
0.03333333333333333,
0.19999999999999998,
0.25,
0.08333333333333334,
0.16666666666666666,
0.03333333333333333,
0.03333333333333333,
0.0333333333333333... | 0.970056 | [
1.440126171525702,
0.08248605193381035,
0.7363865098030591,
-0.0011549313456694008,
0.25144235366367285,
0.21992611483883576,
1.457301437296005,
-0.03485473355886569,
1.4803486886452477,
0.04410022854520209,
-0.19039103553435174,
1.0736468856030983,
1.0972114110883588,
0.5368192810178772,
... | {
"n_parameters": 47,
"n_qubits": 10,
"optimal_eigenvalue": -2.6333333333333333,
"target_ratio": 0.97,
"target_value": -2.554333333333333
} | 93 |
086fdad20e2baddfaa8981d343c52cbf | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "ta... | {"states": [112, 116], "expectation_value": -4.495635455023994, "params": [0.44320000000000004, -0.0021000000000000003, 0.8001, -0.0033, 0.8018000000000001, 0.0013000000000000002, 0.8112, -0.0021000000000000003, -0.0051, -0.3854, 0.8057000000000001, -0.0005, -0.0103, -0.386, 0.0078000000000000005, -0.37870000000000004,... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + -1.5 * Z(4) + -1.0 * Z(0) + -1.0 * Z(5) + 0.0 * Z(1) + -... | 4 | 8 | 2 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["10001011", "10100011"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.486107937134982) q[0];
rz(1.584328007509825) q[0];
rx(0.7497295928354777) q[1];
rz(1.4244762415802557) q[1];
rx(1.0057799267278758) q[2];
rz(1.4122457714648249) q[2];
rx(1.5759784140789752) q[3];
rz(1.584328007509825) q[3];
rx(-0.01200700467075243) q[4];
rz(1.39436... | 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": []} | [
"IIIZIIIZ",
"IIZIIIIZ",
"IIIIIIZZ",
"IIIZIZII",
"IZIZIIII",
"IZZIIIII",
"IZIIIZII",
"IZIIZIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"ZIIIZIII",
"IIIZIIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"IIIIIZII",
"IZIIIIII",
"IIIIZIII",
"ZIIIIIII"
] | [
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,
-1,
0,
-0.5,
-2,
-0.5,
-1.5
] | 0.971256 | [
0.486107937134982,
0.01353168071492847,
0.7497295928354777,
-0.1463200852146407,
1.0057799267278758,
-0.1585505553300715,
1.575978414078975,
-0.012007004670752431,
-0.17643311122663385,
1.2837486968074268,
0.09579622645603413,
-0.060140553324943315,
-0.5049312444285063,
0.02135193641582346... | {
"n_parameters": 45,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 14 |
-5251884112613032137 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 3, 7], [0, 4, 5, 6, 7], [1, 3, 4, 5]]} | {"states": [111, 109], "expectation_value": -0.6228656957984322, "params": null, "bitstrings": ["10010000", "10010010"], "total_optimization_steps": 56, "probabilities": [0.23282683995139014, 0.3085129655751951], "optimization_time": 87.46500706672668} | 0.08333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(3)) + 0.05 * (Z(0) @ Z(7)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.7, -0.7, -0.7, -0.7], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.6999999999999998, "smallest_bitstrings": ["00100110", "10010010", "11000010", "11000000"], "largest_eigenvalue": 2.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.0046243870921098395) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(0.0046243870921098395) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-1.5803926440292775) q[3];
cx q[1], q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[7];
rz(0.00... | 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];\nry(1.0342) 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];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"ZIIIIZII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIIIIIZ",
"IIIZIIZI",
"IIIZZIII",
"ZIIZIIII",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIZIII",
"ZIZIIIII",
"IIZIIIIZ",
"IIZZIIII",
"ZZIIIIII",
"IZIIIIIZ",
"IZIZIIII",
"IZZIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIIZII... | [
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.05,
0.08333333333333333,
0.08333333333333333,
0.05,
0.05,
0.08333333333333333,
0.08333333333333333,
0.05,
0.05,
0.13333333333333333,
0.05,
0.05,
0.05,
... | 0.895328 | [
0.0046243870921098395,
-1.5803926440292775,
-0.13142992439519866,
-0.018760378440428424,
-1.5691575371755166,
-0.0013491292989718019,
-1.4956603725860136,
0.5354732928264901,
1.048407204797835
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -0.7,
"target_ratio": 0.97,
"target_value": -0.6789999999999999
} | 199 |
bc43e6ea5c446351096cf0166cc36cd1 | 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": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [73, 75], "expectation_value": -4.032269678034311, "params": [[-0.1174, 0.7895000000000001, 0.0041, 0.0061, 0.7803, 0.0029000000000000002, 0.16840000000000002, 0.8988], [-0.0118, 0.8719, -0.035500000000000004, -0.0729, 0.786, 0.0034000000000000002, 0.8496, 0.9044000000000001], [0.264, 0.7835000000000001, 0.0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + -1.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(6) + -1.5 * Z(2) + -0.5 * Z(1) + -1.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(7) | 10 | 8 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["10100110", "00110110", "10110100"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.01952343066965216) q[0];
ry(0.9000865608798364) q[1];
ry(-0.11482602920207763) q[2];
ry(0.11865066359893003) q[3];
ry(0.9074957543219753) q[4];
ry(-0.033847970533573773) q[5];
ry(0.18363828790283657) q[6];
ry(1.3552439962905976) q[7];
cz q[7], q[6];
cz q[6], 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IZIIZIII",
"IZIIIIIZ",
"IIIIZZII",
"IIIIIZZI",
"IIZIIZII",
"IIZIIIZI",
"IIIZIZII",
"ZIZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIZIIIII",
"IIIZIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-1.5,
-0.5,
-1,
0,
0
] | 0.97828 | [
-0.01952343066965216,
0.9000865608798364,
-0.11482602920207763,
0.11865066359893003,
0.9074957543219753,
-0.033847970533573773,
0.18363828790283657,
1.3552439962905976,
-0.2376973068898104,
0.7398821834552701,
0.001989384862114623,
-0.06971758824484861,
0.7199835078869554,
-0.1249601657360... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 11 |
3edaf02080dd4f2f34de124f69ca8c1c | 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": 4}, ... | {"states": [10, 20], "expectation_value": -3.0487669233983756, "params": [[0.07680000000000001, 0.0784, 0.0766], [-0.0805, -0.0811, -0.0763]], "bitstrings": ["1110101", "1101011"], "total_optimization_steps": 10, "probabilities": [0.019831519039503486, 0.019831519039503503], "optimization_time": 5.796528100967407} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 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(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.5, "smallest_bitstrings": ["1101011", "0011111", "0111011", "1110101", "0111101"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.14998177780010405) q[0];
ry(3.132322744548159) q[1];
ry(0.2101142822892196) q[2];
ry(2.7281837271741396) q[3];
ry(-0.09003865728064556) q[4];
ry(-0.1262149678024054) q[5];
ry(-0.45465218275571384) q[6];
ry(-0.04767636880660755) q[7];
ry(0.3325816228502928) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"ZIIIZII",
"ZIIIIIZ",
"ZIIZIII",
"IIIIZZI",
"IIIZIZI",
"ZIIIIZI",
"IIZZIII",
"ZIZIIII",
"IIZIIZI",
"IZIIZII",
"ZZIIIII",
"IZIIIZI",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII"
] | [
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,
-1,
-2,
-2.5,
-2,
-1.5,
-1.5
] | 0.973959 | [
-0.14998177780010405,
3.132322744548159,
0.2101142822892196,
2.7281837271741396,
-0.09003865728064556,
-0.1262149678024054,
-0.45465218275571384,
-0.04767636880660755,
0.3325816228502928,
0.018934541355018666,
0.2554664640480989,
0.19204851447096838,
2.677386516937803,
-0.16576950063786064... | {
"n_parameters": 32,
"n_qubits": 16,
"optimal_eigenvalue": -4.7187500000000036,
"target_ratio": 0.97,
"target_value": -4.5771875000000035
} | 20 |
-7337701157855719165 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 7], [0, 5, 7], [2, 3, 5, 6], [1, 2]]} | {"states": [188, 222], "expectation_value": -0.5361321347864761, "params": [[0.379], [-0.3759]], "bitstrings": ["01000011", "00100001"], "total_optimization_steps": 40, "probabilities": [0.009999262903372564, 0.010044456552079155], "optimization_time": 12.306747198104858} | 0.5 * (Z(4) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.583333333333333, -1.583333333333333, -1.583333333333333, -1.583333333333333, -1.583333333333333, -1.583333333333333, -1.583333333333333], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.5000000000000004, "smallest_bitstrings": ["11001010", "11011000", "10101000", "01001100",... | OPENQASM 3.0;
include "stdgates.inc";
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[7], q[4];
rz(1.5135131211547004) q[4];
cx q[7], q[4];
rz(-0.41275778193969437) q[4];
rx(-0.8562048889401611) q[4];
cx q[7], q[0];
rz(0.27849328077490243) q[0];
cx q[7], q[0];
cx q[7], q[5];
rz(0.278493... | 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[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[7], q[4];
rz(x0) q[4];
cx q[7], q[4];
cx q[7], q[0]... | null | {"circuits": [], "gradients": []} | [
"ZIIZIIII",
"ZIIIIIIZ",
"ZIZIIIII",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIIIZZII",
"IZZIIIII",
"IZIIIZII",
"IZIIZIII",
"IIIIIZZI",
"ZIIIIIII",
"IIIZIIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"IIIIIIZI"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.16666666666666663,
0,
0.16666666666666666,
0.29166666666666663,
0.125,
0.125,
0.1... | 0.815047 | [
1.5135131211547004,
0.27849328077490243,
0.14561342422131693,
-0.41275778193969426,
1.2087892087157945,
0.547789556573655,
-0.8562048889401611
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -1.583333333333333,
"target_ratio": 0.97,
"target_value": -1.535833333333333
} | 192 |
cba3c0f3028bedd24c97c562399fe60f | kclique | 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": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [5, 7], "expectation_value": -5.842979125019018, "params": [[[0.38, -0.3196], [0.41650000000000004, -0.2851], [0.4055, -0.2932], [0.40690000000000004, 0.2907], [0.9962000000000001, 0.0008], [0.8148000000000001, 0.0063], [0.9987, -0.0032]], [[0.385, 0.0055000000000000005], [0.4092, 0.0022], [0.4017, 0.0057], ... | 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(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.25 ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-4.011935460582535e-09) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-4.011935460582535e-09) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-4.011935460582535e-09) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-4.011935460582535e-09) q[3];
c... | 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": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
-3.25,
-3.5,
-3.25,
-3.25,
-2.75,
-3.25,
-2.75
] | 0.740989 | [
-4.011935460582535e-9,
1.3554674035363465e-8,
0.9694266146810376,
1.5707964080681434,
-1.5707962967130897,
1.5707963408013987
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 195 |
0b9d5b3e266088a0705d1527c933f817 | 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": 14, "source": 1, "target": 8}, {"weight": 17, "source": 1, "target": 2}, {"weight":... | {"states": [984, 472], "expectation_value": -75.56706535056402, "params": [1.1007, 0.2525, 1.099, 0.0054, 1.0918, 0.0983, 0.8758, 0.0004, 1.0931, 0.1043, 1.0915000000000001, 0.0025, 1.1003, 0.11960000000000001, 1.096, 0.006, 1.0694000000000001, -0.3297, 0.634, 0.0034000000000000002, 1.1025, 0.137, 1.1021, 0.0088, 1.097... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(6) @ Z(2)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(8) @ Z(5)) + 5.5 * (Z(9) @ Z(2)) + 5.5 * (Z(9) @ Z(3)) + 5.5 * (Z(9) ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-106.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -92.0, "smallest_bitstrings": ["1000100111"], "largest_eigenvalue": 205.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(2.8249029710073983) q[0];
rz(2.600345215831994) q[0];
rx(2.1025006624252685) q[1];
rz(1.4837923133386042) q[1];
rx(1.639301672959493) q[2];
rz(1.6452781443879871) q[2];
rx(1.4572252036006585) q[3];
rz(1.5980643812263615) q[3];
rx(0.9054003499545926) q[4];
rz(1.72995... | 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\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIIZIIZI",
"IIIZIIIZII",
"IIIZIZIIII",
"IIIIZZIIII",
"IIIZZIIIII",
"IZIIZIIIII",
"ZIIIIIIZII",
"ZIIIIIZIII",
"ZIIZIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIIZIIII"... | [
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,
5.5,
5.5,
19.5,
8.5,
23.5,
18,
8,
20,
11,
-1.5,
7,
-8.5
] | 0.973294 | [
2.8249029710073983,
1.0295488890370974,
2.1025006624252685,
-0.08700401345629238,
1.639301672959493,
0.07448181759309067,
1.4572252036006585,
0.027268054431465405,
0.9054003499545927,
0.1591590239154929,
2.0919234835048632,
-0.007147112297681817,
1.5802654963815246,
0.05018237687339172,
... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -106,
"target_ratio": 0.97,
"target_value": -102.82
} | 137 |
c5d57071b024d109c38c43678d62eaf1 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}]} | {"states": [6, 1], "expectation_value": -0.44526209665835054, "params": [[0.046400000000000004, 0.0533, 0.033600000000000005], [-0.0324, -0.0444, -0.0339]], "bitstrings": ["001", "110"], "total_optimization_steps": 10, "probabilities": [0.13624379043176119, 0.1683771395366453], "optimization_time": 1.8573379516601562} | -1.25 * (Z(0) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -1.25 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2) | 1 | 3 | 3 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.75, "smallest_bitstrings": ["110"], "largest_eigenvalue": 5.25} | 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.... | 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[3] c;
qubit[3] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} | [
"IZZ",
"ZIZ",
"IZI",
"IIZ",
"ZII"
] | [
-1.25,
1.5,
-1.25,
-0.25,
1.5
] | 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 |
65bd080f0b079dce89fa5bd7d6b7272b | 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}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": ... | {"states": [287, 383], "expectation_value": -11.162479139866965, "params": null, "bitstrings": ["1011100000", "1010000000"], "total_optimization_steps": 100, "probabilities": [0.14347891701575866, 0.44209649632774345], "optimization_time": 153.85941100120544} | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(1)) + -2.0 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + -2.0 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(8)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(1) + 0.5 * Z(7) + 0.5 * Z(8)... | 5 | 10 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["1010000000"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.00027225825962394305) q[0];
rz(-3.0431956996734595) q[0];
rx(3.1222304006767856) q[1];
rz(1.8034259892602513) q[1];
rx(0.039703114893526764) q[2];
rz(2.5913702759365354) q[2];
rx(1.5847925643990315) q[3];
rz(3.1317059015842705) q[3];
rx(1.5696663804402038) q[4];
... | null | {"node": 0} | {"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];\ncry(1.5706) q[9], 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];\nc[5] = measu... | [
"IIIIIIIZIZ",
"IIIIIZZIII",
"IIIZZIIIII",
"IIZIIIIIZI",
"IZIIIIIIZI",
"IZZIIIIIII",
"ZIIIIIIIZI",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IIIIIIIIZI",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII"
] | [
-1.5,
-1,
-1,
-2,
-2,
0.5,
-2,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.889581 | [
-0.00027225825962394305,
1.6691932807112304,
-3.160954906502801,
0.23262966246535413,
0.039703114893526764,
1.0205739491416392,
1.5847925643990315,
1.5609095747893744,
1.569666380440204,
1.623416159181067,
-3.207432999450167,
1.3162776022504694,
-1.9875252049020804,
1.6839740507187875,
-... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 500 |
159564a9a71f2785631eb8436cb826ea | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 8}, {"source": 7, "target":... | {"states": [0, 255], "expectation_value": -5.499866385178304, "params": [0.221, 0.7399, -0.2364, 0.0048000000000000004, -0.686, 0.3305, -0.048, 0.005200000000000001, -0.9202, 0.1887, 0.7406, 0.0058000000000000005, -0.9665, 0.1636, -0.14700000000000002, 0.0002, -0.9814, 1.0992, -0.21130000000000002, 0.0059, -0.9768, 1.1... | -1.0 * (Z(1) @ Z(2)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(7)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(7) + 0.5 * Z(5) + 0.5 * Z(6) + 0.5 * Z(8) + -0.5 * Z(0) | 6 | 9 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.7511005271593161) q[0];
rz(-pi) q[0];
h q[1];
ry(1.2581153791650719) q[1];
h q[2];
cx q[2], q[1];
ry(-1.2581153791650719) q[1];
cx q[2], q[1];
ry(1.3726640215676347) q[2];
cx q[1], q[2];
ry(-1.3726640215676347) q[2];
cx q[1], q[2];
h q[3];
h q[4];
ry(1.25811537916... | 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": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIZZIII",
"IZIZIIIII",
"IZZIIIIII",
"IIZZIIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IZIIIIIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIIIZ"
] | [
-1,
-1,
-1.5,
-2,
0.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.971427 | [
0.0013109546608495966,
1.7774153945603093,
1.679929475921589,
-0.2539518645087978,
0.1890537256643278,
2.5162307583301438,
2.7453280431352693,
-0.27535298037782635,
-0.7253695184608755,
0.9633120713442913,
-0.27781867740320454,
0.3393178145877155,
0.4036598516411737,
0.6446749154611696,
... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 88 |
5232b90dda9242eb9a5c6097d5204d6f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 2, "ta... | {"states": [153, 152], "expectation_value": -2.3968256929292364, "params": [[[0.8907, -0.0016], [0.6819000000000001, 0.0912], [-0.0021000000000000003, 0.657], [0.8264, 0.0044], [0.9109, -0.0011], [-0.0028, 0.6779000000000001], [-0.0032, 0.6214000000000001], [0.7459, -0.051500000000000004]], [[0.8923000000000001, 0.0035... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(7) @ Z(0)) + 0.25 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(4) @ Z(6)) + -0.25 *... | 1 | 8 | 2 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.75, "smallest_bitstrings": ["10100111", "01110110", "10110110", "01100111"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(0.35237958353335985) q[0];
ry(2.9131938134897055) q[0];
rz(-2.174636432406782) q[0];
rz(1.3967871446852804) q[1];
ry(0.2554366348602017) q[1];
rz(-0.2862713432410797) q[1];
rz(-1.5986174736588357) q[2];
ry(0.05238310356972844) q[2];
rz(2.6385432912791913) q[2];
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": []} | [
"IIIIIIZZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIZZZIII",
"IIIIIZIZ",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIIZIZ",
"ZIIIZIII",
"IIIZIIZI",
"IZIIIIZI",
"IZIZIIII",
"IZIZIIZI",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
0.5,
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,
-0.25,
-0.25,
-0.75,
-0.25,
0,
-0.75,
-0.75,
-0.25
] | 0.973256 | [
1.0254088165531872,
-0.23870754411352457,
0.0038695531732284936,
-0.17661393078064927,
-0.02620168675857241,
-0.05562320466209254,
1.9457439155042606,
-0.23770145708635174,
0.5855419334661881,
-0.2510806626071247,
0.0694432886716042,
1.090543455228579,
0.03073532708268885,
0.57124230944301... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 28 |
d1602a48db0b9ddd29f550e6862bbc0a | 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}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 10, "source": 0, "... | {"states": [229, 117], "expectation_value": -8.334287671137186, "params": [[-0.0429], [0.0562]], "bitstrings": ["00011010", "10001010"], "total_optimization_steps": 10, "probabilities": [0.006624160374595704, 0.0067830210509850115], "optimization_time": 1.8196372985839844} | 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 9.5 * Z(0) + 22.5 * Z(3) + 15.0 * ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-68.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10001010"], "largest_eigenvalue": 157.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.01988959587459258) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(0.01988959587459258) q[1];
cx q[0], q[1];
cx q[0], q[2];
rz(0.01988959587459258) q[2];
cx q[0], q[2];
rz(1.5705949267290302) q[0];
rx(1.5737961387934527) q[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;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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[0], q[3];
r... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIIIIZZ",
"IIIIZIZI",
"IIIIIZIZ",
"IIIIZZII",
"IIIIIZZI",
"IIZIZIII",
"IIIZIIZI",
"IIZZIIII",
"IZIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IIIZIIII",
"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,
4.5,
9.5,
22.5,
15,
16.5,
13,
4.5,
3.5,
14.5
] | 0.93496 | [
0.01988959587459258,
1.5705949267290302,
-1.5706474594478201,
-1.5706950642609576,
-1.5707313852024845,
-1.5705995674318687,
1.5706986676279677,
-1.570715889237666,
1.5737961387934527
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -68.5,
"target_ratio": 0.97,
"target_value": -66.445
} | 230 |
74a9039e61abdfc370e0e9ccbda58085 | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 5}]} | {"states": [18, 33], "expectation_value": -0.1252697519644561, "params": [[-0.0472, -0.0675], [0.061700000000000005, 0.062200000000000005]], "bitstrings": ["101101", "011110"], "total_optimization_steps": 10, "probabilities": [0.018171926361843345, 0.01817192636184337], "optimization_time": 4.408798456192017} | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.625, -2.625, -2.625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.625, "smallest_bitstrings": ["011110", "101101", "011101"], "largest_eigenvalue": 5.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.477440440231795) q[0];
ry(-0.06728346725284151) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.022464637706429983) q[2];
ry(-0.14026191198045032) q[3];
rz(-pi) q[3];
h q[4];
h q[5];
ry(-0.5587307208019142) q[5];
cx q[4], q[5];
ry(0.5587307208019142) q[5];
cx 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] 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[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIIZ",
"IZIIIZ",
"IIIZIZ",
"IZZIII",
"IIZZII",
"IZIZII",
"IZZIIZ",
"IIZZIZ",
"IZIZIZ",
"IZZZII",
"IZZZIZ",
"ZIIIZI",
"ZZIIII",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
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,
-0.125,
-0.5,
-0.625,
-0.125,
-0.625,
-0.5
] | 0.985036 | [
-1.51259205572021,
-1.455297284188031,
-1.5790493769346474,
1.477440440231795,
-1.1174614416038284,
0.8138164984265778,
-0.3239264793788754,
0.4355121917407859,
-0.29038767173572155,
-0.09643115070804845,
-0.028423175133358375,
0.06490628447523733,
0.1641152818115272,
-0.1905830969119133,
... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -2.625,
"target_ratio": 0.97,
"target_value": -2.54625
} | 1 |
e97f9c51e9cdbb30fbd74dac2bf03edd | 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": 2}, {"sourc... | {"states": [0, 32767], "expectation_value": -63.191733855804614, "params": [[[0.0013000000000000002, 1.6137000000000001], [0.0032, 0.0039000000000000003], [0.0032, -0.003], [0.0017000000000000001, 0.0023], [0.0019, 0.0021000000000000003], [0.0021000000000000003, 0.0022], [0.0017000000000000001, 0.0018000000000000002], ... | -3.0 * (Z(0) @ Z(1)) + -3.5 * (Z(8) @ Z(1)) + -3.0 * (Z(8) @ Z(0)) + 1.5 * (Z(11) @ Z(1)) + -4.0 * (Z(11) @ Z(0)) + -4.0 * (Z(11) @ Z(8)) + 1.5 * (Z(13) @ Z(1)) + -3.0 * (Z(13) @ Z(0)) + -3.5 * (Z(13) @ Z(8)) + -3.5 * (Z(13) @ Z(11)) + -4.0 * (Z(9) @ Z(1)) + 1.5 * (Z(9) @ Z(0)) + 2.0 * (Z(9) @ Z(8)) + -4.0 * (Z(9) @ Z(... | 15 | 15 | 1 | {"smallest_eigenvalues": [-67.49999999999993], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.4999999999993, "smallest_bitstrings": ["000000000000000"], "largest_eigenvalue": 76.5000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(0.0014663824447029676) q[0];
ry(0.042335180641588685) q[1];
ry(0.042335180641588685) q[2];
ry(-0.047348897735894346) q[3];
ry(0.039702108771461214) q[4];
ry(-0.011359301470763042) q[5];
ry(-0.047348897735894346) q[6];
ry(0.038643066470940075) q[7];
ry(0.058645005881... | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIZIIIIIIZI",
"IIIIIIZIIIIIIIZ",
"IIIZIIIIIIIIIZI",
"IIIZIIIIIIIIIIZ",
"IIIZIIZIIIIIIII",
"IZIIIIIIIIIIIZI",
"IZIIIIIIIIIIIIZ",
"IZIIIIZIIIIIIII",
"IZIZIIIIIIIIIII",
"IIIIIZIIIIIIIZI",
"IIIIIZIIIIIIIIZ",
"IIIIIZZIIIIIIII",
"IIIZIZIIIIIIIII",
"IZIIIZIIIIIIIII",
"... | [
-3,
-3.5,
-3,
1.5,
-4,
-4,
1.5,
-3,
-3.5,
-3.5,
-4,
1.5,
2,
-4,
-4,
1,
1,
-3.5,
-3.5,
1.5,
-3.5,
0.5,
0.5,
0.5,
-3.5,
1,
-3,
1,
1.5,
-4,
-3.5,
0.5,
0.5,
-2.5,
1,
1,
-3,
0.5,
-3.5,
-3.5,
1.5,
-3,
-2.5,
0.5,
0.5,
0.5,
-2.5,
... | 0.971369 | [
0.0014663824447029676,
0.042335180641588685,
-0.047348897735894346,
0.039702108771461214,
-0.011359301470763042,
0.038643066470940075,
0.05864500588129691,
-0.015650190494671954,
0.044516142546910886,
0.05841602268229474,
2.3465315761441885,
0.010128298118121996,
0.00462952983900089,
-0.03... | {
"n_parameters": 17,
"n_qubits": 15,
"optimal_eigenvalue": -67.49999999999993,
"target_ratio": 0.97,
"target_value": -65.47499999999992
} | 17 |
182a069273641020dc26595ce4905930 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 1, "target": 3}, ... | {"states": [28, 11], "expectation_value": -0.6387889105216358, "params": [[-0.0805, -0.0767], [0.0756, 0.07300000000000001]], "bitstrings": ["1100011", "1110100"], "total_optimization_steps": 10, "probabilities": [0.011137719733252218, 0.011731753091306358], "optimization_time": 2.873628616333008} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + -0.5 * Z(5) + -1.5 * Z(6) + -1.0 * Z(1) + -0.5 * Z(4) + 0.0 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1100011", "0110011", "1110100", "1110001"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.007242464658648869) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.007242464658648869) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.007242464658648869) q[5];
cx q[0], q[5];
rz(-1.7587402785726103) q[5];
rx(1.1264... | 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",
"IZIIZII",
"IZIIIIZ",
"ZIIIZII",
"ZIIIIIZ",
"ZIIIIZI",
"ZIZIIII",
"IIZIIZI",
"IIIZIZI",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIZIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-1.5,
-1,
-0.5,
0
] | 0.985084 | [
0.007242464658648869,
1.3643866291606521,
-1.75874027857261,
1.096394357304044,
-1.1287208486217732,
1.1264238424888084,
0.06931218740095733,
0.1199140580104439,
0.42838401811679144,
0.7057919332882043,
0.4479540603774709
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 31 |
-4746928012563445298 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 4, 5], [0, 1, 5, 7, 8], [1, 2, 3, 5, 6], [0, 1, 4, 5, 6], [4, 6, 7], [0, 2, 4, 6, 8], [0, 1, 2], [8, 3], [1, 4, 7], [1, 2, 3, 4], [2, 3, 7], [1, 6, 7], [8, 2, 5], [0, 1, 3, 7], [8, 5, 6]]} | {"states": [252, 382], "expectation_value": -2.299896847194547, "params": [[-0.3516], [0.3569]], "bitstrings": ["100000011", "010000001"], "total_optimization_steps": 40, "probabilities": [0.010347940775068079, 0.011748668661011579], "optimization_time": 6.8924407958984375} | 0.21666666666666667 * (Z(8) @ Z(4)) + 0.21666666666666667 * (Z(5) @ Z(4)) + 0.5499999999999999 * (Z(5) @ Z(8)) + 0.1 * (Z(0) @ Z(4)) + 0.1 * (Z(0) @ Z(8)) + 0.1 * (Z(0) @ Z(5)) + 0.3 * (Z(1) @ Z(4)) + 0.05 * (Z(1) @ Z(8)) + 0.15000000000000002 * (Z(1) @ Z(5)) + 0.35 * (Z(1) @ Z(0)) + 0.3333333333333333 * (Z(7) @ Z(4)) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.8000000000000003], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.733333333333334, "smallest_bitstrings": ["010000001"], "largest_eigenvalue": 14.500000000000002} | 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];
h q[6];
h q[7];
h q[8];
cx q[4], q[8];
rz(-0.01185883987394164) q[8];
cx q[4], q[8];
cx q[4], q[5];
rz(-0.01185883987394164) q[5];
cx q[4], q[5];
cx q[4], q[0];
rz(-0.0028291867723695546) q[0];
cx q[4], q[0];
cx q[4], 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[... | null | {"circuits": [], "gradients": []} | [
"ZIIIZIIII",
"IIIZZIIII",
"ZIIZIIIII",
"IIIIZIIIZ",
"ZIIIIIIIZ",
"IIIZIIIIZ",
"IIIIZIIZI",
"ZIIIIIIZI",
"IIIZIIIZI",
"IIIIIIIZZ",
"IZIIZIIII",
"ZZIIIIIII",
"IZIZIIIII",
"IZIIIIIIZ",
"IZIIIIIZI",
"IIIIZIZII",
"ZIIIIIZII",
"IIIZIIZII",
"IIIIIIZIZ",
"IIIIIIZZI",
"IZIIIIZII",
"... | [
0.21666666666666667,
0.21666666666666667,
0.5499999999999999,
0.1,
0.1,
0.1,
0.3,
0.05,
0.15000000000000002,
0.35,
0.3333333333333333,
0.05,
0.05,
0.13333333333333333,
0.4666666666666666,
0.13333333333333333,
0.21666666666666667,
0.21666666666666667,
0.21666666666666667,
0.3,
... | 0.97298 | [
-0.01185883987394164,
-0.17248532554200185,
-0.0028291867723695546,
0.005405970014528319,
0.04891494883870015,
-0.027324356225268097,
0.13799243741688355,
0.07457546865050856,
0.00339539739702693,
-0.5376154012021104,
0.02947381064060564,
-0.09452899622958379,
-0.15920797895630873,
-0.0987... | {
"n_parameters": 23,
"n_qubits": 9,
"optimal_eigenvalue": -3.8000000000000003,
"target_ratio": 0.97,
"target_value": -3.686
} | 122 |
d84f9d44a9dfbf26b97835693b75dc35 | 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": 7, "source": 0, "target": 2}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 6, "source": 2, "target": 4... | {"states": [9, 11], "expectation_value": -1.208346177332767, "params": [[0.059800000000000006, -0.0302, -0.0543, -0.0461], [-0.0751, -0.0437, 0.0258, 0.0408]], "bitstrings": ["1110110", "1110100"], "total_optimization_steps": 10, "probabilities": [0.013713615155759059, 0.015259447567241777], "optimization_time": 4.6240... | -1.75 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -1.75 * Z(2) + -0.25 * Z(0) + 1.0 * Z(1) + 0.5 * Z(3) + -0.75 * Z(4) + 0.75 * Z(6) + 0.5 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["1110100"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.0544957536205479) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.5557826562327215) q[1];
cx q[2], q[1];
h q[3];
cx q[1], q[3];
rz(-0.0032907376431637395) q[3];
cx q[1], q[3];
h q[4];
cx q[2], q[4];
rz(-0.5557826562327215) q[4];
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": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIIZZI",
"IIIZIZI",
"IIZIZII",
"IIZIIZI",
"ZIIIIIZ",
"ZIIZIII",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
-1.75,
-1.5,
-0.25,
-1.5,
-0.75,
2,
-1.25,
-0.5,
-1.75,
-0.25,
1,
0.5,
-0.75,
0.75,
0.5
] | 0.970515 | [
-0.0544957536205479,
-0.5557826562327215,
-0.0032907376431637395,
0.299953952003397,
0.05659349816966682,
-0.066347426645714,
-0.027618368665391912,
0.24420021272805226,
-1.0163539925721223,
0.3888089131107649,
-1.3118888107954043,
0.3953896828377394,
-0.4523545525544179,
0.702687476802465... | {
"n_parameters": 44,
"n_qubits": 7,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 168 |
a617d44a0e23e197ea031a5e0c78581c | 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": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capac... | {"states": [512, 1], "expectation_value": -14.845685106573036, "params": null, "bitstrings": ["0111111111", "1111111110"], "total_optimization_steps": 31, "probabilities": [0.13654835210681052, 0.8121722480894292], "optimization_time": 53.76454186439514} | -0.25 * (Z(0) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + 2.5 * (Z(9) @ Z(0)) + -0.75 * (Z(9) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(1) @ Z(7)) + -0.75 * (Z(2) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.25, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 13.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.037531659889395476) q[0];
rz(0.18803132479075657) q[0];
rx(0.069884462724163) q[1];
rz(1.041360565935543) q[1];
rx(-0.039123129404561724) q[2];
rz(-0.7325016615982598) q[2];
rx(0.06988446272416299) q[3];
rz(1.0196013877167687) q[3];
rx(-0.022615113653527495) q[4];... | 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(-1.5708) 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];\nc[5] = measure q[5... | [
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIZIIIZIII",
"IIZIIIIIIZ",
"IIZIIZIIII",
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"IIIIIZIIZI",
"IIIIZIIIZI",
"IIZIIIIIZI",
"IIIIIZIZII",
"IIZIIIIZII",
"IIIIIIIZZI",
"IZIIIZIIII",
"IZIIZIIIII",
"IZIIIIIZII",
"IIIZZIIIII"... | [
-0.25,
-1,
-0.75,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
2.5,
-0.75,
-0.5,
-0.5,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
-0.75,
-0.75,
-0.25,
-0.25,
-2,
1,
0.5,
1.75,
-0.25,
1,
0,
-1.5
] | 0.983194 | [
0.037531659889395476,
0.4163815102787586,
0.06988446272416299,
0.5867525179136751,
-0.03912312940456172,
-0.5187914974032167,
0.742040261088507,
-0.02261511365352749,
-0.7288417945968432,
-0.0033134618253322055,
0.6827412917165196,
0.6852408931746257,
0.04434464253219436,
0.362140031035623... | {
"n_parameters": 44,
"n_qubits": 10,
"optimal_eigenvalue": -16.25,
"target_ratio": 0.97,
"target_value": -15.7625
} | 10 |
784a7d1914642d32b8d9e24da5ce100e | 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": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, ... | {"states": [67, 56], "expectation_value": -0.14577908530177455, "params": [[-0.0149, -0.0582], [-0.031900000000000005, 0.061700000000000005]], "bitstrings": ["0111100", "1000111"], "total_optimization_steps": 10, "probabilities": [0.008770563366256794, 0.008770563366256798], "optimization_time": 3.047450542449951} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) + -0.5 * Z(1) + -1.0 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1001011", "1000111", "1111000", "0111100"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.7397964017790035) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(-0.7397964017790035) q[3];
cx q[0], q[3];
h q[4];
cx q[0], q[4];
rz(-0.7397964017790035) q[4];
cx q[0], q[4];
rz(0.8795768044253869) q[0];
rx(-0.730140045951841... | 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[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
c... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZIIIZI",
"ZIIIZII",
"ZIIZIII",
"ZIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-0.5,
-0.5,
-0.5,
-1
] | 0.738887 | [
-0.7397964017790035,
0.8795768044253864,
0.32475766842351955,
-0.7301400459518418,
0.34610326116608253,
-0.07670284995624277,
0.0651643830681458,
1.6023376137444998
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 219 |
4789677601492509849 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[0, 1], [0, 2], [1, 2], [0, 3]]} | {"states": [3, 7], "expectation_value": -0.8856979653185812, "params": null, "bitstrings": ["1100", "1000"], "total_optimization_steps": 19, "probabilities": [0.35809860143608246, 0.44703402474787074], "optimization_time": 9.137455224990845} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.0, -1.0, -1.0, -1.0, -1.0, -1.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": 0.0, "smallest_bitstrings": ["1100", "1010", "1000", "0111", "0101", "0011"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
ry(-0.6840469123215729) q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
ry(0.6840469123215729) q[0];
cx q[3], q[0];
ry(-0.28532184560231927) q[0];
cx q[2], q[0];
ry(0.28532184560231927) q[0];
cx q[2], q[0];
ry(-0.03427041703151354) q[0];
cx q[1], q[0];
ry(0.0342704... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncry(-1.0342) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh... | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIIZ",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0
] | 0.970225 | [
-1.3680938246431458,
1.1419199023625188,
-0.5706436912046385,
1.0387728542217376,
-0.06854083406302708,
0.23025103133785219,
0.5484376872501087,
-0.24513065354384653,
-0.6503381130127305,
0.06369402509875148,
-0.3168903486552321,
-0.5949307727483162,
0.032672989282449355,
-0.33881116362175... | {
"n_parameters": 16,
"n_qubits": 4,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 12 |
16e531ebd5c4fa365456c9500ea8e716 | 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": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [5, 7], "expectation_value": -3.5717985038808715, "params": [[[1.0808, 0.0083], [1.1583, 0.0068000000000000005], [1.0896000000000001, 0.0074], [1.1066, 0.0025], [1.5991, 0.0059], [1.5949, 0.0022], [1.6002, 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": -12.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.17931700348995208) q[0];
rz(-0.5295651513983046) q[0];
rx(0.1383091762588557) q[1];
rz(-2.4427159179592346) q[1];
rx(0.19192920998953547) q[2];
rz(0.7692060885471252) q[2];
rx(0.010941951037614334) q[3];
rz(1.0249064769628937) q[3];
rx(3.3823159256033737) 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] 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,
2.5,
2.25,
2.25,
2.5,
2.5,
-3.25,
-3.5,
-3.5,
-3.5,
-3,
-2.75,
-3
] | 0.970005 | [
-0.17931700348995208,
-0.5295651513983046,
0.1383091762588557,
-2.4427159179592346,
0.19192920998953547,
0.7692060885471252,
0.010941951037614334,
1.0249064769628937,
3.3823159256033737,
0.76377487209716,
2.7495714135870237,
0.6576922218401471,
3.0317260152509355,
-2.4912281243830905
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 29 |
0a9ce5e89c9dcf521e81060472c9eb03 | 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": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "s... | {"states": [256, 255], "expectation_value": -0.5008372997667034, "params": [[-0.06570000000000001, -0.0714], [0.0666, 0.0693]], "bitstrings": ["011111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.00338753598451998, 0.0036216748187924484], "optimization_time": 4.51765775680542} | -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(8) @ Z(5)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(1) @ Z(8)) + -0.5 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(2) @ Z(8)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(6) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.75, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 8.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.23153603351994334) q[0];
h q[1];
h q[2];
ry(1.5470829324436373) q[2];
h q[3];
ry(0.7705398656542058) q[3];
cx q[1], q[3];
ry(-0.7705398656542058) q[3];
cx q[1], q[3];
ry(0.6222101378731693) q[1];
cx q[3], q[1];
ry(-0.6222101378731693) q[1];
cx q[3], 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... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIZIIIIZ",
"ZIIZIIIII",
"ZIIIIIIIZ",
"IIIZIIIZI",
"ZIIIIIIZI",
"IIIZIZIII",
"IIIIIZIZI",
"IIIIZIIZI",
"ZZIIIIIII",
"IZIIIIIZI",
"IZIIIZIII",
"ZIIIIIZII",
"IIIIZIZII",
"IIZZIIIII",
"IIZIIIIZI",
"IIZIZIIII",
"IZZIIIIII",
"IIZIIIZII",
"IIIZIIIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"... | [
-0.5,
-0.5,
0.75,
-0.25,
-0.25,
-0.5,
-0.75,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
0,
-0.25,
-0.5,
0,
0.5,
-0.5,
0.5,
1,
-0.75
] | 0.959889 | [
1.5470829324436373,
1.5410797313084117,
2.087226569812678,
1.2444202757463385,
1.7043902733145464,
1.68419662067207,
-0.4630720670398867,
1.7291033298568055,
2.2789226456761957,
-0.050339615282830596,
-0.48130399573726235,
0.7152102582289276,
-0.8707263861464489,
-1.2010984046709827,
0.5... | {
"n_parameters": 49,
"n_qubits": 9,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 500 |
bea6a6cdb0580b6327676d65fbabaa30 | 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": 1}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 3, "source": ... | {"states": [0, 256], "expectation_value": -28.21898148358422, "params": [-0.0035, -0.0079, 0.0005, 0.00030000000000000003, 0.0001, -0.005200000000000001, 0.30010000000000003, 0.3017, -0.007500000000000001, -0.0005, -0.0001, -0.003, -0.0002, -0.0037, -0.006500000000000001, -0.0054, -0.0036000000000000003, -0.0071, -0.00... | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(6) @ Z(0)) + -1.25 * (Z(9) @ Z(1)) + -0.75 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(6)) + -0.75 * (Z(11) @ Z(1)) + -0.25 * (Z(11) @ Z(0)) + -0.75 * (Z(11) @ Z(6)) + -0.5 * (Z(11) @ Z(9)) + -1.0 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(9)) + -0.25 * (Z(2) @ Z(11)) + -1.25 * (Z(5) @ Z(1)) + -1.75 *... | 14 | 12 | 3 | {"smallest_eigenvalues": [-32.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -30.75, "smallest_bitstrings": ["111011111111"], "largest_eigenvalue": 25.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.5735251502738256) q[0];
rz(1.5515736899658599) q[0];
rx(-0.41539300852147365) q[1];
rz(1.533267362037531) q[1];
rx(-0.2450946823209308) q[2];
rz(1.7768671322741536) q[2];
rx(1.501804879795295) q[3];
rz(1.645758292421326) q[3];
rx(0.6387878703641199) q[4];
rz(1.77... | 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": []} | [
"IIIIIIIIIIZZ",
"IIIIIZIIIIIZ",
"IIZIIIIIIIZI",
"IIZIIIIIIIIZ",
"IIZIIZIIIIII",
"ZIIIIIIIIIZI",
"ZIIIIIIIIIIZ",
"ZIIIIZIIIIII",
"ZIZIIIIIIIII",
"IIIIIIIIIZIZ",
"IIZIIIIIIZII",
"ZIIIIIIIIZII",
"IIIIIIZIIIZI",
"IIIIIZZIIIII",
"IIZIIIZIIIII",
"ZIIIIIZIIIII",
"IIIIIIZIIZII",
"IZIIIIIII... | [
-0.25,
-1.25,
-1.25,
-0.75,
-0.5,
-0.75,
-0.25,
-0.75,
-0.5,
-1,
-1,
-0.25,
-1.25,
-1.75,
-1.75,
-0.75,
-0.5,
-0.75,
-1.5,
-0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-1.25,
-0.25,
3.75,
-0.75,
-0.5,
-0.25,
-0.75,
-1.25,
2.25,
-0.25,
0.25,
-3,
1.75,
0.2... | 0.970173 | [
-0.5735251502738257,
-0.01922263682903594,
-0.4153930085214737,
-0.037528964757366834,
-0.2450946823209308,
0.20607080547925727,
1.501804879795295,
0.07496196562642952,
0.6387878703641199,
0.2068193775564685,
0.04590854464015422,
0.688089426804895,
0.20272586403655804,
0.4744130907089895,
... | {
"n_parameters": 58,
"n_qubits": 12,
"optimal_eigenvalue": -32.75,
"target_ratio": 0.97,
"target_value": -31.7675
} | 12 |
75418fdd8da598fc3e8edcb718b92636 | 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": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 2, "ta... | {"states": [100, 102], "expectation_value": -3.863176837241332, "params": [-0.0146, 0.3125, 0.605, 0.015700000000000002, 0.6097, 0.0014, -0.0051, 0.321, 0.5136000000000001, 0.2666, 0.6006, 0.0009000000000000001, 0.533, 0.07200000000000001, -0.009600000000000001, 0.34700000000000003, -0.0106, 0.31170000000000003, 0.6076... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(2) + -1.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(6) + -1.5 * Z(7) + -1.0 * Z... | 3 | 8 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["10011001", "10010011"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.12295771226040393) q[0];
rz(0.1275902105413813) q[0];
rx(0.989967665670258) q[1];
rz(-0.11401749507328107) q[1];
rx(1.0320656946055362) q[2];
rz(-0.5732027807794258) q[2];
rx(0.13447699865997312) q[3];
rz(0.5565418255155237) q[3];
rx(0.5097609518939538) 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": []} | [
"IIIIIZIZ",
"IIZIIIIZ",
"IZIIIIIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIZIIIII",
"ZZIIIIII",
"IIZIZIII",
"IIIIZIZI",
"IZIZIIII",
"IIIZZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIZIII",
"IIIIIIZI",
"IIIZIIII"
] | [
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,
-1,
-1.5,
-1,
0,
-0.5
] | 0.973068 | [
-0.1229577122604039,
0.132712894912221,
0.9899676656702578,
-0.21460220323168133,
1.0320656946055362,
-0.3486727829681791,
0.13447699865997315,
0.6014287262288881,
0.5097609518939535,
0.0448581939308689,
1.2764635796216597,
0.17445859990420093,
0.6760106210151836,
0.16606904673755815,
0.... | {
"n_parameters": 65,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 30 |
286938647322323628 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 3], [0, 2], [8, 4], [0, 4], [0, 5], [8, 6], [5, 7], [5, 6], [0, 3], [1, 3], [0, 7], [8, 3], [8, 5], [2, 5], [2, 4], [4, 7], [3, 4], [0, 1], [3, 5], [1, 5], [3, 7], [3, 6], [8, 1]]} | {"states": [455, 327], "expectation_value": -3.893302351884713, "params": null, "bitstrings": ["000111000", "010111000"], "total_optimization_steps": 78, "probabilities": [0.05966746017917943, 0.7083327600808185], "optimization_time": 180.35930228233337} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -3.5, "smallest_bitstrings": ["011010110", "010111000", "100101001", "011000111", "111000111", "000111000", "101000111", "100111000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.685820766556245) q[0];
h q[1];
ry(-0.1285406776519704) q[1];
h q[2];
ry(1.6505812015118293) q[2];
h q[3];
ry(-0.13038674514655227) q[3];
h q[4];
ry(-0.7115572628407212) q[4];
cx q[2], q[4];
ry(0.7115572628407212) q[4];
cx q[2], q[4];
ry(-0.19723170705950954... | 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[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];\n... | [
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIIIZIZ",
"ZIIIIZIII",
"IIIIZZIII",
"IIIIZIZII",
"IIIIZIIIZ",
"ZIIIZIIII",
"IIIZIZIII",
"IIIZIIZII",
"IIIZIIIIZ",
"ZIIZIIIII",
"IIZIIZIII",
"ZIZIIIIII",
"IIZZIIIII",
"IZIIIZIII",
"IZIIIIIIZ",
"IZIIZIIII",
"IZIZIIIII",
"IIIIIZIZI",
"IIIIIIIZZ",
"... | [
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,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.972584 | [
-0.26077349029310454,
1.0327515883104794,
-0.4020108847845147,
0.41285318438367824,
-0.3101488247601744,
1.6505812015118293,
-1.4231145256814424,
0.4922830022368682,
0.8430516075518869,
-0.5525695602179306,
1.3282055279384029,
-0.9105183762817275,
1.37164153311249,
-0.0289642498444814,
0... | {
"n_parameters": 55,
"n_qubits": 9,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 46 |
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": -1.2419894952438508, "params": [[0.06330000000000001, 0.054400000000000004, 0.0393, 0.06430000000000001], [-0.0695, -0.0482, -0.032, -0.048600000000000004]], "bitstrings": ["010110", "010011"], "total_optimization_steps": 10, "probabilities": [0.027484805233050087, 0.0274848052... | 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 | 4 | {"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] 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": []} | [
"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 |
b7dfca53cc287020b38c99c5dc4c04ae | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [148, 164], "expectation_value": -5.80610161463287, "params": [[0.4005, -0.0206, 0.40190000000000003, 0.37210000000000004, 0.31220000000000003, 0.39680000000000004, -0.0221, -0.024900000000000002], [0.3996, -0.0229, 0.40540000000000004, 0.3846, 0.35660000000000003, 0.3965, -0.02, -0.024200000000000003], [0.4... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) ... | 10 | 8 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.5, "smallest_bitstrings": ["00111011", "01101011", "01011011", "01101110", "11101100", "01010111"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.4883310117947093) q[0];
ry(0.1637345180127827) q[1];
ry(0.537042564537097) q[2];
ry(0.412750257309747) q[3];
ry(0.4720966921156343) q[4];
ry(0.47398805347168743) q[5];
ry(0.023743580772633353) q[6];
ry(0.02144566287724628) q[7];
cz q[7], q[6];
cz q[6], q[5];
cz 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[... | null | {"circuits": [], "gradients": []} | [
"IZIIIIIZ",
"IZIIIIZI",
"IZIIIZII",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IZIZIIII",
"IIIZIIZI",
"IIIZZIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIZIIII",
"IZZIIIII",
"IIZZIIII",
"ZIZIIIII",
"IZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII",
"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,
0.5,
0.5,
0.5,
-2,
0,
-2,
-1.5,
-1,
-2,
-1.5,
-1
] | 0.97256 | [
0.4883310117947093,
0.1637345180127827,
0.537042564537097,
0.412750257309747,
0.4720966921156343,
0.47398805347168743,
0.023743580772633353,
0.02144566287724628,
0.8621562586606482,
-0.060426042056428306,
0.16613907444325615,
0.07358952312862602,
0.21629518786305157,
0.6173419849652435,
... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 9 |
1f5d7944e50ebc48c654989c65672b6f | 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": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "source": 1, ... | {"states": [0, 1], "expectation_value": -6.325850860069514, "params": [0.0061, 0.2089, 0.0028, -0.5770000000000001, 0.0008, 0.1928, -0.0018000000000000002, 0.0059, -0.0016, -0.006500000000000001, 0.0026000000000000003, -0.5989, 0.0028, 0.56, 0.8049000000000001, -0.0008, 0.0013000000000000002, 0.0043, 0.0028, 0.0035, 0.... | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + 1.0 * (Z(7) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + 1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 1.0 * Z(7) + -1.2... | 3 | 8 | 2 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 7.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.09738613442502557) q[0];
rz(0.435952912591826) q[0];
rx(-0.047169160464950136) q[1];
rz(-0.90779886270394) q[1];
rx(-0.13931343964056148) q[2];
rz(0.2905097873613709) q[2];
rx(-0.03624817296492008) q[3];
rz(-0.01949650125297886) q[3];
rx(0.07846903487514233) 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",
"IIIIZIZI",
"IIIIZIIZ",
"ZIIIIIIZ",
"IIIZIIZI",
"IIZIIIZI",
"IIZIZIII",
"IIZIIZII",
"IZIZIIII",
"IZZIIIII",
"IZIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIZIIII",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII"
] | [
-0.5,
-0.75,
-0.25,
1,
-0.5,
-0.5,
-0.25,
-0.25,
-0.75,
-0.75,
-0.75,
1.25,
-0.25,
-0.75,
1,
-1.25,
0.25,
0.5,
-0.75
] | 0.971658 | [
0.0973861344250256,
0.16265904465971007,
-0.047169160464950136,
-0.7941578805206778,
-0.13931343964056148,
0.37706575029109946,
-0.03624817296492008,
-0.1970044103307955,
0.07846903487514233,
-0.11358981143886039,
0.012705731843903292,
-0.4464676850645991,
0.8094954770296601,
1.55968326296... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 10 |
cba3c0f3028bedd24c97c562399fe60f | kclique | adaptive_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": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [13, 7], "expectation_value": -12.05337476454533, "params": null, "bitstrings": ["1110010", "1111000"], "total_optimization_steps": 63, "probabilities": [0.26693860846756895, 0.4113682666829968], "optimization_time": 110.66783022880554} | 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(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.25 ... | 18 | 7 | 4 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-4.011935460582535e-09) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-4.011935460582535e-09) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-4.011935460582535e-09) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-4.011935460582535e-09) q[3];
c... | null | {"k": 4} | {"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(-1.5577) 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];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
-3.25,
-3.5,
-3.25,
-3.25,
-2.75,
-3.25,
-2.75
] | 0.740989 | [
-4.011935460582535e-9,
1.3554674035363465e-8,
0.9694266146810376,
1.5707964080681434,
-1.5707962967130897,
1.5707963408013987
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 195 |
cb23b1694a54570c0dc6ff3b8c0c90ef | 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": 4, "target": 5}, {"source": 6, "target": 7}, {"source": 6, "target":... | {"states": [63, 255], "expectation_value": -9.869015924061612, "params": null, "bitstrings": ["111000000", "100000000"], "total_optimization_steps": 98, "probabilities": [0.13695030006290218, 0.44163443267207914], "optimization_time": 133.33093214035034} | -1.0 * (Z(1) @ Z(2)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(5)) + -2.0 * (Z(8) @ Z(7)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(8) + -0.5 * Z(0) | 5 | 9 | 1 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-pi) q[0];
ry(-0.4063234386272677) q[0];
h q[1];
ry(1.610978467634834) q[1];
h q[2];
cx q[2], q[1];
ry(-1.610978467634834) q[1];
cx q[2], q[1];
ry(1.6093159559155896) q[2];
cx q[1], q[2];
ry(-1.6093159559155896) q[2];
cx q[1], q[2];
h q[3];
h q[4];
ry(1.6109784676348... | null | {"node": 1} | {"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(1.5706) q[6], 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... | [
"IIIIIIZZI",
"IIIIZZIII",
"IIZZIIIII",
"IZZIIIIII",
"IZIZIIIII",
"ZIZIIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIIZ"
] | [
-1,
-1,
-1.5,
-2,
-2,
0.5,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970535 | [
0.7659080522826166,
2.569384260925749,
0.4201156935188269,
2.4262929760440484,
0.4901510171385169,
3.221956935269668,
3.2186319118311792,
-1.2353245751939932,
0.6597871124405299,
-2.1380676118612456,
-0.00436145711029367,
0.2771083623078207,
1.0296163424441167,
0.5472836888911845,
0.1721... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 274 |
0ae9b6f2b61290137ab22e2dafb0c164 | edge_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": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [86, 90], "expectation_value": -1.7078306821951004, "params": null, "bitstrings": ["0101001", "0100101"], "total_optimization_steps": 54, "probabilities": [0.1005365462435313, 0.7008987205575532], "optimization_time": 65.98302960395813} | 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(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -1.0, "smallest_bitstrings": ["1000011", "0111000", "1010010", "0101100", "0101001", "0010110", "1100001", "0100110", "0100101", "1000110", "0011010"], "largest_eige... | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-2.877107649955667) q[0];
rz(-pi) q[0];
ry(-0.05357145502017478) q[1];
rz(-pi) q[1];
h q[2];
ry(1.2987883161683555) q[2];
ry(-0.03652883594563631) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.008100928029173525) q[3];
cx q[2], q[3];
ry(-0.03652883594563631) q[4];
rz(-pi) ... | 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];\ncry(-1.3016) q[5], 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];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IIZZIIZ",
"IZIZIII",
"ZIIZIII",
"ZZIIIII",
"ZZIZIII",
"IZIIIZI",
"IIZIZII",
"ZIIIZII",
"ZIZIIII",
"ZIZIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0,
-0.25,
0,
0,
0,
-0.25,
0
] | 0.99193 | [
-1.547794302812402,
-1.5261665628200867,
1.2987883161683555,
-0.01620185605834705,
0.015046013984830048,
0.20950853127499908,
0.061138862075359936
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
8a5dc9be309c81780f6428266fc77bbc | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 1, "target": 2}]} | {"states": [245, 238], "expectation_value": -0.49713940033099757, "params": [[0.0762], [-0.0733]], "bitstrings": ["100001010", "100010001"], "total_optimization_steps": 10, "probabilities": [0.0024257126513474556, 0.002425714438660938], "optimization_time": 3.2172129154205322} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.25 * (Z(8) @ Z(3)) + 0.5 * (Z(8... | 1 | 9 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["100010001", "010001100", "100001010"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-2.322389483957614e-09) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-2.322389483957614e-09) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-2.322389483957614e-09) q[1];
cx q[0], q[1];
h q[3];
cx q[0], q[3];
rz(-2.322389483957614e-09) q[3];
c... | 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[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[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(x0) q[1... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 2, "target": 1}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIZIIZII",
"IIIZIZIII",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIIIIIZII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIZIIIIII",
"IZIIIIZII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
1.5,
1,
1,
1.5,
1,
1.25,
1,
1.25,
1.5
] | 0.714286 | [
-2.322389483957614e-9,
4.1451823289962644e-8,
1.57079638027508,
-1.5711130946503415,
1.570796330588283,
-1.5707963417037913
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 230 |
f5d94ed048c28683c088d45a2d452aca | 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": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [14, 46], "expectation_value": -3.2795891335877836, "params": [0.16590000000000002, -0.0512, 0.39940000000000003, -0.0022, 0.1816, 0.15760000000000002, 0.40240000000000004, -0.0008, 0.39980000000000004, 0.001, 0.4086, 0.0032, -0.0063, 0.18510000000000001, 0.1695, 0.006900000000000001, 0.40230000000000005, -0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(4) + -2.0 * Z(6) + -1.0 * Z(2) + -0.5 * Z(5) + 0.0 * Z(3) | 4 | 7 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1010001"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.02552969185607684) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.02552969185607684) q[4];
cx q[0], q[4];
cx q[4], q[2];
rz(0.02552969185607684) q[2];
cx q[4], q[2];
rz(0.053037807579160656) q[4];
rx(0.03596552598350... | 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": []} | [
"IIIIIZZ",
"IIZIIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIZIZII",
"ZIIIZII",
"ZZIIIII",
"IZIIZII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IZIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-2,
-1,
-0.5,
0
] | 0.97526 | [
0.02552969185607684,
0.05303780757915737,
-0.932451183068515,
-0.44458931057038503,
0.7248839431352665,
0.035965525983503804,
-0.054060400986610024,
1.483589310496052,
-0.50274110913514,
-1.0054512469546093,
-1.424809320745203,
0.1323102766172392,
0.027709653532014676,
-0.3459560570964707,... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 32 |
8805250498708997380 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[5, 6], [0, 3, 7], [0, 2, 5], [1, 3], [3, 4, 5], [1, 2, 6, 7], [0, 1, 7], [0, 2, 6, 7]]} | {"states": [188, 186], "expectation_value": -2.3419507666316766, "params": null, "bitstrings": ["01000011", "01000101"], "total_optimization_steps": 50, "probabilities": [0.03919020166005703, 0.8792931024954818], "optimization_time": 82.67607426643372} | 0.5 * (Z(5) @ Z(6)) + 0.08333333333333333 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.41666666666666663 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.4166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.416666666666666, "smallest_bitstrings": ["01000101"], "largest_eigenvalue": 7.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.6421355519960423) q[0];
h q[1];
ry(-0.38214498506623945) q[1];
ry(-2.7882671827995975) q[2];
rz(-pi) q[2];
h q[3];
cx q[3], q[1];
ry(0.38214498506623945) q[1];
cx q[3], q[1];
ry(-0.7535771025135635) q[1];
ry(1.1746105816764003) q[3];
cx q[0], q[3];
ry(-0.30... | 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];\nry(1.5158) 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];\nc[6] = measure q[... | [
"IZZIIIII",
"IZIIIIIZ",
"IIZIIIIZ",
"IIZIZIII",
"IIIIZIIZ",
"ZZIIIIII",
"ZIIIIIIZ",
"ZIIIZIII",
"IZIIIZII",
"IIZIIZII",
"IIIIIZIZ",
"ZIIIIZII",
"IZIIIIZI",
"IIIIIIZZ",
"IIIIZIZI",
"ZIIIIIZI",
"IIIIIZZI",
"IIZZIIII",
"IIIZZIII",
"IZIIIIII",
"IIZIIIII",
"IIIIIIIZ",
"IIIIZII... | [
0.5,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.41666666666666663,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.25,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.5,
0.25,
0.08333333... | 0.975555 | [
1.6421355519960423,
-0.7642899701324789,
0.8732494049337788,
-0.75258913256704,
1.0450268040615822,
-0.72233364976198,
-0.6983023688043662,
0.6027223534852428,
0.3757166402160044,
1.0211112085534721,
-0.49452463523347717,
-0.11054946741839433,
0.6500404882602893,
0.39271929490245755,
0.3... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -2.4166666666666665,
"target_ratio": 0.97,
"target_value": -2.3441666666666663
} | 2 |
d95c3a2244b700f6823726532172eeb5 | 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": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [159, 158], "expectation_value": -47.06166105483778, "params": [0.2038, 0.20270000000000002, 0.392, 0.392, 0.0021000000000000003, 0.0035, 0.18810000000000002, 0.1918, 0.3941, 0.39490000000000003, 0.3971, 0.3942, 0.4016, 0.4017, 0.3967, 0.3947, 0.22870000000000001, 0.22920000000000001, 0.203, 0.20090000000000... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(4) @ Z(1)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(7) @ Z(0)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(7) @ Z(8)) + 4.0 * Z(0) + 6.5 * Z(1) + 1.0 * Z(3) + 10.0 * Z(5) + 12.5 * Z(4) + 7.5 * Z(6) + 4.5 * Z(8) + 16.0 * Z(7) + -12.5 * Z(2) | 14 | 9 | 3 | {"smallest_eigenvalues": [-76.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["101100001"], "largest_eigenvalue": 137.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.0964902674953495) q[0];
rz(pi/2) q[0];
ry(0.48070033441819293) q[1];
ry(-0.10179301105247972) q[2];
ry(0.26721122432224215) q[3];
ry(0.32539672024004845) q[4];
ry(0.3787870947717553) q[5];
ry(0.33981223425236545) q[6];
ry(0.07095954189902642) q[7];
ry(0.05222529151... | 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] 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 fl... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIZIZIII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"ZIZIIIIII",
"IZIIIIIIZ",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIIIZII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
4,
6.5,
1,
10,
12.5,
7.5,
4.5,
16,
-12.5
] | 0.976284 | [
0.0964902674953495,
0.48070033441819293,
-0.10179301105247972,
0.26721122432224215,
0.32539672024004845,
0.3787870947717553,
0.33981223425236545,
0.07095954189902642,
0.05222529151640439,
-0.22299386557557943,
-0.12156124979156112,
-0.11379042318365071,
-0.2658287780138808,
0.0511042416150... | {
"n_parameters": 103,
"n_qubits": 9,
"optimal_eigenvalue": -76.5,
"target_ratio": 0.97,
"target_value": -74.205
} | 21 |
35eda900f849f65d0cff23e7af228cca | 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": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 4, "s... | {"states": [5, 1], "expectation_value": -0.7930738243103711, "params": [[-0.0804], [0.0767]], "bitstrings": ["111111010", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0032663947189193144, 0.003441668309937963], "optimization_time": 2.878251075744629} | -0.75 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(0)) + 1.75 * (Z(8) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + -0.25 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-15.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.25, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.7590292831518554) q[0];
h q[1];
ry(-1.5180585663037107) q[1];
h q[2];
ry(-1.5180585663037107) q[2];
h q[3];
ry(-1.5180585663037107) q[3];
ry(-0.03253979615737071) q[4];
rz(-pi) q[4];
h q[5];
ry(-1.5180585663037107) q[5];
ry(-0.02565996005199503) q[6];
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] 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... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"ZIIIIIIIZ",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"IZIIIIIZI",
"IZIIIIZII",
"IZIIIZIII",
"IZIZIIIII",
"IIIIZIIZI",
"IIIIZZIII",
"ZIIIZIIII",
"IIIZZIIII",
"IIZIIIZII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
-0.75,
-0.75,
-0.5,
-0.25,
1.75,
-1,
-0.75,
-1.5,
-0.25,
-1,
-1,
-0.25,
-0.5,
-0.5,
-0.25,
-0.75,
-0.75,
-0.25,
0.25,
-0.25,
-1.75,
0.75,
1.5,
-0.75,
-1.25,
1,
0.5
] | 0.944216 | [
-1.5180585663037107,
1.570796361966778,
-0.8117670078046326,
-1.5057166941585869,
-1.5194764984840505,
-0.051319736517702254,
-0.06507967295787837,
-0.06507988172230492,
-0.05132031841585518
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -15.25,
"target_ratio": 0.97,
"target_value": -14.7925
} | 194 |
e6db2dfa08ae604c90d51443a84ac3aa | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": ... | {"states": [0, 895], "expectation_value": -17.02929930648982, "params": [0.1105, 0.4666, -0.0022, 1.6305, 0.22390000000000002, -0.5521, -0.0568, -0.3668, 0.7615000000000001, 1.3423, -0.010400000000000001, 1.6143, -0.8324, 1.3002, -0.1391, 1.9445000000000001, -0.7631, 1.0704, -0.028200000000000003, 1.3161, -0.7628, 0.92... | -2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(0)) + 1.0 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(6)) + 0.5 * (Z(9) @ Z(7)) + -2.... | 6 | 10 | 2 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["0010000000"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.32146682918983277) q[0];
h q[1];
h q[2];
h q[3];
ry(0.710109290808981) q[3];
h q[4];
ry(0.32146682918983277) q[4];
h q[5];
cx q[5], q[0];
ry(-0.32146682918983277) q[0];
cx q[5], q[0];
cx q[0], q[4];
ry(-0.32146682918983277) q[4];
cx q[0], q[4];
cx q[4], 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[... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIZIII",
"IIIIZZIIII",
"IIZZIIIIII",
"IZZIIIIIII",
"IZIZIIIIII",
"ZIZIIIIIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIZIIII"... | [
-2.5,
0.5,
-2.5,
0.5,
-2.5,
-2,
0.5,
-2.5,
1,
-2,
-2,
-1.5,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.962909 | [
0.6429336583796655,
1.420218581617962,
0.7301720949807214,
-0.8346875771130606,
0.5352653895369367,
0.973064560113228,
0.032924739863521554,
0.040913603743331924,
0.744673225486058,
1.3563168142516644,
0.19031197915580272,
-0.017749471946519643,
0.10632444600795163,
-0.3087380877661796,
... | {
"n_parameters": 74,
"n_qubits": 10,
"optimal_eigenvalue": -23,
"target_ratio": 0.97,
"target_value": -22.31
} | 500 |
b634e5a831fbb1f98b37ac471a0aca8a | 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": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [207, 205], "expectation_value": -69.8841259196785, "params": [0.3871, 0.5473, 1.3985, -0.0024000000000000002, 1.395, -0.0014, 0.0029000000000000002, -0.8339000000000001, 0.0105, -0.6717000000000001, 1.3921000000000001, -0.0019, 1.3973, -0.1522, 0.7725000000000001, -0.3234, 1.3907, 0.038900000000000004, 0.39... | 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(4) @ Z(1)) + 6.0 * (Z(7) @ Z(2)) + 6.0 * (Z(8) @ Z(7)) + 6.0 * (Z(5) @ Z(7)) + 6.0 * (Z(5) @ Z(8)) + 6.0 * (Z(6) @ Z(7)) + 6.0 * (Z(6) @ Z(8)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(3) @ Z(6)) + 2.5 * Z(0) + 12.5 * Z(2) + 14.0 * Z(1) + -1.0 * Z(4) + 1... | 18 | 9 | 2 | {"smallest_eigenvalues": [-85.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.0, "smallest_bitstrings": ["100110010"], "largest_eigenvalue": 152.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.043351668458823496) q[0];
rz(0.7470479350826036) q[0];
rx(1.5721108874344962) q[1];
rz(0.0008253503633947543) q[1];
rx(1.5441635917186536) q[2];
rz(-0.0198003994905063) q[2];
rx(-0.048099339943881825) q[3];
rz(-0.6842445280557734) q[3];
rx(0.05961370728505294) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIZIIZI",
"IZIIIIZII",
"ZZIIIIIII",
"IZIZIIIII",
"ZIIZIIIII",
"IZZIIIIII",
"ZIZIIIIII",
"IIZZIIIII",
"IIZIIZIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIZIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIZIIIII",
"IIZIIIIII",
"IIIIIZIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
2.5,
12.5,
14,
-1,
13,
13.5,
13,
17.5,
-5
] | 0.970228 | [
-0.0433516684588235,
0.5196601402649244,
1.5721108874344962,
0.0008253503633947543,
1.5441635917186536,
-0.0198003994905063,
-0.048099339943881825,
-0.6842445280557734,
0.05961370728505294,
-0.41710693248689723,
1.3506060833221147,
-0.09182132052683932,
1.4524405972437198,
-0.1469222556040... | {
"n_parameters": 51,
"n_qubits": 9,
"optimal_eigenvalue": -85,
"target_ratio": 0.97,
"target_value": -82.45
} | 11 |
5fcc80649738bc6ebb5e6ed34bbe4c7e | 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": 10, "source": 0, "... | {"states": [235, 218], "expectation_value": -34.64878887028983, "params": [[-0.0177, 0.037200000000000004, 0.0164, 0.0053], [0.0608, -0.043300000000000005, -0.057100000000000005, -0.061700000000000005]], "bitstrings": ["100010100", "100100101"], "total_optimization_steps": 10, "probabilities": [0.009445694220658692, 0.... | 4.5 * (Z(1) @ Z(0)) + 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(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-93.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -85.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 191.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(0.010140391540180461) q[1];
cx q[0], q[1];
h q[2];
cx q[0], q[2];
rz(0.010140391540180461) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.010140391540180461) q[4];
cx q[1], q[4];
cx q[4], q[2];
rz(0.010140391540180461) q[2];
c... | 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], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIIIZZII",
"IIIZIIIIZ",
"IIIZIIZII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIIZII",
"IIIIIZIII",
"... | [
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,
9.5,
19,
20.5,
19,
5,
16,
0.5,
22.5,
7
] | 0.970303 | [
0.010140391540180461,
-0.8817694782888895,
1.3155263900677148,
1.4508759433310259,
-0.8101524928797088,
1.3137525011632658,
-1.6824904086684709,
1.3585931394344348,
-1.481841102148397,
-1.6431853813891013,
0.03533870379598659,
-0.15660633617743086,
-1.9455151141205964,
-0.885918599559516,
... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -93,
"target_ratio": 0.97,
"target_value": -90.21
} | 76 |
62cf0b1aa2f21b710dc273bc2e7c1873 | min_cut | 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": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [32, 31], "expectation_value": -2.1652055599081, "params": [[-0.0403, -0.0505, -0.0499, -0.054700000000000006], [0.042100000000000005, 0.0528, 0.060700000000000004, 0.059000000000000004]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.034328365025380655, 0.0363441204... | -0.5 * (Z(0) @ Z(4)) + 0.75 * (Z(5) @ Z(0)) + -1.5 * (Z(1) @ Z(5)) + -2.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.75 * Z(4) + -0.25 * Z(0) + -1.25 * Z(5) + 0.25 * Z(1) + 1.25 * Z(2) + 1.75 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-6.75, -6.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.75, "smallest_bitstrings": ["100000", "100010"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.25137557506976543) q[0];
cx q[4], q[0];
cx q[4], q[2];
rz(-0.3034559764764657) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(0.32149893878205565) q[3];
cx q[4], q[3];
rz(0.05900538221320195) q[4];
rx(0.125911296508555... | 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": []} | [
"IZIIIZ",
"ZIIIIZ",
"ZIIIZI",
"IZIZII",
"IIIZZI",
"IZZIII",
"ZIZIII",
"IIZIZI",
"IIZZII",
"IZIIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIIZII",
"IIZIII"
] | [
-0.5,
0.75,
-1.5,
-2,
-0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-1.75,
-0.25,
-1.25,
0.25,
1.25,
1.75
] | 0.972404 | [
0.25137557506976543,
-0.30313069804113246,
0.23033659415730043,
-0.3034559764764657,
0.35568709670647886,
0.32149893878205565,
0.05900538221320224,
-0.175513034202568,
-0.3239146546667025,
-0.8972253164971841,
-0.9873010555019224,
0.12591129650855593,
-0.1131226468916046,
0.022047127083097... | {
"n_parameters": 48,
"n_qubits": 6,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 145 |
d081b5ece414d97b04408b0b42241cfc | max_flow | vqe | {"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": [1615, 1551], "expectation_value": -15.18039515168073, "params": [3.1618, 0.0032, 3.1618, 0.0022, 0.5502, 0.009000000000000001, 0.5521, 0.0061, -1.5035, 0.001, -0.0021000000000000003, 0.006500000000000001, -0.6156, 0.0036000000000000003, 3.1613, 0.0061, 3.1620000000000004, 0.0004, 3.1618, 0.00960000000000000... | 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)) + -... | 18 | 11 | 1 | {"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 |
-9060411630006318813 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], "hyperedges": [[8, 5], [9, 6], [1, 2, 6], [4, 7], [2, 3, 7, 9, 11, 12, 13], [0, 9, 4, 5], [0, 2, 3, 5, 9, 10, 11], [10, 5, 7], [0, 2, 3, 6, 7, 12], [0, 7, 8, 9, 10, 12, 13], [9, 2, 12, 4], [0, 2, 4, 8, 9, 10, 11], [9, 1], [0, 1, 3, 4, 5, 6, 10, 11], [8, 11, 12],... | {"states": [16271, 15247], "expectation_value": -5.159698644922383, "params": [1.5763, 1.5758, 1.5055, 1.5585, 1.5730000000000002, 1.5663, 1.1079, 0.9759000000000001, 1.4481000000000002, 1.4886000000000001, 1.4984000000000002, 1.57, 0.7524000000000001, 1.124, 0.36360000000000003, 0.37160000000000004, 0.2298, 0.2354, 0.... | 0.5 * (Z(8) @ Z(5)) + 0.15714285714285714 * (Z(9) @ Z(5)) + 0.047619047619047616 * (Z(9) @ Z(8)) + 0.017857142857142856 * (Z(6) @ Z(5)) + 0.041666666666666664 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(9)) + 0.017857142857142856 * (Z(1) @ Z(5)) + 0.06547619047619047 * (Z(1) @ Z(8)) + 0.5 * (Z(1) @ Z(9)) + 0.22619047619047616 * ... | 14 | 14 | 1 | {"smallest_eigenvalues": [-6.62142857142858], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.6035714285714295, "smallest_bitstrings": ["00010001110000"], "largest_eigenvalue": 25.000000000000043} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
ry(1.7884536650898952) q[0];
rz(pi/2) q[0];
ry(1.494611098436491) q[1];
ry(1.4700877158223347) q[2];
ry(1.6130021601468012) q[3];
ry(1.6475449611814916) q[4];
ry(1.8510488301122359) q[5];
ry(1.4456791461426914) q[6];
ry(0.23686048961516892) q[7];
ry(-0.2309920843412740... | 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": []} | [
"IIIIIZIIZIIIII",
"IIIIZIIIZIIIII",
"IIIIZZIIIIIIII",
"IIIIIIIZZIIIII",
"IIIIIZIZIIIIII",
"IIIIZIIZIIIIII",
"IIIIIIIIZIIIZI",
"IIIIIZIIIIIIZI",
"IIIIZIIIIIIIZI",
"IIIIIIIZIIIIZI",
"IIIIIIIIZIIZII",
"IIIIIZIIIIIZII",
"IIIIZIIIIIIZII",
"IIIIIIIZIIIZII",
"IIIIIIIIIIIZZI",
"IIIIIIIIZZIIII"... | [
0.5,
0.15714285714285714,
0.047619047619047616,
0.017857142857142856,
0.041666666666666664,
0.5,
0.017857142857142856,
0.06547619047619047,
0.5,
0.22619047619047616,
0.2738095238095238,
0.023809523809523808,
0.20476190476190476,
0.2333333333333333,
0.3333333333333333,
0.184523809523809... | 0.970571 | [
1.7884536650898952,
1.494611098436491,
1.4700877158223347,
1.6130021601468012,
1.6475449611814916,
1.8510488301122359,
1.4456791461426914,
0.23686048961516892,
-0.23099208434127402,
-0.11916387682957597,
1.8619252648893112,
1.536162877865216,
1.2256323896370167,
1.7025727408605085,
0.522... | {
"n_parameters": 56,
"n_qubits": 14,
"optimal_eigenvalue": -6.62142857142858,
"target_ratio": 0.97,
"target_value": -6.422785714285722
} | 31 |
682f7a8a829894a15c484537f301abdc | 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": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [219, 217], "expectation_value": -63.44907073213415, "params": [0.1968, 0.2592, 0.7010000000000001, 0.0013000000000000002, 0.6912, 0.0562, 0.16640000000000002, 0.2566, 0.6930000000000001, 0.0021000000000000003, 0.7000000000000001, -0.0128, 0.3514, -0.18180000000000002, 0.3725, 0.23170000000000002, 0.66560000... | 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(3) @ Z(5)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(7)) + 1.5 * Z(0) + 12.5 * Z(2) + 19.0 * Z(1) + 21.0 * Z(4) + 1... | 18 | 9 | 4 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["100100110"], "largest_eigenvalue": 149.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.15206348559453936) q[0];
rz(0.3110645398741738) q[0];
rx(0.7193989986977153) q[1];
rz(0.1786163302509175) q[1];
rx(0.904480582958329) q[2];
rz(-0.12357402558203492) q[2];
rx(0.01728362101934565) q[3];
rz(0.23451100674387168) q[3];
rx(0.616481659285241) 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] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
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 f... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIZIIZI",
"IIIZZIIII",
"IIIIZZIII",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIZIIII",
"IZIZIIIII",
"ZIIIIIZII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIZIIIII",
"IIIIIZIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
1.5,
12.5,
19,
21,
12.5,
1,
5,
5,
5.5
] | 0.972898 | [
-0.15206348559453933,
0.3756843958701915,
0.7193989986977153,
0.1786163302509175,
0.904480582958329,
-0.12357402558203492,
0.01728362101934565,
0.23451100674387168,
0.616481659285241,
-0.1670044261284083,
0.8680884550854526,
0.13467201206079218,
0.18193874350549727,
-0.1472543390492699,
... | {
"n_parameters": 104,
"n_qubits": 9,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 12 |
199bc20adfdca6d6b6a06391ec8e4ac2 | 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": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 4, "target": 5}, ... | {"states": [52, 75], "expectation_value": -0.17285349685394075, "params": [[-0.057300000000000004, -0.023200000000000002], [0.0683, 0.0482]], "bitstrings": ["1001011", "0110100"], "total_optimization_steps": 10, "probabilities": [0.00942582370390411, 0.009679991153955651], "optimization_time": 5.867049217224121} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + 0.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) + -0.5 * Z(6) + -0.5 * Z(5) + -0.5 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["0110100"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.4523877721739808) q[0];
cx q[2], q[0];
rz(-0.5386799338415806) q[0];
rx(1.0935187697481359) q[0];
h q[3];
cx q[2], q[3];
rz(-0.4523877721739808) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(-0.4523877721739808) q[1];
cx q[3], 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;
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[2], q[0];
rz(x0) q[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIZI",
"ZIIIIZI",
"IZIIZII",
"ZIZIIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"ZIIIIII",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.677103 | [
-0.4523877721739808,
1.116287236063286,
-0.5386799338415805,
0.23783543840422666,
1.093518769748136,
-1.0373413032551704,
0.8730239505219086,
0.5760838156648229,
0.5260612418381394
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 229 |
47a87bdf07cc47063498596ffad620cd | 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": 5, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6... | {"states": [0, 1], "expectation_value": -11.574333457079348, "params": [[[0.0023, 0.31980000000000003], [0.0001, 0.2111], [0.0036000000000000003, 0.45420000000000005], [0.0036000000000000003, 0.3715], [0.0037, 0.40790000000000004], [0.0006000000000000001, 0.4561], [0.6078, -0.0039000000000000003]], [[0.0063, 0.3679], [... | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + 3.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(2)) + -1.25 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(3)) + -1.25 * Z(1) + -0.25 * Z(0) + -1.0 * Z(2) + 1.5 * Z(3) + 2.75 * Z(6) + -1.25 * Z(4) + -0.5 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-15.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.75, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 18.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(1.6439167456375596) q[0];
ry(0.02681113321067513) q[0];
rz(-0.8254950939251424) q[0];
rz(-1.6129589340366464) q[1];
ry(0.09679043368465019) q[1];
rz(1.7911833287797307) q[1];
rz(2.746656283512543) q[2];
ry(0.11739870027006258) q[2];
rz(-2.10418036695263) q[2];
rz(3.0... | 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": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIIZZII",
"ZIIIIIZ",
"ZIIIZII",
"IIZZIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IIZIIII",
"IZIIIII"
] | [
-1.25,
-1.25,
-0.75,
-0.5,
3.5,
-0.75,
-1.25,
-2.5,
-1.25,
-0.25,
-1,
1.5,
2.75,
-1.25,
-0.5
] | 0.98969 | [
0.05613628652638576,
0.28671330987640287,
-0.09774063720559814,
-0.025903018917755954,
-0.021533019811019058,
0.29301895617195256,
0.3191194697274359,
0.19847189148966912,
0.37210421282661466,
-0.10822046162696106,
0.32501415811911316,
1.153468314716328,
-0.08450389839505314,
-0.0480774562... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -15.75,
"target_ratio": 0.97,
"target_value": -15.2775
} | 7 |
cfcf196786d6d074ade797fa6078553a | max_flow | 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": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capaci... | {"states": [390, 389], "expectation_value": -3.247186341818181, "params": [0.22690000000000002, -0.0786, 0.4, 0.0038, 0.4053, 0.007200000000000001, 0.0018000000000000002, 0.3149, 0.0021000000000000003, 0.22240000000000001, 0.0024000000000000002, -0.22590000000000002, 0.0014, 0.317, 0.4067, 0.0182, 0.394, 0.113300000000... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(3)) + -0.5 * (Z(9) @ Z(5)) + 0.5 ... | 18 | 10 | 4 | {"smallest_eigenvalues": [-6.166666666666667, -6.166666666666667, -6.166666666666667, -6.166666666666667, -6.166666666666667, -6.166666666666667, -6.166666666666667], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -5.833333333333334, "smallest_bitstrings": ["1001111010", "1001111001", "1000101001", "10011... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.38396551843230375) q[1];
cx q[2], q[1];
rz(-0.4140865431265359) q[1];
rx(1.4388351855267667) q[1];
rz(-0.4140865431265359) q[2];
rx(1.4388351855267667) q[2];
cx q[2], q[1];
rz(0.30052165692203675) q[1];
cx q[2], q[1];
rz(-0.8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x11;
in... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIZ",
"IIZIZIIIII",
"IIZIIIIIIZ",
"IIIIZIZIII",
"IIIIIIZIIZ",
"IIZIIIZIII",
"IIIIZZIIII",
"IIIIIZIIIZ",
"IIZIIZIIII",
"IIIIIZZIII",
"IZIIZIIIII",
"IZZIIIIIII",
"IZIIIIZIII",
"ZIIIZIIIII",
"ZIZIIIIIII",
"ZIIIIIZIII",
"ZZIIIIIIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IIIZIIZIII"... | [
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,
-1,
-1,
0.33333333333333337,
0,
0.33333333333333337,
1.5,
0,
-0.5,
1.5,
1.5,
-1.5,
0.6666666666666667,
0.6666666666666667
] | 0.970291 | [
0.034539384198122705,
0.1583793320365209,
0.13174966890782872,
0.023971881933780113,
0.38396551843230375,
0.9058271732652498,
-0.8544721743832904,
-0.8296736871253323,
-0.4140865431265362,
1.4388351855267667,
0.07083576534550291,
0.6657468360247684,
0.4231701738103223,
-0.5671362906981388,... | {
"n_parameters": 37,
"n_qubits": 10,
"optimal_eigenvalue": -6.166666666666667,
"target_ratio": 0.97,
"target_value": -5.9816666666666665
} | 261 |
857e65bd5af79cea0e3b06ea35e9b80e | 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": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 5... | {"states": [64, 63], "expectation_value": -0.4882519740647107, "params": [[-0.0708], [0.0753]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.009974734712631135, 0.010224353735950145], "optimization_time": 1.9390511512756348} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + 1.25 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * Z(2... | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["1000000", "1100000"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.2769341436219489) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.057074071219356405) q[3];
cx q[2], q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.057074071219356405) q[1];
cx q[2], q[1];
rz(0.057074071219356405) q[3];
cx q[0], 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[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[2], q[0];
rz(x0) q[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIIIZZI",
"IZIIZII",
"IZIIIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIIZIII",
"ZZIIIII",
"IIZIZII",
"IIZZIII",
"IIZIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IZIIIII",
"ZIIIIII",
"IIZIIII"
] | [
-0.25,
-0.75,
-0.75,
-0.75,
-0.5,
-0.75,
-0.25,
1.25,
-0.75,
-0.75,
-0.75,
-0.5,
-0.75,
-0.25,
-0.25,
0.25,
-2.25,
1,
-0.5,
2
] | 0.733794 | [
-0.2769341436219489,
0.057074071219356405,
0.18472090887069437,
-1.6078992780258565,
-1.5695343960588928,
1.488828008408487,
-1.4186602505274495,
-1.5303598749129772,
1.167335064925295
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 215 |
4743a42b98680c4f321c8f72a752812d | 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": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 4, "source": 3, "target": 4}, {"capaci... | {"states": [30, 447], "expectation_value": -4.3810738896991435, "params": [[0.0557, 0.045200000000000004, 0.0505, 0.0358], [-0.0523, -0.0507, -0.0711, -0.06670000000000001]], "bitstrings": ["111100001", "001000000"], "total_optimization_steps": 10, "probabilities": [0.00523100460299078, 0.0053272660711665], "optimizati... | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(8) @ Z(3)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(8)) + 1.0 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(8)) + 2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6... | 1 | 9 | 4 | {"smallest_eigenvalues": [-12.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.833333333333334, "smallest_bitstrings": ["001000000"], "largest_eigenvalue": 30.166666666666668} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.46649451005994) q[0];
h q[1];
ry(0.6154181234488859) q[1];
h q[2];
ry(-0.5514930215325138) q[2];
h q[3];
cx q[3], q[1];
ry(-0.6154181234488859) q[1];
cx q[3], q[1];
ry(0.8741378410306877) q[3];
cx q[1], q[3];
ry(-0.8741378410306877) 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] 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": []} | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIIIZZ",
"IZIIIZIII",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIZZIII",
"IZIIZIIII",
"ZIIIZIIII",
"IIIZIZIII",
"IZIZIIIII",
"ZIIZIIIII",
"IIIZZIIII",
"IIZIIZIII",
"IZZIIIIII",
"ZIZIIIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"... | [
-0.5,
-0.5,
0.33333333333333337,
-0.5,
-0.5,
1,
0.5,
-0.5,
-0.5,
1,
-1,
-1,
2,
0.5,
-0.5,
-0.5,
1,
2,
1,
0.16666666666666674,
0.16666666666666674,
-0.5,
-0.5,
3.5,
7,
3.5,
-0.16666666666666666
] | 0.972673 | [
0.2709847211916842,
0.40264555795763096,
0.12899811327846203,
1.513137859795444,
0.35718583373419116,
1.7142782611060803,
1.7328222848880896,
0.6485768347912756,
1.4510178964029241,
1.2308362468977718,
1.7482756820613754,
0.93298902011988,
0.15122911101274447,
-1.1029860430650276,
0.1357... | {
"n_parameters": 46,
"n_qubits": 9,
"optimal_eigenvalue": -12.166666666666666,
"target_ratio": 0.97,
"target_value": -11.801666666666666
} | 19 |
687ad66d074837850d4c9f256ef9a114 | 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": [126, 94], "expectation_value": -60.527671248449764, "params": [0.6482, 0.0031000000000000003, 3.1614, 0.005200000000000001, 1.568, 0.0033, 3.1597, 0.0086, 3.1613, 0.0025, 1.9175, 0.001, 3.1615, 0.0074, 0.38280000000000003, 0.006200000000000001, 0.0071, 0.002, 0.0034000000000000002, 0.0068000000000000005, 0.... | 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(2) @ Z(1)) + 6.0 * (Z(2) @ Z(5)) + 6.0 * (Z(2) @ Z(4)) + 6.0 * (Z(3) @ Z(5)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(6) @ Z(0)) + 6.0 * (Z(7) @ Z(3)) + 6.0 * (Z(7) @ Z(6)) + 9.5 * Z(1) + 4.0 * Z(0) + 13.0 * Z(5) + 15.5 * Z(4) + 17.0 * Z(2) + 20.0 * Z(3... | 18 | 8 | 1 | {"smallest_eigenvalues": [-70.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["10100001"], "largest_eigenvalue": 153.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.3060082031574518) q[0];
rz(-0.05579917955582303) q[0];
rx(3.1418377699858326) q[1];
rz(-0.13366309338547383) q[1];
rx(0.4665329788536921) q[2];
rz(0.713214246330286) q[2];
rx(3.199115878527341) q[3];
rz(-0.852185736062498) q[3];
rx(2.886191893562283) q[4];
rz(0.24... | 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": []} | [
"IIIIIIZZ",
"IIZZIIII",
"IIIIIZZI",
"IIZIIZII",
"IIIZIZII",
"IIZIZIII",
"IIIZZIII",
"IIIIZZII",
"IZIIIIIZ",
"ZIIIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"IIIZIIII",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
9.5,
4,
13,
15.5,
17,
20,
6,
2.5
] | 0.974828 | [
-0.3060082031574517,
0.09384099241162874,
3.1418377699858326,
-0.13366309338547383,
0.4665329788536921,
0.713214246330286,
3.199115878527341,
-0.852185736062498,
2.886191893562283,
0.24887080905485187,
2.9210688596801817,
-0.8201550748872175,
3.2150377358367845,
0.36919907232151444,
0.16... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -70.5,
"target_ratio": 0.97,
"target_value": -68.385
} | 16 |
d94808e5cc9b60725b159cb308a4d8c1 | min_cut | 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": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capaci... | {"states": [21, 29], "expectation_value": -6.808944959273738, "params": null, "bitstrings": ["101010", "100010"], "total_optimization_steps": 26, "probabilities": [0.4264570687841214, 0.4267568391128236], "optimization_time": 20.7784903049469} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -1.25 * (Z(2) @ Z(3)) + 1.25 * Z(1) + -0.25 * Z(0) + 1.25 * Z(3) + -1.5 * Z(4) + 0.5 * Z(5) + -1.25 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["100010", "101010"], "largest_eigenvalue": 9.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.3973990978795459) q[0];
h q[1];
ry(0.7210581234742061) q[1];
h q[2];
h q[3];
ry(1.508145619070655) q[3];
cx q[3], q[1];
ry(-0.7210581234742061) q[1];
cx q[3], q[1];
h q[4];
ry(-1.402367103280393) q[4];
h q[5];
cx q[5], q[0];
ry(0.3973990978795459) q[0];
cx... | null | {"source": 0, "sink": 5} | {"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[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... | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIZIII",
"IIZZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
-0.75,
-1,
-0.25,
-0.75,
-0.5,
-0.25,
-0.25,
1.75,
-1,
-1.25,
1.25,
-0.25,
1.25,
-1.5,
0.5,
-1.25
] | 0.973609 | [
-1.402367103280393,
-0.7947981957590918,
1.226614773855988,
1.508145619070655,
1.4421162469484121,
-0.23582571520858747,
0.17368093824506411,
-0.2690797596273954,
0.1449349374403027,
-0.4615274142083343,
-0.04054061261302525,
-0.4541789105974401
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 11 |
8081ecb114f8229fad56c3fc3471f424 | 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": 1}, {"source": 0, "target": 8}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"sour... | {"states": [376, 380], "expectation_value": -3.6209110308630557, "params": [[[0.8083, 0.0033], [-0.0128, -0.4], [0.8059000000000001, 0.0029000000000000002], [0.812, 0.0024000000000000002], [0.805, 0.0039000000000000003], [0.8053, -0.0021000000000000003], [0.8023, -0.0038], [-0.0146, -0.39980000000000004], [0.07, 0.3703... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.0 * Z(8) + 0.0 * Z(4) + 0.0 * Z(5) + -1.5 * Z(7) + -0.5 * Z(2) + -0.5... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["010000011"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-2.5655166572766372) q[0];
ry(2.862320852617174) q[0];
rz(-0.09332885207384223) q[0];
rz(-1.3744241075831212) q[1];
ry(0.10712348644888281) q[1];
rz(1.89773821870466) q[1];
rz(2.128536236342576) q[2];
ry(2.8431592220689894) q[2];
rz(-1.498012685631088) q[2];
rz(-2.97... | 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",
"ZIIIIIIIZ",
"IIIIZIIZI",
"IIIZIIIZI",
"IZIIIIIZI",
"ZIIIIIZII",
"IZIIIIZII",
"ZIIIIZIII",
"IZIIIZIII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1,
0,
0,
-1.5,
-0.5,
-0.5,
0
] | 0.975655 | [
0.8125083366369314,
0.37078033783736364,
-0.2898665656544766,
-0.1130786835396182,
1.7481236155914408,
0.1718137660307802,
0.6840083092700805,
0.49311011177055797,
1.0536292705681995,
-0.24945591235766054,
2.2629339086034506,
0.20610312006993595,
1.2348556075734205,
0.0857175714163566,
-... | {
"n_parameters": 34,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 32 |
8959529393640941648 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], "hyperedges": [[0, 1, 2, 4, 6, 8, 9, 10, 11, 13], [0, 1, 2, 3, 4, 6, 7, 8, 9, 10], [0, 1, 3, 6, 9, 12], [0, 3, 4, 6, 7, 9, 11], [0, 2, 4, 5, 7, 8, 9, 10, 11, 13], [8, 1, 12], [0, 3, 5, 9, 10, 11, 12], [1, 11, 12], [0, 1, 2, 3, 4, 5, 7, 9, 11, 13], [2, 3, 5, 9, 1... | {"states": [12199, 11254], "expectation_value": -1.697922259121672, "params": [[0.3413], [-0.3307]], "bitstrings": ["01000001011000", "01010000001001"], "total_optimization_steps": 40, "probabilities": [0.00022280977958354803, 0.00022454206408213946], "optimization_time": 59.28090476989746} | 0.09166666666666667 * (Z(0) @ Z(1)) + 0.05714285714285714 * (Z(2) @ Z(1)) + 0.0623015873015873 * (Z(2) @ Z(0)) + 0.07222222222222222 * (Z(4) @ Z(1)) + 0.11111111111111113 * (Z(4) @ Z(0)) + 0.0623015873015873 * (Z(4) @ Z(2)) + 0.11825396825396825 * (Z(6) @ Z(1)) + 0.10436507936507936 * (Z(6) @ Z(0)) + 0.0460317460317460... | 1 | 14 | 1 | {"smallest_eigenvalues": [-2.9067460317459632], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8988095238094016, "smallest_bitstrings": ["01010000001001"], "largest_eigenvalue": 15.00000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.010774327875593646) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.0020111280482985744) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.023316144041472163) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.03744737720849479) 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": []} | [
"IIIIIIIIIIIIZZ",
"IIIIIIIIIIIZZI",
"IIIIIIIIIIIZIZ",
"IIIIIIIIIZIIZI",
"IIIIIIIIIZIIIZ",
"IIIIIIIIIZIZII",
"IIIIIIIZIIIIZI",
"IIIIIIIZIIIIIZ",
"IIIIIIIZIIIZII",
"IIIIIIIZIZIIII",
"IIIIIZIIIIIIZI",
"IIIIIZIIIIIIIZ",
"IIIIIZIIIIIZII",
"IIIIIZIIIZIIII",
"IIIIIZIZIIIIII",
"IIIIZIIIIIIIZI"... | [
0.09166666666666667,
0.05714285714285714,
0.0623015873015873,
0.07222222222222222,
0.11111111111111113,
0.0623015873015873,
0.11825396825396825,
0.10436507936507936,
0.046031746031746035,
0.08492063492063492,
0.2376984126984127,
0.0623015873015873,
0.075,
0.0761904761904762,
0.0710317460... | 0.966016 | [
0.010774327875593646,
-0.0020111280482985744,
0.023316144041472163,
-0.03744737720849479,
-0.10799784833103153,
0.004574701378546497,
0.052729267420521565,
-0.0030402946810063024,
-0.016863159185724015,
-0.007220417909928636,
0.007393402330691495,
0.0016877210243870012,
0.011370206308733146,... | {
"n_parameters": 69,
"n_qubits": 14,
"optimal_eigenvalue": -2.9067460317459632,
"target_ratio": 0.97,
"target_value": -2.8195436507935843
} | 300 |
165d6f0b141cf9f7a9f492c4e4764575 | 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}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 5, "target":... | {"states": [0, 31], "expectation_value": -7.354368093954925, "params": [0.0014, 2.0568, -0.0025, 0.0073, -0.0024000000000000002, 1.8390000000000002, 0.0026000000000000003, 0.0089, -0.0026000000000000003, 1.9211, 0.0022, 0.0092, -0.46, 2.0585, 0.7958000000000001, 0.0014, -1.0104, 1.5849, 0.16920000000000002, 0.0028, -1.... | 0.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + -2.0 * Z(1) + -1.5 * Z(0) + 1.0 * Z(3) + -1.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) | 6 | 9 | 1 | {"smallest_eigenvalues": [-10.0, -10.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.0, "smallest_bitstrings": ["101000000", "111100000"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-pi) q[0];
ry(-1.8112395897138282e-07) q[0];
h q[1];
ry(-1.570796351538755) q[1];
h q[2];
ry(-1.5707963552991886) q[2];
rz(-pi) q[3];
ry(-1.8112395897138282e-07) q[3];
h q[4];
ry(1.189273446370109) q[4];
h q[5];
ry(0.7853981394745616) q[5];
h 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[... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIZZIIII",
"IIZZIIIII",
"IIZIZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
0.5,
-1.5,
0.5,
0.5,
-1.5,
-1.5,
0.5,
-1,
-2,
-1.5,
1,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.925 | [
-1.570796351538755,
1.5707962789491232,
1.2309594495785878,
2.378546892740218,
-1.5707963552991886,
2.7768840471003804,
3.2084491529584276,
-1.5707966392186492,
-1.5707961632163816,
0.7630455459864877,
-2.1385505370603055e-8,
2.6259958712798394e-7,
-1.3914987523402447,
1.1880521838555604e-... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 331 |
2fde01ebb7d3cd1daf98d95b5f19909d | 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": 13, "source": 0, "target": 5}, {"weight": 16, "source": 0, "target": 3}, {"weight": 18, "source": 1, "target": 3}, {... | {"states": [121, 118], "expectation_value": -11.367053590820372, "params": [[-0.039], [0.0779]], "bitstrings": ["10000110", "10001001"], "total_optimization_steps": 10, "probabilities": [0.0073582713848298655, 0.008439322806505096], "optimization_time": 2.0196139812469482} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 20.0 * Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-70.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 147.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.07427298662465327) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.07427298662465327) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.07427298662465327) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.07427298662465327) q[3];
cx q[1], 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[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[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZZIII",
"IIZIIZII",
"IIZZIIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"ZIIIIZII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
20,
5,
14.5,
17,
9,
11,
10.5,
4.5
] | 0.970934 | [
0.07427298662465327,
-1.4746527526723987,
0.5195060594398412,
-0.9525594040303011,
-1.4597959388112045,
0.3211671694017895,
-1.6745883128150552,
-0.9711864288713873,
0.6027278372357929,
0.2385736843446129,
-0.03375219622682421,
-0.3875539840557747,
0.9499103781916123,
-0.5066415936816603,
... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -70.5,
"target_ratio": 0.97,
"target_value": -68.385
} | 45 |
368ce493601834d2754b8bc1a894f055 | 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": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"sour... | {"states": [274, 282], "expectation_value": -5.9939315212731685, "params": [1.6139000000000001, 0.0077, 0.0019, 0.0061, 0.5242, 0.0001, 0.17850000000000002, 0.0082, 1.612, 0.009600000000000001, 1.6001, 0.0004, -0.0166, 0.003, 1.6078000000000001, 0.0098, 0.0025, 0.0067, 0.004, 0.0077, 0.0053, 0.0024000000000000002, 0.00... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["011100101"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(2.6242123627496765) q[0];
rz(-0.24126225904184784) q[0];
rx(-0.03776153252167881) q[1];
rz(-0.3309541421436748) q[1];
rx(0.07064210854208759) q[2];
rz(0.010403092532763392) q[2];
rx(-0.0545151061538972) q[3];
rz(-0.43565250783766984) q[3];
rx(2.8056466367534183) 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": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIIZIZII",
"IIIZIIIZI",
"IIIZIZIII",
"IZIIIIIZI",
"IZIIIZIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIZIIZIII",
"IIZIZIIII",
"IZZIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"... | [
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,
-0.5,
-0.5,
-1.5,
-1.5,
-1,
-1.5,
-2,
-1.5
] | 0.970707 | [
2.6242123627496765,
0.09783609776444759,
-0.03776153252167882,
-0.37987219102589925,
0.07064210854208759,
0.2337359254148193,
-0.05451510615389719,
-0.22259114858516,
2.8056466367534183,
0.7377714502945085,
2.6946296912627345,
-0.03849823162491165,
0.22904285845483538,
0.39705956421870897,... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 16 |
965cefed52e621c4c90674f817650a6a | 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": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 1... | {"states": [16, 17], "expectation_value": -8.301632447653244, "params": [[[-0.0033, 0.0059], [0.0024000000000000002, 0.0022], [1.6075000000000002, 0.0045000000000000005], [0.0026000000000000003, 0.007], [0.0026000000000000003, 0.0081], [0.0027, 0.0088], [1.6018000000000001, 0.0088]]], "bitstrings": ["1101111", "1101110... | -0.75 * (Z(0) @ Z(5)) + -1.5 * (Z(1) @ Z(5)) + -1.5 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(2)) + -0.75 * Z(5) + -0.25 * Z(0) + 0.0 * Z(1) + -0.5 * Z(4) + 2.25 * Z(2) + -0.75 * Z(3) +... | 1 | 7 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1101110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.1371628149450172) q[0];
rz(0.10881632348659742) q[0];
rx(0.1864024038899948) q[1];
rz(-0.3195045955826069) q[1];
rx(2.9880337255288247) q[2];
rz(0.22207265633894677) q[2];
rx(-0.13106700905450344) q[3];
rz(0.2476665926713589) q[3];
rx(-0.13106700905450344) 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] 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;
rx(x0) q[0];
rz(x1... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"IZIIIZI",
"IZZIIII",
"IIZIIZI",
"IIIIZZI",
"IZIZIII",
"IIIZZII",
"ZIIIIIZ",
"ZIZIIII",
"ZIIIZII",
"IZIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIZIIII",
"IIIIZII",
"IIIZIII",
"ZIIIIII"
] | [
-0.75,
-1.5,
-1.5,
-0.75,
-0.75,
-1.5,
-0.75,
1,
-0.25,
-0.75,
-0.75,
-0.25,
0,
-0.5,
2.25,
-0.75,
0
] | 0.97292 | [
0.1371628149450172,
0.10881632348659742,
0.1864024038899948,
-0.3195045955826069,
2.9880337255288247,
0.22207265633894677,
-0.13106700905450344,
0.2476665926713589,
-0.3079948270469457,
-0.013323840461271053,
0.4235835529470447,
2.634184532901478
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 11 |
3891428211511463459 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2], [0, 2, 4, 6], [0, 1], [4, 5], [4, 7], [0, 3], [1, 4]]} | {"states": [87, 168], "expectation_value": -0.005782970447411922, "params": [[0.025500000000000002], [-0.0181]], "bitstrings": ["10101000", "01010111"], "total_optimization_steps": 10, "probabilities": [0.003947670162156459, 0.0039512813388282875], "optimization_time": 2.0284929275512695} | 0.5 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0000000000000004, "smallest_bitstrings": ["01010111"], "largest_eigenvalue": 4.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-6.253204243594601e-09) q[1];
cx q[2], q[1];
cx q[2], q[0];
rz(6.475528281455274e-09) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(-6.253204243594601e-09) q[0];
cx q[1], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(6.475528281455274e-09) 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;
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[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[0];
rz(x1) q[0];
cx q[2], q[0];
cx q[1], q... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIIZIZ",
"IIIIIIZZ",
"IIIZIZII",
"IIIZIIZI",
"IIIZIIIZ",
"IZIIIZII",
"IZIIIIIZ",
"IZIZIIII",
"IIZZIIII",
"ZIIZIIII",
"IIIIZIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIZIII"
] | [
0.5,
0.08333333333333333,
0.5,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.5,
0.1250000000000001,
0,
0.125,
0.125,
0.125,
0,
0,
0
] | 0.923077 | [
-6.253204243594601e-9,
6.475528281455274e-9,
1.5707963323374674,
-1.5707962969068883,
-1.570796312198592
] | {
"n_parameters": 5,
"n_qubits": 8,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 165 |
96d41fb9b0deffe0bdd55a434690df7b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [3895, 2871], "expectation_value": -1.8910365972609526, "params": [[[1.9113, 0.0012000000000000001], [1.4938, 0.007], [1.8975000000000002, 0.0057], [1.9046, 0.0073], [0.2505, 0.0077], [-0.0022, 0.00030000000000000003], [1.8986, 0.005200000000000001], [1.9031, 0.0023], [0.9875, 0.0095], [1.9034, 0.0035], [1.8... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0... | 1 | 12 | 1 | {"smallest_eigenvalues": [-5.03125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.03125, "smallest_bitstrings": ["010011001000"], "largest_eigenvalue": 6.96875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(3.4517102541903903) q[0];
rz(1.91747394517382) q[0];
rx(0.051815461079852215) q[1];
rz(0.40469520034053874) q[1];
rx(3.404279309344945) q[2];
rz(-0.020061939555673647) q[2];
rx(3.2315155427744293) q[3];
rz(0.05811928280114925) q[3];
rx(-0.08125122120231372) 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": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIIZZZI",
"IIIIIIIIZZZZ",
"IIIIIIIZIIIZ",
"IIIIIZIIIIZI",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIIZZIIIIZI",
"IIIIIZIIIZII",
"IIIZIIIII... | [
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,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,... | 0.981602 | [
3.4517102541903903,
1.91747394517382,
0.051815461079852215,
0.40469520034053874,
3.404279309344945,
-0.020061939555673647,
3.2315155427744293,
0.05811928280114925,
-0.08125122120231372,
0.35569299438394075,
-0.06577007830615747,
1.263686933908639,
3.2889069913342537,
-1.9364345365654556,
... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -5.03125,
"target_ratio": 0.97,
"target_value": -4.8803125
} | 46 |
068ca9ebc869ed2b6b1f40ca0469471e | vertex_cover | adaptive_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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [98, 97], "expectation_value": -5.496515641776487, "params": null, "bitstrings": ["0011101", "0011110"], "total_optimization_steps": 28, "probabilities": [0.06700895329534476, 0.9297461640990027], "optimization_time": 23.91456913948059} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(2) + -0.5 * Z(0) + -2.0 * Z(3) + -1.0 * Z(1) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["0111010", "0011101", "0011110"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.3957985069517005) q[0];
h q[1];
ry(1.5114028040861018) q[1];
h q[2];
ry(-1.526922983837543) q[2];
h q[3];
ry(-1.526922983837543) q[3];
ry(-0.11440455969290664) q[4];
rz(-pi) q[4];
h q[5];
ry(-0.5672591944997557) q[5];
h q[6];
cx q[6], q[5];
ry(0.56725919449... | 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(-1.5708) 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[6];\n", ... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIIIZZI",
"IIIZIZI",
"IIZIZII",
"IIZZIII",
"IIZIIZI",
"IZIIZII",
"IZZIIII",
"ZIIZIII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
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,
-0.5,
-2,
-1,
-1.5,
-1,
-0.5
] | 0.997874 | [
-1.526922983837543,
-1.4021260090422283,
1.3957985069517005,
1.5114028040861018,
-1.1345183889995114,
0.552255256194146,
-0.39609545392408263,
0.5830247778065006,
-0.30424605695940454,
0.31827948046517196,
-0.26416314121957485,
-0.10853151611952326,
-0.05051947752201759,
0.1195228129329295... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
20a60ed013bc1976376f734be7d8d92c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [12, 3], "expectation_value": -0.03630829797696984, "params": [[-0.0048000000000000004, -0.0548], [-0.0393, 0.0545]], "bitstrings": ["0011", "1100"], "total_optimization_steps": 10, "probabilities": [0.06554691919519642, 0.06554691919519653], "optimization_time": 1.3417036533355713} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + -0.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1100", "0011"], "largest_eigenvalue": 4.0} | 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... | 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[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(x0) ... | null | {"circuits": [], "gradients": []} | [
"IZIZ",
"ZIIZ",
"IZZI",
"ZIZI",
"IZII",
"IIIZ",
"ZIII",
"IIZI"
] | [
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 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 |
e877d3b2f9804d2377a79bff7b887b67 | matching | adaptive_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": 8, "source": 0, "t... | {"states": [203, 110], "expectation_value": -36.69061979915625, "params": null, "bitstrings": ["00110100", "10010001"], "total_optimization_steps": 100, "probabilities": [0.21089202198921272, 0.27726799749448156], "optimization_time": 168.61170172691345} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 17.5 * Z(1) + 8.5 * Z(0) + 12.0 * Z(2) + 7.0 * Z(3) + 1.... | 1 | 8 | 3 | {"smallest_eigenvalues": [-64.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 137.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.017981262724299375) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.017981262724299375) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.017981262724299375) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.017981262724299375) q[3];
cx q[1], ... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 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(7.7632) 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];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZZIII",
"IIZIIIIZ",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"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,
17.5,
8.5,
12,
7,
1,
13,
16.5,
7.5
] | 0.970765 | [
0.017981262724299375,
1.212573707341711,
-1.1550771248156908,
1.124609087092233,
-1.1078500346923374,
1.1151316255952932,
0.7676345067154235,
1.0291231689972888,
-1.2517005821613711,
-0.5279065003893286,
0.022474379738371658,
0.4465780795699846,
-0.8665322393723809,
0.03468356842517979,
... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -64,
"target_ratio": 0.97,
"target_value": -62.08
} | 63 |
2578399584052386360 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 5, 6], [1, 4, 6], [1, 3], [1, 5], [0, 5, 6], [0, 1], [0, 3, 5], [2, 3, 6], [0, 2, 3], [0, 4, 6]]} | {"states": [79, 75], "expectation_value": -2.794934954961625, "params": null, "bitstrings": ["0110000", "0110100"], "total_optimization_steps": 31, "probabilities": [0.4559189445876995, 0.521275472743725], "optimization_time": 38.509841442108154} | 0.16666666666666666 * (Z(2) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.3333333333333333 * (Z(4) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.3333333333333333 * (Z(3) @ Z(2)) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.833333333333333, -2.833333333333333, -2.833333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["0110000", "0100001", "0110100"], "largest_eigenvalue": 8.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-3.0438647867451922) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.7345028868217038) q[1];
h q[2];
ry(-0.5448171681096997) q[2];
h q[3];
ry(1.4152048811889713) q[3];
cx q[3], q[1];
ry(0.7345028868217038) q[1];
cx q[3], q[1];
cx q[3], q[2];
ry(0.5448171681096997) q[2];
cx q[3], q... | 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(1.5592) 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", "... | [
"IZIIZII",
"ZZIIIII",
"ZIIIZII",
"IZIIIZI",
"ZIIIIZI",
"ZIZIIII",
"IIZIIZI",
"IZIZIII",
"IIIZZII",
"ZIIZIII",
"IIIZIZI",
"IZIIIIZ",
"IIIIZIZ",
"ZIIIIIZ",
"IIIIIZZ",
"IIZIIIZ",
"IIIZIIZ",
"IZIIIII",
"IIIIZII",
"ZIIIIII",
"IIIIIZI",
"IIZIIII",
"IIIZIII",
"IIIIIIZ"
] | [
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.... | 0.991074 | [
1.7271312740976037,
1.4152048811889713,
-1.4690057736434077,
1.380736829635088,
-1.0896343362193994,
1.29634736208749,
-0.10522125712701544,
-0.4058945083450962,
0.3470117652772856,
0.05424923562080845,
0.18466326063041555,
-0.0819319647956927,
-0.04984939659682423,
-0.012929946425991816,
... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -2.833333333333333,
"target_ratio": 0.97,
"target_value": -2.748333333333333
} | 1 |
6c4c8df370f6ecf478f9950d001f8aa2 | 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": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [940, 428], "expectation_value": -95.57171400063608, "params": [[[0.4047, -0.0061], [0.6942, -0.0038], [0.6424000000000001, -0.0006000000000000001], [0.0182, 0.0027], [0.909, 0.2696], [0.0839, 0.336], [-0.2029, 1.0838], [0.4237, 0.9428000000000001], [0.8278000000000001, 0.502], [0.5112, 0.3645]], [[0.7745000... | 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(0) @ Z(2)) + 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(4) @ Z(1)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(6) @ Z(1)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(8) @ Z(1)) + 6.0 * (Z(8) @ Z(4)) + 6.0 * (Z(8) @ Z(6)) + 6.0 * (Z(7) @ Z(0)) + 6.0 * (Z(7) @ Z(8)) + 6.0 * (Z(9) @ Z(2)) + 12.5 * Z(2) ... | 15 | 10 | 4 | {"smallest_eigenvalues": [-109.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -94.5, "smallest_bitstrings": ["1001010011"], "largest_eigenvalue": 179.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.11158324166639057) q[0];
rz(0.43140702547671417) q[0];
rx(1.2530378332743333) q[1];
rz(-0.04055455497321883) q[1];
rx(0.9600313883276212) q[2];
rz(0.3248560750494861) q[2];
rx(-0.09671725815676027) q[3];
rz(-0.5972457934269297) q[3];
rx(1.2050370965440966) q[4];
r... | 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], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIZIIIIZI",
"IIIZIZIIII",
"IIIZZIIIII",
"IZIIIIIIZI",
"IZIIIZIIII",
"IZIZIIIIII",
"IIZIIIIIIZ",
"IZZIIIIIII",
"ZIIIIIIZII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIZIIIIII"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
12.5,
23.5,
8,
21,
-4,
18,
-5,
13.5,
9.5,
-1.5
] | 0.972253 | [
0.11158324166639058,
0.3727873333652022,
1.2530378332743333,
-0.04055455497321883,
0.9600313883276212,
0.3248560750494861,
-0.09671725815676027,
-0.5972457934269297,
1.2050370965440966,
0.017747746461416226,
-0.05471764409543766,
0.5067544016524477,
0.9626450507763745,
0.010251710838258836... | {
"n_parameters": 86,
"n_qubits": 10,
"optimal_eigenvalue": -109.5,
"target_ratio": 0.97,
"target_value": -106.215
} | 9 |
4aaa125e56185799ad2bd158a4062dac | 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}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [287, 511], "expectation_value": -14.00924251779882, "params": null, "bitstrings": ["1011100000", "1000000000"], "total_optimization_steps": 100, "probabilities": [0.09895602550452737, 0.49674388802823], "optimization_time": 144.3633108139038} | -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(1) @ Z(9)) + -1.5 * (Z(1) @ Z(8)) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(9) + 0.5 * Z(8) + 0.5 * Z(1)... | 5 | 10 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.1424354046833544) q[0];
rz(-pi) q[0];
h q[1];
ry(1.6357309187732048) q[1];
h q[2];
ry(1.6357309187732048) q[2];
h q[3];
h q[4];
ry(0.2929231966718812) q[4];
cx q[3], q[4];
ry(-0.2929231966718812) q[4];
cx q[3], q[4];
cx q[4], q[2];
ry(-1.6357309187732048) q[2];
c... | null | {"node": 1} | {"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];\ncry(1.5681) q[8], q[9];\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] = measu... | [
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIZZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"ZZIIIIIIII",
"ZIIIIIIIZI",
"IZIIIIIIZI",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ"
] | [
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.974635 | [
0.5858463933437624,
3.2714618375464095,
-0.4156098933814716,
2.3050604960220444,
0.6025039477855643,
3.179575549155217,
2.1924789149309776,
-1.5334667610471882,
-1.3993228564192464,
-0.3580399058017901,
-0.0023497857324623825,
0.12103639315876398,
0.2091572595003413,
-0.8444837777245437,
... | {
"n_parameters": 37,
"n_qubits": 10,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 202 |
34d5dc2e9aad35b904c913d8064475cf | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 4}, {"weight": 14, "source": 0, "target": 8}, {"weight": 19, "sourc... | {"states": [490, 234], "expectation_value": -64.51311059902325, "params": [0.18130000000000002, -0.0989, 0.1869, -0.1041, 0.3886, 0.0787, 0.38870000000000005, 0.0317, 0.39540000000000003, 0.0511, 0.39130000000000004, 0.0383, 0.3942, 0.0728, 0.3907, 0.0505, -0.00030000000000000003, 0.22820000000000001, 0.006200000000000... | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 12.0 * Z(2) + 9.0 * Z(0) + 13.0 * Z(1) + 9.5 * Z(3) + 9.5 * Z(5) + -3.0 * Z(4) + 2.0 * Z(6) + 8.5 * ... | 5 | 9 | 4 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 114.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-1.6494726613948478) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-0.2282545894292129) q[1];
rz(-pi) q[2];
ry(-1.5758659650345728) q[2];
h q[3];
ry(63.96144940718184) q[3];
cx q[3], q[1];
ry(-3.5090997176923766) q[1];
cx q[3], q[1];
ry(5.855094360550592) q[3];
cx q[1], q[3];... | 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": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIZZIIII",
"IIZIIIIZI",
"IZZIIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
12,
9,
13,
9.5,
9.5,
-3,
2,
8.5,
3.5
] | 0.972058 | [
63.806887745058965,
17.338271785296804,
63.96144940718184,
7.018199435384753,
11.710188721101185,
4.5318791449975,
1.5633390008792403,
-0.12690827253619685,
0.47597344806441794,
-0.3120845216869001,
0.35421875147235715,
-0.06875244303751611,
0.2948575552749345,
-0.08224529955035009,
0.46... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -71,
"target_ratio": 0.97,
"target_value": -68.87
} | 121 |
4100956486e3cd626bf6b734439a9442 | 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": 4, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 4, "source": 2, ... | {"states": [1, 33], "expectation_value": -12.143621670548288, "params": [-0.0067, 1.0689, 0.004, 0.6235, 0.47640000000000005, 0.24830000000000002, -0.0024000000000000002, -0.6457, -0.012100000000000001, 0.8330000000000001, -0.006500000000000001, 0.9549000000000001, -0.006, 0.9631000000000001, 0.7507, 0.1309000000000000... | -1.0 * (Z(0) @ Z(4)) + -1.0 * (Z(5) @ Z(4)) + -1.25 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(5)) + -1.25 * (Z(7) @ Z(4)) + 2.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(1)) + -1.0 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(7)) + -0.75 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -1.75 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z... | 3 | 8 | 4 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.5, "smallest_bitstrings": ["11010110", "11011110"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-0.36507215311141916) q[0];
ry(0.1606680727892612) q[0];
rz(-3.1120225183555164) q[0];
rz(-1.6974293651824617) q[1];
ry(0.12226078549667259) q[1];
rz(-1.765542409788857) q[1];
rz(1.4012838825746217) q[2];
ry(2.7094293037524295) q[2];
rz(0.4384078166226839) q[2];
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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIZZIIII",
"IIZIIIIZ",
"IIZIIIZI",
"ZIIZIIII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIZIZII",
"ZIIIIZII",
"IZZIIIII",
"IZIIIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIZIII",
"IIIZIIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIIIIZII",
"IZIIIIII",
"IIIIZIII"
] | [
-1,
-1,
-1.25,
-0.75,
-1.25,
2.5,
-0.25,
-1,
-1,
-0.75,
-1.5,
-0.5,
-1.75,
-1,
0.25,
-0.25,
-0.5,
-0.5,
0,
3,
-1.25,
-0.75
] | 0.97352 | [
0.1134832255971797,
1.1174981403632047,
0.09639840408591,
0.9532138935218629,
1.0658192895910572,
0.7517790201206351,
-0.12008148993226303,
0.9898750488260064,
-0.12636517154354449,
1.3801412492016694,
0.010841736970453125,
1.3004956258393354,
-0.046647450318931034,
1.7660312049563776,
-... | {
"n_parameters": 46,
"n_qubits": 8,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 7 |
-8473790875840092208 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 1], [11, 3, 7], [0, 2], [1, 4], [3, 5], [2, 6], [9, 10]]} | {"states": [491, 2922], "expectation_value": -2.4315694738905145, "params": [[[1.5677, 1.5687], [1.5679, 1.5677], [-1.3763, 1.5682], [-1.0096, 1.5710000000000002], [1.9982000000000002, 1.306], [0.1801, 0.8602000000000001], [-0.8749, 0.8405], [1.3959000000000001, 1.6909], [1.6115000000000002, 1.2795], [1.5701, 1.5781], ... | 0.5 * (Z(10) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(9) @ Z(5)) + 0.16666666666666666 * (Z(9) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(11) @ Z(2)) + 0.0 * Z(1) + 0.0 * Z(10) + 0.16666666666666663 * Z(5) + 0.16666666666666... | 15 | 12 | 1 | {"smallest_eigenvalues": [-3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333, -3.33333333333... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.5242887108612204) q[0];
ry(1.5412548333953533) q[1];
ry(-1.6748478173584294) q[2];
ry(-1.7230725239371025) q[3];
ry(1.5288351357999463) q[4];
ry(-1.3155038490026354) q[5];
ry(-1.4827295980956332) q[6];
ry(1.5946772202254238) q[7];
ry(1.549942784437239) q[8];
ry(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": []} | [
"IZIIIIIIIIZI",
"IIIIIIZIZIII",
"IIZIIIZIIIII",
"IIZIIIIIZIII",
"IIIIIIIZIIIZ",
"IIIIIZIIIIZI",
"IIIIZIZIIIII",
"IIIZIIIZIIII",
"ZIIIIIIIIZII",
"IIIIIIIIIIZI",
"IZIIIIIIIIII",
"IIIIIIZIIIII",
"IIIIIIIIZIII",
"IIZIIIIIIIII",
"IIIIIIIZIIII",
"IIIIIIIIIIIZ",
"IIIIIZIIIIII",
"IIIIZIIII... | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0.16666666666666663,
0.16666666666666666,
0.16666666666666666,
0,
0,
0,
0,
0,
0,
0
] | 0.981559 | [
1.5242887108612204,
1.5412548333953533,
-1.6748478173584294,
-1.7230725239371025,
1.5288351357999463,
-1.3155038490026354,
-1.4827295980956332,
1.5946772202254238,
1.549942784437239,
1.5469086706103834,
1.4916140438014656,
1.616426068275965,
1.7274321155746215,
1.5787628636870723,
1.5667... | {
"n_parameters": 22,
"n_qubits": 12,
"optimal_eigenvalue": -3.333333333333333,
"target_ratio": 0.97,
"target_value": -3.233333333333333
} | 35 |
7b1dd374f7c2cf5be5981d1c372dcf1d | 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}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 3, "source": 1, "target": 7}, {"capac... | {"states": [512, 511], "expectation_value": -1.3416493952643016, "params": [[0.0713], [-0.0799]], "bitstrings": ["0111111111", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.0017505566636216716, 0.0017924495656256245], "optimization_time": 3.5680627822875977} | -0.75 * (Z(0) @ Z(2)) + -1.25 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(0)) + -0.75 * (Z(1) @ Z(7)) + -0.25 * (Z(9) @ Z(2)) + 1.75 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(7)) + -1.0 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(9)) + -1.0 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(4)... | 1 | 10 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.021273534094767586) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[7];
rz(0.001681281274041877) q[7];
cx q[2], q[7];
cx q[0], q[7];
rz(-0.021273534094767586) q[7];
cx q[0], q[7];
cx q[7], q[1];
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] 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... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIZIIIIZII",
"IIZIIIIIIZ",
"IIZIIIIIZI",
"ZIIIIIIZII",
"ZIIIIIIIIZ",
"ZIIIIIIIZI",
"IIIZIIIZII",
"IIZZIIIIII",
"IIIZIIIIZI",
"ZIIZIIIIII",
"IIIIIIZZII",
"IIIZIIZIII",
"IIIIIZIZII",
"IIZIIZIIII",
"IIIIZIIIZI",
"ZIIIZIIIII",
"IZIIIIIZII",
"IZIIIIIIZI",
"ZZIIIIIIII"... | [
-0.75,
-1.25,
-0.75,
-0.75,
-0.25,
1.75,
-0.25,
-0.75,
-1.25,
-1,
-0.25,
-1,
-0.5,
-1,
-0.75,
-1,
-1,
-0.25,
-0.5,
-1.25,
-1.5,
-0.25,
-1,
-3.25,
-0.25,
1.75,
-1.5,
-1.25,
0.75,
0.5,
0,
1,
2.25
] | 0.684334 | [
-0.021273534094767586,
0.001681281274041877,
-0.003574272188941552,
1.555134915114404,
-0.05961594475175597,
-0.028049659536788573,
0.35356721720590467,
-1.5580953636423875,
1.6148854870733713,
-0.6941374216737662,
-0.6803960826015727,
1.5503610702716313,
1.5987857025493981,
-1.32129705542... | {
"n_parameters": 14,
"n_qubits": 10,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 449 |
4c20f1c198d9974c2e06b7b7ac531193 | 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": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [128, 127], "expectation_value": -7.022897248419655, "params": [[[-0.14650000000000002, -0.6325000000000001], [-0.0046, -0.3045], [0.002, 0.0018000000000000002], [0.0017000000000000001, 0.0019], [0.0022, 0.0004], [-0.001, 0.001], [0.5496, -1.1427], [0.2036, -0.28240000000000004]], [[0.2318, -0.1114], [0.0005... | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + -1.25 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + 0.75 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(6)) + -0.5 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2) + 0.5 * Z(3) + 1.25 ... | 15 | 8 | 4 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["10000000", "10000100"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.22157641917024928) q[0];
ry(0.00898152646378737) q[1];
ry(0.02472649820771007) q[2];
ry(0.05763287371265249) q[3];
ry(0.0036084805931868484) q[4];
ry(-0.04749337088044957) q[5];
ry(1.0911704212811806) q[6];
ry(0.2493891450036926) q[7];
cx q[7], q[0];
cx q[6], q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIIZ",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
-0.25,
-1.25,
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
-1.25,
-1,
0.75,
-1.25,
-0.5,
-0.25,
1.5,
0.5,
1.25,
-1,
-1,
-0.5
] | 0.971183 | [
-0.22157641917024928,
0.00898152646378737,
0.02472649820771007,
0.05763287371265249,
0.0036084805931868484,
-0.04749337088044957,
1.0911704212811806,
0.2493891450036926,
-0.9012942735590549,
-0.24745318900433683,
-0.01707069937213386,
-0.08040860354516637,
-0.03283962223876556,
0.089752880... | {
"n_parameters": 58,
"n_qubits": 8,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 51 |
15a5f37f6b324be94a7fa874923284e5 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "ta... | {"states": [21, 7], "expectation_value": -6.408861275999227, "params": [[0.0663], [-0.075]], "bitstrings": ["11101010", "11111000"], "total_optimization_steps": 10, "probabilities": [0.006767368147903913, 0.006978394602864286], "optimization_time": 4.6997389793396} | 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)) + 2.75 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2... | 5 | 8 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.08660647235805458) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.08660647235805458) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.08660647235805458) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.08660647235805458) q[3];
cx 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;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2]... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIZIIIZI",
"IIZIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
2.75,
3,
3,
2.75,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
-7,
-7.25,
-7,
-7.25,
-7.25,
-6.5,
-6.5,
-6.25
] | 0.9711 | [
-0.08660647235805458,
-0.12731865885304094,
0.486571998827358,
0.7706787253710705,
-0.8608749269636787,
-0.3691202591452013,
0.9610136853971378,
-0.12372097609642718,
0.008478123483654525,
1.277526397553868,
0.6268134313552999,
-0.10538367740546278,
-0.7851989999830177,
0.6744201652912936,... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 86 |
-227393197464119352 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 10], [0, 7], [3, 5], [9, 5], [10, 7], [1, 2], [9, 6], [8, 10], [0, 1], [1, 10], [8, 1], [0, 4], [1, 4], [5, 7], [9, 4], [4, 5], [3, 4], [2, 5], [9, 7], [8, 6], [0, 3], [0, 6], [8, 7], [10, 4], [0, 9]]} | {"states": [493, 492], "expectation_value": -0.06960971107371956, "params": [0.7296, 0.7306, 0.7565000000000001, 0.7542, 0.8173, 0.8133, 0.8567, 0.8572000000000001, 0.8517, 0.8499, 0.8181, 0.8244, 0.7209, 0.7224, 0.8517, 0.8548, 0.8446, 0.8467, 0.7408, 0.7375, 0.7654000000000001, 0.7611, -0.114, 0.0015, 0.1125, 0.00240... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(10) @ Z(0)) + 0.5 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(... | 13 | 11 | 1 | {"smallest_eigenvalues": [-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, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -4.5, "smallest_bitstrings": ["01000111100", "00111101100", "01111001101", "10111000011", "10110010011", "01101011100", "01101011001", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.24223871445910514) q[0];
rz(-0.3019063360474755) q[0];
ry(-0.18929125409234288) q[1];
ry(1.052099595372022) q[2];
ry(1.2297560594949835) q[3];
ry(2.0223888806191685) q[4];
ry(2.2106788335539496) q[5];
ry(-0.05488864209421129) q[6];
ry(2.0223888806191685) q[7];
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": []} | [
"IIIIIIIIZIZ",
"IIZIIIIIZII",
"IIZIIIIIIIZ",
"IIIIIIZIIIZ",
"IIZIZIIIIII",
"IIIIZIZIIII",
"ZIIIIIIIIIZ",
"ZIZIIIIIIII",
"ZIIIZIIIIII",
"IIIIIIIIZZI",
"IIIIIIIIIZZ",
"IIIIZIIZIII",
"IIIIIIIZIZI",
"IIIZIIIIIIZ",
"ZIIZIIIIIII",
"IZIIIIIIZII",
"IZZIIIIIIII",
"IZIIIIIIIZI",
"IZIZIIIII... | [
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,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.974845 | [
-0.24223871445910514,
-0.18929125409234288,
1.052099595372022,
1.2297560594949835,
2.0223888806191685,
2.2106788335539496,
-0.05488864209421129,
1.68351873798551,
-0.09430165585933407,
-0.023664589584535822,
-0.603812672094951,
-0.5018242446339631,
-0.45124291834698055,
-0.0747267676688909... | {
"n_parameters": 42,
"n_qubits": 11,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 55 |
ab957251534d09507f870c3a6ef42154 | 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": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [37, 5], "expectation_value": -1.5035184629861196, "params": [0.5198, -0.0388, 0.5055000000000001, -0.053700000000000005, 0.0035, 0.4526, 0.5389, -0.0055000000000000005, 0.003, 0.45070000000000005, 0.5567, 0.0002, 0.5189, -0.038200000000000005, 0.5026, -0.0545, 0.0, 0.4308, 0.5369, -0.008, 0.0012000000000000... | 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)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -0.25 * Z(0) + -0.25 * Z(1) + -0.75 * Z(2) + -0.25 * Z(3) + -0.75 * Z(4) + -... | 3 | 6 | 3 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["011110", "111010", "101011", "001111"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.8371932544002377) q[0];
rz(0.20858065204347453) q[0];
ry(-0.45655694041749045) q[1];
ry(0.4641984393163029) q[2];
ry(-0.19028136922153194) q[3];
ry(1.019406464640929) q[4];
ry(-0.07467794364198581) q[5];
ry(0.1078744572788903) q[6];
ry(0.5781622452340566) q[7];
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": []} | [
"IIIIZZ",
"IIIZIZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZZIII",
"ZIZIII",
"ZZIIII",
"ZZZIII",
"ZIIIZI",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.25,
-0.25,
-0.75,
-0.25,
-0.75,
-0.25
] | 0.97248 | [
0.8371932544002377,
-0.45655694041749045,
0.4641984393163029,
-0.19028136922153194,
1.019406464640929,
-0.07467794364198581,
0.1078744572788903,
0.5781622452340566,
-0.09758270765337963,
0.42316099187094136,
-0.019552344140408177,
0.5019802359551023,
0.41716130408694907,
-0.391375460764549... | {
"n_parameters": 94,
"n_qubits": 12,
"optimal_eigenvalue": -1.5131944444444438,
"target_ratio": 0.97,
"target_value": -1.4677986111111105
} | 23 |
2398b0b8852b758caa629303970b584b | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [490, 494], "expectation_value": -2.78159546159681, "params": [0.0032, 0.006200000000000001, 0.3937, 0.3914, 0.29560000000000003, 0.2979, 0.3679, 0.37160000000000004, 0.35750000000000004, 0.34500000000000003, 0.0244, 0.0257, 0.398, 0.3991, 0.2349, 0.23900000000000002, 0.3926, 0.3875, -0.002, -0.0051, 0.0103,... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(3) @ Z(7)) + ... | 14 | 10 | 4 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.375, "smallest_bitstrings": ["0010100100", "1000010001", "0011000001", "0100010100"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.039254698902790326) q[0];
rz(pi/2) q[0];
ry(0.3648670593836806) q[1];
ry(0.3376361431186225) q[2];
ry(0.37423268336375176) q[3];
ry(0.5746655888699254) q[4];
ry(-0.09537820387184358) q[5];
ry(0.4618259931807873) q[6];
ry(0.43542575300609276) q[7];
ry(0.45015024645... | 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": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIZZZIII",
"IIIIIIZIIZ",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IIIZIIZIII",
"IIZIIIZIII",
"IIZZIIIIII",
"IIIZIIZIIZ",
"IIZIIIZIIZ",
"IIZZIIIIIZ",
"IIZZIIZIII",
"IIZZIIZIIZ",
"IIIIIZIIZI"... | [
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,
0.125,
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,
... | 0.9724 | [
0.039254698902790326,
0.3648670593836806,
0.3376361431186225,
0.37423268336375176,
0.5746655888699254,
-0.09537820387184358,
0.4618259931807873,
0.43542575300609276,
0.45015024645460006,
0.02352608316433561,
0.3808695150484027,
-0.32131097767290606,
0.1267658218374237,
-0.03091676333232282... | {
"n_parameters": 152,
"n_qubits": 10,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 36 |
c57625ce2de67c1086ad1c24582707c2 | min_cut | 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": 2}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [0, 1], "expectation_value": -2.814576222619659, "params": [[[0.0033, 0.0078000000000000005], [1.1822000000000001, 0.0098], [0.0027, 0.0046], [1.1812, 0.0012000000000000001], [0.0024000000000000002, 0.0014], [1.6139000000000001, 0.005200000000000001]]], "bitstrings": ["111111", "111110"], "total_optimization... | -0.75 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * Z(2) + -0.25 * Z(0) + 0.5 * Z(1) + -0.75 * Z(4) + 0.75 * Z(5) + 0.5 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.25, "smallest_bitstrings": ["111110", "101010", "111010", "101110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-pi) q[0];
ry(-0.04555174660829865) q[0];
h q[1];
rz(-pi) q[2];
ry(-0.04555174660829865) q[2];
h q[3];
h q[4];
ry(-0.7617454856021101) q[4];
h q[5];
ry(1.6259872692335873) q[5];
cx q[5], q[4];
ry(0.7617454856021101) q[4];
cx q[5], q[4];
ry(0.03538166069087447) 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] 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[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIIZZI",
"IZIZII",
"ZIIZII",
"ZIIIIZ",
"IZZIII",
"IIIZII",
"IIIIIZ",
"IIIIZI",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
-0.75,
-0.5,
-0.25,
-0.25,
1,
-0.5,
-0.75,
-0.25,
0.5,
-0.75,
0.75,
0.5
] | 0.994308 | [
1.6259872692335873,
-1.6769397797965455,
-1.5234909712042202,
0.07076332138174894,
0.09535941020082443,
0.07848445490394958,
0.12118341278670078
] | {
"n_parameters": 7,
"n_qubits": 6,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 1 |
e575a14a89af079e304723b8762217e6 | 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}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 7}, {"capac... | {"states": [1, 353], "expectation_value": -0.5642390538552855, "params": [[-0.0873], [0.081]], "bitstrings": ["1111111110", "1010011110"], "total_optimization_steps": 10, "probabilities": [0.0014973652936882752, 0.0015113623766088184], "optimization_time": 2.735224962234497} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(5)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(9) @ Z(1)) + 1.25 * (Z(9) @ Z(0)) + -0.75 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(7)) + -0.75 * (Z(2) @ Z(4)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-10.25, -10.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.25, "smallest_bitstrings": ["1010011110", "1010011100"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1612457172407779) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.40565078144166083) q[3];
cx q[1], q[3];
h q[4];
cx q[1], q[4];
rz(0.40565078144166083) q[4];
cx q[1], q[4];
cx q[3], q[4];
rz(0.40565078144166083) q[4];
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[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]... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIZIIIIZ",
"IIZIIIIIIZ",
"IIZIZIIIII",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIIIIZZIII",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"IIIIZIIZII",
"IIZIIIIZII",
"IIIIIZIZII",
"IIIZZIIIII",
"IIIZIIIZII",
"IZZIIIIIII",
"IZIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIZIIIII",
"IIZIIIIIII"... | [
-0.25,
-0.5,
-0.25,
-0.25,
-0.75,
-0.75,
-0.75,
-0.5,
1.25,
-0.75,
-0.25,
-0.75,
-0.75,
-0.25,
-0.25,
-0.5,
1.25,
-0.25,
1.25,
-1,
0,
-0.25,
0.75,
-1.5,
-1,
0.75
] | 0.605831 | [
0.1612457172407779,
0.10147505219535687,
0.40565078144166083,
-0.8424615880318636,
1.381056839063767,
-0.6839441314799481,
-1.1811102668139923,
1.22221045195082,
1.106525711542307
] | {
"n_parameters": 9,
"n_qubits": 10,
"optimal_eigenvalue": -10.25,
"target_ratio": 0.97,
"target_value": -9.942499999999999
} | 223 |
5bfd79024282ae69c62758a244a2de56 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 5}, {"weight": 1, "... | {"states": [1685, 2709], "expectation_value": -1.5123420178549798, "params": [-1.0491000000000001, -0.7605000000000001, 0.6577000000000001, 0.6705, 1.5578, 0.9794, 0.6714, 0.5989, 0.801, 0.7972, 0.0184, -0.0257, 0.0033, 0.014700000000000001, 0.7881, 0.7833, 0.0059, -0.0044, 0.7836000000000001, 0.7898000000000001, -0.00... | 0.25 * (Z(0) @ Z(1)) + -0.0013888888888888892 * (Z(2) @ Z(0)) + -0.0013888888888888892 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0010416666666666667 * (Z(4) @ Z(0)) + -0.0010416666666666667 * (Z(4) @ Z(2)) + -0.0010416666666666667 * (Z(5) @ Z(1)) + -0.0010416666666666667 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 13 | 12 | 2 | {"smallest_eigenvalues": [-1.5208333333333335, -1.5208333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5104166666666665, "smallest_bitstrings": ["010101101010", "101010010101"], "largest_eigenvalue": 1.5145833333333332} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(3.040705587759774) q[0];
ry(3.0322761206209288) q[0];
rz(0.23746657912877067) q[0];
rz(-0.5485384081350269) q[1];
ry(0.03463465039766057) q[1];
rz(1.8086014627808424) q[1];
rz(2.1740019225107847) q[2];
ry(2.742027400286282) q[2];
rz(-0.45482682963069987) q[2];
rz(0.8... | 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[... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.0013888888888888892,
-0.0013888888888888892,
0.25,
-0.0010416666666666667,
-0.0010416666666666667,
-0.0010416666666666667,
-0.0010416666666666667,
0.25,
0.00034722222222222224,
0.00034722222222222224,
0.0005208333333333333,
0.00034722222222222224,
0.00034722222222222224,
0.00052... | 0.974004 | [
1.0529037450256176,
0.06477150500217821,
0.0632023087334098,
0.46017332254292537,
1.2192432119969236,
0.14088225722938502,
1.1314918741657554,
-0.05745195682464036,
-0.04240668812804869,
-0.5477397576739919,
-0.046155027306700576,
-0.6332603826055265,
1.1415462481792484,
-0.100403553526293... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 15 |
100b035d500fd4645fd2b0e271b9dd47 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 4}, {"capaci... | {"states": [31, 5], "expectation_value": -0.8607012969936135, "params": [[0.0482, 0.0531, 0.0352, 0.053500000000000006], [-0.038700000000000005, -0.049, -0.0362, -0.041800000000000004]], "bitstrings": ["100000", "111010"], "total_optimization_steps": 10, "probabilities": [0.027274370782686196, 0.02764592749449386], "op... | -0.75 * (Z(0) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(5) + -1.5 * Z(1) + 0.5 * Z(4) + 1.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["111010"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.036361120549268114) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.036361120549268114) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.036361120549268114) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(-0.036361120549268114) q[3... | 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": []} | [
"IIIZIZ",
"ZIIIIZ",
"IIIZZI",
"IZIZII",
"ZZIIII",
"IZIIZI",
"IIZZII",
"ZIZIII",
"IZZIII",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IZIIII",
"IIZIII"
] | [
-0.75,
1,
-0.75,
-0.75,
-0.25,
-0.75,
-0.75,
-0.5,
-0.25,
0,
-0.25,
0.25,
-1.5,
0.5,
1
] | 0.970014 | [
-0.036361120549268114,
0.14405844121527378,
-0.13116864722027602,
-0.09016403948180983,
-0.42208946727799673,
1.032345964282921,
-0.27380445100274553,
-0.67408198946556,
-0.7224973711725445,
-0.10950294361258778,
0.4622101983096701,
-0.0277322755715016,
0.07715182970014163,
0.5101723696398... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 90 |
a6b55510d801a5adbb40af21b637103f | 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": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "target": 5}, {"source": ... | {"states": [511, 255], "expectation_value": -0.3984205866357099, "params": [[0.0495], [-0.0426]], "bitstrings": ["1000000000", "1100000000"], "total_optimization_steps": 10, "probabilities": [0.001162678017951716, 0.0011629592246007495], "optimization_time": 2.534839153289795} | 0.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(8)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2... | 1 | 10 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["1100000000"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.23074334202937433) q[0];
cx q[1], q[0];
rz(-1.6945576451742816) q[0];
rx(-0.8660449364081567) q[0];
rz(-1.6945576451742816) q[1];
rx(-0.8660449364081567) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-1.1627155476015958) q[2];
cx q[3], 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[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[0];
cx q[3], q[2];
... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIIZIZII",
"IZIIZIIIII",
"IZIZIIIIII",
"IIIZZIIIII",
"IZZIIIIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IZIIIIIIII",
"IIIIZIIIII",
"IIIZIIIIII"... | [
0.5,
-1.5,
-1.5,
0.5,
-2,
-2,
0.5,
-2.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.505572 | [
-0.23074334202937433,
-1.1627155476015958,
-0.9253551215159689,
-0.526037244139037,
-1.6945576451742816,
-0.8660449364081567
] | {
"n_parameters": 6,
"n_qubits": 10,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 176 |
5034f358b60bb2416ead39a148c379a9 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "so... | {"states": [22, 20], "expectation_value": -3.720877105514398, "params": [0.24530000000000002, 0.1811, 0.0014, 0.3133, 0.0015, 0.4602, 0.0071, -0.233, 0.0018000000000000002, 0.45790000000000003, 0.5997, 0.0009000000000000001, 0.004, 0.4273, 0.5953, 0.2974, 0.5809000000000001, 0.2381, 0.0001, 0.36760000000000004, 0.24480... | 0.5 * (Z(6) @ Z(9)) + -0.5 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @ Z(6)) + -0.5 * (Z(4) @ Z(9)) + -1.0 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + -1.0 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + -0.5... | 18 | 10 | 3 | {"smallest_eigenvalues": [-4.999999999999999, -4.999999999999999, -4.999999999999999, -4.999999999999999, -4.999999999999999, -4.999999999999999], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.666666666666666, "smallest_bitstrings": ["1111000011", "1110100101", "1110100011", "1111101011", "1111101101"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.14975641425785782) q[0];
rz(-0.24066575353239905) q[0];
rx(-0.029767164686135283) q[1];
rz(0.3653588270419897) q[1];
rx(0.3317262262044513) q[2];
rz(0.5082732848714967) q[2];
rx(-0.15126513794220642) q[3];
rz(-0.4534054877104098) q[3];
rx(-0.15126513794220642) 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": 4} | {"circuits": [], "gradients": []} | [
"ZIIZIIIIII",
"ZIIIIIZIII",
"IIIZIIZIII",
"ZIIIIZIIII",
"IIIZIZIIII",
"IIIIIZZIII",
"ZIIIZIIIII",
"IIIZZIIIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIZZIIIIII",
"IIZIIIZIII",
"IIZIIZIIII",
"IZIZIIIIII",
"IZIIIIZIII",
"IZIIIZIIII",
"IZZIIIIIII",
"ZIIIIIIIIZ",
"IIIIZIIIIZ",
"IIIIIIIZZI"... | [
0.5,
-0.5,
-1,
-0.5,
-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,
-0.16666666666666666,
-1,
0,
0,
0,
1,
0.5,
0.5,
0.33333333333333337,
-0.3333333333333333,
-0.3333333333333333
] | 0.971455 | [
-0.14975641425785782,
-0.11209317022898643,
-0.029767164686135283,
0.3653588270419897,
0.3317262262044513,
0.5082732848714967,
-0.15126513794220642,
-0.4534054877104098,
-0.5290115692496197,
3.337196961070229,
0.5105458374502797,
-0.0002835019568109137,
0.29026291769365165,
2.8482360447786... | {
"n_parameters": 29,
"n_qubits": 10,
"optimal_eigenvalue": -4.999999999999999,
"target_ratio": 0.97,
"target_value": -4.849999999999999
} | 30 |
1781163408287408601 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 3, 1, 7], [0, 1, 4, 6, 7, 8], [0, 9, 2, 3], [8, 4, 5, 6], [1, 2, 4, 7], [1, 2, 6], [0, 2, 7, 8, 9], [2, 5, 6, 7, 8], [1, 5], [0, 3, 4, 6, 7, 8, 9]]} | {"states": [189, 701], "expectation_value": -2.4735868456885206, "params": null, "bitstrings": ["1101000010", "0101000010"], "total_optimization_steps": 64, "probabilities": [0.0630475248829782, 0.817116374758285], "optimization_time": 163.2714295387268} | 0.19047619047619047 * (Z(9) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(9)) + 0.10714285714285714 * (Z(7) @ Z(3)) + 0.15714285714285714 * (Z(7) @ Z(9)) + 0.2 * (Z(7) @ Z(1)) + 0.10714285714285714 * (Z(0) @ Z(3)) + 0.15714285714285714 * (Z(0) @ Z(9)) + 0.03333333333333333 * (Z(0) @ Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-2.540476190476191, -2.540476190476191], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.523809523809524, "smallest_bitstrings": ["0100000011", "0101000010"], "largest_eigenvalue": 9.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
ry(-0.4744787941535797) q[1];
h q[2];
ry(1.4701608657293685) q[2];
h q[3];
ry(-0.13845165370440204) q[3];
cx q[0], q[3];
ry(0.13845165370440204) q[3];
cx q[0], q[3];
ry(-0.18830390390042406) q[0];
cx q[3], q[0];
ry(0.18830390390042406) q[0];
cx q[3], q[... | null | null | {"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(1.5125) 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]... | [
"ZIIIIIZIII",
"IIIIIIZIZI",
"ZIIIIIIIZI",
"IIZIIIZIII",
"ZIZIIIIIII",
"IIZIIIIIZI",
"IIIIIIZIIZ",
"ZIIIIIIIIZ",
"IIIIIIIIZZ",
"IIZIIIIIIZ",
"IIIIIZZIII",
"ZIIIIZIIII",
"IIIIIZIIZI",
"IIZIIZIIII",
"IIIIIZIIIZ",
"IIIZIIZIII",
"ZIIZIIIIII",
"IIIZIIIIZI",
"IIZZIIIIII",
"IIIZIIIIIZ"... | [
0.19047619047619047,
0.08333333333333333,
0.08333333333333333,
0.10714285714285714,
0.15714285714285714,
0.2,
0.10714285714285714,
0.15714285714285714,
0.03333333333333333,
0.10714285714285715,
0.023809523809523808,
0.023809523809523808,
0.11666666666666667,
0.14047619047619048,
0.057142... | 0.972206 | [
1.4701608657293685,
1.4507877112383931,
-0.9489575883071594,
0.861870214542924,
-0.6347267087067568,
1.1149775204419856,
0.42349465148940146,
-0.43105183435804245,
0.8699855585442786,
0.5429935712532432,
-0.6283737028801514,
0.4515725574203424,
0.1993944269273603,
-0.6462827037457636,
0.... | {
"n_parameters": 54,
"n_qubits": 10,
"optimal_eigenvalue": -2.540476190476191,
"target_ratio": 0.97,
"target_value": -2.4642619047619054
} | 1 |
549ddf61b33c747b7d039a2118793eec | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "ta... | {"states": [7, 119], "expectation_value": -10.719163541972383, "params": null, "bitstrings": ["1111000", "0001000"], "total_optimization_steps": 63, "probabilities": [0.12382383451576646, 0.6265229817388023], "optimization_time": 47.68209624290466} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + -0.5 * Z(3) | 5 | 7 | 1 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["0001000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(0.06616974502287365) q[0];
ry(-0.01217220851318944) q[1];
ry(0.043602881688537334) q[2];
ry(-2.0733318929166966) q[3];
ry(0.14013504785004716) q[4];
ry(-0.0047168065748929245) q[5];
ry(0.0034084174370931824) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3],... | null | {"node": 4} | {"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];\ncry(1.5681) q[5], 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]... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IZZIIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIZIIII",
"ZIIIIII",
"IIIZIII"
] | [
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.971722 | [
0.06616974502287365,
-0.01217220851318944,
0.043602881688537334,
-2.0733318929166966,
0.14013504785004716,
-0.0047168065748929245,
0.0034084174370931824,
3.2375834599948186,
0.014423834630379575,
-0.07832767106901686,
-0.04434139838083944,
-0.09502719019849129
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 14 |
6f8c6ff9996b89cfcf990ffd7b6839cc | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [0, 191], "expectation_value": -16.0254384191426, "params": [-0.0038, 0.7465, 0.0001, 0.8105, -0.0039000000000000003, 0.7227, -0.0026000000000000003, 0.3667, -0.5189, 0.5788, 0.0717, 0.5948, 0.0039000000000000003, 0.6242, 0.0033, 0.8005, -0.521, 0.7661, 0.44320000000000004, 0.8744000000000001, -0.27, 1.0275,... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(9)) + 1.0 * (Z(2) @ Z(9)) + -2.0 * (Z(2) @ Z(7)) + -2.0 * (Z(8) @ Z(9)) + 1.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(2)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(3) + 0.5 * ... | 6 | 10 | 4 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["1101000000"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.01801071332341883) q[0];
rz(1.8498505632002704) q[0];
rx(0.0923282930021966) q[1];
rz(2.779403183210836) q[1];
rx(-0.9488708224962118) q[2];
rz(2.5858790702443635) q[2];
rx(-0.05891790588806183) q[3];
rz(2.3077944112704394) q[3];
rx(-0.8055219949925988) q[4];
rz(... | 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": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIZIZIIII",
"ZIZIIIIIII",
"ZIIIIIIZII",
"IIZIIIIZII",
"ZZIIIIIIII",
"IZZIIIIIII",
"IZIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII",
"ZIIIIIIIII",
"IIZIIIIIII"... | [
-2,
-2,
1,
-1.5,
0.5,
-1.5,
-2,
1,
-2,
-2,
1,
-2,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.939419 | [
-0.018010713323418828,
0.2790542364053733,
0.0923282930021966,
1.2086068564159393,
-0.9488708224962119,
1.0150827434494665,
-0.05891790588806183,
0.7369980844755415,
-0.8055219949925988,
1.5363273511796518,
-0.014484248344069073,
1.283563498335998,
-0.7814140888508997,
1.1826500323417923,
... | {
"n_parameters": 194,
"n_qubits": 10,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 500 |
fb354d60453679d679afcbc2ef259e36 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 3}, {"weight": 20, "source": 1, "target": 3}, {"weight": 19, "source": 1, "target": 2}, {"weight": 5... | {"states": [246, 118], "expectation_value": -29.64259766089709, "params": [[-0.0323, -0.0044, 0.0119], [0.07400000000000001, 0.0757, 0.0679]], "bitstrings": ["00001001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.015712751107682988, 0.019024065672154644], "optimization_time": 5.983407974243164} | 3.5 * (Z(0) @ 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(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(7) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-73.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 150.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.771457845796399) q[0];
rz(0.20583293908457456) q[0];
rx(0.9226641717609871) q[1];
rz(0.16372671104574926) q[1];
cx q[1], q[0];
rz(-0.04382293817596074) q[0];
cx q[1], q[0];
rx(0.7533216915569005) q[0];
rz(0.05206125349230284) q[0];
rz(0.06315738960408568) q[1];
rx(... | 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",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIZII",
"IIIZZIII",
"IIZIIZII",
"IIZZIIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
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,
16,
7,
16.5,
20.5,
13,
10.5,
13.5,
1
] | 0.97422 | [
0.7714578457963991,
0.16201000090861373,
0.9226641717609871,
0.16372671104574926,
1.1584520372173939,
-0.006876482614402969,
0.0444164020346387,
0.25393271130854,
-0.047803904028318286,
-0.03324698493440209,
-0.03689418107124742,
0.10406937110530717,
0.643156446848987,
0.15964110472260815,... | {
"n_parameters": 88,
"n_qubits": 8,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 13 |
895974593365e608cc08f871d8d28aac | 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": 0, "target": 4}, {"source": 1, "target": 2},... | {"states": [2047, 2039], "expectation_value": -24.036825978716262, "params": [[[0.0024000000000000002, 3.1595], [0.002, 0.0023], [-0.0032, 0.0025], [0.002, 0.0026000000000000003], [0.0032, 0.0026000000000000003], [-0.0018000000000000002, -0.0027], [0.0027, 0.0022], [-1.6471, 0.003], [0.0023, 0.0029000000000000002], [0.... | -2.5 * (Z(0) @ Z(1)) + -2.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + -2.0 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(8) @ Z(9)) + 0.5 * (Z(2) @ Z(9)) + -2.5 * (Z(2) @ Z(8)) + -2.0 * (Z(3) @ Z(9)) + -2.5 * (Z(3) @ Z(8)) + 1.0... | 15 | 11 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.5, "smallest_bitstrings": ["00000001000"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.013990227111051377) q[0];
ry(0.003295671773552734) q[1];
ry(-0.1437076378142288) q[2];
ry(0.003295671773552734) q[3];
ry(-0.020933330077146747) q[4];
ry(-0.11715328524793721) q[5];
ry(-0.06214711082373966) q[6];
ry(-1.7795994274112195) q[7];
ry(-0.0107373710873648... | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIZIIIIZI",
"IIIIZIIIIIZ",
"IIIIZIZIIII",
"IIIIIZIIIZI",
"IIIIIZIIIIZ",
"IIIIIZZIIII",
"IZZIIIIIIII",
"IZIIIIIIZII",
"IIZIIIIIZII",
"IZIIIIIZIII",
"IIZIIIIZIII",
"IIIIIIIZZII",
"ZZIIIIIIIII",
"ZIZIIIIIIII",
"ZIIIIIIIZII",
"ZIIIIIIZI... | [
-2.5,
-2,
-2,
0.5,
-2,
0.5,
-2,
0.5,
0.5,
-2,
0.5,
-2.5,
-2,
-2.5,
1,
0.5,
1,
-2,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970029 | [
0.013990227111051377,
0.003295671773552734,
-0.1437076378142288,
-0.020933330077146747,
-0.11715328524793721,
-0.06214711082373966,
-1.7795994274112195,
-0.01073737108736485,
-0.0992294206722561,
3.1209852451096176,
-0.06322728868556342,
0.03868086147896875,
0.002193497148916826,
-0.134250... | {
"n_parameters": 17,
"n_qubits": 11,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 2 |
b5e203e63ec3496219a24352650f6c69 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 5}, {"weight": 15, "source": 1, "target": 5}, {"weight": 16, "source": 1, "target": 3}, {... | {"states": [250, 122], "expectation_value": -70.77529431613604, "params": [0.7392000000000001, -0.4123, 1.5855000000000001, -0.0109, 1.584, 0.0025, 1.5862, 0.0027, 1.5863, -0.26630000000000004, 0.2577, -0.6501, 1.5824, -0.21250000000000002, 0.7842, -0.47790000000000005, 0.7407, 0.0023, 1.5785, 0.006200000000000001, 1.5... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 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(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) ... | 18 | 8 | 2 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 176.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.009690584669794472) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.009690584669794472) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.009690584669794472) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.009690584669794472) q[3];
cx 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": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIZII",
"IZIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11.5,
10.5,
20,
22,
19.5,
2,
15,
11.5
] | 0.8875 | [
0.009690584669794472,
1.0644495968180745,
-0.37734491307153717,
1.193186640419008,
1.9579187082258482,
1.4566571941238642,
-0.6535126455651429,
1.515482843275194,
0.000008576733867442173,
-0.04239820967421715,
0.6952275252522051,
-0.9506548249804723,
0.8765199536298071,
-0.3900921718370591... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 500 |
aba1bd0490555356df462887ed55ae68 | 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": 7}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [222, 206], "expectation_value": -3.5457629760635503, "params": [0.39680000000000004, 0.0066, 0.40190000000000003, -0.0006000000000000001, -0.0211, 0.20980000000000001, 0.38780000000000003, 0.10690000000000001, 0.3982, 0.0009000000000000001, 0.39990000000000003, -0.0026000000000000003, 0.40280000000000005, 0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + -2.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(7) + 0.0 * Z(1) + -0.5 * Z(4) + 0.0 * Z(5) + 0.0 ... | 3 | 8 | 4 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["10100001", "00110001"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.16097558906120518) q[0];
rz(-0.3882081880496635) q[0];
rx(0.8308200587921581) q[1];
rz(-0.10811032912299412) q[1];
rx(-0.04776576243992997) q[2];
rz(0.3764645387441199) q[2];
rx(0.7257629908626431) q[3];
rz(-0.012914102564212104) q[3];
rx(0.8103625676281699) 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": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"ZIIIIIIZ",
"ZIIIZIII",
"IIIIIZZI",
"IIIZIZII",
"ZIIZIIII",
"IIZIIZII",
"IZIIIZII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-1,
-1,
-1,
0,
-0.5,
0,
0
] | 0.971553 | [
-0.16097558906120518,
-0.4046351791206107,
0.830820058792158,
0.05338795809098237,
-0.04776576243992997,
0.3369651978559837,
0.7257629908626431,
-0.07888825176439947,
0.8103625676281699,
-0.11788029644897588,
0.8021836343430493,
0.1199196074239283,
0.8176685948019465,
-0.08200274719195605,... | {
"n_parameters": 85,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 25 |
c196f6ccfe3c25253f54e5e06b84f3b8 | community_detection | 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": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [43607, 43605], "expectation_value": -1.6683321756272047, "params": [[1.4858, 0.19770000000000001, 1.5717, 0.17980000000000002, 1.5873000000000002, 0.27040000000000003, 1.6658000000000002, 1.5424, 0.2162, 1.5464, 0.27590000000000003, 1.6054000000000002, 0.25720000000000004, 1.5526, 0.26330000000000003, 0.258... | 0.25 * (Z(0) @ Z(1)) + 0.00026041666666666666 * (Z(2) @ Z(0)) + 0.00026041666666666666 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006944444444444446 * (Z(4) @ Z(0)) + -0.0005208333333333333 * (Z(4) @ Z(2)) + -0.0006944444444444446 * (Z(5) @ Z(1)) + -0.0005208333333333333 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 10 | 16 | 1 | {"smallest_eigenvalues": [-2.020138888888864], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0201388888888037, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.013888888888871} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(0.6087726243435807) q[0];
ry(0.11082621743002809) q[1];
ry(1.0733287580744895) q[2];
ry(-0.1163723614726779) q[3];
ry(0.7091191673194321) q[4];
ry(0.07396271209666107) q[5];
ry(2.319711973300919) q[6];
ry(1.6497993399460364) q[7];
ry(-0.20726565446981038) q[8];
ry(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[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
0.00026041666666666666,
0.00026041666666666666,
0.25,
-0.0006944444444444446,
-0.0005208333333333333,
-0.0006944444444444446,
-0.0005208333333333333,
0.25,
-0.00078125,
-0.0006510416666666666,
-0.0005208333333333333,
-0.00078125,
-0.0006510416666666666,
-0.0005208333333333333,
0.... | 0.973075 | [
0.6087726243435807,
0.11082621743002809,
1.0733287580744895,
-0.1163723614726779,
0.7091191673194321,
0.07396271209666107,
2.319711973300919,
1.6497993399460364,
-0.20726565446981038,
1.6064486428300453,
-0.07367029837453902,
1.8628578875602981,
0.04839711629171106,
0.5713285961982353,
-... | {
"n_parameters": 31,
"n_qubits": 16,
"optimal_eigenvalue": -2.020138888888864,
"target_ratio": 0.97,
"target_value": -1.9595347222221982
} | 42 |
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