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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
f975feb577a84d57f4556f4e8a37e959 | 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}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "... | {"states": [3968, 4064], "expectation_value": -21.394065665377795, "params": null, "bitstrings": ["000001111111", "000000011111"], "total_optimization_steps": 100, "probabilities": [0.1343158389078288, 0.4049625450159731], "optimization_time": 338.61518239974976} | -2.0 * (Z(0) @ Z(2)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + -2.0 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(8)) + -3.0 * (Z(9) @ Z(8)) + -2.5 * (Z(9) @ Z(7)) + -2... | 1 | 12 | 1 | {"smallest_eigenvalues": [-29.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.0, "smallest_bitstrings": ["000000011111"]} | 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];
ry(-1.5708) q[9];
ry(-1.2796) q[11];
cry(1.5708) q[3], q[4];
cry(1.5708) q[4], q[2];
cry(1.5357) q[2], q[0];
cry(1.1916) q[2], q[3];
cry(-1.0432) q[2], q[4];
cr... | null | {"node": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(-1.5708) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];... |
-3426734599408399425 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 9, 2, 6], [1, 6, 9], [8, 0, 6, 7], [0, 3, 6], [9, 2, 1], [3, 7], [8, 2, 4, 6], [8, 2, 4, 5], [1, 4, 7], [0, 4, 5, 7], [8, 0, 2, 5], [9, 4, 7], [0, 1, 4, 5], [8, 5, 7], [3, 5], [0, 9, 3], [1, 5, 6, 7], [8, 1, 9]]} | {"states": [701, 669], "expectation_value": -3.515856067857254, "params": [1.3872, 1.3887, 0.7025, 0.7228, 0.8933000000000001, 1.3814, 0.376, 0.3438, 0.8182, 0.7859, 1.3932, 1.3969, 1.3932, 1.3933, 1.3793, 1.3865, 1.3963, 1.3854, 1.3849, 1.3874, 1.0842, 1.3887, 0.077, 0.7508, 0.16490000000000002, 0.9619000000000001, 0.... | 0.25 * (Z(8) @ Z(9)) + 0.25 * (Z(2) @ Z(9)) + 0.3333333333333333 * (Z(2) @ Z(8)) + 0.25 * (Z(6) @ Z(9)) + 0.25 * (Z(6) @ Z(8)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.5 * (Z(1) @ Z(9)) + 0.16666666666666666 * (Z(1) @ Z(8)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(0) @ Z(... | 14 | 10 | 1 | {"smallest_eigenvalues": [-4.750000000000002], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["0101100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.3872) q[0];
ry(0.7025) q[1];
ry(0.8933) q[2];
ry(0.376) q[3];
ry(0.8182) q[4];
ry(1.3932) q[5];
ry(1.3932) q[6];
ry(1.3793) q[7];
ry(1.3963) q[8];
ry(1.3849) q[9];
crx(1.0842) q[9], q[0];
crx(0.5328) q[8], q[9];
crx(0.6074) q[7], q[8];
crx(0.9469) 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": []} |
d62a0f012823c70bafc442cdcec5fdce | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, ... | {"states": [682, 683], "expectation_value": -2.7766389218570326, "params": [[1.2678, 0.0023, 1.0447, 0.0019, 1.0556, -0.0024000000000000002, 1.0362, 0.0456, 1.2726, 0.46690000000000004], [0.7055, 0.0058000000000000005, 1.0508, -0.0152, 1.0405, -0.01, 1.0763, -0.0519, 0.6851, -0.0297], [1.2125000000000001, -0.0047, 1.03... | 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(4) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.25 * (Z(7) @ Z(2)) + 0.25 * (Z(8) @ Z(2)) + 0.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(8) @ Z(2)) + 0.25 * (Z(7) @ Z(3)) + 0.25 * (Z(9) @ Z(3)) + 0.25 * (... | 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], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.3125, "smallest_bitstrings": ["1001001100", "1000101100", "0100110100", "1101000010", "0101010100", "1100100100", "1001001010", "... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.2678) q[0];
ry(0.0023) q[1];
ry(1.0447) q[2];
ry(0.0019) q[3];
ry(1.0556) q[4];
ry(-0.0024) q[5];
ry(1.0362) q[6];
ry(0.0456) q[7];
ry(1.2726) q[8];
ry(0.4669) 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": []} |
885b7cb19eefd0e369320e350d8663d4 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [674, 684], "expectation_value": -48.73643449971569, "params": [[[1.5170000000000001, 0.6218], [0.1501, 0.6138], [1.5737, 1.5636], [1.1527, 1.5651000000000002], [1.5739, 1.5675000000000001], [-1.5750000000000002, 1.3333000000000002], [1.5676, -0.029300000000000003], [1.5741, 0.1845], [-1.5691000000000002, 1.... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(2) @ Z(4)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(8) @ Z(4)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(6) @ Z(8)) + 7.5 * (Z(6) @ Z(7)) + -2.5 * Z(1) + 1.0 * Z(0) + 14.0 * Z(4) + 2.5 * Z(3) + 5.5 * Z(2) + 9.5 * Z(8) + 7.5 * Z(7) + 6.5 * Z(6) + -13.5 * Z(5) + -12.5 * Z(9) | 15 | 10 | 1 | {"smallest_eigenvalues": [-81.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.0, "smallest_bitstrings": ["0101010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.517) q[0];
ry(0.1501) q[1];
ry(1.5737) q[2];
ry(1.1527) q[3];
ry(1.5739) q[4];
ry(-1.575) q[5];
ry(1.5676) q[6];
ry(1.5741) q[7];
ry(-1.5691) q[8];
ry(1.5887) 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] 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], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
9c58c5b77a3170e613a26f379fffeef6 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 4}, {"weight": 13, "source": 0, "target": 2}, {"weight": 18, "source": 0, "target": 5}, {"weight": 2... | {"states": [119, 118], "expectation_value": -72.16630322639446, "params": [0.082, 0.4617, 0.7701, 0.002, 0.7871, 0.009300000000000001, 0.915, -0.12100000000000001, 0.039400000000000004, -0.4575, 0.7703, 0.00030000000000000003, 0.8231, 0.0246, 0.33740000000000003, 0.3664, 0.0821, 0.4485, 0.7969, 0.0004, 0.785, 0.0077, 0... | 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(2)) + 3.5 * (Z(5) @ Z(4)) + 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) @ Z(3)) + 3.5 * (Z(7) ... | 18 | 8 | 4 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.082) q[0];
rz(0.4617) q[0];
rx(0.7701) q[1];
rz(0.002) q[1];
rx(0.7871) q[2];
rz(0.0093) q[2];
rx(0.915) q[3];
rz(-0.121) q[3];
rx(0.0394) q[4];
rz(-0.4575) q[4];
rx(0.7703) q[5];
rz(0.0003) q[5];
rx(0.8231) q[6];
rz(0.0246) q[6];
rx(0.3374) q[7];
rz(0.36... | 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": []} |
e2d42d54466cad0e47a576fec07e2be9 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 4}, {"weight": 15, "source": 1, "target": 6}, {"weight": 9, "source": 2, "target": 3}, {"... | {"states": [110, 109], "expectation_value": -27.074209121470126, "params": [[-0.0388, -0.0079, 0.0106, 0.008700000000000001], [0.0603, 0.055600000000000004, 0.051300000000000005, 0.0543]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.015031252985882097, 0.01736137770241951... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ 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(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 17.0 * Z(1) + 4.0 * Z(0) + 7.5 * Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-64.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.5, "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[1], q[0];
rz(-0.3104) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.3104) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.3104) q[4];
cx q[1], q[4];
cx q[4], q[3];
rz(-0.3104) q[3];
cx q[4], 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\": 7}"} | {"circuits": [], "gradients": []} |
621c775e3dd2297f9f74eee0214c8452 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 4, "target": 5}, {"source": 4, "ta... | {"states": [38, 46], "expectation_value": -3.5466032393243427, "params": [[[0.0024000000000000002, 0.0029000000000000002], [0.0025, 0.0004], [0.0025, 0.0076], [3.1395, 0.0083], [0.0033, 0.0014], [1.6642000000000001, 0.0], [3.1446, 0.0037], [3.1395, 0.008700000000000001], [0.0029000000000000002, 0.0035]]], "bitstrings":... | 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 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["111001100", "111010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0024) q[0];
rz(0.0029) q[0];
rx(0.0025) q[1];
rz(0.0004) q[1];
rx(0.0025) q[2];
rz(0.0076) q[2];
rx(3.1395) q[3];
rz(0.0083) q[3];
rx(0.0033) q[4];
rz(0.0014) q[4];
rx(1.6642) q[5];
rz(0) q[5];
rx(3.1446) q[6];
rz(0.0037) q[6];
rx(3.1395) q[7];
rz(0.0087)... | 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": []} |
-8520937667224669731 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[8, 1], [3, 12], [8, 6], [9, 5], [9, 1], [0, 7], [10, 12], [11, 12], [9, 6], [10, 7], [9, 3], [0, 11], [2, 6], [4, 7], [10, 5], [11, 7], [11, 3], [10, 4], [9, 10], [10, 2]]} | {"states": [6980, 6982], "expectation_value": -0.07204730399639062, "params": [0.8314, 0.8327, 0.8469, 0.8486, 0.7499, 0.7438, 0.8501000000000001, 0.8507, 0.8327, 0.8336, 0.749, 0.7471, 0.8381000000000001, 0.8400000000000001, 0.7291000000000001, 0.7255, 0.7283000000000001, 0.7297, 0.7442000000000001, 0.7418, 0.8378, 0.... | 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(3) @ Z(12)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(10) @ Z(12)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(5)) + 0.5 * (Z(10) @ Z(7)) + 0.5 * (Z(11) @ Z(12)) + 0.5 * (Z(11) @ Z(3)) + 0.5... | 13 | 13 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 36, "first_excited_energy": -5.0, "smallest... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.8314) q[0];
ry(0.8469) q[1];
ry(0.7499) q[2];
ry(0.8501) q[3];
ry(0.8327) q[4];
ry(0.749) q[5];
ry(0.8381) q[6];
ry(0.7291) q[7];
ry(0.7283) q[8];
ry(0.7442) q[9];
ry(0.8378) q[10];
ry(0.8211) q[11];
ry(0.7224) q[12];
crz(0.1171) q[12], q[0];
crz(-0.130... | 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": []} |
3020331023762882190 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1], [8, 3, 5, 7], [8, 9, 4], [10, 7], [3, 6], [1, 2], [8, 1, 6], [1, 10, 4, 5], [0, 9, 10], [2, 7], [8, 0, 5], [2, 10, 5], [2, 6], [0, 9, 4, 5], [3, 4, 7], [1, 3, 5], [1, 10, 6], [2, 3, 4, 5], [9, 6], [9, 2, 4], [0, 3, 4], [9, 3], [8, 0, 10], [8, 4, 5, 7]... | {"states": [1596, 1597], "expectation_value": -6.062609060757163, "params": [3.1391, -1.0754000000000001, 3.1393, 0.9597, -0.004200000000000001, 0.0001, -0.0027, -0.994, 0.0025, 2.0408, 2.3486000000000002, -0.0025, 2.4353000000000002, -0.0021000000000000003, 2.9478, 0.0027, 3.1439000000000004, 1.1305, 0.2288, -2.8984, ... | 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(9) @ Z(1)) + 0.3333333333333333 * (Z(9) @ Z(0)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(9)) + 0.25 * (Z(6) @ Z(1)) + 0.3333333333333333 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(6) @ Z(9)) + 0.41666666666666663 * (Z(6) ... | 4 | 11 | 1 | {"smallest_eigenvalues": [-6.416666666666664], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["00111000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(3.1391) q[0];
rz(-1.0754) q[0];
rx(3.1393) q[1];
rz(0.9597) q[1];
rx(-0.0042) q[2];
rz(0.0001) q[2];
rx(-0.0027) q[3];
rz(-0.994) q[3];
rx(0.0025) q[4];
rz(2.0408) q[4];
rx(2.3486) q[5];
rz(-0.0025) q[5];
rx(2.4353) q[6];
rz(-0.0021) q[6];
rx(2.9478) 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": []} |
800f779aab5ac71650acd9af8d6964c8 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [3, 7], "expectation_value": -11.709502488858966, "params": [[[0.9266000000000001, 0.0035], [0.9424, 0.00030000000000000003], [0.9535, 0.0032], [0.8179000000000001, 0.0014], [0.7941, 0.0098], [1.5947, 0.0054], [1.5975000000000001, 0.001], [1.596, 0.0047]]], "bitstrings": ["11111100", "11111000"], "total_opti... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.9266) q[0];
rz(0.0035) q[0];
rx(0.9424) q[1];
rz(0.0003) q[1];
rx(0.9535) q[2];
rz(0.0032) q[2];
rx(0.8179) q[3];
rz(0.0014) q[3];
rx(0.7941) q[4];
rz(0.0098) q[4];
rx(1.5947) q[5];
rz(0.0054) q[5];
rx(1.5975) q[6];
rz(0.001) q[6];
rx(1.596) 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] 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] ... | {"k": 5} | {"circuits": [], "gradients": []} |
5f0d472ec5410cdf4159a3a34819a3f9 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 6}, {"capac... | {"states": [511, 383], "expectation_value": -19.322706423931507, "params": [[[-0.0128, -0.0025], [0.003, 0.0028], [-0.8106, 0.0017000000000000001], [0.28340000000000004, 0.0016], [0.0088, 0.0023], [-0.0959, 0.0024000000000000002], [0.0002, -0.0025], [0.0026000000000000003, 0.0024000000000000002], [0.0028, -0.0412], [3.... | -0.5 * (Z(0) @ Z(2)) + -1.25 * (Z(4) @ Z(0)) + -1.0 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(4)) + -1.5 * (Z(1) @ Z(6)) + -1.5 * (Z(8) @ Z(4)) + -1.75 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + 2.0 * (Z(9) @ Z(0)) + -1.5 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(6)) + -1.75 * (Z(9) @ Z(8)) + -1.25 * (Z(5) @ Z... | 15 | 10 | 2 | {"smallest_eigenvalues": [-20.25, -20.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -18.25, "smallest_bitstrings": ["1011000000", "1010000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0128) q[0];
ry(0.003) q[1];
ry(-0.8106) q[2];
ry(0.2834) q[3];
ry(0.0088) q[4];
ry(-0.0959) q[5];
ry(0.0002) q[6];
ry(0.0026) q[7];
ry(0.0028) q[8];
ry(3.1458) 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[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
339a57bb1c23f4470580bb80982f1c3f | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [74, 90], "expectation_value": -4.2703805001379695, "params": [0.30160000000000003, 0.029300000000000003, 0.3034, 0.035, 0.042, -0.171, 0.044500000000000005, -0.16590000000000002, 0.2401, 0.0001, 0.2452, 0.0019, 0.3002, 0.0466, 0.2978, 0.0218, -0.0122, 0.1875, -0.0193, 0.1837, 0.3039, 0.057, 0.3032, 0.0722, ... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(4) + -0.5 * Z(0) + -2.0 * Z(6) + -1.0 * Z(2) + -0.5 * Z(1) + -0.5 * Z(5) + 0.0 * Z(3) | 5 | 7 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.3016) q[0];
rz(0.0293) q[0];
rx(0.042) q[1];
rz(-0.171) q[1];
rx(0.2401) q[2];
rz(0.0001) q[2];
rx(0.3002) q[3];
rz(0.0466) q[3];
rx(-0.0122) q[4];
rz(0.1875) q[4];
rx(0.3039) q[5];
rz(0.057) q[5];
rx(0.0002) q[6];
rz(0.1898) q[6];
crz(0.0047) q[6], q[5];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
732c260e1c0902cbe3cb22d766daa7cc | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 3, "so... | {"states": [44, 28], "expectation_value": -9.655755307499891, "params": [-0.0041, -0.33340000000000003, -0.0054, -0.3301, -0.0049, -0.331, -0.008, -0.2989, -0.004, -0.3612, 0.0001, -0.36510000000000004, -0.0036000000000000003, -0.3496, 0.001, -0.3705, 0.2947, 0.10110000000000001, 0.28190000000000004, 0.1063, 0.3027, 0.... | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(1) @ Z(2)) + 0.6666666666666667 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) ... | 5 | 10 | 4 | {"smallest_eigenvalues": [-10.333333333333332, -10.333333333333332, -10.333333333333332, -10.333333333333332], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -9.666666666666668, "smallest_bitstrings": ["1111100011", "1111010011", "1111001010", "1111001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0041) q[0];
rz(-0.3334) q[0];
rx(-0.0049) q[1];
rz(-0.331) q[1];
rx(-0.004) q[2];
rz(-0.3612) q[2];
rx(-0.0036) q[3];
rz(-0.3496) q[3];
rx(0.2947) q[4];
rz(0.1011) q[4];
rx(0.3027) q[5];
rz(0.0311) q[5];
rx(0.3612) q[6];
rz(-0.0095) q[6];
rx(0.3817) q[... | 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": 4} | {"circuits": [], "gradients": []} |
ba516fd0ce7824e6228356c5f232cfab | kclique | adaptive_vqe | {"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": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [9, 3], "expectation_value": -28.663102579445237, "params": null, "bitstrings": ["1110110", "1111100"], "total_optimization_steps": 64, "probabilities": [0.15144164514219186, 0.6366779421152876], "optimization_time": 90.06978130340576} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + ... | 6 | 7 | 3 | {"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];
ry(5.3058) q[2];
ry(-0.037) q[3];
ry(-1.2832) q[0];
ry(-0.4488) q[1];
ry(-1.4683) q[4];
cry(-1.122) q[6], q[1];
cry(-1.5338) q[5], q[3];
ry(1.2547) q[6];
cry(-0.5436) q[6], q[2];
ry(0.6999) q[5];
cry(-0.4... | null | {"k": 5} | {"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(5.3058) 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", "... |
1809061964376855019 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 5, 6, 7], [8, 2, 3, 4], [8, 3, 5, 7], [0, 2, 5, 6, 8], [1, 3, 4], [0, 3, 4, 5]]} | {"states": [233, 489], "expectation_value": -1.4430737674522254, "params": null, "bitstrings": ["100010110", "000010110"], "total_optimization_steps": 54, "probabilities": [0.03453541809137134, 0.8533362503542257], "optimization_time": 139.5561637878418} | 0.03333333333333333 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333334 * (Z(2) @ Z(0)) + 0.03333333333333333 * (Z(5) @ Z(1)) + 0.16666666666666669 * (Z(5) @ Z(0)) + 0.08333333333333334 * (Z(5) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(1)) + 0.08333333333333334 * (Z(6) @ Z(0)) + 0.08333333333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.4833333333333334, -1.4833333333333334], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.4500000000000002, "smallest_bitstrings": ["000010110", "110000001"]} | 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(1.4745) q[3];
ry(1.0812) q[5];
ry(0.703) q[2];
cry(0.449) q[3], q[2];
cry(-0.5526) q[1], q[4];
cry(0.3264) q[3], q[5];
cry(-0.2976) q[8], q[4];
ry(0.392) q[1];
cry(-0.3925) q[2], q[4];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4745) 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] = m... |
b93e7e87e2621c92c7ba04b041c49bf3 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [117, 94], "expectation_value": -2.2743904872042395, "params": null, "bitstrings": ["10001010", "10100001"], "total_optimization_steps": 73, "probabilities": [0.07198557165048607, 0.5141276994197762], "optimization_time": 126.47597122192383} | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(6) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0) @ Z(3)) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["10100001", "01001100", "10001010"]} | 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(-1.3016) q[4], q[7];
cry(-1.3016) q[1], q[0];
ry(0.5597) q[1];
ry(-0.3955) q[0];
cry(0.794) q[1], q[3];
cry(-1.0392) q[4], q[2];
ry(0.7654) q[3];
cry(1.0347) q[1], q[5];
cry(-0.6115) q[6], q[2... | 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(-1.3016) q[4], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
b4844a241e7c75ea7eb690acd3c4c004 | graph_isomorphism | vqe | {"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": [445, 413], "expectation_value": -3.6135596959662295, "params": [0.6967, 0.08030000000000001, 0.7042, 0.201, 0.3763, 0.26890000000000003, 0.36560000000000004, 0.2735, 0.6872, 0.2348, 0.7051000000000001, 0.023, 0.7018, 0.14600000000000002, 0.39490000000000003, 0.2817, 0.683, 0.0591, 0.6896, 0.0735000000000000... | 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) ... | 18 | 9 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.6967) q[0];
rz(0.0803) q[0];
rx(0.7042) q[1];
rz(0.201) q[1];
rx(0.3763) q[2];
rz(0.2689) q[2];
rx(0.3656) q[3];
rz(0.2735) q[3];
rx(0.6872) q[4];
rz(0.2348) q[4];
rx(0.7051) q[5];
rz(0.023) q[5];
rx(0.7018) q[6];
rz(0.146) q[6];
rx(0.3949) q[7];
rz(0.281... | 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input ... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 0}, {"id": 1}], "edges": [{"source": 2, "target": 0}, {"source": 2, "target": 1}, {"source": 0, "target": 1}]}} | {"circuits": [], "gradients": []} |
2be9598749a54d45ae6c968f3644c50e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "... | {"states": [1, 7], "expectation_value": -0.06485036233456501, "params": [[-0.0477, 0.020900000000000002, 0.0303], [0.0712, 0.011000000000000001, -0.019700000000000002]], "bitstrings": ["1110", "1000"], "total_optimization_steps": 10, "probabilities": [0.0657695254707975, 0.0657695515616618], "optimization_time": 2.5048... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) + 0.25 * Z(3) | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.0, "smallest_bitstrings": ["1110", "1100", "1000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(0.0238) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0477) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0477) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0238) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0954) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
d45a5bc179495544dab1e6a4ef51a643 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [6, 68], "expectation_value": -5.472903235056413, "params": null, "bitstrings": ["1111001", "0111011"], "total_optimization_steps": 18, "probabilities": [0.07435629520385204, 0.89903260700947], "optimization_time": 16.015934467315674} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(1) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.5, "smallest_bitstrings": ["0110111", "1111100", "1011101", "1101110", "1111001", "0101111", "0111011"]} | 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[1];
ry(-1.5708) q[3];
ry(-1.4449) q[6];
ry(-1.4449) q[2];
ry(1.4384) q[4];
cry(-1.0398) q[0], q[5];
ry(0.6944) q[0];
ry(-0.451) q[5];
cry(0.4962) q[4], q[0];
cry(-0.3778) q[4], q[5];
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(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
f7f48a306b224c39407553aaba18b93b | 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}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "... | {"states": [495, 4079], "expectation_value": -19.40998373218837, "params": null, "bitstrings": ["111000010000", "000000010000"], "total_optimization_steps": 100, "probabilities": [0.0456812802519923, 0.41208536738947776], "optimization_time": 244.26236820220947} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + 1.0 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + -2.0 * (Z(10) @ Z(8)) + 1.0 * (Z(11) @ Z(9)) + -2.0 * (Z(11) @ Z(8))... | 1 | 12 | 1 | {"smallest_eigenvalues": [-26.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.5, "smallest_bitstrings": ["000000010000"]} | 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];
cry(1.5706) q[8], q[10];
cry(1.5708) q[10], q[11];
cry(1.2391) q[11], q[8];
cry(1.5708) q[10], q[9];
cry(-0.7997) q[9], q[10];
ry(-0.1352) q[10];
cry(0.1818) q[... | null | {"node": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(1.5706) q[8], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measur... |
b9d77147a8075a3ab2c92d83b9a01aff | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "so... | {"states": [13, 15], "expectation_value": -0.09330886280481863, "params": [[0.0736], [-0.07200000000000001]], "bitstrings": ["10010", "10000"], "total_optimization_steps": 10, "probabilities": [0.03392608400003884, 0.03452684151417271], "optimization_time": 1.0343432426452637} | -0.25 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + -0.5 * Z(4) + 1.0 * Z(1) + 0.25 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["10000", "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];
cx q[3], q[0];
rz(-0.0368) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(0.0736) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(-0.1104) q[1];
cx q[3], q[1];
cx q[4], q[1];
rz(-0.0736) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(-0.0736) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(x1) q[4];
cx q[0], ... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
ac7de9b534c44f645a9242250b63cfd7 | community_detection | 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": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 5}, {"weight": 1, "source": 2, "target... | {"states": [42597, 22938], "expectation_value": -0.10470794778830754, "params": [[0.1693], [-0.16690000000000002]], "bitstrings": ["0101100110011010", "1010011001100101"], "total_optimization_steps": 20, "probabilities": [2.3001799151848956e-05, 2.3001799151848966e-05], "optimization_time": 13.350701093673706} | 0.25 * (Z(0) @ Z(1)) + 8.680555555555556e-05 * (Z(2) @ Z(0)) + 8.680555555555556e-05 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00013020833333333333 * (Z(4) @ Z(0)) + -0.00078125 * (Z(4) @ Z(2)) + 0.00013020833333333333 * (Z(5) @ Z(1)) + -0.00078125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0009548611111111111 * (Z(6... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0112847222221815], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0112847222221686, "smallest_bitstrings": ["1010011001100101"]} | 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[1], q[0];
rz(0.0847) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0) q[3];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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]... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
531e4441eff4c5873b966bf834cf52d8 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [255, 127], "expectation_value": -0.23243141066056286, "params": [[0.0665], [-0.0678]], "bitstrings": ["100000000", "110000000"], "total_optimization_steps": 10, "probabilities": [0.0024487777518183438, 0.002475587229922286], "optimization_time": 3.043030023574829} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(8)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(8)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(8)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(3)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["110000000", "110001000"]} | 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(-0.0665) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(-0.0333) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0.0333) q[5];
cx q[0], q[5];
cx q[0], q[8];
rz(0.133) q[8];
cx q[0], q[8]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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": []} |
4b84faaad3bf7a7580aeb2d06aa05d30 | 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": 7, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 3}, {"weight": 18, "source": 0, "target": 6}, {"weight": 15, "source": 0, "tar... | {"states": [245, 242], "expectation_value": -26.09021179556413, "params": [[-0.025, 0.0024000000000000002], [0.068, 0.0713]], "bitstrings": ["100001010", "100001101"], "total_optimization_steps": 10, "probabilities": [0.005186633007177664, 0.0059660404353908325], "optimization_time": 4.147071599960327} | 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(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-91.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.5, "smallest_bitstrings": ["100001101"]} | 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(-0.225) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.225) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.225) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.225) q[3];
cx q[1], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
08b0cbf4dac1f991b95c2f432664a22c | community_detection | 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": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [43605, 21930], "expectation_value": -0.3714526010431287, "params": [[-0.375], [0.3713]], "bitstrings": ["0101010110101010", "1010101001010101"], "total_optimization_steps": 40, "probabilities": [6.046093508184916e-05, 6.0460935081849165e-05], "optimization_time": 24.084790468215942} | 0.25 * (Z(0) @ Z(1)) + -0.0008749999999999999 * (Z(2) @ Z(0)) + -0.0008749999999999999 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006875000000000002 * (Z(4) @ Z(0)) + -0.0008749999999999999 * (Z(4) @ Z(2)) + -0.0006875000000000002 * (Z(5) @ Z(1)) + -0.0008749999999999999 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.0229999999999575], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0229999999999526, "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];
cx q[1], q[0];
rz(-0.1875) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0007) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0007) q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[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 ... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
-3210474171396682252 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 2, 5, 9, 10, 11], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11], [1, 2, 6, 8, 9, 10], [0, 2, 3, 4, 5, 6, 7, 8, 9, 10], [0, 1, 2, 3, 5, 6, 7, 8, 10, 11], [2, 5, 8, 9, 10, 11], [2, 6, 7, 8, 9, 10, 11], [0, 1, 2, 4, 6, 7, 10, 11], [0, 1, 2, 3, 4, 5, 7, 9, 10], [2, ... | {"states": [2479, 3503], "expectation_value": -2.0609605097964847, "params": [[[3.1442, 0.0049], [1.6375000000000002, 0.0031000000000000003], [0.0766, 0.0053], [3.1437, 0.007500000000000001], [3.1444, 0.0011], [0.11470000000000001, 0.0064], [3.1445000000000003, 0.0095], [0.1343, 0.0051], [3.1395, 0.0012000000000000001]... | 0.11424963924963924 * (Z(0) @ Z(2)) + 0.12972582972582972 * (Z(5) @ Z(2)) + 0.07853535353535354 * (Z(5) @ Z(0)) + 0.1936147186147186 * (Z(9) @ Z(2)) + 0.08528138528138526 * (Z(9) @ Z(0)) + 0.10075757575757577 * (Z(9) @ Z(5)) + 0.23134920634920633 * (Z(10) @ Z(2)) + 0.10515873015873015 * (Z(10) @ Z(0)) + 0.1206349206349... | 1 | 12 | 1 | {"smallest_eigenvalues": [-2.1172077922077923], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.114826839826839, "smallest_bitstrings": ["001001010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(3.1442) q[0];
rz(0.0049) q[0];
rx(1.6375) q[1];
rz(0.0031) q[1];
rx(0.0766) q[2];
rz(0.0053) q[2];
rx(3.1437) q[3];
rz(0.0075) q[3];
rx(3.1444) q[4];
rz(0.0011) q[4];
rx(0.1147) q[5];
rz(0.0064) q[5];
rx(3.1445) q[6];
rz(0.0095) q[6];
rx(0.1343) 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": []} |
-574905830074397451 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[3, 4], [10, 4, 7], [2, 4], [0, 9, 2, 5], [1, 2, 3, 5], [9, 10], [8, 2, 3, 5], [3, 11, 5, 7], [8, 9, 2, 1], [10, 11], [8, 7], [0, 2, 3, 6], [1, 2, 5, 6], [8, 0], [1, 4, 5, 6], [0, 9, 11], [6, 7], [8, 11], [8, 1, 5, 9], [9, 2, 7], [11, 9, 3], [8, 9, 4], [9... | {"states": [3797, 3285], "expectation_value": -6.578976131999014, "params": [1.5672000000000001, -0.0021000000000000003, 1.5694000000000001, 0.005, 1.7362000000000002, 0.002, 1.3777000000000001, 0.0013000000000000002, 2.1236, -0.5319, 2.1284, 0.0082, 2.3473, -0.4728, 1.6564, -0.3534, 1.1806, 0.0035, 1.1525, 0.0022, 2.7... | 0.5 * (Z(3) @ Z(4)) + 0.3333333333333333 * (Z(10) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.25 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(10)) + 0.5 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.08333333333333333 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0... | 8 | 12 | 1 | {"smallest_eigenvalues": [-6.916666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.749999999999998, "smallest_bitstrings": ["001100101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.5672) q[0];
rz(-0.0021) q[0];
rx(1.7362) q[1];
rz(0.002) q[1];
rx(2.1236) q[2];
rz(-0.5319) q[2];
rx(2.3473) q[3];
rz(-0.4728) q[3];
rx(1.1806) q[4];
rz(0.0035) q[4];
rx(2.778) q[5];
rz(-0.002) q[5];
rx(-0.0154) q[6];
rz(-0.0016) q[6];
rx(1.5941) 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": []} |
c27e04a1b516da945dec2e0c25bb156f | 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": 4}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [1, 129], "expectation_value": -20.76327260237053, "params": [0.0022, 0.0055000000000000005, -1.5976000000000001, 0.0059, 0.0025, 0.0041, -0.0025, 0.0027, -0.0024000000000000002, 0.004, -0.0025, 0.0051, -0.0024000000000000002, 0.0037, -0.0025, 0.007500000000000001, 3.1445000000000003, 0.0092, 0.0086, 0.0005,... | -0.5 * (Z(0) @ Z(4)) + -1.75 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(0)) + -1.0 * (Z(1) @ Z(6)) + -0.5 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + 2.0 * (Z(8) @ Z(0)) + -1.0 * (Z(8) @ Z(1)) + -2.5 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(6)) + -1.0 * (Z(2) @ Z(7)) + -1.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(... | 3 | 9 | 1 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.25, "smallest_bitstrings": ["101111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0022) q[0];
rz(0.0055) q[0];
rx(-1.5976) q[1];
rz(0.0059) q[1];
rx(0.0025) q[2];
rz(0.0041) q[2];
rx(-0.0025) q[3];
rz(0.0027) q[3];
rx(-0.0024) q[4];
rz(0.004) q[4];
rx(-0.0025) q[5];
rz(0.0051) q[5];
rx(-0.0024) q[6];
rz(0.0037) q[6];
rx(-0.0025) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
26d7f56e59bfdf48052023802b40605b | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 3, "target": 4}, {"source": 4, "target": 1}]} | {"states": [26333, 15214], "expectation_value": -5.947950439481206, "params": [[0.36260000000000003], [-0.38370000000000004]], "bitstrings": ["001100100100010", "100010010010001"], "total_optimization_steps": 40, "probabilities": [0.0009754857410541925, 0.0009754857410541926], "optimization_time": 137.47335410118103} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 1 | 15 | 1 | {"smallest_eigenvalues": [-8.750000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.749999999999998, "smallest_bitstrings": ["100010010010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] 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];
cx q[1], q[0];
rz(0.3626) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3626) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3626) q[2];
cx q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[15] c;
qubit[15] 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];
cx q[1], q[0]... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
9ca90d519cf4db5abcb4a0b360e430b3 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [126, 110], "expectation_value": -73.23726306797367, "params": [-0.002, -0.4874, 0.002, 0.6422, 1.0024, -0.0118, 0.9805, 0.24480000000000002, 0.47540000000000004, 0.32080000000000003, 0.9944000000000001, 0.0328, 0.7894, 0.16770000000000002, 1.0031, 0.1945, 0.45080000000000003, 0.30810000000000004, -0.0045000... | 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(3) @ Z(6)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(8) @ Z(2)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(0) @ Z(7)) + -4.5 * Z(1) + 14.5 * Z(2) + 10.5 * Z(4) + 12.0 * Z(6) + ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-85.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["110010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.002) q[0];
rz(-0.4874) q[0];
rx(0.002) q[1];
rz(0.6422) q[1];
rx(1.0024) q[2];
rz(-0.0118) q[2];
rx(0.9805) q[3];
rz(0.2448) q[3];
rx(0.4754) q[4];
rz(0.3208) q[4];
rx(0.9944) q[5];
rz(0.0328) q[5];
rx(0.7894) q[6];
rz(0.1677) q[6];
rx(1.0031) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
5138809986347533163 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 4, 6], [1, 2], [4, 5], [0, 4]]} | {"states": [36, 37], "expectation_value": -1.5782185634749097, "params": null, "bitstrings": ["1011011", "1011010"], "total_optimization_steps": 46, "probabilities": [0.23244638246725458, 0.28051907423554023], "optimization_time": 54.71273183822632} | 0.08333333333333333 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.125 * Z(3) + 0.125 * Z(1... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.75, -1.75, -1.75, -1.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["0010100", "1100010", "1011010", "1010011"]} | 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(-1.0342) q[4], q[5];
ry(0.9138) q[4];
cry(-1.367) q[4], q[0];
ry(-0.6219) q[5];
cry(-1.0342) q[1], q[2];
ry(0.8239) q[1];
cry(0.3677) q[1], q[4];
ry(-0.5558) q[2];
cry(0.4472) q[4], q[1];
cry(-0.3178)... | 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(-1.0342) q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
-6678582832506776969 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 1], [2, 4], [0, 7], [1, 7], [1, 6], [1, 2], [9, 3], [1, 3], [8, 4], [9, 2], [8, 0], [8, 3], [0, 1], [3, 5], [9, 5], [0, 4], [1, 4], [3, 7], [2, 5], [8, 5], [0, 6], [8, 7], [1, 5], [9, 6], [9, 4], [5, 7]]} | {"states": [259, 263], "expectation_value": -0.2604543604237727, "params": [0.636, 0.6695, 0.8799, 0.8313, 0.622, 0.6361, 0.604, 0.6031000000000001, 0.6692, 0.6839000000000001, 0.6525000000000001, 0.6613, 0.6894, 0.6629, 0.7326, 0.8369000000000001, 0.8878, 0.8846, 0.8216, 0.8279000000000001, 0.8813000000000001, 0.87820... | 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100000011", "1001111000", "0110000111", "0100000111", "0011101110", "0001111100", "1011111000", "1110000011", "0011111100", "11... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.636) q[0];
ry(0.8799) q[1];
ry(0.622) q[2];
ry(0.604) q[3];
ry(0.6692) q[4];
ry(0.6525) q[5];
ry(0.6894) q[6];
ry(0.7326) q[7];
ry(0.8878) q[8];
ry(0.8216) q[9];
crx(0.8813) q[9], q[0];
crx(0.744) q[8], q[9];
crx(0.2469) q[7], q[8];
crx(0.8811) 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": []} |
67f2dc7231d0bca43ec43f13d2867d44 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2},... | {"states": [0, 31], "expectation_value": -2.2798094312618815, "params": [[-0.06470000000000001], [0.0632]], "bitstrings": ["11111111111", "11111100000"], "total_optimization_steps": 10, "probabilities": [0.0008403033562594639, 0.0009036725591232129], "optimization_time": 0.8821406364440918} | -2.5 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 1.0 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + -3.0 * (Z(5) @ Z(1)) + 1.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(2)) + -3.0 * (Z(5) @ Z(4)) + -1.5 *... | 1 | 11 | 1 | {"smallest_eigenvalues": [-29.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.5, "smallest_bitstrings": ["11111100000"]} | 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[1], q[0];
rz(0.3235) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.1294) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.3235) q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(-0.0647) ... | 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[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[1], ... | {"node": 1} | {"circuits": [], "gradients": []} |
f7e92575e65685640cf7c9d8993714e1 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5},... | {"states": [3, 1791], "expectation_value": -9.714584440803767, "params": [-0.0043, 1.229, 0.3204, 0.167, -0.1404, 0.5191, -0.49360000000000004, 0.36010000000000003, 0.36360000000000003, 0.8273, 0.3024, 0.8811, -0.5174, 0.31270000000000003, 0.060500000000000005, 0.7559, -0.5637, 0.317, -0.0297, 0.7742, -0.5657, 0.3829, ... | -2.0 * (Z(0) @ Z(3)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(5)) + -2.0 * (Z(8) @ Z(7)) + -1.0 * (Z(9) @ Z(10)) + 0.5 * Z(3) + 0.5 * Z(0) +... | 6 | 11 | 2 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["00100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0043) q[0];
rz(1.229) q[0];
rx(-0.1404) q[1];
rz(0.5191) q[1];
rx(0.3636) q[2];
rz(0.8273) q[2];
rx(-0.5174) q[3];
rz(0.3127) q[3];
rx(-0.5637) q[4];
rz(0.317) q[4];
rx(-0.5657) q[5];
rz(0.3829) q[5];
rx(-0.572) q[6];
rz(0.5862) q[6];
rx(-0.5615) 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] x11;
input float[64] x12;
inp... | {"node": 11} | {"circuits": [], "gradients": []} |
e2004c192cc4561952e6868751ba0522 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 8}, {"sour... | {"states": [396, 392], "expectation_value": -4.629140536782844, "params": [[[0.8535, 0.003], [0.9009, 0.0021000000000000003], [0.0024000000000000002, 0.46730000000000005], [-0.0012000000000000001, -0.4559], [0.7224, 0.056900000000000006], [0.8348, 0.0056], [0.7476, -0.043000000000000003], [0.001, 0.4753], [-0.0027, 0.4... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -5.0, "smallest_bitstrings": ["101011011", "101010111", "001110111", "110101011", "101100111", "110100111", "101101011", "110011011", "001111101", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.8535) q[0];
rz(0.003) q[0];
rx(0.9009) q[1];
rz(0.0021) q[1];
rx(0.0024) q[2];
rz(0.4673) q[2];
rx(-0.0012) q[3];
rz(-0.4559) q[3];
rx(0.7224) q[4];
rz(0.0569) q[4];
rx(0.8348) q[5];
rz(0.0056) q[5];
rx(0.7476) q[6];
rz(-0.043) q[6];
rx(0.001) 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": []} |
5bfd79024282ae69c62758a244a2de56 | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [41, 44], "expectation_value": -2.9963046695352116, "params": null, "bitstrings": ["010110", "010011"], "total_optimization_steps": 20, "probabilities": [0.0670646542080499, 0.9295035146573057], "optimization_time": 13.175533533096313} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["010011", "010101", "010110"]} | 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[1];
ry(-1.4449) q[4];
ry(1.4449) q[2];
ry(1.4449) q[0];
cry(-1.0398) q[3], q[5];
ry(0.6944) q[3];
ry(-0.451) q[5];
cry(0.4963) q[2], q[3];
cry(-0.3778) q[2], q[5];
cry(0.2518) q[0], q[3];
cry(-0.149... | 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[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... |
460c923df83f30f22def2c9af8610a90 | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [98, 67], "expectation_value": -4.4965155484111925, "params": null, "bitstrings": ["0011101", "0111100"], "total_optimization_steps": 26, "probabilities": [0.06700896400155715, 0.9297460623239685], "optimization_time": 26.22137141227722} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -1.0 * Z(3) + -0.5 * Z(6) + -1.5 * Z(2) + -1.0 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["0110110", "0111100", "0011101", "0001111", "1110010"]} | 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];
ry(-1.5681) q[2];
ry(-1.4449) q[3];
ry(1.4449) q[0];
ry(1.4417) q[5];
cry(-1.0398) q[6], q[1];
ry(0.7022) q[6];
ry(-0.4578) q[1];
cry(0.497) q[0], q[6];
cry(-0.3761) q[0], q[1];
cry(0.24... | 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[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", ... |
9313084cc492e2aab2fbf1a94b6f25bf | 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": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [127, 95], "expectation_value": -0.7191423292313699, "params": [[0.0656, 0.06770000000000001, 0.0367], [-0.0606, -0.0727, -0.046700000000000005]], "bitstrings": ["10000000", "10100000"], "total_optimization_steps": 10, "probabilities": [0.006729218436207212, 0.006979368507025264], "optimization_time": 4.5418... | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(1) @ Z(6)) + 1.0 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["10110110", "10100110", "10100010", "10100000"]} | 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[2], q[0];
rz(-0.0328) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.0656) q[3];
cx q[0], q[3];
cx q[2], q[6];
rz(-0.0328) q[6];
cx q[2], q[6];
cx q[6], q[1];
rz(-0.0656) q[1];
cx q[6], q[1];
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": []} |
fc080107649a6d17dcb56ee14364c80b | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}, {"weight": 1, "... | {"states": [2709, 1386], "expectation_value": -0.007421224907453538, "params": [[0.055400000000000005], [-0.0449]], "bitstrings": ["010101101010", "101010010101"], "total_optimization_steps": 10, "probabilities": [0.0002515616884533268, 0.00025156168845332687], "optimization_time": 7.028115510940552} | 0.25 * (Z(0) @ Z(1)) + -0.0011718750000000002 * (Z(2) @ Z(0)) + -0.0011718750000000002 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.00078125 * (Z(4) @ Z(0)) + -0.00078125 * (Z(4) @ Z(2)) + -0.00078125 * (Z(5) @ Z(1)) + -0.00078125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0005859375000000001 * (Z(6) @ Z(0)) + 0.0005859... | 1 | 12 | 1 | {"smallest_eigenvalues": [-1.5169921874999996, -1.5169921874999996], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5107421875000004, "smallest_bitstrings": ["010101101010", "101010010101"]} | 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[1], q[0];
rz(0.0277) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0001) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0001) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
7e799239f8573f120a2c5e15cda2e88f | edge_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": 1}, {"source": 1, "target": 4}]} | {"states": [12, 8], "expectation_value": -0.12264782538825349, "params": [[0.0407, 0.0383, 0.067], [-0.030600000000000002, -0.0234, -0.0459]], "bitstrings": ["0011", "0111"], "total_optimization_steps": 10, "probabilities": [0.06956433076175532, 0.07001529908343557], "optimization_time": 1.9320030212402344} | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + -0.75 * Z(1) + -0.75 * Z(2) + -0.25 * Z(0) + -1.0 * Z(3) | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["0111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[1];
rz(0.0204) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.0204) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0204) q[0];
cx q[2], q[0];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.0204) q[0];
cx q[1], q[0];
cx q[2], q[1];
cx 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
28550855a20366800e3fd917bf6489e0 | 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": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [17, 1], "expectation_value": -5.062217743352777, "params": null, "bitstrings": ["11101110", "11111110"], "total_optimization_steps": 27, "probabilities": [0.15063236032211283, 0.6761288203102811], "optimization_time": 25.352816581726074} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(5)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000000", "11111110", "11100110", "11101110"]} | 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(-1.5486) q[7], q[0];
ry(1.035) q[7];
ry(-0.4546) q[0];
ry(-1.5039) q[6];
ry(-1.5696) q[5];
ry(-1.5299) q[1];
ry(-1.4553) q[2];
ry(-1.4442) q[4];
cry(0.3186) q[3], q[7];
cry(-0.2529) q[3], q[0]... | 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];\ncry(-1.5486) q[7], 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] = me... |
b4844a241e7c75ea7eb690acd3c4c004 | graph_isomorphism | 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": [427, 245], "expectation_value": -2.4419223187692536, "params": [[-0.0714, -0.0753, -0.0695, -0.0424], [0.0717, 0.076, 0.07490000000000001, 0.0635]], "bitstrings": ["001010100", "100001010"], "total_optimization_steps": 10, "probabilities": [0.007675248339619103, 0.007675248339619104], "optimization_time": 1... | 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"]} | 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[0], q[2];
rz(-0.0714) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(-0.0714) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(-0.0714) q[1];
cx q[2], q[1];
cx q[2], q[5];
rz(-0.0714) q[5];
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] 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 ... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 0}, {"id": 1}], "edges": [{"source": 2, "target": 0}, {"source": 2, "target": 1}, {"source": 0, "target": 1}]}} | {"circuits": [], "gradients": []} |
-3464214293046695915 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3, 4], [1, 3, 5, 6, 7], [0, 1, 2, 4, 5, 6, 7], [0, 1, 2, 3, 6, 7, 8], [0, 1, 2, 3, 5, 7, 8], [1, 2, 3, 4, 5, 6], [8, 2, 5, 6], [8, 3, 5, 6]]} | {"states": [413, 366], "expectation_value": -0.9859686257143874, "params": [[-0.37370000000000003], [0.3541]], "bitstrings": ["001100010", "010010001"], "total_optimization_steps": 40, "probabilities": [0.0048562985775735526, 0.004875442777384979], "optimization_time": 51.53496074676514} | 0.21428571428571427 * (Z(0) @ Z(3)) + 0.19999999999999998 * (Z(4) @ Z(3)) + 0.19047619047619047 * (Z(4) @ Z(0)) + 0.13095238095238096 * (Z(1) @ Z(3)) + 0.07142857142857142 * (Z(1) @ Z(0)) + 0.05714285714285714 * (Z(1) @ Z(4)) + 0.19047619047619047 * (Z(5) @ Z(3)) + 0.047619047619047616 * (Z(5) @ Z(0)) + 0.0571428571428... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.8047619047619046], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7714285714285714, "smallest_bitstrings": ["010010001"]} | 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(-0.1602) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(-0.1495) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.1424) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(-0.0979) q[1];
cx q[3], 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": []} |
-7215287267589527026 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 6], [9, 7], [0, 9], [1, 4], [2, 4], [8, 3], [0, 5], [0, 10], [1, 11]]} | {"states": [1479, 455], "expectation_value": -0.13543883797785797, "params": [0.6877, -0.09190000000000001, 0.6844, 0.0027, 0.7332000000000001, 0.0204, 0.7332000000000001, 0.0039000000000000003, 0.7309, -0.048600000000000004, 0.729, 0.0037, 0.8663000000000001, -0.007500000000000001, 0.8654000000000001, 0.0047, 0.8459, ... | 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(10) @ Z(0)) + 0.5 * (Z(11) @ Z(1)) + 0.0 * Z(6) + 0.0 * Z(9) + 0.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(8) + 0.0... | 7 | 12 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -3.5, "smallest_bitstrings": ["000011001111", "011001001110", "000111000111", "111000111000", "100110110001", "111100110000", "100010111001", "011101000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.6877) q[0];
rz(-0.0919) q[0];
rx(0.7332) q[1];
rz(0.0204) q[1];
rx(0.7309) q[2];
rz(-0.0486) q[2];
rx(0.8663) q[3];
rz(-0.0075) q[3];
rx(0.8459) q[4];
rz(0.0016) q[4];
rx(0.8861) q[5];
rz(-0.0012) q[5];
rx(0.6888) q[6];
rz(0.0903) q[6];
rx(0.6823) 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": []} |
70084b84ab6bcd1923895c004533d5a8 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, ... | {"states": [65, 21], "expectation_value": -2.7285641186974385, "params": [[-0.3457], [0.3708]], "bitstrings": ["0111110", "1101010"], "total_optimization_steps": 40, "probabilities": [0.0356100831702707, 0.036509190350642075], "optimization_time": 1.77095627784729} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + -1.0 * Z(5) + -1.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["1110001", "1001011", "1010011", "1101001", "1101010"]} | 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(-0.3457) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.3457) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.3457) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(-0.3457) q[3];
cx q[2], q[3];
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;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2]... | null | {"circuits": [], "gradients": []} |
7649588842338433581 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 4, 6, 7], [8, 1, 3, 4], [1, 4, 6, 7], [0, 1, 3, 7, 8], [0, 2, 4, 6, 7], [8, 2], [8, 5, 6], [8, 1, 6], [8, 1, 3, 5], [0, 2, 3, 4, 6], [4, 5], [1, 2, 3, 4, 7], [8, 4, 6], [0, 5, 7], [3, 5, 6]]} | {"states": [303, 311], "expectation_value": -3.6700612679976437, "params": null, "bitstrings": ["011010000", "011001000"], "total_optimization_steps": 54, "probabilities": [0.07779214461068265, 0.854723094467997], "optimization_time": 147.01118850708008} | 0.26666666666666666 * (Z(3) @ Z(4)) + 0.43333333333333335 * (Z(6) @ Z(4)) + 0.3 * (Z(6) @ Z(3)) + 0.26666666666666666 * (Z(7) @ Z(4)) + 0.18333333333333335 * (Z(7) @ Z(3)) + 0.21666666666666667 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(4)) + 0.21666666666666667 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.05 * (Z(8) @ Z(7)) + 0.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.8000000000000016], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.716666666666668, "smallest_bitstrings": ["011001000"]} | 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(1.57) q[6];
ry(1.4745) q[3];
ry(1.1976) q[7];
cry(-1.1736) q[4], q[5];
cry(-1.0239) q[8], q[2];
ry(1.0153) q[8];
cry(-0.6906) q[6], q[2];
cry(0.4108) q[6], q[8];
cry(-0.9623) q[8], q[1]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.57) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... |
87ba346715d7ffd469182fcb7e9830c2 | 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": 4, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6... | {"states": [19, 17], "expectation_value": -16.023942414274988, "params": null, "bitstrings": ["1101100", "1101110"], "total_optimization_steps": 38, "probabilities": [0.42315890257289124, 0.5338802164598142], "optimization_time": 28.820628881454468} | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + 2.25 * (Z(6) @ Z(0)) + -1.75 * (Z(6) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -2.75 * Z(1) + -0.25 * Z(0) + 4.0 * Z(2) + 1.75 * Z(4) + 0.5 * Z(6) + -1.75 * Z(3) + -1... | 1 | 7 | 3 | {"smallest_eigenvalues": [-16.5, -16.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.5, "smallest_bitstrings": ["1101100", "1101110"]} | 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(1.2796) q[2];
cry(1.5708) q[2], q[6];
cry(-1.5708) q[6], q[0];
ry(-1.5708) q[1];
ry(-0.9755) q[3];
cry(-0.0456) q[6], q[3];
cry(-0.0561) q[2], q[3];
ry(-1.5707) q[4];
cry(-0.4949) q[5], q[3];
cry(0.056... | 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(1.2796) 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", "... |
3c8bd33161699cb22d1ae18a511877e9 | 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": 12, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 5}, {"weight": 12, "source": 0, "tar... | {"states": [252, 244], "expectation_value": -22.031445807466223, "params": [[0.0223, 0.0043], [-0.0639, -0.0634]], "bitstrings": ["100000011", "100001011"], "total_optimization_steps": 10, "probabilities": [0.00472775305677307, 0.005463826461453288], "optimization_time": 3.691323757171631} | 4.5 * (Z(0) @ Z(3)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-85.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "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[3], q[0];
rz(0.2007) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.2007) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(0.2007) q[1];
cx q[0], q[1];
cx q[3], q[2];
rz(0.2007) q[2];
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[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
5553213675099766051 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 3, 4], [1, 2, 5], [1, 2, 3], [0, 2, 4, 5], [0, 2, 3, 5], [0, 1, 3, 4, 5]]} | {"states": [59, 58], "expectation_value": -0.9518769202396149, "params": [2.644, 0.0068000000000000005, 2.636, 0.0058000000000000005, 2.6395, 0.0076, 1.5285, 0.0047, 2.3838, 0.0074, 1.5289000000000001, 0.0014, 0.0032, 0.0015, 0.0022, 0.0039000000000000003, 0.009000000000000001], "bitstrings": ["000100", "000101"], "tot... | 0.41666666666666663 * (Z(2) @ Z(3)) + 0.21666666666666667 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.21666666666666667 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(1) @ Z(2)) + 0.05 * (Z(1) @ Z(4)) + 0.13333333333333333 * (Z(5) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(4)) + 0.21666666... | 3 | 6 | 1 | {"smallest_eigenvalues": [-1.6166666666666671], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5333333333333332, "smallest_bitstrings": ["000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(2.644) q[0];
rz(0.0068) q[0];
rx(2.636) q[1];
rz(0.0058) q[1];
rx(2.6395) q[2];
rz(0.0076) q[2];
rx(1.5285) q[3];
rz(0.0047) q[3];
rx(2.3838) q[4];
rz(0.0074) q[4];
rx(1.5289) q[5];
rz(0.0014) q[5];
crz(0.009) q[5], q[4];
crz(0.0039) q[4], q[3];
crz(0.0022)... | 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]... | null | {"circuits": [], "gradients": []} |
7362d2422475c4ddbe12db67086ced55 | 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": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [65, 73], "expectation_value": -5.038508402934012, "params": [0.0855, 0.05, 0.4027, -0.0008, 0.0835, 0.0755, 0.1563, -0.055400000000000005, 0.39890000000000003, -0.003, -0.0055000000000000005, 0.1789, 0.0611, 0.17070000000000002, 0.4015, 0.0036000000000000003, 0.0853, 0.023100000000000002, 0.405, -0.0032, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) ... | 4 | 8 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.5, "smallest_bitstrings": ["10111100", "11000111", "10110110", "10100111", "01111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0855) q[0];
rz(0.05) q[0];
rx(0.4027) q[1];
rz(-0.0008) q[1];
rx(0.0835) q[2];
rz(0.0755) q[2];
rx(0.1563) q[3];
rz(-0.0554) q[3];
rx(0.3989) q[4];
rz(-0.003) q[4];
rx(-0.0055) q[5];
rz(0.1789) q[5];
rx(0.0611) q[6];
rz(0.1707) q[6];
rx(0.4015) 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": []} |
b10e647670f759bc4f3dd1387515cbab | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [20, 22], "expectation_value": -2.587089630535175, "params": [[[0.197, -0.031400000000000004], [0.7096, -0.09380000000000001], [-0.1587, -0.1056], [0.48560000000000003, 0.3519], [0.27640000000000003, 0.7043], [0.2081, 0.7087]], [[-0.0388, -0.1043], [0.7065, 0.006500000000000001], [-0.1988, 0.0109], [0.6976, ... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(1) + -0.5 * Z(4) | 15 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["101001", "001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(0.197) q[0];
ry(0.7096) q[1];
ry(-0.1587) q[2];
ry(0.4856) q[3];
ry(0.2764) q[4];
ry(0.2081) q[5];
cx q[5], q[0];
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(-0.0314) q[0];
ry(-0.0938) q[1];
ry(-0.1056) q[2];
ry(0.3519) 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": []} |
2094f2acbed5b66731131105b770d25b | 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": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [14, 15], "expectation_value": -4.009725621198801, "params": [0.13870000000000002, -0.18660000000000002, 0.1317, -0.194, -0.0047, 0.1968, -0.0045000000000000005, 0.19290000000000002, 0.0004, 0.20270000000000002, -0.006200000000000001, 0.19740000000000002, -0.004200000000000001, 0.20400000000000001, 0.0001, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + -1.0 * Z(0) + 0.0 * Z(5) + -1.0 * Z(7) + -... | 5 | 8 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["11110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.1387) q[0];
rz(-0.1866) q[0];
rx(-0.0047) q[1];
rz(0.1968) q[1];
rx(0.0004) q[2];
rz(0.2027) q[2];
rx(-0.0042) q[3];
rz(0.204) q[3];
rx(0.4081) q[4];
rz(0.0743) q[4];
rx(0.3987) q[5];
rz(0.1181) q[5];
rx(0.3961) q[6];
rz(0.0264) q[6];
rx(0.3988) 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": []} |
0b0b04a33d6e01f6b27fc13148d89a51 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [378, 362], "expectation_value": -62.15087950990069, "params": [1.4015, 0.3891, 0.5879, 0.7221000000000001, 1.4043, 0.0664, 1.3996000000000002, 0.41500000000000004, 0.8188000000000001, 0.5071, 1.4052, 0.3551, -0.0077, 0.7593000000000001, 1.3961000000000001, 0.21580000000000002, 0.003, 0.8465, 1.3908, 0.008, ... | 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(3) @ Z(0)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(8) @ Z(7)) + 5.0 * Z(1) + 9.0 * Z(2) + 14.5 * Z(0) + 10.0 * Z(3) + 11.5 * Z(4) + 14.0 * Z(5) + -1.5 * Z(6) + 12.5... | 18 | 9 | 2 | {"smallest_eigenvalues": [-75.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.4015) q[0];
rz(0.3891) q[0];
rx(0.5879) q[1];
rz(0.7221) q[1];
rx(1.4043) q[2];
rz(0.0664) q[2];
rx(1.3996) q[3];
rz(0.415) q[3];
rx(0.8188) q[4];
rz(0.5071) q[4];
rx(1.4052) q[5];
rz(0.3551) q[5];
rx(-0.0077) q[6];
rz(0.7593) q[6];
rx(1.3961) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
177860aeb0336e4d74e733a089b052c3 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [32509, 32445], "expectation_value": -19.423259527910464, "params": [-0.0039000000000000003, -0.0033, 1.1347, 1.4045, 1.3982, 1.7483000000000002, 1.5673000000000001, 1.5692000000000002, 1.4360000000000002, 1.7105000000000001, 1.7155, 1.4221000000000001, 1.5685, 1.5688, 0.0213, -0.0146, 1.9477, 1.1994, 2.1845... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.25 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(... | 14 | 16 | 1 | {"smallest_eigenvalues": [-20.499999999999876], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.49999999999987, "smallest_bitstrings": ["1000000101000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(-0.0039) q[0];
ry(1.1347) q[1];
ry(1.3982) q[2];
ry(1.5673) q[3];
ry(1.436) q[4];
ry(1.7155) q[5];
ry(1.5685) q[6];
ry(0.0213) q[7];
ry(1.9477) q[8];
ry(2.1845) q[9];
ry(1.6831) q[10];
ry(1.591) q[11];
ry(1.2083) q[12];
ry(1.5638) q[13];
ry(1.6457) q[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[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}], "edges": [{"source": 2, "target": 3}, {"source": 2, "target": 1}, {"source": 3, "target": 1}]}} | {"circuits": [], "gradients": []} |
085ba3cf225b4dcc60b5adb0a9ccfea4 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [490, 426], "expectation_value": -68.41731283377902, "params": [0.38830000000000003, 0.29250000000000004, 0.9028, -0.0018000000000000002, 0.9061, 0.031900000000000005, 0.4838, 0.29450000000000004, 0.8953000000000001, 0.0007, 0.004200000000000001, -0.48350000000000004, 0.8952, 0.24700000000000003, 0.0056, 0.5... | 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(9) @ Z(4)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(9)) + 4.0 * Z(0) + 14.5 * Z(2) + 22.0 * Z(1) + 9.0 * Z(3) + 7.5 * Z(4) + -4.0 * Z(5)... | 18 | 10 | 3 | {"smallest_eigenvalues": [-93.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "smallest_bitstrings": ["1001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.3883) q[0];
rz(0.2925) q[0];
rx(0.9028) q[1];
rz(-0.0018) q[1];
rx(0.9061) q[2];
rz(0.0319) q[2];
rx(0.4838) q[3];
rz(0.2945) q[3];
rx(0.8953) q[4];
rz(0.0007) q[4];
rx(0.0042) q[5];
rz(-0.4835) q[5];
rx(0.8952) q[6];
rz(0.247) q[6];
rx(0.0056) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
bb51b85a8f0cca1e878093cb2d4e9f25 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [7, 11], "expectation_value": -0.21106589395518482, "params": [[-0.07390000000000001], [0.0707]], "bitstrings": ["111000", "110100"], "total_optimization_steps": 10, "probabilities": [0.01730861016787432, 0.01730861016787432], "optimization_time": 1.1148626804351807} | 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 | 1 | {"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];
cx q[1], q[0];
rz(-0.0739) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0739) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0739) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0739) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[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(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2]... | null | {"circuits": [], "gradients": []} |
a81a167158580bb999f8e68ace712ae9 | 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": 1}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1... | {"states": [122, 63], "expectation_value": -5.127794985485924, "params": null, "bitstrings": ["0000101", "1000000"], "total_optimization_steps": 52, "probabilities": [0.20957780762037564, 0.7042868365108161], "optimization_time": 50.67445087432861} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + 0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * Z(1) + -0.25 * Z(0) + 1.25 * Z(2) + -0.75 * Z(3) + -0.25 * Z(4) + -0.25 * Z(6) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1000000"]} | 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(1.5706) q[2];
ry(1.5486) q[1];
cry(1.5681) q[2], q[5];
cry(1.4449) q[6], q[4];
cry(1.5482) q[1], q[3];
cry(1.1758) q[4], q[6];
cry(-1.3013) q[6], q[0];
cry(0.35) q[1], q[0];
cry(-0.5362) q[4], q[0];
ry... | 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(1.5706) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
984069cd50d39f7e5d4b40fb03f5527d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 2}, {"weight": 20, "source": 1, "target": 4}, {"weight": 16, "source": 1, "target": 5}, ... | {"states": [246, 118], "expectation_value": -56.28464527127878, "params": [0.5407000000000001, 0.319, 1.0724, -0.0024000000000000002, 1.0607, -0.0036000000000000003, 1.0742, 0.1704, 0.2665, 0.4978, 1.0723, -0.0155, 1.075, 0.1686, 0.4167, 0.3639, 0.5417000000000001, 0.2939, 1.0673000000000001, -0.015600000000000001, 1.0... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 9.0 * Z(0) + 14.0 * Z(2) + 16.0 * Z(3) + 4... | 18 | 8 | 3 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.5407) q[0];
rz(0.319) q[0];
rx(1.0724) q[1];
rz(-0.0024) q[1];
rx(1.0607) q[2];
rz(-0.0036) q[2];
rx(1.0742) q[3];
rz(0.1704) q[3];
rx(0.2665) q[4];
rz(0.4978) q[4];
rx(1.0723) q[5];
rz(-0.0155) q[5];
rx(1.075) q[6];
rz(0.1686) q[6];
rx(0.4167) 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[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
6af884d627ee37a45c35f4c485ec07d5 | 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": 1, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [21, 61], "expectation_value": -3.9949433671033607, "params": null, "bitstrings": ["1101010", "1000010"], "total_optimization_steps": 38, "probabilities": [0.24539137776393896, 0.7475135603386809], "optimization_time": 29.300775051116943} | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(5)) + -1.25 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * Z(5) + -0.25 * Z(0) + 0.5 * Z(6) + 0.25 * Z(3) + -0.25 * Z(1) + -0.25 * Z(4) + 0.5 * Z(2) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1101110", "1101010", "1000010", "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];
cry(1.5486) q[1], q[3];
cry(1.2165) q[3], q[1];
ry(1.4449) q[2];
ry(1.4449) q[6];
cry(-1.5481) q[6], q[0];
ry(-1.5154) q[5];
cry(1.2992) q[2], q[4];
cry(0.2335) q[3], q[4];
cry(0.0966) q[4], q[2];
cry(0.0... | 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];\ncry(1.5486) q[1], 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]... |
a90bff6c3a417e74e2fa1e262b24b3f8 | 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": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [18, 50], "expectation_value": -2.9984756045358623, "params": [[[-0.002, 0.9776, 0.0085, 0.0081], [0.0019, 0.9363, 1.4189, 0.0018000000000000002], [1.4895, -0.046, 1.4935, 0.006500000000000001], [1.0676, 1.46, 1.0556, 0.007500000000000001], [1.4997, 0.0016, -1.4913, 0.005], [1.5007000000000001, -0.0033, 1.50... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(0) + -0.25 * Z(1) + 0.0 * Z(2) + -0.25 * Z(3)... | 11 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["1100101", "1001101", "1101001", "1010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(-0.002) q[0];
rz(0.9776) q[0];
ry(0.0019) q[1];
rz(0.9363) q[1];
ry(1.4895) q[2];
rz(-0.046) q[2];
ry(1.0676) q[3];
rz(1.46) q[3];
ry(1.4997) q[4];
rz(0.0016) q[4];
ry(1.5007) q[5];
rz(-0.0033) q[5];
ry(0.0027) q[6];
rz(0.0004) q[6];
cx q[1], q[0];
cx 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": []} |
9b6c90aee56ab84919f7c826e678a024 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 4}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 2, "target": 1}, {"source": 2, "target": 4}, {"source": 1, "target": 4}, {"source": 4, "target": 3}]} | {"states": [23531, 23467], "expectation_value": -8.92192460031833, "params": [[[1.5659, -0.0024000000000000002, 0.00030000000000000003, 0.0031000000000000003], [0.0, 0.0152, 0.19110000000000002, 0.0031000000000000003], [0.9868, -0.0014, 0.0035, -0.0044], [0.0022, 0.1836, 1.0485, 0.0026000000000000003], [0.0023, -0.7004... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 12 | 15 | 2 | {"smallest_eigenvalues": [-9.499999999999988], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.499999999999986, "smallest_bitstrings": ["010010001010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
ry(1.5659) q[0];
rz(-0.0024) q[0];
ry(0) q[1];
rz(0.0152) q[1];
ry(0.9868) q[2];
rz(-0.0014) q[2];
ry(0.0022) q[3];
rz(0.1836) q[3];
ry(0.0023) q[4];
rz(-0.7004) q[4];
ry(0.0067) q[5];
rz(0.0009) q[5];
ry(0.813) q[6];
rz(0.0025) q[6];
ry(0.219) q[7];
rz(0.05... | 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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
00118ab6930cdbf8ae812be8d2492bc7 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [1834, 1886], "expectation_value": -1.1230100969043981, "params": [[[0.09570000000000001, -0.1268, 0.005200000000000001, 0.0076], [0.2157, 0.22360000000000002, 0.4968, 0.023200000000000002], [0.0884, -0.0252, 0.0145, 0.1463], [0.2132, 0.0007, 0.2806, -0.37210000000000004], [0.2449, 0.1661, 0.0674, 0.2126], [... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(5) @ Z(2) @ Z(3)) + -0.125 * (Z(5) @ Z(2) @ Z(4)) + -0.125 * (Z(5) @ Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(2) @ Z(3... | 11 | 12 | 4 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875], "number_of_smallest_eig... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0957) q[0];
rz(-0.1268) q[0];
ry(0.2157) q[1];
rz(0.2236) q[1];
ry(0.0884) q[2];
rz(-0.0252) q[2];
ry(0.2132) q[3];
rz(0.0007) q[3];
ry(0.2449) q[4];
rz(0.1661) q[4];
ry(0.1423) q[5];
rz(0.2385) q[5];
ry(0.4514) q[6];
rz(-0.0377) q[6];
ry(0.0455) 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... | null | {"circuits": [], "gradients": []} |
f7c0ee1d4c77af9b2736662ef168c92d | connected_components | 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": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [0, 24], "expectation_value": -10.216140601566298, "params": null, "bitstrings": ["11111", "00111"], "total_optimization_steps": 26, "probabilities": [0.1544529029734748, 0.6944471198783908], "optimization_time": 10.63685655593872} | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.5 * Z(3) + -1.5 * Z(2) + -1.5 * Z(4) | 5 | 5 | 1 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["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];
ry(-1.5708) q[4];
ry(-1.5577) q[3];
ry(-0.233) q[2];
cry(-1.3378) q[1], q[2];
cry(-0.6689) q[0], q[2];
cry(1.5405) q[1], q[0];
cry(1.1999) q[0], q[1];
cry(-0.3107) q[2], q[0];
cry(-0.0068) q[0], q[3];
ry(-0.0484) q[1];
c... | null | {"node": 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(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
8aba1fe819f1a606a1aaa6ea801e6056 | 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": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [133, 165], "expectation_value": -4.809892648206657, "params": [0.2984, 0.0006000000000000001, 0.305, 0.0008, 0.0256, 0.17980000000000002, 0.018600000000000002, 0.1825, 0.2702, 0.0112, 0.26980000000000004, 0.0409, -0.014700000000000001, -0.1587, -0.016900000000000002, -0.1612, -0.0032, 0.1443, -0.0098, 0.148... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + -1.5 * Z(1) + -1.0 * Z(0) + -2.0 *... | 7 | 8 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["01011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.2984) q[0];
rz(0.0006) q[0];
rx(0.0256) q[1];
rz(0.1798) q[1];
rx(0.2702) q[2];
rz(0.0112) q[2];
rx(-0.0147) q[3];
rz(-0.1587) q[3];
rx(-0.0032) q[4];
rz(0.1443) q[4];
rx(0.3002) q[5];
rz(0.0499) q[5];
rx(0.0862) q[6];
rz(0.1342) q[6];
rx(0.3061) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
504aff5065c6904e02914f6b44da8a9c | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 6, "source": 2, "target": 3}, {"capaci... | {"states": [3, 15], "expectation_value": -7.689657391094376, "params": null, "bitstrings": ["111100", "110000"], "total_optimization_steps": 47, "probabilities": [0.14579950848333692, 0.7379678494460287], "optimization_time": 39.649362564086914} | -1.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(2)) + -1.0 * Z(1) + -0.25 * Z(0) + 1.5 * Z(4) + 0.25 * Z(5) + 0.0 * Z(2) + -0.5 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["111100", "110000"]} | 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[4];
cry(1.5708) q[3], q[2];
ry(0.9995) q[3];
ry(0.4143) q[2];
cry(1.5681) q[1], q[5];
cry(-1.5681) q[5], q[0];
cry(0.4161) q[2], q[3];
ry(0.2767) q[5];
cry(-1.7331) q[5], q[1];
cry(0.5159) q[4], q[5]... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
-2144301067303883569 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 4, 5], [0, 3, 4, 7], [1, 2, 3, 4, 7], [0, 4, 5, 6], [1, 4, 6], [3, 6, 7], [1, 2, 5], [0, 1, 2, 3, 7], [1, 3, 5]]} | {"states": [233, 205], "expectation_value": -2.200052315901309, "params": null, "bitstrings": ["00010110", "00110010"], "total_optimization_steps": 43, "probabilities": [0.03742981766529297, 0.9272909826331259], "optimization_time": 73.88729953765869} | 0.21666666666666667 * (Z(2) @ Z(4)) + 0.25 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.05 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.13333333333333333 * (Z(3) @ Z(4)) + 0.1 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.13333333333333333 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.2333333333333343], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.2333333333333334, "smallest_bitstrings": ["00110010"]} | 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(1.5385) q[1];
ry(1.4157) q[4];
ry(1.0615) q[7];
cry(-0.8241) q[5], q[2];
ry(0.6214) q[5];
cry(-0.5184) q[4], q[2];
cry(0.565) q[1], q[5];
cry(-0.8115) q[7], q[6];
cry(0.3865) q[1], q[7];
cry(-0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5385) 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[... |
af93264774047777e82ba65bd04531e0 | 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": [473, 345], "expectation_value": -48.73881511564943, "params": [1.2257, 0.003, 2.311, 0.0025, 1.5419, 0.0095, 2.2986, 0.006900000000000001, 1.2710000000000001, 0.0073, 2.31, 0.0027, 2.3019000000000003, 0.0037, 1.2194, 0.0024000000000000002, 0.0022, 0.0045000000000000005, 2.3008, 0.008400000000000001, 0.00240... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(3) @ Z(1)) + 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(4) @ Z(1)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(6) @ Z(2)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(5) @ Z(7)) + 6.0 * (Z(8) @ Z(5)) + 6.0 * (Z(9) @ Z(0)) + 2.0 * Z(0) + 16.0 * Z(1) + 12.0 * Z(3) + 4.0 * Z(2) + 2.5 * Z(4) + 16.0 * Z(6)... | 18 | 10 | 1 | {"smallest_eigenvalues": [-95.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.0, "smallest_bitstrings": ["1010100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.2257) q[0];
rz(0.003) q[0];
rx(2.311) q[1];
rz(0.0025) q[1];
rx(1.5419) q[2];
rz(0.0095) q[2];
rx(2.2986) q[3];
rz(0.0069) q[3];
rx(1.271) q[4];
rz(0.0073) q[4];
rx(2.31) q[5];
rz(0.0027) q[5];
rx(2.3019) q[6];
rz(0.0037) q[6];
rx(1.2194) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
a8c99ad184c02bf7f13319ba9d22eb58 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"sour... | {"states": [0, 15], "expectation_value": -15.394012951783466, "params": [0.0014, 0.8773000000000001, -0.002, 0.6352, 0.004, 0.9464, 0.0038, 0.859, -0.010100000000000001, 1.0875000000000001, 0.0022, 1.0769, -0.0068000000000000005, 0.304, 0.0001, 0.7441, 0.6468, 1.202, -0.042100000000000005, 1.0391000000000001, -0.5375, ... | 1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(4)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + -2.0 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + 1.5 * Z... | 6 | 8 | 4 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["11110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0014) q[0];
rz(0.8773) q[0];
rx(0.004) q[1];
rz(0.9464) q[1];
rx(-0.0101) q[2];
rz(1.0875) q[2];
rx(-0.0068) q[3];
rz(0.304) q[3];
rx(0.6468) q[4];
rz(1.202) q[4];
rx(-0.5375) q[5];
rz(-0.1527) q[5];
rx(0.3864) q[6];
rz(1.4208) q[6];
rx(-0.3654) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 0} | {"circuits": [], "gradients": []} |
ebed2b2f1ddd19051c3f8f1e6db408b8 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": []} | {"states": [413, 245], "expectation_value": -0.8168049548373681, "params": [[-0.025500000000000002, -0.028800000000000003, -0.033800000000000004, -0.061200000000000004], [0.023100000000000002, 0.024200000000000003, 0.0304, 0.0538]], "bitstrings": ["001100010", "100001010"], "total_optimization_steps": 10, "probabilitie... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"]} | 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(-0.0255) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0255) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.0255) q[1];
cx q[0], q[1];
cx q[0], q[3];
rz(-0.0255) q[3];
cx q[0], 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] 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 ... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": []}} | {"circuits": [], "gradients": []} |
5a12fc3b9ebd59a3b68795f0bd90935e | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [12, 50], "expectation_value": -1.532378113804602, "params": [[0.0756, 0.0776, 0.07060000000000001, 0.0693], [-0.0665, -0.07350000000000001, -0.0626, -0.058100000000000006]], "bitstrings": ["110011", "001101"], "total_optimization_steps": 10, "probabilities": [0.03306991302332818, 0.039583645292237665], "opt... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -1.0 * Z(1) + -0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["001101"]} | 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[2], q[0];
rz(0.0756) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.0756) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(0.0756) q[5];
cx q[0], q[5];
cx q[3], q[5];
rz(0.0756) q[5];
cx q[3], q[5];
cx q[2], q[1];
rz(0.0756... | 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": []} |
1c92797ebdc5766ffafd498d21cf8a8a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": ... | {"states": [34, 12], "expectation_value": -0.3309574982614082, "params": [[0.054400000000000004, 0.031, 0.0177], [-0.0487, -0.0351, -0.0223]], "bitstrings": ["011101", "110011"], "total_optimization_steps": 10, "probabilities": [0.018200067495800224, 0.018707819256554965], "optimization_time": 3.69895339012146} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(5) + -0.5 * Z(1) + -1.0 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["111100", "001111", "101011", "110011", "101110", "011101"]} | 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[2], q[0];
rz(0.0544) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.0544) q[3];
cx q[0], q[3];
cx q[2], q[5];
rz(0.0544) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.0544) q[5];
cx q[0], q[5];
cx q[3], q[5];
rz(0.0544... | 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": []} |
a73d5144e4a0dbb06df04c44f8a80ad3 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4},... | {"states": [0, 799], "expectation_value": -27.519044395721927, "params": [-0.0045000000000000005, 2.2133000000000003, -0.0007, -0.2597, 0.0159, 0.8812000000000001, -0.1092, 0.6462, 0.3136, -0.036000000000000004, -0.4989, 1.5705, -0.0021000000000000003, 2.3489, 0.0007, 1.1922000000000001, -0.0033, 1.2388000000000001, 0.... | 1.5 * (Z(0) @ Z(3)) + -2.5 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(8)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + -2.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(7)) + -1.5 * (Z(10) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -... | 6 | 11 | 2 | {"smallest_eigenvalues": [-31.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["10011100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0045) q[0];
rz(2.2133) q[0];
rx(0.0159) q[1];
rz(0.8812) q[1];
rx(0.3136) q[2];
rz(-0.036) q[2];
rx(-0.0021) q[3];
rz(2.3489) q[3];
rx(-0.0033) q[4];
rz(1.2388) q[4];
rx(0.0032) q[5];
rz(-0.3966) q[5];
rx(-0.2579) q[6];
rz(0.3586) q[6];
rx(-0.9141) 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input fl... | {"node": 0} | {"circuits": [], "gradients": []} |
9c58c5b77a3170e613a26f379fffeef6 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [25, 49], "expectation_value": -2.7965032293558947, "params": [[0.23470000000000002, 0.45580000000000004, 0.5559000000000001], [-0.5001, -0.23, -0.16920000000000002]], "bitstrings": ["100110", "001110"], "total_optimization_steps": 60, "probabilities": [0.1122889775618538, 0.11228897756185388], "optimization... | 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(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + 0.0 * Z(1) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001110", "100110"]} | 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[2], q[0];
rz(0.2347) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.2347) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.2347) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(0.2347) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.2347... | 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": []} |
159cd19d829ee4ab847c9545b38e61cb | 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": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, ... | {"states": [331, 843], "expectation_value": -2.3961573795538396, "params": [[0.6851, 1.1007, 0.0879, 1.1002, 0.4481, -0.0284, 1.0659, -0.0026000000000000003, 1.0996000000000001, 0.9101], [0.1713, 0.6681, 0.079, 0.9518000000000001, 0.44780000000000003, 0.0269, 1.0671000000000002, -0.0025, 0.6608, 0.0849], [1.1048, 1.102... | 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(4) @ Z(3)) + -0.25 * (Z(0) @ Z(4) @ Z(3)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(3) @ Z(5) @ Z(6)) + 0.125 * (Z(1) @ Z(7)... | 10 | 10 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.5, "smallest_bitstrings": ["0010110100", "1000110100", "1010010100", "1000011100", "0011000110", "0100110100", "1000010101", "0011010100", "1000001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.6851) q[0];
ry(1.1007) q[1];
ry(0.0879) q[2];
ry(1.1002) q[3];
ry(0.4481) q[4];
ry(-0.0284) q[5];
ry(1.0659) q[6];
ry(-0.0026) q[7];
ry(1.0996) q[8];
ry(0.9101) 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[... | 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": []} |
9c58c5b77a3170e613a26f379fffeef6 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 4}, {"weight": 13, "source": 0, "target": 2}, {"weight": 18, "source": 0, "target": 5}, {"weight": 2... | {"states": [231, 118], "expectation_value": -28.194612110105133, "params": null, "bitstrings": ["00011000", "10001001"], "total_optimization_steps": 100, "probabilities": [0.07864466703615744, 0.08762589898821103], "optimization_time": 157.74576830863953} | 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(2)) + 3.5 * (Z(5) @ Z(4)) + 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) @ Z(3)) + 3.5 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "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];
ry(9.9081) q[3];
ry(6.5925) q[2];
ry(38.2322) q[6];
ry(18.5827) q[5];
ry(55.6749) q[1];
cry(10.6699) q[6], q[2];
cry(-26.8295) q[6], q[3];
cry(63.6719) q[3], q[5];
cry(-16.3896) q[6], q[5];
ry(-3.... | 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(9.9081) 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[... |
59c7bf586b1b6ff0483e10c6bee5d678 | kclique | adaptive_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": [38, 7], "expectation_value": -12.815613227508058, "params": null, "bitstrings": ["1011001", "1111000"], "total_optimization_steps": 61, "probabilities": [0.1500372955345014, 0.5932610212698615], "optimization_time": 82.60743188858032} | 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 ... | 18 | 7 | 2 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1111000"]} | 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(-1.4894) q[0];
cry(-1.5708) q[5], q[2];
cry(-1.5704) q[6], q[3];
ry(1.5708) q[4];
cry(-1.5707) q[6], q[1];
ry(0.5205) q[6];
ry(0.6596) q[5];
ry(-0.5022) q[3];
cry(-0.3088) q[4], q[2];
cry(0.4749) q[4],... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) 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", ... |
a3571c19d72a014065614d323aff3379 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [29, 30], "expectation_value": -3.9998990634532334, "params": null, "bitstrings": ["100010", "100001"], "total_optimization_steps": 25, "probabilities": [1.641445737550844e-05, 0.9999303761353144], "optimization_time": 18.76922631263733} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(3) + -1.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100001"]} | 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(-1.4449) q[5];
ry(1.4449) q[3];
ry(1.4449) q[1];
ry(1.4417) q[2];
ry(1.4417) q[4];
cry(-0.1259) q[4], q[5];
cry(0.1217) q[1], q[2];
cry(0.1216) q[2], q[4];
cry(0.1188) q[2], q[3];
cry(0.1186)... | 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... |
2cf21e97a82630236d89d22bffeb5611 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"sour... | {"states": [0, 163], "expectation_value": -3.3432411053232625, "params": [0.329, 0.0008, 0.1835, 0.0039000000000000003, 0.6117, 0.0024000000000000002, 0.6079, 0.0089, 0.6007, 0.0002, 0.37870000000000004, 0.0081, 0.6104, 0.0029000000000000002, 0.6014, 0.0092, 0.6016, -0.0031000000000000003, 0.5977, 0.001, 0.597, -0.0031... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + -0.5 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(4) + ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.5, "smallest_bitstrings": ["101101001", "101011100", "101101100", "101011001", "100011110", "111100001", "111100100", "100101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.329) q[0];
rz(0.0008) q[0];
rx(0.6117) q[1];
rz(0.0024) q[1];
rx(0.6007) q[2];
rz(0.0002) q[2];
rx(0.6104) q[3];
rz(0.0029) q[3];
rx(0.6016) q[4];
rz(-0.0031) q[4];
rx(0.597) q[5];
rz(-0.0031) q[5];
rx(0.6052) q[6];
rz(-0.0022) q[6];
rx(0.609) 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": []} |
600a12ed8acc1493d24fddbcbeff68c8 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capac... | {"states": [594, 83], "expectation_value": -13.167828609209794, "params": null, "bitstrings": ["0110101101", "1110101100"], "total_optimization_steps": 64, "probabilities": [0.116207758584159, 0.6788593783388926], "optimization_time": 119.40330600738525} | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(8) @ Z(2)) + -1.25 * (Z(8) @ Z(5)) + -0.5 * (Z(8) @ Z(3)) + 2.25 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(3)) + -0.5 * (Z(9) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -13.0, "smallest_bitstrings": ["1111111110", "1110101100", "1110101000", "1110100000"]} | 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];
ry(-1.5708) q[1];
cry(-1.5706) q[9], q[0];
ry(1.1441) q[9];
ry(-1.5708) q[2];
ry(-0.5355) q[0];
cry(1.5689) q[5], q[8];
cry(1.5693) q[8], q[3];
cry(1.1909) q[3], q[5];
cry(0.3139... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[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... |
305cc5dd5b277c9d8e7c7144880cc230 | 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": [151, 1174], "expectation_value": -98.95168167638431, "params": [[[1.5727, 0.25370000000000004], [0.11220000000000001, 0.2543], [0.0727, -0.0756], [1.5766, 1.5779], [-1.5427000000000002, 1.5773000000000001], [-1.5299, 1.5749], [1.5768, 1.5751000000000002], [1.5773000000000001, 1.5752000000000002], [1.5779, 1... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(5) @ Z(3)) + 8.0 * (Z(8) @ Z(1)) + 8.0 * (Z(6) @ Z(8)) + 8.0 * (Z(4) @ Z(6)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(10) @ Z(0)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(9) @ Z(10)) + 4.5 * Z(1) + 9.5 * Z(0) + -5.0 * Z(2) + 8.0 * Z(3) + -4.5 * Z(5) + 14.5 * Z(... | 15 | 11 | 1 | {"smallest_eigenvalues": [-126.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -103.0, "smallest_bitstrings": ["01101101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.5727) q[0];
ry(0.1122) q[1];
ry(0.0727) q[2];
ry(1.5766) q[3];
ry(-1.5427) q[4];
ry(-1.5299) q[5];
ry(1.5768) q[6];
ry(1.5773) q[7];
ry(1.5779) q[8];
ry(1.5762) q[9];
ry(1.58) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"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": []} |
0baf743d2b6cfc8b6e600b5313918496 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 3}, {"capaci... | {"states": [1, 15], "expectation_value": -5.675579468999118, "params": null, "bitstrings": ["111110", "110000"], "total_optimization_steps": 37, "probabilities": [0.17610784862410456, 0.6204813298798018], "optimization_time": 26.639753341674805} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.0 * Z(4) + 0.25 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["110000"]} | 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[1];
cry(-1.5681) q[5], q[0];
ry(1.1029) q[5];
ry(-0.5495) q[0];
cry(1.5626) q[4], q[3];
cry(1.2298) q[3], q[4];
cry(1.5486) q[3], q[2];
cry(0.3619) q[2], q[5];
ry(-0.4373) q[2];
cry(0.4548) q[4], q[... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) 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... |
26b0c21f43e0914291253fccea754cb4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 6, "source": 2, "target": 4}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [1, 29], "expectation_value": -5.767227565510623, "params": [[-0.1441, -0.1051, -0.10690000000000001], [0.1749, 0.1489, 0.1631]], "bitstrings": ["111110", "100010"], "total_optimization_steps": 20, "probabilities": [0.11812022371113239, 0.15199302185152164], "optimization_time": 2.6592841148376465} | -1.5 * (Z(0) @ Z(4)) + -2.0 * (Z(1) @ Z(3)) + -1.5 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + -2.75 * Z(4) + -0.25 * Z(0) + 0.5 * Z(3) + 0.5 * Z(1) + 0.75 * Z(2) + 1.25 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-10.5, -10.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.5, "smallest_bitstrings": ["100010", "101010"]} | 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[4], q[0];
rz(0.4323) q[0];
cx q[4], q[0];
cx q[3], q[1];
rz(0.5764) q[1];
cx q[3], q[1];
cx q[4], q[2];
rz(0.4323) q[2];
cx q[4], q[2];
cx q[3], q[2];
rz(0.2162) q[2];
cx q[3], q[2];
cx q[4], q[5];
rz(0.0721... | 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": []} |
e104f31aaff273b4fa5fa538ba3fde4a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "s... | {"states": [65, 1], "expectation_value": -0.5530906636789094, "params": [[0.08030000000000001], [-0.08750000000000001]], "bitstrings": ["110111110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0028206851953399767, 0.0029576357269909823], "optimization_time": 2.5960872173309326} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(2) @ Z(6)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(5)) + 1.75 * (Z(8) @ Z(0... | 1 | 9 | 1 | {"smallest_eigenvalues": [-9.5, -9.5, -9.5, -9.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.5, "smallest_bitstrings": ["111111110", "110101110", "110111110", "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[1], q[0];
rz(-0.0803) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.0803) q[3];
cx q[0], q[3];
cx q[1], q[6];
rz(-0.0803) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz(-0.0803) q[6];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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": []} |
1745009073758707951 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 8], [0, 3], [0, 6], [9, 11], [1, 4], [2, 7], [8, 2], [0, 5], [8, 4], [3, 5], [0, 4], [11, 3], [9, 10], [8, 3], [3, 4], [8, 6], [5, 6], [10, 4], [2, 4], [9, 6], [10, 5], [4, 5], [8, 10], [11, 5], [8, 11], [9, 2], [2, 6], [4, 7], [0, 11], [10, 7], [6, 7... | {"states": [3970, 3843], "expectation_value": -8.111643293507097, "params": null, "bitstrings": ["000001111101", "000011111100"], "total_optimization_steps": 100, "probabilities": [0.03421959955909817, 0.8967223153401893], "optimization_time": 1373.969315290451} | 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(11) @ Z(8)) + 0.5 * (Z(11) @ Z(0)) + 0.5 * (Z(11) @ Z(3)) + 0.5 * (Z(11) @ Z(6)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (... | 1 | 12 | 1 | {"smallest_eigenvalues": [-8.5, -8.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.5, "smallest_bitstrings": ["111100000011", "000011111100"]} | 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];
cry(-1.0342) q[5], q[6];
cry(-1.0342) q[11], q[4];
ry(1.3762) q[1];
ry(1.3762) q[2];
cry(-0.7716) q[2], q[6];
cry(-0.7716) q[2], q[4];
ry(1.4777) q[11];
cry(-1.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(-1.0342) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measur... |
f77dd16494069058366da267be47f963 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, ... | {"states": [51, 58], "expectation_value": -0.6615141631139823, "params": [[-0.0016, -0.045700000000000005, -0.0592, -0.047900000000000005], [-0.06520000000000001, 0.0148, 0.057800000000000004, 0.0604]], "bitstrings": ["1001100", "1000101"], "total_optimization_steps": 10, "probabilities": [0.011782667526373141, 0.01207... | 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(4) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -2.0 * Z(4) + -0.5 * Z(5) + -0.5 * Z(3) + 0.0 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000101", "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];
cx q[1], q[0];
rz(-0.0016) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0016) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.0016) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.0016) q[4];
cx q[0], q[4];
cx q[2], 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": []} |
ec86dd03f1bc9f7a5980c14449900d15 | 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": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, ... | {"states": [0, 1], "expectation_value": -5.299825697108741, "params": [[[-0.0033, 0.0088], [0.0026000000000000003, 0.009600000000000001], [0.0026000000000000003, 0.0071], [0.0023, 0.0073], [1.1579000000000002, 0.0021000000000000003], [0.0023, 0.0081], [0.0027, 0.0067], [1.604, 0.0017000000000000001]]], "bitstrings": ["... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(2)) + -0.75 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(4) @ ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-6.75, -6.75, -6.75, -6.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.75, "smallest_bitstrings": ["11111110", "11111100", "11110110", "11110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0033) q[0];
rz(0.0088) q[0];
rx(0.0026) q[1];
rz(0.0096) q[1];
rx(0.0026) q[2];
rz(0.0071) q[2];
rx(0.0023) q[3];
rz(0.0073) q[3];
rx(1.1579) q[4];
rz(0.0021) q[4];
rx(0.0023) q[5];
rz(0.0081) q[5];
rx(0.0027) q[6];
rz(0.0067) q[6];
rx(1.604) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
9ccd9f6529d5a9ac74541f04b00ec686 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "s... | {"states": [255, 1], "expectation_value": -0.34717152503907783, "params": [[0.0635], [-0.0489]], "bitstrings": ["100000000", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0024290035375531425, 0.0025124092588254686], "optimization_time": 2.8557684421539307} | -0.75 * (Z(0) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(6)) + -0.75 * (Z(1) @ Z(7)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(4) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-11.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["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[5], q[0];
rz(-0.0953) q[0];
cx q[5], q[0];
cx q[0], q[6];
rz(-0.0635) q[6];
cx q[0], q[6];
cx q[0], q[7];
rz(-0.0318) q[7];
cx q[0], q[7];
cx q[6], q[7];
rz(-0.0953) q[7];
cx q[6], q[... | 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[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
-9083996112783762460 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 7], [2, 5, 6], [8, 3], [1, 5], [1, 2], [2, 4], [0, 4], [1, 3, 6], [0, 5, 6], [0, 6, 7], [8, 4], [4, 6]]} | {"states": [455, 335], "expectation_value": -1.894796642642404, "params": [[0.4797], [-0.3806]], "bitstrings": ["000111000", "010110000"], "total_optimization_steps": 50, "probabilities": [0.018070193383291043, 0.018091046291936766], "optimization_time": 1.9866831302642822} | 0.5 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(7)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.5 * (Z(8) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.166... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.000000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["010110000"]} | 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[7], q[3];
rz(0.4797) q[3];
cx q[7], q[3];
cx q[5], q[2];
rz(0.1599) q[2];
cx q[5], q[2];
cx q[7], q[6];
rz(0.1599) q[6];
cx q[7], q[6];
cx q[3], q[6];
rz(0.1599) q[6];
cx q[3], q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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[7], q[3];
rz(x0) q[3];
cx q[7], q[3];
cx q[5], q[2];
rz(x1) q[2... | null | {"circuits": [], "gradients": []} |
4ff6cd3ae35a7505dd00eb5f37bcfa52 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}], "edges": [{"weight": 2, "source": 0, "target": 3}, {"weight": 8, "... | {"states": [117, 93], "expectation_value": -15.163856849246411, "params": [[0.033800000000000004], [-0.10300000000000001]], "bitstrings": ["10001010", "10100010"], "total_optimization_steps": 20, "probabilities": [0.008988444113959057, 0.009575306511546113], "optimization_time": 2.007789373397827} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(4)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 17.5 * Z(1) + -3.0 * Z(0) + 15.0 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "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(0.2704) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.2704) q[4];
cx q[1], q[4];
cx q[1], q[2];
rz(0.2704) q[2];
cx q[1], q[2];
cx q[4], q[2];
rz(0.2704) q[2];
cx q[4], q[2];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6]}"} | {"circuits": [], "gradients": []} |
1509180536527795082 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[8, 0, 11, 4], [0, 10, 3, 4], [2, 4, 6], [8, 7], [0, 3, 12], [3, 5], [8, 1, 5, 0], [9, 11]]} | {"states": [7762, 7766], "expectation_value": -2.854090054470651, "params": [1.5721, 1.5731000000000002, 1.5650000000000002, 1.5709000000000002, 1.5795000000000001, 1.556, 1.5963, 1.5409000000000002, 0.1704, 0.1716, -0.0024000000000000002, -0.0024000000000000002, 1.5770000000000002, 1.5681, 0.0022, 0.0027, 1.5749, 1.57... | 0.16666666666666666 * (Z(8) @ Z(0)) + 0.08333333333333333 * (Z(11) @ Z(0)) + 0.08333333333333333 * (Z(11) @ Z(8)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(8)) + 0.08333333333333333 * (Z(4) @ Z(11)) + 0.08333333333333333 * (Z(10) @ Z(0)) + 0.08333333333333333 * (Z(10) @ Z(4)) + 0.25 * (Z(3... | 13 | 13 | 1 | {"smallest_eigenvalues": [-2.9166666666666665, -2.9166666666666665, -2.9166666666666665, -2.9166666666666665, -2.9166666666666665], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.916666666666666, "smallest_bitstrings": ["0001001011000", "0010010100111", "0000011100111", "0000110101001", "0011000011000"... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(1.5721) q[0];
ry(1.565) q[1];
ry(1.5795) q[2];
ry(1.5963) q[3];
ry(0.1704) q[4];
ry(-0.0024) q[5];
ry(1.577) q[6];
ry(0.0022) q[7];
ry(1.5749) q[8];
ry(-0.0022) q[9];
ry(0.8523) q[10];
ry(1.5663) q[11];
ry(0.1545) q[12];
crz(0.8507) q[12], q[0];
crz(0.001... | 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": []} |
d4f5f2b94c32a6a907c70f32afb819f2 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [12, 204], "expectation_value": -2.895954573946856, "params": [0.5067, -0.001, 0.4989, 0.006900000000000001, 0.2854, 0.0476, 0.299, -0.0, 0.5038, -0.0048000000000000004, 0.5067, -0.0206, 0.3332, -0.11320000000000001, 0.09090000000000001, 0.1948, 0.5071, 0.0033, 0.5064000000000001, -0.0043, 0.2433000000000000... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(6) + -0.5 * Z(0) + -1.0 * Z(7) + -1.0 * Z(2) + -0.5 * Z(1) + -1.0 * Z(3) + -1.0 * Z(4) + -0... | 4 | 8 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["00110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.5067) q[0];
rz(-0.001) q[0];
rx(0.4989) q[1];
rz(0.0069) q[1];
rx(0.2854) q[2];
rz(0.0476) q[2];
rx(0.299) q[3];
rz(0) q[3];
rx(0.5038) q[4];
rz(-0.0048) q[4];
rx(0.5067) q[5];
rz(-0.0206) q[5];
rx(0.3332) q[6];
rz(-0.1132) q[6];
rx(0.0909) q[7];
rz(0.194... | 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": []} |
edcfb23bce20006c9068dffaa56954c6 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 9}, {"weight": 16, "source": 1, "target": 8}, {"weight"... | {"states": [551, 549], "expectation_value": -45.382104518966635, "params": [[[0.9705, 0.006500000000000001], [0.5817, 0.30360000000000004], [-0.0032, -0.6768000000000001], [0.0018000000000000002, 0.9061], [1.1984000000000001, 0.0024000000000000002], [0.0025, 0.8618], [0.0077, -0.5785], [1.2056, 0.0027], [0.7214, 0.2366... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(8) @ Z(4)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(1)) + 5.5 * (Z(9) @ Z(2)) + 5.5 * (Z(9) @ Z(4)) + 5.5 * (Z(9) @ Z(8)) + 3.5 * Z(1) + -5.0 * Z(0) + -8.0 * ... | 1 | 10 | 2 | {"smallest_eigenvalues": [-65.0, -65.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -60.0, "smallest_bitstrings": ["0111010100", "0111011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.9705) q[0];
rz(0.0065) q[0];
rx(0.5817) q[1];
rz(0.3036) q[1];
rx(-0.0032) q[2];
rz(-0.6768) q[2];
rx(0.0018) q[3];
rz(0.9061) q[3];
rx(1.1984) q[4];
rz(0.0024) q[4];
rx(0.0025) q[5];
rz(0.8618) q[5];
rx(0.0077) q[6];
rz(-0.5785) q[6];
rx(1.2056) 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[... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
5237378684268299322 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 2, 7, 9, 11], [2, 4, 8, 9, 10], [0, 3, 4, 5, 7], [8, 5], [2, 10, 11], [6, 7, 8, 11, 12], [11, 1, 10, 3], [0, 11, 12, 7], [0, 3, 5, 6, 12], [1, 2, 8, 9, 12], [10, 4, 12], [9, 2, 4, 1], [0, 8, 3], [10, 2, 5], [0, 6, 7], [3, 4, 8, 10, 11], [0, 2, 5],... | {"states": [5933, 6061], "expectation_value": -8.797794260801908, "params": [1.5684, 1.5694000000000001, 0.0703, 0.07400000000000001, 1.5692000000000002, 1.5798, 1.5691000000000002, 1.5677, 1.5864, 1.56, 0.8491000000000001, 0.8467, -0.0066, -0.0071, 1.5492000000000001, 1.5961, 0.0211, 0.019, 1.5694000000000001, 1.5665,... | 0.21666666666666667 * (Z(0) @ Z(2)) + 0.18333333333333335 * (Z(7) @ Z(2)) + 0.39999999999999997 * (Z(7) @ Z(0)) + 0.2833333333333333 * (Z(9) @ Z(2)) + 0.35 * (Z(9) @ Z(0)) + 0.3333333333333333 * (Z(9) @ Z(7)) + 0.3833333333333333 * (Z(11) @ Z(2)) + 0.35 * (Z(11) @ Z(0)) + 0.18333333333333335 * (Z(11) @ Z(7)) + 0.05 * (... | 13 | 13 | 1 | {"smallest_eigenvalues": [-9.13333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.833333333333329, "smallest_bitstrings": ["0100001010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(1.5684) q[0];
ry(0.0703) q[1];
ry(1.5692) q[2];
ry(1.5691) q[3];
ry(1.5864) q[4];
ry(0.8491) q[5];
ry(-0.0066) q[6];
ry(1.5492) q[7];
ry(0.0211) q[8];
ry(1.5694) q[9];
ry(1.5693) q[10];
ry(0.227) q[11];
ry(1.5744) q[12];
crz(-0.0016) q[12], q[0];
crz(-0.8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-1863560782430783095 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 3, 4, 6, 7, 8, 9], [0, 2, 3, 4, 6, 7, 8, 10], [1, 2, 4, 5, 7, 8, 9, 11], [1, 4, 5, 6, 7, 9], [3, 9, 11], [0, 2, 4, 5, 8, 10], [0, 4, 5, 6, 7, 8, 10, 11], [1, 2, 3, 5, 6, 7, 8, 10], [2, 3, 4, 5, 6, 8, 10, 11], [0, 1, 2, 3, 4, 7, 8, 10, 11], [0, 1, 2, 5... | {"states": [3547, 1499], "expectation_value": -3.7753778345037126, "params": [[[1.5688, 0.0036000000000000003, 0.00030000000000000003, 0.0025], [0.0025, -0.30060000000000003, 1.5738, 0.0021000000000000003], [1.1662000000000001, 0.0058000000000000005, 0.0019, 0.002], [0.0019, -0.43410000000000004, 1.5727, 0.0089], [2.79... | 0.09722222222222221 * (Z(1) @ Z(3)) + 0.1373015873015873 * (Z(4) @ Z(3)) + 0.15555555555555553 * (Z(4) @ Z(1)) + 0.13293650793650794 * (Z(6) @ Z(3)) + 0.18333333333333332 * (Z(6) @ Z(1)) + 0.19126984126984126 * (Z(6) @ Z(4)) + 0.10515873015873015 * (Z(7) @ Z(3)) + 0.2091269841269841 * (Z(7) @ Z(1)) + 0.223015873015873 ... | 12 | 12 | 1 | {"smallest_eigenvalues": [-4.008333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0059523809523805, "smallest_bitstrings": ["101000100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.5688) q[0];
rz(0.0036) q[0];
ry(0.0025) q[1];
rz(-0.3006) q[1];
ry(1.1662) q[2];
rz(0.0058) q[2];
ry(0.0019) q[3];
rz(-0.4341) q[3];
ry(2.7974) q[4];
rz(0.0016) q[4];
ry(0.0017) q[5];
rz(0.4011) q[5];
ry(0.5726) q[6];
rz(0.0027) q[6];
ry(1.2668) 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": []} |
8e4b273e62e3bdbcb042f56fe9c0bd31 | 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": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [11, 22], "expectation_value": -0.05989013190780951, "params": [[0.0626], [-0.048400000000000006]], "bitstrings": ["110100", "101001"], "total_optimization_steps": 10, "probabilities": [0.016581838210576856, 0.016581838210576856], "optimization_time": 0.9781334400177002} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["101001", "110100", "101100"]} | 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(0.0626) q[0];
cx q[1], q[0];
cx q[0], q[5];
rz(0.0626) q[5];
cx q[0], q[5];
cx q[0], q[4];
rz(0.0626) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(0.0626) q[2];
cx q[1], q[2];
cx q[5], q[3];
rz(0.0626... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[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(x0) q[0];
cx q[1], q[0];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[0], q[4];
rz(x0) q[4]... | null | {"circuits": [], "gradients": []} |
3818ce8f8ec333f1e3cdd221545ea640 | 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": 3}, {"source": 1, "target": 4}, ... | {"states": [36, 165], "expectation_value": -1.8697743093006813, "params": [[[1.5757, -0.6561], [-0.066, -0.657], [2.1117, 0.1831], [0.39640000000000003, 0.20320000000000002], [0.28350000000000003, -0.31930000000000003], [1.6307, 1.5171000000000001], [1.5531000000000001, 1.3574000000000002], [1.5744, -1.5541]]], "bitstr... | 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... | 15 | 8 | 1 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.125, "smallest_bitstrings": ["10100101", "00101101", "10000111", "01101001", "01011010", "01001011", "00011110", "10010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(1.5757) q[0];
ry(-0.066) q[1];
ry(2.1117) q[2];
ry(0.3964) q[3];
ry(0.2835) q[4];
ry(1.6307) q[5];
ry(1.5531) q[6];
ry(1.5744) q[7];
cx q[7], q[0];
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 q[1], q[2];
cx q[0], q[1];
ry(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
7131048945494205798 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 3, 5], [0, 1, 4], [1, 2, 3, 4], [3, 4, 5]]} | {"states": [27, 46], "expectation_value": -0.48355401819998595, "params": [[0.3708], [-0.36460000000000004]], "bitstrings": ["100100", "010001"], "total_optimization_steps": 40, "probabilities": [0.028928011314263508, 0.029288800871234484], "optimization_time": 1.6245803833007812} | 0.08333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.1666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0833333333333333, "smallest_bitstrings": ["010001"]} | 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[2], q[0];
rz(0.0618) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.1236) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.0618) q[3];
cx q[0], q[3];
cx q[2], q[5];
rz(0.0618) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.0618... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[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[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x1) q[3];
c... | null | {"circuits": [], "gradients": []} |
c207a7b4cd3f0efb0fa44764eec6604a | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 6, "source": 2, "target": 1}, {"capacity": 5, "source": 2, "target": 4}, {"capacity": 5, "so... | {"states": [6647, 6615], "expectation_value": -42.51519304358317, "params": [1.3981000000000001, 0.0014, 1.3972, 0.0022, 0.0028, 1.0278, 0.0028, 1.0243, 1.3927, 0.003, 1.3929, -0.0026000000000000003, 1.4029, 0.021500000000000002, 1.0636, 0.8766, 1.3193000000000001, 0.8248000000000001, 0.20670000000000002, 0.8232, 1.394... | 0.5 * (Z(0) @ Z(4)) + 2.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(0)) + 3.0 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + 6.0 * (Z(6) @ Z(5)) + 1.0 * (Z(1) @ Z(4)) + 0.8333333333333334 * (Z(1) @ Z(0)) + 2.0 * (Z(1) @ Z(5)) + 3.0 * (Z(1) @ Z(6)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(5)) + -1.5 * (Z(2) @ Z(6)) + -0.5 * (Z(10) @ ... | 18 | 13 | 2 | {"smallest_eigenvalues": [-45.33333333333333, -45.33333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -44.5, "smallest_bitstrings": ["0011000110000", "0011000101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(1.3981) q[0];
rz(0.0014) q[0];
rx(1.3972) q[1];
rz(0.0022) q[1];
rx(0.0028) q[2];
rz(1.0278) q[2];
rx(0.0028) q[3];
rz(1.0243) q[3];
rx(1.3927) q[4];
rz(0.003) q[4];
rx(1.3929) q[5];
rz(-0.0026) q[5];
rx(1.4029) q[6];
rz(0.0215) q[6];
rx(1.0636) 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[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
ee130eef56892e0a3466cb6032d4dab5 | 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": 1}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [84, 86], "expectation_value": -2.1402790112169616, "params": [0.0333, 0.0025, 1.7043000000000001, 0.0086, 1.4664000000000001, 0.0044, 1.6549, 0.0088, 0.0483, 0.0099, 1.7058, 0.0097, 1.6516000000000002, 0.0068000000000000005, 1.4734, 0.0022, 0.0017000000000000001, 0.0092, 0.0029000000000000002, 0.00450000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(6) + -0.5 * Z(7) + -1.0 * Z(4) + -0.5 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) | 3 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["01001011", "10111000", "10101001", "10011010", "10001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0333) q[0];
rz(0.0025) q[0];
rx(1.7043) q[1];
rz(0.0086) q[1];
rx(1.4664) q[2];
rz(0.0044) q[2];
rx(1.6549) q[3];
rz(0.0088) q[3];
rx(0.0483) q[4];
rz(0.0099) q[4];
rx(1.7058) q[5];
rz(0.0097) q[5];
rx(1.6516) q[6];
rz(0.0068) q[6];
rx(1.4734) 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": []} |
bcb76a333f49b2c8c8530ea62fdc7628 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [102, 118], "expectation_value": -54.44176555391368, "params": [0.4898, 0.2866, 0.9895, 0.0555, 0.9953000000000001, -0.0829, 0.6126, -0.1197, 0.001, 0.649, 0.9963000000000001, 0.0041, 0.9967, 0.1527, 0.0032, 0.6736000000000001, 0.4923, 0.2636, 0.9898, 0.0363, 0.9966, -0.07250000000000001, 0.6193000000000001,... | 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(3) @ Z(0)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(1) @ Z(3)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(6) @ Z(7)) + 10.0 * Z(0) + 16.0 * Z(2) + 11.5 * Z(3) + 18.5 * Z(1) + 10.0 * Z(5) + -2.0 * Z(4) + -4.5 * Z(7) + 3.5 * Z(6) | 18 | 8 | 3 | {"smallest_eigenvalues": [-62.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.0, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4898) q[0];
rz(0.2866) q[0];
rx(0.9895) q[1];
rz(0.0555) q[1];
rx(0.9953) q[2];
rz(-0.0829) q[2];
rx(0.6126) q[3];
rz(-0.1197) q[3];
rx(0.001) q[4];
rz(0.649) q[4];
rx(0.9963) q[5];
rz(0.0041) q[5];
rx(0.9967) q[6];
rz(0.1527) q[6];
rx(0.0032) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
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