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 128 2.57k | circuit_with_params stringlengths 106 17.5k | circuit_with_symbols stringlengths 146 19.5k ⌀ | problem_specific_attributes stringclasses 116
values | adaptive_process stringlengths 33 186k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
8686974921634681066 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 5], [0, 4, 5, 7], [8, 1, 4], [2, 6, 7], [3, 4]]} | {"states": [220, 476], "expectation_value": -1.8758265721606147, "params": [[[1.5917000000000001, -0.9869, 0.0041, 0.0068000000000000005], [0.0027, 0.9873000000000001, 0.0027, 0.0012000000000000001], [1.5736, -0.0022, 1.5678, 0.006900000000000001], [1.5689000000000002, 0.0027, 1.5771000000000002, 0.0006000000000000001]... | 0.5 * (Z(8) @ Z(5)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.08333333333333333 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(5)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(... | 11 | 9 | 1 | {"smallest_eigenvalues": [-1.9166666666666672], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9166666666666667, "smallest_bitstrings": ["000100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(1.5917) q[0];
rz(-0.9869) q[0];
ry(0.0027) q[1];
rz(0.9873) q[1];
ry(1.5736) q[2];
rz(-0.0022) q[2];
ry(1.5689) q[3];
rz(0.0027) q[3];
ry(1.5738) q[4];
rz(0.0028) q[4];
ry(0.0026) q[5];
rz(1.0724) q[5];
ry(1.5735) q[6];
rz(0.0022) q[6];
ry(0.0031) q[7];
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": []} |
05d141b5ffa8b0efeb584dec24db300e | 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": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [124, 126], "expectation_value": -10.083076029740829, "params": null, "bitstrings": ["0000011", "0000001"], "total_optimization_steps": 83, "probabilities": [0.1230626895642542, 0.3327174656255459], "optimization_time": 108.35888290405273} | -2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(4)) + 1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(5)) + 0.... | 5 | 7 | 1 | {"smallest_eigenvalues": [-27.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.0, "smallest_bitstrings": ["0000001"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
cry(1.5708) q[5], q[0];
cry(1.57) q[0], q[2];
cry(0.3818) q[0], q[4];
cry(0.01) q[2], q[5];
ry(-0.205) q[5];
cry(0.205) q[0], q[5];
cry(0.1059) q[2], q[4];
cry(0.2726) q[4], q[5];
cry(-0.0387) q[5], q[4];... | null | {"node": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.5708) q[5], 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]... |
-7234343710640476918 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2, 3, 5, 6], [0, 5], [0, 3, 6], [4, 5], [0, 1, 4], [1, 4, 6], [3, 4]]} | {"states": [43, 85], "expectation_value": -0.05839697182468128, "params": [[-0.0695], [0.0736]], "bitstrings": ["1010100", "0101010"], "total_optimization_steps": 10, "probabilities": [0.008501792790065982, 0.008556049309947808], "optimization_time": 2.1631901264190674} | 0.05 * (Z(1) @ Z(2)) + 0.05 * (Z(3) @ Z(2)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(5) @ Z(2)) + 0.05 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(6) @ Z(2)) + 0.21666666666666667 * (Z(6) @ Z(1)) + 0.21666666666666667 * (Z(6) @ Z(3)) + 0.05 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.366666666666666, "smallest_bitstrings": ["0101010"]} | OPENQASM 3.0;
include "stdgates.inc";
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[1];
rz(-0.007) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.007) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.007) q[3];
cx q[1], q[3];
cx q[2], q[5];
rz(-0.007) q[5];
cx q[2], q[5];
cx q[1], q[5];
r... | 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[1];
rz(x0) q[... | null | {"circuits": [], "gradients": []} |
b4844a241e7c75ea7eb690acd3c4c004 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [1, 2], "expectation_value": -0.10741910432601344, "params": [[-0.0257, -0.028900000000000002, -0.0339, -0.0611], [0.0234, 0.0245, 0.030600000000000002, 0.0538]], "bitstrings": ["110", "101"], "total_optimization_steps": 10, "probabilities": [0.1345500651817636, 0.13455006518176366], "optimization_time": 2.6... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) | 1 | 3 | 4 | {"smallest_eigenvalues": [-1.0, -1.0, -1.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": 0.0, "smallest_bitstrings": ["110", "101", "011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(-0.0257) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0257) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0257) q[2];
cx q[0], q[2];
rz(0.0257) q[1];
rz(0.0257) q[0];
rz(0.0257) q[2];
h q[0];
rz(0.0468) q[0];
h q[0];
h q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
fa12f3a697c97a90a7d75ad197dde7b9 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 5}]} | {"states": [22, 21], "expectation_value": -2.9965156550505325, "params": null, "bitstrings": ["101001", "101010"], "total_optimization_steps": 18, "probabilities": [0.06700924257653981, 0.9297458928351173], "optimization_time": 12.436173439025879} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["001110", "101001", "101010", "110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[2];
ry(-1.4449) q[0];
ry(1.4449) q[1];
ry(1.4417) q[3];
cry(-1.0398) q[5], q[4];
ry(0.7022) q[5];
ry(-0.4578) q[4];
cry(0.497) q[1], q[5];
cry(-0.3761) q[1], q[4];
cry(0.2474) q[3], q[5];
cry(-0.146... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
238da0afcff22b3cc95b712a7ad70447 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [371, 237], "expectation_value": -0.015013323770784046, "params": [[0.0097, -0.033600000000000005, 0.0329], [-0.0335, 0.0302, -0.0188]], "bitstrings": ["010001100", "100010010"], "total_optimization_steps": 10, "probabilities": [0.002025072056900213, 0.002025072056900214], "optimization_time": 14.06867766380... | 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(4... | 1 | 9 | 3 | {"smallest_eigenvalues": [-3.375, -3.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.375, "smallest_bitstrings": ["100010010", "010001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.0024) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0024) q[0];
cx q[2], q[0];
cx q[3], q[0];
rz(0.0024) q[0];
cx q[3], q[0];
cx q[2], q[1];
rz(0.0024) q[1];
cx q[2], q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} |
aff16494716409c93ae0c6b924acb428 | 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": 6, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 7, "source": 1, "target": 2... | {"states": [33, 1], "expectation_value": -2.432761878207023, "params": [[-0.0523, -0.0776], [0.0625, 0.07060000000000001]], "bitstrings": ["1011110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.01653219043257204, 0.019958444530583704], "optimization_time": 2.596605062484741} | -1.5 * (Z(0) @ Z(3)) + -1.25 * (Z(5) @ Z(0)) + 3.0 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -2.0 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -1.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -2.25 * Z(3) + -0.25 * Z(0) + 0.75 * Z(5) + 3.0 * Z(6) + 1.25 * Z(1) + -2.5 * Z(2) + 0... | 1 | 7 | 2 | {"smallest_eigenvalues": [-17.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(0.1569) q[0];
cx q[3], q[0];
cx q[0], q[5];
rz(0.1308) q[5];
cx q[0], q[5];
cx q[0], q[6];
rz(-0.3138) q[6];
cx q[0], q[6];
cx q[5], q[1];
rz(0.0261) q[1];
cx q[5], q[1];
cx q[3], 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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
7203b0dd22c47919131561d597fd7a8a | 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": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "s... | {"states": [17, 1], "expectation_value": -2.0890862870390112, "params": [[-0.051800000000000006, -0.0618, -0.0408], [0.046, 0.06470000000000001, 0.0637]], "bitstrings": ["111101110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.00569263528957234, 0.006376820939199405], "optimization_time": 5.108850... | -1.0 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(0)) + 2.25 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -1.0 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z... | 1 | 9 | 3 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.5, "smallest_bitstrings": ["111111110", "111101110"]} | OPENQASM 3.0;
include "stdgates.inc";
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(0.1036) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.0259) q[3];
cx q[0], q[3];
cx q[2], q[6];
rz(0.0259) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(0.0777) q[6];
cx q[0], q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
f6cdf6caae833c575489bb2b7a623058 | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [99, 106], "expectation_value": -4.4998837594657655, "params": null, "bitstrings": ["0011100", "0010101"], "total_optimization_steps": 31, "probabilities": [1.641381075984253e-05, 0.9999151790540868], "optimization_time": 25.113107919692993} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(1) + 0.0 * Z(5) + 0.0 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0010101"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(-1.5681) q[2];
ry(-1.5681) q[4];
ry(-1.4449) q[6];
ry(1.4449) q[5];
ry(1.4449) q[1];
ry(1.4417) q[3];
ry(1.4417) q[0];
cry(-0.1259) q[3], q[6];
cry(0.1218) q[5], q[0];
cry(0.1216) q[0], q[3];
cry(0.118... | 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(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
ec174129426dc2a5488500e208d8ad31 | 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": 4, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "s... | {"states": [33, 1], "expectation_value": -0.6693685351760599, "params": [[-0.0528], [0.0684]], "bitstrings": ["111011110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0027407938421776523, 0.0027583235572541413], "optimization_time": 7.019917964935303} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(5)) + -1.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -1.25 * (Z(3) @ Z(4)) + 2.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -1.0 * (Z(8) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-14.75, -14.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.75, "smallest_bitstrings": ["111011110", "111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.1056) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.1584) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.1056) q[4];
cx q[0], q[4];
cx q[0], q[6];
rz(0.0528) q[6];
cx q[0], q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
08b0cbf4dac1f991b95c2f432664a22c | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 6}, {"weight": 1, "source": 1, "target... | {"states": [21926, 21930], "expectation_value": -1.7176861241006303, "params": null, "bitstrings": ["1010101001011001", "1010101001010101"], "total_optimization_steps": 100, "probabilities": [0.12507748770690183, 0.2731739997139966], "optimization_time": 971.5289618968964} | 0.25 * (Z(0) @ Z(1)) + -0.0008749999999999999 * (Z(2) @ Z(0)) + -0.0008749999999999999 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.000375 * (Z(4) @ Z(0)) + -0.0010000000000000002 * (Z(4) @ Z(2)) + 0.000375 * (Z(5) @ Z(1)) + -0.0010000000000000002 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0008749999999999999 * (Z(6) @ ... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.022999999999947], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0229999999998913, "smallest_bitstrings": ["1010101001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cry(-0.5938) q[10], q[11];
cry(-0.5942) q[12], q[13];
cry(-0.5946) q[14], q[15];
cry(-0.5938) q[1], q[0];
cry(-0.5937) q[7],... | null | {"communities_size": 4, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncry(-0.5938) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure ... |
e1ee122704659894b3696f576081a2cf | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 2}, {"weight": 13, "source": 1, "target": 6}, {"weight": 7, "source": 2, "targ... | {"states": [217, 218], "expectation_value": -42.26491461623393, "params": null, "bitstrings": ["100100110", "100100101"], "total_optimization_steps": 100, "probabilities": [0.1663030096086743, 0.18861779229297382], "optimization_time": 191.45517539978027} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 14.5 * Z(1) + 3.0 * Z(0) + 11.0 * ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(-23.4164) q[4];
ry(-22.6958) q[7];
cry(-11.1263) q[4], q[7];
ry(27.554) q[2];
cry(-61.8995) q[4], q[2];
ry(3.2544) q[8];
cry(-25.6677) q[4], q[8];
ry(5.6979) q[1];
cry(-2.7186) q[4], q[... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-23.4164) 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];\nc[6] =... |
c342bef2de813f1345cbd4fd6b87e999 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 7, "source": 0, "target": 1}, {"capacity": 7, "source": 0, "target": 2}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 5, "source": 0, ... | {"states": [27, 1], "expectation_value": -5.963677267374528, "params": [[0.0655, 0.054900000000000004, 0.007500000000000001], [-0.0697, -0.0548, -0.0323]], "bitstrings": ["11100100", "11111110"], "total_optimization_steps": 10, "probabilities": [0.013655160388527151, 0.01808551578865203], "optimization_time": 4.4467897... | -1.75 * (Z(0) @ Z(1)) + -3.25 * (Z(2) @ Z(1)) + -1.75 * (Z(2) @ Z(0)) + -1.5 * (Z(4) @ Z(1)) + -1.75 * (Z(4) @ Z(0)) + 5.5 * (Z(7) @ Z(0)) + -1.5 * (Z(7) @ Z(4)) + -1.75 * (Z(5) @ Z(2)) + -1.75 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(3)) + -2.25 * Z(1) +... | 1 | 8 | 3 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
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(-0.2293) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.4258) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2293) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.1965) q[4];
cx q[1], q[4];
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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
b575860502e0560613ed09a59a899ee7 | 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": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [129, 193], "expectation_value": -13.523337985503977, "params": [-0.0143, -0.3403, 0.00030000000000000003, -0.4116, 0.3854, 0.10650000000000001, 0.3956, 0.0151, 0.2878, 0.0777, 0.27240000000000003, 0.0055000000000000005, 0.012400000000000001, -0.3371, 0.0039000000000000003, -0.37260000000000004, -0.0221, -0.... | -0.75 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(8) @ Z(2)) + 2.25 * (Z(8) @ Z(0)) + -1.25 * (Z(8) @ Z(1)) + -1.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(6)) + -0.25 * (Z(4) ... | 5 | 9 | 4 | {"smallest_eigenvalues": [-13.75, -13.75, -13.75, -13.75, -13.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -12.75, "smallest_bitstrings": ["100101000", "100100000", "100101100", "100101110", "100111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0143) q[0];
rz(-0.3403) q[0];
rx(0.3854) q[1];
rz(0.1065) q[1];
rx(0.2878) q[2];
rz(0.0777) q[2];
rx(0.0124) q[3];
rz(-0.3371) q[3];
rx(-0.0221) q[4];
rz(-0.2487) q[4];
rx(0.0159) q[5];
rz(-0.3422) q[5];
rx(0.0192) q[6];
rz(-0.3738) q[6];
rx(0.0075) q[7]... | 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": 8} | {"circuits": [], "gradients": []} |
b4764399bb7694871d7cf0cc7a871143 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "so... | {"states": [9, 13], "expectation_value": -9.24999636362305, "params": null, "bitstrings": ["10110", "10010"], "total_optimization_steps": 25, "probabilities": [1.8181884717417974e-06, 0.9999981818115276], "optimization_time": 15.414063930511475} | -1.0 * (Z(0) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(4)) + -1.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(1)) + -3.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(4) + 2.75 * Z(1) + 0.5 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["10010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5709) q[3];
ry(1.5708) q[1];
cry(-1.5706) q[1], q[0];
ry(1.5708) q[4];
cry(1.5681) q[4], q[2];
cry(-0.0002) q[4], q[0];
cry(0.0001) q[4], q[3];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = ... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5709) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
-8124763126179444229 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4, 6], [3, 7], [0, 1], [2, 4], [5, 6]]} | {"states": [154, 139], "expectation_value": -2.2267257434467522, "params": null, "bitstrings": ["01100101", "01110100"], "total_optimization_steps": 60, "probabilities": [0.0569999775191226, 0.7378799277647321], "optimization_time": 75.8145101070404} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.16666666666666663 * Z(4) + 0.16666666666666663 * Z(3) + 0.16666666666666663 * Z(6) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0, "smallest_bitstrings": ["10110100", "01001101", "10100011", "10001101", "01110100", "01100011"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
cry(-1.0342) q[6], q[5];
ry(0.971) q[6];
ry(-0.6611) q[5];
cry(-1.0342) q[4], q[2];
ry(0.7884) q[4];
cry(-1.1075) q[7], q[3];
ry(0.7244) q[7];
cry(-1.0342) q[0], q[1];
ry(0.7003) q[0];
ry(-0.5281)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
d2d6210032a3bac3f87e7e8b6a950d90 | 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": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 4, "s... | {"states": [256, 255], "expectation_value": -0.12684547789358433, "params": [[-0.029500000000000002], [0.0383]], "bitstrings": ["011111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0021744322425682958, 0.0021837378212684667], "optimization_time": 3.210709810256958} | -0.25 * (Z(0) @ Z(3)) + -0.75 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(7)) + -0.75 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(7)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
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[3], q[0];
rz(0.0148) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(0.0443) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(0.0148) q[5];
cx q[0], q[5];
cx q[3], q[7];
rz(0.0148) q[7];
cx q[3], q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
-8312323543400674191 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2, 5, 6], [8, 3, 5], [0, 5, 7], [1, 7], [4, 5]]} | {"states": [79, 110], "expectation_value": -1.0675049738737759, "params": [0.9974000000000001, 0.13720000000000002, 1.0344, 0.0011, 0.5853, 0.4102, 0.5838, 0.0008, 1.2027, -0.0022, 1.1955, 0.006, 1.1945000000000001, -0.3106, 1.082, 0.0036000000000000003, 0.3821, -0.31120000000000003, 0.38330000000000003, 0.004800000000... | 0.08333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666... | 5 | 9 | 1 | {"smallest_eigenvalues": [-1.9166666666666665, -1.9166666666666665, -1.9166666666666665, -1.9166666666666665, -1.9166666666666665], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.916666666666666, "smallest_bitstrings": ["000110110", "001010011", "110010001", "001110010", "000010111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.9974) q[0];
rz(0.1372) q[0];
rx(0.5853) q[1];
rz(0.4102) q[1];
rx(1.2027) q[2];
rz(-0.0022) q[2];
rx(1.1945) q[3];
rz(-0.3106) q[3];
rx(0.3821) q[4];
rz(-0.3112) q[4];
rx(1.2049) q[5];
rz(0.0978) q[5];
rx(1.2027) q[6];
rz(-0.0027) q[6];
rx(1.1889) q[7];
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[... | null | {"circuits": [], "gradients": []} |
18f51c81d01a61d58a5d6da20c55ce9d | 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": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [0, 135], "expectation_value": -25.706888788600395, "params": [0.0002, 0.9462, 0.0005, 1.0757, -0.0024000000000000002, 1.1726, 0.0025, 1.3245, 0.6429, -0.37620000000000003, 0.2929, -0.3801, 0.0018000000000000002, 1.4804000000000002, 0.0026000000000000003, 1.5031, -0.0039000000000000003, 1.2117, 0.0019, 1.357... | -2.5 * (Z(0) @ Z(3)) + -3.5 * (Z(6) @ Z(3)) + -3.0 * (Z(6) @ Z(0)) + -3.5 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(6)) + -2.5 * (Z(4) @ Z(1)) + 1.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(6)) + -3.0 * (Z(5) @ Z(1)) + 1.0... | 6 | 10 | 2 | {"smallest_eigenvalues": [-28.0, -28.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -25.0, "smallest_bitstrings": ["0000000000", "1101111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0002) q[0];
rz(0.9462) q[0];
rx(-0.0024) q[1];
rz(1.1726) q[1];
rx(0.6429) q[2];
rz(-0.3762) q[2];
rx(0.0018) q[3];
rz(1.4804) q[3];
rx(-0.0039) q[4];
rz(1.2117) q[4];
rx(-0.002) q[5];
rz(1.2202) q[5];
rx(0.0034) q[6];
rz(1.4046) q[6];
rx(0.6389) 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[... | {"node": 2} | {"circuits": [], "gradients": []} |
171e704e65359d5a57d8a8e54db87dfb | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 2, ... | {"states": [1, 53], "expectation_value": -2.176298133318236, "params": [[0.15030000000000002], [-0.1434]], "bitstrings": ["11111110", "11001010"], "total_optimization_steps": 20, "probabilities": [0.01044195515808985, 0.010677943657819376], "optimization_time": 2.369255304336548} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(6)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + 1.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(7) @... | 1 | 8 | 1 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["11001010"]} | OPENQASM 3.0;
include "stdgates.inc";
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(-0.1503) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(-0.0752) q[4];
cx q[0], q[4];
cx q[0], q[6];
rz(-0.2255) q[6];
cx q[0], q[6];
cx q[4], q[6];
rz(-0.1503) q[6];
cx q[4], q[6];
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;
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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
1326901385771089487 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 5, 6, 7], [0, 4], [0, 3], [1, 6], [2, 4], [8, 5]]} | {"states": [63, 62], "expectation_value": -0.2228483225468419, "params": [0.6819000000000001, 0.6816, 0.6092000000000001, 0.6108, 0.636, 0.6394000000000001, 0.8901, 0.8580000000000001, 0.8441000000000001, 0.8787, 0.8903000000000001, 0.8891, 0.9048, 0.8966000000000001, 0.9045000000000001, 0.9009, 0.655, 0.6433, 0.6629, ... | 0.08333333333333333 * (Z(0) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(5)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(6)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 ... | 14 | 9 | 1 | {"smallest_eigenvalues": [-2.75, -2.75, -2.75, -2.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.666666666666667, "smallest_bitstrings": ["111000001", "010111000", "000110101", "010110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.6819) q[0];
ry(0.6092) q[1];
ry(0.636) q[2];
ry(0.8901) q[3];
ry(0.8441) q[4];
ry(0.8903) q[5];
ry(0.9048) q[6];
ry(0.9045) q[7];
ry(0.655) q[8];
crx(0.6629) q[8], q[0];
crx(0.8189) q[7], q[8];
crx(0.2129) q[6], q[7];
crx(0.8812) q[5], q[6];
crx(0.7064) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
cc7438f9c3f135fc425e5dafbb725117 | 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": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, ... | {"states": [23, 51], "expectation_value": -4.499105012037314, "params": null, "bitstrings": ["1101000", "1001100"], "total_optimization_steps": 36, "probabilities": [0.06552852227040738, 0.933846672002889], "optimization_time": 37.69747447967529} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -0.5 * Z(1) + -2.0 * Z(0) + 0.0 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1101000", "1001100"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(-1.5708) q[0];
ry(-1.4449) q[3];
ry(1.4449) q[2];
ry(1.4417) q[6];
ry(1.4417) q[5];
cry(-1.0342) q[1], q[4];
ry(0.7003) q[1];
cry(-0.1259) q[6], q[3];
ry(-0.4549) q[4];
cry(0.4963) q[2], q[1];
cry(-0.3... | 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[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", ... |
-8560023897794812040 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2, 4, 5], [0, 2, 3, 5], [1, 4, 6], [2, 4, 6], [0, 2, 4, 5], [0, 5, 6], [0, 1, 2, 4], [0, 4, 6], [1, 2, 3, 6]]} | {"states": [51, 113], "expectation_value": -0.04898838138218878, "params": [[-0.0425], [0.0504]], "bitstrings": ["1001100", "0001110"], "total_optimization_steps": 10, "probabilities": [0.008025915192399095, 0.008048730111724236], "optimization_time": 2.5681352615356445} | 0.25 * (Z(1) @ Z(2)) + 0.41666666666666663 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.25 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.25 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(0) @ Z(4)) + 0.3333333333333333 * (Z(0... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["0001110"]} | OPENQASM 3.0;
include "stdgates.inc";
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[1];
rz(-0.0213) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(-0.0354) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(-0.0283) q[4];
cx q[1], q[4];
cx q[2], q[5];
rz(-0.0213) q[5];
cx q[2], q[5];
cx q[1], 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[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
92527c1e1b76418d857008afc54c7f9c | 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": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 1, "source": ... | {"states": [2048, 2047], "expectation_value": -8.58342289826834, "params": [[[-0.0105, -0.5577], [-0.0014, -0.0425], [-0.0027, -0.0028], [-0.0006000000000000001, -0.0023], [-0.002, -0.0011], [-0.0023, -0.0033], [-0.0017000000000000001, 0.0028], [-0.0034000000000000002, -0.0033], [-0.028800000000000003, 0.00360000000000... | -0.5 * (Z(0) @ Z(6)) + -0.25 * (Z(10) @ Z(0)) + -0.25 * (Z(3) @ Z(6)) + 1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(1) @ Z(10)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(10)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(11) @ Z(10)) + -0.5 * (Z(11) @ Z(4)) + -0.5 * (Z(11) @ Z(5)) + -0.5 * (Z(7) @ Z(6)) + -0.25 * (Z(... | 15 | 12 | 4 | {"smallest_eigenvalues": [-9.0, -9.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.0, "smallest_bitstrings": ["100000000000", "100000110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0105) q[0];
ry(-0.0014) q[1];
ry(-0.0027) q[2];
ry(-0.0006) q[3];
ry(-0.002) q[4];
ry(-0.0023) q[5];
ry(-0.0017) q[6];
ry(-0.0034) q[7];
ry(-0.0288) q[8];
ry(-0.0033) q[9];
ry(-0.4783) q[10];
ry(-0.0515) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
d12f17feef637a9f0fcf357278059b3f | 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": [87, 151], "expectation_value": -28.706642990779027, "params": [[[0.39930000000000004, 0.3648], [0.395, 0.3925], [0.4012, 0.3578], [0.0465, 0.1904], [0.39730000000000004, 0.3962], [0.1721, 0.39690000000000003], [0.38630000000000003, 0.3902], [0.24960000000000002, 0.2788], [0.3962, 0.39840000000000003]], [[0.... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(4) @ Z(6)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(8) @ Z(5)) + 13.0 * Z(1) + -2.0 * Z(0) + 4.5 * Z(2) + 20.0 * Z(6) + 21.0 * Z(4) + 0.5 * Z(3... | 15 | 9 | 4 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.5, "smallest_bitstrings": ["101101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.3993) q[0];
ry(0.395) q[1];
ry(0.4012) q[2];
ry(0.0465) q[3];
ry(0.3973) q[4];
ry(0.1721) q[5];
ry(0.3863) q[6];
ry(0.2496) q[7];
ry(0.3962) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
885062aa0c1a31cf5a193f1a32bffef7 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, ... | {"states": [6890, 6906], "expectation_value": -2.849390700129807, "params": [[[1.2964, 0.0031000000000000003, 0.003, 0.0091], [-0.02, -0.3022, 1.1843000000000001, 0.0097], [0.5823, -0.004, 0.0058000000000000005, -0.0002], [0.4102, 0.0012000000000000001, 1.1452, 0.00030000000000000003], [0.25780000000000003, -0.0027, 0.... | 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)) + 0.0625 * (... | 12 | 13 | 2 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.812... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(1.2964) q[0];
rz(0.0031) q[0];
ry(-0.02) q[1];
rz(-0.3022) q[1];
ry(0.5823) q[2];
rz(-0.004) q[2];
ry(0.4102) q[3];
rz(0.0012) q[3];
ry(0.2578) q[4];
rz(-0.0027) q[4];
ry(0.8039) q[5];
rz(-0.0051) q[5];
ry(-0.5875) q[6];
rz(-0.0006) q[6];
ry(0.3484) 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[... | null | {"circuits": [], "gradients": []} |
ec87bd26481b55f30c2ced0539bb7e3e | 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": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [218, 91], "expectation_value": -14.582759918097354, "params": [[-0.0089, -0.019100000000000002], [0.0189, 0.06810000000000001]], "bitstrings": ["00100101", "10100100"], "total_optimization_steps": 10, "probabilities": [0.006979678214486606, 0.007553420885933143], "optimization_time": 3.2546286582946777} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(0)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(0)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-89.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.5, "smallest_bitstrings": ["10100100"]} | OPENQASM 3.0;
include "stdgates.inc";
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(-0.089) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.089) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(-0.089) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.089) q[3];
cx q[0], 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": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8]}"} | {"circuits": [], "gradients": []} |
-5661878744351023720 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 2, 3, 4, 5, 7, 8, 9, 10], [1, 3, 5, 7, 8, 10], [1, 2, 5, 6, 8, 9, 10], [3, 6, 7, 8, 9], [0, 1, 2, 4, 5, 7], [0, 2, 6, 7, 10], [4, 6], [1, 5, 9, 7], [0, 1, 3, 6, 8, 10], [0, 1, 4, 5, 8, 9, 10], [0, 2, 5, 6]]} | {"states": [1085, 1087], "expectation_value": -2.389063138765786, "params": null, "bitstrings": ["01111000010", "01111000000"], "total_optimization_steps": 73, "probabilities": [0.1313721564875776, 0.7277241608706652], "optimization_time": 3322.521810770035} | 0.18055555555555555 * (Z(0) @ Z(2)) + 0.013888888888888888 * (Z(3) @ Z(2)) + 0.04722222222222222 * (Z(3) @ Z(0)) + 0.04722222222222222 * (Z(4) @ Z(2)) + 0.07103174603174603 * (Z(4) @ Z(0)) + 0.013888888888888888 * (Z(4) @ Z(3)) + 0.15436507936507937 * (Z(5) @ Z(2)) + 0.15436507936507937 * (Z(5) @ Z(0)) + 0.047222222222... | 9 | 11 | 1 | {"smallest_eigenvalues": [-2.447619047619048], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4253968253968257, "smallest_bitstrings": ["01111000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
ry(1.5119) q[5];
ry(1.3148) q[7];
ry(1.1039) q[8];
cry(-0.9452) q[6], q[4];
ry(0.9828) q[6];
cry(-0.6662) q[5], q[4];
cry(0.4233) q[5], q[6];
ry(-0.3184) q[4];
ry(0.5863... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nry(1.5119) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = me... |
a13111755f6f9029d45285fab7768b39 | 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": 4, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 3, "source": ... | {"states": [2048, 2047], "expectation_value": -15.803109125601836, "params": [[[-0.006, 0.4076], [-0.003, 0.0011], [0.0053, -0.0027], [-0.0016, -0.0027], [-0.0009000000000000001, -0.003], [0.002, -0.0025], [0.013900000000000001, -0.0024000000000000002], [-0.0017000000000000001, -0.0025], [-0.0029000000000000002, -0.002... | -1.0 * (Z(0) @ Z(9)) + -0.25 * (Z(1) @ Z(9)) + -1.25 * (Z(4) @ Z(1)) + -1.0 * (Z(7) @ Z(9)) + -1.75 * (Z(7) @ Z(1)) + -0.75 * (Z(8) @ Z(1)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(11) @ Z(9)) + -1.0 * (Z(11) @ Z(1)) + -0.5 * (Z(11) @ Z(4)) + -1.25 * (Z(11) @ Z(8)) + -1.0 * (Z(3) @ Z(9)) + 1.25 * (Z(3) @ Z(0)) + -0.75 * (Z... | 15 | 12 | 4 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.006) q[0];
ry(-0.003) q[1];
ry(0.0053) q[2];
ry(-0.0016) q[3];
ry(-0.0009) q[4];
ry(0.002) q[5];
ry(0.0139) q[6];
ry(-0.0017) q[7];
ry(-0.0029) q[8];
ry(-0.0025) q[9];
ry(-0.468) q[10];
ry(-0.002) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];... | 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": 11} | {"circuits": [], "gradients": []} |
b092771ce61a8acd6559293acbdc236f | 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}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2},... | {"states": [2041, 2047], "expectation_value": -21.98338876546033, "params": null, "bitstrings": ["00000000110", "00000000000"], "total_optimization_steps": 100, "probabilities": [0.04981509770531454, 0.40881222729588523], "optimization_time": 323.75212931632996} | -2.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + -3.0 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + -3.0 * (Z(7) @ Z(0)) + 1.5 * (Z(7) @ Z(6)) + -2.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(0)) + -3.5 * (Z(4) @ Z(6)) + -3.5 * (Z(4) @ Z(7)) + -3.0 *... | 1 | 11 | 1 | {"smallest_eigenvalues": [-32.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.5, "smallest_bitstrings": ["00000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cry(1.5708) q[7], q[4];
ry(1.0079) q[7];
cry(1.5708) q[6], q[0];
ry(1.1) q[6];
cry(1.5709) q[6], q[3];
cry(1.5697) q[3], q[5];
cry(1.5702) q[4], q[1];
ry(0.293) q[4];
cr... | null | {"node": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[7], 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[... |
3f15d8a3a52bb3495503dcce203eb5e8 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, ... | {"states": [112, 114], "expectation_value": -1.9882298052642575, "params": [0.0041, 0.004200000000000001, 0.40140000000000003, 0.40790000000000004, 0.3992, 0.4063, 0.40180000000000005, 0.4055, 0.004200000000000001, 0.0005, -0.0016, 0.0059, 0.40040000000000003, 0.3987, 0.2797, 0.272, -0.0022, 0.00030000000000000003, 0.3... | 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)) + 0.25 * (Z(... | 14 | 8 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["10001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.0041) q[0];
ry(0.4014) q[1];
ry(0.3992) q[2];
ry(0.4018) q[3];
ry(0.0042) q[4];
ry(-0.0016) q[5];
ry(0.4004) q[6];
ry(0.2797) q[7];
crx(0.0029) q[7], q[0];
crx(0.0398) q[6], q[7];
crx(0.261) q[5], q[6];
crx(-0.2223) q[4], q[5];
crx(-0.0003) q[3], q[4];
cr... | 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": []} |
811970c75ac4239e32fdc1a2884504a0 | 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": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [84, 116], "expectation_value": -4.613819914798599, "params": [[[-0.0041, -0.5206000000000001, 0.0012000000000000001, 0.0081], [0.5588000000000001, -0.007500000000000001, 0.5652, 0.005200000000000001], [-0.1884, 0.005, 0.0078000000000000005, 0.0043], [0.6425000000000001, 0.0082, 0.6451, 0.0046], [-0.0037, 0.... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(2) + -0.5 * Z(0) + -0.5 * Z(5) + -1.0 * Z(4) + -1.0 * Z(1) + -1.0 * Z(6) + -1.0 * Z(7) + 0.... | 12 | 8 | 4 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["10001011", "01101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.0041) q[0];
rz(-0.5206) q[0];
ry(0.5588) q[1];
rz(-0.0075) q[1];
ry(-0.1884) q[2];
rz(0.005) q[2];
ry(0.6425) q[3];
rz(0.0082) q[3];
ry(-0.0037) q[4];
rz(0.0121) q[4];
ry(0.2597) q[5];
rz(0.0072) q[5];
ry(-0.003) q[6];
rz(-0.2615) q[6];
ry(-0.0039) 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[... | null | {"circuits": [], "gradients": []} |
bb51b85a8f0cca1e878093cb2d4e9f25 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 4}, {"weight": 13, "source": 0, "target": 5}, {"weight": 13, "source": 0, "target": 3}, {"weight": 9... | {"states": [190, 118], "expectation_value": -24.50323655365925, "params": [[-0.0349, -0.0048000000000000004], [0.0748, 0.06810000000000001]], "bitstrings": ["01000001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.011688516109594064, 0.013224008798846157], "optimization_time": 5.706830739974976} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(5) @ Z(1)) + 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(6) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
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(-0.2443) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2443) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2443) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2443) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
16fd100f275204704241463c8dae53bc | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"sour... | {"states": [322, 450], "expectation_value": -5.607138208764647, "params": [0.8106, -0.0022, 0.8036000000000001, 0.0056, 0.8042, 0.0007, 0.8041, 0.0083, 0.8054, 0.00030000000000000003, 0.8067000000000001, 0.0039000000000000003, 0.38230000000000003, 0.0002, 0.2467, 0.009600000000000001, 0.1698, -0.0017000000000000001, 0.... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["000111101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.8106) q[0];
rz(-0.0022) q[0];
rx(0.8042) q[1];
rz(0.0007) q[1];
rx(0.8054) q[2];
rz(0.0003) q[2];
rx(0.3823) q[3];
rz(0.0002) q[3];
rx(0.1698) q[4];
rz(-0.0017) q[4];
rx(0.2366) q[5];
rz(0.0062) q[5];
rx(0.6242) q[6];
rz(0.0027) q[6];
rx(0.8041) q[7];
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": []} |
7d8c120b950f82240c2b01ae7c753ace | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 5, "s... | {"states": [256, 255], "expectation_value": -8.840358986687587, "params": [[[0.0013000000000000002, 0.49810000000000004], [-0.0028, -0.0005], [-0.0045000000000000005, -0.0022], [-0.0025, 0.0022], [-0.0026000000000000003, -0.0023], [-0.0024000000000000002, -0.0026000000000000003], [-0.0023, -0.0021000000000000003], [0.0... | -0.25 * (Z(0) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.75 * (Z(4) @ Z(1)) + -1.25 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + -1.75 * (Z(7) @ Z(4)) + -0.25 * (Z(7) @ Z(5)) + -1.25 * (Z(2) @ Z(8)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(3)... | 15 | 9 | 2 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.5, "smallest_bitstrings": ["100000000", "100001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0013) q[0];
ry(-0.0028) q[1];
ry(-0.0045) q[2];
ry(-0.0025) q[3];
ry(-0.0026) q[4];
ry(-0.0024) q[5];
ry(-0.0023) q[6];
ry(0.0026) q[7];
ry(1.8417) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], 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": []} |
629064d27778679294f16fb68c627d78 | 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": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [91, 127], "expectation_value": -1.499926065581607, "params": [[-0.0083, -0.0024000000000000002, -0.0, 0.7739, 0.7775000000000001, -0.0024000000000000002, 0.0022, -0.0019], [-0.0028, -0.0045000000000000005, -0.0022, 1.4037000000000002, 1.6855, -0.0024000000000000002, -0.0022, 0.0021000000000000003], [0.92080... | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ ... | 9 | 8 | 4 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.75, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(-0.0083) q[0];
rx(-0.0024) q[1];
rx(0) q[2];
rx(0.7739) q[3];
rx(0.7775) q[4];
rx(-0.002... | 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": []} |
344135135277386308 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 2], [8, 5], [0, 2], [9, 2], [9, 3, 5], [8, 1], [2, 6, 7], [8, 6], [8, 0], [9, 5, 6], [1, 5, 7], [0, 1, 7], [1, 2, 4], [9, 5, 7], [0, 9, 5], [9, 3, 6], [0, 1, 6], [2, 5], [8, 9, 4], [9, 4, 5], [1, 3, 9], [2, 3], [4, 5, 6], [0, 9, 6], [0, 3]]} | {"states": [829, 825], "expectation_value": -3.9608600419680844, "params": [1.3903, 1.3936000000000002, 1.3737000000000001, 1.3932, 0.1968, 0.2, 0.5409, 0.5142, 1.3883, 1.3826, 1.3654000000000002, 1.3900000000000001, 1.3948, 1.3929, 0.6957, 0.9986, 0.2822, 0.18710000000000002, 1.3960000000000001, 1.3895, 1.389800000000... | 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(8)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.5 * (Z(9) @ Z(2)) + 0.16666666666666666 * (Z(9) @ Z(8)) + 0.8333333333333333 * (Z(9) @ Z(5)) + 0.3333333333333333 * (Z(9) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666... | 14 | 10 | 1 | {"smallest_eigenvalues": [-5.666666666666666, -5.666666666666666], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.333333333333334, "smallest_bitstrings": ["0011000110", "0011100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.3903) q[0];
ry(1.3737) q[1];
ry(0.1968) q[2];
ry(0.5409) q[3];
ry(1.3883) q[4];
ry(1.3654) q[5];
ry(1.3948) q[6];
ry(0.6957) q[7];
ry(0.2822) q[8];
ry(1.396) q[9];
crx(1.3898) q[9], q[0];
crx(0.2067) q[8], q[9];
crx(0.104) q[7], q[8];
crx(0.1113) q[6], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
ea6f28b1d52734982303edc3e4a649bb | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 13, "source": 1, "target": 6}, {"weight": 11, "source": 1, "target": 5}, {"weight": 8, "source": 2, "target": 3}, {"... | {"states": [111, 110], "expectation_value": -53.02659296883926, "params": [0.9064000000000001, 0.0022, 3.1616, 0.0032, 3.1618, 0.0022, 1.385, 0.009000000000000001, 3.1617, 0.0061, 3.1597, 0.001, 3.16, 0.006500000000000001, 1.5664, 0.0036000000000000003, 0.007500000000000001, 0.0061, 0.0032, 0.0004, 0.0063, 0.0096000000... | 4.0 * (Z(0) @ Z(2)) + 4.0 * (Z(1) @ Z(2)) + 4.0 * (Z(1) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 6.5 * Z(2) +... | 18 | 8 | 1 | {"smallest_eigenvalues": [-62.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -56.5, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.9064) q[0];
rz(0.0022) q[0];
rx(3.1616) q[1];
rz(0.0032) q[1];
rx(3.1618) q[2];
rz(0.0022) q[2];
rx(1.385) q[3];
rz(0.009) q[3];
rx(3.1617) q[4];
rz(0.0061) q[4];
rx(3.1597) q[5];
rz(0.001) q[5];
rx(3.16) q[6];
rz(0.0065) q[6];
rx(1.5664) q[7];
rz(0.0036)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
bb51b85a8f0cca1e878093cb2d4e9f25 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [11, 7], "expectation_value": -3.9964640788483465, "params": null, "bitstrings": ["110100", "111000"], "total_optimization_steps": 21, "probabilities": [0.06634840540222475, 0.9303662461102485], "optimization_time": 19.010306119918823} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["111000", "110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[0];
ry(-1.5681) q[1];
ry(1.4449) q[4];
ry(1.4449) q[5];
cry(-1.0343) q[3], q[2];
ry(0.7003) q[3];
ry(-0.4549) q[2];
cry(0.4963) q[5], q[3];
cry(-0.3789) q[5], q[2];
cry(0.2489) q[4], q[3];
cry(-0.14... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
-7926624286391894599 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 4, 6, 7], [0, 2, 4, 7], [3, 6], [1, 2, 4, 6], [0, 4, 6], [0, 1, 2, 3], [0, 2, 4, 5], [0, 1, 6, 7], [3, 5], [2, 4, 5, 7]]} | {"states": [217, 167], "expectation_value": -0.05734623544005918, "params": [[0.0603], [-0.047400000000000005]], "bitstrings": ["00100110", "01011000"], "total_optimization_steps": 10, "probabilities": [0.004109625308556717, 0.004109658580247354], "optimization_time": 3.1549503803253174} | 0.16666666666666666 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(6) @ Z(4)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.3333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333333, "smallest_bitstrings": ["01011000"]} | OPENQASM 3.0;
include "stdgates.inc";
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[4], q[1];
rz(0.0201) q[1];
cx q[4], q[1];
cx q[4], q[6];
rz(0.0402) q[6];
cx q[4], q[6];
cx q[1], q[6];
rz(0.0301) q[6];
cx q[1], q[6];
cx q[4], q[7];
rz(0.0301) q[7];
cx q[4], q[7];
cx q[1],... | 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[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
784b63cb47166297c17994d134c1de86 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 2, "ta... | {"states": [104, 105], "expectation_value": -5.154583774469981, "params": [-0.0008, -0.4647, 0.7977000000000001, -0.0046, 0.7966000000000001, 0.007500000000000001, -0.0032, 0.49210000000000004, 0.808, 0.0148, 0.42800000000000005, 0.14600000000000002, 0.0031000000000000003, 0.5802, 0.6308, 0.2391, -0.0036000000000000003... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(2)) + -2.0 * Z(3) + -1.5 * Z(0) + 0.0 * Z(4) + -1.5 * Z(5) + -... | 3 | 8 | 3 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["10010011", "10010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0008) q[0];
rz(-0.4647) q[0];
rx(0.7977) q[1];
rz(-0.0046) q[1];
rx(0.7966) q[2];
rz(0.0075) q[2];
rx(-0.0032) q[3];
rz(0.4921) q[3];
rx(0.808) q[4];
rz(0.0148) q[4];
rx(0.428) q[5];
rz(0.146) q[5];
rx(0.0031) q[6];
rz(0.5802) q[6];
rx(0.6308) q[7];
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": []} |
1b85dbadf49d5e00f9e47be861e776c4 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [2041, 2009], "expectation_value": -3.1388116933372405, "params": [0.261, 0.2569, 0.6945, 0.6998000000000001, 0.4929, 0.5479, 0.6958000000000001, 0.6913, 0.6945, 0.6890000000000001, 0.6921, 0.6854, 0.2639, 0.26080000000000003, 0.6882, 0.6916, 0.6967, 0.6994, -0.0025, -0.003, 0.0402, 0.0439, 0.6965, 0.6934, 0... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 14 | 12 | 2 | {"smallest_eigenvalues": [-4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -3.0625, "smallest_bitstrings": ["000100100110", "001010100100", "001... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.261) q[0];
ry(0.6945) q[1];
ry(0.4929) q[2];
ry(0.6958) q[3];
ry(0.6945) q[4];
ry(0.6921) q[5];
ry(0.2639) q[6];
ry(0.6882) q[7];
ry(0.6967) q[8];
ry(-0.0025) q[9];
ry(0.0402) q[10];
ry(0.6965) q[11];
crx(0.4886) q[11], q[0];
crx(-0.1062) q[10], q[11];
... | 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": []} |
7bc4dde9a09d0b94c5097b219891d81a | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [48615, 48855], "expectation_value": -13.10168267781046, "params": [[0.1534, 0.1323], [-0.1399, -0.1588]], "bitstrings": ["0100001000011000", "0100000100101000"], "total_optimization_steps": 20, "probabilities": [0.0007793284614129178, 0.0007801394189325729], "optimization_time": 24.1572585105896} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.25 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(... | 1 | 16 | 2 | {"smallest_eigenvalues": [-19.99999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999897, "smallest_bitstrings": ["0100000100101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[3], q[1];
rz(0.1534) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.1534) q[2];
cx q[3], q[2];
cx q[1], q[2];
rz(0.1534) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 0}, {"source": 3, "target": 2}, {"source": 3, "target": 0}, {"source": 2, "target": 0}]}} | {"circuits": [], "gradients": []} |
1900434968305725660 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], "hyperedges": [[0, 5], [9, 10], [0, 11], [9, 7], [9, 11], [10, 5], [0, 10], [8, 12], [2, 5], [13, 5], [2, 11], [3, 7], [1, 6], [10, 11], [0, 6], [3, 13], [11, 4], [10, 12], [8, 9], [5, 7], [1, 11], [9, 3], [8, 1], [12, 7], [10, 13], [1, 3], [1, 4], [0, 4], [11, ... | {"states": [3994, 12389], "expectation_value": -2.336879039638952, "params": [[0.169], [-0.1733]], "bitstrings": ["11000001100101", "00111110011010"], "total_optimization_steps": 20, "probabilities": [0.00028809737117252584, 0.00028809737117252584], "optimization_time": 88.92252278327942} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(10) @ Z(5)) + 0.5 * (Z(10) @ Z(0)) + 0.5 * (Z(9) @ Z(10)) + 0.5 * (Z(11) @ Z(0)) + 0.5 * (Z(11) @ Z(10)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(10)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(12) @ Z(0)) + 0.5... | 1 | 14 | 1 | {"smallest_eigenvalues": [-8.999999999999929], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.999999999999915, "smallest_bitstrings": ["00111110011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
cx q[5], q[0];
rz(0.169) q[0];
cx q[5], q[0];
cx q[5], q[10];
rz(0.169) q[10];
cx q[5], q[10];
cx q[0], q[10];
rz(0.169) q[10];
cx q[0], q[10]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[14] c;
qubit[14] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[5], q[10];
rz(x0) q[10];
cx q[5], ... | null | {"circuits": [], "gradients": []} |
a36f48b36cc963498e0495b319334d7f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"sour... | {"states": [112, 114], "expectation_value": -6.139334721045862, "params": [0.048100000000000004, 0.0548, 0.10550000000000001, 0.1131, 0.5975, 0.5968, 0.5991000000000001, 0.6049, 0.6008, 0.6025, -0.0031000000000000003, 0.0005, -0.0016, -0.006, 0.45470000000000005, 0.4539, -0.0011, -0.0013000000000000002, 0.0520000000000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) ... | 13 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["110001101", "010101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0481) q[0];
ry(0.1055) q[1];
ry(0.5975) q[2];
ry(0.5991) q[3];
ry(0.6008) q[4];
ry(-0.0031) q[5];
ry(-0.0016) q[6];
ry(0.4547) q[7];
ry(-0.0011) q[8];
crz(-0.339) q[8], q[0];
crz(-0.0025) q[7], q[8];
crz(-0.296) q[6], q[7];
crz(0.3434) q[5], q[6];
crz(-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": []} |
d55d504e597705d8581d37ec0d2e41ca | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 1, "target": 6... | {"states": [45, 63], "expectation_value": -0.7474661223387274, "params": [[0.06620000000000001, 0.07740000000000001, 0.0738], [-0.055400000000000005, -0.07540000000000001, -0.0703]], "bitstrings": ["1010010", "1000000"], "total_optimization_steps": 10, "probabilities": [0.014434402262782805, 0.016489521508031804], "opt... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(5)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + 0.75 * Z(1) + -0.25 * Z(0) + -0.5 * Z(6) + -0.5 * Z(5) + -0.5 * Z(2) + 0.75 * Z(3) + 0.25 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["1000000", "1010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0331) q[0];
cx q[1], q[0];
cx q[1], q[6];
rz(-0.0993) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz(0.0662) q[6];
cx q[0], q[6];
cx q[1], q[5];
rz(-0.0662) q[5];
cx q[1], q[5];
cx q[5], 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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
-551219938797709772 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 11], [6, 7], [4, 6], [10, 2], [8, 11], [8, 1], [3, 7], [10, 3], [3, 6], [0, 4], [10, 11], [2, 11], [8, 3], [0, 5], [1, 2], [1, 5], [2, 7], [2, 3], [9, 2], [8, 0], [9, 4], [9, 10], [0, 10], [11, 6], [0, 2], [8, 6], [8, 2], [3, 11], [2, 6], [9, 5], [0, ... | {"states": [3589, 3845], "expectation_value": -0.37705790503742176, "params": [[[1.8199, 0.0098], [1.8281, 0.009300000000000001], [1.7612, 0.0071], [1.6697000000000002, 0.0036000000000000003], [1.3151000000000002, 0.0002], [1.3087, 0.0055000000000000005], [1.3929, 0.0017000000000000001], [1.3651, 0.0026000000000000003]... | 0.5 * (Z(9) @ Z(11)) + 0.5 * (Z(6) @ Z(11)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(10) @ Z(11)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(7)) + 0.5 * (Z(2) @ Z(11)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 *... | 1 | 12 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -6.0, "smallest_bitstrings": ["111000010101", "111100000101", "000111101010", "110100010101", "001001101010", "110110010101", "000011111010", "001011101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.8199) q[0];
rz(0.0098) q[0];
rx(1.8281) q[1];
rz(0.0093) q[1];
rx(1.7612) q[2];
rz(0.0071) q[2];
rx(1.6697) q[3];
rz(0.0036) q[3];
rx(1.3151) q[4];
rz(0.0002) q[4];
rx(1.3087) q[5];
rz(0.0055) q[5];
rx(1.3929) q[6];
rz(0.0017) q[6];
rx(1.3651) q[7];
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": []} |
b4386623ef42d59378644c97d49e9610 | 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": 4, "source": 0, "t... | {"states": [94, 93], "expectation_value": -17.8360608964411, "params": [[-0.0359, -0.005, -0.0068000000000000005], [0.0603, 0.046900000000000004, 0.0488]], "bitstrings": ["10100001", "10100010"], "total_optimization_steps": 10, "probabilities": [0.013198270206228713, 0.01621225985158565], "optimization_time": 5.2964687... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 2.0 * Z(0) + 7.0 * Z(2) + 5.5 * Z(3) + 18.... | 1 | 8 | 3 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.0, "smallest_bitstrings": ["10100010"]} | OPENQASM 3.0;
include "stdgates.inc";
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(-0.3231) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3231) q[2];
cx q[1], q[2];
cx q[2], q[3];
rz(-0.3231) q[3];
cx q[2], q[3];
cx q[0], q[4];
rz(-0.3231) q[4];
cx q[0], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
2df93713dba52fbc8f2926f6b2fd57be | 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": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 3, ... | {"states": [24, 25], "expectation_value": -3.5428195900350277, "params": [[[0.0015, 0.0001], [0.0026000000000000003, 0.0023], [0.0025, 0.0095], [1.5981, 0.001], [1.598, 0.0086], [0.0026000000000000003, 0.0099], [0.0023, 0.0009000000000000001], [-1.586, 0.0095]]], "bitstrings": ["11100111", "11100110"], "total_optimizat... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + 1.0 * (Z(7) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(4) @ Z(7)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(2) + 0.0 * Z(7) + 1.0 * Z(3) + 0.75 * Z(4) + 0.25 * Z(5) + 0.0 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["11100110", "11100000", "11100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0015) q[0];
rz(0.0001) q[0];
rx(0.0026) q[1];
rz(0.0023) q[1];
rx(0.0025) q[2];
rz(0.0095) q[2];
rx(1.5981) q[3];
rz(0.001) q[3];
rx(1.598) q[4];
rz(0.0086) q[4];
rx(0.0026) q[5];
rz(0.0099) q[5];
rx(0.0023) q[6];
rz(0.0009) q[6];
rx(-1.586) q[7];
rz(0.00... | 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[8] c;
qubit[8] ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
1a4362188b6951d8767035d8d38385f1 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [100, 19], "expectation_value": -0.5946279916227807, "params": [[-0.0539, -0.036000000000000004, -0.0461], [0.0714, 0.0487, 0.057800000000000004]], "bitstrings": ["0011011", "1101100"], "total_optimization_steps": 10, "probabilities": [0.011243251665549358, 0.01134931928224343], "optimization_time": 4.070905... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(3) + -1.0 * Z(0) + -0.5 * Z(5) + -1.0 * Z(6) + 0.0 * Z(1) + -0.5 * Z(2) + -1.0 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["0011011", "1101100", "1001101", "1011001", "0001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(-0.0539) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(-0.0539) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(-0.0539) q[5];
cx q[0], q[5];
cx q[0], q[6];
rz(-0.0539) q[6];
cx q[0], q[6];
cx q[6], q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
5685d04b4306b22ae56a2bbc733b9334 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [301, 429], "expectation_value": -1.9241493089950121, "params": [[0.004200000000000001, 1.0093, 0.9916, 0.06280000000000001, 0.9944000000000001, 0.1905, 0.9780000000000001, 0.9832000000000001, 0.4807, 0.9902000000000001], [-0.0173, 0.6835, -0.0666, 0.0014, 0.9991000000000001, 0.16670000000000001, 0.4788, 0.1... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ 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)) + 0.5 * (Z(3) @ Z(6)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(7) @ Z(1)) + 0.0625 * (Z(8) @ Z(1)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(7) @ Z(4)) + 0.06... | 10 | 10 | 2 | {"smallest_eigenvalues": [-3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.3125, "smallest_bitstrings": ["0110011000", "1010011000", "1000101001", "1101000001"... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0042) q[0];
ry(1.0093) q[1];
ry(0.9916) q[2];
ry(0.0628) q[3];
ry(0.9944) q[4];
ry(0.1905) q[5];
ry(0.978) q[6];
ry(0.9832) q[7];
ry(0.4807) q[8];
ry(0.9902) q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], 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[... | null | {"circuits": [], "gradients": []} |
17639781641b88f9ffa836608d3b637d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 17, "source": 1, "target": 5}, {"weight": 13, "source": 1, "target": 2}, {... | {"states": [248, 124], "expectation_value": -28.06701025521806, "params": [[0.0264, -0.0032, 0.009000000000000001, 0.0025], [-0.06770000000000001, -0.0409, -0.0414, -0.023700000000000002]], "bitstrings": ["00000111", "10000011"], "total_optimization_steps": 10, "probabilities": [0.012145621121499894, 0.0143291760282118... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(0)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(3) @ Z(5)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.0, "smallest_bitstrings": ["10000011"]} | OPENQASM 3.0;
include "stdgates.inc";
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(0.2112) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2112) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2112) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(0.2112) q[4];
cx q[0], q[4];
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": []} |
cff27a3576fe0b6b8465ef6c1f1fffb6 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [71, 67], "expectation_value": -4.247962106999208, "params": [0.8525, -0.0014, 0.0025, 0.504, -0.0021000000000000003, 0.4792, 0.0012000000000000001, 0.5716, 0.7282000000000001, 0.11850000000000001, 0.9092, -0.0007, 0.9084000000000001, -0.0022, 0.8521000000000001, 0.0, 0.0038, 0.0081, -0.0015, 0.0035, 0.00130... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + -2.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + ... | 3 | 7 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1111000", "0111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.8525) q[0];
rz(-0.0014) q[0];
rx(0.0025) q[1];
rz(0.504) q[1];
rx(-0.0021) q[2];
rz(0.4792) q[2];
rx(0.0012) q[3];
rz(0.5716) q[3];
rx(0.7282) q[4];
rz(0.1185) q[4];
rx(0.9092) q[5];
rz(-0.0007) q[5];
rx(0.9084) q[6];
rz(-0.0022) q[6];
crz(0.0024) q[6], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-8734108314577118011 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 2, 3, 4, 5, 10, 11], [8, 1, 3], [10, 4, 5, 7], [0, 1, 5, 9, 11], [2, 3, 4, 8, 9, 10], [0, 9, 10, 3], [1, 3, 4, 6, 9, 11], [8, 1, 11, 5], [0, 1, 4, 6, 10, 11], [0, 4, 6, 7, 9, 11], [0, 5, 6, 7, 8, 9, 10, 11], [1, 2], [0, 1, 4, 5, 6, 9, 10], [1, 3, 4, 5... | {"states": [2923, 2939], "expectation_value": -4.429487773630597, "params": [1.5833000000000002, 1.5635000000000001, 0.0026000000000000003, 0.0026000000000000003, 1.5741, 1.5729, 1.5773000000000001, 1.5692000000000002, 3.6326, 2.6531000000000002, 1.5782, 1.5588000000000002, 1.5815000000000001, 1.5645, -0.7934, -0.7934,... | 0.08095238095238094 * (Z(0) @ Z(2)) + 0.11428571428571427 * (Z(3) @ Z(2)) + 0.16428571428571426 * (Z(3) @ Z(0)) + 0.11428571428571427 * (Z(4) @ Z(2)) + 0.17142857142857143 * (Z(4) @ Z(0)) + 0.3142857142857143 * (Z(4) @ Z(3)) + 0.05714285714285714 * (Z(5) @ Z(2)) + 0.1488095238095238 * (Z(5) @ Z(0)) + 0.3904761904761904... | 13 | 12 | 1 | {"smallest_eigenvalues": [-4.453571428571428], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.404761904761905, "smallest_bitstrings": ["010010000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.5833) q[0];
ry(0.0026) q[1];
ry(1.5741) q[2];
ry(1.5773) q[3];
ry(3.6326) q[4];
ry(1.5782) q[5];
ry(1.5815) q[6];
ry(-0.7934) q[7];
ry(1.5683) q[8];
ry(0.0025) q[9];
ry(1.5752) q[10];
ry(1.5739) q[11];
crz(0.0029) q[11], q[0];
crz(-0.0028) q[10], q[11];... | 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": []} |
40969da677d24132a72158e32478fe04 | 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": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": ... | {"states": [0, 1023], "expectation_value": -18.134961010364478, "params": [[[0.0022, 1.6046], [0.0024000000000000002, 0.0023], [0.0021000000000000003, 0.0024000000000000002], [0.0018000000000000002, 0.0022], [0.0018000000000000002, 0.0018000000000000002], [0.0016, 0.0018000000000000002], [-0.0029000000000000002, 0.0025... | -3.0 * (Z(0) @ Z(2)) + 1.0 * (Z(6) @ Z(2)) + -2.0 * (Z(6) @ Z(0)) + -3.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(6)) + -2.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * (Z(4) @ Z(1)) + -3.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 *... | 15 | 10 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["0000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0022) q[0];
ry(0.0024) q[1];
ry(0.0021) q[2];
ry(0.0018) q[3];
ry(0.0018) q[4];
ry(0.0016) q[5];
ry(-0.0029) q[6];
ry(0.0016) q[7];
ry(0.0026) q[8];
ry(0.0028) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10... | {"node": 10} | {"circuits": [], "gradients": []} |
-2967511182053951740 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4, 5], [2, 4], [1, 4, 5, 6], [0, 1, 3], [0, 5], [2, 3, 5]]} | {"states": [58, 46], "expectation_value": -1.870636993417326, "params": null, "bitstrings": ["1000101", "1010001"], "total_optimization_steps": 42, "probabilities": [0.0694712886090836, 0.8387856720321355], "optimization_time": 56.25410223007202} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(5)) + 0.08333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.9166666666666665, -1.9166666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.8333333333333335, "smallest_bitstrings": ["1010001", "1000100"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(1.4449) q[3];
cry(-1.0324) q[5], q[0];
ry(0.9174) q[5];
cry(-1.1751) q[4], q[2];
cry(-0.625) q[3], q[0];
cry(0.4806) q[3], q[5];
ry(0.5807) q[4];
cry(-0.4303) q[5], q[2];
cry(0.4952) q[3], q[4];
cry(-0... | 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(1.4449) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
f589aa270dfef1a199e9418113b678ca | 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": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [256, 255], "expectation_value": -6.292258260740499, "params": [[[0.0034000000000000002, 0.018600000000000002], [-0.0023, -0.0013000000000000002], [-0.0033, -0.0021000000000000003], [-0.011300000000000001, 0.0021000000000000003], [-0.0005, -0.0022], [0.001, -0.0023], [0.0008, -0.0023], [-0.0056, -0.0082], [1... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @ ... | 15 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["100000000", "100010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0034) q[0];
ry(-0.0023) q[1];
ry(-0.0033) q[2];
ry(-0.0113) q[3];
ry(-0.0005) q[4];
ry(0.001) q[5];
ry(0.0008) q[6];
ry(-0.0056) q[7];
ry(1.6558) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], 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": 8} | {"circuits": [], "gradients": []} |
250509f37f9446f8e0ae2849e52dd5c2 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "... | {"states": [140, 12], "expectation_value": -2.418692170616555, "params": [[-0.031100000000000003, -0.0536], [0.027, 0.0524]], "bitstrings": ["111101110011", "111111110011"], "total_optimization_steps": 10, "probabilities": [0.00034664220321922224, 0.00035081289878943734], "optimization_time": 14.570061922073364} | 0.5 * (Z(0) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(0)) + 1.0 * (Z(1) @ Z(8)) + 0.8571428571428572 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(9)) + 1.0 * (Z(2) @ Z(8)) + 0.8571428571428572 * (Z(2) @ Z(0)) + 1.0 * (Z(2) @ Z(9)) + 1.7142857142857144 * (Z(2) @ Z(1)) + -1.0 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(0)) + -1.0 * (Z... | 1 | 12 | 2 | {"smallest_eigenvalues": [-12.214285714285715], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.928571428571429, "smallest_bitstrings": ["111111110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[8], q[0];
rz(-0.0311) q[0];
cx q[8], q[0];
cx q[8], q[9];
rz(-0.0622) q[9];
cx q[8], q[9];
cx q[0], q[9];
rz(-0.0311) q[9];
cx q[0], q[9];
cx q[8], q[1];
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[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
5e1f1e75ba04327de43b1491321a7511 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 0, ... | {"states": [67, 1], "expectation_value": -5.206755526777769, "params": [[0.07540000000000001, 0.0693, 0.0709, 0.055400000000000005], [-0.077, -0.066, -0.0751, -0.067]], "bitstrings": ["10111100", "11111110"], "total_optimization_steps": 10, "probabilities": [0.027391296400915838, 0.031018411499014197], "optimization_ti... | -0.75 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + 3.25 * (Z(7) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(7)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -1.75 * (Z(5) @ Z(3)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(... | 1 | 8 | 4 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
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(-0.1131) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.2262) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(-0.1131) q[4];
cx q[0], q[4];
cx q[0], q[7];
rz(0.4901) q[7];
cx q[0], q[7];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
-8986635722940970676 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 4, 6, 7], [8, 0, 2, 6], [1, 2, 3], [0, 3, 4, 7], [8, 1, 7], [1, 4, 5], [8, 4, 6], [0, 2, 3, 5], [8, 1, 2], [0, 5, 6], [4, 5, 7], [2, 7], [8, 0, 3, 6], [3, 5, 6], [2, 4]]} | {"states": [182, 438], "expectation_value": -0.7468729276346089, "params": [[-0.1491], [0.16]], "bitstrings": ["101001001", "001001001"], "total_optimization_steps": 20, "probabilities": [0.0031080617374542444, 0.0031812476078969354], "optimization_time": 5.635266542434692} | 0.16666666666666666 * (Z(0) @ Z(4)) + 0.25 * (Z(6) @ Z(4)) + 0.41666666666666663 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(8) @ Z(4)) + 0.16666666666666666 * (Z(8) @ Z(0)) + 0.3333333333333333 * (Z(8) @ Z(6... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.916666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.583333333333333, "smallest_bitstrings": ["001001001"]} | OPENQASM 3.0;
include "stdgates.inc";
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[4], q[0];
rz(-0.0497) q[0];
cx q[4], q[0];
cx q[4], q[6];
rz(-0.0746) q[6];
cx q[4], q[6];
cx q[0], q[6];
rz(-0.1242) q[6];
cx q[0], q[6];
cx q[4], q[7];
rz(-0.0994) q[7];
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] 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... | null | {"circuits": [], "gradients": []} |
7822247296100373396 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 3, 4, 5, 7, 8], [0, 1, 2, 3, 4, 5, 6, 7], [0, 1, 2, 3, 5, 6, 7, 8], [0, 1, 4, 5, 6, 7, 8], [0, 1, 2, 3, 4, 5, 6, 8]]} | {"states": [191, 247], "expectation_value": -0.5183743864348489, "params": [[0.47590000000000005], [-0.4555]], "bitstrings": ["101000000", "100001000"], "total_optimization_steps": 50, "probabilities": [0.0039872133048853035, 0.004131218450686506], "optimization_time": 3.4326343536376953} | 0.07738095238095238 * (Z(0) @ Z(2)) + 0.07738095238095238 * (Z(3) @ Z(2)) + 0.07738095238095238 * (Z(3) @ Z(0)) + 0.05952380952380952 * (Z(4) @ Z(2)) + 0.08333333333333331 * (Z(4) @ Z(0)) + 0.05952380952380952 * (Z(4) @ Z(3)) + 0.07738095238095238 * (Z(5) @ Z(2)) + 0.10119047619047619 * (Z(5) @ Z(0)) + 0.07738095238095... | 1 | 9 | 1 | {"smallest_eigenvalues": [-0.9166666666666671], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.880952380952381, "smallest_bitstrings": ["100001000"]} | OPENQASM 3.0;
include "stdgates.inc";
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(0.0737) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0737) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.0737) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(0.0567) q[4];
cx q[2], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | null | {"circuits": [], "gradients": []} |
f099da2cca44af333dfb81e09032822f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"sour... | {"states": [325, 327], "expectation_value": -5.567925619794266, "params": [1.6135000000000002, 0.0025, 0.0015, 0.0039000000000000003, 1.6115000000000002, 0.0013000000000000002, 0.0015, 0.0015, 0.0015, 0.0035, 0.3294, 0.0039000000000000003, 1.612, 0.0011, 1.5989, 0.008, 1.6123, 0.0049, 0.009600000000000001, 0.0063, 0.00... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(2) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["010111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.6135) q[0];
rz(0.0025) q[0];
rx(0.0015) q[1];
rz(0.0039) q[1];
rx(1.6115) q[2];
rz(0.0013) q[2];
rx(0.0015) q[3];
rz(0.0015) q[3];
rx(0.0015) q[4];
rz(0.0035) q[4];
rx(0.3294) q[5];
rz(0.0039) q[5];
rx(1.612) q[6];
rz(0.0011) q[6];
rx(1.5989) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
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": -3.2432216828797165, "params": [0.47590000000000005, 0.1635, 0.8091, 0.0063, 0.8105, 0.0081, 0.0026000000000000003, 0.5851000000000001, 0.0, -0.15560000000000002, 0.0032, 0.5997, 0.0032, -0.596, 0.7966000000000001, 0.1409, 0.8052, 0.366, 0.803, 0.19010000000000002, 0.4818, 0.... | 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 | 2 | {"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";
bit[10] c;
qubit[10] q;
rx(0.4759) q[0];
rz(0.1635) q[0];
rx(0.8091) q[1];
rz(0.0063) q[1];
rx(0.8105) q[2];
rz(0.0081) q[2];
rx(0.0026) q[3];
rz(0.5851) q[3];
rx(0) q[4];
rz(-0.1556) q[4];
rx(0.0032) q[5];
rz(0.5997) q[5];
rx(0.0032) q[6];
rz(-0.596) q[6];
rx(0.7966) q[7];
rz(0.14... | 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": []} |
4ef5b8ae9f7c2af9940d89976f60e031 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [129, 1], "expectation_value": -13.999993443837631, "params": null, "bitstrings": ["01111110", "11111110"], "total_optimization_steps": 23, "probabilities": [6.489457528111626e-07, 0.9999993343841902], "optimization_time": 24.921671628952026} | -0.75 * (Z(0) @ Z(2)) + -1.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(5)) + -1.75 * (Z(4) @ Z(6)) + 0.5 * Z(2) + -0.25 * Z(0) + 1.0 * Z(5) + -0.75 * Z(1) + -1.5 *... | 1 | 8 | 3 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(-1.5708) q[4];
ry(1.5708) q[7];
ry(-1.5708) q[0];
ry(-1.5708) q[3];
ry(-1.5708) q[6];
ry(-1.5706) q[5];
ry(-1.5706) q[1];
ry(-1.5708) q[2];
cry(-0.0016) q[7], q[0];
c[0] = measure q[0];
c[1] = ... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[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];\nc[6] = measure q... |
-4256392746588278748 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 11, 6], [9, 11, 7], [0, 1, 4, 5, 6, 7, 8, 9, 10], [1, 2, 3, 10, 11]]} | {"states": [507, 1531], "expectation_value": -0.6428162598889536, "params": [0.7358, 0.7333000000000001, 0.7962, 0.8487, 0.7357, 0.7301000000000001, 1.0346, 1.0099, 0.8988, 1.0126, 1.3486, 1.3558000000000001, 1.1466, 1.1477000000000002, 1.3564, 1.3605, 1.3608, 1.3575000000000002, 0.7185, 0.7182000000000001, 1.3319, 1.3... | 0.16666666666666666 * (Z(0) @ Z(11)) + 0.16666666666666666 * (Z(6) @ Z(11)) + 0.18055555555555555 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(9) @ Z(11)) + 0.013888888888888888 * (Z(9) @ Z(0)) + 0.013888888888888888 * (Z(9) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(11)) + 0.013888888888888888 * (Z(7) @ Z(0)) + 0.0138888... | 13 | 12 | 1 | {"smallest_eigenvalues": [-1.0333333333333337, -1.0333333333333337, -1.0333333333333337, -1.0333333333333337], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0333333333333334, "smallest_bitstrings": ["101100010000", "100100000100", "101000000100", "101100000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.7358) q[0];
ry(0.7962) q[1];
ry(0.7357) q[2];
ry(1.0346) q[3];
ry(0.8988) q[4];
ry(1.3486) q[5];
ry(1.1466) q[6];
ry(1.3564) q[7];
ry(1.3608) q[8];
ry(0.7185) q[9];
ry(1.3319) q[10];
ry(1.3761) q[11];
crz(0.2177) q[11], q[0];
crz(0.1127) q[10], q[11];
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": []} |
03a8941dd9c8b7549060b6323e060e33 | 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": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 7}, {"source": 2, "target": 4}, {"sour... | {"states": [235, 107], "expectation_value": -3.480759315015924, "params": [[[0.06670000000000001, -0.41750000000000004], [0.7427, -0.0476], [0.9032, -0.0011], [0.9081, 0.0011], [-0.0048000000000000004, -0.4682], [0.9115000000000001, -0.0009000000000000001], [-0.0008, -0.46680000000000005], [0.8360000000000001, 0.005500... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(5) + -1.0 * Z(0) + -1.5 * Z(6) + -0.5 * Z(8) + -0.5 * Z(7) + 0.0 * Z(1) + -1.5 * Z(4) + 0.0... | 1 | 9 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["100011010", "110010100", "100010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0667) q[0];
rz(-0.4175) q[0];
rx(0.7427) q[1];
rz(-0.0476) q[1];
rx(0.9032) q[2];
rz(-0.0011) q[2];
rx(0.9081) q[3];
rz(0.0011) q[3];
rx(-0.0048) q[4];
rz(-0.4682) q[4];
rx(0.9115) q[5];
rz(-0.0009) q[5];
rx(-0.0008) q[6];
rz(-0.4668) q[6];
rx(0.836) 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[... | null | {"circuits": [], "gradients": []} |
6d7e5c7b3f86be8f7eca13c50e6c3de8 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [5, 7], "expectation_value": -3.471095092863698, "params": [[[0.995, 0.0041], [1.1685, 0.006900000000000001], [1.1788, 0.0027], [1.1780000000000002, 0.0009000000000000001], [1.5998, 0.009300000000000001], [1.5907, 0.0067], [1.5917000000000001, 0.007200000000000001]]], "bitstrings": ["1111010", "1111000"], "t... | 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": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.995) q[0];
rz(0.0041) q[0];
rx(1.1685) q[1];
rz(0.0069) q[1];
rx(1.1788) q[2];
rz(0.0027) q[2];
rx(1.178) q[3];
rz(0.0009) q[3];
rx(1.5998) q[4];
rz(0.0093) q[4];
rx(1.5907) q[5];
rz(0.0067) q[5];
rx(1.5917) q[6];
rz(0.0072) q[6];
c[0] = measure q[0];
c[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] 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": []} |
9d0fda9991561362ccfc12e66c38b9f5 | 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": 20, "source": 1, "target": 5}, {"weight": 15, "source": 1, "target": 3}, {"weight": 12, "source": 1, "target": 2}, {"weight": 1... | {"states": [190, 122], "expectation_value": -19.258547894957474, "params": [[0.0029000000000000002, 0.0236, 0.0027], [-0.0194, -0.051800000000000006, -0.0507]], "bitstrings": ["01000001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.007642494845748595, 0.00902082740123706], "optimization_time": 8.60... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(4)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(2) @ Z(4)) + 3.5 * (Z(2) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-80.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
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(0.0203) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.0203) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.0203) q[4];
cx q[0], q[4];
cx q[1], q[3];
rz(0.0203) q[3];
cx q[1], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
-5716096059612415252 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 2, 3, 4, 5, 6, 10], [5, 7], [0, 2, 3, 8, 9, 10], [0, 1, 3, 5, 6, 8, 9], [0, 2, 3, 5, 6], [9, 3, 4], [3, 6, 7, 9, 10], [2, 3, 5, 8, 10], [1, 4, 5, 9, 10], [0, 1, 2, 7, 8, 10], [2, 4, 5, 8, 9], [1, 4, 5, 6, 8, 10], [1, 4, 5, 6, 8, 9], [0, 1, 2, 3, 6, 7, 8, ... | {"states": [1757, 1375], "expectation_value": -2.5062801594611934, "params": [[0.3633], [-0.3639]], "bitstrings": ["00100100010", "01010100000"], "total_optimization_steps": 40, "probabilities": [0.0030177290834219835, 0.003055579036971913], "optimization_time": 38.611786127090454} | 0.14166666666666666 * (Z(1) @ Z(2)) + 0.22499999999999998 * (Z(3) @ Z(2)) + 0.08928571428571427 * (Z(3) @ Z(1)) + 0.12380952380952381 * (Z(4) @ Z(2)) + 0.14047619047619048 * (Z(4) @ Z(1)) + 0.24047619047619045 * (Z(4) @ Z(3)) + 0.1738095238095238 * (Z(5) @ Z(2)) + 0.1880952380952381 * (Z(5) @ Z(1)) + 0.1714285714285714... | 1 | 11 | 1 | {"smallest_eigenvalues": [-3.7071428571428564], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.683333333333334, "smallest_bitstrings": ["01010100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[2], q[1];
rz(0.1029) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.1635) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.0649) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(0.09) 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": []} |
03fc078c7a20f2a5bd889c5ded444a79 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [1711, 1199], "expectation_value": -1.9617805810644229, "params": [0.5963, 0.5941000000000001, 0.39490000000000003, 0.3907, 0.1904, 0.1918, 0.402, 0.4047, 0.2031, 0.196, 0.5993, 0.6021000000000001, -0.0112, -0.0114, 0.5991000000000001, 0.6032000000000001, 0.5930000000000001, 0.5966, 0.5956, 0.5975, 0.595, 0.... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 14 | 11 | 2 | {"smallest_eigenvalues": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -2.4375, "small... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.5963) q[0];
ry(0.3949) q[1];
ry(0.1904) q[2];
ry(0.402) q[3];
ry(0.2031) q[4];
ry(0.5993) q[5];
ry(-0.0112) q[6];
ry(0.5991) q[7];
ry(0.593) q[8];
ry(0.5956) q[9];
ry(0.595) q[10];
crx(0.58) q[10], q[0];
crx(0.1436) q[9], q[10];
crx(0.0179) q[8], q[9];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
9e8a866d2c0011b6946d4c64e758f31c | 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": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [3, 28], "expectation_value": -0.7012452376805668, "params": [[0.0665, 0.0526, 0.0743], [-0.0775, -0.0448, -0.057600000000000005]], "bitstrings": ["111100", "100011"], "total_optimization_steps": 10, "probabilities": [0.022835259950589628, 0.02451194896316559], "optimization_time": 4.752413511276245} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0665) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0665) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(0.0665) q[4];
cx q[0], q[4];
cx q[2], q[4];
rz(0.0665) q[4];
cx q[2], q[4];
cx q[1], q[5];
rz(0.0665... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
1fc21af19f39ef7e600197f0903292a1 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [9714, 8688], "expectation_value": -5.931204031748874, "params": [[-0.2116, -0.4586], [0.5186000000000001, 0.2629]], "bitstrings": ["01101000001101", "01111000001111"], "total_optimization_steps": 80, "probabilities": [0.00382392778319779, 0.003823927783197791], "optimization_time": 19.28078007698059} | 0.5 * (Z(0) @ Z(9)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(0)) + 0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(12) @ Z(0)) + 0.5 * (Z(12) @ Z(10)) + -0.5 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(10)) + -1.0 * (Z(3) @ Z(12)) + -0.5 * (Z(4) @ Z(9)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(10)) + -0.5 * (Z(4) @ Z(1... | 1 | 14 | 2 | {"smallest_eigenvalues": [-8.666666666666618], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.666666666666616, "smallest_bitstrings": ["01111000001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
cx q[9], q[0];
rz(-0.2116) q[0];
cx q[9], q[0];
cx q[9], q[10];
rz(-0.4232) q[10];
cx q[9], q[10];
cx q[0], q[10];
rz(-0.2116) q[10];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
94dd9c8568f88dcb3e4d7e2fe1b8d82a | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6... | {"states": [5, 63], "expectation_value": -6.434790535420706, "params": null, "bitstrings": ["1111010", "1000000"], "total_optimization_steps": 63, "probabilities": [0.07175495237596136, 0.7330665385176253], "optimization_time": 59.561888456344604} | -0.5 * (Z(0) @ Z(3)) + 0.75 * (Z(6) @ Z(0)) + -1.25 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(6) + -0.5 * Z(1) + -0.25 * Z(2) + -1.75 * Z(5) + 2.0 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["1000000", "1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(1.5708) q[4];
cry(1.5626) q[1], q[3];
cry(1.5708) q[3], q[2];
cry(1.2164) q[3], q[1];
cry(1.4868) q[1], q[6];
cry(-1.4865) q[6], q[0];
cry(1.3016) q[3], q[5];
cry(-0.3486) q[4], q[5];
cry(0.5369) q[1],... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[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];\nc[6] = measure q[6];\n", "... |
34fec832591d56601cbd146a15fec9ed | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, ... | {"states": [152, 156], "expectation_value": -1.2649686517817118, "params": [1.6019, 0.0081, 0.9964000000000001, 0.0008, 0.002, 0.0037, 1.607, 0.006900000000000001, 1.6097000000000001, 0.0077, 1.6006, 0.0055000000000000005, 1.2645, 0.0074, 1.0050000000000001, 0.0028, 0.0079, 0.0066, 0.0058000000000000005, 0.0077, 0.0094... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(0) @ Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(4) @ Z(6)) + -0.125 * (Z(0) @ Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(5) @ Z(6)) + 0.12... | 16 | 8 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.375, "smallest_bitstrings": ["10110001", "01100011", "01110100", "01100110", "10100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.6019) q[0];
rz(0.0081) q[0];
rx(0.9964) q[1];
rz(0.0008) q[1];
rx(0.002) q[2];
rz(0.0037) q[2];
rx(1.607) q[3];
rz(0.0069) q[3];
rx(1.6097) q[4];
rz(0.0077) q[4];
rx(1.6006) q[5];
rz(0.0055) q[5];
rx(1.2645) q[6];
rz(0.0074) q[6];
rx(1.005) q[7];
rz(0.002... | 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": []} |
5bfd79024282ae69c62758a244a2de56 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [9, 12], "expectation_value": -2.4551628339052805, "params": null, "bitstrings": ["110110", "110011"], "total_optimization_steps": 18, "probabilities": [0.05733133303541498, 0.9026320751736394], "optimization_time": 14.246676445007324} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -0.75 * Z(0) + -0.75 * Z(1) + 0.0 * Z(2) + -0.25 * Z(3) + -0.5 * Z(4) + -0.2... | 1 | 6 | 3 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["111010", "110110", "110101", "110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5486) q[1];
ry(-1.4449) q[4];
ry(-1.4449) q[0];
ry(1.0342) q[2];
cry(-0.9353) q[3], q[5];
ry(0.712) q[3];
cry(-0.5281) q[2], q[5];
cry(0.5097) q[2], q[3];
cry(0.3892) q[3], q[2];
ry(-0.3871) q[5];
cry(-0.11... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) 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 \"stdga... |
d4330ca50c7e11a2ef645e484effbde2 | 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": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "s... | {"states": [191, 153], "expectation_value": -6.952654301488413, "params": [[-0.13520000000000001, -0.11910000000000001], [0.1401, 0.1381]], "bitstrings": ["101000000", "101100110"], "total_optimization_steps": 20, "probabilities": [0.017823264033839187, 0.023361466283805445], "optimization_time": 4.557348012924194} | -1.25 * (Z(0) @ Z(2)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(0)) + 2.5 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(7)) + -1.25 * (Z(1) @ Z(5)) + -1.5 * (Z(1) @ Z(7)) + -1.5 * (Z(1) @ Z(8)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(7)) + -0.75 * (Z(6) @ Z(5)) + -1.25 * (Z(6) @ ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["101100110"]} | OPENQASM 3.0;
include "stdgates.inc";
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(0.338) q[0];
cx q[2], q[0];
cx q[0], q[5];
rz(0.0676) q[5];
cx q[0], q[5];
cx q[2], q[7];
rz(0.1352) q[7];
cx q[2], q[7];
cx q[0], q[7];
rz(0.2028) q[7];
cx q[0], q[7];
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[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
b1983a1e4f06f774f7ec1ed4bb689b87 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [1754, 1758], "expectation_value": -2.5371328421081416, "params": [[[0.2283, 0.4698, 0.0053, 0.0064], [0.9550000000000001, 0.4717, 0.3952, 0.0028], [1.197, -0.0031000000000000003, 1.1954, 0.0034000000000000002], [1.2036, -0.0001, 1.1921000000000002, 0.001], [1.1976, 0.0026000000000000003, 1.1993, 0.003400000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 11 | 12 | 1 | {"smallest_eigenvalues": [-3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.9375, "smallest_bitstrings": ["010001101000", "001100100010", "100000101001", "001100101000",... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.2283) q[0];
rz(0.4698) q[0];
ry(0.955) q[1];
rz(0.4717) q[1];
ry(1.197) q[2];
rz(-0.0031) q[2];
ry(1.2036) q[3];
rz(-0.0001) q[3];
ry(1.1976) q[4];
rz(0.0026) q[4];
ry(1.2013) q[5];
rz(-0.001) q[5];
ry(1.1503) q[6];
rz(-0.0045) q[6];
ry(0.1453) q[7];
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": []} |
fd959b015d7c5b50b2cd05831ed95a60 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 2}, {"weight": 17, "source": 0, "target": 4}, {"weight": 19, "source": 1, "target": 2}, {"weight": 1... | {"states": [219, 122], "expectation_value": -43.5964027719992, "params": null, "bitstrings": ["00100100", "10000101"], "total_optimization_steps": 100, "probabilities": [0.13386896449906283, 0.3013653293628955], "optimization_time": 187.81863522529602} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-73.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.0, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(-3.4097) q[3];
ry(7.3963) q[6];
cry(-21.8231) q[6], q[3];
ry(15.7536) q[1];
cry(-63.1937) q[6], q[1];
ry(3.4277) q[2];
ry(5.268) q[0];
cry(-63.4586) q[6], q[2];
ry(62.9219) q[4];
cry(24.499) q[... | null | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"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(-3.4097) 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];\nc[6] = measure q... |
a6e15f3d5d0d57da2b41d67529c98500 | 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": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target":... | {"states": [492, 511], "expectation_value": -13.281665015737357, "params": null, "bitstrings": ["000010011", "000000000"], "total_optimization_steps": 100, "probabilities": [0.08723981054349868, 0.31960717932666843], "optimization_time": 183.13394284248352} | -3.0 * (Z(0) @ Z(2)) + 1.0 * (Z(4) @ Z(2)) + -3.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + -3.0 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -3.0 * (Z(6) @ Z(0)) + -3.0 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 1.5 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(4)) + -3.0 * (Z(1) @ Z(5)) + -3.0... | 5 | 9 | 1 | {"smallest_eigenvalues": [-33.0, -33.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -32.0, "smallest_bitstrings": ["000000000", "000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
cry(1.5708) q[3], q[4];
cry(1.5668) q[4], q[1];
cry(-0.0114) q[1], q[3];
ry(-0.2374) q[3];
cry(0.2374) q[4], q[3];
cry(0.5347) q[1], q[5];
cry(1.0975) q[1], q[6];
cry(0.4274) q[6], q[0];
c... | null | {"node": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5708) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc... |
b9ba40a0ecabccac0a8480a5edd4c036 | 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": [1700, 677], "expectation_value": -64.00967107867658, "params": [[[1.5677, 0.37160000000000004], [1.8068000000000002, 0.1491], [-0.0687, 0.0356], [1.5718, 1.5644], [1.5678, 1.5676], [1.5679, 1.5679], [-1.2645, 1.5677], [-1.5738, 1.5742], [1.5684, 1.5681], [1.5673000000000001, -0.5639000000000001], [1.5678, 1... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(3) @ Z(0)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(9) @ Z(8)) + 6.5 * (Z(10) @ Z(4)) + 6.5 * (Z(10) @ Z(8)) + 6.5 * (Z(10) @ Z(9)) + 15.5 * Z(1) + 2.0 * Z(0) + 3.5 * Z(2) + 15.5 * Z(3) +... | 15 | 11 | 1 | {"smallest_eigenvalues": [-116.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -100.5, "smallest_bitstrings": ["10101011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.5677) q[0];
ry(1.8068) q[1];
ry(-0.0687) q[2];
ry(1.5718) q[3];
ry(1.5678) q[4];
ry(1.5679) q[5];
ry(-1.2645) q[6];
ry(-1.5738) q[7];
ry(1.5684) q[8];
ry(1.5673) q[9];
ry(1.5678) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], 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] x2;
input float[64] x3;
input float[6... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
834390fba4c480def6c6a26217d7a9af | 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": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5... | {"states": [35, 33], "expectation_value": -1.689097735633962, "params": [[-0.0626, -0.0538, -0.0454], [0.06910000000000001, 0.06810000000000001, 0.059500000000000004]], "bitstrings": ["1011100", "1011110"], "total_optimization_steps": 10, "probabilities": [0.01851140571332317, 0.019733436442538735], "optimization_time"... | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + 2.25 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + -0.75 * (Z(1) @ Z(6)) + -0.75 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + -0.75 * Z(4) + -0.5 * Z(5) + 1.5 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1011110"]} | OPENQASM 3.0;
include "stdgates.inc";
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(0.0313) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0939) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.0939) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(0.0939) q[4];
cx q[0], q[4];
cx q[0], q[5];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
421dc0e0e103964520cbb860ec0bda39 | 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": 5, "source": 0, "target": 1}, {"weight": 13, "source": 1, "target": 4}, {"weight": 18, "source": 1, "target": 2}, {"weight": 10, "source": 2, "tar... | {"states": [378, 218], "expectation_value": -19.089978673324556, "params": [[-0.035300000000000005, -0.0118], [0.0722, 0.058100000000000006]], "bitstrings": ["010000101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.006601941279440539, 0.008043495099013965], "optimization_time": 3.866760730743408} | 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(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-87.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.3177) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3177) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3177) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.3177) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
598a895484db1dd124dda8633fc7a99c | 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": 4, "source": 0, "t... | {"states": [121, 109], "expectation_value": -17.7581351492732, "params": [[0.0341, -0.006900000000000001, 0.015600000000000001], [-0.059800000000000006, -0.0315, -0.054400000000000004]], "bitstrings": ["10000110", "10010010"], "total_optimization_steps": 10, "probabilities": [0.010784408506641988, 0.011251050132239118]... | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(6) @ Z(7)) + 2.0 * Z(0) + 10.0 * Z(2) + 18.0 * Z(1) + 18.0 * Z(4) + 12.5 * Z(5) + 4.5 * Z(3... | 1 | 8 | 3 | {"smallest_eigenvalues": [-61.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
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[2];
rz(0.3069) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.3069) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(0.3069) q[1];
cx q[2], q[1];
cx q[1], q[4];
rz(0.3069) q[4];
cx q[1], q[4];
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": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
0880db631f670f7f3ca0bd5d242b72c4 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [65, 3], "expectation_value": -10.75857077528043, "params": [[0.0247, 0.0262], [-0.04, -0.07060000000000001]], "bitstrings": ["0111110", "1111100"], "total_optimization_steps": 10, "probabilities": [0.012777947500937237, 0.013229141587446164], "optimization_time": 5.172792434692383} | 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)) + 2.75 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + ... | 16 | 7 | 2 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.1358) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1358) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1358) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.1358) q[3];
cx q[1], q[3];
cx q[0], q[3];
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] 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": 5} | {"circuits": [], "gradients": []} |
24e9c86cfdb3e8240ca21f54feb2ae3f | 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": 6, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 3}, {"weight": 16, "source": 0, "target": 5}, {"weight": 12, "source": 1, "tar... | {"states": [249, 244], "expectation_value": -13.605458692768806, "params": [[0.041600000000000005], [-0.08660000000000001]], "bitstrings": ["100000110", "100001011"], "total_optimization_steps": 10, "probabilities": [0.004451031814659778, 0.005420687569821465], "optimization_time": 1.9914462566375732} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["100001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.3744) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3744) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3744) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(0.3744) q[4];
cx q[0], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1],... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
513c00093dea827c03c59c65710798db | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [102, 116], "expectation_value": -3.9998483083974135, "params": null, "bitstrings": ["0011001", "0001011"], "total_optimization_steps": 31, "probabilities": [1.6414279368067168e-05, 0.9998967143089581], "optimization_time": 26.02165675163269} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -1.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(5) + -1.0 * Z(6) + 0.0 * Z(1) + -0.5 * Z(2) + 0.0 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["0001011", "1010001"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(-1.5681) q[3];
ry(-1.4449) q[6];
ry(-1.4449) q[5];
ry(1.4417) q[4];
ry(1.4417) q[1];
ry(1.4417) q[0];
ry(1.4417) q[2];
cry(-0.1259) q[4], q[6];
cry(-0.1259) q[2], q[5];
cry(0.1217) q[4], q[1];
cry(0.12... | 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(-1.5681) 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];\nc[6] = measure q[6];\n", ... |
a238ea382c7dc73ed8f6a6edbed535c4 | 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}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -7.039169381784865, "params": [-0.0025, 0.22920000000000001, -0.0018000000000000002, 0.21810000000000002, 0.005, 0.30920000000000003, -0.0018000000000000002, 0.2975, 0.40230000000000005, -0.0031000000000000003, 0.4021, -0.0029000000000000002, 0.0082, 0.149, 0.0015, 0.1938, 0.00... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(10) @ Z(0)) + -0.5 * (Z(10) @ Z(6)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(10)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(8) @ Z(1)) + -0.25 * (Z... | 6 | 11 | 2 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -7.0, "smallest_bitstrings": ["11010010110", "11011111111", "11010010111", "11000010110", "11011110110", "11011110111", "11011111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0025) q[0];
rz(0.2292) q[0];
rx(0.005) q[1];
rz(0.3092) q[1];
rx(0.4023) q[2];
rz(-0.0031) q[2];
rx(0.0082) q[3];
rz(0.149) q[3];
rx(0.002) q[4];
rz(0.316) q[4];
rx(0.0024) q[5];
rz(0.3022) q[5];
rx(0.0015) q[6];
rz(0.3168) q[6];
rx(-0.0053) q[7];
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": 10} | {"circuits": [], "gradients": []} |
d1df537b8f7eacc6f0ca14b18760c116 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 4}, {"capaci... | {"states": [510, 442], "expectation_value": -5.193128111353392, "params": [[-0.1505, -0.15180000000000002], [0.16620000000000001, 0.163]], "bitstrings": ["1000000001", "1001000101"], "total_optimization_steps": 20, "probabilities": [0.007032785678568464, 0.007032785678568465], "optimization_time": 6.536156892776489} | 1.0 * (Z(1) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z... | 1 | 10 | 2 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["1000000010", "1000000001", "1001000101", "1001000110"]} | OPENQASM 3.0;
include "stdgates.inc";
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[2], q[1];
rz(-0.301) q[1];
cx q[2], q[1];
cx q[3], q[7];
rz(0.301) q[7];
cx q[3], q[7];
cx q[2], q[4];
rz(-0.1505) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(-0.1505) q[4];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
66f75df6a73731ca3dfcd77bd9b8f9a8 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7}]} | {"states": [127, 111], "expectation_value": -6.016587044511369, "params": [[[0.0024000000000000002, 3.1619], [0.0021000000000000003, 0.0023], [-1.6054000000000002, 0.002], [0.0021000000000000003, 0.0021000000000000003], [0.0021000000000000003, 0.002], [0.0021000000000000003, 0.002], [0.0022, -0.0082]]], "bitstrings": [... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(5) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + -0.5 * Z(2) | 15 | 7 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["0010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.0024) q[0];
ry(0.0021) q[1];
ry(-1.6054) q[2];
ry(0.0021) q[3];
ry(0.0021) q[4];
ry(0.0021) q[5];
ry(0.0022) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(3.1619) q[0];
ry(0.0023) q[1];
r... | 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;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
ry(x1) q[3];
ry(x1) q[4];
ry(x1) q[5];
ry(x3) q[6];
cx q[6], ... | {"node": 3} | {"circuits": [], "gradients": []} |
8571677821520371940 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[6, 7], [0, 1, 4, 7], [8, 2, 3, 4], [0, 6], [8, 2, 3, 7], [1, 3, 4, 6], [1, 3, 7], [3, 4, 5], [8, 1, 6], [0, 2, 5, 7], [8, 1, 3, 0], [1, 2, 3], [0, 3, 4, 7], [2, 5, 6], [8, 5, 7]]} | {"states": [467, 475], "expectation_value": -2.2894977627127355, "params": [1.0047000000000001, 0.0009000000000000001, 1.0031, 0.0047, 1.0009000000000001, -0.0047, 0.994, 0.0029000000000000002, 0.9998, 0.0031000000000000003, 0.9995, 0.0082, 0.9966, -0.0016, 0.9945, 0.0016, 1.0011, 0.0019, 0.9903000000000001, 0.00450000... | 0.5 * (Z(6) @ Z(7)) + 0.25 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(6)) + 0.25 * (Z(1) @ Z(7)) + 0.25 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(7)) + 0.08333333333333333 * (Z(4) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.25 * (Z(8) @ Z(... | 6 | 9 | 1 | {"smallest_eigenvalues": [-3.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.750000000000001, "smallest_bitstrings": ["000100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.0047) q[0];
rz(0.0009) q[0];
rx(1.0009) q[1];
rz(-0.0047) q[1];
rx(0.9998) q[2];
rz(0.0031) q[2];
rx(0.9966) q[3];
rz(-0.0016) q[3];
rx(1.0011) q[4];
rz(0.0019) q[4];
rx(1.0008) q[5];
rz(0.0023) q[5];
rx(0.9724) q[6];
rz(-0.0028) q[6];
rx(0.9932) q[7];
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": []} |
fd959b015d7c5b50b2cd05831ed95a60 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [50, 44], "expectation_value": -0.1559025154387573, "params": [[-0.0339, 0.0275, 0.066], [0.0558, 0.0119, -0.0375]], "bitstrings": ["001101", "010011"], "total_optimization_steps": 10, "probabilities": [0.017247179417460297, 0.017512012910881832], "optimization_time": 4.944455862045288} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(5) + 0.0 * Z(0) + -1.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.0339) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(-0.0339) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(-0.0339) q[2];
cx q[5], q[2];
cx q[1], q[2];
rz(-0.0339) q[2];
cx q[1], q[2];
cx q[5], q[3];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
-2732923853862995745 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 3], [0, 1, 2], [2, 4], [0, 1, 4]]} | {"states": [25, 28], "expectation_value": -1.3050358028252775, "params": null, "bitstrings": ["00110", "00011"], "total_optimization_steps": 24, "probabilities": [0.07522145664337178, 0.8225342738481733], "optimization_time": 17.060053825378418} | 0.5 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(3) + 0.33333333333333326 * Z(0) + 0.3333333333333333 * Z(1) + 0.166666666666666... | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.3333333333333335, -1.3333333333333335, -1.3333333333333335], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.333333333333333, "smallest_bitstrings": ["10001", "01011", "00011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(1.2292) q[1];
cry(-1.0342) q[0], q[3];
ry(0.7375) q[0];
cry(-1.146) q[2], q[4];
ry(-0.4866) q[3];
cry(0.5321) q[1], q[0];
cry(-0.3855) q[1], q[3];
ry(0.4807) q[2];
cry(-0.3685) q[0], q[4];
cry(0.4476) q[1], q[2];
cry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.2292) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... |
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": 66.78845596313477} | 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 | 3 | {"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"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
cry(-1.3016) q[5], q[1];
cry(-0.5926) q[3], q[4];
ry(1.0619) q[0];
cry(-0.8136) q[4], q[3];
cry(-0.4755) q[2], q[1];
ry(0.6649) q[5];
cry(0.8947) q[5], q[2];
ry(-0.2964) q[1];
cry(0.4386) q[5], q[0];
cry(... | 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... |
c451d9585216e3f1c5bc89acfa5b77d8 | 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": [325, 327], "expectation_value": -62.93741987431329, "params": [[[1.5164, -0.0021000000000000003], [0.49510000000000004, 0.0018000000000000002], [0.4323, -0.0014], [-0.3936, 1.4057000000000002], [0.0038, 0.43420000000000003], [0.0028, 0.4999], [-0.0009000000000000001, 1.5714000000000001], [0.8228000000000001... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(4) @ Z(0)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(7)) + 9.0 * Z(0) + 5.0 * Z(1) + 2.5 * Z(3) + 13.0 * Z(2) + -5.5 * Z(4) + 4.0 * Z(5) + 7.0 * Z(6) + 7.0 * Z(7) + 9.0 * Z(8) | 15 | 9 | 2 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["010111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(1.5164) q[0];
ry(0.4951) q[1];
ry(0.4323) q[2];
ry(-0.3936) q[3];
ry(0.0038) q[4];
ry(0.0028) q[5];
ry(-0.0009) q[6];
ry(0.8228) q[7];
ry(1.2919) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
31633d4810748a20f84bd55ea330508c | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"sour... | {"states": [252, 255], "expectation_value": -14.046317938523355, "params": null, "bitstrings": ["00000011", "00000000"], "total_optimization_steps": 100, "probabilities": [0.12514584125950057, 0.5130468516309931], "optimization_time": 212.6314458847046} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(0)) + 1.0 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -3.0 * (Z(2) @ Z(3)) + -2.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(2)) + -1.5... | 1 | 8 | 1 | {"smallest_eigenvalues": [-19.5, -19.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -18.5, "smallest_bitstrings": ["00000000", "00000011"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
cry(1.5708) q[2], q[3];
ry(1.0258) q[2];
cry(1.5708) q[0], q[5];
ry(1.0912) q[0];
cry(1.5708) q[0], q[1];
cry(-0.4952) q[1], q[3];
ry(-0.0271) q[3];
cry(0.227) q[0], q[3];
cry(0.4229) q[5], q[3];
... | null | {"node": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5708) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... |
f185945566c2c3ca031391a04e449c23 | 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": 4, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 7}, {"capacity": 4, "source": 1, "target": 9}, {"capac... | {"states": [512, 511], "expectation_value": -0.8227257626622559, "params": [[-0.063], [0.06280000000000001]], "bitstrings": ["0111111111", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.0015230270727606058, 0.0015610753649031896], "optimization_time": 3.16426682472229} | -1.0 * (Z(0) @ Z(6)) + -0.75 * (Z(1) @ Z(6)) + -0.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(1)) + 1.25 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(1)) + -1.25 * (Z(2) @ Z(6)) + -0.75 * (Z(8) @ Z(1)) + -1.25 * (Z(8) @ Z(7)) + -1.0 * (Z(8) @ Z(9)) + -0.25 * (Z(8) @ Z(2)) + -1.0 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(9)) + -1.0 * (Z(4) @ Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-17.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.25, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
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[6], q[0];
rz(0.126) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(0.0945) q[1];
cx q[6], q[1];
cx q[6], q[7];
rz(0.063) q[7];
cx q[6], q[7];
cx q[1], q[7];
rz(0.252) q[7];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
d0bfe0d447f987bab26261caea144ffd | 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": 0, "id": 8}, {"bipartite":... | {"states": [325, 357], "expectation_value": -100.48437234892405, "params": [[-0.008, -0.0008, 0.651, -0.0198, 0.5978, 0.5562, 0.0105, -0.0497, 0.6332, 0.030000000000000002, 0.6398], [-0.0076, 0.0162, 0.642, 0.0337, 0.2521, 0.23700000000000002, 0.0038, -0.046200000000000005, 0.638, -0.0128, 0.6354000000000001], [0.0097,... | 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(0) @ Z(5)) + 8.0 * (Z(3) @ Z(5)) + 8.0 * (Z(4) @ Z(2)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(7) @ Z(2)) + 8.0 * (Z(7) @ Z(4)) + 8.0 * (Z(6) @ Z(8)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(10) @ Z(1)) + 0.5 * Z(1) + 16.0 * Z(2) + 14.0 * Z(5) + -5.0 * Z(0) + 3.0 * Z(3) + 22.0 * Z(... | 10 | 11 | 4 | {"smallest_eigenvalues": [-127.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -109.0, "smallest_bitstrings": ["11010011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.008) q[0];
ry(-0.0008) q[1];
ry(0.651) q[2];
ry(-0.0198) q[3];
ry(0.5978) q[4];
ry(0.5562) q[5];
ry(0.0105) q[6];
ry(-0.0497) q[7];
ry(0.6332) q[8];
ry(0.03) q[9];
ry(0.6398) q[10];
cz q[10], q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
58fa04385078dcdc0b5f9361c481400a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [24, 5], "expectation_value": -1.0129926004962266, "params": [[-0.0379, -0.057, -0.0538, -0.0809], [0.0206, 0.057600000000000005, 0.0596, 0.0714]], "bitstrings": ["00111", "11010"], "total_optimization_steps": 10, "probabilities": [0.05470820547832927, 0.054708205478329316], "optimization_time": 5.9750866889... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(1) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["11010", "00111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(-0.0379) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0379) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0379) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(-0.0379) q[4];
cx q[0], q[4];
cx q[3], q[4];
rz(-0.0379) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
255f1dd604659bd35e94474fe8f5241d | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2... | {"states": [7, 47], "expectation_value": -8.303319260336295, "params": null, "bitstrings": ["1111000", "1010000"], "total_optimization_steps": 61, "probabilities": [0.11121072416847702, 0.7103220940384556], "optimization_time": 70.97644233703613} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + 2.25 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.25, "smallest_bitstrings": ["1111100", "1010000"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(-1.5708) q[2];
cry(-1.5708) q[6], q[0];
ry(1.0463) q[6];
ry(-0.5109) q[0];
cry(1.5683) q[6], q[5];
ry(1.5688) q[4];
cry(0.2799) q[5], q[6];
cry(1.4916) q[3], q[1];
cry(1.0507) q[6], q[3];
cry(0.5192) q... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... |
71484c647e22c5f994bcf8c31a14b220 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [16295, 15271], "expectation_value": -2.4194261202502143, "params": [[[2.4909000000000003, 0.008400000000000001], [2.4908, 0.0095], [2.495, 0.0016], [1.5129000000000001, 0.0015], [2.4977, 0.0036000000000000003], [2.5107, 0.0037], [2.5025, 0.0006000000000000001], [0.6667000000000001, 0.008400000000000001], [2... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(4) @ Z(3)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 1 | 14 | 1 | {"smallest_eigenvalues": [-4.7500000000000036, -4.7500000000000036], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.750000000000002, "smallest_bitstrings": ["01000100010010", "00010001011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
rx(2.4909) q[0];
rz(0.0084) q[0];
rx(2.4908) q[1];
rz(0.0095) q[1];
rx(2.495) q[2];
rz(0.0016) q[2];
rx(1.5129) q[3];
rz(0.0015) q[3];
rx(2.4977) q[4];
rz(0.0036) q[4];
rx(2.5107) q[5];
rz(0.0037) q[5];
rx(2.5025) q[6];
rz(0.0006) q[6];
rx(0.6667) q[7];
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": []} |
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