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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
dc8ac5f82febba9dcace181eb5c76eb3 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": ... | {"states": [7, 13], "expectation_value": -6.697771003850325, "params": null, "bitstrings": ["111000", "110010"], "total_optimization_steps": 55, "probabilities": [0.10896502576958948, 0.5967175913259242], "optimization_time": 77.836674451828} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 *... | 11 | 6 | 4 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000", "110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.5708) q[3], q[0];
ry(0.8911) q[3];
cry(-1.5708) q[5], q[1];
ry(0.7848) q[5];
cry(-1.5708) q[2], q[4];
ry(0.683) q[2];
ry(-0.4007) q[0];
ry(-0.2882) q[1];
cry(0.409) q[5], q[3];
cry(-0.2393) q[5], q[0];
cry... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
eea3b85f6c338196bfcd99350b0e2d9a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [3414, 2025], "expectation_value": -3.117721253636635, "params": [[[1.5729, -1.5725], [-1.5728, 1.5738], [1.3678000000000001, 1.5685], [1.5733000000000001, 1.5726], [1.2297, 1.5727], [1.5732000000000002, 1.5852000000000002], [-0.09050000000000001, 1.5802], [1.5729, 1.5725], [1.5728, 1.5739], [1.5728, 1.57340... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(5) @ Z(1)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(1) @ Z(7)) + 0.0625 * (Z(5) @ Z(3... | 15 | 12 | 1 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 25, "first_excited_energy": -2.625, "smallest_bitstrings": ... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.5729) q[0];
ry(-1.5728) q[1];
ry(1.3678) q[2];
ry(1.5733) q[3];
ry(1.2297) q[4];
ry(1.5732) q[5];
ry(-0.0905) q[6];
ry(1.5729) q[7];
ry(1.5728) q[8];
ry(1.5728) q[9];
ry(1.5727) q[10];
ry(1.5728) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
58fa04385078dcdc0b5f9361c481400a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [8, 24], "expectation_value": -3.127612273749581, "params": [0.2927, 0.2901, 0.28950000000000004, 0.2927, -0.0201, -0.0198, -0.0031000000000000003, 0.0048000000000000004, -0.016900000000000002, -0.016, 0.2943, 0.2926, 0.2878, 0.2907, -0.0188, -0.012400000000000001, -0.002, 0.0063, -0.019, -0.0205, 0.2871, 0.... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(1) | 14 | 5 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["11010", "00111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
ry(0.2927) q[0];
ry(0.2895) q[1];
ry(-0.0201) q[2];
ry(-0.0031) q[3];
ry(-0.0169) q[4];
crx(0.2014) q[4], q[0];
crx(-0.0063) q[3], q[4];
crx(0.099) q[2], q[3];
crx(0.0012) q[1], q[2];
crx(0.0808) q[0], q[1];
ry(0.2901) q[0];
ry(0.2927) q[1];
ry(-0.0198) 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[... | null | {"circuits": [], "gradients": []} |
fbfefcfa74040d0ce51ad9f65d60106e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [47, 127], "expectation_value": -11.53331067575609, "params": null, "bitstrings": ["11010000", "10000000"], "total_optimization_steps": 100, "probabilities": [0.06277200153905405, 0.5103310153946397], "optimization_time": 190.90552473068237} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + 2.25 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5)... | 1 | 8 | 4 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.2796) q[1];
cry(1.5708) q[4], q[6];
cry(1.5708) q[6], q[2];
cry(1.1767) q[2], q[4];
cry(0.0768) q[2], q[6];
cry(-1.1728) q[2], q[1];
cry(-0.0354) q[4], q[1];
cry(0.0293) q[6], q[1];
cry(1.438... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.2796) 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[... |
b9249c89c9fecbd960c9b5e99266b9fa | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [112, 41], "expectation_value": -0.22403939186247168, "params": [[-0.0819], [0.0765]], "bitstrings": ["0001111", "1010110"], "total_optimization_steps": 10, "probabilities": [0.009133593524175757, 0.009337791042972327], "optimization_time": 1.377488613128662} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.0 * Z(6) + -1.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(5) + -1.0 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["0001111", "1010110", "0111001", "0101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(-0.0819) q[0];
cx q[3], q[0];
cx q[0], q[6];
rz(-0.0819) q[6];
cx q[0], q[6];
cx q[3], q[4];
rz(-0.0819) q[4];
cx q[3], q[4];
cx q[4], q[1];
rz(-0.0819) q[1];
cx q[4], q[1];
cx q[6], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[6];
rz(x0) q[6];
cx q[0], q[6];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q... | null | {"circuits": [], "gradients": []} |
570afb120ac224dc3123b6884272022a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [7, 70], "expectation_value": -4.49651553808096, "params": null, "bitstrings": ["1111000", "0111001"], "total_optimization_steps": 26, "probabilities": [0.06700898086964666, 0.929746039807431], "optimization_time": 20.492640256881714} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -0.5 * Z(6) + -1.0 * Z(1) + -1.0 * Z(5) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011011", "0111001", "1111000", "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[3];
ry(-1.5681) q[2];
ry(-1.4449) q[1];
ry(1.4449) q[4];
ry(1.4417) q[5];
cry(-1.0398) q[0], q[6];
ry(0.7022) q[0];
ry(-0.4578) q[6];
cry(0.497) q[4], q[0];
cry(-0.3761) q[4], q[6];
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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
1f5d7944e50ebc48c654989c65672b6f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "source": 1, ... | {"states": [0, 1], "expectation_value": -6.3315040128628945, "params": [[[-0.0033, 0.0086], [-0.0027, 0.009600000000000001], [-0.0025, 0.0077], [0.0027, 0.0008], [0.0027, 0.0023], [0.0022, 0.0005], [0.0024000000000000002, 0.0001], [1.6116000000000001, 0.0015]]], "bitstrings": ["11111111", "11111110"], "total_optimizati... | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + 1.0 * (Z(7) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + 1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 1.0 * Z(7) + -1.2... | 1 | 8 | 1 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0033) q[0];
rz(0.0086) q[0];
rx(-0.0027) q[1];
rz(0.0096) q[1];
rx(-0.0025) q[2];
rz(0.0077) q[2];
rx(0.0027) q[3];
rz(0.0008) q[3];
rx(0.0027) q[4];
rz(0.0023) q[4];
rx(0.0022) q[5];
rz(0.0005) q[5];
rx(0.0024) q[6];
rz(0.0001) q[6];
rx(1.6116) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
5dd8a96bddc38dd91a63d32b7368ef2c | 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": [237, 109], "expectation_value": -43.84402513115426, "params": [0.8019000000000001, 0.3336, 1.2941, 0.2039, 1.2846, 0.3265, 0.4859, 0.4415, 1.2971000000000001, 0.0235, 1.3010000000000002, 0.0095, 0.0017000000000000001, 0.7967000000000001, 1.2962, 0.0872, 0.804, 0.0025, 1.2911000000000001, 0.0001, 1.2839, 0.0... | 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(3) @ Z(5)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(6) @ Z(7)) + 5.0 * Z(0) + 6.0 * Z(2) + 13.5 * Z(1) + 14.5 * Z(4) + 14.0 * Z(5) + 2.0 * Z(3) + 6.5 * Z(7) + -4.0 * Z(6) | 18 | 8 | 2 | {"smallest_eigenvalues": [-57.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.8019) q[0];
rz(0.3336) q[0];
rx(1.2941) q[1];
rz(0.2039) q[1];
rx(1.2846) q[2];
rz(0.3265) q[2];
rx(0.4859) q[3];
rz(0.4415) q[3];
rx(1.2971) q[4];
rz(0.0235) q[4];
rx(1.301) q[5];
rz(0.0095) q[5];
rx(0.0017) q[6];
rz(0.7967) q[6];
rx(1.2962) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
-234329353063358157 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[5, 6], [0, 1, 2, 3, 4, 5], [0, 1, 2, 3, 4, 6, 7], [2, 3, 4, 5, 7]]} | {"states": [123, 122], "expectation_value": -1.0678568306131095, "params": [0.3085, 0.5121, 0.3027, 0.0006000000000000001, 1.7822, 0.1364, 0.9457000000000001, -0.34240000000000004, 1.5717, -0.0028, 1.5737, 0.0048000000000000004, 1.3626, 0.0044, 1.3198, 0.0029000000000000002, 1.5737, 0.0011, 1.5705, 0.0023, 0.4711, 0.39... | 0.5 * (Z(5) @ Z(6)) + 0.023809523809523808 * (Z(0) @ Z(6)) + 0.03333333333333333 * (Z(0) @ Z(5)) + 0.023809523809523808 * (Z(1) @ Z(6)) + 0.03333333333333333 * (Z(1) @ Z(5)) + 0.05714285714285714 * (Z(1) @ Z(0)) + 0.023809523809523808 * (Z(2) @ Z(6)) + 0.08333333333333334 * (Z(2) @ Z(5)) + 0.05714285714285714 * (Z(2) @... | 8 | 8 | 1 | {"smallest_eigenvalues": [-1.0904761904761904, -1.0904761904761904], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0571428571428572, "smallest_bitstrings": ["10000101", "01000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3085) q[0];
rz(0.5121) q[0];
rx(1.7822) q[1];
rz(0.1364) q[1];
rx(1.5717) q[2];
rz(-0.0028) q[2];
rx(1.3626) q[3];
rz(0.0044) q[3];
rx(1.5737) q[4];
rz(0.0011) q[4];
rx(0.4711) q[5];
rz(0.3959) q[5];
rx(1.5492) q[6];
rz(-0.0023) q[6];
rx(0.9718) 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": []} |
3376d5ab61c63d64b2d514c722c4a3cf | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 0, "target":... | {"states": [154, 410], "expectation_value": -5.7217592916824955, "params": [[0.0023, 0.7872, 0.9245000000000001, 0.0083, -0.0034000000000000002, 0.7974, 0.9081, -0.002, 1.4003, -0.0048000000000000004], [0.0023, 1.4104, 1.3999000000000001, 0.19190000000000002, -0.003, 1.4041000000000001, 1.3998000000000002, -0.002100000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(9)) + -0.5 * Z(2) ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["0010100111", "1001100101", "1000100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0023) q[0];
ry(0.7872) q[1];
ry(0.9245) q[2];
ry(0.0083) q[3];
ry(-0.0034) q[4];
ry(0.7974) q[5];
ry(0.9081) q[6];
ry(-0.002) q[7];
ry(1.4003) q[8];
ry(-0.0048) 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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
fdd193cb015e57ef85d2ae5c4eb54ede | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [5, 20], "expectation_value": -4.911630018605025, "params": null, "bitstrings": ["1111010", "1101011"], "total_optimization_steps": 20, "probabilities": [0.060126429742880926, 0.7888175319718603], "optimization_time": 21.263633251190186} | 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(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -2.0 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101111", "1011101", "1111010", "1001111", "1101011", "0111101", "1110011", "0111110"]} | 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[3];
ry(-1.5681) q[1];
ry(-1.5681) q[5];
cry(-1.0343) q[2], q[6];
cry(-1.0343) q[4], q[0];
ry(0.7003) q[2];
ry(0.7003) q[4];
ry(-0.4549) q[6];
ry(-0.4549) q[0];
cry(0.4578) q[4], q[2];
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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
-209512348615238131 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[9, 7], [9, 3], [8, 3, 4], [1, 10, 2, 5], [8, 9], [10, 6], [0, 2, 3, 7, 8], [4, 5], [6, 7], [0, 9, 5], [0, 9, 10], [1, 5, 7]]} | {"states": [1709, 1197], "expectation_value": -4.574164387538995, "params": [1.5264, 0.007500000000000001, 1.5257, 0.0041, 2.194, -1.1912, 2.1605000000000003, -0.8587, 0.4002, 0.7130000000000001, 0.4031, 0.0038, 1.6271, 0.0041, 1.5087000000000002, 0.195, 0.0969, -0.0033, 0.0981, 0.0044, 1.6224, -0.0027, 1.5151000000000... | 0.5 * (Z(9) @ Z(7)) + 0.05 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(9)) + 0.05 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(9)) + 0.21666666666666667 * (Z(8) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(1) @ Z(7)) + 0.16666666666666666 * (Z(10) @ Z(9)) + 0.083333333333333... | 8 | 11 | 1 | {"smallest_eigenvalues": [-4.7], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.583333333333334, "smallest_bitstrings": ["01101010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.5264) q[0];
rz(0.0075) q[0];
rx(2.194) q[1];
rz(-1.1912) q[1];
rx(0.4002) q[2];
rz(0.713) q[2];
rx(1.6271) q[3];
rz(0.0041) q[3];
rx(0.0969) q[4];
rz(-0.0033) q[4];
rx(1.6224) q[5];
rz(-0.0027) q[5];
rx(0.013) q[6];
rz(0.0102) q[6];
rx(0.6278) 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": []} |
cf6781246fc66f87fa6a567e8619e23b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [17, 1], "expectation_value": -6.208371982375844, "params": null, "bitstrings": ["1101110", "1111110"], "total_optimization_steps": 25, "probabilities": [0.2576764967213142, 0.5730478938816137], "optimization_time": 21.402769088745117} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(5)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(4)) + 1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + 0.25 * Z(1) + -0.25 * Z(0) + -1.25 *... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.75, -6.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.75, "smallest_bitstrings": ["1101110", "1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5706) q[5];
ry(-1.5706) q[3];
cry(-1.5626) q[6], q[0];
ry(1.1543) q[6];
ry(-0.5561) q[0];
cry(-1.5583) q[6], q[1];
ry(-1.5486) q[4];
cry(0.2163) q[2], q[6];
cry(-0.0808) q[2], q[0];
cry(0.3525) q[1]... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5706) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
07f08f740839686dc73690bd58217754 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"s... | {"states": [4094, 8191], "expectation_value": -22.668854797529573, "params": [[[-1.2367000000000001, 1.4020000000000001], [0.0029000000000000002, 1.3998000000000002], [0.0034000000000000002, 0.0029000000000000002], [-0.0031000000000000003, -0.0033], [0.0021000000000000003, -0.0025], [0.002, 0.0018000000000000002], [0.0... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -3.0 * (Z(4) @ Z(7)) + 1.0 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(4)) + -3.0 * (Z(5) @ Z(7)) + 1.0 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(9)) + -2.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + 0.5 ... | 15 | 13 | 1 | {"smallest_eigenvalues": [-28.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.0, "smallest_bitstrings": ["0000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(-1.2367) q[0];
ry(0.0029) q[1];
ry(0.0034) q[2];
ry(-0.0031) q[3];
ry(0.0021) q[4];
ry(0.002) q[5];
ry(0.0016) q[6];
ry(0.0029) q[7];
ry(0.0031) q[8];
ry(0.0023) q[9];
ry(0.0025) q[10];
ry(0.0037) q[11];
ry(0.0021) q[12];
cx q[12], q[0];
cx q[11], q[12];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} |
d56c975033dd057e743f83adc19a7c34 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [121, 89], "expectation_value": -2.943531966659782, "params": [-0.0025, 0.0082, 2.5066, 0.0068000000000000005, 1.4937, 0.0067, 2.5046, 0.0012000000000000001, 2.4978000000000002, 0.009000000000000001, -0.002, 0.0091, -0.0024000000000000002, 0.006200000000000001, 2.5017, 0.0056, 0.0009000000000000001, 0.0098, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(7) @ Z(1)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(7) @ Z(6)) + -0.125 * (Z(3) @ Z(1) @ Z(6)) + ... | 16 | 8 | 1 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.625, "smallest_bitstrings": ["01100110", "10001110", "10000111", "10100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0025) q[0];
rz(0.0082) q[0];
rx(2.5066) q[1];
rz(0.0068) q[1];
rx(1.4937) q[2];
rz(0.0067) q[2];
rx(2.5046) q[3];
rz(0.0012) q[3];
rx(2.4978) q[4];
rz(0.009) q[4];
rx(-0.002) q[5];
rz(0.0091) q[5];
rx(-0.0024) q[6];
rz(0.0062) q[6];
rx(2.5017) 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": []} |
-2774849660618634727 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 4, 5, 6], [2, 6], [0, 3], [8, 1], [6, 7], [0, 1, 5, 7], [8, 2, 7]]} | {"states": [406, 466], "expectation_value": -2.5247017847350937, "params": null, "bitstrings": ["001101001", "000101101"], "total_optimization_steps": 70, "probabilities": [0.07926239634580716, 0.7247640430594776], "optimization_time": 101.12281250953674} | 0.08333333333333333 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.08333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5833333333333335, "smallest_bitstrings": ["000101101", "100000101"]} | 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(1.1408) q[7];
cry(-1.3578) q[2], q[6];
ry(0.8218) q[2];
cry(-0.5667) q[7], q[6];
cry(-1.1367) q[1], q[8];
ry(0.8169) q[1];
cry(0.5335) q[7], q[2];
ry(-0.5811) q[8];
cry(-1.0342) q[0], q... | 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(1.1408) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
5034de4a0b71e78f13f19fc0d8322dd3 | 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": [252, 220], "expectation_value": -62.3913627007718, "params": [0.5206000000000001, 0.7078, 1.4026, 0.10490000000000001, 1.3951, -0.1535, 0.7768, -0.328, 1.3864, -0.1738, 1.3943, 0.0097, 1.3955, 0.3917, 0.0017000000000000001, 0.769, 0.0027, 0.9242, 0.5249, 0.0046, 1.3989, 0.006500000000000001, 1.3958000000000... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(2) @ Z(5)) + 6.0 * (Z(2) @ Z(4)) + 6.0 * (Z(3) @ Z(5)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(6) @ Z(7)) + 3.5 * Z(0) + 7.5 * Z(1) + 19.5 * Z(5) + 14.0 * Z(4) + 20.5 * Z(2) + 9.5 * Z(3) + -3.0 * Z(7) + 1.5 *... | 18 | 9 | 2 | {"smallest_eigenvalues": [-75.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["100100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.5206) q[0];
rz(0.7078) q[0];
rx(1.4026) q[1];
rz(0.1049) q[1];
rx(1.3951) q[2];
rz(-0.1535) q[2];
rx(0.7768) q[3];
rz(-0.328) q[3];
rx(1.3864) q[4];
rz(-0.1738) q[4];
rx(1.3943) q[5];
rz(0.0097) q[5];
rx(1.3955) q[6];
rz(0.3917) q[6];
rx(0.0017) 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], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
-2336214338362953603 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 6, 7], [3, 4, 6], [5, 6], [0, 4], [1, 2], [4, 6, 7], [1, 3, 4], [3, 5], [0, 3, 7], [1, 5]]} | {"states": [91, 211], "expectation_value": -3.6529177558468082, "params": null, "bitstrings": ["10100100", "00101100"], "total_optimization_steps": 48, "probabilities": [0.10323821229063172, 0.8353863741697457], "optimization_time": 63.793047189712524} | 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.25 * (Z(7) @ Z(0)) + 0.25 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.5 * (Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.666666666666667, "smallest_bitstrings": ["00101100"]} | 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(1.4449) q[3];
cry(-1.4433) q[3], q[5];
ry(1.5541) q[6];
cry(1.441) q[6], q[1];
cry(-1.4054) q[1], q[2];
cry(-1.3577) q[0], q[4];
ry(0.9572) q[0];
cry(-0.6168) q[6], q[4];
cry(0.452) q[6], q[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(1.4449) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
-8411823150573876030 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 2], [3, 5, 6], [8, 1, 2, 5], [8, 3, 4, 5], [0, 3], [9, 7], [2, 3, 4, 5]]} | {"states": [507, 491], "expectation_value": -1.548204183566561, "params": [0.34190000000000004, 0.33280000000000004, 1.1966, 1.1976, 1.1948, 1.2013, 1.202, 1.2002000000000002, 1.1768, 0.9798, 1.1880000000000002, 0.9610000000000001, 1.1934, 1.1941000000000002, 0.32730000000000004, 0.2454, 1.1707, 0.9606, 1.2022000000000... | 0.5 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.08333333333333333 * (Z(8) @ Z(2)) + 0.08333333333333333 * (Z(8) @ Z(3)) + 0.166666666... | 14 | 10 | 1 | {"smallest_eigenvalues": [-2.583333333333334, -2.583333333333334], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5833333333333335, "smallest_bitstrings": ["1000010001", "1000010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.3419) q[0];
ry(1.1966) q[1];
ry(1.1948) q[2];
ry(1.202) q[3];
ry(1.1768) q[4];
ry(1.188) q[5];
ry(1.1934) q[6];
ry(0.3273) q[7];
ry(1.1707) q[8];
ry(1.2022) q[9];
crx(0.2231) q[9], q[0];
crx(1.1862) q[8], q[9];
crx(1.1765) q[7], q[8];
crx(0.0289) 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": []} |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [1, 3], "expectation_value": -11.636573306106008, "params": [[[0.14700000000000002, 0.2303], [0.1577, 0.234], [0.1486, 0.23170000000000002], [0.18510000000000001, -0.2212], [0.5786, -0.0016], [0.5997, 0.0011]], [[0.1559, 0.2305], [0.1486, 0.234], [0.1438, 0.2316], [0.1827, -0.2212], [0.5791000000000001, -0.0... | 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)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5... | 1 | 6 | 3 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.147) q[0];
rz(0.2303) q[0];
rx(0.1577) q[1];
rz(0.234) q[1];
rx(0.1486) q[2];
rz(0.2317) q[2];
rx(0.1851) q[3];
rz(-0.2212) q[3];
rx(0.5786) q[4];
rz(-0.0016) q[4];
rx(0.5997) q[5];
rz(0.0011) q[5];
rx(0.1559) q[0];
rz(0.2305) q[0];
rx(0.1486) q[1];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
92977879d93808800c1e23dcfc7674ef | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 3... | {"states": [1, 63], "expectation_value": -2.1203320470118143, "params": [[-0.0543, -0.055, -0.057300000000000004, -0.0658], [0.061000000000000006, 0.063, 0.0597, 0.06420000000000001]], "bitstrings": ["1111110", "1000000"], "total_optimization_steps": 10, "probabilities": [0.02514192454156342, 0.028302081821997116], "op... | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(5)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + 1.0 * Z(2) + -0.25 * Z(0) + -0.25 * Z(5) + 0.0 * Z(1) + 0.25 * Z(6) + -1.5 * Z(3) + 0.... | 1 | 7 | 4 | {"smallest_eigenvalues": [-7.75, -7.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.75, "smallest_bitstrings": ["1000000", "1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(0.0272) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(0.0543) q[5];
cx q[2], q[5];
cx q[5], q[1];
rz(0.0543) q[1];
cx q[5], q[1];
cx q[0], q[6];
rz(-0.0543) q[6];
cx q[0], q[6];
cx q[1], q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
58b7c564994d921beb054319f164fa81 | 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": 4}, {"source": 1, "target": 8}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 6}, {"sour... | {"states": [480, 488], "expectation_value": -4.145738745138328, "params": [0.3002, 0.3057, 0.2997, 0.3074, 0.3045, 0.30210000000000004, 0.3007, 0.2963, -0.0035, -0.0057, 0.29500000000000004, 0.2938, 0.09340000000000001, 0.0937, 0.0942, 0.097, -0.015600000000000001, -0.0131, 0.3057, 0.3045, 0.3062, 0.3055, 0.29810000000... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(5) @ Z(7)) + -1.5 * Z(4) + 0.0 * Z(0) + -1.0 * Z(8) + 0.0 * Z(1) + 0.0 * Z(2) + -0.5 * Z(3) + -1.0 * Z(6) + -0.5 * Z(7) + 0.0 * Z(5) | 13 | 9 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -4.0, "smallest_bitstrings": ["010010110", "000111001", "000011101", "000110011", "000010111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.3002) q[0];
ry(0.2997) q[1];
ry(0.3045) q[2];
ry(0.3007) q[3];
ry(-0.0035) q[4];
ry(0.295) q[5];
ry(0.0934) q[6];
ry(0.0942) q[7];
ry(-0.0156) q[8];
crz(0.1584) q[8], q[0];
crz(-0.0188) q[7], q[8];
crz(-0.0656) q[6], q[7];
crz(-0.0481) q[5], q[6];
crz(0.1... | 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": []} |
16e531ebd5c4fa365456c9500ea8e716 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [998, 934], "expectation_value": -1.8033622189512495, "params": [[[0.5886, 0.09240000000000001], [0.5994, 0.050800000000000005], [0.5878, -0.015700000000000002], [0.5017, -0.0055000000000000005], [0.5978, -0.059500000000000004], [0.38370000000000004, 0.027200000000000002], [0.1699, 0.0779], [0.3829, 0.6016],... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 15 | 10 | 3 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.625, "smallest_bitstrings": ["0001011010", "0001011001", "0101011000", "1000011001", "1000001101", "10000010... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.5886) q[0];
ry(0.5994) q[1];
ry(0.5878) q[2];
ry(0.5017) q[3];
ry(0.5978) q[4];
ry(0.3837) q[5];
ry(0.1699) q[6];
ry(0.3829) q[7];
ry(0.5966) q[8];
ry(0.5732) 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] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
4b4df5d05df608c0366af92253893227 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [0, 1], "expectation_value": -8.769569105886202, "params": [0.0031000000000000003, 0.502, -0.0026000000000000003, 0.599, 0.0023, 0.5999, 0.0022, 0.5874, 0.0028, 0.6023000000000001, 0.0023, 0.5870000000000001, 0.0025, 0.5976, 0.002, 0.6108, 0.8058000000000001, 0.0037, 0.0031000000000000003, -0.1925, -0.002600... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(8) @ Z(1)) + 1.25 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(8)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(8)) + -0.5 * (Z(4)... | 4 | 9 | 2 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.25, "smallest_bitstrings": ["100000000", "111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0031) q[0];
rz(0.502) q[0];
rx(-0.0026) q[1];
rz(0.599) q[1];
rx(0.0023) q[2];
rz(0.5999) q[2];
rx(0.0022) q[3];
rz(0.5874) q[3];
rx(0.0028) q[4];
rz(0.6023) q[4];
rx(0.0023) q[5];
rz(0.587) q[5];
rx(0.0025) q[6];
rz(0.5976) q[6];
rx(0.002) q[7];
rz(0.610... | 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": []} |
eedfffae46889ceabb09be93decddfde | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [117, 53], "expectation_value": -2.6008965855208523, "params": [-0.0102, 0.3548, 0.4214, 0.2849, 0.6039, 0.0001, 0.5995, 0.0013000000000000002, 0.0031000000000000003, 0.4504, 0.5983, 0.006900000000000001, -0.0077, 0.3498, 0.6, 0.1801, -0.013800000000000002, 0.3678, 0.4045, 0.3556, 0.6059, 0.01380000000000000... | 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... | 16 | 8 | 4 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.375, "smallest_bitstrings": ["11001010", "01101010", "10011001", "10001110", "10001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0102) q[0];
rz(0.3548) q[0];
rx(0.4214) q[1];
rz(0.2849) q[1];
rx(0.6039) q[2];
rz(0.0001) q[2];
rx(0.5995) q[3];
rz(0.0013) q[3];
rx(0.0031) q[4];
rz(0.4504) q[4];
rx(0.5983) q[5];
rz(0.0069) q[5];
rx(-0.0077) q[6];
rz(0.3498) q[6];
rx(0.6) q[7];
rz(0.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
a65bdaf60e66a622c13976e1c056385e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"sour... | {"states": [145, 147], "expectation_value": -5.19205572526024, "params": [0.25, 0.0008, 1.7065000000000001, 0.005200000000000001, -0.003, 0.0047, -0.0018000000000000002, 0.0, 1.6988, 0.008, -0.0023, 0.0076, 1.3427, 0.006, 1.6520000000000001, 0.0073, 1.7006000000000001, 0.0012000000000000001, 0.0081, 0.0011, 0.009600000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(4) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.0, "smallest_bitstrings": ["001101110", "101101100", "101011010", "101101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.25) q[0];
rz(0.0008) q[0];
rx(1.7065) q[1];
rz(0.0052) q[1];
rx(-0.003) q[2];
rz(0.0047) q[2];
rx(-0.0018) q[3];
rz(0) q[3];
rx(1.6988) q[4];
rz(0.008) q[4];
rx(-0.0023) q[5];
rz(0.0076) q[5];
rx(1.3427) q[6];
rz(0.006) q[6];
rx(1.652) q[7];
rz(0.0073) 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": []} |
92e0d9744e7b0376f2c61fec7a621b77 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [25, 56], "expectation_value": -0.3200095618190155, "params": [[-0.0341, -0.0448, -0.046400000000000004], [0.0309, 0.0506, 0.057300000000000004]], "bitstrings": ["100110", "000111"], "total_optimization_steps": 10, "probabilities": [0.019626627190786266, 0.020285216120782074], "optimization_time": 3.19172263... | 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(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(3) + -1.0 * Z(0) + -1.0 * Z(4) + -0.5 * Z(5) + -0.5 * Z(1) + 0.0 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["000111", "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[3], q[0];
rz(-0.0341) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(-0.0341) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(-0.0341) q[5];
cx q[0], q[5];
cx q[4], q[5];
rz(-0.0341) q[5];
cx q[4], q[5];
cx q[3], q[1];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} |
7bc4dde9a09d0b94c5097b219891d81a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 2}]} | {"states": [8, 9], "expectation_value": -1.433746944919219, "params": [0.9097000000000001, 0.1022, 0.9083, 0.007200000000000001, 0.2661, 0.6111, 0.2439, 0.0011, -0.0029000000000000002, -0.6568, -0.0029000000000000002, 0.0022, 0.8994000000000001, 0.11130000000000001, 0.8993, 0.0022, 0.19190000000000002, 0.6631, -0.602, ... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(0) @ Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + -0.25 * Z(0) + -0.5 * Z(1) + -0.25 * Z(3) + -0.75 * Z(2) | 5 | 4 | 1 | {"smallest_eigenvalues": [-2.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.25, "smallest_bitstrings": ["0110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(0.9097) q[0];
rz(0.1022) q[0];
rx(0.2661) q[1];
rz(0.6111) q[1];
rx(-0.0029) q[2];
rz(-0.6568) q[2];
rx(0.8994) q[3];
rz(0.1113) q[3];
crz(-0.602) q[3], q[2];
crz(0.6631) q[3], q[1];
crz(0.1919) q[3], q[0];
crz(0.0976) q[2], q[3];
crz(0.6631) q[2], q[1];
cr... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
01a8e5f0e4da72adfede252ce1ffa4f0 | 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}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 2, "s... | {"states": [1, 5], "expectation_value": -8.749987375523228, "params": null, "bitstrings": ["111111110", "111111010"], "total_optimization_steps": 26, "probabilities": [0.24999684388415405, 0.2499968438841541], "optimization_time": 38.74461889266968} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(0)) + 1.0 * (Z(8) @ Z(0)) + -0.75 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(2)) + -0.5 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(3... | 1 | 9 | 1 | {"smallest_eigenvalues": [-8.75, -8.75, -8.75, -8.75, -8.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -7.75, "smallest_bitstrings": ["100001000", "111111110", "101111110", "101111010", "111111010"]} | 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(-1.5708) q[5];
ry(-1.5681) q[2];
ry(-1.5708) q[4];
ry(-1.5681) q[0];
ry(1.5708) q[8];
ry(-1.5681) q[3];
ry(-1.4449) q[7];
cry(-0.1188) q[8], q[7];
cry(-0.0027) q[8], q[2];
cry(-0.0027) ... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... |
cee21d2c524e6fc138e70d6d9e27345e | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 6, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 2}]} | {"states": [247, 239], "expectation_value": -7.907451364500949, "params": [[0.035, 0.0219, 0.060500000000000005, 0.0942], [-0.1432, -0.1298, -0.1101, -0.135]], "bitstrings": ["100001000", "100010000"], "total_optimization_steps": 20, "probabilities": [0.009659327848679424, 0.010523070097456712], "optimization_time": 16... | 2.0 * (Z(1) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(1)) + 1.0 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 1.0 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 1.0 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["100010000"]} | 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[1];
rz(0.14) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.14) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.07) q[3];
cx q[1], q[3];
cx q[2], q[0];
rz(0.07) q[0];
cx q[2], q[0];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
6be29fcf64186db29d8d06f08ec325c6 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 13, "source": 0, "target": 4}, {"weight": 9, "source": 2, "target": 3}, {"... | {"states": [121, 109], "expectation_value": -37.520031527174744, "params": [[0.0378, -0.0073, -0.0995, -0.011300000000000001], [-0.14780000000000001, -0.14500000000000002, 0.108, 0.12710000000000002]], "bitstrings": ["10000110", "10010010"], "total_optimization_steps": 20, "probabilities": [0.06119404114380609, 0.07664... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 10.5 * Z(1) + 4.5 * Z(0) + 14.5 * Z(2) + 9.5 * Z(4) + 4.... | 1 | 8 | 4 | {"smallest_eigenvalues": [-55.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.3024) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3024) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3024) q[2];
cx q[0], q[2];
cx q[4], q[3];
rz(0.3024) q[3];
cx q[4], q[3];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
6240facbcac03ac60847995c8221b912 | 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": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "s... | {"states": [510, 255], "expectation_value": -1.4040056700627455, "params": [[-0.08460000000000001, -0.0819], [0.0784, 0.0767]], "bitstrings": ["000000001", "100000000"], "total_optimization_steps": 10, "probabilities": [0.004606065210023392, 0.005035739034700451], "optimization_time": 3.8550562858581543} | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -0.75 * (Z(8) @ Z(2)) + 1.0 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(8)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(6) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(0.0846) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(0.1692) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.0423) q[5];
cx q[0], q[5];
cx q[5], q[1];
rz(0.1269) q[1];
cx q[5], q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
a5f43532e1723f6087760e0dbad85b40 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 6}, {"weight": 13, "source": 1, "target": 4}, {"weight": 18, "source": 1, "tar... | {"states": [237, 234], "expectation_value": -24.15540143805376, "params": [[-0.0256, 0.002], [0.0724, 0.066]], "bitstrings": ["100010010", "100010101"], "total_optimization_steps": 10, "probabilities": [0.005307881194861284, 0.005947483379206236], "optimization_time": 4.101777791976929} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-87.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["100010101"]} | 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(-0.2304) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.2304) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.2304) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(-0.2304) q[2];
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] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
3bcfe4648282d1b3b76d6f42e87e5c5d | 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": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [28, 44], "expectation_value": -0.05171462437349986, "params": [[0.035500000000000004], [-0.0368]], "bitstrings": ["100011", "010011"], "total_optimization_steps": 10, "probabilities": [0.016116822403917062, 0.016116822403917062], "optimization_time": 1.1124818325042725} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -2.0 * Z(5) + -0.5 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["100011", "010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0355) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(0.0355) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.0355) q[5];
cx q[0], q[5];
cx q[5], q[2];
rz(0.0355) q[2];
cx q[5], q[2];
cx q[5], q[4];
rz(0.0355... | 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[5];
rz(x0) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(x0) q[5]... | null | {"circuits": [], "gradients": []} |
1976951548555572864 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 2], [1, 3], [0, 2, 3], [4, 5], [0, 2, 5], [3, 4], [2, 4]]} | {"states": [50, 13], "expectation_value": -0.06285419620751555, "params": [[-0.0702], [0.0708]], "bitstrings": ["001101", "110010"], "total_optimization_steps": 10, "probabilities": [0.017298716478953174, 0.017517218650917467], "optimization_time": 0.5055537223815918} | 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.3333333333333335 * ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[1];
rz(-0.0702) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.0234) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.0702) q[3];
cx q[1], q[3];
cx q[2], q[0];
rz(-0.0468) q[0];
cx q[2], q[0];
cx q[3], q[0];
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[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(x1) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(x0) q[3]... | null | {"circuits": [], "gradients": []} |
2867969dc52573a39fa9fdcf5a20e2a9 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": ... | {"states": [0, 256], "expectation_value": -29.490802448194245, "params": [-0.33230000000000004, 0.0031000000000000003, 0.3577, 0.0077, 0.002, 0.5598000000000001, 0.0029000000000000002, 0.007, 0.002, 0.5862, 0.0021000000000000003, 0.0037, 0.8044, 0.0001, 0.81, 0.0, 0.0019, 0.6041000000000001, 0.002, 0.000900000000000000... | -1.0 * (Z(0) @ Z(4)) + -0.25 * (Z(8) @ Z(4)) + -0.25 * (Z(8) @ Z(0)) + -0.75 * (Z(11) @ Z(4)) + -0.25 * (Z(11) @ Z(0)) + -1.0 * (Z(11) @ Z(8)) + -0.25 * (Z(2) @ Z(4)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(8)) + -2.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + -1.0 * (Z(1) @ Z(6)) + -0.5 * (Z(7) @ Z(4)) + -1.25 * (Z(7... | 6 | 12 | 1 | {"smallest_eigenvalues": [-31.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -30.75, "smallest_bitstrings": ["111011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.3323) q[0];
rz(0.0031) q[0];
rx(0.002) q[1];
rz(0.5598) q[1];
rx(0.002) q[2];
rz(0.5862) q[2];
rx(0.8044) q[3];
rz(0.0001) q[3];
rx(0.0019) q[4];
rz(0.6041) q[4];
rx(-0.0686) q[5];
rz(0.001) q[5];
rx(0.0017) q[6];
rz(0.595) q[6];
rx(0.0027) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
-8383149207643838478 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4], [4, 5], [1, 4], [5, 6], [5, 7], [1, 2], [0, 3]]} | {"states": [59, 196], "expectation_value": -0.05133325586356826, "params": [[-0.0603], [0.0616]], "bitstrings": ["11000100", "00111011"], "total_optimization_steps": 10, "probabilities": [0.004319867315842312, 0.004319867315842312], "optimization_time": 0.5284204483032227} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(7) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["11000100", "00111011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(-0.0603) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(-0.0603) q[5];
cx q[4], q[5];
cx q[4], q[1];
rz(-0.0603) q[1];
cx q[4], q[1];
cx q[5], q[6];
rz(-0.0603) q[6];
cx q[5], q[6];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(x0) q[5];
cx q[4], q[5];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[5]... | null | {"circuits": [], "gradients": []} |
05514a606dbec7e55e2ac5ce12f9f75b | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [511, 255], "expectation_value": -0.6959950284399183, "params": [[0.053000000000000005], [-0.044000000000000004]], "bitstrings": ["1000000000", "1100000000"], "total_optimization_steps": 10, "probabilities": [0.0013118202579772665, 0.0013122064300152476], "optimization_time": 2.8752307891845703} | 0.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + -2.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + -2.5 * (Z(8) @ Z(5)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(9) @ Z(6)) + -2.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(8)) + -1.... | 1 | 10 | 1 | {"smallest_eigenvalues": [-21.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["1100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(0.053) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.159) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(-0.159) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.159) q[4];
cx q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x1) q[2];
cx q[3]... | {"node": 2} | {"circuits": [], "gradients": []} |
5127720150586183637 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 10, 7], [0, 1, 3, 4, 8], [2, 6, 7], [1, 2, 3, 8, 9, 10], [1, 5, 9], [0, 1, 2, 5, 6, 8, 10], [8, 3, 5, 6], [4, 5], [8, 10, 3, 7], [0, 1, 2, 3, 8, 9], [0, 4, 6, 8, 9], [1, 3, 5, 7, 10], [0, 5, 6, 9, 10]]} | {"states": [1470, 1454], "expectation_value": -2.711531864072125, "params": [1.4845000000000002, -0.1694, 1.1574, 0.009300000000000001, 0.8829, 0.34340000000000004, 0.677, 0.0021000000000000003, 1.4953, -0.31170000000000003, 1.4702000000000002, 0.007500000000000001, 1.4901, -0.18580000000000002, 1.4252, 0.0031000000000... | 0.24047619047619045 * (Z(0) @ Z(10)) + 0.3 * (Z(7) @ Z(10)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.10714285714285715 * (Z(1) @ Z(10)) + 0.10714285714285715 * (Z(1) @ Z(0)) + 0.05 * (Z(1) @ Z(7)) + 0.16666666666666669 * (Z(3) @ Z(10)) + 0.08333333333333334 * (Z(3) @ Z(0)) + 0.13333333333333333 * (Z(3) @ Z(7)) + 0.166... | 6 | 11 | 1 | {"smallest_eigenvalues": [-3.3095238095238093], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.1595238095238107, "smallest_bitstrings": ["01001010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.4845) q[0];
rz(-0.1694) q[0];
rx(0.8829) q[1];
rz(0.3434) q[1];
rx(1.4953) q[2];
rz(-0.3117) q[2];
rx(1.4901) q[3];
rz(-0.1858) q[3];
rx(0.361) q[4];
rz(-0.0465) q[4];
rx(1.4868) q[5];
rz(-0.277) q[5];
rx(1.1737) q[6];
rz(0.1453) q[6];
rx(1.4944) 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": []} |
b4386623ef42d59378644c97d49e9610 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 4, "source": 0, "t... | {"states": [125, 93], "expectation_value": -49.81469187584369, "params": [0.316, 0.3199, 0.8974000000000001, 0.1486, 0.5442, 0.31020000000000003, 0.9001, 0.2217, 0.8977, -0.0012000000000000001, 0.8966000000000001, -0.014, 0.45780000000000004, 0.26030000000000003, 0.9001, 0.1638, 0.315, 0.30960000000000004, 0.8927, 0.13... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 2.0 * Z(0) + 7.0 * Z(2) + 5.5 * Z(3) + 18.... | 3 | 8 | 3 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.0, "smallest_bitstrings": ["10100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.316) q[0];
rz(0.3199) q[0];
rx(0.8974) q[1];
rz(0.1486) q[1];
rx(0.5442) q[2];
rz(0.3102) q[2];
rx(0.9001) q[3];
rz(0.2217) q[3];
rx(0.8977) q[4];
rz(-0.0012) q[4];
rx(0.8966) q[5];
rz(-0.014) q[5];
rx(0.4578) q[6];
rz(0.2603) q[6];
rx(0.9001) 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]}"} | {"circuits": [], "gradients": []} |
6108946485159881297 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 5, 6, 7], [0, 2, 3, 4, 5, 6], [0, 1, 4, 6, 7], [1, 2, 6, 7], [0, 4, 5, 7], [0, 1, 2, 3, 5, 7], [0, 2, 3, 4, 6, 7], [2, 3, 4, 5, 7]]} | {"states": [238, 95], "expectation_value": -1.0774438846768302, "params": [[-0.3788], [0.37770000000000004]], "bitstrings": ["00010001", "10100000"], "total_optimization_steps": 40, "probabilities": [0.009754218282224978, 0.009973477496376398], "optimization_time": 2.0969321727752686} | 0.15 * (Z(0) @ Z(2)) + 0.16666666666666669 * (Z(5) @ Z(2)) + 0.2 * (Z(5) @ Z(0)) + 0.2 * (Z(6) @ Z(2)) + 0.16666666666666669 * (Z(6) @ Z(0)) + 0.08333333333333334 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(2)) + 0.25 * (Z(7) @ Z(0)) + 0.21666666666666667 * (Z(7) @ Z(5)) + 0.21666666666666667 * (Z(7) @ Z(6)) + 0.150000000000000... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.7000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["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(-0.1136) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(-0.1263) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.1515) q[5];
cx q[0], q[5];
cx q[2], q[6];
rz(-0.1515) q[6];
cx q[2], q[6];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
5790406016412728325 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3], [2, 5], [3, 4], [1, 6], [0, 5], [0, 1], [2, 6, 7], [1, 2]]} | {"states": [232, 170], "expectation_value": -3.4758798165673483, "params": null, "bitstrings": ["00010111", "01010101"], "total_optimization_steps": 60, "probabilities": [0.050625936181652655, 0.8633410084464144], "optimization_time": 84.67232084274292} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(5) + 0.16666666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5000000000000004, "smallest_bitstrings": ["01010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[6], q[1];
ry(0.971) q[6];
cry(-0.8029) q[2], q[1];
ry(1.1394) q[2];
cry(-1.4081) q[2], q[5];
cry(1.5545) q[2], q[0];
cry(-0.4693) q[0], q[1];
cry(-1.4275) q[0], q[3];
cry(1.423) q[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];\ncry(-1.0342) q[6], 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] = me... |
1054149826045979276 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 2, 3, 6, 7, 8], [0, 2, 3, 5, 6, 9], [2, 3, 4, 5, 6, 7], [1, 2, 4, 6, 8, 9], [0, 5, 6, 7], [1, 3, 5], [1, 4, 5], [9, 4, 5, 6], [0, 3, 4, 5, 7, 8], [1, 5, 9], [0, 1, 2, 3, 7, 8, 9], [8, 2, 5, 6], [0, 1, 2, 3, 4, 6, 8], [1, 2, 3, 4, 7, 8]]} | {"states": [215, 247], "expectation_value": -2.2433279041786216, "params": [0.734, 0.4627, 0.7312000000000001, 0.0056, 0.6673, 0.46490000000000004, 0.6745, 0.006200000000000001, 1.3992, -0.2559, 1.3948, 0.0098, 1.3848, -0.2897, 1.374, 0.0064, 0.8998, 0.5288, 0.8742000000000001, 0.0035, 1.4227, 0.2702, 1.414000000000000... | 0.14761904761904762 * (Z(1) @ Z(2)) + 0.18095238095238095 * (Z(3) @ Z(2)) + 0.28095238095238095 * (Z(3) @ Z(1)) + 0.24047619047619048 * (Z(6) @ Z(2)) + 0.09047619047619047 * (Z(6) @ Z(1)) + 0.12380952380952381 * (Z(6) @ Z(3)) + 0.12380952380952381 * (Z(7) @ Z(2)) + 0.09047619047619047 * (Z(7) @ Z(1)) + 0.15714285714285... | 7 | 10 | 1 | {"smallest_eigenvalues": [-3.0999999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0809523809523807, "smallest_bitstrings": ["1100001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.734) q[0];
rz(0.4627) q[0];
rx(0.6673) q[1];
rz(0.4649) q[1];
rx(1.3992) q[2];
rz(-0.2559) q[2];
rx(1.3848) q[3];
rz(-0.2897) q[3];
rx(0.8998) q[4];
rz(0.5288) q[4];
rx(1.4227) q[5];
rz(0.2702) q[5];
rx(0.6847) q[6];
rz(0.5019) q[6];
rx(1.3531) 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": []} |
39c299614cdca1aeef06b4d05c46dd6e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3... | {"states": [126, 1], "expectation_value": -0.5546208352081903, "params": [[0.0746], [-0.0611]], "bitstrings": ["0000001", "1111110"], "total_optimization_steps": 10, "probabilities": [0.009745205230950904, 0.010843129151574931], "optimization_time": 2.147662878036499} | -1.0 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(6) @ Z(2)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @... | 1 | 7 | 1 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.1492) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.0373) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(-0.0373) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.0746) q[4];
cx q[0], q[4];
cx q[3], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
4ab3a9f98a5ea141820b159d6cb4ba53 | 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": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 1, ... | {"states": [0, 1], "expectation_value": -7.545316975885489, "params": [[[0.0026000000000000003, 0.0019], [0.0027, 0.0097], [0.0025, 0.0078000000000000005], [-0.0027, 0.007500000000000001], [0.0025, 0.0027], [0.0027, 0.0043], [0.0026000000000000003, 0.004], [1.601, 0.0098]]], "bitstrings": ["11111111", "11111110"], "tot... | -0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(1) @ Z(5)) + -0.75 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(1)) + 1.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(6) @... | 1 | 8 | 1 | {"smallest_eigenvalues": [-9.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.0, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0026) q[0];
rz(0.0019) q[0];
rx(0.0027) q[1];
rz(0.0097) q[1];
rx(0.0025) q[2];
rz(0.0078) q[2];
rx(-0.0027) q[3];
rz(0.0075) q[3];
rx(0.0025) q[4];
rz(0.0027) q[4];
rx(0.0027) q[5];
rz(0.0043) q[5];
rx(0.0026) q[6];
rz(0.004) q[6];
rx(1.601) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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;
rx(x0) q[0];
rz(x1... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
93141c357d164fcf2a36ba666f8f01e3 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}]} | {"states": [1, 8], "expectation_value": -3.087199241214848, "params": [[-0.0388, -0.021, -0.07780000000000001], [0.054400000000000004, 0.0171, 0.0678]], "bitstrings": ["1110", "0111"], "total_optimization_steps": 10, "probabilities": [0.09638907089588832, 0.0963890708958884], "optimization_time": 2.163701057434082} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + -4.75 * Z(1) + -4.5 * Z(0) + -4.75 * Z(2) + -4.5 * Z(3) | 6 | 4 | 3 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1110", "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[1], q[0];
rz(-0.1358) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1358) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1358) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.1358) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.1552) q[3];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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... | {"k": 3} | {"circuits": [], "gradients": []} |
2645505044049809267 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 4], [2, 3], [0, 3], [2, 5]]} | {"states": [42, 56], "expectation_value": -0.03503472270252997, "params": [[-0.0688], [0.0645]], "bitstrings": ["010101", "000111"], "total_optimization_steps": 10, "probabilities": [0.016741595341716563, 0.016741595341716563], "optimization_time": 0.960017204284668} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0, "smallest_bitstrings": ["111000", "101010", "000111", "010101"]} | 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[1];
rz(-0.0688) q[1];
cx q[4], q[1];
cx q[3], q[2];
rz(-0.0688) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.0688) q[0];
cx q[3], q[0];
cx q[2], q[5];
rz(-0.0688) q[5];
cx q[2], q[5];
rz(0) q[4];
rz(0) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[2], q[5];
rz(x0) q... | null | {"circuits": [], "gradients": []} |
-5198790762815403122 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3, 5], [8, 4, 5, 6], [0, 1, 2, 3, 8], [1, 4, 6], [3, 6], [2, 3, 7], [1, 7], [0, 1, 4], [0, 6], [8, 1, 2, 6]]} | {"states": [371, 497], "expectation_value": -1.2357154236619157, "params": [[0.3758], [-0.3635]], "bitstrings": ["010001100", "000001110"], "total_optimization_steps": 40, "probabilities": [0.0082910770915221, 0.008298184866231979], "optimization_time": 5.243368148803711} | 0.21666666666666667 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.05 * (Z(8) @ Z(3)) + 0.05 * (Z(8) @ Z(0)) + 0.08333333333333333 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(5)) + 0.08333333333333333 * (Z(4) @ Z(8)) + 0.5 * (Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.9166666666666674], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.7000000000000006, "smallest_bitstrings": ["000001110"]} | 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(0.1628) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(0.1253) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(0.1253) q[5];
cx q[0], q[5];
cx q[3], q[8];
rz(0.0376) q[8];
cx q[3], q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
59fd21ea2b55a2e037d0d32565c3c359 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 7, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -22.76806525157145, "params": [-0.368, 0.008700000000000001, -0.09390000000000001, -0.0059, 0.0025, 0.3074, 0.0036000000000000003, 0.2999, 0.3991, 0.003, 0.40080000000000005, 0.003, -0.0043, 0.2948, 0.0079, 0.3178, 0.057100000000000005, 0.15560000000000002, -0.0241, 0.243300000... | -1.25 * (Z(0) @ Z(1)) + -1.75 * (Z(6) @ Z(0)) + 3.25 * (Z(2) @ Z(0)) + -1.0 * (Z(9) @ Z(1)) + -1.75 * (Z(9) @ Z(6)) + -0.75 * (Z(4) @ Z(2)) + -1.75 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(2)) + -1.25 * (Z(7) @ Z(9)) + -1.25 * (Z(7) @ Z(4)) + -1.5 * (Z(5) @ Z(7)) + -1.75 * (Z(10) @ Z(1)) + -1.25 * (Z(10) @ Z(6)) + -1.75 * (Z... | 6 | 11 | 2 | {"smallest_eigenvalues": [-26.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.368) q[0];
rz(0.0087) q[0];
rx(0.0025) q[1];
rz(0.3074) q[1];
rx(0.3991) q[2];
rz(0.003) q[2];
rx(-0.0043) q[3];
rz(0.2948) q[3];
rx(0.0571) q[4];
rz(0.1556) q[4];
rx(0.0128) q[5];
rz(0.2691) q[5];
rx(0.0016) q[6];
rz(0.3144) q[6];
rx(-0.0034) 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] 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 floa... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
bb51b85a8f0cca1e878093cb2d4e9f25 | kclique | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [18, 3], "expectation_value": -3.4855766858015387, "params": [[0.0665], [-0.060000000000000005]], "bitstrings": ["101101", "111100"], "total_optimization_steps": 10, "probabilities": [0.020537916774436924, 0.021194333768662685], "optimization_time": 2.1462562084198} | 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)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.25 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 ... | 16 | 6 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"]} | 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(0.2993) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2993) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2993) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2993) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2993... | 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[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... | {"k": 4} | {"circuits": [], "gradients": []} |
cf9a1540b011355d554ff1ed574e9153 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 15, "source": 0, "target": 5}, {"weight": 13, "source": 1, "target": 5}, {... | {"states": [191, 118], "expectation_value": -43.70097506271805, "params": null, "bitstrings": ["01000000", "10001001"], "total_optimization_steps": 100, "probabilities": [0.08243875724131994, 0.31412767660306534], "optimization_time": 188.94500613212585} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ 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(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 19.5 * Z(1) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "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[1];
ry(-2.3419) q[5];
ry(-5.0407) q[6];
ry(-0.8504) q[2];
cry(4.7697) q[6], q[1];
ry(24.6247) q[7];
ry(26.1061) q[3];
cry(-14.5576) q[3], q[1];
cry(-9.982) q[6], q[7];
cry(-15.5863) q... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(9.9081) 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[... |
3107297605987101856 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 5], [0, 3], [2, 3], [0, 7], [8, 1], [5, 7], [0, 5], [2, 7], [5, 6], [1, 4], [1, 5]]} | {"states": [341, 456], "expectation_value": -0.09650921375214479, "params": [[-0.0616], [0.0728]], "bitstrings": ["010101010", "000110111"], "total_optimization_steps": 10, "probabilities": [0.002204904724741864, 0.002204904724741864], "optimization_time": 0.6710338592529297} | 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.0 * Z(5) + 0.0 * Z(8) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(7) + ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.5, "smallest_bitstrings": ["000111010", "101011001", "111001000", "111000100", "101010101", "000110111", "111000101", "010101010", "101011000", "010100111",... | 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[8];
rz(-0.0616) q[8];
cx q[5], q[8];
cx q[5], q[0];
rz(-0.0616) q[0];
cx q[5], q[0];
cx q[0], q[3];
rz(-0.0616) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(-0.0616) q[2];
cx q[3], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[8];
rz(x0) q[8];
cx q[5], q[8];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];... | null | {"circuits": [], "gradients": []} |
cf63e2458a0741acd2ef8c128602eb3a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [75, 67], "expectation_value": -4.6164383843086, "params": [0.3014, 0.2972, -0.0024000000000000002, 0.0011, -0.0046, 0.0028, 0.1003, 0.09870000000000001, 0.0063, 0.009600000000000001, 0.3033, 0.303, 0.2978, 0.3029, 0.3054, 0.3017, -0.0006000000000000001, 0.0043, 0.0025, -0.0019, 0.1005, 0.1057, 0.01070000000... | 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(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -2.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.0 * Z(3) + -1.5 * Z(4) + -0.5 * Z... | 14 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1110100", "1100110", "0111100", "0111001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.3014) q[0];
ry(-0.0024) q[1];
ry(-0.0046) q[2];
ry(0.1003) q[3];
ry(0.0063) q[4];
ry(0.3033) q[5];
ry(0.2978) q[6];
crx(0.0917) q[6], q[0];
crx(0.1296) q[5], q[6];
crx(0.1384) q[4], q[5];
crx(0.1924) q[3], q[4];
crx(0.2009) q[2], q[3];
crx(0.1995) q[1], 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] x11;
input float[64] x12;
inp... | null | {"circuits": [], "gradients": []} |
a8c99ad184c02bf7f13319ba9d22eb58 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"sour... | {"states": [159, 15], "expectation_value": -1.8414647194203133, "params": [[-0.0879], [0.0815]], "bitstrings": ["01100000", "11110000"], "total_optimization_steps": 10, "probabilities": [0.00701477853398748, 0.007445181105357586], "optimization_time": 1.65364670753479} | 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... | 5 | 8 | 1 | {"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;
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(-0.1758) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3516) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0879) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.4395) q[3];
cx q[1], q[3];
cx q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2]... | {"node": 0} | {"circuits": [], "gradients": []} |
ac1f174c7c8aefd4d3fe63daa83b99d5 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, {"source": 4, "target":... | {"states": [503, 511], "expectation_value": -9.922020293890622, "params": [1.6958, -0.0112, 0.0035, 0.0091, -0.1173, 1.7014, -1.5909, 0.0058000000000000005, 2.0659, 0.0154, -0.8181, 0.0077, -2.0564, -0.0148, 0.2828, 0.0044, -1.7928000000000002, 0.0927, 0.2059, 0.006200000000000001, -0.42000000000000004, 2.3181000000000... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(5) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 1.0 * Z(3) + -1.0 * Z(5) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(8) | 6 | 9 | 1 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.6958) q[0];
rz(-0.0112) q[0];
rx(-0.1173) q[1];
rz(1.7014) q[1];
rx(2.0659) q[2];
rz(0.0154) q[2];
rx(-2.0564) q[3];
rz(-0.0148) q[3];
rx(-1.7928) q[4];
rz(0.0927) q[4];
rx(-0.42) q[5];
rz(2.3181) q[5];
rx(-1.5902) q[6];
rz(0.0698) q[6];
rx(-1.0403) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 3} | {"circuits": [], "gradients": []} |
f5d94ed048c28683c088d45a2d452aca | 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": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [172, 236], "expectation_value": -3.063859952851643, "params": [[[-0.0041, 0.2584, 0.0092, 0.0046], [0.5753, 0.0037, 0.5700000000000001, 0.0074], [-0.19740000000000002, 0.0002, 0.0067, 0.0034000000000000002], [0.6446000000000001, -0.0064, 0.6446000000000001, 0.0038], [-0.0032, -0.4546, 0.0041, -0.4505], [0.0... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(8)) + 0.0625 * (Z(3) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0.06... | 12 | 9 | 4 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5625, "smallest_bitstrings": ["010101010", "100011010", "100010011", "110001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0041) q[0];
rz(0.2584) q[0];
ry(0.5753) q[1];
rz(0.0037) q[1];
ry(-0.1974) q[2];
rz(0.0002) q[2];
ry(0.6446) q[3];
rz(-0.0064) q[3];
ry(-0.0032) q[4];
rz(-0.4546) q[4];
ry(0.0744) q[5];
rz(-0.0324) q[5];
ry(0.6681) q[6];
rz(0.0018) q[6];
ry(0.0014) 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": []} |
16f78d4600a63f9e28571cad22ffe3ee | 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": 1, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 5}, {"weight": 8, "source": 2, "target": 3}, {"weight": 11, "source": 2, "targ... | {"states": [246, 182], "expectation_value": -31.535917791815116, "params": [[-0.0412, -0.0035, 0.0064, 0.003], [0.07540000000000001, 0.0678, 0.057100000000000005, 0.055400000000000005]], "bitstrings": ["100001001", "101001001"], "total_optimization_steps": 10, "probabilities": [0.013140078298329794, 0.01760389956656237... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 10.0 * Z(1) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["101001001"]} | 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(-0.3708) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.3708) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(-0.3708) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.3708) q[4];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
e6f5f7344f65c4a1f156bb9648ed863a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 4}, ... | {"states": [662, 726], "expectation_value": -1.1515739213786773, "params": [0.8883000000000001, 0.8908, 0.6519, 0.6533, 0.9102, 0.9098, 0.8842000000000001, 0.8856, -0.002, -0.0018000000000000002, 0.9053, 0.9006000000000001, 0.6598, 0.6618, 0.901, 0.9041, 0.9087000000000001, 0.9052, 0.44680000000000003, 0.4535, -0.30110... | 0.5 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(5)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(4) @ Z(5)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0)... | 13 | 10 | 1 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.875, "smallest_bitstrings": ["0101100001", "0100101001", "1000101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.8883) q[0];
ry(0.6519) q[1];
ry(0.9102) q[2];
ry(0.8842) q[3];
ry(-0.002) q[4];
ry(0.9053) q[5];
ry(0.6598) q[6];
ry(0.901) q[7];
ry(0.9087) q[8];
ry(0.4468) q[9];
crz(-0.3011) q[9], q[0];
crz(0.3043) q[8], q[9];
crz(0.0854) q[7], q[8];
crz(0.1299) 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": []} |
5721bc29b750ff2e0c5d4fb6d5e7d30b | 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": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [24, 31], "expectation_value": -13.859977774447913, "params": [-0.0077, 1.0208000000000002, 0.0047, 0.9836, -0.0063, 0.7513000000000001, 0.0044, 0.8912, 0.0002, 0.9795, -0.0006000000000000001, 0.9823000000000001, 0.1338, 0.09050000000000001, 0.6991, 0.046700000000000005, 0.47950000000000004, -0.2928, 0.5066,... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(7)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(7) + 0.5 * Z(5) + 0.5 * Z(6) | 6 | 8 | 2 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["11100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0077) q[0];
rz(1.0208) q[0];
rx(-0.0063) q[1];
rz(0.7513) q[1];
rx(0.0002) q[2];
rz(0.9795) q[2];
rx(0.1338) q[3];
rz(0.0905) q[3];
rx(0.4795) q[4];
rz(-0.2928) q[4];
rx(0.426) q[5];
rz(0.0592) q[5];
rx(0.7071) q[6];
rz(1.4866) q[6];
rx(-0.7062) 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[... | {"node": 3} | {"circuits": [], "gradients": []} |
ee68f24dce039a4cba3f3c3df952f527 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "source": 4, "target": 3}, {"capaci... | {"states": [8, 27], "expectation_value": -2.291495606100743, "params": null, "bitstrings": ["110111", "100100"], "total_optimization_steps": 26, "probabilities": [0.07744130134523922, 0.6711829431980799], "optimization_time": 14.231545448303223} | 0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(4) @ Z(5)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * Z(5) + -0.25 * Z(0) + 0.25 * Z(4) + 0.5 * Z(1) + 0.25 * Z(2) + -0.25 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["100000", "100100"]} | 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];
cry(1.5158) q[4], q[1];
cry(1.2167) q[1], q[4];
cry(1.3013) q[1], q[2];
ry(-1.0342) q[0];
cry(1.2575) q[4], q[5];
cry(-0.4867) q[5], q[0];
ry(-0.3085) q[5];
cry(0.5303) q[1], q[5];
ry(-0.5927) q[3];
cry(0.2354) 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];\ncry(1.5158) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... |
e1e31cd8da97b1296222838354d79204 | 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": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "target": 7}, {"sour... | {"states": [0, 248], "expectation_value": -10.616228813236063, "params": [0.6599, -0.1769, 0.19460000000000002, 0.6889000000000001, 0.6603, 0.0574, 0.22820000000000001, 0.7256, 0.6604, 0.8608, 0.35300000000000004, 1.0462, 0.6555000000000001, 0.9563, 0.2594, 1.0231000000000001, 0.6386000000000001, 1.1252, 0.4842, 1.0408... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + -1.5 * Z(6) + -1.5 * Z(5) + -1.5 * Z(7) | 6 | 8 | 2 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["00000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.6599) q[0];
rz(-0.1769) q[0];
rx(0.6603) q[1];
rz(0.0574) q[1];
rx(0.6604) q[2];
rz(0.8608) q[2];
rx(0.6555) q[3];
rz(0.9563) q[3];
rx(0.6386) q[4];
rz(1.1252) q[4];
rx(-0.161) q[5];
rz(0.8675) q[5];
rx(-0.1492) q[6];
rz(0.8832) q[6];
rx(-0.0828) 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[... | {"node": 6} | {"circuits": [], "gradients": []} |
16a3f0e7912c5ed5cfa032c0d85156ec | 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": 3, "source": 2, "target": 3}, {"capacity": 2, "source": 2, "target": 5}, {"capacity": 2, "source": 2, ... | {"states": [128, 127], "expectation_value": -0.878479882899729, "params": [[-0.0397, -0.0187, 0.057100000000000005, 0.0791], [0.0688, 0.0599, -0.0063, -0.057300000000000004]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.0068716190804103735, 0.006948153875964878], "optimiz... | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -1.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(6) @ Z(2)) + -1.75 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(6)) + -1.0 * (Z(1) @ Z(5)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + 1.5 * Z(5) + -0.5 * Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-8.25, -8.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000", "11000000"]} | 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(0.0198) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0595) q[3];
cx q[2], q[3];
cx q[2], q[5];
rz(0.1191) q[5];
cx q[2], q[5];
cx q[3], q[5];
rz(0.0397) q[5];
cx q[3], q[5];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
a617cd4648156ddc77f993201a7a952c | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [22, 7], "expectation_value": -5.448068232461173, "params": [[-0.0158, 0.0388, 0.0269], [0.0367, -0.0241, -0.023100000000000002]], "bitstrings": ["11101001", "11111000"], "total_optimization_steps": 10, "probabilities": [0.005014251180935944, 0.005242673743720832], "optimization_time": 8.658418893814087} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.... | 1 | 8 | 3 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"]} | 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(-0.0869) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0869) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0869) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0869) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} |
fcb23ca7a37befe4405c903476d4ab58 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [726, 598], "expectation_value": -112.41397454625293, "params": [-0.0017000000000000001, 0.42060000000000003, 0.7878000000000001, 0.0194, 0.0017000000000000001, 0.5137, 0.3423, 0.31020000000000003, 0.7826000000000001, 0.0047, 0.0029000000000000002, 0.5169, 0.7915000000000001, 0.1154, 0.1898, 0.30810000000000... | 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(7) @ Z(4)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(8) @ Z(6)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(0) @ Z(8)) + 7.5 * (Z(9) @ Z(1)) + 7.5 * (Z(9) @ Z(3)) + 7.5 * (Z(10) @ Z(9)) + 13.5 * Z(1) + -6.0 * Z(2) + 12.0 * Z(3) + 6.0 * Z(4) + ... | 18 | 11 | 4 | {"smallest_eigenvalues": [-122.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -102.5, "smallest_bitstrings": ["10110101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0017) q[0];
rz(0.4206) q[0];
rx(0.7878) q[1];
rz(0.0194) q[1];
rx(0.0017) q[2];
rz(0.5137) q[2];
rx(0.3423) q[3];
rz(0.3102) q[3];
rx(0.7826) q[4];
rz(0.0047) q[4];
rx(0.0029) q[5];
rz(0.5169) q[5];
rx(0.7915) q[6];
rz(0.1154) q[6];
rx(0.1898) 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... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
90b952fb961a71c766735ab6825a9e54 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "ta... | {"states": [127, 126], "expectation_value": -15.533366414500184, "params": [[[0.0027, 3.1618], [0.0022, 0.0026000000000000003], [0.0018000000000000002, 0.002], [0.002, 0.002], [0.0026000000000000003, 0.0023], [-1.6393, 0.003], [0.0027, 0.0029000000000000002]]], "bitstrings": ["0000000", "0000001"], "total_optimization_... | -2.0 * (Z(0) @ Z(1)) + -2.5 * (Z(5) @ Z(1)) + -2.0 * (Z(5) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 1.0 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(5)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0... | 15 | 7 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["0000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.0027) q[0];
ry(0.0022) q[1];
ry(0.0018) q[2];
ry(0.002) q[3];
ry(0.0026) q[4];
ry(-1.6393) q[5];
ry(0.0027) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(3.1618) q[0];
ry(0.0026) q[1];
ry... | 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[7] c;
qubit[7] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
ry(x3) q[3];
ry(x4) q... | {"node": 6} | {"circuits": [], "gradients": []} |
5e6bd846a2e8c5217fc23acbb45e48ec | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [246, 118], "expectation_value": -54.28573810890593, "params": [1.5672000000000001, 0.0097, 2.0497, 0.0045000000000000005, 2.7839, 0.0029000000000000002, 2.7915, 0.004200000000000001, 1.5079, 0.006, 2.7941000000000003, 0.009000000000000001, 2.8076000000000003, 0.0055000000000000005, -0.002, 0.0059, 0.0090000... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(2) @ Z(5)) + 6.0 * (Z(3) @ Z(0)) + 6.0 * (Z(3) @ Z(5)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(6) @ Z(0)) + 6.0 * (Z(6) @ Z(3)) + 6.0 * (Z(7) @ Z(6)) + 10.0 * Z(0) + 6.5 * Z(1) + 18.0 * Z(5) + 12.0 * Z(2) + 2... | 18 | 8 | 1 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.0, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.5672) q[0];
rz(0.0097) q[0];
rx(2.0497) q[1];
rz(0.0045) q[1];
rx(2.7839) q[2];
rz(0.0029) q[2];
rx(2.7915) q[3];
rz(0.0042) q[3];
rx(1.5079) q[4];
rz(0.006) q[4];
rx(2.7941) q[5];
rz(0.009) q[5];
rx(2.8076) q[6];
rz(0.0055) q[6];
rx(-0.002) 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] 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": []} |
5bfd79024282ae69c62758a244a2de56 | kclique | 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": 5}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [56, 7], "expectation_value": -4.067135760610075, "params": [[0.06720000000000001, 0.059800000000000006, 0.046900000000000004, -0.016800000000000002], [-0.07150000000000001, -0.0656, -0.053200000000000004, -0.0318]], "bitstrings": ["000111", "111000"], "total_optimization_steps": 10, "probabilities": [0.0401... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 1.75 * (Z(5) @ Z(3)) + 1.75 * ... | 14 | 6 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"]} | 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(0.2352) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2352) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2352) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2688) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2688... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} |
969dbed488b18fd892982f38c13bf4b6 | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 5}, {"weight": 1, "source": 1, "target... | {"states": [21914, 21930], "expectation_value": -1.7106354464144875, "params": null, "bitstrings": ["1010101001100101", "1010101001010101"], "total_optimization_steps": 100, "probabilities": [0.1202007041936859, 0.2718399883159083], "optimization_time": 1066.5772886276245} | 0.25 * (Z(0) @ Z(1)) + -0.0006510416666666666 * (Z(2) @ Z(0)) + -0.0006510416666666666 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00026041666666666666 * (Z(4) @ Z(0)) + -0.00078125 * (Z(4) @ Z(2)) + 0.00026041666666666666 * (Z(5) @ Z(1)) + -0.00078125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0006510416666666666 * (Z... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0238715277777453], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0238715277777253, "smallest_bitstrings": ["1010101001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cry(-0.5941) q[10], q[11];
cry(-0.5937) q[8], q[9];
cry(-0.5941) q[12], q[13];
cry(-0.5945) q[14], q[15];
cry(-0.5934) q[7],... | null | {"communities_size": 4, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncry(-0.5941) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure ... |
ef8f22f83fe0492ffe205e283ddd4791 | 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": [215, 214], "expectation_value": -51.006739491794015, "params": [0.3914, -0.29560000000000003, 0.8058000000000001, -0.0132, 0.7992, 0.1638, 0.37010000000000004, 0.3446, 0.7972, 0.10020000000000001, 0.3582, 0.2743, 0.799, 0.0047, 0.7947000000000001, 0.1258, 0.5499, 0.1802, 0.3916, -0.25670000000000004, 0.7973... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(8) @ Z(6)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(7) @ Z(8)) + 2.5 * Z(0) + 16.5 * Z(1) + 15.0 * Z(2) + 8.0 * Z(4) + 1.5 * Z(3) + 16.5 * Z(6)... | 18 | 9 | 3 | {"smallest_eigenvalues": [-95.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["100101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3914) q[0];
rz(-0.2956) q[0];
rx(0.8058) q[1];
rz(-0.0132) q[1];
rx(0.7992) q[2];
rz(0.1638) q[2];
rx(0.3701) q[3];
rz(0.3446) q[3];
rx(0.7972) q[4];
rz(0.1002) q[4];
rx(0.3582) q[5];
rz(0.2743) q[5];
rx(0.799) q[6];
rz(0.0047) q[6];
rx(0.7947) 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": []} |
dbbbc4d6019a7673182b353b82b6a083 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 5, "s... | {"states": [0, 1], "expectation_value": -18.223537882597682, "params": [-0.0001, -0.1806, 0.0036000000000000003, -0.1446, -0.004200000000000001, -0.185, -0.0024000000000000002, -0.2082, -0.006900000000000001, -0.1638, -0.0, -0.2131, -0.0013000000000000002, -0.2247, -0.0016, -0.22990000000000002, -0.0032, -0.22410000000... | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -1.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(8) @ Z(1)) + 2.5 * (Z(8) @ Z(0)) + -0.75 * (Z(7) @ Z(1)) + -1.25 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @... | 5 | 9 | 3 | {"smallest_eigenvalues": [-19.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.75, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0001) q[0];
rz(-0.1806) q[0];
rx(-0.0042) q[1];
rz(-0.185) q[1];
rx(-0.0069) q[2];
rz(-0.1638) q[2];
rx(-0.0013) q[3];
rz(-0.2247) q[3];
rx(-0.0032) q[4];
rz(-0.2241) q[4];
rx(0.0004) q[5];
rz(-0.1871) q[5];
rx(0.0007) q[6];
rz(-0.1978) q[6];
rx(-0.0011)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
723b73fdc30b23dba77c4958fef78f24 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [14, 53], "expectation_value": -0.4633611985643272, "params": [[0.0345, 0.061500000000000006, 0.0545, 0.0509], [0.0092, -0.0439, -0.0442, -0.0427]], "bitstrings": ["1110001", "1001010"], "total_optimization_steps": 10, "probabilities": [0.01135890225894772, 0.012096292568632707], "optimization_time": 12.5941... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(1) + -0.5 * Z(3) + 0.0 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["1001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(0.0345) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(0.0345) q[4];
cx q[0], q[4];
cx q[2], q[5];
rz(0.0345) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.0345) q[5];
cx q[0], q[5];
cx q[5], q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
fbc744d6879588d738fa84c3bdbbba8a | 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": [3025, 1193], "expectation_value": -0.04659475099838295, "params": [[0.0005, 0.0694, 0.0034000000000000002, 0.0078000000000000005, 0.008, 0.0083, 0.0025, 0.00030000000000000003, 0.0091, 0.0036000000000000003, 0.008, 0.01, 0.0009000000000000001], [0.008, -0.0748, 0.004200000000000001, 0.0074, 0.00870000000000... | 9.0 * (Z(2) @ Z(1)) + 9.0 * (Z(4) @ Z(5)) + 9.0 * (Z(0) @ Z(9)) + 9.0 * (Z(8) @ Z(9)) + 9.0 * (Z(7) @ Z(9)) + 9.0 * (Z(7) @ Z(8)) + 9.0 * (Z(6) @ Z(7)) + 9.0 * (Z(10) @ Z(2)) + 9.0 * (Z(11) @ Z(5)) + 9.0 * (Z(12) @ Z(7)) + 9.0 * (Z(12) @ Z(6)) + -5.5 * Z(1) + 10.0 * Z(2) + 5.5 * Z(5) + -5.0 * Z(4) + 18.5 * Z(9) + -7.0 ... | 9 | 13 | 2 | {"smallest_eigenvalues": [-161.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -153.5, "smallest_bitstrings": ["1101101010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] 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];
cz q[12], q[11];
cz q[11], q[10];
cz q[10], q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14, 15, 16]}"} | {"circuits": [], "gradients": []} |
15a5f37f6b324be94a7fa874923284e5 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "ta... | {"states": [21, 7], "expectation_value": -6.916853647528708, "params": [[0.043300000000000005, 0.0378], [-0.039900000000000005, -0.0477]], "bitstrings": ["11101010", "11111000"], "total_optimization_steps": 10, "probabilities": [0.007115869770803368, 0.007358908790174217], "optimization_time": 8.308008193969727} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2... | 3 | 8 | 2 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["11111000"]} | 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(0.2382) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2382) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2382) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2382) q[3];
cx q[1], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"k": 5} | {"circuits": [], "gradients": []} |
26256902373292a4abd13f18a92cffcf | 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": [866, 355], "expectation_value": -77.64328036567082, "params": [0.7874, 1.1229, 1.5650000000000002, 1.5761, 0.0118, -0.0158, 1.5648, 1.5715000000000001, 1.5451000000000001, 1.5904, 0.006500000000000001, -0.00030000000000000003, 0.0021000000000000003, 0.0023, 0.0055000000000000005, -0.0092, 1.9377000000000002... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(6) @ Z(1)) + 6.0 * (Z(7) @ Z(4)) + 6.0 * (Z(8) @ Z(2)) + 6.0 * (Z(8) @ Z(7)) + 6.0 * (Z(9) @ Z(0)) + 5.0 * Z(0) + 9.5 * Z(1) + 8.5 * Z(3) + 1.0 * Z(2) + 3.0 * Z(5) + 10.0 * Z(4) + -1.5 * Z(6) + 4.0 * Z(7) + 9.0 * Z(8) + 1.0... | 14 | 10 | 1 | {"smallest_eigenvalues": [-80.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.5, "smallest_bitstrings": ["1010011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.7874) q[0];
ry(1.565) q[1];
ry(0.0118) q[2];
ry(1.5648) q[3];
ry(1.5451) q[4];
ry(0.0065) q[5];
ry(0.0021) q[6];
ry(0.0055) q[7];
ry(1.9377) q[8];
ry(1.0987) q[9];
crx(1.5143) q[9], q[0];
crx(0.6605) q[8], q[9];
crx(-0.4937) q[7], q[8];
crx(0.5311) 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], \"right_nodes\": [6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
86f7cf811774c9dc1f8ac7ebefafd51c | 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": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": 3, "target": 4}]} | {"states": [28, 26], "expectation_value": -2.489065531692975, "params": null, "bitstrings": ["100011", "100101"], "total_optimization_steps": 27, "probabilities": [0.060236481746409505, 0.864537407937405], "optimization_time": 14.473299741744995} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(5) + 0.0 * Z(2) + -0.5 * Z(3) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.5, "smallest_bitstrings": ["010011", "010101", "011100", "100011", "100101"]} | 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[5];
ry(1.4449) q[2];
cry(-1.0343) q[4], q[3];
cry(-1.0342) q[1], q[0];
ry(0.7003) q[4];
ry(0.7003) q[1];
ry(-0.4549) q[3];
cry(0.4963) q[2], q[4];
ry(-0.4549) q[0];
cry(0.4963) q[2], q[1];
cry(-0.37... | 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[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
ea87393c81b1fa2eb1bd7f9a85da6103 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target":... | {"states": [0, 255], "expectation_value": -9.28871082614285, "params": [0.3299, 0.23800000000000002, -0.4163, 0.006, -0.02, 2.407, -0.0345, 0.0073, -0.21000000000000002, 2.7738, -0.3075, 0.00030000000000000003, -0.47750000000000004, 2.822, -0.5653, 0.007500000000000001, -0.5572, 2.9407, -0.5512, 0.0067, 0.3328000000000... | -2.0 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(0) | 6 | 9 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3299) q[0];
rz(0.238) q[0];
rx(-0.02) q[1];
rz(2.407) q[1];
rx(-0.21) q[2];
rz(2.7738) q[2];
rx(-0.4775) q[3];
rz(2.822) q[3];
rx(-0.5572) q[4];
rz(2.9407) q[4];
rx(0.3328) q[5];
rz(-0.1054) q[5];
rx(0.7379) q[6];
rz(0.2463) q[6];
rx(-1.4028) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 0} | {"circuits": [], "gradients": []} |
0eaee6b22448c63c6e544649806319e4 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": ... | {"states": [231, 999], "expectation_value": -0.7175904516844933, "params": [[-0.0641], [0.061900000000000004]], "bitstrings": ["1100011000", "0000011000"], "total_optimization_steps": 10, "probabilities": [0.0013696315631195732, 0.001411939425717639], "optimization_time": 1.581944227218628} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + -2.0 * (Z(2) @ Z(8)) + 1.0 * (Z(2) @ Z(7)) + -2.0 * (Z(2) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + -1.0 * Z(6) + -1.0 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(9... | 5 | 10 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["0000011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(0.1282) q[0];
cx q[1], q[0];
cx q[4], q[3];
rz(0.1282) q[3];
cx q[4], q[3];
cx q[6], q[5];
rz(0.1923) q[5];
cx q[6], q[5];
cx q[8], q[7];
rz(0.2564) q[7];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[4], q[3];
... | {"node": 5} | {"circuits": [], "gradients": []} |
80414d2e2eb4a15dac1e8a7f58be727c | 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": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [1677, 1679], "expectation_value": -2.7880587060780093, "params": [0.3335, 0.33840000000000003, 0.5004000000000001, 0.5033, 0.050800000000000005, 0.0468, 0.49810000000000004, 0.4969, 0.0368, 0.0357, 0.0409, 0.0427, 0.0391, 0.0415, 0.49420000000000003, 0.49460000000000004, 0.49250000000000005, 0.5018, 0.3209,... | 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... | 13 | 11 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -2.5, "smallest_bitstrings": ["10000101010", "01100110000", "10001100010", "00100110100", "11000100010", "00100111000", "10... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.3335) q[0];
ry(0.5004) q[1];
ry(0.0508) q[2];
ry(0.4981) q[3];
ry(0.0368) q[4];
ry(0.0409) q[5];
ry(0.0391) q[6];
ry(0.4942) q[7];
ry(0.4925) q[8];
ry(0.3209) q[9];
ry(0.4987) q[10];
crz(0.0105) q[10], q[0];
crz(0.002) q[9], q[10];
crz(-0.0121) q[8], 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... | null | {"circuits": [], "gradients": []} |
bfcc016c6d32554855d911056b5152b6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 0, ... | {"states": [9, 1], "expectation_value": -3.493577327294222, "params": [[-0.0446, -0.033600000000000005, -0.0177], [0.0632, 0.0475, 0.0335]], "bitstrings": ["11110110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.00939151229970562, 0.010183051436977722], "optimization_time": 4.799768686294556} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(6)) + 4.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(2)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-22.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.25, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.0446) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0669) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1338) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(0.0892) q[5];
cx q[1], q[5];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
2e176b1388169c31718c374b42e0c725 | 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": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 1... | {"states": [70, 63], "expectation_value": -3.8557345323839898, "params": null, "bitstrings": ["0111001", "1000000"], "total_optimization_steps": 52, "probabilities": [0.061725432789195255, 0.6825766806121321], "optimization_time": 56.08700251579285} | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + 0.25 * Z(5) + -0.25 * Z(0) + -0.75 * Z(6) + 0.0 * Z(1) + -0.25 ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "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(1.5486) q[4];
cry(1.5626) q[2], q[3];
cry(1.2279) q[3], q[2];
ry(1.5158) q[5];
cry(-1.0348) q[6], q[0];
cry(0.9797) q[3], q[6];
cry(1.2085) q[2], q[1];
cry(-0.6038) q[3], q[0];
cry(0.4593) q[2], q[6];
... | 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(1.5486) 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", "... |
dd4f3f1f90b61f0bfd416cd86d3b98cc | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [106, 102], "expectation_value": -0.10838975693034834, "params": [[0.060500000000000005], [-0.0494]], "bitstrings": ["0010101", "0011001"], "total_optimization_steps": 10, "probabilities": [0.008428357631691114, 0.00851983904184303], "optimization_time": 1.2909626960754395} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(6) + 0.0 * Z(1) + -0.5 * Z(5) + -0.5 * Z(4) + 0.0 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011001", "0010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(0.0605) q[0];
cx q[2], q[0];
cx q[2], q[6];
rz(0.0605) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(0.0605) q[6];
cx q[0], q[6];
cx q[2], q[1];
rz(0.0605) q[1];
cx q[2], q[1];
cx q[2], q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[6];
rz(x0) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(... | null | {"circuits": [], "gradients": []} |
9e72b7dd0d69a46b7f007aaed5517323 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 5, "target": 3}]} | {"states": [14, 7], "expectation_value": -6.838019327905491, "params": null, "bitstrings": ["110001", "111000"], "total_optimization_steps": 55, "probabilities": [0.1065316688417241, 0.6056265915786384], "optimization_time": 62.077834606170654} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 * ... | 18 | 6 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"]} | 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];
cry(-1.5708) q[3], q[0];
ry(0.8911) q[3];
cry(-1.5708) q[5], q[2];
ry(0.7848) q[5];
cry(-1.5708) q[4], q[1];
ry(0.8233) q[4];
ry(-0.4144) q[0];
ry(-0.3107) q[1];
cry(0.4137) q[5], q[3];
ry(-0.2673) q[2];
cry(0.35... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
2f79ad3d343f71eb56d0f1ba14677c5f | connected_components | 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": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 6}, {"source": 4, "target": 5}]} | {"states": [63, 48], "expectation_value": -0.48013253809212375, "params": [[0.0623], [-0.048600000000000004]], "bitstrings": ["000000", "001111"], "total_optimization_steps": 10, "probabilities": [0.01786058519356349, 0.01828057559753969], "optimization_time": 0.980757474899292} | -1.0 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(4)) + -2.0 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(2)) + -2.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.5 * Z(4) + -2.0 * Z(2) + 1.5 * Z(3) + 1.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["001111"]} | 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(-0.1246) q[0];
cx q[1], q[0];
cx q[4], q[2];
rz(0.1246) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(-0.2492) q[3];
cx q[4], q[3];
cx q[2], q[3];
rz(-0.3115) q[3];
cx q[2], q[3];
cx q[2], q[5];
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;
input float[64] x5;
input float[64] x6;
input float[64] x7;
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[4], ... | {"node": 2} | {"circuits": [], "gradients": []} |
0ffdbeefe93b743cc0dd9d6d0c8f9c6b | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 4, "target": 5},... | {"states": [2046, 2047], "expectation_value": -9.550761709554413, "params": [0.7442000000000001, -0.058600000000000006, -0.108, 0.0035, 1.3085, 0.036500000000000005, -0.6203000000000001, 0.005200000000000001, 1.1091, 0.7525000000000001, 1.0350000000000001, 0.0045000000000000005, 1.5669000000000002, 0.9409000000000001, ... | -1.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(1) @ Z(5)) + -1.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + -1.0 * (Z(2) @ Z(3)) + 0.5 * Z(4) + 0.5 * Z(0) + 0.5 * Z(5) + 0.5 * Z(1) + 0.5 * Z(7) + 0.5 * Z(6) + 1.0 * Z(9) + ... | 6 | 11 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["00000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.7442) q[0];
rz(-0.0586) q[0];
rx(1.3085) q[1];
rz(0.0365) q[1];
rx(1.1091) q[2];
rz(0.7525) q[2];
rx(1.5669) q[3];
rz(0.9409) q[3];
rx(1.6616) q[4];
rz(0.9187) q[4];
rx(-1.6178) q[5];
rz(1.0561) q[5];
rx(1.6926) q[6];
rz(1.3875) q[6];
rx(1.6895) 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[... | {"node": 9} | {"circuits": [], "gradients": []} |
ea11ef823a4171f30b9311f7c1a41939 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [2165, 2101], "expectation_value": -136.21429461219128, "params": [0.7867000000000001, 0.0088, -0.0015, 0.5565, 0.0018000000000000002, 0.5874, 0.1487, 0.2964, -0.004, -0.4706, 0.31570000000000004, 0.25170000000000003, 0.7874, -0.0023, 0.7914, 0.0078000000000000005, 0.0026000000000000003, 0.5991000000000001, ... | 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(3) @ Z(7)) + 7.5 * (Z(5) @ Z(0)) + 7.5 * (Z(5) @ Z(7)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(10) @ Z(6)) + 7.5 * (Z(11) @ Z(7)) + 7.5 * (Z(11) @ Z(3)) + 7.5 * (Z(11) @ Z(10)) + 7.5 * (Z(9) @ Z(10)) + 7.5 * (Z(9) @ Z(11)) + 7.5 * (Z(4) @ Z(9)) + 7.5 * Z(0) + -7.0 * Z(1) + ... | 18 | 12 | 4 | {"smallest_eigenvalues": [-148.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -126.5, "smallest_bitstrings": ["011111001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.7867) q[0];
rz(0.0088) q[0];
rx(-0.0015) q[1];
rz(0.5565) q[1];
rx(0.0018) q[2];
rz(0.5874) q[2];
rx(0.1487) q[3];
rz(0.2964) q[3];
rx(-0.004) q[4];
rz(-0.4706) q[4];
rx(0.3157) q[5];
rz(0.2517) q[5];
rx(0.7874) q[6];
rz(-0.0023) q[6];
rx(0.7914) 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... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
312571784059839439 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[3, 4], [0, 5], [2, 3], [8, 1], [4, 7], [9, 6], [0, 9], [5, 7], [0, 8], [1, 5], [4, 6], [6, 7], [9, 7]]} | {"states": [433, 179], "expectation_value": -0.36098311094964974, "params": [0.7547, 0.1615, 0.7210000000000001, 0.0054, 0.8807, 0.17470000000000002, 0.7552, 0.006500000000000001, 0.894, -0.1461, 0.8849, 0.0025, 0.7198, -0.1564, 0.6906, 0.004200000000000001, 0.8899, -0.1579, 0.8793000000000001, 0.0014, 0.87940000000000... | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(9)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(... | 5 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0010110011", "1101001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.7547) q[0];
rz(0.1615) q[0];
rx(0.8807) q[1];
rz(0.1747) q[1];
rx(0.894) q[2];
rz(-0.1461) q[2];
rx(0.7198) q[3];
rz(-0.1564) q[3];
rx(0.8899) q[4];
rz(-0.1579) q[4];
rx(0.8794) q[5];
rz(0.1598) q[5];
rx(0.8532) q[6];
rz(-0.1592) q[6];
rx(0.728) 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": []} |
-7015161781888442216 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 3, 4, 5, 7, 9, 10, 11], [0, 1, 2, 3, 4, 5, 7, 8, 11], [8, 2, 6], [0, 1, 2, 4, 5, 6, 7, 9, 11], [0, 2, 3, 4, 6, 9, 10, 11], [0, 8, 10, 5], [3, 4, 6, 8, 9, 11], [1, 2, 3, 4, 5, 6, 7, 9, 10], [0, 2, 3, 4, 7, 8, 9, 11], [0, 1, 2, 3, 5, 6, 9, 10], [0, 2... | {"states": [3855, 3919], "expectation_value": -2.2142375019806804, "params": [3.1443000000000003, 0.0058000000000000005, 3.1442, 0.0015, 3.1395, 0.004, 3.1391, 0.0076, 0.18580000000000002, 0.0053, 1.5745, 0.0092, 0.2122, 0.0064, 0.17650000000000002, 0.0031000000000000003, 3.1387, 0.003, 3.1394, 0.01, 3.1086, 0.0064, 3.... | 0.05952380952380952 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.10515873015873015 * (Z(5) @ Z(0)) + 0.07936507936507936 * (Z(6) @ Z(1)) + 0.07738095238095238 * (Z(6) @ Z(0)) + 0.13452380952380952 * (Z(6) @ Z(5)) + 0.0734126984126984 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.083333333333333... | 16 | 12 | 1 | {"smallest_eigenvalues": [-2.3333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3309523809523816, "smallest_bitstrings": ["000010110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(3.1443) q[0];
rz(0.0058) q[0];
rx(3.1442) q[1];
rz(0.0015) q[1];
rx(3.1395) q[2];
rz(0.004) q[2];
rx(3.1391) q[3];
rz(0.0076) q[3];
rx(0.1858) q[4];
rz(0.0053) q[4];
rx(1.5745) q[5];
rz(0.0092) q[5];
rx(0.2122) q[6];
rz(0.0064) q[6];
rx(0.1765) 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": []} |
2ee51013acda191f703ffb893493c226 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capac... | {"states": [0, 3], "expectation_value": -8.425439294811433, "params": [-0.0302, -0.07740000000000001, 0.0009000000000000001, 0.0148, -0.00030000000000000003, 0.1424, -0.0021000000000000003, 0.125, 0.0074, 0.1009, -0.0018000000000000002, 0.1621, -0.0014, 0.1168, 0.0044, 0.1511, 0.004, 0.1592, -0.002, 0.1608, -0.0198, 0.... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(4)) + -1.0 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(7)) + -0.75 * (Z(3... | 6 | 10 | 4 | {"smallest_eigenvalues": [-9.25, -9.25, -9.25, -9.25, -9.25, -9.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -8.25, "smallest_bitstrings": ["1111111110", "1110101110", "1111111100", "1111101100", "1110101100", "1111101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0302) q[0];
rz(-0.0774) q[0];
rx(-0.0003) q[1];
rz(0.1424) q[1];
rx(0.0074) q[2];
rz(0.1009) q[2];
rx(-0.0014) q[3];
rz(0.1168) q[3];
rx(0.004) q[4];
rz(0.1592) q[4];
rx(-0.0198) q[5];
rz(0.1247) q[5];
rx(-0.0008) q[6];
rz(0.1453) q[6];
rx(0) 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... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
1f66a53262f397c1cb35ee5d70a20155 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [0, 992], "expectation_value": -21.723686294766143, "params": [[[0.002, 0.0041], [0.0024000000000000002, 0.0034000000000000002], [0.0022, 0.0028], [0.0022, 0.0012000000000000001], [1.6053000000000002, 0.007], [0.0022, 0.0095], [0.0026000000000000003, 0.006500000000000001], [0.0021000000000000003, 0.0059], [-... | -2.5 * (Z(0) @ Z(4)) + -2.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + -2.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(2)) + -3.0 * (Z(5) @ Z(7)) + -3.0 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(5)) + -2.5 * (Z(6) @ Z(7)) + 0.5... | 2 | 10 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.5, "smallest_bitstrings": ["0000011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.002) q[0];
rz(0.0041) q[0];
rx(0.0024) q[1];
rz(0.0034) q[1];
rx(0.0022) q[2];
rz(0.0028) q[2];
rx(0.0022) q[3];
rz(0.0012) q[3];
rx(1.6053) q[4];
rz(0.007) q[4];
rx(0.0022) q[5];
rz(0.0095) q[5];
rx(0.0026) q[6];
rz(0.0065) q[6];
rx(0.0021) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"node": 7} | {"circuits": [], "gradients": []} |
cd719de7de8fbc77489df31212314ecb | 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": [692, 690], "expectation_value": -103.44202880504568, "params": [[[1.5532000000000001, -0.0022], [1.5797, -0.0019], [0.0482, -0.0029000000000000002], [1.0086, 0.1053], [0.3421, 0.124], [0.2494, 0.19060000000000002], [0.031200000000000002, 0.023], [0.45370000000000005, 0.5902000000000001], [0.5963, 0.8205], [... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(3) @ Z(1)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(5) @ Z(3)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(7) @ Z(5)) + 8.0 * (Z(6) @ Z(0)) + 8.0 * (Z(6) @ Z(7)) + 8.0 * (Z(8) @ Z(9)) + 5.0 * Z(0) + 13.5 * Z(1) + 5.0 * Z(2) + 22.0 * Z(3) + 13.5 * Z(5) + 1.5 * Z(4)... | 15 | 11 | 2 | {"smallest_eigenvalues": [-112.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -107.5, "smallest_bitstrings": ["10101001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.5532) q[0];
ry(1.5797) q[1];
ry(0.0482) q[2];
ry(1.0086) q[3];
ry(0.3421) q[4];
ry(0.2494) q[5];
ry(0.0312) q[6];
ry(0.4537) q[7];
ry(0.5963) q[8];
ry(-0.081) q[9];
ry(0.631) 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], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
6172ec2f30329f156b64312801e66ef4 | 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": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 6... | {"states": [39, 47], "expectation_value": -7.209849215427568, "params": null, "bitstrings": ["1011000", "1010000"], "total_optimization_steps": 43, "probabilities": [0.42743550266038083, 0.4274887006346332], "optimization_time": 38.450554847717285} | -1.25 * (Z(0) @ Z(2)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -1.0 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -1.5 * Z(2) + -0.25 * Z(0) + 1.75 * Z(1) + -1.5 * Z(3) + -0.25 * Z(6) + 1.25 * Z(4) + 0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.5, "smallest_bitstrings": ["1010000", "1011010", "1011000"]} | 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];
cry(1.5708) q[1], q[4];
cry(1.5706) q[1], q[5];
cry(-1.5626) q[6], q[0];
ry(1.0823) q[6];
cry(-0.4707) q[5], q[0];
cry(0.3045) q[1], q[6];
ry(-1.331) q[2];
cry(-0.2421) q[4], q[0];
cry(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];\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", "... |
3894849651364386583 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 2, 3, 5, 6, 11], [0, 3, 7, 8, 9, 11], [0, 2, 3, 4, 7, 8, 10, 11], [2, 3, 4, 9, 11], [0, 1, 4, 5, 8, 9, 10, 11], [0, 5, 7, 9, 11], [1, 2, 4, 5, 8, 10], [1, 2, 4, 7], [0, 1, 3, 5, 6, 7, 8], [3, 4, 5, 6, 8, 10], [0, 3, 6, 8, 9, 11], [1, 2, 3, 8, 9, 11], ... | {"states": [3309, 3821], "expectation_value": -4.5133312238657, "params": [3.1394, 0.0063, 3.1441000000000003, 0.0058000000000000005, 1.602, 0.0047, 0.5202, 0.0034000000000000002, 3.1438, 0.0032, 3.1392, 0.0095, 3.1386000000000003, 0.0001, 0.5559000000000001, 0.0067, 3.1435, 0.0088, 3.1394, 0.0006000000000000001, 0.462... | 0.2523809523809524 * (Z(1) @ Z(2)) + 0.22738095238095235 * (Z(3) @ Z(2)) + 0.21666666666666665 * (Z(3) @ Z(1)) + 0.1761904761904762 * (Z(5) @ Z(2)) + 0.22738095238095235 * (Z(5) @ Z(1)) + 0.22499999999999998 * (Z(5) @ Z(3)) + 0.11666666666666667 * (Z(6) @ Z(2)) + 0.11428571428571427 * (Z(6) @ Z(1)) + 0.1654761904761904... | 16 | 12 | 1 | {"smallest_eigenvalues": [-4.854761904761906], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.840476190476189, "smallest_bitstrings": ["000100010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(3.1394) q[0];
rz(0.0063) q[0];
rx(3.1441) q[1];
rz(0.0058) q[1];
rx(1.602) q[2];
rz(0.0047) q[2];
rx(0.5202) q[3];
rz(0.0034) q[3];
rx(3.1438) q[4];
rz(0.0032) q[4];
rx(3.1392) q[5];
rz(0.0095) q[5];
rx(3.1386) q[6];
rz(0.0001) q[6];
rx(0.5559) 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": []} |
90ed954541db23a75eecb07977c28089 | 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": 0, "target": 5}, {"source": 1, "target": 4}, {"source": ... | {"states": [20, 3], "expectation_value": -1.4755337864164317, "params": [[-0.07300000000000001, -0.053200000000000004, -0.026600000000000002], [0.0789, 0.0665, 0.0555]], "bitstrings": ["101011", "111100"], "total_optimization_steps": 10, "probabilities": [0.025587241519793108, 0.02715890921044353], "optimization_time":... | 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(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(3) + ... | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["101011", "100111", "111100"]} | 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(-0.073) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.073) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.073) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(-0.073) q[3];
cx q[2], q[3];
cx q[1], q[4];
rz(-0.073... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} |
44dacfe202593d38d27b1900f1e3c9cb | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [44, 112], "expectation_value": -0.30187507250786305, "params": [[0.0745], [-0.0651]], "bitstrings": ["1010011", "0001111"], "total_optimization_steps": 10, "probabilities": [0.008839255352039242, 0.008840401142619438], "optimization_time": 3.0704712867736816} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * Z(4) + -1.0 * Z(0) + -2.0 * Z(5) + -1.5 * Z(6) + 0.0 * Z(1) + -1.0 * Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1010011", "0010111", "0001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(0.0745) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(0.0745) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(0.0745) q[5];
cx q[0], q[5];
cx q[4], q[6];
rz(0.0745) q[6];
cx q[4], q[6];
cx q[0], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(x0)... | null | {"circuits": [], "gradients": []} |
9ccf6afa8b8c5406913704edea133762 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 1, "source": 1, "target": 3}, {"capac... | {"states": [512, 511], "expectation_value": -12.752881976985895, "params": [[[0.0037, -0.382], [-0.004200000000000001, -0.014100000000000001], [0.0014, 0.0027], [0.0025, -0.0028], [0.004, 0.0031000000000000003], [0.0029000000000000002, 0.0023], [0.0009000000000000001, 0.0032], [0.0036000000000000003, -0.005500000000000... | -0.25 * (Z(0) @ Z(7)) + -0.75 * (Z(8) @ Z(7)) + -0.25 * (Z(8) @ Z(0)) + -0.5 * (Z(3) @ Z(7)) + -0.25 * (Z(1) @ Z(3)) + -0.75 * (Z(4) @ Z(8)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + -0.75 * (Z(6) @ Z(7)) + -0.75 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6... | 15 | 10 | 4 | {"smallest_eigenvalues": [-13.25, -13.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.25, "smallest_bitstrings": ["1000000000", "1000010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0037) q[0];
ry(-0.0042) q[1];
ry(0.0014) q[2];
ry(0.0025) q[3];
ry(0.004) q[4];
ry(0.0029) q[5];
ry(0.0009) q[6];
ry(0.0036) q[7];
ry(-0.3651) q[8];
ry(-0.0425) 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": []} |
b5b49a6fced492fe8fd91e1e7f682614 | connected_components | 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": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [63, 31], "expectation_value": -2.062166322741403, "params": [[0.0736], [-0.0716]], "bitstrings": ["000000", "100000"], "total_optimization_steps": 10, "probabilities": [0.027722898009823617, 0.028310843484106042], "optimization_time": 1.1656980514526367} | -2.5 * (Z(1) @ Z(2)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 1.5 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(4)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(5) + -0.5 * Z(0) | 1 | 6 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["100000"]} | 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[1];
rz(-0.368) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.368) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.368) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(-0.368) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(-0.368... | 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[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(x0) q[3]... | {"node": 1} | {"circuits": [], "gradients": []} |
a603da1a0fa48a0c889ceccbdae517d6 | 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": 1, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, {"source": 3, "target": 6}, ... | {"states": [56, 42], "expectation_value": -2.9890913274388606, "params": null, "bitstrings": ["1000111", "1010101"], "total_optimization_steps": 32, "probabilities": [0.06071915258688038, 0.8639379148724238], "optimization_time": 29.799866199493408} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(4) + -0.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(6) + -0.5 * Z(3) | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["1000111", "0111100", "0110101", "1010101", "0101011", "1011100", "0100111", "0111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5681) q[4];
ry(-1.4449) q[6];
ry(1.4417) q[3];
cry(-1.0398) q[5], q[2];
cry(-1.0342) q[1], q[0];
ry(0.7022) q[5];
ry(0.7003) q[1];
ry(-0.4578) q[2];
cry(0.4969) q[3], q[5];
ry(-0.4549) q[0];
cry(0.4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[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", ... |
902615253292382298 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[8, 9, 2], [0, 10, 4], [1, 2, 3, 9], [9, 5], [10, 6], [0, 7]]} | {"states": [1923, 1921], "expectation_value": -1.9552060281933623, "params": [1.4041000000000001, 1.3946, 1.3975, 1.3918000000000001, 1.3960000000000001, 1.3988, 1.3872, 0.633, 0.6624, 0.6469, 0.4626, 0.5865, 0.0378, 0.0011, 0.1327, 0.12140000000000001, 0.22760000000000002, 0.1933, 0.7312000000000001, 0.734, 1.3683, 1.... | 0.16666666666666666 * (Z(9) @ Z(10)) + 0.25 * (Z(3) @ Z(10)) + 0.16666666666666666 * (Z(3) @ Z(9)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(10)) + 0.08333333333333333 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(4) ... | 14 | 11 | 1 | {"smallest_eigenvalues": [-2.4166666666666665, -2.4166666666666665, -2.4166666666666665, -2.4166666666666665, -2.4166666666666665, -2.4166666666666665, -2.4166666666666665, -2.4166666666666665, -2.4166666666666665, -2.4166666666666665, -2.4166666666666665, -2.4166666666666665], "number_of_smallest_eigenvalues": 12, "fi... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.4041) q[0];
ry(1.3975) q[1];
ry(1.396) q[2];
ry(1.3872) q[3];
ry(0.6624) q[4];
ry(0.4626) q[5];
ry(0.0378) q[6];
ry(0.1327) q[7];
ry(0.2276) q[8];
ry(0.7312) q[9];
ry(1.3683) q[10];
crx(1.336) q[10], q[0];
crx(0.0338) q[9], q[10];
crx(1.375) q[8], q[9];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
613ef125dc4e28340a6427c0ac6373f5 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 3, "source": 3, "target": 2}, {"capacity": 3, "source": 3, "target": 6... | {"states": [25596, 58364], "expectation_value": -9.217714026102453, "params": [0.1995, 0.19940000000000002, 0.1967, 0.1962, 0.20650000000000002, 0.2015, 0.0045000000000000005, 0.0023, -0.0008, 0.006500000000000001, -0.0047, 0.0004, 0.1978, 0.1991, 0.20370000000000002, 0.2021, 0.2029, 0.20570000000000002, 0.197700000000... | 0.875 * (Z(0) @ Z(1)) + 0.875 * (Z(2) @ Z(1)) + 0.4375 * (Z(2) @ Z(0)) + 2.0 * (Z(6) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 2.0 * (Z(9) @ Z(7)) + 1.0 * (Z(9) @ Z(6)) + 1.0 * (Z(9) @ Z(8)) + 1.0 * (Z(10) @ Z(11)) + 3.0 * (Z(12) @ Z(11)) + 1.5 * (Z(12) @ Z(10)) + -0.5 * (Z(3) @ Z(13)) + 1.0 * (Z(14) @ Z(13... | 14 | 16 | 4 | {"smallest_eigenvalues": [-37.62499999999971], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -36.74999999999965, "smallest_bitstrings": ["0001110000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(0.1995) q[0];
ry(0.1967) q[1];
ry(0.2065) q[2];
ry(0.0045) q[3];
ry(-0.0008) q[4];
ry(-0.0047) q[5];
ry(0.1978) q[6];
ry(0.2037) q[7];
ry(0.2029) q[8];
ry(0.1977) q[9];
ry(0.2029) q[10];
ry(0.1976) q[11];
ry(0.197) q[12];
ry(0.2072) q[13];
ry(-0.0039) q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
44bf747c04df002d53e645dfd7a3d1de | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, {"source": 4, "target": 5}, ... | {"states": [101, 52], "expectation_value": -0.749987205604683, "params": [[0.0008, 1.5734000000000001, 1.5685, 0.0023, 0.9164, -0.0026000000000000003, 1.5732000000000002], [0.0009000000000000001, 0.004200000000000001, -0.0023, 0.9188000000000001, -1.5683, 0.0064, 0.0037], [0.0016, 2.2208, 1.5733000000000001, 0.00260000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -0.75 * Z(0) + 0.0 * Z(1) + -0.25 * Z(2) + -0.75 * Z(3... | 9 | 7 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["1001011", "1011010", "1001101"]} | 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];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(0.0008) q[0];
rx(1.5734) q[1];
rx(1.5685) q[2];
rx(0.0023) q[3];
rx(0.9164) q[4];
rx(-0.0026) q[5];
rx(1.5732) ... | 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": []} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.