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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
d77fc81dd1d74bb6e7a58177beace46e | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [717, 707], "expectation_value": -36.21844044676342, "params": [[[0.905, 0.4904], [0.9033, 0.47640000000000005], [0.34490000000000004, 0.5738], [0.8250000000000001, 0.8952], [0.41400000000000003, 0.453], [0.07060000000000001, 0.9032], [-0.3179, 0.8455], [-0.0592, 0.8941], [0.25720000000000004, 0.2061], [0.44... | 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(0) @ Z(9)) + 7.0 * (Z(8) @ Z(9)) + 7.0 * (Z(10) @ Z(8)) + 2.0 * Z(2) + 13.5 * Z(1) + 14.5 * Z(3) + 0.5 * Z(5) + 6.5 * Z(4) + -4.5 * Z(6) + -6.0 * Z(7) + 7.5 ... | 15 | 11 | 2 | {"smallest_eigenvalues": [-108.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -94.0, "smallest_bitstrings": ["10100111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.905) q[0];
ry(0.9033) q[1];
ry(0.3449) q[2];
ry(0.825) q[3];
ry(0.414) q[4];
ry(0.0706) q[5];
ry(-0.3179) q[6];
ry(-0.0592) q[7];
ry(0.2572) q[8];
ry(0.4418) q[9];
ry(-0.2529) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
b4764399bb7694871d7cf0cc7a871143 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "so... | {"states": [9, 13], "expectation_value": -8.506805226100038, "params": [[[0.002, 0.545], [0.7812, 0.0034000000000000002], [0.45740000000000003, -0.013600000000000001], [0.0017000000000000001, 0.7496], [0.7808, 0.0033]], [[0.0009000000000000001, 0.5933], [0.7813, 0.0035], [0.45990000000000003, -0.021500000000000002], [0... | -1.0 * (Z(0) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(4)) + -1.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(1)) + -3.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(4) + 2.75 * Z(1) + 0.5 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["10010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.002) q[0];
rz(0.545) q[0];
rx(0.7812) q[1];
rz(0.0034) q[1];
rx(0.4574) q[2];
rz(-0.0136) q[2];
rx(0.0017) q[3];
rz(0.7496) q[3];
rx(0.7808) q[4];
rz(0.0033) q[4];
rx(0.0009) q[0];
rz(0.5933) q[0];
rx(0.7813) q[1];
rz(0.0035) q[1];
rx(0.4599) q[2];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
d5bbd7e3abe3696f83adae75edec2886 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [207, 143], "expectation_value": -35.13261675231273, "params": [0.9379000000000001, 0.0021000000000000003, 2.2996000000000003, 0.0058000000000000005, 1.5461, 0.0067, -0.0017000000000000001, 0.0, 1.0633000000000001, 0.006, 2.3048, 0.009600000000000001, 2.2932, 0.007, 2.3077, 0.0051, 2.2979000000000003, 0.0079... | 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(3) @ Z(1)) + 6.0 * (Z(2) @ Z(5)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(7) @ Z(0)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(8) @ Z(5)) + 6.0 * (Z(8) @ Z(2)) + 6.0 * Z(1) + 0.5 * Z(0) + -3.5 * Z(3) + 12.0 * Z(5) + 4.0 * Z(2) + 1.0 * Z(4) + 5.5 * Z(6) + 7.0 * Z(7) + 7.0 * Z(8) | 18 | 9 | 1 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["101110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.9379) q[0];
rz(0.0021) q[0];
rx(2.2996) q[1];
rz(0.0058) q[1];
rx(1.5461) q[2];
rz(0.0067) q[2];
rx(-0.0017) q[3];
rz(0) q[3];
rx(1.0633) q[4];
rz(0.006) q[4];
rx(2.3048) q[5];
rz(0.0096) q[5];
rx(2.2932) q[6];
rz(0.007) q[6];
rx(2.3077) q[7];
rz(0.0051) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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], \"right_nodes\": [7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
12a709cea7d6ba239d3ff08a3d514b7a | 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": 5}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target":... | {"states": [2047, 1021], "expectation_value": -22.34258843484776, "params": [[[-0.0025, 3.1446], [-0.0026000000000000003, -0.003], [0.0034000000000000002, 0.0032], [0.0027, -0.003], [0.0021000000000000003, 0.0023], [-0.002, 0.002], [-0.0028, -0.0023], [-0.0028, -0.0029000000000000002], [-0.0025, -0.0028], [-0.0023, 0.0... | -0.25 * (Z(0) @ Z(6)) + -1.0 * (Z(8) @ Z(6)) + -0.75 * (Z(8) @ Z(0)) + -0.75 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(0)) + -2.0 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(8)) + -0.25 * (Z(4) @ Z(9)) + -1.0 * (Z(1) @ Z(4)) + -2.25 * (Z(10) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(3) @ Z(8)) + -1.0 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @... | 15 | 11 | 1 | {"smallest_eigenvalues": [-23.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.25, "smallest_bitstrings": ["10000000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0025) q[0];
ry(-0.0026) q[1];
ry(0.0034) q[2];
ry(0.0027) q[3];
ry(0.0021) q[4];
ry(-0.002) q[5];
ry(-0.0028) q[6];
ry(-0.0028) q[7];
ry(-0.0025) q[8];
ry(-0.0023) q[9];
ry(-1.6639) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
a6185cd97776fd1963001ba05fdb92ce | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [0, 255], "expectation_value": -1.2555232468362454, "params": [[-0.0787], [0.0755]], "bitstrings": ["111111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0030357942390383083, 0.003058106578969938], "optimization_time": 2.4269096851348877} | -0.25 * (Z(0) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 1.5 * (Z(8) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -0.25 * (Z(1) @ Z(2)) + -1.5 * (Z(3) @ Z(4)) + -1.75 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(8)) + -1.75 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(1)) + -1.0 * (Z(7) @ Z(4)) + -1.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(6) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-12.5, -12.5, -12.5, -12.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -11.5, "smallest_bitstrings": ["100000000", "111000000", "101000000", "111101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[4], q[0];
rz(0.0394) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(0.1574) q[5];
cx q[0], q[5];
cx q[0], q[8];
rz(-0.2361) q[8];
cx q[0], q[8];
cx q[5], q[2];
rz(0.0787) q[2];
cx q[5], q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} |
92e0d9744e7b0376f2c61fec7a621b77 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [25, 56], "expectation_value": -0.1769418584299842, "params": [[0.0407, 0.0357, 0.0001, -0.0514], [-0.039400000000000004, -0.0356, -0.032, 0.0095]], "bitstrings": ["100110", "000111"], "total_optimization_steps": 10, "probabilities": [0.01772480639680684, 0.018108493142420183], "optimization_time": 9.4482073... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(3) + -1.0 * Z(0) + -1.0 * Z(4) + -0.5 * Z(5) + -0.5 * Z(1) + 0.0 * Z(2) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["000111", "100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(0.0407) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(0.0407) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(0.0407) q[5];
cx q[0], q[5];
cx q[4], q[5];
rz(0.0407) q[5];
cx q[4], q[5];
cx q[3], q[1];
rz(0.0407... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
b2edf981a9c05ff141b468ab5531d2c7 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [35, 11], "expectation_value": -3.4964640571444514, "params": null, "bitstrings": ["011100", "110100"], "total_optimization_steps": 25, "probabilities": [0.06634840825543914, 0.930366230374527], "optimization_time": 18.187224626541138} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5) + -1.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["011100", "110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[1];
ry(-1.5681) q[3];
ry(1.4449) q[5];
ry(1.4449) q[4];
cry(-1.0343) q[2], q[0];
ry(0.7003) q[2];
ry(-0.4549) q[0];
cry(0.4963) q[5], q[2];
cry(-0.3789) q[5], q[0];
cry(0.2489) q[4], q[2];
cry(-0.14... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
e65611c394663a90725e94dc0a444fb5 | 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": [382, 358], "expectation_value": -54.50668672554163, "params": [[[0.5957, 0.47740000000000005], [0.6004, 0.5677], [0.0439, 0.42250000000000004], [0.10310000000000001, 0.5898], [0.3739, 0.5837], [0.1898, 0.6013000000000001], [0.18430000000000002, 0.2076], [0.0813, 0.607], [0.1804, 0.4621], [0.1848000000000000... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(4) @ Z(0)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(6) @ Z(1)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(9) @ Z(7)) + 6.0 * (Z(8) @ Z(1)) + 6.0 * (Z(8) @ Z(6)) + 6.0 * (Z(8) @ Z(9)) + 2.0 * Z(0) + 15.0 * Z(1) + 16.0 * Z(4) + 9.5 * Z(3) + 2.5 * Z(5) + 7.5 * Z(6) ... | 15 | 10 | 4 | {"smallest_eigenvalues": [-96.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.0, "smallest_bitstrings": ["1010011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.5957) q[0];
ry(0.6004) q[1];
ry(0.0439) q[2];
ry(0.1031) q[3];
ry(0.3739) q[4];
ry(0.1898) q[5];
ry(0.1843) q[6];
ry(0.0813) q[7];
ry(0.1804) q[8];
ry(0.1848) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
132595a3982d01090e267bedd21733e3 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [207, 206], "expectation_value": -71.87437509079601, "params": [0.3653, 0.33740000000000003, 0.9992000000000001, 0.0051, 0.9954000000000001, -0.041, -0.0111, -0.48900000000000005, 0.47500000000000003, 0.33080000000000004, 1.0015, 0.0067, 0.992, -0.0013000000000000002, 0.9866, -0.12150000000000001, 0.5691, -0... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(8) @ Z(5)) + 5.5 * (Z(6) @ Z(0)) + 5.5 * (Z(6) @ Z(8)) + 5.5 * (Z(7) @ Z(2)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(7) @ Z(8)) + 5.5 * (Z(7) @ Z(6)) + 15.0 * Z(1) + 6.5 * Z(0) + 19.5 * ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["100110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3653) q[0];
rz(0.3374) q[0];
rx(0.9992) q[1];
rz(0.0051) q[1];
rx(0.9954) q[2];
rz(-0.041) q[2];
rx(-0.0111) q[3];
rz(-0.489) q[3];
rx(0.475) q[4];
rz(0.3308) q[4];
rx(1.0015) q[5];
rz(0.0067) q[5];
rx(0.992) q[6];
rz(-0.0013) q[6];
rx(0.9866) 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]}"} | {"circuits": [], "gradients": []} |
73590e0e5e64cdd17befd03fc27853a5 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [0, 15], "expectation_value": -29.519570513851463, "params": [-0.0025, 0.009000000000000001, -0.0024000000000000002, 0.00030000000000000003, -0.0025, 0.0048000000000000004, 0.0025, 0.0007, -0.0022, 0.9945, -0.00030000000000000003, 0.131, -0.0025, -0.27440000000000003, -0.0024000000000000002, 0.318, 1.5807, 0... | -3.0 * (Z(0) @ Z(2)) + -3.0 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(0)) + -3.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + 1.5 * (Z(1) @ Z(4)) + -3.0 * (Z(3) @ Z(2)) + 1.5 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(1)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + 1.... | 4 | 9 | 1 | {"smallest_eigenvalues": [-31.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.5, "smallest_bitstrings": ["111110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0025) q[0];
rz(0.009) q[0];
rx(-0.0024) q[1];
rz(0.0003) q[1];
rx(-0.0025) q[2];
rz(0.0048) q[2];
rx(0.0025) q[3];
rz(0.0007) q[3];
rx(-0.0022) q[4];
rz(0.9945) q[4];
rx(-0.0003) q[5];
rz(0.131) q[5];
rx(-0.0025) q[6];
rz(-0.2744) q[6];
rx(-0.0024) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 3} | {"circuits": [], "gradients": []} |
9e14ad1f9402d7c930c6166736d23de7 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "s... | {"states": [73, 75], "expectation_value": -9.496393832694867, "params": null, "bitstrings": ["110110110", "110110100"], "total_optimization_steps": 41, "probabilities": [0.37650477325892784, 0.3777717933096009], "optimization_time": 47.80603051185608} | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + 1.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * Z(3) + -0.25 * Z(0) + -1.0 * Z(4) + 0.5 * Z(7) + 1.5 ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-9.5, -9.5, -9.5, -9.5, -9.5, -9.5, -9.5, -9.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -8.5, "smallest_bitstrings": ["110110100", "110110010", "110110110", "110110000", "100110100", "100110000", "111111100", "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];
ry(1.5708) q[8];
ry(-1.5708) q[0];
ry(-1.5708) q[4];
cry(-1.5708) q[8], q[3];
cry(-1.5681) q[8], q[1];
cry(-1.5486) q[8], q[6];
cry(1.4449) q[2], q[5];
cry(1.0464) q[5], q[2];
cry(0.0421) ... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[8];\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... |
c564307a23461b97da6b6966b1ccdaf8 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [28, 67], "expectation_value": -0.36752182579330017, "params": [[-0.028300000000000002, 0.07200000000000001], [0.0563, -0.0516]], "bitstrings": ["1100011", "0111100"], "total_optimization_steps": 10, "probabilities": [0.008731737479651462, 0.009007468473584069], "optimization_time": 3.9126741886138916} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -2.5 * Z(1) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["0111100"]} | 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(-0.0283) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0283) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0283) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0283) q[3];
cx q[1], q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[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... | null | {"circuits": [], "gradients": []} |
5553213675099766051 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 3, 4], [1, 2, 5], [1, 2, 3], [0, 2, 4, 5], [0, 2, 3, 5], [0, 1, 3, 4, 5]]} | {"states": [23, 58], "expectation_value": -0.07026946819457495, "params": [[0.0745], [-0.0779]], "bitstrings": ["101000", "000101"], "total_optimization_steps": 10, "probabilities": [0.01645617010818063, 0.01650038233229828], "optimization_time": 1.9735469818115234} | 0.41666666666666663 * (Z(2) @ Z(3)) + 0.21666666666666667 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.21666666666666667 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(1) @ Z(2)) + 0.05 * (Z(1) @ Z(4)) + 0.13333333333333333 * (Z(5) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(4)) + 0.21666666... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.6166666666666671], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5333333333333332, "smallest_bitstrings": ["000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[2];
rz(0.0621) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(0.0323) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(0.0372) q[4];
cx q[2], q[4];
cx q[3], q[1];
rz(0.0323) q[1];
cx q[3], q[1];
cx q[2], q[1];
rz(0.0497... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
7162483648168454122 | hypermaxcut | qaoa | {"nodes": [0, 1, 2], "hyperedges": [[1, 2], [0, 1]]} | {"states": [2, 5], "expectation_value": -0.007025667215353026, "params": [[0.047], [-0.0376]], "bitstrings": ["101", "010"], "total_optimization_steps": 10, "probabilities": [0.12675796975291967, 0.12675796975291967], "optimization_time": 1.8058552742004395} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(0) | 1 | 3 | 1 | {"smallest_eigenvalues": [-1.0, -1.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": 0.0, "smallest_bitstrings": ["101", "010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.047) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.047) q[0];
cx q[1], q[0];
rz(0) q[2];
rz(0) q[1];
rz(0) q[0];
h q[0];
rz(-0.0752) q[0];
h q[0];
h q[1];
rz(-0.0752) q[1];
h q[1];
h q[2];
rz(-0.0752) q[2];
h q[2];
c[0] =... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
rz(x1) q[2];
rz(x1) q[1];
rz(x1) q[0];
h q[0];
rz(x2) q[0];
h q[0];
h q[1];
rz(x2) q[1];
h... | null | {"circuits": [], "gradients": []} |
182a069273641020dc26595ce4905930 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 1, "target": 3}, ... | {"states": [330, 346], "expectation_value": -0.8998307929560404, "params": [0.395, 0.0167, 0.3025, 0.056600000000000004, 0.396, 0.0017000000000000001, 0.0012000000000000001, 0.26580000000000004, 0.3922, -0.002, 0.4048, -0.0009000000000000001, 0.3158, -0.027200000000000002, 0.39630000000000004, -0.0028, 0.37120000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(5) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(0) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(0) @ Z(6) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) ... | 18 | 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": ["010110010", "010100011", "001100101", "100100101", "001110100", "010100101", "110100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.395) q[0];
rz(0.0167) q[0];
rx(0.3025) q[1];
rz(0.0566) q[1];
rx(0.396) q[2];
rz(0.0017) q[2];
rx(0.0012) q[3];
rz(0.2658) q[3];
rx(0.3922) q[4];
rz(-0.002) q[4];
rx(0.4048) q[5];
rz(-0.0009) q[5];
rx(0.3158) q[6];
rz(-0.0272) q[6];
rx(0.3963) 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input floa... | null | {"circuits": [], "gradients": []} |
69144809aea48cb46eae9c3950f24a15 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [59773, 55230], "expectation_value": -4.3960918173859485, "params": [[-0.0985], [0.0984]], "bitstrings": ["0001011010000010", "0010100001000001"], "total_optimization_steps": 20, "probabilities": [3.323680029881835e-05, 3.348180957537731e-05], "optimization_time": 17.364303827285767} | 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(7)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(... | 1 | 16 | 1 | {"smallest_eigenvalues": [-20.499999999999844], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.499999999999787, "smallest_bitstrings": ["0010100001000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[3];
rz(-0.0985) q[3];
cx q[1], q[3];
cx q[1], q[0];
rz(-0.0985) q[0];
cx q[1], q[0];
cx q[3], q[0];
rz(-0.0985) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[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]... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 3}, {"id": 1}, {"id": 0}, {"id": 2}], "edges": [{"source": 3, "target": 0}, {"source": 1, "target": 0}, {"source": 1, "target": 2}]}} | {"circuits": [], "gradients": []} |
6e104488336dc4e2d5aa766674769faa | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [50, 116], "expectation_value": -1.3167244256644768, "params": [[0.0729, 0.06910000000000001, 0.0787], [-0.06720000000000001, -0.0611, -0.0743]], "bitstrings": ["1001101", "0001011"], "total_optimization_steps": 10, "probabilities": [0.01463136426762427, 0.01598147332943954], "optimization_time": 9.929796695... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + 0.0 * Z(1) + -0.5 * Z(2) + -1.5 * Z(6) + -0.5 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0001011"]} | 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(0.0729) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(0.0729) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(0.0729) q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(0.0729) q[1];
cx q[3], q[1];
cx q[3], q[2];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
50c5b65ff56baf5d2a2ac4afeecfa642 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [37, 165], "expectation_value": -3.4088242015383226, "params": [1.6004, 0.0037, -0.0368, -0.6085, 1.6139000000000001, -0.0035, -0.0327, -0.19870000000000002, 1.3762, -0.0017000000000000001, 1.6136000000000001, -0.0036000000000000003, 1.6005, 0.0029000000000000002, 1.5983, 0.0004, 1.5597, 0.3355, -1.571300000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(4) + -1.5 * Z(1) + -1.0 * Z(5) + -0.5 * Z(6) + -0.5 * Z(7) + 0.... | 4 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["01011010", "01011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.6004) q[0];
rz(0.0037) q[0];
rx(-0.0368) q[1];
rz(-0.6085) q[1];
rx(1.6139) q[2];
rz(-0.0035) q[2];
rx(-0.0327) q[3];
rz(-0.1987) q[3];
rx(1.3762) q[4];
rz(-0.0017) q[4];
rx(1.6136) q[5];
rz(-0.0036) q[5];
rx(1.6005) q[6];
rz(0.0029) q[6];
rx(1.5983) 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": []} |
533fcd480a5175680493f52fe07173d6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, ... | {"states": [47, 37], "expectation_value": -6.274820904119847, "params": [[0.1617, 0.0985], [-0.1577, -0.1583]], "bitstrings": ["11010000", "11011010"], "total_optimization_steps": 20, "probabilities": [0.03170719910169706, 0.03876562859091974], "optimization_time": 3.6621153354644775} | -1.25 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(4)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(2)) + 2.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -1.0 * (Z(7)... | 1 | 8 | 2 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["11011010"]} | 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(-0.4042) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(-0.0809) q[4];
cx q[0], q[4];
cx q[1], q[6];
rz(-0.0809) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz(-0.1617) q[6];
cx q[0], q[6];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
1d5830a984622eead42a5eae40078f2f | 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": 6}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [15, 78], "expectation_value": -3.9991050119628366, "params": null, "bitstrings": ["1110000", "0110001"], "total_optimization_steps": 34, "probabilities": [0.0655285222703876, 0.9338466720009756], "optimization_time": 35.21391677856445} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(6) + -0.5 * Z(0) + -1.5 * Z(2) + -1.0 * Z(1) + -0.5 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["1110000", "0110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[2];
ry(-1.4449) q[1];
ry(1.4449) q[4];
ry(1.4417) q[5];
ry(1.4417) q[3];
cry(-1.0342) q[0], q[6];
ry(0.7003) q[0];
cry(-0.1259) q[5], q[1];
ry(-0.4549) q[6];
cry(0.4963) q[4], q[0];
cry(-0.3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
d2af5b370a3d71c549af79aed48d2958 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 4}, {"weight": 16, "source": 0, "target": 3}, {"weight": 12, "sour... | {"states": [342, 236], "expectation_value": -10.062299978400294, "params": [[0.0409, 0.013000000000000001], [-0.0432, -0.0257]], "bitstrings": ["010101001", "100010011"], "total_optimization_steps": 10, "probabilities": [0.0039225435814233675, 0.004348563754614578], "optimization_time": 3.2704241275787354} | 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(4) @ Z(1)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(6)) + 18.0 * Z(1) + 10.0 * Z(0) + 20.0 *... | 1 | 9 | 2 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.0, "smallest_bitstrings": ["100010011"]} | 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(0.409) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.409) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.409) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.409) q[3];
cx q[0], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
6d7e5c7b3f86be8f7eca13c50e6c3de8 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [5, 7], "expectation_value": -8.319425178729169, "params": [0.1111, 0.2501, 0.1774, 0.2624, 0.1772, 0.2642, 0.17420000000000002, 0.26580000000000004, 0.5511, 0.13290000000000002, 0.512, 0.1888, 0.5437000000000001, 0.14350000000000002, 0.11470000000000001, 0.2497, 0.169, 0.2602, 0.1743, 0.26730000000000004, 0... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 3 | 7 | 4 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.1111) q[0];
rz(0.2501) q[0];
rx(0.1774) q[1];
rz(0.2624) q[1];
rx(0.1772) q[2];
rz(0.2642) q[2];
rx(0.1742) q[3];
rz(0.2658) q[3];
rx(0.5511) q[4];
rz(0.1329) q[4];
rx(0.512) q[5];
rz(0.1888) q[5];
rx(0.5437) q[6];
rz(0.1435) q[6];
crz(0.2619) 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[... | {"k": 4} | {"circuits": [], "gradients": []} |
2e1dacbc6cad5ed3879997ca6d5d8c7d | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [112, 69], "expectation_value": -0.025255059126548754, "params": [[0.0151], [-0.025]], "bitstrings": ["0001111", "0111010"], "total_optimization_steps": 10, "probabilities": [0.00788953630747796, 0.007901338099377781], "optimization_time": 1.5612874031066895} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + -1.5 * Z(3) + -0.5 * Z(0) + -2.0 * Z(5) + -1.5 * Z(4) + 0.0 * Z(1) + -1.5 * Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["0001111", "0011110", "0111010", "1010110"]} | 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(0.0151) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(0.0151) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(0.0151) q[5];
cx q[0], q[5];
cx q[3], q[4];
rz(0.0151) q[4];
cx q[3], q[4];
cx q[5], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(x0) q[5];
cx q[3], q[5]... | null | {"circuits": [], "gradients": []} |
468c3489a83edd9ef374a69515e095c2 | 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}], "edges": [{"... | {"states": [119, 87], "expectation_value": -75.05907376322234, "params": [0.1262, 0.7188, 1.5844, 0.2399, 0.7782, 0.4837, 1.5834000000000001, 0.0055000000000000005, 0.002, 1.0625, 1.5827, 0.0032, 1.5759, -0.0011, 1.58, 0.3121, 0.1203, 0.009000000000000001, 1.5701, 0.0046, 0.7813, 0.0046, 1.584, 0.004, 0.002, 0.00690000... | 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(5) @ Z(0)) + 5.0 * (Z(5) @ Z(6)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(6)) + 1.0 * Z(0) +... | 18 | 8 | 2 | {"smallest_eigenvalues": [-80.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.5, "smallest_bitstrings": ["10101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.1262) q[0];
rz(0.7188) q[0];
rx(1.5844) q[1];
rz(0.2399) q[1];
rx(0.7782) q[2];
rz(0.4837) q[2];
rx(1.5834) q[3];
rz(0.0055) q[3];
rx(0.002) q[4];
rz(1.0625) q[4];
rx(1.5827) q[5];
rz(0.0032) q[5];
rx(1.5759) q[6];
rz(-0.0011) q[6];
rx(1.58) q[7];
rz(0.31... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8]}"} | {"circuits": [], "gradients": []} |
bbe36c72142a04c8b1698fed3f77c25c | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [89, 57], "expectation_value": -0.03878785363377842, "params": [[0.0655], [-0.0594]], "bitstrings": ["0100110", "1000110"], "total_optimization_steps": 10, "probabilities": [0.00836326894877924, 0.008363268948779243], "optimization_time": 4.4433324337005615} | 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... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.25, "smallest_bitstrings": ["0101100", "1001001", "0100110", "1000110", "1000011", "0101001"]} | 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(0.0655) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0164) q[0];
cx q[2], q[0];
cx q[3], q[0];
rz(0.0164) q[0];
cx q[3], q[0];
cx q[4], q[0];
rz(0.0164) q[0];
cx q[4], q[0];
cx q[3], q[2];
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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(x1) q[0];
cx q[2], q[0];
cx q[3], q[0];
rz(... | null | {"circuits": [], "gradients": []} |
732c260e1c0902cbe3cb22d766daa7cc | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 3, "so... | {"states": [53, 54], "expectation_value": -10.331102050909694, "params": null, "bitstrings": ["1111001010", "1111001001"], "total_optimization_steps": 56, "probabilities": [0.06602023930105408, 0.9316334213246862], "optimization_time": 109.73090600967407} | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(1) @ Z(2)) + 0.6666666666666667 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) ... | 1 | 10 | 2 | {"smallest_eigenvalues": [-10.333333333333332, -10.333333333333332, -10.333333333333332, -10.333333333333332], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -9.666666666666668, "smallest_bitstrings": ["1111001001", "1111001010", "1111010011", "1111100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
ry(1.2796) q[7];
ry(1.5708) q[5];
cry(-1.569) q[5], q[2];
cry(-1.5681) q[5], q[1];
cry(-1.5681) q[5], q[3];
cry(0.2912) q[5], q[7];
cry(1.4449) q[5], q[4];
cry(-1.4433) q[4], q[6... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.2796) 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]... |
2a4c658981a2e8099b167586ad86fa1b | 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}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "... | {"states": [0, 4080], "expectation_value": -3.919840319443767, "params": [[0.0671], [-0.0683]], "bitstrings": ["111111111111", "000000001111"], "total_optimization_steps": 10, "probabilities": [0.0006747453807207074, 0.0007407246034619207], "optimization_time": 3.3985965251922607} | -2.5 * (Z(0) @ Z(2)) + -2.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(1) @ Z(4)) + 1.0 * (Z(6) @ Z(2)) + -2.5 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(1)) + -3.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(6)) + -3.... | 1 | 12 | 1 | {"smallest_eigenvalues": [-49.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -42.0, "smallest_bitstrings": ["000000001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[2], q[0];
rz(-0.3355) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.3355) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.2013) q[3];
cx q[0], q[3];
cx q[2], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[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];
... | {"node": 10} | {"circuits": [], "gradients": []} |
7dd0a85ae083861a7e6473750beb50c4 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [38, 25], "expectation_value": -0.21214002108502358, "params": [[-0.0621], [0.06910000000000001]], "bitstrings": ["1011001", "1100110"], "total_optimization_steps": 10, "probabilities": [0.008711443313069916, 0.008842228106393547], "optimization_time": 1.509068489074707} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1101100", "1100110", "1011001", "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(-0.0621) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0621) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0621) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.0621) q[3];
cx q[0], q[3];
cx q[0], q[5... | 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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(... | null | {"circuits": [], "gradients": []} |
cf6781246fc66f87fa6a567e8619e23b | 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": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [17, 1], "expectation_value": -1.3547283761280873, "params": [[0.06570000000000001, 0.049600000000000005, 0.0728, 0.069], [-0.0763, -0.0284, -0.056600000000000004, -0.060000000000000005]], "bitstrings": ["1101110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.02171224251100083, 0.022027805... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(5)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(4)) + 1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + 0.25 * Z(1) + -0.25 * Z(0) + -1.25 *... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.75, -6.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.75, "smallest_bitstrings": ["1101110", "1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0986) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(-0.0657) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0.0329) q[5];
cx q[0], q[5];
cx q[1], q[4];
rz(-0.0657) q[4];
cx q[1], q[4];
cx q[5], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
cf9a1540b011355d554ff1ed574e9153 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 5}, ... | {"states": [164, 172], "expectation_value": -1.583879020713459, "params": [1.6997, 0.008, 0.9294, 0.0041, 1.7072, 0.0067, 0.892, 0.00030000000000000003, 1.6641000000000001, 0.006, 1.7059, 0.006900000000000001, -0.0022, 0.0049, -0.0027, 0.0085, 0.0057, 0.0074, 0.007, 0.0097, 0.003, 0.0071, 0.0037, 0.004, 0.0023, 0.00340... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(7) @ Z(2)) + 0.12... | 16 | 8 | 1 | {"smallest_eigenvalues": [-3.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.625, "smallest_bitstrings": ["01010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.6997) q[0];
rz(0.008) q[0];
rx(0.9294) q[1];
rz(0.0041) q[1];
rx(1.7072) q[2];
rz(0.0067) q[2];
rx(0.892) q[3];
rz(0.0003) q[3];
rx(1.6641) q[4];
rz(0.006) q[4];
rx(1.7059) q[5];
rz(0.0069) q[5];
rx(-0.0022) q[6];
rz(0.0049) q[6];
rx(-0.0027) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
ced6c703f6fc42ad993c62457521a8a6 | 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": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 0, ... | {"states": [3, 1], "expectation_value": -9.749974732289836, "params": null, "bitstrings": ["11111100", "11111110"], "total_optimization_steps": 21, "probabilities": [1.2643738898933471e-05, 0.9999747325766285], "optimization_time": 20.67971444129944} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(4) @ Z(5)) + 2.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.25 * Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-9.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.75, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[7];
ry(-1.5708) q[0];
ry(-1.5706) q[1];
ry(-1.5708) q[2];
ry(-1.5706) q[5];
ry(-1.5486) q[3];
ry(-1.4449) q[4];
ry(-1.4448) q[6];
cry(-0.1189) q[7], q[6];
cry(-0.1188) q[7], q[4];
cry... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[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] = measure q[... |
9b6c90aee56ab84919f7c826e678a024 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]} | {"states": [3, 9], "expectation_value": -7.123170061706766, "params": null, "bitstrings": ["11100", "10110"], "total_optimization_steps": 29, "probabilities": [0.1405844083484402, 0.6434159405450673], "optimization_time": 23.774666786193848} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -2.75 * Z(0) + -3.0 * Z(2) + -2.5 * Z(3) + -2.25 * Z(4) | 6 | 5 | 3 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100", "10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5709) q[2];
cry(-1.5708) q[4], q[0];
ry(0.8148) q[4];
cry(-1.5708) q[1], q[3];
ry(0.6593) q[1];
ry(-0.3489) q[0];
cry(-0.2626) q[4], q[3];
cry(0.3453) q[1], q[4];
cry(-0.2275) q[1], q[0];
cry(0.2896) q[4], q[1];
ry... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5709) q[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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
a38f1e1a2c6caaf4faa439d1638ce520 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [43605, 21930], "expectation_value": -0.020472240229326845, "params": [[-0.075], [0.06910000000000001]], "bitstrings": ["0101010110101010", "1010101001010101"], "total_optimization_steps": 10, "probabilities": [1.6563752676138654e-05, 1.6563752676138664e-05], "optimization_time": 21.021103382110596} | 0.25 * (Z(0) @ Z(1)) + -0.0008264462809917356 * (Z(2) @ Z(0)) + -0.0008264462809917356 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0004132231404958678 * (Z(4) @ Z(0)) + -0.0005165289256198348 * (Z(4) @ Z(2)) + 0.0004132231404958678 * (Z(5) @ Z(1)) + -0.0005165289256198348 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0009... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0146694214875365], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0146694214875103, "smallest_bitstrings": ["1010101001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(-0.0375) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0001) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0001) q[3... | 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[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(x0) q[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
-8290356915313588306 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3, 4, 5, 6, 7], [1, 2, 5], [1, 2, 4, 6, 7], [0, 2, 3, 5, 6, 7], [0, 1, 6, 7]]} | {"states": [249, 250], "expectation_value": -0.6424010487727071, "params": [[0.45740000000000003], [-0.46680000000000005]], "bitstrings": ["00000110", "00000101"], "total_optimization_steps": 50, "probabilities": [0.009486198577522038, 0.009486198577522045], "optimization_time": 33.50836491584778} | 0.06666666666666667 * (Z(2) @ Z(3)) + 0.03333333333333333 * (Z(4) @ Z(3)) + 0.08333333333333334 * (Z(4) @ Z(2)) + 0.06666666666666667 * (Z(5) @ Z(3)) + 0.2333333333333333 * (Z(5) @ Z(2)) + 0.03333333333333333 * (Z(5) @ Z(4)) + 0.06666666666666667 * (Z(6) @ Z(3)) + 0.11666666666666667 * (Z(6) @ Z(2)) + 0.083333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.1833333333333336, -1.1833333333333336, -1.1833333333333336, -1.1833333333333336], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.1833333333333331, "smallest_bitstrings": ["10101000", "10001100", "00000110", "00000101"]} | 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[2];
rz(0.061) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(0.0305) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(0.0762) q[4];
cx q[2], q[4];
cx q[3], q[5];
rz(0.061) q[5];
cx q[3], q[5];
cx q[2], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
b305367bc2e2ddaa066fe8b84210618a | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [26, 154], "expectation_value": -2.5708022211813866, "params": [[[0.7071000000000001, -0.0085, 0.0036000000000000003, 0.007500000000000001], [0.7015, -0.22590000000000002, 0.6324000000000001, 0.3755], [0.2102, -0.0088, -0.2084, 0.37720000000000004], [0.15030000000000002, -0.45130000000000003, 0.2077000000000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(5) @ Z(0)) + 0.125 * (Z(6) @ Z(0)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(6) @ Z(5)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + ... | 11 | 8 | 2 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.625, "smallest_bitstrings": ["01100101", "01100110", "10100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.7071) q[0];
rz(-0.0085) q[0];
ry(0.7015) q[1];
rz(-0.2259) q[1];
ry(0.2102) q[2];
rz(-0.0088) q[2];
ry(0.1503) q[3];
rz(-0.4513) q[3];
ry(0.0227) q[4];
rz(0.5542) q[4];
ry(-0.0336) q[5];
rz(0.5534) q[5];
ry(0.7042) q[6];
rz(-0.0003) q[6];
ry(0.6642) 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": []} |
504aff5065c6904e02914f6b44da8a9c | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 6, "source": 2, "target": 3}, {"capaci... | {"states": [1, 3], "expectation_value": -7.516299483904754, "params": [[[0.0031000000000000003, 0.7899], [0.0006000000000000001, 0.8627], [0.0017000000000000001, 0.8792000000000001], [0.0048000000000000004, 0.8533000000000001], [0.5343, -0.007], [1.0535, 0.0038]], [[0.003, 0.7898000000000001], [0.0057, 0.8846], [0.0045... | -1.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(2)) + -1.0 * Z(1) + -0.25 * Z(0) + 1.5 * Z(4) + 0.25 * Z(5) + 0.0 * Z(2) + -0.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["111100", "110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0031) q[0];
rz(0.7899) q[0];
rx(0.0006) q[1];
rz(0.8627) q[1];
rx(0.0017) q[2];
rz(0.8792) q[2];
rx(0.0048) q[3];
rz(0.8533) q[3];
rx(0.5343) q[4];
rz(-0.007) q[4];
rx(1.0535) q[5];
rz(0.0038) q[5];
rx(0.003) q[0];
rz(0.7898) q[0];
rx(0.0057) q[1];
rz(0.8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} |
9f6a09f991bf68484362b3872f6239a7 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 5... | {"states": [1, 9], "expectation_value": -10.49999958399804, "params": null, "bitstrings": ["1111110", "1110110"], "total_optimization_steps": 21, "probabilities": [0.4999999519269191, 0.499999995836056], "optimization_time": 17.538195848464966} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(3)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(2)) + -1.25 * Z(1) + -... | 1 | 7 | 2 | {"smallest_eigenvalues": [-10.5, -10.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.5, "smallest_bitstrings": ["1110110", "1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[2];
ry(-1.5706) q[1];
ry(-1.5708) q[4];
ry(-1.5708) q[5];
ry(-1.5708) q[0];
ry(1.5706) q[6];
cry(0.0004) q[6], q[1];
cry(-0.0006) q[3], q[1];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] =... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
0b5f0e96c66f1fe8afca6f37edd06ab2 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [3571, 3539], "expectation_value": -1.9027151089744443, "params": [1.1964000000000001, 1.1952, 1.1944000000000001, 1.2018, 0.5596, 0.5576, 0.9423, 0.9457000000000001, 1.1995, 1.1971, 1.1996, 1.203, 0.7782, 0.7757000000000001, 1.1976, 1.1962000000000002, 0.0031000000000000003, 0.0031000000000000003, 0.5650000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (... | 13 | 12 | 1 | {"smallest_eigenvalues": [-3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375], "number_of_smallest_eigenvalues": 26, "first_excited_energy... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.1964) q[0];
ry(1.1944) q[1];
ry(0.5596) q[2];
ry(0.9423) q[3];
ry(1.1995) q[4];
ry(1.1996) q[5];
ry(0.7782) q[6];
ry(1.1976) q[7];
ry(0.0031) q[8];
ry(0.565) q[9];
ry(0.8854) q[10];
ry(1.2081) q[11];
crz(-0.026) q[11], q[0];
crz(0.0654) q[10], q[11];
cr... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
aaa0b19e64bf3c35281517d1fd2e9593 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}]} | {"states": [38, 39], "expectation_value": -2.754021433742447, "params": [[[0.7974, 0.0004], [-0.0386, 0.006200000000000001], [-0.012100000000000001, -0.2222], [0.0801, 0.7589], [0.3529, 0.5813], [0.5861000000000001, -0.21660000000000001]], [[0.6435000000000001, -0.0024000000000000002], [0.0975, -0.0102], [0.3327, -0.35... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.5 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 15 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["101000", "011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(0.7974) q[0];
ry(-0.0386) q[1];
ry(-0.0121) q[2];
ry(0.0801) q[3];
ry(0.3529) q[4];
ry(0.5861) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(0.0004) q[0];
ry(0.0062) q[1];
ry(-0.2222) q[2];
ry(0.7589) 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": []} |
347cd23786ada5a7ec96f3799dd0d8dc | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [176, 180], "expectation_value": -1.2837526261303243, "params": [0.4011, 0.40390000000000004, 0.3442, 0.33630000000000004, 0.398, 0.402, 0.3985, 0.401, 0.0011, 0.002, 0.3986, 0.40140000000000003, 0.1756, 0.1769, 0.1762, 0.17470000000000002, 0.39640000000000003, 0.39940000000000003, 0.3341, 0.3117000000000000... | 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... | 14 | 8 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.375, "smallest_bitstrings": ["01001011", "01011001", "01001110", "10001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.4011) q[0];
ry(0.3442) q[1];
ry(0.398) q[2];
ry(0.3985) q[3];
ry(0.0011) q[4];
ry(0.3986) q[5];
ry(0.1756) q[6];
ry(0.1762) q[7];
crx(0.3826) q[7], q[0];
crx(-0.2424) q[6], q[7];
crx(-0.0185) q[5], q[6];
crx(0.3094) q[4], q[5];
crx(0.0011) 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": []} |
6859a853db55a6c03906a6ca2f8b2b35 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [650, 651], "expectation_value": -80.69692059741683, "params": [[[0.7506, -0.0041], [-0.00030000000000000003, 0.0017000000000000001], [0.9019, 0.1047], [0.1836, 0.09960000000000001], [0.24960000000000002, 0.0734], [0.17650000000000002, 0.167], [0.7784000000000001, 0.38630000000000003], [0.0784, 0.3592], [0.9... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(4) @ Z(8)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(9) @ Z(5)) + 9.0 * Z(0) + 10.0 * Z(1) + 12.5 * Z(2) + -3.0 * Z(3) + 14.0 * Z(6) + 4.5 * Z(5) + 10.0 * Z(8) + -5.5... | 15 | 10 | 4 | {"smallest_eigenvalues": [-90.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.0, "smallest_bitstrings": ["0101110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.7506) q[0];
ry(-0.0003) q[1];
ry(0.9019) q[2];
ry(0.1836) q[3];
ry(0.2496) q[4];
ry(0.1765) q[5];
ry(0.7784) q[6];
ry(0.0784) q[7];
ry(0.9967) q[8];
ry(-0.0702) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
2957e8855fca86daba5124d281f9e8f1 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [67, 99], "expectation_value": -4.0133259467664, "params": [[[0.19690000000000002, 0.29400000000000004], [0.0007, -0.42660000000000003], [0.8093, 0.0018000000000000002], [0.8005, 0.0026000000000000003], [0.3224, 0.2484], [-0.0033, -0.38130000000000003], [0.2974, -0.25070000000000003], [0.8035, -0.003], [0.80... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * Z(1) + -1.0 * Z(0) + -0.5 *... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["110101100", "110011001", "110011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.1969) q[0];
rz(0.294) q[0];
rx(0.0007) q[1];
rz(-0.4266) q[1];
rx(0.8093) q[2];
rz(0.0018) q[2];
rx(0.8005) q[3];
rz(0.0026) q[3];
rx(0.3224) q[4];
rz(0.2484) q[4];
rx(-0.0033) q[5];
rz(-0.3813) q[5];
rx(0.2974) q[6];
rz(-0.2507) q[6];
rx(0.8035) 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": []} |
44bf747c04df002d53e645dfd7a3d1de | 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": 3}, {"source": 0, "target": 6}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, {"source": 4, "target": 5}, ... | {"states": [84, 51], "expectation_value": -0.1248144805804774, "params": [[-0.0736], [0.0694]], "bitstrings": ["0101011", "1001100"], "total_optimization_steps": 10, "probabilities": [0.008707770629967857, 0.00887916939315932], "optimization_time": 1.2879853248596191} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(6) + 0.0 * Z(2) + -0.5 * Z(5) + -0.5 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["1001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0736) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.0736) q[3];
cx q[0], q[3];
cx q[0], q[6];
rz(-0.0736) q[6];
cx q[0], q[6];
cx q[3], q[2];
rz(-0.0736) q[2];
cx q[3], q[2];
cx q[3], q[5... | 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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[0], q[6];
rz(... | null | {"circuits": [], "gradients": []} |
267f594e5cb21532a1a860c7d4e0717d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}], "edges": [{"weight": 8, "source": 0, "target": 3}, {"weight": 15, ... | {"states": [230, 118], "expectation_value": -23.09181746441927, "params": [[0.0349, 0.01, -0.0269], [-0.0777, -0.0748, -0.028]], "bitstrings": ["00011001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.013398032914244587, 0.015323019828959627], "optimization_time": 8.178494691848755} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 21.5 * Z(1) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-67.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "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(0.2792) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2792) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2792) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2792) q[3];
cx q[1], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6]}"} | {"circuits": [], "gradients": []} |
cf24a552e36636686d2413013b158f3a | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [3465, 2441], "expectation_value": -100.74907147119823, "params": [2.5057, 0.0022, 1.4802, 0.0098, 0.0024000000000000002, 0.0023, 2.5101, 0.0083, 2.5082, 0.0097, 0.8672000000000001, 0.0063, -0.0024000000000000002, 0.0021000000000000003, 0.8877, 0.0025, 2.5106, 0.0006000000000000001, -0.0019, 0.00180000000000... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(4) @ Z(1)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(7) @ Z(3)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(11) @ Z(1)) + 7.5 * (Z(11) @ Z(4)) + 7.5 * (Z(10) @ Z(0)) + 7.5 * (Z(10) @ Z(11)) + 9.0 * Z(1) + 9.0 * Z(0) + 13.5 * Z(3) + 1.5 * Z(5) ... | 18 | 12 | 1 | {"smallest_eigenvalues": [-142.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -119.0, "smallest_bitstrings": ["011001110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(2.5057) q[0];
rz(0.0022) q[0];
rx(1.4802) q[1];
rz(0.0098) q[1];
rx(0.0024) q[2];
rz(0.0023) q[2];
rx(2.5101) q[3];
rz(0.0083) q[3];
rx(2.5082) q[4];
rz(0.0097) q[4];
rx(0.8672) q[5];
rz(0.0063) q[5];
rx(-0.0024) q[6];
rz(0.0021) q[6];
rx(0.8877) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
803276a777b6ec2f65b92e64949dd4f0 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": ... | {"states": [0, 135], "expectation_value": -34.916888215527386, "params": [-0.003, 2.0431, 0.0027, 0.0051, -0.003, 1.988, 0.0026000000000000003, 0.0004, -0.2757, 1.1489, -0.2429, 0.0027, -0.0032, 2.4539, 0.0026000000000000003, 0.0079, -0.0034000000000000002, 2.5407, 0.0024000000000000002, 0.0008, -0.0031000000000000003,... | -3.0 * (Z(0) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(0)) + -3.0 * (Z(6) @ Z(3)) + -3.5 * (Z(6) @ Z(0)) + 1.5 * (Z(6) @ Z(4)) + 1.0 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + -3.5 * (Z(1) @ Z(6)) + -3.5 * (Z(5) @ Z(3)) + 1.5 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(4)) + -3.5 * (Z(5) @ Z(6)) + -3.... | 6 | 10 | 1 | {"smallest_eigenvalues": [-37.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.5, "smallest_bitstrings": ["1101111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.003) q[0];
rz(2.0431) q[0];
rx(-0.003) q[1];
rz(1.988) q[1];
rx(-0.2757) q[2];
rz(1.1489) q[2];
rx(-0.0032) q[3];
rz(2.4539) q[3];
rx(-0.0034) q[4];
rz(2.5407) q[4];
rx(-0.0031) q[5];
rz(2.3965) q[5];
rx(-0.0035) q[6];
rz(2.6127) q[6];
rx(1.0446) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 3} | {"circuits": [], "gradients": []} |
caf35114cd2a6c8ee1f15868fb61caaf | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [97, 112], "expectation_value": -4.496515655422481, "params": null, "bitstrings": ["0011110", "0001111"], "total_optimization_steps": 22, "probabilities": [0.06700924257678981, 0.9297458928378854], "optimization_time": 16.380587816238403} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -1.5 * Z(5) + -0.5 * Z(2) + -1.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["1000111", "0001111", "0101011", "0111100", "0011110"]} | 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[5];
ry(-1.5681) q[4];
ry(-1.4449) q[3];
ry(1.4449) q[1];
ry(1.4417) q[0];
cry(-1.0398) q[2], q[6];
ry(0.7022) q[2];
ry(-0.4578) q[6];
cry(0.497) q[1], q[2];
cry(-0.3761) q[1], q[6];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
-8259318046778343024 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 9, 2, 5], [0, 1, 2, 4, 6, 9], [2, 3, 4, 7], [8, 4, 7], [0, 2, 3, 6, 7, 8, 9], [0, 1, 4, 5, 7], [0, 1, 2, 3, 5, 6, 7, 8]]} | {"states": [760, 762], "expectation_value": -0.7036891706443353, "params": [0.8938, -0.0009000000000000001, 0.8963000000000001, 0.009300000000000001, 0.9015000000000001, 0.003, 0.9034000000000001, 0.0029000000000000002, 0.9004000000000001, 0.0013000000000000002, 0.8928, 0.008400000000000001, 0.9012, -0.0005, 0.89460000... | 0.10714285714285714 * (Z(8) @ Z(9)) + 0.14047619047619048 * (Z(2) @ Z(9)) + 0.125 * (Z(2) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(9)) + 0.10119047619047619 * (Z(5) @ Z(8)) + 0.10119047619047619 * (Z(5) @ Z(2)) + 0.05714285714285714 * (Z(0) @ Z(9)) + 0.041666666666666664 * (Z(0) @ Z(8)) + 0.075 * (Z(0) @ Z(2)) + 0.067... | 6 | 10 | 1 | {"smallest_eigenvalues": [-1.6023809523809518], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5547619047619048, "smallest_bitstrings": ["0100000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.8938) q[0];
rz(-0.0009) q[0];
rx(0.9015) q[1];
rz(0.003) q[1];
rx(0.9004) q[2];
rz(0.0013) q[2];
rx(0.9012) q[3];
rz(-0.0005) q[3];
rx(0.9019) q[4];
rz(0.0032) q[4];
rx(0.8963) q[5];
rz(0.0064) q[5];
rx(0.9053) q[6];
rz(0.0049) q[6];
rx(0.9038) 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": []} |
86f73578238baf3b633bd1fba1c953bb | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [62, 191], "expectation_value": -0.9364066897711675, "params": [[-0.0631], [0.0625]], "bitstrings": ["1111000001", "1101000000"], "total_optimization_steps": 10, "probabilities": [0.0014067610569528856, 0.0014500308118620517], "optimization_time": 1.8273770809173584} | -2.0 * (Z(0) @ Z(3)) + -2.0 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(4) @ Z(6)) + -2.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(5)) + -1.0 * (Z(9) @ Z(2)) + -1.5 * Z(3) + -1.5 * Z(0) + -1.5 * Z(1) + 0.5 * Z... | 5 | 10 | 1 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["1101000000"]} | 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[3], q[0];
rz(0.2524) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.2524) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(-0.1262) q[1];
cx q[0], q[1];
cx q[6], q[4];
rz(0.2524) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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[3], q[0];
rz(x0) q[0];
cx q[3], q... | {"node": 2} | {"circuits": [], "gradients": []} |
0c50757414d46788b3d7612da21c7c84 | 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": 6}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 6, "source": 1, "target":... | {"states": [1024, 1023], "expectation_value": -17.795882703503697, "params": [[[-0.0109, -0.0005], [-0.0012000000000000001, -0.0021000000000000003], [-0.0035, -0.003], [-0.0058000000000000005, -0.0027], [-0.0083, 0.0024000000000000002], [-0.015300000000000001, -0.0026000000000000003], [-0.0063, 0.0025], [-0.0061, -0.00... | -0.25 * (Z(0) @ Z(7)) + -2.0 * (Z(1) @ Z(7)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(9) @ Z(7)) + -1.5 * (Z(9) @ Z(4)) + -2.5 * (Z(9) @ Z(3)) + -0.5 * (Z(8) @ Z(7)) + -1.25 * (Z(8) @ Z(4)) + -0.25 * (Z(5) @ Z(... | 15 | 11 | 3 | {"smallest_eigenvalues": [-18.25, -18.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.25, "smallest_bitstrings": ["10000000000", "10000010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0109) q[0];
ry(-0.0012) q[1];
ry(-0.0035) q[2];
ry(-0.0058) q[3];
ry(-0.0083) q[4];
ry(-0.0153) q[5];
ry(-0.0063) q[6];
ry(-0.0061) q[7];
ry(-0.0035) q[8];
ry(-1.5291) q[9];
ry(0.0659) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
dd4f3f1f90b61f0bfd416cd86d3b98cc | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [106, 102], "expectation_value": -0.8739943947764771, "params": [[-0.07050000000000001, -0.06380000000000001, -0.0748], [0.0765, 0.0668, 0.0683]], "bitstrings": ["0010101", "0011001"], "total_optimization_steps": 10, "probabilities": [0.014213342781043782, 0.014846313653709978], "optimization_time": 8.634845... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(6) + 0.0 * Z(1) + -0.5 * Z(5) + -0.5 * Z(4) + 0.0 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011001", "0010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0705) q[0];
cx q[2], q[0];
cx q[2], q[6];
rz(-0.0705) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(-0.0705) q[6];
cx q[0], q[6];
cx q[2], q[1];
rz(-0.0705) q[1];
cx q[2], q[1];
cx q[2], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} |
-4977274315860131031 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 6], [1, 4, 5], [5, 6, 7], [0, 7], [1, 5, 6], [1, 3, 4], [0, 4, 5], [1, 2, 4], [4, 5, 7]]} | {"states": [117, 75], "expectation_value": -0.12697007385596712, "params": [[-0.08170000000000001], [0.07540000000000001]], "bitstrings": ["10001010", "10110100"], "total_optimization_steps": 10, "probabilities": [0.004419019007214754, 0.004419581546556219], "optimization_time": 2.4230000972747803} | 0.5 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(6)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.999999999999999, "smallest_bitstrings": ["10110100"]} | 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[6], q[2];
rz(-0.0817) q[2];
cx q[6], q[2];
cx q[6], q[1];
rz(-0.0272) q[1];
cx q[6], q[1];
cx q[2], q[1];
rz(-0.0272) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(-0.0272) q[4];
cx q[2], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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[6], q[2];
rz(x0) q[2];
cx q[6], q[2];
cx q[6], q[1];
rz(x1) q[1];
cx q[... | null | {"circuits": [], "gradients": []} |
350517609608566162 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 5], [8, 4, 5], [1, 5, 9], [0, 6], [0, 3], [4, 7]]} | {"states": [123, 121], "expectation_value": -2.1616844371496096, "params": [0.1738, 0.1636, 0.5427000000000001, 0.5761000000000001, 0.1559, 0.12090000000000001, 1.393, 1.3928, 1.3997000000000002, 1.4002000000000001, 1.4031, 1.3969, 1.3971, 1.3915, 0.1651, 0.1399, 0.5748, 0.5787, 1.393, 1.3975, 0.045200000000000004, 0.7... | 0.5 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(9) @ Z(5)) + 0.16666666666666666 * (Z(9) @ Z(1)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.33... | 14 | 10 | 1 | {"smallest_eigenvalues": [-2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.333333333333333, "smallest_b... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.1738) q[0];
ry(0.5427) q[1];
ry(0.1559) q[2];
ry(1.393) q[3];
ry(1.3997) q[4];
ry(1.4031) q[5];
ry(1.3971) q[6];
ry(0.1651) q[7];
ry(0.5748) q[8];
ry(1.393) q[9];
crx(0.0452) q[9], q[0];
crx(0.7549) q[8], q[9];
crx(0.3673) q[7], q[8];
crx(0.1295) 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": []} |
256225d97853e5dea4c267956d6a004a | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 5, "target": 6}, {"sour... | {"states": [15, 223], "expectation_value": -0.35381867244793574, "params": [[0.0448], [-0.0333]], "bitstrings": ["11110000", "00100000"], "total_optimization_steps": 10, "probabilities": [0.004517233588342517, 0.00456696762219974], "optimization_time": 1.4649200439453125} | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["00100000"]} | 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(-0.1792) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0448) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.1344) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0448) q[3];
cx q[0], q[3];
cx q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x1) q[2];
cx q[... | {"node": 1} | {"circuits": [], "gradients": []} |
7d8c120b950f82240c2b01ae7c753ace | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 5, "s... | {"states": [256, 255], "expectation_value": -0.6965490907237722, "params": [[0.07050000000000001], [-0.0692]], "bitstrings": ["011111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.002627995260498956, 0.002701336590830259], "optimization_time": 2.462592840194702} | -0.25 * (Z(0) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.75 * (Z(4) @ Z(1)) + -1.25 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + -1.75 * (Z(7) @ Z(4)) + -0.25 * (Z(7) @ Z(5)) + -1.25 * (Z(2) @ Z(8)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(3)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.5, "smallest_bitstrings": ["100000000", "100001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
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[6], q[0];
rz(-0.0353) q[0];
cx q[6], q[0];
cx q[0], q[8];
rz(0.0705) q[8];
cx q[0], q[8];
cx q[6], q[1];
rz(-0.0353) q[1];
cx q[6], q[1];
cx q[1], q[4];
rz(-0.1058) q[4];
cx q[1], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
4e1e131ba2ff0afb42d5840cf309482d | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [1, 9], "expectation_value": -1.1217816255168804, "params": [[0.0611], [-0.061000000000000006]], "bitstrings": ["11111110", "11110110"], "total_optimization_steps": 10, "probabilities": [0.005772745842680433, 0.006135913562102679], "optimization_time": 2.708724021911621} | -1.25 * (Z(0) @ Z(2)) + -2.0 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + 2.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -1.25 * (Z(1) @ Z(6)) + -2.0 * (Z(5) @ Z(2)) + -1.75 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(5)) + -1.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["11110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(-0.1527) q[0];
cx q[2], q[0];
cx q[2], q[6];
rz(-0.2444) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(-0.1222) q[6];
cx q[0], q[6];
cx q[2], q[7];
rz(-0.0306) q[7];
cx q[2], q[7];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
504aff5065c6904e02914f6b44da8a9c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 6, "source": 2, "target": 3}, {"capaci... | {"states": [3, 15], "expectation_value": -1.707430720197975, "params": [[0.0671, 0.0743], [-0.06620000000000001, -0.07350000000000001]], "bitstrings": ["111100", "110000"], "total_optimization_steps": 10, "probabilities": [0.028718593453007094, 0.029638992829846982], "optimization_time": 2.2532711029052734} | -1.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(2)) + -1.0 * Z(1) + -0.25 * Z(0) + 1.5 * Z(4) + 0.25 * Z(5) + 0.0 * Z(2) + -0.5 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["111100", "110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.1678) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(-0.0671) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(-0.1342) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.2684) q[5];
cx q[0], q[5];
cx q[4], q[5];
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": []} |
48ae5229d964a116a3ebee0f6167a21b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 6, "source": 0, "target": 9}, {"capacity": 7, "source": ... | {"states": [4095, 2047], "expectation_value": -40.30133380159739, "params": [[[0.0017000000000000001, -0.0031000000000000003], [-0.0077, -0.0029000000000000002], [-0.00030000000000000003, -0.0028], [0.0008, -0.0029000000000000002], [0.0043, -0.0028], [0.0028, -0.0028], [0.0032, -0.0029000000000000002], [0.006, -0.003],... | -0.5 * (Z(0) @ Z(6)) + -1.5 * (Z(11) @ Z(0)) + -1.75 * (Z(1) @ Z(6)) + -1.25 * (Z(1) @ Z(11)) + -1.5 * (Z(5) @ Z(11)) + -1.75 * (Z(5) @ Z(1)) + -2.0 * (Z(8) @ Z(11)) + -1.0 * (Z(8) @ Z(1)) + -1.25 * (Z(9) @ Z(11)) + -0.5 * (Z(9) @ Z(1)) + -1.75 * (Z(9) @ Z(8)) + -3.0 * (Z(2) @ Z(11)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z... | 15 | 12 | 2 | {"smallest_eigenvalues": [-41.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -40.0, "smallest_bitstrings": ["100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0017) q[0];
ry(-0.0077) q[1];
ry(-0.0003) q[2];
ry(0.0008) q[3];
ry(0.0043) q[4];
ry(0.0028) q[5];
ry(0.0032) q[6];
ry(0.006) q[7];
ry(-0.0016) q[8];
ry(-0.0031) q[9];
ry(-0.0038) q[10];
ry(1.6605) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
c0724bed5321166bb1ace3af6d8561eb | 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": [399, 398], "expectation_value": -89.23382369928751, "params": [0.19260000000000002, 0.3105, 0.7925000000000001, 0.1342, 0.7896000000000001, -0.0033, 0.319, 0.2778, 0.0018000000000000002, 0.4647, 0.0036000000000000003, -0.3598, 0.7829, 0.0016, 0.7898000000000001, -0.0018000000000000002, 0.788, -0.0053, 0.310... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(9) @ Z(6)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(7) @ Z(9)) + 5.5 * (Z(4) @ Z(7)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(8) @ Z(9)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(5) @ Z(8)) + 15.5 * Z(1) ... | 3 | 10 | 4 | {"smallest_eigenvalues": [-100.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -87.5, "smallest_bitstrings": ["1001110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.1926) q[0];
rz(0.3105) q[0];
rx(0.7925) q[1];
rz(0.1342) q[1];
rx(0.7896) q[2];
rz(-0.0033) q[2];
rx(0.319) q[3];
rz(0.2778) q[3];
rx(0.0018) q[4];
rz(0.4647) q[4];
rx(0.0036) q[5];
rz(-0.3598) q[5];
rx(0.7829) q[6];
rz(0.0016) q[6];
rx(0.7898) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x11;
in... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
5d4156bcf03d96be249adb6f40939435 | matching | 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": 8, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 5}, {"weight": 17, "source": 0, "target": 4}, {"weight": 2, "source": 2, "targ... | {"states": [222, 218], "expectation_value": -77.8106191854489, "params": [0.5561, 0.499, 1.4965000000000002, 0.012400000000000001, 1.4928000000000001, 0.2452, 0.2238, 0.6231, 1.4988000000000001, -0.0043, 1.5014, -0.2006, 0.8196, -0.4414, 1.4972, -0.33840000000000003, 0.0883, -0.7579, 0.5617, 0.0046, 1.4926000000000001,... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 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(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-89.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.5561) q[0];
rz(0.499) q[0];
rx(1.4965) q[1];
rz(0.0124) q[1];
rx(1.4928) q[2];
rz(0.2452) q[2];
rx(0.2238) q[3];
rz(0.6231) q[3];
rx(1.4988) q[4];
rz(-0.0043) q[4];
rx(1.5014) q[5];
rz(-0.2006) q[5];
rx(0.8196) q[6];
rz(-0.4414) q[6];
rx(1.4972) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
-3928143730856399574 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 2], [3, 4], [0, 1, 3]]} | {"states": [6, 18], "expectation_value": -1.2218086148497782, "params": null, "bitstrings": ["11001", "01101"], "total_optimization_steps": 25, "probabilities": [0.046559377803807735, 0.7962659496753351], "optimization_time": 16.49014973640442} | 0.5 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.0 * Z(2) + 0.16666666666666663 * Z(0) + 0.16666666666666663 * Z(3) + 0.0 * Z(4) + 0.16666666666666666 * Z(1) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.3333333333333333, -1.3333333333333333, -1.3333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.0, "smallest_bitstrings": ["10001", "00110", "01101"]} | 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];
cry(-1.0342) q[3], q[4];
ry(0.971) q[3];
ry(-0.6611) q[4];
cry(-1.0342) q[0], q[2];
ry(0.7884) q[0];
ry(-0.5281) q[2];
cry(0.4426) q[3], q[0];
cry(0.3424) q[0], q[3];
cry(-0.3214) q[3], q[2];
cry(-0.6063) q[0], q[1];
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];\ncry(-1.0342) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... |
7f5a9dfb1e236bee4145d5b6dc87f612 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 5}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [123, 59], "expectation_value": -5.537386617444648, "params": [0.0031000000000000003, 0.5959, 0.0024000000000000002, 0.5973, -0.0514, 0.1849, -0.41140000000000004, -0.0016, -0.057800000000000004, 0.2132, -0.41900000000000004, -0.013900000000000001, 0.5255000000000001, -0.020900000000000002, 0.79, -0.0132, 0.... | -0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -1.0 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(0) @ Z(5)) + -1.0 * (Z(0) @ Z(6)) + -0.5 * Z(1) + 1.5 * Z(5) + -0.5 * Z(2) + 3.0 * Z(6) + 0.5 * Z(3) + 0.0... | 6 | 8 | 2 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["10100100", "11000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0031) q[0];
rz(0.5959) q[0];
rx(-0.0514) q[1];
rz(0.1849) q[1];
rx(-0.0578) q[2];
rz(0.2132) q[2];
rx(0.5255) q[3];
rz(-0.0209) q[3];
rx(0.2525) q[4];
rz(-0.0581) q[4];
rx(0.3575) q[5];
rz(0.231) q[5];
rx(0.7959) q[6];
rz(-0.0139) q[6];
rx(-0.3582) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
ee183be25ff5cf792caaa72edcb0a0c1 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target":... | {"states": [511, 255], "expectation_value": -1.0196686054579065, "params": [[0.0711], [-0.0772]], "bitstrings": ["000000000", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0030923594949965796, 0.0031606740217401635], "optimization_time": 1.6523258686065674} | -2.0 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(1)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + -1.5 * (Z(8) @ Z(7)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * ... | 5 | 9 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[1];
rz(-0.2844) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.2844) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.2133) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(-0.2844) q[4];
cx q[2], 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[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx... | {"node": 1} | {"circuits": [], "gradients": []} |
4892563904804719085 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[4, 5], [4, 6], [0, 2], [2, 6], [2, 3], [0, 1], [3, 4], [2, 5]]} | {"states": [52, 75], "expectation_value": -0.05554122225919461, "params": [[0.062400000000000004], [-0.0563]], "bitstrings": ["1001011", "0110100"], "total_optimization_steps": 10, "probabilities": [0.008707127457552007, 0.008707127457552007], "optimization_time": 0.5248699188232422} | 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(1) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["0110100", "1001011"]} | 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[4];
rz(0.0624) q[4];
cx q[5], q[4];
cx q[4], q[6];
rz(0.0624) q[6];
cx q[4], q[6];
cx q[5], q[2];
rz(0.0624) q[2];
cx q[5], q[2];
cx q[6], q[2];
rz(0.0624) q[2];
cx q[6], q[2];
cx q[2], q[0];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[4], q[6];
rz(x0) q[6];
cx q[4], q[6];
cx q[5], q[2];
rz(x0) q[2];
cx q[5], q[2];
cx q[6], q[2];
... | null | {"circuits": [], "gradients": []} |
917f40919ed5cce8c36c9746617c7a98 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 2, "source": 2, "target": 3}, {"weight": 19, "source": 2, "target": 6}, {"weight": 19, "source": 2, "targ... | {"states": [241, 124], "expectation_value": -33.91899792325102, "params": [[-0.0309, 0.0002, 0.0079], [0.0629, 0.07010000000000001, 0.0574]], "bitstrings": ["100001110", "110000011"], "total_optimization_steps": 10, "probabilities": [0.0077674061762532135, 0.009415352801867338], "optimization_time": 6.655089855194092} | 4.5 * (Z(2) @ Z(5)) + 4.5 * (Z(1) @ Z(5)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-92.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -83.5, "smallest_bitstrings": ["110000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[2];
rz(-0.2781) q[2];
cx q[5], q[2];
cx q[5], q[1];
rz(-0.2781) q[1];
cx q[5], q[1];
cx q[2], q[1];
rz(-0.2781) q[1];
cx q[2], q[1];
cx q[5], q[4];
rz(-0.2781) q[4];
cx q[5], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
1d579e37a468bd880bcb1092848cc668 | 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": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 3}, {"capacity": 4, "source": 4, "target": 1... | {"states": [63, 1], "expectation_value": -1.8829841196789228, "params": [[-0.06620000000000001, -0.0713, -0.08220000000000001], [0.0717, 0.0688, 0.0736]], "bitstrings": ["1000000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.017180902052354133, 0.01718681811856393], "optimization_time": 2.8920285701... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + 0.75 * (Z(6) @ Z(0)) + -1.0 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(6) + -2.0 * Z(3) + 0.0 * Z(2) + 2.0 * Z(4) + 1.0 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000", "1111110", "1011010", "1111100", "1011000", "1111010", "1001010", "1111000", "1101000", "1001000", "11010... | 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(0.0662) q[0];
cx q[1], q[0];
cx q[1], q[6];
rz(0.0662) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz(-0.0993) q[6];
cx q[0], q[6];
cx q[3], q[2];
rz(0.1324) q[2];
cx q[3], q[2];
cx q[1], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
9b9072d7e4f73df8aaa189972cc4f07a | 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": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capac... | {"states": [1022, 1], "expectation_value": -0.01824447067168821, "params": [[-0.0088], [0.0037]], "bitstrings": ["0000000001", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.0009831310749058946, 0.0009840143776447675], "optimization_time": 4.4034364223480225} | -1.25 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(3)) + -1.25 * (Z(8) @ Z(1)) + -1.0 * (Z(8) @ Z(0)) + -2.25 * (Z(8) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5)... | 1 | 10 | 1 | {"smallest_eigenvalues": [-31.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.25, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(0.022) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0352) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0176) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.0044) q[3];
cx q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
c24dd733315066f7c7da3d578f954d8c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 2}]} | {"states": [46, 47], "expectation_value": -0.5872955720569594, "params": [[-0.0747, -0.0523, -0.0488], [0.0819, 0.0659, 0.067]], "bitstrings": ["010001", "010000"], "total_optimization_steps": 10, "probabilities": [0.022659818224931946, 0.02531866476363733], "optimization_time": 2.567136764526367} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0747) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0747) q[3];
cx q[1], q[3];
cx q[1], q[4];
rz(-0.0747) q[4];
cx q[1], q[4];
cx q[1], q[5];
rz(-0.0747) q[5];
cx q[1], q[5];
cx q[1], q[2];
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[1], q[0... | null | {"circuits": [], "gradients": []} |
edc3bac605c0e8fb4f027513dd92e8fb | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target"... | {"states": [2, 1], "expectation_value": -7.818669473321955, "params": [[0.0684], [-0.1233]], "bitstrings": ["11101", "11110"], "total_optimization_steps": 20, "probabilities": [0.05389084668331796, 0.05569934670779897], "optimization_time": 2.0869953632354736} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + -8.5 * Z(1) + -8.25 * Z(0) + -8.5 * Z(2) + -8.25 * Z(3) + -8.0 * Z(4) | 16 | 5 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["11110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(0.3078) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3078) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3078) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.3078) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.3078) 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];... | {"k": 4} | {"circuits": [], "gradients": []} |
eb9f82d0aaa03fdb655e5d6e72b145a4 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "... | {"states": [3903, 4095], "expectation_value": -14.018084236334927, "params": null, "bitstrings": ["000011000000", "000000000000"], "total_optimization_steps": 100, "probabilities": [0.09620099194696863, 0.3418937219411932], "optimization_time": 217.7796618938446} | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + -2.0 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + -2.0 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(8)) + 0.5 * (Z(11) @ Z(10))... | 1 | 12 | 1 | {"smallest_eigenvalues": [-18.5, -18.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["000000000000", "000000110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cry(1.5706) q[11], q[9];
ry(1.056) q[11];
cry(1.5708) q[9], q[10];
cry(0.4026) q[10], q[9];
cry(1.5706) q[3], q[0];
cry(1.5708) q[0], q[1];
cry(1.2306) q[1], q[... | 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(1.5706) q[11], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measur... |
a74a32fdf8a158e45b2972b4608b5f08 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 4, "... | {"states": [4095, 4031], "expectation_value": -26.240722074995865, "params": [[[-0.0018000000000000002, 2.7021], [-0.0017000000000000001, 0.0018000000000000002], [-0.0034000000000000002, -0.0022], [-0.0019, -0.0026000000000000003], [-0.0027, 0.002], [1.6573, 0.0027], [-0.0027, -0.0027], [0.002, -0.0024000000000000002],... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -2.5 * (Z(6) @ Z(9)) + -3.0 * (Z(10) @ Z(9)) + -2.5 * (Z(10) @ Z(6)) + 1.5 * (Z(11) @ Z(9)) + -2.5 * (Z(11) @ Z(6)) + -3.0 * (Z(11) @ Z(10)) + -3.0 * (Z(7) @ Z(9)) + 1.0 * (Z(7) @ Z(6)) + 1.5 * (Z(7) @ Z(10)... | 15 | 12 | 1 | {"smallest_eigenvalues": [-28.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.0, "smallest_bitstrings": ["000001000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0018) q[0];
ry(-0.0017) q[1];
ry(-0.0034) q[2];
ry(-0.0019) q[3];
ry(-0.0027) q[4];
ry(1.6573) q[5];
ry(-0.0027) q[6];
ry(0.002) q[7];
ry(-0.0032) q[8];
ry(-0.0029) q[9];
ry(0.002) q[10];
ry(-0.0021) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], 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] x2;
input float[64] x3;
input float[6... | {"node": 5} | {"circuits": [], "gradients": []} |
81092696056f07e52e92fa1013ec20c0 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"s... | {"states": [4094, 8191], "expectation_value": -14.255053775582743, "params": [[[-0.7893, 1.1084], [0.082, 1.0959], [-0.0034000000000000002, 0.5906], [0.0024000000000000002, -0.0024000000000000002], [-0.0034000000000000002, -0.0028], [-0.0027, -0.0026000000000000003], [-0.0472, 0.2838], [-0.0029000000000000002, 0.4698],... | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + -2.0 * (Z(6) @ Z(0)) + -2.0 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + -2.0 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(7)) + 0.5 * (Z(10) @ Z(9)) + -1.0 * (Z(11) @ Z(12)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(5) @ Z(3)) + -1.5 * (Z(5) @ Z(2)) + -2.0 * (Z(4) @ Z(3))... | 15 | 13 | 1 | {"smallest_eigenvalues": [-21.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["0000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(-0.7893) q[0];
ry(0.082) q[1];
ry(-0.0034) q[2];
ry(0.0024) q[3];
ry(-0.0034) q[4];
ry(-0.0027) q[5];
ry(-0.0472) q[6];
ry(-0.0029) q[7];
ry(0.0021) q[8];
ry(0.0017) q[9];
ry(-0.0018) q[10];
ry(-0.0825) q[11];
ry(0.1047) q[12];
cx q[12], q[0];
cx q[11], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 3} | {"circuits": [], "gradients": []} |
-7216443839465865534 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[2, 3, 4], [0, 1, 3], [1, 4]]} | {"states": [14, 19], "expectation_value": -0.0011916782934648425, "params": [[0.012400000000000001], [-0.0227]], "bitstrings": ["10001", "01100"], "total_optimization_steps": 10, "probabilities": [0.03132060567411047, 0.03132060567411047], "optimization_time": 0.41994667053222656} | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.3333333333333333 * Z(3) + 0.16666666666666666 * Z(2) + 0.16666666666... | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.1666666666666665, -1.1666666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.8333333333333333, "smallest_bitstrings": ["10001", "01100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[2];
rz(0.0041) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(0.0041) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(0.0041) q[4];
cx q[2], q[4];
cx q[3], q[0];
rz(0.0041) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.0041) q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(x0) q[4];
cx q[2], q[4];
cx q[3], q[... | null | {"circuits": [], "gradients": []} |
4892563904804719085 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[4, 5], [4, 6], [0, 2], [2, 6], [2, 3], [0, 1], [3, 4], [2, 5]]} | {"states": [66, 75], "expectation_value": -2.7501641300612016, "params": null, "bitstrings": ["0111101", "0110100"], "total_optimization_steps": 50, "probabilities": [0.04607075418774435, 0.6199196522279289], "optimization_time": 57.7733256816864} | 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(1) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["0110100", "1001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.0342) q[6], q[2];
cry(-1.0342) q[6], q[4];
cry(1.3762) q[6], q[5];
cry(1.3762) q[6], q[3];
cry(-0.5309) q[3], q[2];
cry(-0.5309) q[5], q[4];
ry(0.8261) q[6];
ry(1.1881) q[0];
cry(-1.4296) q[0], q[1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[6], 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... |
96c17e5b9e437bd6027ef84924d304b0 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 4, "source": 1, "target": 4... | {"states": [25599, 29695], "expectation_value": -3.286983712187962, "params": [0.806, 0.002, 0.8079000000000001, 0.008400000000000001, 0.8041, 0.0024000000000000002, 0.8093, 0.007200000000000001, 0.7958000000000001, 0.002, 0.7964, 0.0098, 0.004, 0.19110000000000002, 0.0011, 0.0067, 0.0024000000000000002, -0.5349, 0.002... | 0.5 * (Z(5) @ Z(7)) + 2.0 * (Z(8) @ Z(7)) + 1.0 * (Z(8) @ Z(5)) + 1.0 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(5)) + 2.0 * (Z(9) @ Z(8)) + 0.5 * (Z(6) @ Z(7)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(10) @ Z(7)) + 1.0 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(12) @ Z(10)) + 1.0 * (... | 5 | 15 | 1 | {"smallest_eigenvalues": [-44.99999999999951], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.28571428571351, "smallest_bitstrings": ["000110000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(0.806) q[0];
rz(0.002) q[0];
rx(0.8041) q[1];
rz(0.0024) q[1];
rx(0.7958) q[2];
rz(0.002) q[2];
rx(0.004) q[3];
rz(0.1911) q[3];
rx(0.0024) q[4];
rz(-0.5349) q[4];
rx(0.8094) q[5];
rz(0.0022) q[5];
rx(0.8053) q[6];
rz(0.0022) q[6];
rx(0.803) 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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
473775bc8d8b4cca680d00f7b64c1aa1 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [8, 41], "expectation_value": -3.5203207111073875, "params": [[[1.5875000000000001, -0.001], [-0.0014, 0.0029000000000000002], [1.6083, 0.1376], [-0.0369, 0.1368], [1.2728000000000002, 1.2650000000000001], [-1.5328000000000002, 1.5582]]], "bitstrings": ["110111", "010110"], "total_optimization_steps": 160, "... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.5 * Z(0) + -2.0 * Z(4) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(5) | 15 | 6 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["010011", "010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(1.5875) q[0];
ry(-0.0014) q[1];
ry(1.6083) q[2];
ry(-0.0369) q[3];
ry(1.2728) q[4];
ry(-1.5328) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(-0.001) q[0];
ry(0.0029) q[1];
ry(0.1376) q[2];
ry(0.1368) 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] 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;
ry(x0) q[0];
ry(x1... | null | {"circuits": [], "gradients": []} |
7111857690818177387 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 6], [5, 7], [0, 6], [1, 5], [2, 3], [3, 4], [2, 6]]} | {"states": [172, 233], "expectation_value": -0.012375836743599253, "params": [[0.0359], [-0.0247]], "bitstrings": ["01010011", "00010110"], "total_optimization_steps": 10, "probabilities": [0.004003699115004406, 0.004003699115004406], "optimization_time": 1.604935884475708} | 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(6) + 0.0 * Z(4) + 0.0 * Z(7) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["11101001", "00010110", "01010011", "10101100"]} | 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[6], q[4];
rz(0.0359) q[4];
cx q[6], q[4];
cx q[7], q[5];
rz(0.0359) q[5];
cx q[7], q[5];
cx q[6], q[0];
rz(0.0359) q[0];
cx q[6], q[0];
cx q[5], q[1];
rz(0.0359) q[1];
cx q[5], q[1];
cx q[6],... | 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[6], q[4];
rz(x0) q[4];
cx q[6], q[4];
cx q[7], q[5];
rz(x0) q[5];
cx q[7], q[5];
cx q[6], q[0];
rz(x0) q[0];
cx q[6], q[0];
cx q[5]... | null | {"circuits": [], "gradients": []} |
0576f6308603f18731ff58dc6a3ed219 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [81, 42], "expectation_value": -0.301066175615052, "params": [[0.0718], [-0.0649]], "bitstrings": ["0101110", "1010101"], "total_optimization_steps": 10, "probabilities": [0.008756210306368754, 0.009242276626288688], "optimization_time": 1.5750463008880615} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(4) + -1.0 * Z(5) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1010101"]} | 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(0.0718) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.0718) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.0718) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(0.0718) q[5];
cx q[0], q[5];
cx q[1], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(x0) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q... | null | {"circuits": [], "gradients": []} |
f7f48a306b224c39407553aaba18b93b | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "... | {"states": [4095, 4079], "expectation_value": -26.01781021528078, "params": [[[0.0028, 3.1613], [0.0034000000000000002, 0.0028], [0.0018000000000000002, -0.0029000000000000002], [0.003, -0.0022], [0.0021000000000000003, 0.0026000000000000003], [0.0021000000000000003, 0.002], [0.0028, 0.0024000000000000002], [-1.6096000... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + 1.0 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + -2.0 * (Z(10) @ Z(8)) + 1.0 * (Z(11) @ Z(9)) + -2.0 * (Z(11) @ Z(8))... | 15 | 12 | 1 | {"smallest_eigenvalues": [-26.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.5, "smallest_bitstrings": ["000000010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0028) q[0];
ry(0.0034) q[1];
ry(0.0018) q[2];
ry(0.003) q[3];
ry(0.0021) q[4];
ry(0.0021) q[5];
ry(0.0028) q[6];
ry(-1.6096) q[7];
ry(0.0026) q[8];
ry(0.003) q[9];
ry(0.003) q[10];
ry(0.0026) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
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] 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... | {"node": 8} | {"circuits": [], "gradients": []} |
16efd0d1722058bdcecd0a47f621047a | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 5}, {"weight": 17, "source": 0, "target": 4}, {"weight": 14, "source": 1, "target": 2}, {"weight": 1... | {"states": [126, 122], "expectation_value": -27.283804494623787, "params": [[0.0342, -0.0022, 0.008400000000000001], [-0.0761, -0.0524, -0.0673]], "bitstrings": ["10000001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.013717343908060292, 0.017257295522969743], "optimization_time": 7.022799253463745... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(1)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) @ Z(4)) + 3.5 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-66.5], "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(0.2394) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2394) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2394) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.2394) q[3];
cx q[0], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
3928188676e428b6c75c7255e5b5e044 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "s... | {"states": [17, 153], "expectation_value": -12.954368081351323, "params": null, "bitstrings": ["111101110", "101100110"], "total_optimization_steps": 60, "probabilities": [0.1936060412929956, 0.6096660806695061], "optimization_time": 103.45450901985168} | -0.75 * (Z(0) @ Z(3)) + -0.75 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(7) @ Z(3)) + -1.0 * (Z(7) @ Z(0)) + -1.25 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(1) @ Z(7)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(1)) + 3.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-14.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.75, "smallest_bitstrings": ["101100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-1.57) q[3];
cry(-1.5708) q[8], q[0];
ry(1.0258) q[8];
ry(-1.5708) q[6];
ry(-0.0646) q[0];
cry(1.5705) q[8], q[4];
cry(-0.0988) q[4], q[0];
cry(1.5642) q[1], q[5];
cry(1.2307) q[5], q[1... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.57) 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] = me... |
62d59a2c57c5a5e03bc57aa993d43fe2 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 15, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}, {"... | {"states": [110, 109], "expectation_value": -10.79242361095043, "params": [[0.0002, -0.024900000000000002, -0.025500000000000002], [-0.0031000000000000003, 0.0369, 0.0562]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.008028707794342716, 0.009562626349616903], "optimizati... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 15.5 * Z(1) + 1.5 * Z(0) + 15.5 * ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.0016) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0016) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0016) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0016) q[3];
cx q[1], q[3];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
6913e77a092e6b8e92c97148a6d379f5 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [56, 54], "expectation_value": -0.3990883617788229, "params": [[-0.0599, -0.056400000000000006, -0.0514, -0.0453], [0.06910000000000001, 0.0721, 0.07, 0.0659]], "bitstrings": ["1000111", "1001001"], "total_optimization_steps": 10, "probabilities": [0.013155166014595349, 0.01555981743983518], "optimization_ti... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(4) @ Z(5)) + 0.... | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.625, "smallest_bitstrings": ["1001001"]} | 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(-0.03) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.03) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.03) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.03) q[0];
cx q[1], q[0];
cx q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-2734888469241241909 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 3], [0, 5], [4, 6], [3, 4], [0, 1], [1, 3], [2, 4], [1, 4], [1, 2]]} | {"states": [38, 89], "expectation_value": -0.0186807355904903, "params": [[0.030000000000000002], [-0.034800000000000005]], "bitstrings": ["1011001", "0100110"], "total_optimization_steps": 10, "probabilities": [0.007976122716359883, 0.007976122716359883], "optimization_time": 2.3114120960235596} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.5, "smallest_bitstrings": ["0011011", "1000100", "1100100", "0101011", "1010100", "0111011", "0100110", "1011001"]} | 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(0.03) q[0];
cx q[3], q[0];
cx q[0], q[5];
rz(0.03) q[5];
cx q[0], q[5];
cx q[3], q[4];
rz(0.03) q[4];
cx q[3], q[4];
cx q[4], q[6];
rz(0.03) q[6];
cx q[4], q[6];
cx q[3], q[1];
rz(0.03) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4];
cx q[4], q[6];
... | null | {"circuits": [], "gradients": []} |
70084b84ab6bcd1923895c004533d5a8 | 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": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, ... | {"states": [20, 22], "expectation_value": -3.0042196568544273, "params": [[[0.0011, -0.3905], [0.783, 0.0041], [0.79, 0.0037], [0.7832, 0.005], [0.8062, 0.001], [0.7866000000000001, 0.0022], [0.0984, 0.35650000000000004]], [[0.004200000000000001, 0.0068000000000000005], [0.78, 0.0007], [0.7856000000000001, 0.0089], [0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + -1.0 * Z(5) + -1.0 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["1110001", "1001011", "1010011", "1101001", "1101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0011) q[0];
rz(-0.3905) q[0];
rx(0.783) q[1];
rz(0.0041) q[1];
rx(0.79) q[2];
rz(0.0037) q[2];
rx(0.7832) q[3];
rz(0.005) q[3];
rx(0.8062) q[4];
rz(0.001) q[4];
rx(0.7866) q[5];
rz(0.0022) q[5];
rx(0.0984) q[6];
rz(0.3565) q[6];
rx(0.0042) q[0];
rz(0.0068... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
62cf0b1aa2f21b710dc273bc2e7c1873 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [32, 31], "expectation_value": -1.1116853323469602, "params": [[-0.054700000000000006, -0.058100000000000006], [0.07060000000000001, 0.07]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.024411393142647196, 0.02524567055579883], "optimization_time": 2.224955081939697... | -0.5 * (Z(0) @ Z(4)) + 0.75 * (Z(5) @ Z(0)) + -1.5 * (Z(1) @ Z(5)) + -2.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.75 * Z(4) + -0.25 * Z(0) + -1.25 * Z(5) + 0.25 * Z(1) + 1.25 * Z(2) + 1.75 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-6.75, -6.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.75, "smallest_bitstrings": ["100000", "100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(0.0547) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(-0.0821) q[5];
cx q[0], q[5];
cx q[5], q[1];
rz(0.1641) q[1];
cx q[5], q[1];
cx q[4], q[2];
rz(0.2188) q[2];
cx q[4], q[2];
cx q[1], q[2];
rz(0.082... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
509484119f07e1809dd2a1292e120901 | 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": [231, 167], "expectation_value": -74.91126678698862, "params": [-0.0053, -0.0023, 0.0006000000000000001, 0.0056, 0.0315, 0.0074, 0.6066, 0.6058, 0.36660000000000004, 0.3654, 0.6023000000000001, 0.6031000000000001, 0.3104, 0.3083, 0.20090000000000002, 0.17650000000000002, 0.5975, 0.5963, 0.5946, 0.59710000000... | 7.5 * (Z(0) @ Z(3)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(7) @ Z(9)) + 7.5 * (Z(8) @ Z(5)) + 7.5 * (Z(8) @ Z(4)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(10) @ Z(6)) + 10.0 * Z(3) + -4.5 * Z(0) + -5.5 * Z(2) + 15.0 * Z(5) + 3.5 * Z(4) + 3.0 * Z(6) + 8.0 * Z(9) + -2.5 * Z(7) + 16.5 * Z(8) ... | 14 | 11 | 2 | {"smallest_eigenvalues": [-108.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -102.0, "smallest_bitstrings": ["11101011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0053) q[0];
ry(0.0006) q[1];
ry(0.0315) q[2];
ry(0.6066) q[3];
ry(0.3666) q[4];
ry(0.6023) q[5];
ry(0.3104) q[6];
ry(0.2009) q[7];
ry(0.5975) q[8];
ry(0.5946) q[9];
ry(0.5942) q[10];
crx(-0.0205) q[10], q[0];
crx(0.5894) q[9], q[10];
crx(-0.0099) q[8],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
fbd951d8e0967f93aa199e767c7a8404 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [70, 69], "expectation_value": -5.996463978766435, "params": null, "bitstrings": ["0111001", "0111010"], "total_optimization_steps": 29, "probabilities": [0.06634843263544207, 0.9303661238199928], "optimization_time": 27.108773946762085} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * Z(1) + -1.0 * Z(0) + -1.5 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["0111010", "0111001"]} | 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[2];
ry(-1.5681) q[3];
ry(1.4449) q[4];
ry(1.4449) q[0];
cry(-1.0343) q[6], q[5];
ry(0.7003) q[6];
ry(-0.4549) q[5];
cry(0.4963) q[4], q[6];
cry(-0.3789) q[4], q[5];
cry(0.2... | 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", ... |
8105489110330658096 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4, 5, 6], [0, 1, 3], [1, 6], [1, 3, 4], [0, 5, 6], [1, 2, 4, 5], [0, 1, 4], [0, 2, 3, 6], [0, 2, 4, 6]]} | {"states": [110, 79], "expectation_value": -2.334907082301021, "params": null, "bitstrings": ["0010001", "0110000"], "total_optimization_steps": 39, "probabilities": [0.053897469344915204, 0.8586887594797519], "optimization_time": 53.54966855049133} | 0.25 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + 0.25 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.3333333333333333 * (Z(0) @ Z(6)) + 0... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.416666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.333333333333333, "smallest_bitstrings": ["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];
ry(1.5486) q[0];
ry(1.4074) q[4];
cry(-1.1811) q[6], q[1];
ry(0.8191) q[6];
cry(-0.5607) q[4], q[1];
cry(0.494) q[0], q[6];
cry(1.0261) q[6], q[3];
cry(-0.3374) q[3], q[1];
cry(-0.6494) q[5], q[2];
ry(0.3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5486) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
b34692bbb393a9c8c39ee60500b791d0 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [975, 911], "expectation_value": -14.47583101473614, "params": null, "bitstrings": ["0000110000", "0001110000"], "total_optimization_steps": 100, "probabilities": [0.07623483213516363, 0.5469210886847208], "optimization_time": 206.33565855026245} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ 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(8)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + -1.5 * Z(4) + -1.5 * Z(3) + -1.5... | 1 | 10 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["0001110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
ry(-1.5708) q[5];
ry(-1.5577) q[3];
ry(-1.5708) q[4];
cry(1.5706) q[6], q[8];
ry(1.056) q[6];
cry(1.5707) q[6], q[9];
cry(1.5701) q[8], q[7];
cry(0.4073) q[7], q[8];
cry(1.5681) ... | null | {"node": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5... |
177860aeb0336e4d74e733a089b052c3 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [48855, 48615], "expectation_value": -14.120059523808008, "params": [[-0.15430000000000002, -0.1265], [0.1689, 0.1569]], "bitstrings": ["0100000100101000", "0100001000011000"], "total_optimization_steps": 20, "probabilities": [0.0009008612304294214, 0.0009020387472789272], "optimization_time": 27.76150226593... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.25 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(... | 1 | 16 | 2 | {"smallest_eigenvalues": [-20.499999999999904], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.499999999999858, "smallest_bitstrings": ["0100001000011000"]} | 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[2], q[0];
rz(-0.1543) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.1543) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.1543) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}], "edges": [{"source": 2, "target": 3}, {"source": 2, "target": 1}, {"source": 3, "target": 1}]}} | {"circuits": [], "gradients": []} |
1536b63d241483fb5dc02588be4ba19b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [124, 126], "expectation_value": -1.3405816922894516, "params": [[[0.5043, 0.1058], [0.6364000000000001, 0.0522], [0.6987, -0.3025], [0.2792, 0.7008], [0.6062000000000001, 0.681], [0.6918000000000001, 0.3044], [0.636, 0.5849], [0.6564, 0.6782], [0.6547000000000001, 0.43660000000000004], [0.2553, 0.7061000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(2) @ Z(6)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(4) @ Z(7)) + 0.0625 * (Z(5) @ Z(6)) + 0.0625 * (Z(5) @ Z(7)) + 0.0625 * (Z(6) @ Z(7)) + -0.0625 * (Z(4) @ Z(5) @ Z... | 15 | 10 | 3 | {"smallest_eigenvalues": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.4375, "smallest_bitstrings": ["1011000001", "1010010001", "1110000001", "1001010001", "0110100001", "1001100001... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.5043) q[0];
ry(0.6364) q[1];
ry(0.6987) q[2];
ry(0.2792) q[3];
ry(0.6062) q[4];
ry(0.6918) q[5];
ry(0.636) q[6];
ry(0.6564) q[7];
ry(0.6547) q[8];
ry(0.2553) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
3816890346353333803 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 5], [3, 4], [2, 6], [4, 5], [0, 6], [1, 3]]} | {"states": [114, 118], "expectation_value": -1.7370443557646957, "params": null, "bitstrings": ["0001101", "0001001"], "total_optimization_steps": 50, "probabilities": [0.15211869666356004, 0.5342880925965425], "optimization_time": 52.07308530807495} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -1.0, "smallest_bitstrings": ["0100101", "1011000", "0001101", "1011100", "0001011", "1110010", "1110100", "1110110", "1011010", "0100111", "0001001", "0100011... | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.0342) q[5], q[3];
cry(-1.0342) q[2], q[6];
ry(0.7003) q[2];
cry(-0.7092) q[0], q[6];
cry(1.1516) q[2], q[0];
ry(0.7003) q[5];
cry(-0.7092) q[4], q[3];
cry(1.2201) q[5], q[1];
cry(-0.2658) q[1], q[3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
9c42d64a7466ccf874275fc8844c2c25 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [7, 106], "expectation_value": -0.2593715263757763, "params": [[0.075], [-0.07680000000000001]], "bitstrings": ["1111000", "0010101"], "total_optimization_steps": 10, "probabilities": [0.009011651791638622, 0.00921055557386543], "optimization_time": 1.426567554473877} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(4) + 0.0 * Z(0) + -2.0 * Z(2) + -0.5 * Z(1) + -1.0 * Z(6) + -1.0 * Z(3) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(0.075) q[0];
cx q[4], q[0];
cx q[4], q[2];
rz(0.075) q[2];
cx q[4], q[2];
cx q[2], q[1];
rz(0.075) q[1];
cx q[2], q[1];
cx q[2], q[6];
rz(0.075) q[6];
cx q[2], q[6];
cx q[1], q[6];
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;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2]... | null | {"circuits": [], "gradients": []} |
9e8a866d2c0011b6946d4c64e758f31c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [21, 28], "expectation_value": -3.999900324820463, "params": null, "bitstrings": ["101010", "100011"], "total_optimization_steps": 26, "probabilities": [1.7187519564476356e-05, 0.999950071649245], "optimization_time": 20.265803575515747} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[0];
ry(-1.4449) q[5];
ry(-1.4449) q[4];
ry(1.4417) q[3];
ry(1.4417) q[1];
ry(1.4384) q[2];
cry(-0.1259) q[3], q[4];
cry(-0.1259) q[2], q[5];
cry(0.1246) q[3], q[2];
cry(0.1218) q[2], q[1];
cry(0.121... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
4e789b5f5e852b62538cbace7bbd9fdb | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [20, 52], "expectation_value": -3.478988330539286, "params": [[0.002, 0.7939, 0.91, 0.0022, 1.4061000000000001, 0.0023, 0.003], [0.002, 1.4096, 1.4021000000000001, 0.0023, 1.4053, 0.0022, 0.0019]], "bitstrings": ["1101011", "1001011"], "total_optimization_steps": 140, "probabilities": [0.32949453318110217, 0... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(1) @ Z(4) @ Z(5)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + ... | 10 | 7 | 1 | {"smallest_eigenvalues": [-4.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.125, "smallest_bitstrings": ["1001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.002) q[0];
ry(0.7939) q[1];
ry(0.91) q[2];
ry(0.0022) q[3];
ry(1.4061) q[4];
ry(0.0023) q[5];
ry(0.003) q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
cz q[0], q[6];
ry(0.002) q[0];
ry(1.4096) q[1];
ry(1.40... | 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;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
... | null | {"circuits": [], "gradients": []} |
1a4362188b6951d8767035d8d38385f1 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [343, 327], "expectation_value": -2.85792822398328, "params": [0.6921, -0.018500000000000003, 0.010700000000000001, -0.3357, 0.7018, -0.1484, 0.0002, 0.40850000000000003, 0.4803, 0.30820000000000003, 0.037700000000000004, 0.46830000000000005, 0.6935, 0.2861, 0.6867000000000001, 0.22840000000000002, 0.7030000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(4) @ Z(0) @ Z(6)) + -0.125 * (Z(4) @ Z(0) ... | 16 | 9 | 4 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.375, "smallest_bitstrings": ["110101000", "001101010", "100101010", "010101010", "010101100", "010111000", "010110100", "010110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.6921) q[0];
rz(-0.0185) q[0];
rx(0.0107) q[1];
rz(-0.3357) q[1];
rx(0.7018) q[2];
rz(-0.1484) q[2];
rx(0.0002) q[3];
rz(0.4085) q[3];
rx(0.4803) q[4];
rz(0.3082) q[4];
rx(0.0377) q[5];
rz(0.4683) q[5];
rx(0.6935) q[6];
rz(0.2861) q[6];
rx(0.6867) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] 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 flo... | null | {"circuits": [], "gradients": []} |
109dd65f843c7effe1b685156edca6d7 | 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": 0, "ta... | {"states": [5, 7], "expectation_value": -16.45548884858461, "params": [0.099, 0.0134, 0.16160000000000002, 0.18100000000000002, 0.1268, 0.2025, 0.1481, 0.2051, 0.1652, 0.1847, 0.5024000000000001, 0.1018, 0.4909, 0.0796, 0.4902, 0.08710000000000001, 0.09730000000000001, 0.159, 0.1623, 0.18150000000000002, 0.1335, 0.2053... | 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)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + ... | 3 | 8 | 4 | {"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(0.099) q[0];
rz(0.0134) q[0];
rx(0.1616) q[1];
rz(0.181) q[1];
rx(0.1268) q[2];
rz(0.2025) q[2];
rx(0.1481) q[3];
rz(0.2051) q[3];
rx(0.1652) q[4];
rz(0.1847) q[4];
rx(0.5024) q[5];
rz(0.1018) q[5];
rx(0.4909) q[6];
rz(0.0796) q[6];
rx(0.4902) q[7];
rz(0.08... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
f20b14ccaf46fd91ed39b9c05edbe906 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target"... | {"states": [78, 46], "expectation_value": -1.8264666766165711, "params": null, "bitstrings": ["0110001", "1010001"], "total_optimization_steps": 55, "probabilities": [0.08695454096584285, 0.7299681582743718], "optimization_time": 87.00182962417603} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(0) @ Z(6)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.12... | 1 | 7 | 2 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -1.125, "smallest_bitstrings": ["1010001", "1001010", "0110001", "1110000", "1011000", "0101100", "1010010", "0110100", "1001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.3016) q[3], q[2];
cry(-1.3016) q[1], q[0];
ry(1.0216) q[5];
cry(-0.4707) q[4], q[2];
ry(0.7782) q[4];
cry(0.6605) q[4], q[3];
cry(-0.3396) q[5], q[2];
cry(-0.4282) q[6], q[0];
cry(0.5413) q[3], q[4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.3016) q[3], 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... |
52d445418826abb1edfe2507a27ebafb | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 6}, {"weight": 20, "source": 1, "target": 5}, {"weight": 3, "source": 2, "target": 3}, {"... | {"states": [106, 110], "expectation_value": -24.05078916037951, "params": null, "bitstrings": ["10010101", "10010001"], "total_optimization_steps": 100, "probabilities": [0.12740879726852652, 0.13759641916956722], "optimization_time": 147.61933422088623} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 8.5 * Z(1) + 3.0 * Z(0) + 14.0 * Z(2) + 9.5 * Z(4) + 5.5 * Z(3) + 11.0 * Z(5) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.5, "smallest_bitstrings": ["10010001"]} | 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(22.4081) q[2];
ry(-5.9954) q[6];
ry(-8.9441) q[4];
ry(17.7441) q[7];
ry(62.9292) q[5];
cry(-25.2651) q[6], q[2];
cry(-4.8373) q[5], q[2];
cry(-11.3979) q[6], q[4];
ry(-0.4752) q[1];
ry(0.0881) ... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(22.4081) 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... |
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