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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
df4c9b00522dd4ee8987b90b3e70e7c4 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [146, 154], "expectation_value": -6.244879288223936, "params": [0.4998, 0.0008, 0.49820000000000003, 0.001, -0.0, -0.3052, 0.0016, -0.3095, 0.0315, 0.3262, 0.031200000000000002, 0.33690000000000003, 0.49960000000000004, 0.10160000000000001, 0.49710000000000004, 0.060700000000000004, 0.3552, -0.0037, 0.3593, ... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + -2.0 * Z(5) + -0.5 * Z(0) + -1.5 *... | 7 | 8 | 3 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["01100101", "00011101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4998) q[0];
rz(0.0008) q[0];
rx(0) q[1];
rz(-0.3052) q[1];
rx(0.0315) q[2];
rz(0.3262) q[2];
rx(0.4996) q[3];
rz(0.1016) q[3];
rx(0.3552) q[4];
rz(-0.0037) q[4];
rx(0.0056) q[5];
rz(0.2868) q[5];
rx(0.4997) q[6];
rz(-0.0003) q[6];
rx(0) q[7];
rz(0.3123) 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] x11;
input float[64] x12;
input float[64] x13;
inpu... | null | {"circuits": [], "gradients": []} |
8a5dc9be309c81780f6428266fc77bbc | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 1, "target": 2}]} | {"states": [374, 371], "expectation_value": -6.299442942899475, "params": null, "bitstrings": ["010001001", "010001100"], "total_optimization_steps": 88, "probabilities": [0.15143116822598657, 0.6686414346247994], "optimization_time": 209.41291689872742} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.25 * (Z(8) @ Z(3)) + 0.5 * (Z(8... | 1 | 9 | 3 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["100010001", "010001100", "100001010"]} | 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[7];
ry(1.5706) q[3];
ry(1.5706) q[2];
cry(-1.0342) q[6], q[8];
cry(-1.0342) q[4], q[1];
ry(0.7003) q[4];
cry(-0.7092) q[0], q[1];
cry(1.1516) q[4], q[0];
cry(-0.9529) q[4], q[... | null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 2, "target": 1}]}} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) 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... |
2fe717ea46813ceed4568f553b83653e | 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": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": ... | {"states": [0, 1280], "expectation_value": -13.306146991884031, "params": [-0.0005, -0.0005, 0.6919000000000001, 0.6559, 0.2932, 0.1155, -0.22610000000000002, 0.2776, -0.0045000000000000005, -0.0013000000000000002, 0.0057, -0.0146, -0.004200000000000001, -0.0005, -0.0007, 0.0059, 0.0061, -0.0002, -0.040600000000000004,... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(8) @ Z(0)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(8)) + -0.75 * (Z(4) @ Z(8)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -1.5 * (Z(9) @ Z(4)) + -0.5 * (Z(10) @ Z(5)) + -0.25 * (Z(6) @ Z(... | 14 | 12 | 3 | {"smallest_eigenvalues": [-13.75, -13.75, -13.75, -13.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -12.75, "smallest_bitstrings": ["100000000000", "100000000011", "101011111111", "100000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0005) q[0];
ry(0.6919) q[1];
ry(0.2932) q[2];
ry(-0.2261) q[3];
ry(-0.0045) q[4];
ry(0.0057) q[5];
ry(-0.0042) q[6];
ry(-0.0007) q[7];
ry(0.0061) q[8];
ry(-0.0406) q[9];
ry(0.0098) q[10];
ry(-0.0047) q[11];
crx(-1.1358) q[11], q[0];
crx(0.3179) q[10], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
eabc5a01649d5bc499596bd844e547e9 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 3, "so... | {"states": [16516, 49284], "expectation_value": -19.021572952961815, "params": [[[-0.3483, 0.0055000000000000005, 0.006, 0.0059], [0.5959, -0.007200000000000001, 0.4318, 0.0081], [-0.005, 0.5895, 0.0079, 0.5874], [-0.006500000000000001, 0.8267, 0.005, 0.0009000000000000001], [0.0037, 0.36310000000000003, 0.006200000000... | 0.5 * (Z(0) @ Z(7)) + 2.0 * (Z(8) @ Z(7)) + 1.0 * (Z(8) @ Z(0)) + 1.0 * (Z(1) @ Z(7)) + 0.8888888888888888 * (Z(1) @ Z(0)) + 2.0 * (Z(1) @ Z(8)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(8)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -1.0 * (Z(2) @ Z(8)) + -0.5 * (Z(12) @ Z(7)) + -1.0 * (Z(1... | 12 | 16 | 4 | {"smallest_eigenvalues": [-19.33333333333302], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.333333333332853, "smallest_bitstrings": ["0011111101111011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(-0.3483) q[0];
rz(0.0055) q[0];
ry(0.5959) q[1];
rz(-0.0072) q[1];
ry(-0.005) q[2];
rz(0.5895) q[2];
ry(-0.0065) q[3];
rz(0.8267) q[3];
ry(0.0037) q[4];
rz(0.3631) q[4];
ry(0.004) q[5];
rz(0.7035) q[5];
ry(0.0018) q[6];
rz(0.4072) q[6];
ry(-0.0477) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
42fc1cab65130010b16c5206f9faaa99 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [23, 7], "expectation_value": -19.832801968549564, "params": [0.0741, 0.3009, 0.0012000000000000001, 0.2972, 0.042, -0.114, 0.39280000000000004, -0.1285, 0.4349, -0.0092, 0.5948, -0.0007, 0.5887, 0.0092, 0.5899, -0.0029000000000000002, 0.0666, 0.2977, -0.0057, 0.3034, 0.035500000000000004, -0.1534, 0.3374000... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 4 | 8 | 4 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0741) q[0];
rz(0.3009) q[0];
rx(0.0012) q[1];
rz(0.2972) q[1];
rx(0.042) q[2];
rz(-0.114) q[2];
rx(0.3928) q[3];
rz(-0.1285) q[3];
rx(0.4349) q[4];
rz(-0.0092) q[4];
rx(0.5948) q[5];
rz(-0.0007) q[5];
rx(0.5887) q[6];
rz(0.0092) q[6];
rx(0.5899) 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[... | {"k": 5} | {"circuits": [], "gradients": []} |
95f1851442711fded51a189a201b431f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capac... | {"states": [317, 305], "expectation_value": -2.3825331586253973, "params": [[-0.1363], [0.1476]], "bitstrings": ["1011000010", "1011001110"], "total_optimization_steps": 20, "probabilities": [0.002809501322254434, 0.0028995307433032523], "optimization_time": 2.767932891845703} | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -1.25 * (Z(1) @ Z(5)) + -0.25 * (Z(8) @ Z(2)) + -0.75 * (Z(8) @ Z(3)) + -0.5 * (Z(9) @ Z(2)) + 1.25 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(5)) + -1.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(8)) + -0.75 * (Z(4) @ Z(9)) + -0.5 * (Z(7) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-11.0, -11.0, -11.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.0, "smallest_bitstrings": ["1011001110", "1011000110", "1011000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[2], q[0];
rz(0.1363) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.1363) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.1363) q[3];
cx q[0], q[3];
cx q[2], q[5];
rz(0.0682) q[5];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
979e20fa342d097a41a2cd99b004ee1f | 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": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [86, 104], "expectation_value": -0.060879780869023764, "params": [[0.0318], [-0.0351]], "bitstrings": ["0101001", "0010111"], "total_optimization_steps": 10, "probabilities": [0.00803912970354831, 0.008041214349598742], "optimization_time": 1.329911231994629} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * Z(6) + 0.0 * Z(0) + -1.0 * Z(1) + -1.5 * Z(4) + -1.5 * Z(5) + -1.0 * Z(3) + 0.0 * Z(2) | 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": ["0101011", "0010111", "0101101", "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[6], q[0];
rz(0.0318) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(0.0318) q[1];
cx q[6], q[1];
cx q[6], q[4];
rz(0.0318) q[4];
cx q[6], q[4];
cx q[1], q[4];
rz(0.0318) q[4];
cx q[1], q[4];
cx q[6], 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[6], q[0];
rz(x0) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(x0) q[1];
cx q[6], q[1];
cx q[6], q[4];
rz(... | null | {"circuits": [], "gradients": []} |
6848cbb52cbdecd61a5c00f49303e646 | 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": [1317, 1315], "expectation_value": -110.30019623422484, "params": [[[1.5918, 0.0108], [-0.0024000000000000002, 0.006500000000000001], [1.5692000000000002, 1.1208], [0.0024000000000000002, 1.1154], [0.0025, 0.0023], [1.4801, 1.1089], [0.0071, 1.1097000000000001], [0.0649, -0.443], [-0.2997, 0.7305], [0.6976, ... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(2) @ Z(0)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(8) @ Z(0)) + 7.5 * (Z(8) @ Z(2)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10) @ Z(1)) + 7.5 * (Z(10) @ Z(8)) + 7.5 * (Z(10) @ Z(9)) + 2.0 * Z(1) + 16.0 * Z(0) + 17.0 * Z(2) + -6.0 * Z(3) + -4.0 * Z(6) + 2.5 * Z(5) + 15.5 * Z(8) + 7... | 15 | 11 | 2 | {"smallest_eigenvalues": [-118.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -105.5, "smallest_bitstrings": ["01011011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.5918) q[0];
ry(-0.0024) q[1];
ry(1.5692) q[2];
ry(0.0024) q[3];
ry(0.0025) q[4];
ry(1.4801) q[5];
ry(0.0071) q[6];
ry(0.0649) q[7];
ry(-0.2997) q[8];
ry(0.6976) q[9];
ry(1.859) 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]}"} | {"circuits": [], "gradients": []} |
7bc4dde9a09d0b94c5097b219891d81a | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [57019, 57015], "expectation_value": -19.287807447236556, "params": null, "bitstrings": ["0010000101000100", "0010000101001000"], "total_optimization_steps": 100, "probabilities": [0.1380348713554944, 0.6661905481251051], "optimization_time": 802.9686651229858} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.25 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(... | 1 | 16 | 3 | {"smallest_eigenvalues": [-19.999999999999932], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999893, "smallest_bitstrings": ["0010000101001000"]} | 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];
ry(1.5709) q[5];
ry(1.5709) q[3];
cry(1.5708) q[3], q[14];
cry(1.5708) q[5], q[8];
cry(1.5708) q[5], q[15];
cry(1.5708) q[3]... | null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 0}, {"source": 3, "target": 2}, {"source": 3, "target": 0}, {"source": 2, "target": 0}]}} | {"circuits": ["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];\nry(1.5709) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3... |
-1187394159903664230 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[1, 2], [0, 3, 4], [2, 4], [2, 3], [0, 1, 4], [1, 3, 4]]} | {"states": [14, 11], "expectation_value": -2.1623633967602243, "params": null, "bitstrings": ["10001", "10100"], "total_optimization_steps": 19, "probabilities": [0.001139361255264534, 0.9975098098681684], "optimization_time": 15.420032501220703} | 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.3333333333333333 * (Z(4) @ Z(3)) + 0.0 * Z(2) + 0.33333333333333... | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.1666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["10100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(1.4449) q[4];
cry(-1.4433) q[4], q[2];
ry(1.4421) q[3];
ry(1.2253) q[1];
cry(-1.2045) q[4], q[0];
ry(-0.1288) q[2];
cry(0.3241) q[4], q[1];
cry(-0.3022) q[1], q[0];
cry(0.1214) q[1], q[3];
cry(0.074) q[3], q[4];
cry(-... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... |
7549229119702457988 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 3, 6, 9, 10], [9, 4, 5], [10, 5], [0, 2, 6, 9, 11], [8, 3, 5], [1, 3, 5, 6, 7], [8, 3, 11], [2, 3, 4, 5, 6], [0, 4, 7, 10, 11], [9, 5, 7], [1, 4, 6, 8, 9, 11], [1, 2, 4], [0, 9, 2, 7], [0, 1, 2, 6, 8], [8, 9, 2, 7], [0, 3, 11], [0, 1, 3, 5, 7], [2, 3,... | {"states": [2671, 3695], "expectation_value": -4.318902372973482, "params": [1.5768, 1.5716, 0.8671000000000001, 0.8601000000000001, 1.1004, 1.0696, 0.1786, 0.18080000000000002, 0.1875, 0.1804, 1.5712000000000002, 1.5661, 1.5718, 1.5738, 0.0887, 0.09290000000000001, 1.5704, 1.5756000000000001, 1.5655000000000001, 1.572... | 0.13333333333333333 * (Z(4) @ Z(5)) + 0.18333333333333335 * (Z(8) @ Z(5)) + 0.23333333333333334 * (Z(8) @ Z(4)) + 0.05 * (Z(11) @ Z(5)) + 0.26666666666666666 * (Z(11) @ Z(4)) + 0.13333333333333333 * (Z(11) @ Z(8)) + 0.08333333333333334 * (Z(2) @ Z(5)) + 0.08333333333333334 * (Z(2) @ Z(4)) + 0.08333333333333334 * (Z(2) ... | 13 | 12 | 1 | {"smallest_eigenvalues": [-4.7333333333333325], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.6000000000000005, "smallest_bitstrings": ["000110010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.5768) q[0];
ry(0.8671) q[1];
ry(1.1004) q[2];
ry(0.1786) q[3];
ry(0.1875) q[4];
ry(1.5712) q[5];
ry(1.5718) q[6];
ry(0.0887) q[7];
ry(1.5704) q[8];
ry(1.5655) q[9];
ry(1.5795) q[10];
ry(1.5731) q[11];
crz(0.0003) q[11], q[0];
crz(-0.0036) q[10], q[11];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
9e72b7dd0d69a46b7f007aaed5517323 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}]} | {"states": [25, 26], "expectation_value": -3.624930677546186, "params": null, "bitstrings": ["100110", "100101"], "total_optimization_steps": 26, "probabilities": [1.642178064829427e-05, 0.9999653517514536], "optimization_time": 27.066534996032715} | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(1)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(3) @ Z(1... | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.625, "smallest_bitstrings": ["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[0];
ry(-1.5158) q[3];
ry(-1.4449) q[5];
ry(1.4447) q[1];
ry(1.4414) q[4];
ry(1.441) q[2];
cry(-0.1259) q[4], q[5];
cry(-0.055) q[4], q[3];
cry(0.1223) q[1], q[2];
cry(0.1218) q[2], q[4];
cry(0.1187)... | 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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
db784e556d41a28cc9d16f62f2178a6a | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4},... | {"states": [2032, 2047], "expectation_value": -1.3096376234699423, "params": [[-0.0337], [0.0449]], "bitstrings": ["00000001111", "00000000000"], "total_optimization_steps": 10, "probabilities": [0.0006671936783438328, 0.0006743893834790234], "optimization_time": 0.944922924041748} | -2.0 * (Z(0) @ Z(3)) + -3.5 * (Z(4) @ Z(3)) + -3.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + -3.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -3.5 * (Z(2) @ Z(4)) + -1.5 * (Z(2) @ Z(1)) + -2.5 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -3.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-34.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.5, "smallest_bitstrings": ["00000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[3], q[0];
rz(0.1348) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(0.2359) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.2359) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(-0.0337) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[3], q[0];
rz(x0) q[0];
c... | {"node": 8} | {"circuits": [], "gradients": []} |
0541faf635a6399f550a5b5935bfa17a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [5, 33], "expectation_value": -3.9741067800335346, "params": null, "bitstrings": ["111010", "011110"], "total_optimization_steps": 17, "probabilities": [0.07397901535986358, 0.9005745124138398], "optimization_time": 10.300607919692993} | 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(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["010111", "111010", "111001", "100111", "011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[1];
ry(-1.5681) q[4];
ry(-1.4449) q[2];
ry(1.4417) q[5];
cry(-1.0398) q[0], q[3];
ry(0.7022) q[0];
ry(-0.4578) q[3];
cry(0.4969) q[5], q[0];
cry(-0.3761) q[5], q[3];
cry(-0.1216) q[5], q[2];
cry(0.1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
f9cb41d5496b3ed030d08192c7626a1d | 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": [119, 55], "expectation_value": -80.63003153080334, "params": [[[1.5751000000000002, 0.0021000000000000003], [0.35000000000000003, -0.0018000000000000002], [-0.0021000000000000003, -0.0026000000000000003], [0.7285, 0.339], [1.4047, 0.0134], [1.7930000000000001, 0.0531], [0.028300000000000002, 0.3806], [0.155... | 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(0) @ Z(7)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(8) @ Z(0)) + 7.0 * (Z(9) @ Z(7)) + 7.0 * (Z(9) @ Z(0)) + 7.0 * (Z(9) @ Z(8)) + 4.5 * Z(3) + 8.5 * Z(4) + 8.0 * Z(5) + 2.5 * Z(6) + 13.0 * Z(7) + 11.0 * Z(0) + 17.0 * Z(8) + 12.5 *... | 15 | 10 | 2 | {"smallest_eigenvalues": [-90.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -87.5, "smallest_bitstrings": ["1111001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.5751) q[0];
ry(0.35) q[1];
ry(-0.0021) q[2];
ry(0.7285) q[3];
ry(1.4047) q[4];
ry(1.793) q[5];
ry(0.0283) q[6];
ry(0.155) q[7];
ry(0.0242) q[8];
ry(0.159) 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];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
3be62d904e3c491ed9eeb750b53bffe0 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 3, "source": 0, "t... | {"states": [110, 109], "expectation_value": -21.81200979113094, "params": [[-0.0236, -0.009000000000000001, -0.009000000000000001], [0.046, 0.054400000000000004, 0.0626]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.013152808872245592, 0.013685604920718585], "optimization... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 6.0 * Z(0) + 18.0 * ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "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(-0.2124) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(-0.2124) q[4];
cx q[1], q[4];
cx q[0], q[2];
rz(-0.2124) q[2];
cx q[0], q[2];
cx q[4], q[2];
rz(-0.2124) q[2];
cx q[4], q[2];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
adf83a7a772b7f772a66d54f36fd7522 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [128, 127], "expectation_value": -6.30626214825011, "params": [[[-0.0014, -0.2308], [-0.0064, -0.0015], [0.0026000000000000003, -0.0027], [0.0022, -0.0027], [0.0005, -0.0027], [-0.0021000000000000003, -0.0026000000000000003], [-0.0018000000000000002, 0.1014], [1.6566, 0.0021000000000000003]], [[0.19490000000... | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z... | 15 | 8 | 2 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.0014) q[0];
ry(-0.0064) q[1];
ry(0.0026) q[2];
ry(0.0022) q[3];
ry(0.0005) q[4];
ry(-0.0021) q[5];
ry(-0.0018) q[6];
ry(1.6566) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
-5915888265279990789 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 3, 5, 6, 7, 8], [8, 1, 4], [0, 1, 2, 3, 7, 8], [4, 6], [0, 1, 6], [8, 1, 5, 7]]} | {"states": [199, 167], "expectation_value": -0.6752673999556315, "params": [[0.3528], [-0.37260000000000004]], "bitstrings": ["100111000", "101011000"], "total_optimization_steps": 40, "probabilities": [0.00495306565253113, 0.004953065652531131], "optimization_time": 34.951945066452026} | 0.06666666666666667 * (Z(2) @ Z(3)) + 0.03333333333333333 * (Z(5) @ Z(3)) + 0.03333333333333333 * (Z(5) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(3)) + 0.03333333333333333 * (Z(6) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(5)) + 0.06666666666666667 * (Z(7) @ Z(3)) + 0.06666666666666667 * (Z(7) @ Z(2)) + 0.11666666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.8166666666666669], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8166666666666664, "smallest_bitstrings": ["101011000"]} | 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[2];
rz(0.047) q[2];
cx q[3], q[2];
cx q[3], q[5];
rz(0.0235) q[5];
cx q[3], q[5];
cx q[2], q[5];
rz(0.0235) q[5];
cx q[2], q[5];
cx q[3], q[6];
rz(0.0235) q[6];
cx q[3], q[6];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} |
eaf152c9366c1fc70b9994ec462b6b4c | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 5}, {"weight": 19, "source": 0, "target": 2}, {"weight": 12, "source": 0, "target": 3}, {"weight": 1... | {"states": [123, 122], "expectation_value": -16.148741589341082, "params": [[-0.0381, -0.0081, -0.0219], [0.057100000000000005, 0.0287, 0.0357]], "bitstrings": ["10000100", "10000101"], "total_optimization_steps": 10, "probabilities": [0.010370238258413576, 0.012301626722701095], "optimization_time": 6.228045701980591} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.2667) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2667) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2667) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2667) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
6454289479109820289 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 5, 6], [0, 1, 2, 3, 4], [0, 2, 3, 4, 6], [2, 5], [0, 1, 2, 6], [1, 2, 3, 6], [0, 3, 5]]} | {"states": [120, 89], "expectation_value": -0.05356160866881865, "params": [[-0.0627], [0.0728]], "bitstrings": ["0000111", "0100110"], "total_optimization_steps": 10, "probabilities": [0.008181978953066268, 0.008181978953066271], "optimization_time": 2.5397491455078125} | 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.13333333333333333 * (Z(0) @ Z(1)) + 0.13333333333333333 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.21666666666666667 * (Z(2) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(6... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.7333333333333332, -1.7333333333333332], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.6499999999999997, "smallest_bitstrings": ["0100110", "0000111"]} | 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[5], q[1];
rz(-0.0209) q[1];
cx q[5], q[1];
cx q[5], q[6];
rz(-0.0209) q[6];
cx q[5], q[6];
cx q[1], q[6];
rz(-0.0418) q[6];
cx q[1], q[6];
cx q[5], q[0];
rz(-0.0209) q[0];
cx q[5], q[0];
cx q[1], 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... | null | {"circuits": [], "gradients": []} |
839e49943c280a605024f1eaa388ffdd | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capaci... | {"states": [0, 1], "expectation_value": -4.612407800570806, "params": [[[0.0066, 0.18180000000000002], [0.004, 0.3019], [0.0012000000000000001, 0.30910000000000004], [0.0008, 0.3095], [0.0009000000000000001, 0.24400000000000002], [0.4021, 0.0026000000000000003]], [[-0.0021000000000000003, 0.2506], [-0.0033, 0.178000000... | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + 1.5 * (Z(5) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + 1.5 * Z(5) + -1.0 * Z(3) + 0.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0066) q[0];
rz(0.1818) q[0];
rx(0.004) q[1];
rz(0.3019) q[1];
rx(0.0012) q[2];
rz(0.3091) q[2];
rx(0.0008) q[3];
rz(0.3095) q[3];
rx(0.0009) q[4];
rz(0.244) q[4];
rx(0.4021) q[5];
rz(0.0026) q[5];
rx(-0.0021) q[0];
rz(0.2506) q[0];
rx(-0.0033) 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[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
4e9bb463668696cd18bf8a38f6452359 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 7}, {"weight": 19, "source": 1, "target": 7}, {"weight": 15, "sourc... | {"states": [457, 329], "expectation_value": -41.02917373361528, "params": [[[0.9989, 0.0021000000000000003], [0.7805000000000001, 0.0935], [0.9966, 0.0015], [-0.0043, -0.5387000000000001], [0.0023, 0.7514000000000001], [0.9989, -0.0015], [0.7794000000000001, 0.1134], [-0.0012000000000000001, -0.5799000000000001], [1.00... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(5) @ Z(6)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(8) @ Z(7)) + 3.5 * Z(1) + 3.0 * Z(0) + 5.5 * Z(... | 1 | 9 | 2 | {"smallest_eigenvalues": [-69.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.0, "smallest_bitstrings": ["010110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.9989) q[0];
rz(0.0021) q[0];
rx(0.7805) q[1];
rz(0.0935) q[1];
rx(0.9966) q[2];
rz(0.0015) q[2];
rx(-0.0043) q[3];
rz(-0.5387) q[3];
rx(0.0023) q[4];
rz(0.7514) q[4];
rx(0.9989) q[5];
rz(-0.0015) q[5];
rx(0.7794) q[6];
rz(0.1134) q[6];
rx(-0.0012) 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[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
ac7de9b534c44f645a9242250b63cfd7 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 5}, {"weight": 1, "source": 2, "target... | {"states": [39322, 22938], "expectation_value": -2.005469012774527, "params": [[[3.1397, 0.009300000000000001], [1.6216000000000002, 0.0078000000000000005], [3.1397, 0.0059], [-1.2184000000000001, 0.0049], [3.1384000000000003, 0.0088], [0.0015, 0.009600000000000001], [3.1397, 0.0095], [0.0022, 0.008], [3.1392, 0.008700... | 0.25 * (Z(0) @ Z(1)) + 8.680555555555556e-05 * (Z(2) @ Z(0)) + 8.680555555555556e-05 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00013020833333333333 * (Z(4) @ Z(0)) + -0.00078125 * (Z(4) @ Z(2)) + 0.00013020833333333333 * (Z(5) @ Z(1)) + -0.00078125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0009548611111111111 * (Z(6... | 2 | 16 | 1 | {"smallest_eigenvalues": [-2.011284722222176], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.011284722222168, "smallest_bitstrings": ["1010011001100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(3.1397) q[0];
rz(0.0093) q[0];
rx(1.6216) q[1];
rz(0.0078) q[1];
rx(3.1397) q[2];
rz(0.0059) q[2];
rx(-1.2184) q[3];
rz(0.0049) q[3];
rx(3.1384) q[4];
rz(0.0088) q[4];
rx(0.0015) q[5];
rz(0.0096) q[5];
rx(3.1397) q[6];
rz(0.0095) q[6];
rx(0.0022) 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[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
3012e1b6018e3f767ff12c1a3a3c35a1 | 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": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [3, 35], "expectation_value": -3.5233306665873423, "params": [[[0.8096, -0.0023], [0.8006000000000001, 0.0006000000000000001], [0.0002, 0.003], [-0.0019, 0.0031000000000000003], [-0.0054, -0.0843], [0.8031, 0.5829], [-0.0195, 0.7759]], [[0.8094, -0.005], [0.8068000000000001, 0.005], [0.0029000000000000002, 0... | 0.5 * (Z(0) @ 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(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -1.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(5) | 15 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1011100", "1001101", "1100011", "0111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.8096) q[0];
ry(0.8006) q[1];
ry(0.0002) q[2];
ry(-0.0019) q[3];
ry(-0.0054) q[4];
ry(0.8031) q[5];
ry(-0.0195) 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(-0.0023) q[0];
ry(0.0006) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5a12fc3b9ebd59a3b68795f0bd90935e | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [13, 50], "expectation_value": -0.5421482406258145, "params": [[-0.0613, -0.0597], [0.0727, 0.07010000000000001]], "bitstrings": ["110010", "001101"], "total_optimization_steps": 10, "probabilities": [0.020172567056101483, 0.022324235421500572], "optimization_time": 4.212572813034058} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -1.0 * Z(1) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(-0.0613) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.0613) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(-0.0613) q[5];
cx q[0], q[5];
cx q[3], q[5];
rz(-0.0613) q[5];
cx q[3], q[5];
cx q[2], q[1];
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;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0... | null | {"circuits": [], "gradients": []} |
6acf208e4a7576448df3aac23e7aee84 | 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": [697, 689], "expectation_value": -83.73450045634472, "params": [0.46240000000000003, 0.3436, 0.8981, 0.1346, 0.045000000000000005, 0.5966, 0.9014000000000001, 0.2466, 0.41290000000000004, 0.3986, 0.8938, 0.0182, 0.8997, 0.1237, 0.4665, 0.2378, 0.0017000000000000001, 0.5377000000000001, 0.0029000000000000002,... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(6) @ Z(0)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(10) @ Z(7)) + 6.5 * (Z(9) @ Z(10)) + 5.0 * Z(0) + 6.5 * Z(1) + 9.5 * Z(3) + -1.5 * Z(2) + 4.0 * Z(4) + 16.5 * Z(5... | 18 | 11 | 3 | {"smallest_eigenvalues": [-110.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -94.0, "smallest_bitstrings": ["10101001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.4624) q[0];
rz(0.3436) q[0];
rx(0.8981) q[1];
rz(0.1346) q[1];
rx(0.045) q[2];
rz(0.5966) q[2];
rx(0.9014) q[3];
rz(0.2466) q[3];
rx(0.4129) q[4];
rz(0.3986) q[4];
rx(0.8938) q[5];
rz(0.0182) q[5];
rx(0.8997) q[6];
rz(0.1237) q[6];
rx(0.4665) 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, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
f589aa270dfef1a199e9418113b678ca | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [0, 255], "expectation_value": -0.6738181854887313, "params": [[0.06860000000000001, 0.0644], [-0.07440000000000001, -0.0699]], "bitstrings": ["111111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.003513025208230732, 0.003691699702452106], "optimization_time": 4.4064977169036865} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @ ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["100010000", "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[1], q[0];
rz(-0.0686) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.0686) q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(-0.0343) q[2];
cx q[1], q[2];
cx q[1], q[4];
rz(-0.0343) q[4];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
15323fff8a86688a67a3412302b595a8 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [23782, 7392], "expectation_value": -10.013365662296634, "params": [[0.1446, -0.005200000000000001, 0.005200000000000001], [-0.1734, -0.1514, -0.15080000000000002]], "bitstrings": ["010001100011001", "110001100011111"], "total_optimization_steps": 20, "probabilities": [0.0006046581209385454, 0.00072350312200... | -0.5 * (Z(10) @ Z(4)) + -0.5 * (Z(11) @ Z(4)) + 1.0 * (Z(11) @ Z(10)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(10)) + -0.5 * (Z(5) @ Z(11)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(10)) + -0.5 * (Z(6) @ Z(11)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(7) @ Z(8)) + 2.0 * (Z(9) @ Z(8)) + 1.0 * (Z(9) @ Z(7)) + -0.5 * (Z(0) @ Z(10)... | 1 | 15 | 3 | {"smallest_eigenvalues": [-17.799999999999926], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.999999999999833, "smallest_bitstrings": ["110001100011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
cx q[4], q[10];
rz(-0.1446) q[10];
cx q[4], q[10];
cx q[4], q[11];
rz(-0.1446) q[11];
cx q[4], q[11];
cx q[10], q[11];
rz(0.2892) 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": 6} | {"circuits": [], "gradients": []} |
8537223695775954754 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 6], [0, 7], [1, 2, 10], [1, 2, 6], [3, 4], [2, 11], [9, 4, 7], [9, 11, 4], [8, 3, 6], [0, 1, 11], [9, 5]]} | {"states": [1726, 1854], "expectation_value": -3.8380935917863837, "params": [[[0.0022, 0.7547, 0.007500000000000001, 0.0041], [-0.0021000000000000003, 0.7588, -0.003, 0.0031000000000000003], [1.5692000000000002, 0.0016, 1.5687, 0.0018000000000000002], [1.5624, -0.0029000000000000002, 1.5727, 0.007], [1.1597, 0.0028, 0... | 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(9) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(8)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.166666666... | 11 | 12 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.499999999999999, "smallest_bitstrings": ["100011000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0022) q[0];
rz(0.7547) q[0];
ry(-0.0021) q[1];
rz(0.7588) q[1];
ry(1.5692) q[2];
rz(0.0016) q[2];
ry(1.5624) q[3];
rz(-0.0029) q[3];
ry(1.1597) q[4];
rz(0.0028) q[4];
ry(1.142) q[5];
rz(0.0024) q[5];
ry(1.567) q[6];
rz(0.0027) q[6];
ry(0.0107) 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": []} |
20a60ed013bc1976376f734be7d8d92c | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 1, "target": 3}]} | {"states": [1965, 3501], "expectation_value": -6.999472037177982, "params": null, "bitstrings": ["100001010010", "001001010010"], "total_optimization_steps": 100, "probabilities": [0.06089639755844991, 0.8704307752137688], "optimization_time": 331.6119906902313} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -6.0, "smallest_bitstrings": ["100100001001", "100100001010", "100100010001", "100010001001", "010010100001", "001001100100... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
ry(1.5681) q[11];
ry(1.5681) q[8];
ry(1.5681) q[4];
ry(1.5681) q[1];
cry(1.4449) q[4], q[9];
cry(-1.4433) q[9], q[10];
cry(1.4449) q[4], q[6];
cry(-1.4433) q[6]... | null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.5681) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];... |
b7eaf66301f9b7c8d4f947444be4cce6 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7},... | {"states": [2047, 1791], "expectation_value": -0.17625973402422773, "params": [[0.06670000000000001], [-0.0524]], "bitstrings": ["00000000000", "00100000000"], "total_optimization_steps": 10, "probabilities": [0.0005940870510721146, 0.0006024253917453893], "optimization_time": 2.0285451412200928} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(10)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(10) + 0.5 * Z(9) + -0.5 * Z(2) | 1 | 11 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["00100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(-0.1334) q[0];
cx q[1], q[0];
cx q[4], q[3];
rz(-0.1334) q[3];
cx q[4], q[3];
cx q[6], q[5];
rz(-0.1334) q[5];
cx q[6], q[5];
cx q[8], q[7];
rz(-0.1334... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx ... | {"node": 2} | {"circuits": [], "gradients": []} |
51109ea74fc0913e1308d0dfb766c89e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"sour... | {"states": [34, 42], "expectation_value": -6.737741213349973, "params": [[[0.2887, 0.0507, 0.0095, 0.0023], [0.0825, 0.09920000000000001, 0.0829, 0.0085], [0.16290000000000002, -0.0878, 0.0029000000000000002, -0.0916], [0.3029, -0.0008, 0.305, 0.0017000000000000001], [0.0529, 0.1253, 0.0021000000000000003, 0.1264], [0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) ... | 12 | 9 | 2 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -7.0, "smallest_bitstrings": ["111001011", "110011110", "010110111", "011110101", "111000111", "111010101", "111011010", "110010111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.2887) q[0];
rz(0.0507) q[0];
ry(0.0825) q[1];
rz(0.0992) q[1];
ry(0.1629) q[2];
rz(-0.0878) q[2];
ry(0.3029) q[3];
rz(-0.0008) q[3];
ry(0.0529) q[4];
rz(0.1253) q[4];
ry(0.2996) q[5];
rz(-0.0011) q[5];
ry(0.2906) q[6];
rz(-0.0047) q[6];
ry(0.3005) 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": []} |
c5d2a0621e9dcecb65eadc5509d4551e | max_flow | 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": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 6... | {"states": [1916, 4092], "expectation_value": -13.922071831424036, "params": null, "bitstrings": ["1100010000011", "1000000000011"], "total_optimization_steps": 100, "probabilities": [0.17890926772252125, 0.6993291558722765], "optimization_time": 494.0278699398041} | -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + 1.0 * (Z(3) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(4) @ Z(7)) + -0.5... | 1 | 13 | 2 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -13.0, "smallest_bitstrings": ["1100110100001", "1100001000101", "1000100100001", "1100110010001", "1100101010001", "1000100010001", "1100010000011... | 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];
ry(-1.5577) q[12];
ry(1.5708) q[8];
ry(1.5708) q[9];
ry(1.5681) q[7];
ry(1.5681) q[2];
cry(1.5486) q[1], q[5];
cry(1.0861) q[6], q[1];
cry(-1.4448) q[2... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] 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];\nry(-1.5577) q[12];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = me... |
dd4f3f1f90b61f0bfd416cd86d3b98cc | 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": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [138, 154], "expectation_value": -1.7278984798312886, "params": [1.6062, 0.0029000000000000002, 1.2590000000000001, 0.0039000000000000003, 0.0024000000000000002, 0.0094, 1.5958, 0.0054, 1.6069, 0.0005, 0.002, 0.008700000000000001, 1.6067, 0.005200000000000001, 1.2872000000000001, 0.0012000000000000001, 0.006... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 18 | 8 | 1 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.75, "smallest_bitstrings": ["10100101", "01110100", "01100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.6062) q[0];
rz(0.0029) q[0];
rx(1.259) q[1];
rz(0.0039) q[1];
rx(0.0024) q[2];
rz(0.0094) q[2];
rx(1.5958) q[3];
rz(0.0054) q[3];
rx(1.6069) q[4];
rz(0.0005) q[4];
rx(0.002) q[5];
rz(0.0087) q[5];
rx(1.6067) q[6];
rz(0.0052) q[6];
rx(1.2872) 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[... | null | {"circuits": [], "gradients": []} |
f83a24061b1538365ea5863841ae1bf9 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 12, "source": 0, "target": 3}, {"weight": 17, "source": 1, "tar... | {"states": [419, 242], "expectation_value": -33.138936110885375, "params": [[-0.041, -0.0047, 0.0064, 0.006200000000000001], [0.075, 0.07490000000000001, 0.06770000000000001, 0.057]], "bitstrings": ["001011100", "100001101"], "total_optimization_steps": 10, "probabilities": [0.014210944759638274, 0.01667278927333431], ... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(7)) + 14.5 * Z(2) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["100001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(-0.369) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.369) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.369) q[1];
cx q[0], q[1];
cx q[0], q[4];
rz(-0.369) q[4];
cx q[0], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
06224520ded029e940b1fde3f5ab3e3b | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [17, 37], "expectation_value": -3.003065798986642, "params": null, "bitstrings": ["101110", "011010"], "total_optimization_steps": 28, "probabilities": [0.05910217727314931, 0.8451772667375618], "optimization_time": 21.11746644973755} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + -0.25 * Z(1) + -0.5 * Z(0) + -1.0 * Z(2) + -0.25 * Z(3) + -0.5 * Z(4) + -0.25 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[2];
ry(-1.4449) q[4];
cry(-1.3016) q[0], q[1];
ry(1.2881) q[5];
ry(0.7838) q[0];
ry(-0.6337) q[1];
cry(1.3202) q[0], q[3];
cry(0.4634) q[5], q[0];
cry(-0.1259) q[5], q[4];
cry(-0.1354) q[3], q[1];
c... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
89a9f450da9db3b7265189a11532d767 | 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": 2, "target": 7}, {"source": 2, "target": 8}, {"source": 3, "target": 5}, {"sour... | {"states": [255, 127], "expectation_value": -27.02332097579959, "params": [[[1.6192, 0.006], [0.0025, 0.0004], [0.0025, 0.0012000000000000001], [0.0025, 0.0012000000000000001], [0.0026000000000000003, 0.0041], [0.0024000000000000002, 0.006900000000000001], [0.0022, 0.0027], [3.1606, 0.0009000000000000001]]], "bitstring... | -3.0 * (Z(1) @ Z(2)) + 1.0 * (Z(6) @ Z(2)) + -3.0 * (Z(6) @ Z(1)) + -2.5 * (Z(7) @ Z(2)) + -2.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(6)) + -3.5 * (Z(4) @ Z(2)) + 1.5 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(6)) + -3.0 * (Z(4) @ Z(7)) + -3.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + 1.0 ... | 2 | 8 | 1 | {"smallest_eigenvalues": [-27.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.5, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.6192) q[0];
rz(0.006) q[0];
rx(0.0025) q[1];
rz(0.0004) q[1];
rx(0.0025) q[2];
rz(0.0012) q[2];
rx(0.0025) q[3];
rz(0.0012) q[3];
rx(0.0026) q[4];
rz(0.0041) q[4];
rx(0.0024) q[5];
rz(0.0069) q[5];
rx(0.0022) q[6];
rz(0.0027) q[6];
rx(3.1606) 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] 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] ... | {"node": 0} | {"circuits": [], "gradients": []} |
eaf152c9366c1fc70b9994ec462b6b4c | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [147, 182], "expectation_value": -0.06830797171451675, "params": [[0.0719], [-0.0806]], "bitstrings": ["01101100", "01001001"], "total_optimization_steps": 10, "probabilities": [0.004358942691297585, 0.004543564122465281], "optimization_time": 4.282873153686523} | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(5)) + -0.125 * (Z(2) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(2) @ Z(3) @ Z(4... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["01001001"]} | 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(0.0719) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(0.018) q[2];
cx q[3], q[2];
cx q[4], q[2];
rz(0.018) q[2];
cx q[4], q[2];
cx q[5], q[2];
rz(0.018) q[2];
cx q[5], q[2];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2]... | null | {"circuits": [], "gradients": []} |
27e77dc99416ada4c5d281f5cb59d253 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4... | {"states": [0, 55], "expectation_value": -5.269118654935727, "params": [[[-0.0463, -0.6639, 0.0057, 0.009300000000000001], [-0.1003, -0.2452, 0.014400000000000001, -0.16970000000000002], [-0.0027, 1.1667, -0.0025, 0.227], [0.006200000000000001, 0.3059, 0.0027, 0.6424000000000001], [0.0025, 1.1311, 0.0025, -0.5106], [0.... | -0.25 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(4)) + -1.0 * Z(3) + -0.... | 11 | 7 | 4 | {"smallest_eigenvalues": [-5.75, -5.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.75, "smallest_bitstrings": ["1000000", "1001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(-0.0463) q[0];
rz(-0.6639) q[0];
ry(-0.1003) q[1];
rz(-0.2452) q[1];
ry(-0.0027) q[2];
rz(1.1667) q[2];
ry(0.0062) q[3];
rz(0.3059) q[3];
ry(0.0025) q[4];
rz(1.1311) q[4];
ry(0.0025) q[5];
rz(-0.475) q[5];
ry(0.0026) q[6];
rz(-1.1479) q[6];
cx q[1], q[0];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
2cf6224a7b786ab8607e7cc5dbc62158 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 6... | {"states": [3, 43], "expectation_value": -8.212917224881869, "params": null, "bitstrings": ["1111100", "1010100"], "total_optimization_steps": 49, "probabilities": [0.20431288557519606, 0.6125808501211156], "optimization_time": 42.043530225753784} | -1.0 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -1.25 * (Z(1) @ Z(3)) + 2.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -0.75 * Z(2) + -0.25 * Z(0) + -0.75 * Z(4) + 0.5 * Z(3) + -0.25 * Z(1) + 0.5 * Z(6) + 1.0 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-9.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.75, "smallest_bitstrings": ["1010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.57) q[6], q[0];
ry(1.0559) q[6];
cry(1.5708) q[6], q[5];
cry(-1.5707) q[6], q[2];
cry(-0.5198) q[5], q[0];
ry(-1.5706) q[4];
cry(1.5523) q[1], q[3];
cry(1.229) q[3], q[1];
cry(0.204) q[5], q[6];
ry... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.57) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];... |
3305978304862905038 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 7], [2, 3, 4, 6], [4, 5, 6], [0, 5, 6, 7], [4, 7], [2, 3, 5, 6], [0, 2, 4], [1, 2, 5, 6], [1, 3, 5, 6], [1, 4, 6], [0, 1, 3, 5]]} | {"states": [218, 158], "expectation_value": -2.9402656542530994, "params": null, "bitstrings": ["00100101", "01100001"], "total_optimization_steps": 46, "probabilities": [0.0700631605248958, 0.8397346655754189], "optimization_time": 79.00072598457336} | 0.5 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(7)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(6) @ Z(2)) + 0.41666666666666663 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(7)) + 0.25 * (Z(5) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0833333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0000000000000004, "smallest_bitstrings": ["01100001"]} | 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(1.5668) q[6];
ry(1.2292) q[0];
cry(-1.0837) q[4], q[7];
ry(1.3276) q[3];
cry(-0.4915) q[3], q[7];
ry(1.1089) q[4];
cry(-0.4094) q[6], q[7];
cry(-1.0197) q[4], q[2];
cry(0.3073) q[6], q[4];
cry(... | 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(1.5668) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
9549964f1bad9d8041c30a1733d66104 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 4, "target": 5},... | {"states": [1919, 2047], "expectation_value": -9.129330923412734, "params": [[-0.0799], [0.1695]], "bitstrings": ["00010000000", "00000000000"], "total_optimization_steps": 20, "probabilities": [0.0028914434810305223, 0.002926655579650627], "optimization_time": 5.864476680755615} | -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)) + -3.0 * (Z(6) @ Z(7)) + -4.0 * (Z(10) @ Z(7)) + -3.0 * (Z(10) @ Z(6)) + -3.5 * (Z(9) @ Z(7)) + 1.0 * (Z(9) @ Z(6)) + -4.0 * (Z(9) @ Z(10)) + -3.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(6)) + 1.5 * (Z(2) @ Z(10)) +... | 5 | 11 | 1 | {"smallest_eigenvalues": [-35.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.5, "smallest_bitstrings": ["00000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[4], q[0];
rz(0.2397) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(-0.0799) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(0.3196) q[5];
cx q[0], q[5];
cx q[0], q[1];
rz(-0.0799) ... | 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[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h ... | {"node": 8} | {"circuits": [], "gradients": []} |
da67ef528b08e4f6c3f00d54374014e6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 2, "s... | {"states": [17, 1], "expectation_value": -0.9093234365314282, "params": [[0.0611], [-0.0485]], "bitstrings": ["111101110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0027991968189442122, 0.0029427815836306887], "optimization_time": 2.752567768096924} | -0.75 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(0)) + -1.0 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + 3.5 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(4)) + -1.25 * (Z(1) @ Z(2)) + -1.25 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(7)) + -1.25 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(4)) + -1.25 * (Z(6) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-22.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(-0.0917) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.1222) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(-0.1222) q[4];
cx q[0], q[4];
cx q[2], q[7];
rz(-0.1222) q[7];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
-5718511346561763600 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4], [1, 6, 7], [0, 1, 3], [2, 4, 6], [2, 3, 5, 6], [0, 4, 6, 7], [0, 2, 6, 7], [0, 5, 6], [1, 4]]} | {"states": [234, 242], "expectation_value": -2.5507966614694038, "params": null, "bitstrings": ["00010101", "00001101"], "total_optimization_steps": 48, "probabilities": [0.06065461143145108, 0.8812212130705585], "optimization_time": 83.4944109916687} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.25 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.3333333333333333 * (Z(7) @ Z(6)) + 0.08333333333333333 * (Z(0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.666666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.416666666666667, "smallest_bitstrings": ["00001101"]} | 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(1.5626) q[6];
ry(1.0343) q[0];
cry(-1.0748) q[3], q[4];
ry(0.8285) q[3];
cry(-0.7419) q[1], q[4];
ry(0.9026) q[1];
cry(-0.3089) q[6], q[4];
cry(0.4725) q[6], q[3];
cry(-0.8111) q[0], q[5];
cry(... | 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(1.5626) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
da1b1c85f8e653b867f6f4bdba638afa | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [10, 7], "expectation_value": -3.6632070484916626, "params": [[0.1575, 0.1258, 0.016800000000000002, -0.050300000000000004], [-0.1658, -0.1463, -0.10930000000000001, -0.0751]], "bitstrings": ["1110101", "1111000"], "total_optimization_steps": 20, "probabilities": [0.03688342905139609, 0.037974475876108915], ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -2.0 * Z(3) + ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["0111001", "1101001", "1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.1575) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1575) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1575) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.1575) q[3];
cx q[1], q[3];
cx q[0], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": []} |
eb3eedc1aa3e0fb1f928862c6e0193a7 | 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": 0, "target": 4}, {"source": 1, "target": 2},... | {"states": [2047, 127], "expectation_value": -33.04211374424374, "params": [[[0.0025, 0.0059], [0.0024000000000000002, 0.009600000000000001], [0.0023, 0.0016], [-1.6139000000000001, 0.0051], [0.0023, 0.002], [-0.0025, 0.008700000000000001], [0.0023, 0.0028], [0.0023, 0.0026000000000000003], [0.0025, 0.007], [0.0023, 0.... | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(6)) + -2.5 * (Z(8) @ Z(6)) + -2.5 * (Z(8) @ Z(4)) + -2.5 * (Z(10) @ Z(6)) + -2.5 * (Z(10) @ Z(4)) + -3.0 * (Z(10) @ Z(8)) + 0.5 * (Z(5) @ Z(10)) + 0.5 * (Z(7) @ Z(6))... | 2 | 11 | 1 | {"smallest_eigenvalues": [-34.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.0, "smallest_bitstrings": ["11110000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0025) q[0];
rz(0.0059) q[0];
rx(0.0024) q[1];
rz(0.0096) q[1];
rx(0.0023) q[2];
rz(0.0016) q[2];
rx(-1.6139) q[3];
rz(0.0051) q[3];
rx(0.0023) q[4];
rz(0.002) q[4];
rx(-0.0025) q[5];
rz(0.0087) q[5];
rx(0.0023) q[6];
rz(0.0028) q[6];
rx(0.0023) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 1} | {"circuits": [], "gradients": []} |
19a170966b6554e06b86de8b065b1bdc | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "... | {"states": [4071, 4095], "expectation_value": -16.196468057521123, "params": null, "bitstrings": ["000000011000", "000000000000"], "total_optimization_steps": 100, "probabilities": [0.05736519868683177, 0.3250566201662711], "optimization_time": 334.1827144622803} | -2.5 * (Z(0) @ Z(2)) + -2.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.5 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + -2.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + -2.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -2.0... | 1 | 12 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cry(1.5708) q[8], q[6];
cry(1.5708) q[4], q[2];
cry(1.5708) q[2], q[3];
cry(1.5164) q[3], q[0];
cry(1.5709) q[2], q[1];
cry(1.5708) q[6], q[5];
cry(-1.1112) q[0... | null | {"node": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(1.5708) q[8], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure... |
253d3995de007ce15800f0023018551d | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2... | {"states": [0, 1], "expectation_value": -7.852828366604655, "params": [0.005200000000000001, 0.24580000000000002, 0.0044, 0.4495, 0.0024000000000000002, 0.34440000000000004, 0.0043, 0.455, 0.006900000000000001, 0.2972, 0.0038, 0.4505, 0.6067, 0.0013000000000000002, 0.0032, 0.2964, -0.00030000000000000003, 0.3678, 0.003... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + 1.75 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.75 * Z(6) + 1.75 * Z(3) + 1.0 * Z(4) + -0.5 * Z(5) | 3 | 7 | 3 | {"smallest_eigenvalues": [-10.5, -10.5, -10.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110", "1110000", "1110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0052) q[0];
rz(0.2458) q[0];
rx(0.0044) q[1];
rz(0.4495) q[1];
rx(0.0024) q[2];
rz(0.3444) q[2];
rx(0.0043) q[3];
rz(0.455) q[3];
rx(0.0069) q[4];
rz(0.2972) q[4];
rx(0.0038) q[5];
rz(0.4505) q[5];
rx(0.6067) q[6];
rz(0.0013) q[6];
crz(0.0069) q[6], q[5];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
ec471b6985489d774242f85569adf59b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 5... | {"states": [7, 31], "expectation_value": -4.696884377382494, "params": null, "bitstrings": ["1111000", "1100000"], "total_optimization_steps": 50, "probabilities": [0.2078127726415533, 0.6174813467105884], "optimization_time": 47.69934797286987} | -0.5 * (Z(0) @ Z(3)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(5)) + 0.75 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(4)) + 0.5 * Z(3) + -0.25 * Z(0) + 0.0 * Z(2) + -0.75 * Z(1) + -0.5 * Z(5) + 1.0 * Z(4) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.25, -5.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000", "1100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(1.57) q[5], q[4];
cry(1.5486) q[2], q[3];
ry(0.845) q[5];
cry(1.2245) q[3], q[2];
ry(0.4428) q[4];
cry(1.5157) q[4], q[6];
cry(-1.5353) q[6], q[0];
cry(0.5815) q[4], q[5];
ry(-1.1414) q[1];
cry(-0.275... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.57) q[5], 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];\... |
66118b4a39d9f94415b36602b745f3db | 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": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1... | {"states": [25, 63], "expectation_value": -3.8327157141949892, "params": null, "bitstrings": ["1100110", "1000000"], "total_optimization_steps": 57, "probabilities": [0.08569643730503933, 0.6101461547912892], "optimization_time": 64.97977828979492} | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * Z(4) + -0.25 * Z(0) + 0.25 * Z(1) + -0.5 * Z(5) + 0.5... | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(1.5158) q[4], q[2];
cry(1.5157) q[4], q[1];
ry(1.5485) q[3];
cry(0.8284) q[2], q[4];
cry(0.3998) q[2], q[1];
cry(1.3013) q[2], q[6];
cry(-1.4753) q[6], q[0];
cry(1.2112) q[4], q[5];
ry(-0.5598) q[5];
... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.5158) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... |
-202939672514890062 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 3, 5, 6], [0, 1, 5, 6], [1, 2, 3, 4, 5, 6], [0, 2, 3]]} | {"states": [109, 87], "expectation_value": -0.44772981384276433, "params": [[0.3768], [-0.3704]], "bitstrings": ["0010010", "0101000"], "total_optimization_steps": 40, "probabilities": [0.013823423557006182, 0.013886534902805793], "optimization_time": 3.02524995803833} | 0.25 * (Z(0) @ Z(3)) + 0.11666666666666667 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.11666666666666667 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.19999999999999998 * (Z(6) @ Z(5)) + 0.03333333333333333 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.11666666666666667 * (Z(1) @ Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.0333333333333332, -1.0333333333333332], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.033333333333333, "smallest_bitstrings": ["0010001", "0101000"]} | 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(0.1884) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(0.0879) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(0.1256) q[5];
cx q[0], q[5];
cx q[3], q[6];
rz(0.0879) q[6];
cx q[3], 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] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
e8fdec38f32f10530d269f6547919d57 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 2}, {"weight": 19, "source": 1, "target": 3}, {"weight": 6... | {"states": [183, 118], "expectation_value": -23.06160491289833, "params": [[0.0297, 0.0118], [-0.07100000000000001, -0.081]], "bitstrings": ["01001000", "10001001"], "total_optimization_steps": 10, "probabilities": [0.011197351557759246, 0.013155646124494939], "optimization_time": 4.040886640548706} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(1)) + 3.5 * (Z(7) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-69.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.2079) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.2079) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.2079) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.2079) q[3];
cx q[2], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
-6076511891567190251 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3], [0, 5], [2, 3], [2, 6], [1, 5], [1, 7], [0, 2], [1, 4]]} | {"states": [31, 224], "expectation_value": -0.04524901528390548, "params": [[0.0601], [-0.0475]], "bitstrings": ["11100000", "00011111"], "total_optimization_steps": 10, "probabilities": [0.004177797124195406, 0.004177797124195406], "optimization_time": 0.5357871055603027} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(7) + 0.0 * Z(4) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0, "smallest_bitstrings": ["00111101", "11000010", "00101101", "11010010", "00011111", "11100000"]} | 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[3], q[0];
rz(0.0601) q[0];
cx q[3], q[0];
cx q[0], q[5];
rz(0.0601) q[5];
cx q[0], q[5];
cx q[3], q[2];
rz(0.0601) q[2];
cx q[3], q[2];
cx q[0], q[2];
rz(0.0601) q[2];
cx q[0], q[2];
cx q[2],... | 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[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[0]... | null | {"circuits": [], "gradients": []} |
2ffd1b161729755e1db91208fa3bd6bb | 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": [190, 186], "expectation_value": -64.82953643729955, "params": [-0.0025, -0.8731, 1.3846, 0.4053, 0.7681, 0.4102, 1.4021000000000001, 0.0206, 1.3958000000000002, -0.0002, 1.4011, -0.1398, 0.7931, -0.2669, 1.4078000000000002, -0.0068000000000000005, 0.0031000000000000003, 0.8951, -0.0025, 0.001700000000000000... | 6.0 * (Z(3) @ Z(1)) + 6.0 * (Z(2) @ Z(1)) + 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(4) @ Z(1)) + 6.0 * (Z(5) @ Z(2)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(6) @ Z(3)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(0) @ Z(7)) + 6.0 * (Z(8) @ Z(7)) + 11.5 * Z(1) + 14.0 * Z(3) + 9.5 * Z(2) + 15.0 * Z(4) + 13.5 * Z(5) + 10.5 * Z(... | 18 | 9 | 2 | {"smallest_eigenvalues": [-81.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "smallest_bitstrings": ["101000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0025) q[0];
rz(-0.8731) q[0];
rx(1.3846) q[1];
rz(0.4053) q[1];
rx(0.7681) q[2];
rz(0.4102) q[2];
rx(1.4021) q[3];
rz(0.0206) q[3];
rx(1.3958) q[4];
rz(-0.0002) q[4];
rx(1.4011) q[5];
rz(-0.1398) q[5];
rx(0.7931) q[6];
rz(-0.2669) q[6];
rx(1.4078) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
3d599008e6d247101eb02503201a8a05 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "so... | {"states": [439, 1015], "expectation_value": -8.626190094756781, "params": null, "bitstrings": ["111001001000", "110000001000"], "total_optimization_steps": 100, "probabilities": [0.10145933749532667, 0.4400528382935296], "optimization_time": 410.17378997802734} | 0.5 * (Z(5) @ Z(9)) + 2.0 * (Z(10) @ Z(9)) + 1.0 * (Z(10) @ Z(5)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(10)) + -0.5 * (Z(2) @ Z(9)) + -1.0 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(10)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -2.0 * (Z(3) @ Z(10)) + -0.5 * (Z(3) @ Z(6)) +... | 1 | 12 | 1 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 37, "first_excited_energy": -8.5, "sm... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
ry(1.5709) q[10];
ry(1.5708) q[7];
cry(1.5486) q[2], q[5];
cry(1.5158) q[9], q[3];
cry(1.1598) q[4], q[9];
cry(1.0561) q[6], q[2];
cry(-1.5264) q[10], q[0];
ry(... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.5709) q[10];\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];... |
d56985f232688510835b204f6df74ea2 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [0, 12], "expectation_value": -2.539652844052889, "params": [-0.5840000000000001, 1.0903, 0.4934, 0.7884, -0.5805, 1.0986, 0.502, 0.9885, 0.3155, 0.8628, -0.465, 0.6867000000000001, 0.0224, 0.7575000000000001, 0.02, 0.2212, 0.5407000000000001, 0.1945, 0.0761, 0.007200000000000001, 0.5363, 0.2202, 0.006900000... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.0 * Z(3) + 1.0 * Z(2) | 6 | 4 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["0011", "0000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(-0.584) q[0];
rz(1.0903) q[0];
rx(-0.5805) q[1];
rz(1.0986) q[1];
rx(0.3155) q[2];
rz(0.8628) q[2];
rx(0.0224) q[3];
rz(0.7575) q[3];
crx(0.4121) q[3], q[2];
crx(1.1165) q[3], q[1];
crx(0.883) q[3], q[0];
crx(-0.0206) q[2], q[3];
crx(1.1165) q[2], q[1];
crx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": 4} | {"circuits": [], "gradients": []} |
7864173975676994353 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 6], [0, 2], [1, 3], [0, 4], [5, 6], [5, 7]]} | {"states": [105, 108], "expectation_value": -0.27530032164359697, "params": [0.8869, -0.2212, 0.7702, 0.002, 0.8934000000000001, -0.20350000000000001, 0.7884, 0.009300000000000001, 0.8987, -0.1902, 0.8724000000000001, 0.0028, 0.8925000000000001, -0.20350000000000001, 0.762, 0.0067, 0.8931, -0.2446, 0.8431000000000001, ... | 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(7) | 5 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["10010011", "01101100", "00111100", "11000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.8869) q[0];
rz(-0.2212) q[0];
rx(0.8934) q[1];
rz(-0.2035) q[1];
rx(0.8987) q[2];
rz(-0.1902) q[2];
rx(0.8925) q[3];
rz(-0.2035) q[3];
rx(0.8931) q[4];
rz(-0.2446) q[4];
rx(0.9037) q[5];
rz(0.2492) q[5];
rx(0.8819) q[6];
rz(0.2446) q[6];
rx(0.9016) 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": []} |
db7bdfb6ee94a36848a9fd983ceba634 | 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": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 6, "source": 1, ... | {"states": [0, 65], "expectation_value": -14.93021660738582, "params": null, "bitstrings": ["11111111", "10111110"], "total_optimization_steps": 44, "probabilities": [0.07856829134064691, 0.7428742592901634], "optimization_time": 42.37813639640808} | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.5 * (Z(1) @ Z(7)) + -1.75 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + 1.25 * Z(7) + 1.5 * Z(1) + 0.0 * Z(4) + -1.... | 1 | 8 | 2 | {"smallest_eigenvalues": [-17.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.75, "smallest_bitstrings": ["10111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(1.5708) q[7], q[1];
ry(1.2027) q[7];
cry(-1.5708) q[7], q[0];
ry(-1.5708) q[3];
ry(-1.5708) q[5];
ry(-1.5709) q[2];
ry(-1.5708) q[4];
ry(0.6315) q[1];
cry(-0.691) q[1], q[7];
cry(0.9006) q[6],... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5708) q[7], 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] = mea... |
927cc3c36d5206cbba5cf15e96649368 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"sour... | {"states": [52, 53], "expectation_value": -3.4263447247095673, "params": [1.4899, -0.0023, 0.0015, -0.623, 1.7014, 0.0033, 1.7072, 0.0021000000000000003, 1.7018, -0.0021000000000000003, 1.7088, 0.0025, 1.7052, 0.0004, 0.0034000000000000002, -0.7217, 1.6328, 0.0005, -1.5666, 0.004200000000000001, -1.6928, 1.472500000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(7) + 0.0 * Z(8) + -0.5 * Z(4) + -0.5 * Z(6) + -0.5 * Z(3) + 0.0... | 4 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -3.5, "smallest_bitstrings": ["110101010", "010101011", "010100111", "011001011", "110110100", "011000111", "110111000", "110100110", "100110110", "111000110",... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.4899) q[0];
rz(-0.0023) q[0];
rx(0.0015) q[1];
rz(-0.623) q[1];
rx(1.7014) q[2];
rz(0.0033) q[2];
rx(1.7072) q[3];
rz(0.0021) q[3];
rx(1.7018) q[4];
rz(-0.0021) q[4];
rx(1.7088) q[5];
rz(0.0025) q[5];
rx(1.7052) q[6];
rz(0.0004) 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] 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": []} |
-6174142874878976459 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 6], [3, 4], [2, 4, 6], [0, 1, 6], [2, 3, 5], [5, 6], [0, 2], [4, 7]]} | {"states": [243, 115], "expectation_value": -1.6359917948318188, "params": [0.6554, 0.6491, 1.2054, 1.1953, 1.1915, 1.1909, 1.1934, 1.195, 0.3821, 0.3869, 0.49860000000000004, 0.5339, 1.2054, 1.2017, 1.2017, 1.2005000000000001, 0.7681, 0.9743, -0.5708, 0.8923000000000001, 1.0633000000000001, 1.1833, 1.1869, 0.7276, -0.... | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.166666666... | 14 | 8 | 1 | {"smallest_eigenvalues": [-3.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["10001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.6554) q[0];
ry(1.2054) q[1];
ry(1.1915) q[2];
ry(1.1934) q[3];
ry(0.3821) q[4];
ry(0.4986) q[5];
ry(1.2054) q[6];
ry(1.2017) q[7];
crx(0.7681) q[7], q[0];
crx(1.1937) q[6], q[7];
crx(-0.034) q[5], q[6];
crx(1.1885) q[4], q[5];
crx(-0.4145) q[3], q[4];
crx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
-3870754373237163318 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4], [2, 4], [2, 3, 6], [1, 3, 5], [0, 1, 2], [1, 2, 6], [0, 2, 6], [2, 5, 6], [3, 4, 6], [0, 1, 3], [0, 4, 5]]} | {"states": [77, 58], "expectation_value": -0.09049178016103027, "params": [[-0.0575], [0.059000000000000004]], "bitstrings": ["0110010", "1000101"], "total_optimization_steps": 10, "probabilities": [0.008259124503933069, 0.008294804793252137], "optimization_time": 2.410520315170288} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.3333333333333333 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.6666666666666666 * (Z(6) @ Z(2)) + 0.33333333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.666666666666667, -2.666666666666667], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.6666666666666665, "smallest_bitstrings": ["1000101", "0110000"]} | 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[1];
rz(-0.0575) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(-0.0575) q[2];
cx q[4], q[2];
cx q[1], q[2];
rz(-0.0383) q[2];
cx q[1], q[2];
cx q[4], q[3];
rz(-0.0192) q[3];
cx q[4], q[3];
cx q[1], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2]... | null | {"circuits": [], "gradients": []} |
-3469639916124899485 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[2, 12], [12, 5], [0, 7], [8, 12], [2, 11], [9, 6], [9, 12], [3, 4], [10, 4], [0, 5], [1, 2], [8, 2], [1, 7], [12, 7], [4, 5], [8, 0], [5, 6], [3, 7], [0, 9], [9, 3], [10, 7]]} | {"states": [6743, 6727], "expectation_value": -0.8877885307727497, "params": [0.9331, 0.9405, 0.9610000000000001, 0.9608000000000001, 0.5885, 0.5868, 0.9555, 0.9635, 0.6442, 0.6453, 0.6462, 0.6362, 0.9565, 0.9587, 0.6288, 0.6326, 0.7402000000000001, 0.7348, 0.6142000000000001, 0.6175, 0.9421, 0.9404, 0.9900000000000001... | 0.5 * (Z(2) @ Z(12)) + 0.5 * (Z(5) @ Z(12)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(12)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(12)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(11) @ Z(2)) + 0.5 * (Z(9) @ Z(12)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * ... | 13 | 13 | 1 | {"smallest_eigenvalues": [-8.5, -8.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.5, "smallest_bitstrings": ["0010110111000", "1101001000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.9331) q[0];
ry(0.961) q[1];
ry(0.5885) q[2];
ry(0.9555) q[3];
ry(0.6442) q[4];
ry(0.6462) q[5];
ry(0.9565) q[6];
ry(0.6288) q[7];
ry(0.7402) q[8];
ry(0.6142) q[9];
ry(0.9421) q[10];
ry(0.99) q[11];
ry(0.9607) q[12];
crz(0.0027) q[12], q[0];
crz(0.0022) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-1728358969075004989 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[2, 4, 5, 6, 7, 9, 10, 12], [1, 10, 3, 9], [2, 3, 5, 8, 9, 11], [0, 1, 6, 7, 10, 12], [0, 2, 4, 6, 7, 9, 10, 11], [0, 2, 5, 6, 7, 9, 10]]} | {"states": [5103, 5039], "expectation_value": -0.8823740195284894, "params": [1.1879, 1.2946, 0.7223, 0.7234, 0.7060000000000001, 0.7489, 1.3794, 1.377, 0.6629, 0.7256, 1.2596, 1.3661, 0.7422000000000001, 0.7676000000000001, 1.3785, 1.3661, 0.6723, 0.6995, 1.3446, 1.377, 1.3882, 1.3247, 1.367, 1.3803, 1.3827, 1.3876000... | 0.03571428571428571 * (Z(2) @ Z(4)) + 0.017857142857142856 * (Z(5) @ Z(4)) + 0.075 * (Z(5) @ Z(2)) + 0.03571428571428571 * (Z(6) @ Z(4)) + 0.05952380952380952 * (Z(6) @ Z(2)) + 0.041666666666666664 * (Z(6) @ Z(5)) + 0.03571428571428571 * (Z(7) @ Z(4)) + 0.05952380952380952 * (Z(7) @ Z(2)) + 0.041666666666666664 * (Z(7)... | 14 | 13 | 1 | {"smallest_eigenvalues": [-1.1976190476190478, -1.1976190476190478, -1.1976190476190478], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.1976190476190476, "smallest_bitstrings": ["0110001010000", "0110000110000", "0001001110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(1.1879) q[0];
ry(0.7223) q[1];
ry(0.706) q[2];
ry(1.3794) q[3];
ry(0.6629) q[4];
ry(1.2596) q[5];
ry(0.7422) q[6];
ry(1.3785) q[7];
ry(0.6723) q[8];
ry(1.3446) q[9];
ry(1.3882) q[10];
ry(1.367) q[11];
ry(1.3827) q[12];
crx(0.6752) q[12], q[0];
crx(1.3261)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
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": -1.9709795825640752, "params": [[-0.07060000000000001, -0.0663, -0.07300000000000001], [0.0786, 0.0743, 0.07540000000000001]], "bitstrings": ["1111110", "1000000"], "total_optimization_steps": 10, "probabilities": [0.023448265887924532, 0.026044565406086975], "optimization_time"... | -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 | 3 | {"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(0.0353) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(0.0706) q[5];
cx q[2], q[5];
cx q[5], q[1];
rz(0.0706) q[1];
cx q[5], q[1];
cx q[0], q[6];
rz(-0.0706) 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": []} |
08610c5aca6038481f9547dfc4810ac4 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "targ... | {"states": [0, 16383], "expectation_value": -85.712296417166, "params": [[[0.0027, 1.6064], [0.0022, 0.0026000000000000003], [0.0031000000000000003, 0.0025], [0.0031000000000000003, -0.003], [0.0019, 0.0027], [0.0022, 0.0022], [0.0019, 0.002], [0.0022, 0.002], [-0.0029000000000000002, 0.0021000000000000003], [0.0021000... | -4.0 * (Z(0) @ Z(1)) + 2.5 * (Z(3) @ Z(1)) + -3.5 * (Z(3) @ Z(0)) + -4.0 * (Z(5) @ Z(1)) + -4.0 * (Z(5) @ Z(0)) + -4.0 * (Z(5) @ Z(3)) + -4.0 * (Z(7) @ Z(1)) + -2.5 * (Z(7) @ Z(0)) + -3.5 * (Z(7) @ Z(3)) + -4.0 * (Z(7) @ Z(5)) + -4.0 * (Z(2) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -4.0 * (Z(2) @ Z(3)) + -4.0 * (Z(2) @ Z(5)) + ... | 15 | 14 | 1 | {"smallest_eigenvalues": [-91.49999999999993], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -87.49999999999989, "smallest_bitstrings": ["00000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
ry(0.0027) q[0];
ry(0.0022) q[1];
ry(0.0031) q[2];
ry(0.0031) q[3];
ry(0.0019) q[4];
ry(0.0022) q[5];
ry(0.0019) q[6];
ry(0.0022) q[7];
ry(-0.0029) q[8];
ry(0.0021) q[9];
ry(0.0029) q[10];
ry(0.0024) q[11];
ry(0.0024) q[12];
ry(0.0026) q[13];
cx q[13], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"node": 10} | {"circuits": [], "gradients": []} |
2b1c1c2594b19506ee13e210b86437bc | 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": 2, "target": 5}, {"source": 2, "target": 6}, {"source": ... | {"states": [1023, 511], "expectation_value": -0.11709911852525504, "params": [[0.0201], [-0.014]], "bitstrings": ["0000000000", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.0010175775443596968, 0.0010187233601728581], "optimization_time": 3.0245778560638428} | -2.5 * (Z(1) @ Z(2)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + 1.0 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -2.5 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -2.0 * (Z(3) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(6)) + -2.0 * (Z(9) @ Z(7)) + 1.0... | 1 | 10 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[2], q[1];
rz(-0.1005) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(-0.0804) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(-0.0804) q[4];
cx q[1], q[4];
cx q[2], q[5];
rz(0.0402) q[5];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[4];
... | {"node": 1} | {"circuits": [], "gradients": []} |
33ac8030d60bd36659e1be94123cd6bf | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 0, "target": 9}, {"source": 0, "target":... | {"states": [112, 114], "expectation_value": -4.694949184225342, "params": [0.0027, 0.0021000000000000003, 0.09970000000000001, 0.0799, 0.34600000000000003, 0.31070000000000003, 1.0019, 0.9964000000000001, 1.0031, 1.0068000000000001, 1.0107000000000002, 1.0070000000000001, -0.0073, -0.0212, 0.0092, -0.0001, 0.9257000000... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(9)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * Z(4) ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -5.0, "smallest_bitstrings": ["1111100100", "1110001101", "1011100110", "1101001110", "1101100110", "1010001111", "1010011011", "1100011011", "1100001111", "10... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0027) q[0];
ry(0.0997) q[1];
ry(0.346) q[2];
ry(1.0019) q[3];
ry(1.0031) q[4];
ry(1.0107) q[5];
ry(-0.0073) q[6];
ry(0.0092) q[7];
ry(0.9257) q[8];
ry(0.5822) q[9];
crx(-0.0002) q[9], q[0];
crx(0.9447) q[8], q[9];
crx(0.766) q[7], q[8];
crx(-0.7418) 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": []} |
96ad00ceee3f9c4e7577fb22d2b67779 | 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": 16, "source": 1, "target": 6}, {"weight": 11, "source": 1, "target": 5}, {"weight": 6, "source": 2, "targ... | {"states": [243, 218], "expectation_value": -22.80384134148911, "params": [[-0.0408, -0.0074, -0.009600000000000001], [0.0732, 0.059300000000000005, 0.0557]], "bitstrings": ["100001100", "100100101"], "total_optimization_steps": 10, "probabilities": [0.010007808367397645, 0.01504496274602431], "optimization_time": 6.45... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 17.0 * Z(2) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(-0.3672) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.3672) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.3672) q[1];
cx q[0], q[1];
cx q[4], q[3];
rz(-0.3672) q[3];
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[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
47c90a1844bb68a81c49cc01fe4989e8 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 4}, {"capaci... | {"states": [239, 255], "expectation_value": -23.924361349409715, "params": [0.006200000000000001, -0.024200000000000003, 0.007, -0.0061, 1.5670000000000002, 0.0034000000000000002, 1.5712000000000002, -0.0029000000000000002, 1.5671000000000002, -0.003, -0.8308000000000001, 0.0022, 1.5692000000000002, 0.00130000000000000... | 0.5 * (Z(2) @ Z(4)) + 1.0 * (Z(3) @ Z(4)) + 2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + 2.0 * (Z(7) @ Z(3)) + 2.0 * (Z(7) @ Z(6)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z... | 18 | 10 | 2 | {"smallest_eigenvalues": [-24.833333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.833333333333332, "smallest_bitstrings": ["1100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0062) q[0];
rz(-0.0242) q[0];
rx(0.007) q[1];
rz(-0.0061) q[1];
rx(1.567) q[2];
rz(0.0034) q[2];
rx(1.5712) q[3];
rz(-0.0029) q[3];
rx(1.5671) q[4];
rz(-0.003) q[4];
rx(-0.8308) q[5];
rz(0.0022) q[5];
rx(1.5692) q[6];
rz(0.0013) q[6];
rx(1.5735) 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[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
6019be0fa8c3633cf3c67a35b335404e | 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": 3}, {"source": 1, "target": 4}, ... | {"states": [3436, 3438], "expectation_value": -2.20833813629569, "params": [[[0.1734, 0.1183, 0.0041, 0.0085], [0.0453, 0.2846, 0.8233, -0.002], [0.895, 0.12510000000000002, 0.8896000000000001, 0.07300000000000001], [0.6771, -0.5182, 0.8821, 0.39980000000000004], [0.8925000000000001, -0.6234000000000001, 0.8942, -0.720... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 11 | 12 | 2 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eig... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.1734) q[0];
rz(0.1183) q[0];
ry(0.0453) q[1];
rz(0.2846) q[1];
ry(0.895) q[2];
rz(0.1251) q[2];
ry(0.6771) q[3];
rz(-0.5182) q[3];
ry(0.8925) q[4];
rz(-0.6234) q[4];
ry(0.2733) q[5];
rz(0.6394) q[5];
ry(0.4804) q[6];
rz(-0.483) q[6];
ry(0.28) 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": []} |
4237641795173745163 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 2, 3, 4, 5], [0, 2, 5], [0, 1]]} | {"states": [27, 25], "expectation_value": -0.986529122951322, "params": null, "bitstrings": ["100100", "100110"], "total_optimization_steps": 35, "probabilities": [0.3517222392881918, 0.4355129549869645], "optimization_time": 37.29213261604309} | 0.05 * (Z(1) @ Z(2)) + 0.05 * (Z(3) @ Z(2)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(4) @ Z(2)) + 0.05 * (Z(4) @ Z(1)) + 0.05 * (Z(4) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(2)) + 0.05 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.1666666666666... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -0.8333333333333334, "smallest_bitstrings": ["100010", "100110", "100100", "011000", "010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.0792) q[2];
cry(-1.0061) q[1], q[0];
ry(0.7972) q[1];
cry(-0.5438) q[2], q[0];
cry(0.4866) q[2], q[1];
ry(-0.3445) q[0];
ry(0.7949) q[5];
cry(0.4432) q[1], q[5];
cry(0.1888) q[5], q[1];
cry(-0.143) q[5], q[0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.0792) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
ebed2b2f1ddd19051c3f8f1e6db408b8 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": []} | {"states": [375, 371], "expectation_value": -3.5360296022193163, "params": [1.3617000000000001, -0.35750000000000004, 0.7152000000000001, -0.4413, 1.3805, -0.1532, 1.3569, -0.217, 1.3896000000000002, -0.30960000000000004, 0.7284, -0.4726, 0.7525000000000001, -0.46280000000000004, 1.3613, -0.4167, 1.3676000000000001, -0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.3617) q[0];
rz(-0.3575) q[0];
rx(0.7152) q[1];
rz(-0.4413) q[1];
rx(1.3805) q[2];
rz(-0.1532) q[2];
rx(1.3569) q[3];
rz(-0.217) q[3];
rx(1.3896) q[4];
rz(-0.3096) q[4];
rx(0.7284) q[5];
rz(-0.4726) q[5];
rx(0.7525) q[6];
rz(-0.4628) q[6];
rx(1.3613) 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[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": []}} | {"circuits": [], "gradients": []} |
-8500000221948185388 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[3, 4], [9, 2], [3, 7], [8, 5], [8, 1], [9, 7], [9, 1], [9, 3], [8, 4], [5, 6], [2, 4], [0, 7]]} | {"states": [464, 976], "expectation_value": -0.712466272570411, "params": [0.9906, 0.2713, 0.9683, 0.003, 0.9927, 0.1111, 0.922, 0.0022, 0.9839, 0.10310000000000001, 0.9, 0.0055000000000000005, 0.9926, 0.1983, 0.9504, 0.008, 0.8519, -0.2579, 0.6475000000000001, 0.008400000000000001, 0.9925, -0.20420000000000002, 0.9809... | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(0) @ Z(7)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(9) + 0.0 * Z(2) + 0.0 ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -3.0, "smallest_bitstrings": ["1001001011", "0000101111", "1000110001", "1000101011", "1111010000", "1111001010", "0011001110", "110011... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.9906) q[0];
rz(0.2713) q[0];
rx(0.9927) q[1];
rz(0.1111) q[1];
rx(0.9839) q[2];
rz(0.1031) q[2];
rx(0.9926) q[3];
rz(0.1983) q[3];
rx(0.8519) q[4];
rz(-0.2579) q[4];
rx(0.9925) q[5];
rz(-0.2042) q[5];
rx(0.975) q[6];
rz(-0.2618) q[6];
rx(0.9811) 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": []} |
-967126649071182889 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 3, 4], [0, 1, 4, 5], [0, 3, 5], [1, 3, 5], [2, 4]]} | {"states": [23, 7], "expectation_value": -1.0770135747526073, "params": [[[1.5084, 0.0028], [1.5267000000000002, 0.003], [0.4665, 0.0032], [2.6123000000000003, 0.0006000000000000001], [2.7045000000000003, 0.0057], [2.6421, 0.005200000000000001]]], "bitstrings": ["101000", "111000"], "total_optimization_steps": 270, "pr... | 0.3333333333333333 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.25 * (Z(... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.6666666666666665, -1.6666666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["111000", "000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(1.5084) q[0];
rz(0.0028) q[0];
rx(1.5267) q[1];
rz(0.003) q[1];
rx(0.4665) q[2];
rz(0.0032) q[2];
rx(2.6123) q[3];
rz(0.0006) q[3];
rx(2.7045) q[4];
rz(0.0057) q[4];
rx(2.6421) q[5];
rz(0.0052) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} |
0b4befd1b6021b98538c021e6b01d7d2 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 4}, {"weight": 19, "source": 1, "target": 2}, {... | {"states": [218, 122], "expectation_value": -6.720747103458449, "params": [[0.049], [-0.051300000000000005]], "bitstrings": ["00100101", "10000101"], "total_optimization_steps": 10, "probabilities": [0.006358299333331852, 0.007058577838093786], "optimization_time": 2.6071343421936035} | 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(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 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(1)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 9.0 * Z(0) + 6.5 * Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.392) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.392) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.392) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.392) q[3];
cx q[0], q[3];
cx q[0], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
4816d8f1ff3fcf1f26d33946dcce79cf | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [3286, 3287], "expectation_value": -2.7877494923692683, "params": [[[1.3059, -0.0009000000000000001], [1.3021, -0.0009000000000000001], [0.2913, 0.49500000000000005], [0.0614, -0.6216], [1.2959, -0.0022], [1.3054000000000001, -0.0016], [0.0039000000000000003, 0.6815], [1.3030000000000002, -0.0019], [0.679900... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(0) @ Z(2) @ Z(1)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.0625 * (Z(5) @ Z(1)) + 0.0625 * (Z(1) @ Z(7)) + 0.0625 * (Z(1) @ Z(8)) + 0.0625 * (Z(9) @ Z(1)) ... | 1 | 12 | 2 | {"smallest_eigenvalues": [-4.4375, -4.4375, -4.4375, -4.4375, -4.4375], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.4375, "smallest_bitstrings": ["001101000010", "001010110000", "010100100001", "001100101000", "100000110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.3059) q[0];
rz(-0.0009) q[0];
rx(1.3021) q[1];
rz(-0.0009) q[1];
rx(0.2913) q[2];
rz(0.495) q[2];
rx(0.0614) q[3];
rz(-0.6216) q[3];
rx(1.2959) q[4];
rz(-0.0022) q[4];
rx(1.3054) q[5];
rz(-0.0016) q[5];
rx(0.0039) q[6];
rz(0.6815) q[6];
rx(1.303) 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": []} |
59b55089c15cad6a91f754f2be38a436 | 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": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [88, 74], "expectation_value": -4.4965156243236875, "params": null, "bitstrings": ["0100111", "0110101"], "total_optimization_steps": 26, "probabilities": [0.0670089403141236, 0.9297461660317703], "optimization_time": 27.676433324813843} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(6) + -1.0 * Z(3) + -0.5 * Z(5) + -0.5 * Z(2) + -1.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["0111001", "0110101", "0100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[1];
ry(-1.5681) q[6];
ry(-1.4449) q[4];
ry(1.4449) q[0];
ry(1.4417) q[3];
cry(-1.0398) q[5], q[2];
ry(0.7022) q[5];
ry(-0.4578) q[2];
cry(0.497) q[0], q[5];
cry(-0.3761) q[0], q[2];
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[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", ... |
fc603aae74a127a53d7b15155a35177e | 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": 10, "source": 0, "target": 1}, {"weight": 12, "source": 1, "target": 2}, {"weight": 18, "source": 1, "target": 7}, {"weight": 7, "source": 2, "tar... | {"states": [413, 220], "expectation_value": -10.972665789670176, "params": [[-0.0466], [0.0736]], "bitstrings": ["001100010", "100100011"], "total_optimization_steps": 10, "probabilities": [0.0041795596192531065, 0.004581287663228262], "optimization_time": 2.1757779121398926} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 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)) + 4.5 * (Z(8) @ Z(2)) + 13.5 * Z(2) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.0, "smallest_bitstrings": ["100100011"]} | 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(-0.4194) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.4194) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.4194) q[1];
cx q[0], q[1];
cx q[1], q[3];
rz(-0.4194) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
-5180362657472888325 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 4, 7], [8, 2, 6], [0, 1, 7], [8, 2, 7], [1, 5], [8, 4, 5], [3, 5], [8, 1, 2], [1, 2, 3], [8, 1, 7], [0, 8, 2], [3, 6], [0, 5], [0, 3, 4], [3, 4, 7], [0, 1, 3], [0, 2, 6], [0, 1, 4], [8, 2, 3], [0, 2, 3], [2, 5, 6], [5, 6, 7], [2, 4, 6]]} | {"states": [471, 407], "expectation_value": -3.0749447163045316, "params": [0.9914000000000001, 0.0045000000000000005, 0.9924000000000001, 0.0094, 1.0038, 0.0045000000000000005, 0.9998, 0.0034000000000000002, 0.9926, 0.0046, 0.9814, 0.008, 0.9907, 0.0051, 0.9902000000000001, 0.0005, 0.9996, 0.0038, 0.9928, 0.0015, 0.97... | 0.3333333333333333 * (Z(2) @ Z(4)) + 0.3333333333333333 * (Z(7) @ Z(4)) + 0.3333333333333333 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(8) @ Z(4)) + 0.8333333333333333 * (Z(8) @ Z(2)) + 0.3333333333333333 * (Z(8) @ Z(7)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.6666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.999999999999999, "smallest_bitstrings": ["001001000", "001101000", "001011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.9914) q[0];
rz(0.0045) q[0];
rx(1.0038) q[1];
rz(0.0045) q[1];
rx(0.9926) q[2];
rz(0.0046) q[2];
rx(0.9907) q[3];
rz(0.0051) q[3];
rx(0.9996) q[4];
rz(0.0038) q[4];
rx(0.9778) q[5];
rz(0.0003) q[5];
rx(1.0063) q[6];
rz(-0.0025) q[6];
rx(0.9963) 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": []} |
ae05ce72b7df15983d820553f894fc63 | 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": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 7, "target": 8}]} | {"states": [0, 223], "expectation_value": -4.159033466661929, "params": [0.6585000000000001, 0.1874, -0.5625, 0.0092, 0.7655000000000001, 0.3796, -0.6559, 0.0045000000000000005, -0.6123000000000001, 0.20090000000000002, 0.313, 0.0068000000000000005, -0.7598, 0.5413, -0.0322, 0.0034000000000000002, -0.8204, 0.8492000000... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + -0.5 * Z(2) | 6 | 8 | 1 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["00100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.6585) q[0];
rz(0.1874) q[0];
rx(0.7655) q[1];
rz(0.3796) q[1];
rx(-0.6123) q[2];
rz(0.2009) q[2];
rx(-0.7598) q[3];
rz(0.5413) q[3];
rx(-0.8204) q[4];
rz(0.8492) q[4];
rx(-0.8327) q[5];
rz(0.886) q[5];
rx(-0.8487) q[6];
rz(0.9854) q[6];
rx(-0.8483) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} |
11576eab70c2ec583415b5e8bd58f9e2 | kclique | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [6, 7], "expectation_value": -0.7301794207540568, "params": [[[0.42560000000000003, -0.0852], [0.4273, -0.08560000000000001], [0.4209, -0.0876], [0.599, -0.0024000000000000002], [0.5722, -0.0025], [0.5734, -0.001]], [[0.4197, -0.0852], [0.4258, -0.08560000000000001], [0.4194, -0.0876], [0.6014, 0.00240000000... | 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)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (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 *... | 1 | 6 | 3 | {"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;
rx(0.4256) q[0];
rz(-0.0852) q[0];
rx(0.4273) q[1];
rz(-0.0856) q[1];
rx(0.4209) q[2];
rz(-0.0876) q[2];
rx(0.599) q[3];
rz(-0.0024) q[3];
rx(0.5722) q[4];
rz(-0.0025) q[4];
rx(0.5734) q[5];
rz(-0.001) q[5];
rx(0.4197) q[0];
rz(-0.0852) q[0];
rx(0.4258) 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[... | {"k": 3} | {"circuits": [], "gradients": []} |
8b8ec451ddee6b27fc17090b6e911eee | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 7}, {"source": 1, "target": 8}, {"sour... | {"states": [350, 346], "expectation_value": -2.7085403986987044, "params": [1.5862, 0.0076, 0.0036000000000000003, 0.0007, 1.7108, 0.0057, 1.5178, 0.0063, 1.7101000000000002, 0.0095, 1.7071, 0.0051, 1.5666, 0.0025, 1.6228, 0.009300000000000001, -0.0026000000000000003, 0.0077, 0.0034000000000000002, 0.0022, 0.0031000000... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(5) @ Z(8)) + -0.5 * Z(6) + 0.0 * Z(0) + 0.0 * Z(2) + -1.5 * Z(1) + -0.5 * Z(3) + -0.5 * Z(7) + -1.5 * Z(8) + 0.0 * Z(4) + 0.0 * Z(5) | 3 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["010100101", "110100001", "110000011", "010000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.5862) q[0];
rz(0.0076) q[0];
rx(0.0036) q[1];
rz(0.0007) q[1];
rx(1.7108) q[2];
rz(0.0057) q[2];
rx(1.5178) q[3];
rz(0.0063) q[3];
rx(1.7101) q[4];
rz(0.0095) q[4];
rx(1.7071) q[5];
rz(0.0051) q[5];
rx(1.5666) q[6];
rz(0.0025) q[6];
rx(1.6228) 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": []} |
cde6b48ed870286595c1455af7aff8bd | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}]} | {"states": [2927, 2925], "expectation_value": -1.0827806128514161, "params": [1.3654000000000002, 1.3681, 0.7238, 0.7202000000000001, 1.3667, 1.3582, 1.3082, 1.3032000000000001, 0.7576, 0.7452000000000001, 1.3647, 1.3293000000000001, 1.3797000000000001, 1.3818000000000001, 0.7043, 0.6954, 1.3705, 1.3683, 1.4014, 1.4003... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + -0.0020833333333333333 * (Z(3) @ Z(0)) + -0.0020833333333333333 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(3)) + -0.0020833333333333333 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0020833333333333333 * (Z(6) @ Z(0)) + 0.0006944444444444... | 13 | 12 | 1 | {"smallest_eigenvalues": [-2.0041666666666664, -2.0041666666666664], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.004166666666666, "smallest_bitstrings": ["001001001001", "010010010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.3654) q[0];
ry(0.7238) q[1];
ry(1.3667) q[2];
ry(1.3082) q[3];
ry(0.7576) q[4];
ry(1.3647) q[5];
ry(1.3797) q[6];
ry(0.7043) q[7];
ry(1.3705) q[8];
ry(1.4014) q[9];
ry(0.8285) q[10];
ry(1.0237) q[11];
crz(0.4238) q[11], q[0];
crz(-0.4332) q[10], q[11];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 2, "number_of_communities": 3} | {"circuits": [], "gradients": []} |
a38675d53d722227ef740a74a5426a27 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [45, 47], "expectation_value": -2.142452526402954, "params": [[[0.5306000000000001, 0.0018000000000000002], [-0.0217, 0.0035], [-0.1449, -0.0019], [0.6031000000000001, 0.048], [0.17250000000000001, 0.19410000000000002], [0.3544, 0.11460000000000001], [0.2144, 0.128], [0.3806, 0.534], [0.5979, 0.5951000000000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(7) @ Z(2)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(7) @ Z(6)) + -0.125 * (Z(3) @ Z(6) @ Z(2)) + ... | 15 | 9 | 4 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.375, "smallest_bitstrings": ["111010000", "101010001", "101001001", "101100001", "101011000", "101001010", "011010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.5306) q[0];
ry(-0.0217) q[1];
ry(-0.1449) q[2];
ry(0.6031) q[3];
ry(0.1725) q[4];
ry(0.3544) q[5];
ry(0.2144) q[6];
ry(0.3806) q[7];
ry(0.5979) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5ad3d07c93c10eb5ddb83b76d90ba5ea | 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": [486, 230], "expectation_value": -59.59530350627909, "params": [1.4806000000000001, 0.0038, 2.7036000000000002, 0.0012000000000000001, 2.7031, 0.0029000000000000002, 2.6925000000000003, 0.0012000000000000001, 0.8633000000000001, 0.0032, 0.0019, 0.0056, 2.7103, 0.0058000000000000005, 2.7029, 0.002400000000000... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(0)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(7) @ Z(8)) + 9.5 * Z(0) + 9.0 * Z(1) + 20.5 * Z(3) + 7.0 * Z(2) + 2.5 * Z(4) + 2.0 * Z(6) + -6.0 * Z(5) + 4.0 * Z... | 18 | 9 | 1 | {"smallest_eigenvalues": [-82.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.0, "smallest_bitstrings": ["100011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.4806) q[0];
rz(0.0038) q[0];
rx(2.7036) q[1];
rz(0.0012) q[1];
rx(2.7031) q[2];
rz(0.0029) q[2];
rx(2.6925) q[3];
rz(0.0012) q[3];
rx(0.8633) q[4];
rz(0.0032) q[4];
rx(0.0019) q[5];
rz(0.0056) q[5];
rx(2.7103) q[6];
rz(0.0058) q[6];
rx(2.7029) 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": []} |
7bc4dde9a09d0b94c5097b219891d81a | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [48615, 48855], "expectation_value": -12.364451685021905, "params": [[0.2267], [-0.2511]], "bitstrings": ["0100001000011000", "0100000100101000"], "total_optimization_steps": 30, "probabilities": [0.0005401295977819118, 0.0005406132625146783], "optimization_time": 18.306644678115845} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.25 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(... | 1 | 16 | 1 | {"smallest_eigenvalues": [-19.99999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999897, "smallest_bitstrings": ["0100000100101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[3], q[1];
rz(0.2267) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.2267) q[2];
cx q[3], q[2];
cx q[1], q[2];
rz(0.2267) q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
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];
... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 0}, {"source": 3, "target": 2}, {"source": 3, "target": 0}, {"source": 2, "target": 0}]}} | {"circuits": [], "gradients": []} |
0e3132c92d00e6c55b78f95cbfc3c30b | 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": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target":... | {"states": [0, 768], "expectation_value": -20.30236575771002, "params": [-0.0034000000000000002, 0.9033, 0.4345, -0.0037, 1.8012000000000001, -0.0, 0.0023, 0.009300000000000001, -0.0027, 0.0027, 0.0023, 0.003, 0.0024000000000000002, 0.0001, -0.0024000000000000002, 0.0092, 0.0026000000000000003, 0.0049, -0.0027, 0.0082,... | -0.25 * (Z(0) @ Z(3)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(10) @ Z(3)) + -0.75 * (Z(10) @ Z(0)) + -0.5 * (Z(10) @ Z(6)) + -0.25 * (Z(10) @ Z(7)) + -1.0 * (Z(1) @ Z(6)) + 2.75 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + -0.5 * (Z(5... | 4 | 11 | 1 | {"smallest_eigenvalues": [-21.25, -21.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -20.25, "smallest_bitstrings": ["10011111001", "10011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0034) q[0];
rz(0.9033) q[0];
rx(0.4345) q[1];
rz(-0.0037) q[1];
rx(1.8012) q[2];
rz(0) q[2];
rx(0.0023) q[3];
rz(0.0093) q[3];
rx(-0.0027) q[4];
rz(0.0027) q[4];
rx(0.0023) q[5];
rz(0.003) q[5];
rx(0.0024) q[6];
rz(0.0001) q[6];
rx(-0.0024) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
1514334434500569460 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 3], [5, 6], [2, 3, 7], [0, 5], [8, 2, 3], [1, 6, 7], [0, 1, 2, 6, 8], [4, 6]]} | {"states": [359, 295], "expectation_value": -1.8674753874170804, "params": [1.0012, -0.0024000000000000002, 0.9850000000000001, 0.0023, 0.9472, -0.0001, 0.7085, 0.007200000000000001, 0.9983000000000001, -0.0011, 0.9936, 0.0004, 0.998, 0.003, 0.9908, 0.0077, 1.0048000000000001, -0.0032, 0.2686, 0.0098, 0.987000000000000... | 0.5 * (Z(1) @ Z(3)) + 0.21666666666666667 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.3333333333333333 * (Z(2) @ Z(3)) + 0.05 * (Z(2) @ Z(1)) + 0.05 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.0... | 6 | 9 | 1 | {"smallest_eigenvalues": [-3.1999999999999993, -3.1999999999999993], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.866666666666667, "smallest_bitstrings": ["011011000", "100100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.0012) q[0];
rz(-0.0024) q[0];
rx(0.9472) q[1];
rz(-0.0001) q[1];
rx(0.9983) q[2];
rz(-0.0011) q[2];
rx(0.998) q[3];
rz(0.003) q[3];
rx(1.0048) q[4];
rz(-0.0032) q[4];
rx(0.987) q[5];
rz(0.0016) q[5];
rx(1.0082) q[6];
rz(0.0013) q[6];
rx(0.9989) 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": []} |
-641314730446620475 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 5, 7], [1, 3, 5], [2, 3], [4, 6], [0, 4], [2, 7], [0, 2], [0, 1, 5]]} | {"states": [151, 108], "expectation_value": -1.3673330893701863, "params": [[-0.4455], [0.4239]], "bitstrings": ["01101000", "10010011"], "total_optimization_steps": 50, "probabilities": [0.029560746864891446, 0.02969870788585135], "optimization_time": 2.1338067054748535} | 0.16666666666666666 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.3333333333333333 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(0)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.499999999999999, "smallest_bitstrings": ["10010011"]} | 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[5], q[4];
rz(-0.1485) q[4];
cx q[5], q[4];
cx q[5], q[7];
rz(-0.1485) q[7];
cx q[5], q[7];
cx q[4], q[7];
rz(-0.1485) q[7];
cx q[4], q[7];
cx q[5], q[1];
rz(-0.297) q[1];
cx q[5], q[1];
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;
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[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[5], q[7];
rz(x0) q[7];
cx q[5], q[7];
cx q[4], q... | null | {"circuits": [], "gradients": []} |
c86917abe9264b33bf2c4187d24dbc9b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [407, 406], "expectation_value": -82.26147234895961, "params": [0.23090000000000002, 0.463, 1.0011, 0.0009000000000000001, 1.0009000000000001, 0.1063, 0.0049, 0.5943, 0.00030000000000000003, 0.6209, 0.9992000000000001, 0.1695, 0.3715, 0.3744, 1.0, -0.0023, 0.9909, -0.12810000000000002, 0.5324, -0.2389, 0.233... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(7) @ Z(1)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(9) @ Z(1)) + 6.0 * (Z(9) @ Z(7)) + 6.0 * (Z(8) @ Z(5)) + 6.0 * (Z(8) @ Z(6)) + 6.0 * (Z(8) @ Z(9)) + 3.0 * Z(0) + 12.0 * Z(1) + 5.5 * Z(2) + -4.5 * Z(3) + 14... | 18 | 10 | 3 | {"smallest_eigenvalues": [-95.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["1001101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.2309) q[0];
rz(0.463) q[0];
rx(1.0011) q[1];
rz(0.0009) q[1];
rx(1.0009) q[2];
rz(0.1063) q[2];
rx(0.0049) q[3];
rz(0.5943) q[3];
rx(0.0003) q[4];
rz(0.6209) q[4];
rx(0.9992) q[5];
rz(0.1695) q[5];
rx(0.3715) q[6];
rz(0.3744) q[6];
rx(1.0) 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, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
b383d5e4264711dd92b4a62180be161a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [228, 212], "expectation_value": -3.576528530063576, "params": [0.4047, 0.0006000000000000001, 0.40640000000000004, 0.0007, 0.39990000000000003, 0.0033, 0.4053, 0.0023, 0.39890000000000003, 0.1268, 0.39440000000000003, 0.1155, 0.3966, 0.1746, 0.4012, 0.16090000000000002, 0.0012000000000000001, 0.2051, -0.001... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(6) + -0.5 * Z(0) + -1.5 * Z(7) + -0.5 * Z(1) + -1.5 * Z(4) + -0.5 * Z... | 7 | 8 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["00011011", "00101011", "01010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4047) q[0];
rz(0.0006) q[0];
rx(0.3999) q[1];
rz(0.0033) q[1];
rx(0.3989) q[2];
rz(0.1268) q[2];
rx(0.3966) q[3];
rz(0.1746) q[3];
rx(0.0012) q[4];
rz(0.2051) q[4];
rx(0.4071) q[5];
rz(0.0046) q[5];
rx(-0.0029) q[6];
rz(0.1831) q[6];
rx(-0.0057) 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": []} |
206b6c7126e1a43a7c0a57973e02662d | max_flow | 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": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 6... | {"states": [123, 119], "expectation_value": -6.396069375875401, "params": null, "bitstrings": ["110000100", "110001000"], "total_optimization_steps": 72, "probabilities": [0.08999310077217346, 0.8309706613940097], "optimization_time": 129.73675680160522} | -0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(8)) + 0.5 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000100", "101001000", "110001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5708) q[3];
cry(1.5708) q[3], q[8];
cry(1.4449) q[3], q[7];
cry(-1.568) q[3], q[0];
cry(-1.4464) q[6], q[5];
ry(1.4449) q[4];
cry(0.825) q[7], q[6];
cry(-0.5495) q[8], q[5];
ry(0.508)... | null | {"source": 0, "sink": 6} | {"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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
13e277d5bba2e0a51781e013b0aaec0d | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"sour... | {"states": [248, 254], "expectation_value": -12.584181791122615, "params": null, "bitstrings": ["00000111", "00000001"], "total_optimization_steps": 100, "probabilities": [0.08708766325820039, 0.5652625599835441], "optimization_time": 127.36732268333435} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6) + -0.5 * Z(7) | 5 | 8 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["00000001"]} | 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(1.5706) q[5], q[6];
cry(1.5708) q[6], q[3];
cry(1.5689) q[3], q[4];
cry(1.2087) q[3], q[5];
cry(-0.6314) q[3], q[6];
cry(-0.0377) q[4], q[6];
ry(-0.1321) q[6];
cry(1.2013) q[7], q[6];
cry(0.60... | null | {"node": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5706) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... |
6d4bc3f3c748c072751bca4882dd10e8 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 2, "ta... | {"states": [212, 244], "expectation_value": -3.5257450094179537, "params": [0.20850000000000002, 0.0024000000000000002, 0.20750000000000002, 0.0025, 0.20850000000000002, -0.0019, 0.2071, -0.0025, 0.19440000000000002, 0.0, 0.19720000000000001, 0.0023, 0.202, -0.0025, 0.19890000000000002, -0.0026000000000000003, -0.0032,... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * Z(6) + -0.5 * Z(0) + -1.0 * Z(7) + -1.5 * Z(4) + 0.0 * Z(1) + -1.0 * Z(2) + 0.0 * Z(3) + 0.0 ... | 7 | 8 | 4 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["00001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.2085) q[0];
rz(0.0024) q[0];
rx(0.2085) q[1];
rz(-0.0019) q[1];
rx(0.1944) q[2];
rz(0) q[2];
rx(0.202) q[3];
rz(-0.0025) q[3];
rx(-0.0032) q[4];
rz(0.0996) q[4];
rx(0.2062) q[5];
rz(0.012) q[5];
rx(-0.0045) q[6];
rz(0.1078) q[6];
rx(0.0771) q[7];
rz(0.094... | 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": []} |
3132913001446100727 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 2, 3, 6], [0, 9, 8], [3, 4, 5, 6, 7, 10], [8, 10, 6], [0, 1, 2, 3, 6, 7, 10], [0, 1, 2, 3, 4, 5, 9, 10, 11], [1, 2, 4, 5, 8, 9, 11]]} | {"states": [1783, 1767], "expectation_value": -1.6062827973088885, "params": [[[-0.0029000000000000002, 1.5614000000000001, 0.0009000000000000001, 0.0078000000000000005], [-0.020300000000000002, 1.5614000000000001, 0.0024000000000000002, 0.0067], [1.568, -0.0022, 1.5681, 0.008400000000000001], [1.7469000000000001, -0.0... | 0.10714285714285714 * (Z(10) @ Z(4)) + 0.12103174603174602 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(10)) + 0.10714285714285714 * (Z(8) @ Z(4)) + 0.25 * (Z(8) @ Z(10)) + 0.14047619047619048 * (Z(8) @ Z(5)) + 0.037698412698412696 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(10)) + 0.037698412698412696 * (Z(... | 11 | 12 | 1 | {"smallest_eigenvalues": [-1.6642857142857135, -1.6642857142857135, -1.6642857142857135], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.6309523809523807, "smallest_bitstrings": ["100100011000", "100100101000", "000100001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0029) q[0];
rz(1.5614) q[0];
ry(-0.0203) q[1];
rz(1.5614) q[1];
ry(1.568) q[2];
rz(-0.0022) q[2];
ry(1.7469) q[3];
rz(-0.0031) q[3];
ry(1.5677) q[4];
rz(0.0027) q[4];
ry(0.5115) q[5];
rz(1.1685) q[5];
ry(1.379) q[6];
rz(-0.0132) q[6];
ry(1.4312) 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": []} |
bdecee327be13c765ee9b1d8d9a781df | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [14, 78], "expectation_value": -5.384339539199589, "params": [0.0224, -0.4093, 0.803, 0.011000000000000001, 0.33390000000000003, 0.22690000000000002, 0.5058, 0.0123, 0.8074, -0.0038, 0.8015, -0.001, 0.7995, 0.0015, -0.012400000000000001, 0.402, 0.007200000000000001, 0.2612, 0.8082, 0.0126, 0.2497, -0.0869, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + -1.0 * Z(1) ... | 4 | 8 | 2 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["10110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0224) q[0];
rz(-0.4093) q[0];
rx(0.803) q[1];
rz(0.011) q[1];
rx(0.3339) q[2];
rz(0.2269) q[2];
rx(0.5058) q[3];
rz(0.0123) q[3];
rx(0.8074) q[4];
rz(-0.0038) q[4];
rx(0.8015) q[5];
rz(-0.001) q[5];
rx(0.7995) q[6];
rz(0.0015) q[6];
rx(-0.0124) 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": []} |
94dd9c8568f88dcb3e4d7e2fe1b8d82a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6... | {"states": [0, 1], "expectation_value": -6.516472388413472, "params": [[[0.0033, 0.0057], [0.0025, 0.0051], [-0.0025, 0.0092], [0.0023, 0.0028], [0.0025, 0.008400000000000001], [0.0023, 0.008400000000000001], [1.6038000000000001, 0.004]]], "bitstrings": ["1111111", "1111110"], "total_optimization_steps": 160, "probabil... | -0.5 * (Z(0) @ Z(3)) + 0.75 * (Z(6) @ Z(0)) + -1.25 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(6) + -0.5 * Z(1) + -0.25 * Z(2) + -1.75 * Z(5) + 2.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["1000000", "1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0033) q[0];
rz(0.0057) q[0];
rx(0.0025) q[1];
rz(0.0051) q[1];
rx(-0.0025) q[2];
rz(0.0092) q[2];
rx(0.0023) q[3];
rz(0.0028) q[3];
rx(0.0025) q[4];
rz(0.0084) q[4];
rx(0.0023) q[5];
rz(0.0084) q[5];
rx(1.6038) q[6];
rz(0.004) q[6];
c[0] = measure q[0];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
15a5f37f6b324be94a7fa874923284e5 | kclique | vqe | {"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": [5, 7], "expectation_value": -14.037524246290117, "params": [[[0.22010000000000002, 0.187], [0.2566, 0.1908], [0.2677, -0.19010000000000002], [0.22740000000000002, 0.187], [0.2232, 0.18630000000000002], [0.5938, -0.0017000000000000001], [0.5936, 0.0013000000000000002], [0.6013000000000001, -0.000600000000000... | 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... | 1 | 8 | 3 | {"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;
rx(0.2201) q[0];
rz(0.187) q[0];
rx(0.2566) q[1];
rz(0.1908) q[1];
rx(0.2677) q[2];
rz(-0.1901) q[2];
rx(0.2274) q[3];
rz(0.187) q[3];
rx(0.2232) q[4];
rz(0.1863) q[4];
rx(0.5938) q[5];
rz(-0.0017) q[5];
rx(0.5936) q[6];
rz(0.0013) q[6];
rx(0.6013) 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[... | {"k": 5} | {"circuits": [], "gradients": []} |
12625ff7963f220cedd44f15c6035b49 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 1}, {"capacity": 4, "so... | {"states": [1761, 1765], "expectation_value": -17.236113372409587, "params": [-0.0012000000000000001, 0.5141, -0.0038, 0.531, 0.683, 0.3995, 0.631, 0.14830000000000002, 0.0711, 0.4431, 0.6946, -0.0046, 0.6925, 0.009300000000000001, 0.6940000000000001, 0.0017000000000000001, -0.0026000000000000003, 0.5303, -0.0023, 0.53... | -1.0 * (Z(8) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(8)) + 2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(8)) + 4.0 * (Z(4) @ Z(3)) + -1.0 * (Z(9) @ Z(2)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(3)) + -2.0 * (Z(9) @ Z(4)) + 1.0 * (Z(5) @ Z(6)) + 2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + -0.5 *... | 18 | 13 | 4 | {"smallest_eigenvalues": [-19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -18.75, "smallest_bitstrings": ["1110000010010", "1110000001101", "1110000001010", "1100100011010", "1100100011101", "1101000011010", "1101000011101", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(-0.0012) q[0];
rz(0.5141) q[0];
rx(-0.0038) q[1];
rz(0.531) q[1];
rx(0.683) q[2];
rz(0.3995) q[2];
rx(0.631) q[3];
rz(0.1483) q[3];
rx(0.0711) q[4];
rz(0.4431) q[4];
rx(0.6946) q[5];
rz(-0.0046) q[5];
rx(0.6925) q[6];
rz(0.0093) q[6];
rx(0.694) 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] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
441958230409063588 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 9], [0, 5], [0, 4], [2, 6], [3, 4], [1, 7], [9, 7], [9, 6], [8, 7], [8, 5], [8, 0], [0, 6], [0, 9], [1, 2], [1, 5], [2, 3], [8, 3], [2, 5], [3, 5], [2, 4], [0, 7], [0, 3], [4, 7], [8, 1], [9, 5], [8, 4], [8, 9], [3, 6]]} | {"states": [707, 643], "expectation_value": -0.10530506273371425, "params": [0.6971, 0.0018000000000000002, 0.6946, 0.0031000000000000003, 0.6937, 0.0034000000000000002, 0.6974, 0.0026000000000000003, 0.7050000000000001, -0.0024000000000000002, 0.7041000000000001, 0.0045000000000000005, 0.6977, 0.003, 0.6984, 0.0062000... | 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101111100", "1111000001", "0010011110", "1010000011", "1101100001", "0011000111", "1100111000", "0100111010", "1011000011", "01... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.6971) q[0];
rz(0.0018) q[0];
rx(0.6937) q[1];
rz(0.0034) q[1];
rx(0.705) q[2];
rz(-0.0024) q[2];
rx(0.6977) q[3];
rz(0.003) q[3];
rx(0.6929) q[4];
rz(0.0033) q[4];
rx(0.6937) q[5];
rz(0.0034) q[5];
rx(0.7048) q[6];
rz(0.0034) q[6];
rx(0.7028) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
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