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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
bf1143b4da322d8575cbceb5d64a46b1 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [255, 7], "expectation_value": -2.3583840056386682, "params": [[-0.08310000000000001], [0.08030000000000001]], "bitstrings": ["00000000", "11111000"], "total_optimization_steps": 10, "probabilities": [0.0072650501109084, 0.007556674797624374], "optimization_time": 2.5136795043945312} | -3.0 * (Z(0) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(0)) + -2.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + -3.0 * (Z(2) @ Z(3)) + 1.0 * (Z(2) @ Z(0)) + -3.0 * (Z(2) @ Z(4)) + -2.5 * (Z(2) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * Z(3) + 1.0 * Z(0) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(0.4986) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(-0.1662) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.3324) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.4155) q[1];
cx q[3], q[1];
cx q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[4]... | {"node": 2} | {"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": -32.254596087261625, "params": [[0.0303, 0.008, -0.0045000000000000005, -0.0071], [-0.0833, -0.0781, -0.0538, -0.035300000000000005]], "bitstrings": ["10000001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.016635389698961944, 0.020749343279345803], "optim... | 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 | 4 | {"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(0.2121) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2121) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2121) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.2121) 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": []} |
0ae9b6f2b61290137ab22e2dafb0c164 | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 23, "source": 0, "target": 4}, {"weight": 2, "source": 1, "target": 2}, {"weight": 21, "source": 1, "target": 3}, {"weight": 5, "source": ... | {"states": [411, 413], "expectation_value": -5.7106844257852964, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741875, 0.8578073217068284], "optimization_time": 88.18373703956604} | 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(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 5 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001010100", "001100010", "010001100", "010100001", "100010001", "100001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5681) q[8];
ry(1.5681) q[4];
ry(1.5681) q[0];
cry(-1.0342) q[6], q[7];
cry(-1.0342) q[5], q[2];
ry(1.3762) q[1];
cry(-0.5042) q[1], q[2];
ry(1.1464) q[5];
cry(-1.3967) q[5], q[3];
cry... | null | {"start_node": 0, "end_node": 4} | {"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(1.5681) 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... |
3291141126542986732 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 6], [9, 1], [2, 5], [2, 7], [8, 7], [8, 10], [1, 7], [10, 3], [1, 2], [0, 1], [10, 7], [0, 7], [0, 3], [2, 4], [9, 3], [9, 5], [3, 5], [8, 9], [8, 4], [4, 6], [0, 10], [10, 2], [1, 6], [4, 7], [9, 2], [1, 4], [9, 7], [9, 4]]} | {"states": [1635, 1123], "expectation_value": -0.06546474360998011, "params": [[[1.6608, 0.0022], [1.5259, 0.0037], [1.4704000000000002, 0.006], [1.4502000000000002, 0.008400000000000001], [1.6556000000000002, 0.0021000000000000003], [1.6473, 0.0035], [1.475, 0.0024000000000000002], [1.471, 0.0079], [1.4579, 0.00450000... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(10)... | 1 | 11 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["01110011100", "11001100011", "10001100011", "00110011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.6608) q[0];
rz(0.0022) q[0];
rx(1.5259) q[1];
rz(0.0037) q[1];
rx(1.4704) q[2];
rz(0.006) q[2];
rx(1.4502) q[3];
rz(0.0084) q[3];
rx(1.6556) q[4];
rz(0.0021) q[4];
rx(1.6473) q[5];
rz(0.0035) q[5];
rx(1.475) q[6];
rz(0.0024) q[6];
rx(1.471) 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": []} |
fbcd8d42152af1c7a21b28feb060f7a7 | 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": [1145, 1081], "expectation_value": -104.64502597914921, "params": [0.0024000000000000002, 0.9800000000000001, 1.3988, 0.2897, 0.7431, 0.47900000000000004, 0.0024000000000000002, -0.7263000000000001, 0.0027, 0.6393, 0.7858, 0.2335, 1.4012, 0.006500000000000001, 1.3953, -0.00030000000000000003, 1.3956000000000... | 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(7) @ Z(5)) + 7.5 * (Z(8) @ Z(5)) + 7.5 * (Z(9) @ Z(6)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10) @ Z(1)) + 7.5 * (Z(11) @ Z(2)) + 7.5 * (Z(11) @ Z(7)) + 7.5 * (Z(11) @ Z(10)) + 6.5 * Z(1) + 11.0 * Z(2) + 15.5 * Z(6) + 12.5 * Z(5... | 18 | 12 | 2 | {"smallest_eigenvalues": [-131.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -121.0, "smallest_bitstrings": ["101111000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.0024) q[0];
rz(0.98) q[0];
rx(1.3988) q[1];
rz(0.2897) q[1];
rx(0.7431) q[2];
rz(0.479) q[2];
rx(0.0024) q[3];
rz(-0.7263) q[3];
rx(0.0027) q[4];
rz(0.6393) q[4];
rx(0.7858) q[5];
rz(0.2335) q[5];
rx(1.4012) q[6];
rz(0.0065) q[6];
rx(1.3953) 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": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
-2152747744284093579 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 2, 4, 5, 7, 8], [1, 3, 4, 5, 7, 8, 9], [0, 2, 6, 7, 9], [0, 2, 5, 7, 8, 9], [1, 3, 5, 6, 8], [0, 1, 2, 8, 9], [9, 3, 6], [0, 1, 3, 8, 9], [1, 3, 4, 5, 6, 7], [0, 1, 2, 3, 7, 9]]} | {"states": [303, 431], "expectation_value": -1.947594063561021, "params": [0.45130000000000003, 0.0038, 3.1387, 0.0092, 1.592, 0.0014, 0.4212, 0.0039000000000000003, 2.5661, 0.0067, 0.4499, 0.008, 3.1395, 0.0011, 3.1386000000000003, 0.0085, 3.1446, 0.0048000000000000004, 3.1436, 0.002, 0.0076, 0.006900000000000001, 0.0... | 0.15714285714285714 * (Z(0) @ Z(1)) + 0.10714285714285715 * (Z(2) @ Z(1)) + 0.19047619047619047 * (Z(2) @ Z(0)) + 0.08095238095238094 * (Z(4) @ Z(1)) + 0.023809523809523808 * (Z(4) @ Z(0)) + 0.023809523809523808 * (Z(4) @ Z(2)) + 0.13095238095238096 * (Z(5) @ Z(1)) + 0.05714285714285714 * (Z(5) @ Z(0)) + 0.057142857142... | 16 | 10 | 1 | {"smallest_eigenvalues": [-2.1142857142857148, -2.1142857142857148], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0809523809523816, "smallest_bitstrings": ["1001010000", "0011010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.4513) q[0];
rz(0.0038) q[0];
rx(3.1387) q[1];
rz(0.0092) q[1];
rx(1.592) q[2];
rz(0.0014) q[2];
rx(0.4212) q[3];
rz(0.0039) q[3];
rx(2.5661) q[4];
rz(0.0067) q[4];
rx(0.4499) q[5];
rz(0.008) q[5];
rx(3.1395) q[6];
rz(0.0011) q[6];
rx(3.1386) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
e8fdec38f32f10530d269f6547919d57 | 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": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [50, 26], "expectation_value": -3.999900324820464, "params": null, "bitstrings": ["001101", "100101"], "total_optimization_steps": 26, "probabilities": [1.718751956347206e-05, 0.9999500716492452], "optimization_time": 20.449707508087158} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -1.5 * Z(5) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[5];
ry(-1.4449) q[0];
ry(-1.4449) q[3];
ry(1.4417) q[4];
ry(1.4417) q[1];
ry(1.4384) q[2];
cry(-0.1259) q[4], q[3];
cry(-0.1259) q[2], q[0];
cry(0.1246) q[4], 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[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
8a8a4905c9b0f8fd7847dc408134a288 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}], "edges": [{"capacity": 5, "source": 0, "target": 1}]} | {"states": [4, 0], "expectation_value": -0.11205825380855139, "params": [[0.046200000000000005, 0.0531, 0.0334], [-0.0323, -0.0443, -0.033800000000000004]], "bitstrings": ["011", "111"], "total_optimization_steps": 10, "probabilities": [0.13235466014012862, 0.14638900879349218], "optimization_time": 2.399411201477051} | -0.2 * (Z(0) @ Z(1)) + -0.4 * (Z(2) @ Z(1)) + -0.2 * (Z(2) @ Z(0)) + -1.0 * Z(1) + -0.5 * Z(0) + -1.0 * Z(2) | 1 | 3 | 3 | {"smallest_eigenvalues": [-3.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(-0.0185) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.037) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0185) q[2];
cx q[0], q[2];
rz(-0.0924) q[1];
rz(-0.0462) q[0];
rz(-0.0924) q[2];
h q[0];
rz(-0.0646) q[0];
h q[0];
h q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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": 1} | {"circuits": [], "gradients": []} |
-8322962800216742581 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 2, 6], [0, 3], [1, 3, 5], [0, 2, 5, 6], [0, 1, 2, 4], [1, 2, 3, 6]]} | {"states": [58, 114], "expectation_value": -1.7097304420977366, "params": null, "bitstrings": ["1000101", "0001101"], "total_optimization_steps": 33, "probabilities": [0.05914573061840367, 0.9159040077881344], "optimization_time": 42.380232095718384} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(6)) + 0.16666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.7499999999999996, -1.7499999999999996], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.666666666666667, "smallest_bitstrings": ["0011000", "0001101"]} | 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(1.4745) q[1];
ry(1.0375) q[2];
cry(-1.0734) q[0], q[3];
ry(0.7015) q[0];
cry(-0.4649) q[1], q[3];
cry(0.5003) q[1], q[0];
ry(-0.3611) q[3];
ry(0.6025) q[5];
cry(-0.6596) q[2], q[6];
cry(0.5466) q[1], q... | 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(1.4745) 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", "... |
450b85ef8c9161083436ac2e2293ec06 | 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": [235, 233], "expectation_value": -60.022581523200245, "params": [[[0.020800000000000003, 0.8448], [0.9759000000000001, 1.165], [0.0129, 1.2633], [0.8177000000000001, 1.4799], [-0.0055000000000000005, 1.4532], [0.8300000000000001, 0.3079], [0.4161, 0.47200000000000003], [0.22920000000000001, 0.901700000000000... | 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(1) @ Z(3)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(6) @ Z(2)) + 5.5 * (Z(7) @ Z(3)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(8) @ Z(7)) + 7.0 * Z(0) + 22.5 * Z(3) + 19.5 * ... | 15 | 9 | 2 | {"smallest_eigenvalues": [-88.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.5, "smallest_bitstrings": ["100010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0208) q[0];
ry(0.9759) q[1];
ry(0.0129) q[2];
ry(0.8177) q[3];
ry(-0.0055) q[4];
ry(0.83) q[5];
ry(0.4161) q[6];
ry(0.2292) q[7];
ry(0.0745) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
de167a9b4a9a72a71124748f271368ff | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1250, 1249], "expectation_value": -81.17199929117812, "params": [[[0.6948000000000001, 0.0238], [0.2429, 0.027], [0.0606, 0.031], [0.6664, 0.4278], [0.4126, 0.6814], [0.1642, 0.6899000000000001], [0.0495, 0.523], [-0.2518, 0.0767], [0.068, -0.4872], [0.6758000000000001, 0.7011000000000001], [0.1119, -0.1133... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(6) @ Z(3)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(8) @ Z(0)) + 7.0 * (Z(9) @ Z(4)) + 7.0 * (Z(10) @ Z(5)) + 7.0 * (Z(10) @ Z(9)) + -2.5 * Z(1) + 8.0 * Z(0) + 7.5 * Z(3) + -3.5 * Z(2) + 13.5 * Z(5) + 17.0 * Z(4) + 11.5 * Z(6) + -5... | 15 | 11 | 4 | {"smallest_eigenvalues": [-99.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -95.0, "smallest_bitstrings": ["01100011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.6948) q[0];
ry(0.2429) q[1];
ry(0.0606) q[2];
ry(0.6664) q[3];
ry(0.4126) q[4];
ry(0.1642) q[5];
ry(0.0495) q[6];
ry(-0.2518) q[7];
ry(0.068) q[8];
ry(0.6758) q[9];
ry(0.1119) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
72ec18873d3dc55875c8efef46485470 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 4}, {"capaci... | {"states": [23, 31], "expectation_value": -7.754560702134295, "params": null, "bitstrings": ["101000", "100000"], "total_optimization_steps": 61, "probabilities": [0.09911762242074067, 0.6587799551517071], "optimization_time": 60.14971303939819} | -1.25 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -2.5 * (Z(2) @ Z(3)) + -2.25 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + 2.25 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + 1.0 * Z(3) + -0.25 * Z(0) + -1.25 * Z(4) + -0.25 * Z(1) + 0.75 * Z(2) + 0.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(1.5708) q[2], q[3];
ry(1.0726) q[2];
ry(0.5017) q[3];
cry(1.5708) q[2], q[1];
cry(1.5708) q[2], q[4];
cry(1.5708) q[3], q[5];
cry(-1.0416) q[4], q[2];
cry(-0.0142) q[3], q[2];
cry(-0.0242) q[1], q[2];
cry(-0.... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5708) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... |
18f51c81d01a61d58a5d6da20c55ce9d | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [0, 135], "expectation_value": -26.33909370390593, "params": [-0.0006000000000000001, 0.5492, -0.001, 0.8274, 0.0021000000000000003, 0.523, 0.0028, 0.8517, -0.6162000000000001, -0.5217, -0.36260000000000003, -0.4806, 0.0031000000000000003, 0.9292, 0.0041, 0.8657, 0.0011, 0.9511000000000001, 0.001300000000000... | -2.5 * (Z(0) @ Z(3)) + -3.5 * (Z(6) @ Z(3)) + -3.0 * (Z(6) @ Z(0)) + -3.5 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(6)) + -2.5 * (Z(4) @ Z(1)) + 1.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(6)) + -3.0 * (Z(5) @ Z(1)) + 1.0... | 6 | 10 | 3 | {"smallest_eigenvalues": [-28.0, -28.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -25.0, "smallest_bitstrings": ["0000000000", "1101111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0006) q[0];
rz(0.5492) q[0];
rx(0.0021) q[1];
rz(0.523) q[1];
rx(-0.6162) q[2];
rz(-0.5217) q[2];
rx(0.0031) q[3];
rz(0.9292) q[3];
rx(0.0011) q[4];
rz(0.9511) q[4];
rx(-0.0007) q[5];
rz(0.7682) q[5];
rx(-0.0016) q[6];
rz(0.7216) q[6];
rx(0.6681) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 2} | {"circuits": [], "gradients": []} |
6172ec2f30329f156b64312801e66ef4 | 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": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 6... | {"states": [64, 47], "expectation_value": -2.3905639603952555, "params": [[0.0728, 0.058100000000000006, 0.0789], [-0.08420000000000001, -0.0506, -0.0717]], "bitstrings": ["0111111", "1010000"], "total_optimization_steps": 10, "probabilities": [0.018131260684809365, 0.01969954333252652], "optimization_time": 3.41756725... | -1.25 * (Z(0) @ Z(2)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -1.0 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -1.5 * Z(2) + -0.25 * Z(0) + 1.75 * Z(1) + -1.5 * Z(3) + -0.25 * Z(6) + 1.25 * Z(4) + 0.5 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.5, "smallest_bitstrings": ["1011010", "1011000", "1010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.182) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.182) q[1];
cx q[2], q[1];
cx q[1], q[3];
rz(-0.0364) q[3];
cx q[1], q[3];
cx q[2], q[6];
rz(-0.1456) q[6];
cx q[2], q[6];
cx q[0], q[6];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
351f46008c2fa6d2dfb6c8e40fb9b957 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [42, 21], "expectation_value": -0.12102363236725366, "params": [[0.0558], [-0.045000000000000005]], "bitstrings": ["1010101", "1101010"], "total_optimization_steps": 10, "probabilities": [0.00840905916111542, 0.008487361705279257], "optimization_time": 2.4093523025512695} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(4) + -1.0 * Z(6) + -1.0 * Z(5) + 0.0 * Z(3) | 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": ["1101010", "0110101", "1010101", "1100011"]} | 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(0.0558) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0558) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0558) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.0558) q[4];
cx q[1], q[4];
cx q[0], 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;
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": []} |
9963c266c8ee556cddb5b688a938b2f1 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "targ... | {"states": [16383, 16255], "expectation_value": -21.099105030129824, "params": [[[0.0031000000000000003, 2.7071], [-0.0031000000000000003, -0.0031000000000000003], [-0.0031000000000000003, -0.0031000000000000003], [-0.003, -0.0031000000000000003], [-0.0018000000000000002, -0.0021000000000000003], [-0.0027, 0.002], [-1.... | -2.0 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + -2.0 * (Z(10) @ Z(12)) + -2.0 * (Z(11) @ Z(12)) + 0.5 * (Z(11) @ Z(10))... | 15 | 14 | 1 | {"smallest_eigenvalues": [-22.999999999999947], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.999999999999876, "smallest_bitstrings": ["00000010000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
ry(0.0031) q[0];
ry(-0.0031) q[1];
ry(-0.0031) q[2];
ry(-0.003) q[3];
ry(-0.0018) q[4];
ry(-0.0027) q[5];
ry(-1.6164) q[6];
ry(-0.0019) q[7];
ry(-0.0022) q[8];
ry(-0.0018) q[9];
ry(-0.0033) q[10];
ry(-0.003) q[11];
ry(-0.003) q[12];
ry(-0.0025) q[13];
cx q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 5} | {"circuits": [], "gradients": []} |
32087ba2b3a645f34fcdf9295fac10e1 | 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": 3, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 8}, {"capacity": 6, "source": 0, "target":... | {"states": [516, 772], "expectation_value": -22.495714592852767, "params": [-0.0051, 0.0027, 0.3529, 0.3528, 0.2394, 0.2409, 0.01, -0.010400000000000001, 0.004, -0.0016, 0.004, -0.001, 0.0014, 0.0028, -0.0008, 0.0039000000000000003, -0.2398, -0.2786, 0.0038, 0.0023, 0.0037, -0.0001, -0.0122, -0.001, 0.3899, 0.3912, 0.2... | -0.75 * (Z(0) @ Z(4)) + -1.25 * (Z(9) @ Z(4)) + -1.5 * (Z(9) @ Z(0)) + -0.75 * (Z(2) @ Z(4)) + 2.5 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(9)) + -0.75 * (Z(1) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(6) @ Z(1)) + -1.5 * (Z(6) @ Z(3)) + -1.25 * (Z(8) @ Z(4)) + -1.25 * (Z(8) @ Z(2)) + -1.75 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @... | 14 | 11 | 4 | {"smallest_eigenvalues": [-23.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["10011111011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0051) q[0];
ry(0.3529) q[1];
ry(0.2394) q[2];
ry(0.01) q[3];
ry(0.004) q[4];
ry(0.004) q[5];
ry(0.0014) q[6];
ry(-0.0008) q[7];
ry(-0.2398) q[8];
ry(0.0038) q[9];
ry(0.0037) q[10];
crx(0.8539) q[10], q[0];
crx(-0.8885) q[9], q[10];
crx(0.0119) q[8], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
5977c975ee74442620a2f317f357b942 | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 7}, {"source": 2, "target": 5}, {"source": 2, "ta... | {"states": [181, 149], "expectation_value": -3.6606252840470157, "params": [[[0.503, -0.0036000000000000003], [-0.015000000000000001, 0.2561], [0.34840000000000004, -0.0329], [0.5044000000000001, 0.0039000000000000003], [-0.0205, -0.2576], [0.4505, 0.0055000000000000005], [0.0046, -0.27080000000000004], [0.5061, -0.003... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -1.0 * Z(3) + -0.5 * Z(7) + -0.5 * Z(5) + -0.5 * Z(2) + -1.... | 1 | 8 | 4 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["01101010", "01001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.503) q[0];
rz(-0.0036) q[0];
rx(-0.015) q[1];
rz(0.2561) q[1];
rx(0.3484) q[2];
rz(-0.0329) q[2];
rx(0.5044) q[3];
rz(0.0039) q[3];
rx(-0.0205) q[4];
rz(-0.2576) q[4];
rx(0.4505) q[5];
rz(0.0055) q[5];
rx(0.0046) q[6];
rz(-0.2708) q[6];
rx(0.5061) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
fc7b19754949f0e05a27875fb69f344a | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}]} | {"states": [13, 31], "expectation_value": -5.236158886356721, "params": [[0.053200000000000004, 0.013300000000000001], [-0.0746, -0.0512]], "bitstrings": ["11110010", "11100000"], "total_optimization_steps": 10, "probabilities": [0.006400949292588412, 0.006439365764859504], "optimization_time": 5.179901838302612} | 2.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(4)) + 3.0 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -3.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.125 * (Z(2) @ Z(0)) + 9.0 * Z(4) + 4.5 * Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-22.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.125, "smallest_bitstrings": ["11100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[3];
rz(0.2128) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(0.6384) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(0.3192) q[5];
cx q[3], q[5];
cx q[4], q[6];
rz(-0.1064) q[6];
cx q[4], q[6];
cx q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
a71cab9e3ba720ee8fc5b11fa692bee6 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"sour... | {"states": [199, 455], "expectation_value": -5.629673590765932, "params": [0.4, 0.3985, 0.4062, 0.4031, 0.4026, 0.4067, 0.0059, 0.0098, 0.0008, -0.0049, 0.012400000000000001, 0.0043, 0.402, 0.40090000000000003, 0.4025, 0.4038, 0.4047, 0.40800000000000003, 0.4067, 0.4, 0.40540000000000004, 0.40030000000000004, 0.4041, 0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ 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(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + -1.5 * Z(3) ... | 13 | 9 | 2 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["000111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.4) q[0];
ry(0.4062) q[1];
ry(0.4026) q[2];
ry(0.0059) q[3];
ry(0.0008) q[4];
ry(0.0124) q[5];
ry(0.402) q[6];
ry(0.4025) q[7];
ry(0.4047) q[8];
crz(-0.0028) q[8], q[0];
crz(-0.0008) q[7], q[8];
crz(0.0015) q[6], q[7];
crz(0.214) q[5], q[6];
crz(-0.205) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
03ff3a7533d396b93efc645d4aae3cbe | 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": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [134, 150], "expectation_value": -2.447404862753423, "params": [1.6049, 0.0071, 0.38, 0.0081, 1.2744, 0.008, 1.599, 0.003, 0.5556, 0.0005, 1.6023, 0.005200000000000001, 1.6052000000000002, 0.0024000000000000002, -0.002, 0.0067, 0.009600000000000001, 0.0088, 0.01, 0.0036000000000000003, 0.0005, 0.0033, 0.005]... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + -0.5 * Z(4) + -0.5 * Z(0) + -1.5 * Z(7) + -1.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(5) + 0.0 * Z(3) + -0.5 * Z(6) | 3 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["01011001", "01101001", "00101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.6049) q[0];
rz(0.0071) q[0];
rx(0.38) q[1];
rz(0.0081) q[1];
rx(1.2744) q[2];
rz(0.008) q[2];
rx(1.599) q[3];
rz(0.003) q[3];
rx(0.5556) q[4];
rz(0.0005) q[4];
rx(1.6023) q[5];
rz(0.0052) q[5];
rx(1.6052) q[6];
rz(0.0024) q[6];
rx(-0.002) q[7];
rz(0.0067)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
da3c81488557dc57e6e1f0bd43d65336 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [22, 41], "expectation_value": -0.17690103895923454, "params": [[0.0684, 0.053500000000000006], [-0.068, -0.0459]], "bitstrings": ["101001", "010110"], "total_optimization_steps": 10, "probabilities": [0.019562564231038172, 0.01956256423103818], "optimization_time": 2.0115506649017334} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["010110", "101001"]} | 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(0.0684) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(0.0684) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(0.0684) q[2];
cx q[1], q[2];
cx q[2], q[3];
rz(0.0684) q[3];
cx q[2], q[3];
cx q[4], q[5];
rz(0.0684... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[1... | null | {"circuits": [], "gradients": []} |
cea40deaccddfc7c282a06b59a6c5087 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, ... | {"states": [1963, 1962], "expectation_value": -1.569341543562199, "params": [1.0016, 0.0032, 1.0055, -0.0018000000000000002, 1.0010000000000001, -0.002, 1.0003, 0.0001, 0.0018000000000000002, 0.4575, 1.0009000000000001, 0.042800000000000005, 0.36050000000000004, 0.3231, 0.9961000000000001, -0.0734, 0.7702, -0.1789, 0.9... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 16 | 11 | 2 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.8125, "smallest_bitstrings": ["00001100110", "00001100011", "00011100010", "00101010100", "10001000011", "00011011000", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.0016) q[0];
rz(0.0032) q[0];
rx(1.0055) q[1];
rz(-0.0018) q[1];
rx(1.001) q[2];
rz(-0.002) q[2];
rx(1.0003) q[3];
rz(0.0001) q[3];
rx(0.0018) q[4];
rz(0.4575) q[4];
rx(1.0009) q[5];
rz(0.0428) q[5];
rx(0.3605) q[6];
rz(0.3231) q[6];
rx(0.9961) 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": []} |
d75363653ef00cde7e482c2c3392dff7 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [11, 9], "expectation_value": -5.563214693258336, "params": [0.0064, -0.0551, 0.0092, -0.029300000000000003, 0.0021000000000000003, -0.132, -0.0117, -0.2223, 0.012400000000000001, -0.1537, -0.0026000000000000003, -0.201, -0.003, -0.22610000000000002, -0.0011, -0.3065, 0.0002, -0.2092, -0.010400000000000001, ... | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(8) @ Z(3)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) ... | 5 | 9 | 4 | {"smallest_eigenvalues": [-5.75, -5.75, -5.75, -5.75, -5.75, -5.75, -5.75, -5.75], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.75, "smallest_bitstrings": ["100000000", "101110010", "101110000", "101000000", "111110000", "111110100", "111110110", "111110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0064) q[0];
rz(-0.0551) q[0];
rx(0.0021) q[1];
rz(-0.132) q[1];
rx(0.0124) q[2];
rz(-0.1537) q[2];
rx(-0.003) q[3];
rz(-0.2261) q[3];
rx(0.0002) q[4];
rz(-0.2092) q[4];
rx(0.3879) q[5];
rz(0.1025) q[5];
rx(0.0068) q[6];
rz(-0.1876) q[6];
rx(0.0017) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
5a8eac0760a558d4174437be478ec0aa | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [5, 21], "expectation_value": -2.0719430976342794, "params": null, "bitstrings": ["11010", "01010"], "total_optimization_steps": 28, "probabilities": [0.13262953595047108, 0.6775037254469125], "optimization_time": 16.587418794631958} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + 0.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["01010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.4449) q[0];
cry(-1.0398) q[2], q[3];
cry(-1.0398) q[4], q[1];
ry(0.7022) q[4];
ry(0.7022) q[2];
ry(-0.4578) q[3];
ry(-0.4578) q[1];
cry(0.4586) q[4], q[2];
cry(0.4522) q[2], q[4];
cry(-0.351) q[2], q[1];
cry(-0.344... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.4449) q[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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
7c42f5cbaf3924d31d7b57a9c6bb4341 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 1}, {"capaci... | {"states": [7166, 7678], "expectation_value": -16.96007616243199, "params": null, "bitstrings": ["0010000000001", "0001000000001"], "total_optimization_steps": 100, "probabilities": [0.09227745111348416, 0.676988273225044], "optimization_time": 398.02983593940735} | 0.5 * (Z(5) @ Z(10)) + 2.0 * (Z(11) @ Z(10)) + 1.0 * (Z(11) @ Z(5)) + 0.5 * (Z(6) @ Z(10)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(11)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(4) @ Z(10)) + -1.0 * (Z(4) @ Z(11)) + -0.5 * (Z(4) @ Z(7)) + 1.0 * (Z(8) @ Z(5)) + 1.0 * (Z(8) @ Z(6)) + 2.0 * (Z(8) @ Z(7)) + -... | 1 | 13 | 4 | {"smallest_eigenvalues": [-17.7, -17.7, -17.7, -17.7], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -17.5, "smallest_bitstrings": ["1000000001001", "1000100100001", "0001000000001", "0010000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
ry(0.4397) q[11];
ry(0.4397) q[8];
cry(1.0878) q[8], q[11];
cry(0.0908) q[11], q[8];
ry(1.5708) q[6];
cry(0.9428) q[6], q[8];
ry(1.5707) q[5];
cry(1.56... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nry(0.4397) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = mea... |
266260d621043cabf37512f90b4b26ac | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [102, 86], "expectation_value": -0.1677041783106129, "params": [[-0.0358, -0.0359], [0.0347, 0.0318]], "bitstrings": ["0011001", "0101001"], "total_optimization_steps": 10, "probabilities": [0.008543554471704806, 0.008753765316224623], "optimization_time": 2.838837146759033} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(6) + -1.0 * Z(2) + 0.0 * Z(1) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101001", "0011001"]} | 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(-0.0358) q[0];
cx q[3], q[0];
cx q[3], q[6];
rz(-0.0358) q[6];
cx q[3], q[6];
cx q[0], q[6];
rz(-0.0358) q[6];
cx q[0], q[6];
cx q[3], q[2];
rz(-0.0358) q[2];
cx q[3], q[2];
cx q[6], 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] 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": []} |
7c42f5cbaf3924d31d7b57a9c6bb4341 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 1}, {"capaci... | {"states": [7166, 7678], "expectation_value": -16.96007616243198, "params": null, "bitstrings": ["0010000000001", "0001000000001"], "total_optimization_steps": 100, "probabilities": [0.09227745111348414, 0.6769882732250436], "optimization_time": 515.1058967113495} | 0.5 * (Z(5) @ Z(10)) + 2.0 * (Z(11) @ Z(10)) + 1.0 * (Z(11) @ Z(5)) + 0.5 * (Z(6) @ Z(10)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(11)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(4) @ Z(10)) + -1.0 * (Z(4) @ Z(11)) + -0.5 * (Z(4) @ Z(7)) + 1.0 * (Z(8) @ Z(5)) + 1.0 * (Z(8) @ Z(6)) + 2.0 * (Z(8) @ Z(7)) + -... | 1 | 13 | 1 | {"smallest_eigenvalues": [-17.7, -17.7, -17.7, -17.7], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -17.5, "smallest_bitstrings": ["1000100100001", "0010000000001", "1000000001001", "0001000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
ry(0.4397) q[11];
ry(0.4397) q[8];
cry(1.0878) q[8], q[11];
cry(0.0908) q[11], q[8];
ry(1.5708) q[6];
cry(0.9428) q[6], q[8];
ry(1.5707) q[5];
cry(1.56... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nry(0.4397) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = mea... |
de837449b9b1ac221f958aa18f8b69de | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 6, "target": 7}]} | {"states": [96, 103], "expectation_value": -5.51053427534641, "params": [-0.27540000000000003, 0.036500000000000005, -0.47300000000000003, 0.4214, -0.32120000000000004, 0.0241, -0.4884, 0.46230000000000004, 0.0018000000000000002, 0.6036, -0.013000000000000001, 0.4428, 0.0031000000000000003, 0.49010000000000004, -0.002,... | -1.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) | 6 | 7 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["0011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.2754) q[0];
rz(0.0365) q[0];
rx(-0.3212) q[1];
rz(0.0241) q[1];
rx(0.0018) q[2];
rz(0.6036) q[2];
rx(0.0031) q[3];
rz(0.4901) q[3];
rx(-0.4601) q[4];
rz(0.1941) q[4];
rx(-0.4064) q[5];
rz(0.2753) q[5];
rx(-0.3719) q[6];
rz(0.4035) q[6];
crx(0.6235) q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 3} | {"circuits": [], "gradients": []} |
4700601e722e5f0a0c40acc2968ffc97 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [10, 12], "expectation_value": -2.474107462142595, "params": null, "bitstrings": ["10101", "10011"], "total_optimization_steps": 13, "probabilities": [0.0739790737679243, 0.9005751343260909], "optimization_time": 7.216741323471069} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["10011", "11010", "01011", "10101"]} | 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(-1.5681) q[0];
ry(-1.4449) q[4];
ry(1.4417) q[1];
cry(-1.0398) q[2], q[3];
ry(0.7022) q[2];
ry(-0.4578) q[3];
cry(0.4969) q[1], q[2];
cry(-0.3761) q[1], q[3];
cry(-0.1216) q[1], q[4];
cry(0.1097) q[2], q[1];
cry(-0.07... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
4d7217bfad7fde8e3edae459aaed01ff | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 4, "source": 1, "target": 2}, {"capac... | {"states": [1022, 511], "expectation_value": -19.625491924432783, "params": [[[-0.006500000000000001, 0.0001], [-0.009300000000000001, 1.9848000000000001], [0.0023, 0.0021000000000000003], [0.0028, 0.0018000000000000002], [0.007, 0.0018000000000000002], [0.0021000000000000003, 0.003], [0.0002, 0.0032], [0.0032, -0.002]... | -0.75 * (Z(0) @ Z(3)) + -0.5 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(8)) + -1.0 * (Z(2) @ Z(1)) + -2.0 * (Z(4) @ Z(3)) + -2.25 * (Z(4) @ Z(8)) + -1.25 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -1.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(8)) + -1.0 * (Z(5) @ Z(2)) + -0.75 * (Z(6) @ Z(8)) + -0.5 * (Z(6) @ Z(2)) + 1.5 * (Z(9) @ ... | 15 | 10 | 3 | {"smallest_eigenvalues": [-20.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.25, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0065) q[0];
ry(-0.0093) q[1];
ry(0.0023) q[2];
ry(0.0028) q[3];
ry(0.007) q[4];
ry(0.0021) q[5];
ry(0.0002) q[6];
ry(0.0032) q[7];
ry(0.0002) q[8];
ry(-0.8254) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
-3004246369895625678 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 4, 5, 7], [8, 3, 4, 5], [3, 6], [0, 1, 5], [1, 3], [0, 1, 4], [8, 2, 7], [8, 1, 4, 5], [8, 1, 0], [8, 0, 2], [3, 4, 5, 7], [4, 5, 6, 7]]} | {"states": [249, 221], "expectation_value": -3.4314795147808255, "params": null, "bitstrings": ["100000110", "100100010"], "total_optimization_steps": 47, "probabilities": [0.06269975455438756, 0.9100124121669656], "optimization_time": 98.31162619590759} | 0.21666666666666667 * (Z(0) @ Z(2)) + 0.05 * (Z(4) @ Z(2)) + 0.21666666666666667 * (Z(4) @ Z(0)) + 0.05 * (Z(5) @ Z(2)) + 0.21666666666666667 * (Z(5) @ Z(0)) + 0.3833333333333333 * (Z(5) @ Z(4)) + 0.21666666666666667 * (Z(7) @ Z(2)) + 0.05 * (Z(7) @ Z(0)) + 0.21666666666666667 * (Z(7) @ Z(4)) + 0.21666666666666667 * (Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.533333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.366666666666667, "smallest_bitstrings": ["100100010"]} | 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(1.5512) q[5];
ry(1.4977) q[8];
cry(-1.0339) q[6], q[3];
ry(1.2428) q[1];
ry(0.7787) q[6];
cry(-0.8271) q[1], q[3];
cry(0.6416) q[5], q[6];
cry(-1.1002) q[1], q[0];
ry(1.0024) q[2];
cry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5512) 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] = m... |
43307769d8a05a2ca68cecbc0fed0778 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1}, {"capaci... | {"states": [25, 31], "expectation_value": -3.06970238287601, "params": null, "bitstrings": ["100110", "100000"], "total_optimization_steps": 40, "probabilities": [0.18712618216087368, 0.5299561105391241], "optimization_time": 32.43925952911377} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 0.75 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(5)) + 0.0 * Z(1) + -0.25 * Z(0) + -1.0 * Z(4) + -0.25 * Z(5) + 1.0 * Z(2) + 0.5 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.25, "smallest_bitstrings": ["100000", "100110", "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];
ry(1.5681) q[2];
cry(1.5158) q[4], q[3];
cry(-1.4449) q[5], q[0];
ry(0.9915) q[5];
cry(1.3938) q[5], q[1];
cry(-0.5146) q[1], q[0];
cry(0.3185) q[1], q[5];
cry(-0.1656) q[2], q[0];
ry(0.1487) q[1];
cry(0.0538) q[... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
9c1ee192c2f57fe7cc46ca444fd40044 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [32, 1], "expectation_value": -7.942303765670233, "params": null, "bitstrings": ["011111", "111110"], "total_optimization_steps": 18, "probabilities": [0.15643410268844596, 0.8141130102870059], "optimization_time": 13.331647396087646} | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + 2.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -0.25 * Z(0) + 0.0 * Z(4) + 0.25 * Z(2) + 0.75 *... | 1 | 6 | 2 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[1];
cry(-1.5708) q[5], q[0];
ry(1.0958) q[5];
ry(-0.5471) q[0];
ry(-1.5699) q[4];
ry(-1.5486) q[3];
ry(-1.5708) q[2];
cry(-0.0778) q[0], q[5];
cry(-0.0222) q[5], q[3];
cry(-0.0158) q[0], q[3];
cry(-... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[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... |
b383d5e4264711dd92b4a62180be161a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [190, 1214], "expectation_value": -0.8947905476823821, "params": [[[1.5947, 0.0018000000000000002], [1.2777, 0.0019], [1.2637, 0.0051], [1.6051, 0.0073], [0.9976, 0.0099], [1.6065, 0.0085], [1.61, 0.0031000000000000003], [1.6112000000000002, 0.0004], [1.5976000000000001, 0.0027], [1.6056000000000001, 0.0064]... | 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(4) @ Z(7) @ Z(6)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(8) @ Z(2)) + 0.125 * (Z(9) @ Z(2)) + 0.125 * (Z(8) @ Z(6)) + 0.125 * (Z(9) @ Z(6)) + 0.125 * (Z(8) @ Z(9)) + -0.125 * (... | 1 | 11 | 1 | {"smallest_eigenvalues": [-4.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.625, "smallest_bitstrings": ["01101000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.5947) q[0];
rz(0.0018) q[0];
rx(1.2777) q[1];
rz(0.0019) q[1];
rx(1.2637) q[2];
rz(0.0051) q[2];
rx(1.6051) q[3];
rz(0.0073) q[3];
rx(0.9976) q[4];
rz(0.0099) q[4];
rx(1.6065) q[5];
rz(0.0085) q[5];
rx(1.61) q[6];
rz(0.0031) q[6];
rx(1.6112) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
7027bf4700e2cca2b06c9dc2f8c2504b | 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": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "... | {"states": [1023, 4095], "expectation_value": -1.0015339647450028, "params": [[-0.051000000000000004], [0.0666]], "bitstrings": ["110000000000", "000000000000"], "total_optimization_steps": 10, "probabilities": [0.0004037123735015657, 0.00040371237350156586], "optimization_time": 2.3194968700408936} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(7)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + -2.0 * (Z(10) @ Z(8)) + -2.0 * (Z(11) @ Z(9)) + -2.0 * (Z(11) @ Z(8)) + -2.0 * (Z(11) @ Z(10)) + -1.0 * Z(1) + 1.0... | 1 | 12 | 1 | {"smallest_eigenvalues": [-23.5, -23.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -22.5, "smallest_bitstrings": ["110000000000", "000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(0.153) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(0.153) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(0.153) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.0... | 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[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | {"node": 2} | {"circuits": [], "gradients": []} |
dab40a2f654e93a72357d226e03c7017 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [863, 855], "expectation_value": -0.9122257238939533, "params": [2.188, 0.0067, 2.0297, 0.004200000000000001, 0.9793000000000001, 0.0086, 2.0716, 0.0027, 0.6649, 0.0006000000000000001, 2.1993, 0.0026000000000000003, 1.5697, 0.0068000000000000005, 2.2059, 0.0028, 2.2028000000000003, 0.0018000000000000002, 2.0... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(5) @ Z(0)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(5) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) ... | 18 | 10 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.375, "smallest_bitstrings": ["0011000100", "1000100001", "0101000010", "0010101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(2.188) q[0];
rz(0.0067) q[0];
rx(2.0297) q[1];
rz(0.0042) q[1];
rx(0.9793) q[2];
rz(0.0086) q[2];
rx(2.0716) q[3];
rz(0.0027) q[3];
rx(0.6649) q[4];
rz(0.0006) q[4];
rx(2.1993) q[5];
rz(0.0026) q[5];
rx(1.5697) q[6];
rz(0.0068) q[6];
rx(2.2059) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
f42f60bb0bb033a90edc3f33834ff9ec | 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": [1161, 1177], "expectation_value": -121.91575206889614, "params": [[-0.0028, 0.7839, -0.0034000000000000002, 0.0385, 0.8282, 0.002, -0.0555, 0.1617, 0.8637, -0.09670000000000001, 0.0035, 0.7854], [-0.0026000000000000003, 0.7793, -0.002, 0.0727, 0.8063, -0.0054, 0.0529, 0.8965000000000001, 0.8933000000000001,... | 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(6) @ Z(4)) + 8.0 * (Z(7) @ Z(3)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(5) @ Z(8)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(10) @ Z(1)) + 8.0 * (Z(11) @ Z(4)) + 8.0 * (Z(11) @ Z(6)) + -6.0 * Z(2) + 8.0 * Z(1) + 17.5 * Z(4) + 3.0 * Z(3) + 4.5 * Z(6) + 14.0 * Z... | 10 | 12 | 3 | {"smallest_eigenvalues": [-143.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -135.0, "smallest_bitstrings": ["101101100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0028) q[0];
ry(0.7839) q[1];
ry(-0.0034) q[2];
ry(0.0385) q[3];
ry(0.8282) q[4];
ry(0.002) q[5];
ry(-0.0555) q[6];
ry(0.1617) q[7];
ry(0.8637) q[8];
ry(-0.0967) q[9];
ry(0.0035) q[10];
ry(0.7854) q[11];
cz q[11], q[10];
cz q[10], q[9];
cz q[9], 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] 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, 14]}"} | {"circuits": [], "gradients": []} |
6e104488336dc4e2d5aa766674769faa | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [113, 116], "expectation_value": -5.49988376277548, "params": null, "bitstrings": ["0001110", "0001011"], "total_optimization_steps": 31, "probabilities": [1.6414156695510915e-05, 0.9999151816609215], "optimization_time": 25.76160717010498} | 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 | 1 | {"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];
ry(-1.5708) q[3];
ry(-1.5681) q[5];
ry(-1.4449) q[6];
ry(1.4449) q[1];
ry(1.4449) q[0];
ry(1.4417) q[2];
ry(1.4417) q[4];
cry(-0.1259) q[4], q[6];
cry(0.1217) q[1], q[2];
cry(0.1216) q[2], q[4];
cry(0.118... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
20b257e7ab3ea05503daa46ec3868b05 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [52, 37], "expectation_value": -1.093013355631523, "params": [[-0.0522, -0.0309, -0.051300000000000005, -0.0574], [0.07690000000000001, 0.0395, 0.0579, 0.058100000000000006]], "bitstrings": ["001011", "011010"], "total_optimization_steps": 10, "probabilities": [0.026261239412106875, 0.026261239412106927], "o... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * Z(2) + -0.5 * Z(0) + -1.5 * Z(4) + -1.0 * Z(1) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["001011", "011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(-0.0522) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.0522) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.0522) q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(-0.0522) q[1];
cx q[2], q[1];
cx q[4], q[1];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
911c0350d38064fce133b145f43937d0 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [1245, 1117], "expectation_value": -2.778018720142741, "params": [[[1.1972, -0.0035], [0.2605, -0.4761], [0.24400000000000002, -0.4832], [0.7885000000000001, 0.1917], [1.1989, -0.0019], [0.0018000000000000002, 0.8588], [1.2059, -0.0015], [1.1996, -0.0009000000000000001], [1.1881000000000002, -0.0006000000000... | 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(3) @ Z(1)) + 0.125 * (Z(3) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(3) @ Z(1)) + -0.125 * (Z(0) @ Z(3) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3) @ Z(1) @ Z(2)) + 0.03125 * ... | 1 | 11 | 2 | {"smallest_eigenvalues": [-3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.90625, "smallest_bitstrings": ["00011101010", "01100100110", "01100100011", "01100110001", "001011... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.1972) q[0];
rz(-0.0035) q[0];
rx(0.2605) q[1];
rz(-0.4761) q[1];
rx(0.244) q[2];
rz(-0.4832) q[2];
rx(0.7885) q[3];
rz(0.1917) q[3];
rx(1.1989) q[4];
rz(-0.0019) q[4];
rx(0.0018) q[5];
rz(0.8588) q[5];
rx(1.2059) q[6];
rz(-0.0015) q[6];
rx(1.1996) 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": []} |
ab957251534d09507f870c3a6ef42154 | 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": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [48, 5], "expectation_value": -0.024245735065152964, "params": [[-0.003, 0.047], [0.0173, -0.038400000000000004]], "bitstrings": ["001111", "111010"], "total_optimization_steps": 10, "probabilities": [0.016061507307770662, 0.016061507307770673], "optimization_time": 3.3007352352142334} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -0.25 * Z(0) + -0.25 * Z(1) + -0.75 * Z(2) + -0.25 * Z(3) + -0.75 * Z(4) + -... | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["011110", "111010", "101011", "001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0015) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0015) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0015) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.0015) 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] 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 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [206, 143], "expectation_value": -1.9921650704592762, "params": null, "bitstrings": ["00110001", "01110000"], "total_optimization_steps": 62, "probabilities": [0.09659391380377318, 0.7394272563540675], "optimization_time": 132.87913417816162} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -1.25, "smallest_bitstrings": ["01010100", "11000010", "00110001", "00111000", "10010001", "10000011", "01000110", "01001010", "01110000", "... | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.1871) q[6], q[3];
ry(1.1774) q[5];
cry(-0.5926) q[7], q[1];
ry(1.0634) q[4];
cry(-0.549) q[0], q[3];
cry(-0.8071) q[1], q[7];
ry(0.6521) q[6];
cry(0.8749) q[6], q[0];
ry(-0.3249) q[3];
cry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.1871) q[6], 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... |
9c42d64a7466ccf874275fc8844c2c25 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [102, 106], "expectation_value": -4.999874347869909, "params": null, "bitstrings": ["0011001", "0010101"], "total_optimization_steps": 34, "probabilities": [1.7113027183428194e-05, 0.9999243263153885], "optimization_time": 28.92129898071289} | 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];
ry(-1.5708) q[2];
ry(-1.4449) q[4];
ry(-1.4449) q[6];
ry(1.4449) q[5];
ry(1.4417) q[0];
ry(1.4417) q[1];
ry(1.4384) q[3];
cry(-0.1259) q[3], q[6];
cry(-0.1259) q[3], q[4];
cry(0.1243) q[5], q[3];
cry(0.12... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) 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", ... |
9f43fe75b2280c840369a5d99b502e49 | 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": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [85, 599], "expectation_value": -1.499950065229736, "params": [[1.5687, 0.0025, -0.191, 1.5734000000000001, 1.5734000000000001, 0.0, 0.16160000000000002, 0.42000000000000004, -0.0023, -0.0524], [1.568, 0.18560000000000001, -0.0024000000000000002, -0.7636000000000001, 0.014700000000000001, 0.00290000000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(1) @ Z(7)) + 0.25 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(1) @ Z(7)) ... | 9 | 10 | 4 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.125, "smallest_bitstrings": ["0101001001", "0010110010", "0010111000", "0110101000", "0011001100", "... | 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];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(1.5687) q[0];
rx(0.0025) q[1];
rx(-0.191... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
2e176b1388169c31718c374b42e0c725 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 1... | {"states": [64, 63], "expectation_value": -0.26400982006032164, "params": [[0.0043, 0.0641, 0.0729], [0.0604, -0.035300000000000005, -0.0597]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.010459567703009839, 0.010887369955000266], "optimization_time": 3.6065263748168945} | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + 0.25 * Z(5) + -0.25 * Z(0) + -0.75 * Z(6) + 0.0 * Z(1) + -0.25 ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[0];
rz(-0.0022) q[0];
cx q[5], q[0];
cx q[0], q[6];
rz(0.0043) q[6];
cx q[0], q[6];
cx q[6], q[1];
rz(-0.0022) q[1];
cx q[6], q[1];
cx q[1], q[2];
rz(-0.0022) q[2];
cx q[1], q[2];
cx q[5], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
dab40a2f654e93a72357d226e03c7017 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [17, 48], "expectation_value": -3.9741052551015095, "params": null, "bitstrings": ["101110", "001111"], "total_optimization_steps": 15, "probabilities": [0.07397911536985187, 0.9005728489954137], "optimization_time": 11.435479164123535} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -1.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["001111", "101110", "101101", "011011", "110110"]} | 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[2];
ry(-1.5681) q[4];
ry(-1.4449) q[3];
ry(1.4417) q[1];
cry(-1.0398) q[0], q[5];
ry(0.7022) q[0];
ry(-0.4578) q[5];
cry(0.4969) q[1], q[0];
cry(-0.3761) q[1], q[5];
cry(-0.1216) q[1], q[3];
cry(0.1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
-3294643634394555141 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[2, 3, 7, 8, 10, 11], [0, 1, 2, 4, 5, 9, 10, 12], [0, 2, 7, 9, 11, 12], [2, 3, 4, 8, 10], [0, 8, 11, 4], [0, 1, 3, 6, 7, 8, 9, 11], [0, 4, 6, 8, 10, 12], [1, 5, 6, 10, 12], [0, 1, 2, 4, 5, 6, 10, 11], [0, 2, 3, 4, 5, 6, 10], [1, 2, 5, 7, 8, 11, 12], [... | {"states": [3931, 6815], "expectation_value": -1.585682149757207, "params": [[0.3488], [-0.3386]], "bitstrings": ["1000010100100", "0010101100000"], "total_optimization_steps": 40, "probabilities": [0.0004155399460581, 0.0004172825084572511], "optimization_time": 95.35506200790405} | 0.1488095238095238 * (Z(2) @ Z(3)) + 0.075 * (Z(7) @ Z(3)) + 0.11428571428571428 * (Z(7) @ Z(2)) + 0.11904761904761904 * (Z(8) @ Z(3)) + 0.125 * (Z(8) @ Z(2)) + 0.0988095238095238 * (Z(8) @ Z(7)) + 0.1488095238095238 * (Z(10) @ Z(3)) + 0.1845238095238095 * (Z(10) @ Z(2)) + 0.05714285714285714 * (Z(10) @ Z(7)) + 0.13452... | 12 | 13 | 1 | {"smallest_eigenvalues": [-2.6607142857142865], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.6273809523809524, "smallest_bitstrings": ["0010101100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
cx q[3], q[2];
rz(0.1038) q[2];
cx q[3], q[2];
cx q[3], q[7];
rz(0.0523) q[7];
cx q[3], q[7];
cx q[2], q[7];
rz(0.0797) q[7];
cx q[2], q[7];
cx q[3], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
7203b0dd22c47919131561d597fd7a8a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "s... | {"states": [33, 1], "expectation_value": -1.766111855797972, "params": [[0.0729, 0.0762], [-0.07690000000000001, -0.0716]], "bitstrings": ["111011110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.004931146184657568, 0.005449509835646646], "optimization_time": 3.330314874649048} | -1.0 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(0)) + 2.25 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -1.0 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.5, "smallest_bitstrings": ["111111110", "111101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(-0.1458) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.0365) q[3];
cx q[0], q[3];
cx q[2], q[6];
rz(-0.0365) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(-0.1094) q[6];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
6de3ca972134e3b2df718cabf76739a9 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [33, 49], "expectation_value": -1.2504429663587326, "params": [[0.0589, 0.0482, 0.068, 0.046400000000000004], [-0.067, -0.034800000000000005, -0.0539, -0.0402]], "bitstrings": ["011110", "001110"], "total_optimization_steps": 10, "probabilities": [0.024419336652462258, 0.02821701084548223], "optimization_tim... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -2.0 * Z(4) + 0.0 * Z(1) + -1.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(0.0589) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0589) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.0589) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(0.0589) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.0589... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
d2601bbf36e7658df88520110518167a | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": []} | {"states": [32445, 32190], "expectation_value": -13.148711445358593, "params": [[0.2031, 0.76], [-0.5136000000000001, -0.1927]], "bitstrings": ["1000000101000010", "1000001001000001"], "total_optimization_steps": 260, "probabilities": [0.0049116903374987345, 0.004911690337498735], "optimization_time": 68.81285881996155... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) ... | 1 | 16 | 2 | {"smallest_eigenvalues": [-16.000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.99999999999997, "smallest_bitstrings": ["1000001001000001"]} | 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[2];
rz(0.2031) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(0.2031) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(0.2031) 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[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... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 1}, {"id": 3}, {"id": 0}], "edges": []}} | {"circuits": [], "gradients": []} |
ac36c5a153720f2afd43ce774542e80a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capaci... | {"states": [32, 31], "expectation_value": -0.20472872522013064, "params": [[-0.0196, 0.0354], [0.030000000000000002, -0.0235]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.016779630157402643, 0.016838389753905485], "optimization_time": 3.1405956745147705} | -0.25 * (Z(0) @ Z(1)) + -2.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(3) + 2.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-10.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.25, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0098) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0882) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0588) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.098) q[4];
cx q[1], q[4];
cx q[3], q[4];
rz(0.0294)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
b4844a241e7c75ea7eb690acd3c4c004 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [443, 427], "expectation_value": -3.046307812051569, "params": [2.6756, 0.006200000000000001, 2.6095, 0.003, 1.5068000000000001, 0.0027, 2.3423000000000003, 0.0081, 1.5334, 0.0039000000000000003, 2.6677, 0.0034000000000000002, 1.5171000000000001, 0.0037, 2.6447000000000003, 0.0014, 2.6341, 0.0047, 0.008, 0.0... | 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) ... | 18 | 9 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001010100", "001100010", "010001100", "010100001", "100010001", "100001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(2.6756) q[0];
rz(0.0062) q[0];
rx(2.6095) q[1];
rz(0.003) q[1];
rx(1.5068) q[2];
rz(0.0027) q[2];
rx(2.3423) q[3];
rz(0.0081) q[3];
rx(1.5334) q[4];
rz(0.0039) q[4];
rx(2.6677) q[5];
rz(0.0034) q[5];
rx(1.5171) q[6];
rz(0.0037) q[6];
rx(2.6447) 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[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 0}, {"id": 1}], "edges": [{"source": 2, "target": 0}, {"source": 2, "target": 1}, {"source": 0, "target": 1}]}} | {"circuits": [], "gradients": []} |
2be9598749a54d45ae6c968f3644c50e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "... | {"states": [1, 7], "expectation_value": -0.13007177406527246, "params": [[0.061000000000000006, 0.0468], [-0.048600000000000004, -0.0439]], "bitstrings": ["1110", "1000"], "total_optimization_steps": 10, "probabilities": [0.06910220683576904, 0.06910239178044608], "optimization_time": 1.9996719360351562} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) + 0.25 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.0, "smallest_bitstrings": ["1110", "1100", "1000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(-0.0305) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.061) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.061) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0305) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.122) 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] 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[4] c;
qubit[4] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
0c3fcbc9e53b010416a5dc3cca6f6cb7 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"sour... | {"states": [171, 169], "expectation_value": -4.55391778232016, "params": [-0.010700000000000001, -0.0108, 0.3906, 0.39940000000000003, 0.32080000000000003, 0.3224, 0.40840000000000004, 0.40080000000000005, -0.0132, -0.009600000000000001, 0.4058, 0.40750000000000003, -0.0161, -0.013900000000000001, 0.3934, 0.39080000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + -0.5 * Z(1) ... | 13 | 9 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.5, "smallest_bitstrings": ["101010110", "011110100", "110010101", "111010100", "101100110", "100010111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0107) q[0];
ry(0.3906) q[1];
ry(0.3208) q[2];
ry(0.4084) q[3];
ry(-0.0132) q[4];
ry(0.4058) q[5];
ry(-0.0161) q[6];
ry(0.3934) q[7];
ry(0.407) q[8];
crz(0.0041) q[8], q[0];
crz(0.0028) q[7], q[8];
crz(-0.2052) q[6], q[7];
crz(-0.0005) q[5], q[6];
crz(0.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} |
86e4b8099a203166b41398b899a0f326 | 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": [1265, 1249], "expectation_value": -105.55338439003161, "params": [0.9927, 0.011300000000000001, 0.0023, 0.6359, 0.1908, 0.5558000000000001, 0.9981000000000001, 0.0024000000000000002, 0.9942000000000001, 0.0045000000000000005, 0.9993000000000001, 0.1763, 0.5684, 0.25730000000000003, -0.002, -0.5091, 0.0015, ... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(6) @ Z(3)) + 7.0 * (Z(4) @ Z(6)) + 7.0 * (Z(5) @ Z(2)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(9) @ Z(0)) + 7.0 * (Z(10) @ Z(3)) + 7.0 * (Z(10) @ Z(6)) + -6.5 * Z(1) + 8.0 * Z(0) + 15.0 * Z(3) + 2.5 * Z(2) + 18.0 * Z(6) + 15.0 * Z... | 18 | 11 | 3 | {"smallest_eigenvalues": [-118.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -109.0, "smallest_bitstrings": ["01100011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.9927) q[0];
rz(0.0113) q[0];
rx(0.0023) q[1];
rz(0.6359) q[1];
rx(0.1908) q[2];
rz(0.5558) q[2];
rx(0.9981) q[3];
rz(0.0024) q[3];
rx(0.9942) q[4];
rz(0.0045) q[4];
rx(0.9993) q[5];
rz(0.1763) q[5];
rx(0.5684) q[6];
rz(0.2573) q[6];
rx(-0.002) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
-2822516547489083760 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 5], [1, 2, 6], [3, 4, 7], [0, 2, 5], [0, 1, 2, 3], [0, 1, 5]]} | {"states": [108, 109], "expectation_value": -0.06090457204736635, "params": [[-0.0813], [0.0787]], "bitstrings": ["10010011", "10010010"], "total_optimization_steps": 10, "probabilities": [0.00420904201523551, 0.004244196490050199], "optimization_time": 2.238420009613037} | 0.5 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.08333333333333333 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.08333333333333333 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.1666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.9999999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.833333333333333, "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[5], q[3];
rz(-0.0813) q[3];
cx q[5], q[3];
cx q[5], q[1];
rz(-0.0271) q[1];
cx q[5], q[1];
cx q[3], q[1];
rz(-0.0135) q[1];
cx q[3], q[1];
cx q[5], q[2];
rz(-0.0271) q[2];
cx q[5], q[2];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[3];
rz(x0) q[3];
cx q[5],... | null | {"circuits": [], "gradients": []} |
13897d244e0881b4447dd2a9a298bf14 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 2}, {"weight": 19, "source": 0, "target": 6}, {"weight": 14, "source": 1, "target": 4}, {... | {"states": [123, 118], "expectation_value": -17.145725425231294, "params": [[-0.0349, -0.0088], [0.067, 0.07150000000000001]], "bitstrings": ["10000100", "10001001"], "total_optimization_steps": 10, "probabilities": [0.010422107721273617, 0.013150086967708115], "optimization_time": 4.165269613265991} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 11.0 * Z(1) + 6.5 * Z(0) + 13.5 * Z(2) + 11.0 * Z(3) + 6... | 1 | 8 | 2 | {"smallest_eigenvalues": [-62.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
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[0], q[3];
rz(-0.2792) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
148c98be54f48380a1d59caea5fb9c95 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 0, ... | {"states": [0, 1], "expectation_value": -19.442315408280294, "params": [0.0038, 0.1804, 0.0021000000000000003, 0.2918, 0.0029000000000000002, 0.4572, 0.0051, -0.4318, 0.0059, 0.226, 0.0021000000000000003, 0.4335, 0.0021000000000000003, 0.45730000000000004, 0.6038, 0.008400000000000001, 0.0018000000000000002, 0.2484, 0.... | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(0)) + -2.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3)... | 3 | 8 | 3 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0038) q[0];
rz(0.1804) q[0];
rx(0.0021) q[1];
rz(0.2918) q[1];
rx(0.0029) q[2];
rz(0.4572) q[2];
rx(0.0051) q[3];
rz(-0.4318) q[3];
rx(0.0059) q[4];
rz(0.226) q[4];
rx(0.0021) q[5];
rz(0.4335) q[5];
rx(0.0021) q[6];
rz(0.4573) q[6];
rx(0.6038) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
e69550c833474bf45ede93c29793364e | 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": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [117, 116], "expectation_value": -4.022175509203832, "params": [0.9921000000000001, 0.0008, 0.9981000000000001, -0.0006000000000000001, 0.997, 0.0026000000000000003, -0.0056, -0.3239, 1.0099, -0.002, 0.1763, -0.3346, 0.6739, 0.2792, 0.994, 0.0017000000000000001, 0.9977, 0.0, 0.9949, -0.0195, 0.0061, -0.01920... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(3) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(5) + -1.0 * Z(2) + -1.0 * Z(6) + 0.0 * Z(4) | 4 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0011010", "0001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.9921) q[0];
rz(0.0008) q[0];
rx(0.9981) q[1];
rz(-0.0006) q[1];
rx(0.997) q[2];
rz(0.0026) q[2];
rx(-0.0056) q[3];
rz(-0.3239) q[3];
rx(1.0099) q[4];
rz(-0.002) q[4];
rx(0.1763) q[5];
rz(-0.3346) q[5];
rx(0.6739) q[6];
rz(0.2792) q[6];
crx(-0.2895) 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": []} |
6de3ca972134e3b2df718cabf76739a9 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [33, 49], "expectation_value": -0.8262402875076005, "params": [[0.0752, 0.0765], [-0.067, -0.0689]], "bitstrings": ["011110", "001110"], "total_optimization_steps": 10, "probabilities": [0.020765943622250135, 0.022925881573019193], "optimization_time": 4.616900682449341} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -2.0 * Z(4) + 0.0 * Z(1) + -1.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(0.0752) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0752) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.0752) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(0.0752) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.0752... | 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[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
0c36283121e8c25f75256b89b8ad4f89 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target":... | {"states": [0, 384], "expectation_value": -19.046644097377907, "params": [1.1173, 0.2005, 0.7072, 0.008700000000000001, 1.1207, 0.1537, 0.5234, 0.005200000000000001, -0.0037, 1.5939, 0.0025, 0.005200000000000001, 0.0059, 2.0948, 0.0025, 0.0008, -0.0035, 1.5991, 0.0025, 0.0026000000000000003, 0.0019, -1.8860000000000001... | -1.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(3)) + 1.5 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(2)) + -2.5 * (Z(7) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + -2.5 * (Z(7) @ Z(4)) + -3.5 * (Z(8) @ Z(3)) + 1.5 * (Z(8) @ Z(2)) + -3.5 * (Z(8) @ Z(4)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(3)) + 0.5 *... | 6 | 9 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["001111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.1173) q[0];
rz(0.2005) q[0];
rx(1.1207) q[1];
rz(0.1537) q[1];
rx(-0.0037) q[2];
rz(1.5939) q[2];
rx(0.0059) q[3];
rz(2.0948) q[3];
rx(-0.0035) q[4];
rz(1.5991) q[4];
rx(0.0019) q[5];
rz(-1.886) q[5];
rx(0.0031) q[6];
rz(1.9762) q[6];
rx(0.0025) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} |
db350f4c6cc12fe7a27604bdeac9089b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 1, ... | {"states": [3, 1], "expectation_value": -0.5686306641372152, "params": [[-0.0795], [0.07880000000000001]], "bitstrings": ["11111100", "11111110"], "total_optimization_steps": 10, "probabilities": [0.0057648629298741195, 0.005958550445076871], "optimization_time": 2.3148744106292725} | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(3) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + 1.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + -1.75 * Z(1)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-11.0, -11.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["11111110", "11111100"]} | 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(0.0398) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.159) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0398) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.1192) q[3];
cx q[0], q[3];
cx q[2], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
74f1125e6d8fb81d50ccda86d2f6d4a3 | 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": [1424, 1425], "expectation_value": -88.88092820524865, "params": [[0.9909, -0.0108, 0.5118, 0.7117, 0.0838, -0.1076, 0.784, 0.002, -0.0038, 0.0006000000000000001, -0.0363], [0.9717, 0.0641, 0.9945, 1.0026000000000002, 0.37920000000000004, -0.06670000000000001, 0.8275, 0.0021000000000000003, 0.0043, 0.0044, 0... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(2) @ Z(0)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(8) @ Z(0)) + 7.5 * (Z(10) @ Z(1)) + 8.0 * Z(1) + 15.5 * Z(0) + 13.0 * Z(2) + 3.5 * Z(4) + 6.5 * Z(3) + 4.5 * Z(5) + 9.5 * Z(6) + -7.0 *... | 10 | 11 | 3 | {"smallest_eigenvalues": [-112.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -93.0, "smallest_bitstrings": ["01001101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.9909) q[0];
ry(-0.0108) q[1];
ry(0.5118) q[2];
ry(0.7117) q[3];
ry(0.0838) q[4];
ry(-0.1076) q[5];
ry(0.784) q[6];
ry(0.002) q[7];
ry(-0.0038) q[8];
ry(0.0006) q[9];
ry(-0.0363) q[10];
cz q[10], q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
31fafd24e2b21983a20dad3370ecb507 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [230, 118], "expectation_value": -23.20676055354621, "params": [[-0.025900000000000003, -0.010400000000000001, 0.0155], [0.0655, 0.0699, 0.0631]], "bitstrings": ["00011001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.014750283198782908, 0.017076896983002254], "optimization_time": 5.2513... | 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(1) @ Z(3)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(2) @ Z(1)) + 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(5)) + 5.0 * (Z(7) @ Z(6)) + 6.0 * Z(0) + 10.5 * Z(3) + 24.0 * Z(1) + 13.0 * Z(2) + 6... | 1 | 8 | 3 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[3];
rz(-0.259) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(-0.259) q[1];
cx q[0], q[1];
cx q[3], q[1];
rz(-0.259) q[1];
cx q[3], q[1];
cx q[0], q[2];
rz(-0.259) q[2];
cx q[0], q[2];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
a1d30927e8d1c8c726712f7d85b25667 | 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": 4, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 4, "source": 3, "target": 7}, {"capacity": 1, "source": 4, ... | {"states": [95, 127], "expectation_value": -0.0808840444212337, "params": [[-0.0303], [0.0227]], "bitstrings": ["10100000", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004061431673079408, 0.004066971115759378], "optimization_time": 2.1406612396240234} | -1.0 * (Z(0) @ Z(3)) + -1.75 * (Z(1) @ Z(6)) + -1.0 * (Z(7) @ Z(3)) + 1.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(6)) + -0.25 * (Z(2) @ Z(4)) + -0.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * Z(3) + -0.25 * Z(0) + 1.5 * Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -6.75, "smallest_bitstrings": ["10000000", "10110000", "10100000", "10010000", "10111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(0.0606) q[0];
cx q[3], q[0];
cx q[6], q[1];
rz(0.1061) q[1];
cx q[6], q[1];
cx q[3], q[7];
rz(0.0606) q[7];
cx q[3], q[7];
cx q[0], q[7];
rz(-0.0757) q[7];
cx q[0], q[7];
cx q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
7bc4dde9a09d0b94c5097b219891d81a | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 2}]} | {"states": [4, 9], "expectation_value": -0.034722631728181706, "params": [[0.0244, 0.016, -0.0221, -0.0465], [-0.041, -0.0386, -0.0207, 0.020900000000000002]], "bitstrings": ["1011", "0110"], "total_optimization_steps": 10, "probabilities": [0.06425315917258885, 0.06601793828092364], "optimization_time": 3.438042640686... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(0) @ Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + -0.25 * Z(0) + -0.5 * Z(1) + -0.25 * Z(3) + -0.75 * Z(2) | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.25, "smallest_bitstrings": ["0110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(0.0244) q[0];
cx q[1], q[0];
cx q[3], q[0];
rz(0.0122) q[0];
cx q[3], q[0];
cx q[2], q[0];
rz(0.0122) q[0];
cx q[2], q[0];
cx q[3], q[2];
rz(0.0122) q[2];
cx q[3], q[2];
cx q[3], q[2];
cx q[2], q[0];
rz(-0.0122... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
3d599008e6d247101eb02503201a8a05 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "so... | {"states": [108, 44], "expectation_value": -5.970784420673768, "params": [0.0025, 0.3523, 0.0023, 0.5745, 0.005, 0.1787, 0.0033, -0.5942000000000001, 0.0033, 0.5824, 0.7989, 0.2541, 0.7967000000000001, 0.3724, 0.549, 0.6973, 0.7971, 0.1948, 0.8046000000000001, 0.41150000000000003, 0.30760000000000004, 0.438, 0.7549, 0.... | 0.5 * (Z(5) @ Z(9)) + 2.0 * (Z(10) @ Z(9)) + 1.0 * (Z(10) @ Z(5)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(10)) + -0.5 * (Z(2) @ Z(9)) + -1.0 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(10)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -2.0 * (Z(3) @ Z(10)) + -0.5 * (Z(3) @ Z(6)) +... | 18 | 12 | 2 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 37, "first_excited_energy": -8.5, "sm... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.0025) q[0];
rz(0.3523) q[0];
rx(0.0023) q[1];
rz(0.5745) q[1];
rx(0.005) q[2];
rz(0.1787) q[2];
rx(0.0033) q[3];
rz(-0.5942) q[3];
rx(0.0033) q[4];
rz(0.5824) q[4];
rx(0.7989) q[5];
rz(0.2541) q[5];
rx(0.7967) q[6];
rz(0.3724) q[6];
rx(0.549) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
0541faf635a6399f550a5b5935bfa17a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [6, 24], "expectation_value": -0.3016680110330188, "params": [[-0.0776], [0.0752]], "bitstrings": ["111001", "100111"], "total_optimization_steps": 10, "probabilities": [0.01788782787985055, 0.017887827879850562], "optimization_time": 1.8206453323364258} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["010111", "111010", "111001", "100111", "011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0776) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0776) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0776) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.0776) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx ... | null | {"circuits": [], "gradients": []} |
-4843817210917714872 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 6], [8, 6], [2, 4, 7], [4, 5], [1, 3], [9, 4, 1], [0, 1, 5], [8, 9, 4], [9, 3, 4]]} | {"states": [790, 407], "expectation_value": -2.1135411830079445, "params": [[[1.5677, 1.6546], [1.4979, -0.0196], [-1.5905, 1.5723], [0.23240000000000002, 1.5719], [0.2641, 0.10990000000000001], [1.9838, 1.1159000000000001], [1.2587000000000002, 1.3201], [1.5725, 1.5679], [1.5770000000000002, 1.338], [1.569100000000000... | 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(8) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.16... | 15 | 10 | 1 | {"smallest_eigenvalues": [-3.3333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.333333333333333, "smallest_bitstrings": ["1001101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.5677) q[0];
ry(1.4979) q[1];
ry(-1.5905) q[2];
ry(0.2324) q[3];
ry(0.2641) q[4];
ry(1.9838) q[5];
ry(1.2587) q[6];
ry(1.5725) q[7];
ry(1.577) q[8];
ry(1.5691) 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": []} |
a4887282391b847c36275b441eb6d545 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": ... | {"states": [20, 3], "expectation_value": -0.5054580875542934, "params": [[-0.0734], [0.0776]], "bitstrings": ["101011", "111100"], "total_optimization_steps": 10, "probabilities": [0.018257204927452256, 0.01825720492745226], "optimization_time": 1.518347978591919} | 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(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(1) + -2.0 * Z(0) + -2.0 *... | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["111100", "101011"]} | 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(-0.0734) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0734) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0734) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.0734) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx ... | null | {"circuits": [], "gradients": []} |
3a5e93a6522b0debcced28655340b370 | 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": 7, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 7, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -29.99594838042041, "params": [0.0004, 0.1709, 0.0011, 0.2015, -0.0036000000000000003, 0.2275, -0.0005, 0.2381, 0.3003, -0.0002, 0.3039, -0.0001, -0.0011, 0.2403, -0.0018000000000000002, 0.2335, -0.0045000000000000005, 0.23390000000000002, -0.0046, 0.2354, -0.005, 0.2346, -0.00... | -1.75 * (Z(0) @ Z(3)) + -0.5 * (Z(8) @ Z(0)) + 2.5 * (Z(2) @ Z(0)) + -1.75 * (Z(1) @ Z(3)) + -2.25 * (Z(1) @ Z(8)) + -2.75 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(8)) + -0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -3.25 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(1)) + -1.75 * (Z(5) @ Z(4)) + -0.25 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @... | 6 | 11 | 3 | {"smallest_eigenvalues": [-30.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -29.75, "smallest_bitstrings": ["11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0004) q[0];
rz(0.1709) q[0];
rx(-0.0036) q[1];
rz(0.2275) q[1];
rx(0.3003) q[2];
rz(-0.0002) q[2];
rx(-0.0011) q[3];
rz(0.2403) q[3];
rx(-0.0045) q[4];
rz(0.2339) q[4];
rx(-0.005) q[5];
rz(0.2346) q[5];
rx(-0.0027) q[6];
rz(0.2331) q[6];
rx(-0.0004) q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
732c260e1c0902cbe3cb22d766daa7cc | max_flow | qaoa | {"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": [28, 44], "expectation_value": -6.651787933140769, "params": [[0.0811, -0.12490000000000001, -0.1441, -0.0497], [-0.126, 0.0877, 0.134, 0.1296]], "bitstrings": ["1111100011", "1111010011"], "total_optimization_steps": 20, "probabilities": [0.0077626785229324945, 0.0077626785229324945], "optimization_time": 4... | -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 | 4 | {"smallest_eigenvalues": [-10.333333333333332, -10.333333333333332, -10.333333333333332, -10.333333333333332], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -9.666666666666668, "smallest_bitstrings": ["1111100011", "1111010011", "1111001010", "1111001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[2], q[0];
rz(-0.0811) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.1622) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.1081) q[1];
cx q[0], q[1];
cx q[2], q[3];
rz(0.0811) q[3];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
00c47f772e828bc0d4453cbe4002ef93 | kclique | 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": 5}, ... | {"states": [21, 7], "expectation_value": -12.59364044578392, "params": null, "bitstrings": ["1101010", "1111000"], "total_optimization_steps": 63, "probabilities": [0.10610002632784891, 0.6139460215007818], "optimization_time": 118.62930607795715} | 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(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 *... | 11 | 7 | 3 | {"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;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5577) q[1];
cry(-1.5708) q[6], q[3];
ry(0.8469) q[6];
cry(-1.5708) q[5], q[2];
cry(-1.5707) q[4], q[0];
ry(1.1096) q[4];
ry(-0.4548) q[0];
ry(0.8206) q[5];
ry(-0.3832) q[3];
ry(-0.335) q[2];
cry(0.4... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5577) 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", ... |
4f9c1bb9cc86662913da6ad2a3367139 | 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": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [880, 1009], "expectation_value": -13.407701242997225, "params": null, "bitstrings": ["0010001111", "0000001110"], "total_optimization_steps": 100, "probabilities": [0.1256472089171544, 0.482432986438783], "optimization_time": 183.8311984539032} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(5) @ Z(1)) + -2.0 * (Z(5) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 1.0 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(8)) + -1.5 * (Z(6) @ Z(8)) + -1.0 * (Z(9) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) +... | 5 | 10 | 1 | {"smallest_eigenvalues": [-21.0, -21.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -20.0, "smallest_bitstrings": ["0000000100", "0000001110"]} | 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];
cry(1.5708) q[5], q[1];
cry(1.5709) q[1], q[3];
cry(0.7959) q[3], q[5];
cry(1.5707) q[3], q[4];
cry(1.5708) q[1], q[0];
cry(-0.9704) q[0], q[1];
ry(0.8929) q[1];
cry(-0.462) q[3]... | 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];\ncry(1.5708) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... |
1536b63d241483fb5dc02588be4ba19b | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [41, 14], "expectation_value": -0.757407549262521, "params": [[0.0762, 0.07930000000000001], [-0.06620000000000001, -0.0729]], "bitstrings": ["1010110", "1110001"], "total_optimization_steps": 10, "probabilities": [0.01139710626207321, 0.011967779642921027], "optimization_time": 3.2317795753479004} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(3) + -0.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -2.0 * Z(2) + -0.5 * 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": ["0011110", "1010101", "0011101", "1010110", "1110001"]} | 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(0.0762) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(0.0762) q[4];
cx q[0], q[4];
cx q[4], q[1];
rz(0.0762) q[1];
cx q[4], q[1];
cx q[3], q[2];
rz(0.0762) q[2];
cx q[3], q[2];
cx q[4], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
fa12f3a697c97a90a7d75ad197dde7b9 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 5}]} | {"states": [34, 42], "expectation_value": -0.10348576666522667, "params": [[0.0031000000000000003, -0.060700000000000004, -0.031200000000000002], [-0.0695, 0.0596, 0.0482]], "bitstrings": ["011101", "010101"], "total_optimization_steps": 10, "probabilities": [0.017128100882690265, 0.018633672506394614], "optimization_t... | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(2) @ Z(4)) + 0.0 * Z(0) + 0.0 * Z... | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(0.0016) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(0.0016) q[0];
cx q[1], q[0];
cx q[2], q[1];
rz(0.0016) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.0016) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} |
d6ca78958a015bca449989b3cc828628 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [23, 71], "expectation_value": -0.5396651997276531, "params": [[0.054900000000000004, 0.046200000000000005, -0.0008], [-0.0563, -0.046200000000000005, -0.0183]], "bitstrings": ["1101000", "0111000"], "total_optimization_steps": 10, "probabilities": [0.010179241451758188, 0.010179241451758188], "optimization_... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -2.0 * Z(3) + 0.0 * Z(4) + -0.5 * Z(6) + 0.0 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1101000", "0111000"]} | 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(0.0549) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0549) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0549) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0549) q[3];
cx q[1], q[3];
cx q[0], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} |
32c52c2bcf66ad7577bb97e9bc339d3a | 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": 2}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": ... | {"states": [2048, 2047], "expectation_value": -29.078234022163066, "params": [[[0.0001, -0.030100000000000002], [-0.0033, -0.2034], [-0.0001, -0.003], [0.0013000000000000002, -0.0028], [0.0007, -0.0031000000000000003], [0.0001, -0.0031000000000000003], [0.0001, -0.0031000000000000003], [0.0015, -0.0027], [-0.0035, -0.0... | -0.5 * (Z(0) @ Z(4)) + -1.5 * (Z(9) @ Z(4)) + -0.75 * (Z(9) @ Z(0)) + 1.5 * (Z(3) @ Z(0)) + -1.25 * (Z(3) @ Z(9)) + -1.25 * (Z(1) @ Z(4)) + -1.25 * (Z(1) @ Z(9)) + -1.5 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(1)) + -1.25 * (Z(6) @ Z(1)) + -0.25 * (Z(7) @ Z(9)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(8) @... | 15 | 12 | 2 | {"smallest_eigenvalues": [-29.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.75, "smallest_bitstrings": ["100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0001) q[0];
ry(-0.0033) q[1];
ry(-0.0001) q[2];
ry(0.0013) q[3];
ry(0.0007) q[4];
ry(0.0001) q[5];
ry(0.0001) q[6];
ry(0.0015) q[7];
ry(-0.0035) q[8];
ry(-0.0026) q[9];
ry(-0.0425) q[10];
ry(1.8157) 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": []} |
2931eeac6a3d17978d71e9eb6a3fb9d7 | 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": [63, 55], "expectation_value": -48.34500292867252, "params": [0.6774, 0.0078000000000000005, 0.7569, 0.0005, 2.7046, 0.0099, 2.6987, 0.0068000000000000005, 1.4912, 0.007500000000000001, 2.7076000000000002, 0.0055000000000000005, 2.694, 0.0022, 2.6972, 0.0057, 0.0045000000000000005, 0.0097, 0.0068000000000000... | 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(0) @ Z(3)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(0)) + 10.5 * Z(2) + 1.5 * Z(1) + 15.0 * Z(3) + 1.0 * Z(0) + 7.5 * Z(4) + 6.5 * Z(5) + 13.5 * Z(6) + 8.0 * ... | 18 | 8 | 1 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["11001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.6774) q[0];
rz(0.0078) q[0];
rx(0.7569) q[1];
rz(0.0005) q[1];
rx(2.7046) q[2];
rz(0.0099) q[2];
rx(2.6987) q[3];
rz(0.0068) q[3];
rx(1.4912) q[4];
rz(0.0075) q[4];
rx(2.7076) q[5];
rz(0.0055) q[5];
rx(2.694) q[6];
rz(0.0022) q[6];
rx(2.6972) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8]}"} | {"circuits": [], "gradients": []} |
305451fe42c8e99c594080bbfd8c69fa | 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": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, ... | {"states": [3, 35], "expectation_value": -2.8437321462295717, "params": [0.0838, 0.017400000000000002, 0.0683, 0.011600000000000001, 0.2073, -0.0009000000000000001, 0.1985, -0.0012000000000000001, 0.19870000000000002, -0.0025, 0.1962, -0.0022, 0.18460000000000001, 0.0002, 0.17930000000000001, 0.0006000000000000001, 0.0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(3) + -1.0 * Z(0) + -0.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(1) + -0.5 * Z(2) + -1.0 * Z(4) | 6 | 7 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["1011100", "0011011", "0101011", "1110100", "1101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0838) q[0];
rz(0.0174) q[0];
rx(0.2073) q[1];
rz(-0.0009) q[1];
rx(0.1987) q[2];
rz(-0.0025) q[2];
rx(0.1846) q[3];
rz(0.0002) q[3];
rx(0.0884) q[4];
rz(0.0144) q[4];
rx(0.2013) q[5];
rz(0.0017) q[5];
rx(0.2032) q[6];
rz(0.0013) q[6];
crx(-0.0774) q[6], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
21c8a0e02357d1dbfa852bca1cebf8a1 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [121, 89], "expectation_value": -4.06561424709243, "params": [0.7015, 0.0145, 1.0011, -0.010700000000000001, 0.7933, 0.16770000000000002, 1.0008000000000001, -0.0115, 1.0047000000000001, 0.0031000000000000003, 0.0032, -0.49870000000000003, 0.0627, 0.4965, 1.0025, 0.0006000000000000001, 0.7099000000000001, -0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -1.5 * Z(5) + -1.0 * Z(6) + -0.5 * Z(4) + -0.5 * Z(3) + 0.... | 4 | 8 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["10100110", "01100110", "10001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.7015) q[0];
rz(0.0145) q[0];
rx(1.0011) q[1];
rz(-0.0107) q[1];
rx(0.7933) q[2];
rz(0.1677) q[2];
rx(1.0008) q[3];
rz(-0.0115) q[3];
rx(1.0047) q[4];
rz(0.0031) q[4];
rx(0.0032) q[5];
rz(-0.4987) q[5];
rx(0.0627) q[6];
rz(0.4965) q[6];
rx(1.0025) 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": []} |
8f21ecaec272429f1bdc72f298b44a30 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 6, "source": 1, "target": 3}, {"capacity": 5, "so... | {"states": [30, 15], "expectation_value": -5.999841998650886, "params": [[1.5683, -0.0028, 0.9401, 0.0025, -0.0049], [2.4788, 1.2056, 1.5683, 0.9369000000000001, -0.0026000000000000003], [0.0049, 0.0024000000000000002, 1.5682, -0.0028, 1.5684]], "bitstrings": ["00001", "10000"], "total_optimization_steps": 420, "probab... | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(0)) + 1.75 * (Z(4) @ Z(0)) + -1.75 * (Z(4) @ Z(3)) + -2.75 * (Z(2) @ Z(3)) + 1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.0 * Z(4) + -0.25 * Z(2) | 9 | 5 | 3 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.75, "smallest_bitstrings": ["10000"]} | 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];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(1.5683) q[0];
rx(-0.0028) q[1];
rx(0.9401) q[2];
rx(0.0025) q[3];
rx(-0.0049) q[4];
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cz q[4], q[3];
cz q[3], q[2];
cz ... | OPENQASM 3.0;
include "stdgates.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[5] c;
qubit[5] ... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
5938953855787911746 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[3, 4, 5, 8, 10], [0, 3], [1, 9], [2, 3], [11, 6], [5, 7]]} | {"states": [1303, 3816], "expectation_value": -1.9270997472894456, "params": [[[1.5733000000000001, -0.3184], [1.5741, 1.5737], [-0.0594, 1.5738], [0.8216, 2.3251], [-1.1004, 2.04], [1.1261, 0.9278000000000001], [-1.5914000000000001, 1.5901], [1.5733000000000001, 1.5732000000000002], [1.5682, 0.0826], [1.57300000000000... | 0.05 * (Z(3) @ Z(4)) + 0.05 * (Z(5) @ Z(4)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(8) @ Z(4)) + 0.05 * (Z(8) @ Z(3)) + 0.05 * (Z(8) @ Z(5)) + 0.05 * (Z(10) @ Z(4)) + 0.05 * (Z(10) @ Z(3)) + 0.05 * (Z(10) @ Z(5)) + 0.05 * (Z(10) @ Z(8)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(11) @ Z(6))... | 15 | 12 | 1 | {"smallest_eigenvalues": [-2.7000000000000006, -2.7000000000000006, -2.7000000000000006, -2.7000000000000006, -2.7000000000000006, -2.7000000000000006, -2.7000000000000006, -2.7000000000000006, -2.7000000000000006, -2.7000000000000006, -2.7000000000000006, -2.7000000000000006, -2.7000000000000006, -2.7000000000000006, ... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.5733) q[0];
ry(1.5741) q[1];
ry(-0.0594) q[2];
ry(0.8216) q[3];
ry(-1.1004) q[4];
ry(1.1261) q[5];
ry(-1.5914) q[6];
ry(1.5733) q[7];
ry(1.5682) q[8];
ry(1.573) q[9];
ry(1.5729) q[10];
ry(1.5733) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
6324445497124301652 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 2, 3, 4, 5, 7, 8], [0, 9, 2, 5], [8, 6], [1, 2, 4, 7, 8, 9, 12], [10, 12], [11, 6]]} | {"states": [3771, 1723], "expectation_value": -2.080274478402219, "params": [[[0.12710000000000002, 0.0067, 0.0044, 0.0029000000000000002], [-0.5972000000000001, 0.0017000000000000001, 0.9752000000000001, 0.0043], [2.9003, 0.0005, 0.0078000000000000005, 0.0047], [0.0026000000000000003, -0.30920000000000003, 1.5683, 0.0... | 0.10714285714285714 * (Z(0) @ Z(2)) + 0.023809523809523808 * (Z(3) @ Z(2)) + 0.023809523809523808 * (Z(3) @ Z(0)) + 0.047619047619047616 * (Z(4) @ Z(2)) + 0.023809523809523808 * (Z(4) @ Z(0)) + 0.023809523809523808 * (Z(4) @ Z(3)) + 0.10714285714285714 * (Z(5) @ Z(2)) + 0.10714285714285714 * (Z(5) @ Z(0)) + 0.023809523... | 12 | 13 | 1 | {"smallest_eigenvalues": [-2.1309523809523814, -2.1309523809523814, -2.1309523809523814, -2.1309523809523814, -2.1309523809523814, -2.1309523809523814, -2.1309523809523814, -2.1309523809523814, -2.1309523809523814, -2.1309523809523814, -2.1309523809523814, -2.1309523809523814, -2.1309523809523814, -2.1309523809523814, ... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.1271) q[0];
rz(0.0067) q[0];
ry(-0.5972) q[1];
rz(0.0017) q[1];
ry(2.9003) q[2];
rz(0.0005) q[2];
ry(0.0026) q[3];
rz(-0.3092) q[3];
ry(-0.0023) q[4];
rz(0.0032) q[4];
ry(0.9224) q[5];
rz(-0.0027) q[5];
ry(0.0029) q[6];
rz(0.002) q[6];
ry(0.703) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
cee21d2c524e6fc138e70d6d9e27345e | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 6, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 2}]} | {"states": [250, 239], "expectation_value": -12.024010549435326, "params": null, "bitstrings": ["100000101", "100010000"], "total_optimization_steps": 100, "probabilities": [0.14247663162315644, 0.539232571404101], "optimization_time": 307.3117787837982} | 2.0 * (Z(1) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(1)) + 1.0 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 1.0 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 1.0 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["100010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(0.4397) q[2];
cry(0.7951) q[6], q[2];
cry(0.5504) q[5], q[2];
cry(1.382) q[8], q[6];
ry(1.5708) q[1];
cry(1.2175) q[6], q[8];
cry(1.4411) q[7], q[5];
cry(-0.6101) q[1], q[2];
cry(0.3105... | null | {"source": 0, "sink": 4} | {"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(0.4397) 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] = m... |
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": -0.13171734349695324, "params": [[-0.07100000000000001], [0.0679]], "bitstrings": ["100110", "000111"], "total_optimization_steps": 10, "probabilities": [0.017163964947242025, 0.017446266662686595], "optimization_time": 1.5118529796600342} | 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 | 1 | {"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(-0.071) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(-0.071) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(-0.071) q[5];
cx q[0], q[5];
cx q[4], q[5];
rz(-0.071) q[5];
cx q[4], q[5];
cx q[3], q[1];
rz(-0.071... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(x0) q[5]... | null | {"circuits": [], "gradients": []} |
833c89e8aca800e5707fb47ea63f9088 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [43, 46], "expectation_value": -3.499883694175416, "params": null, "bitstrings": ["010100", "010001"], "total_optimization_steps": 23, "probabilities": [1.6349291399876233e-05, 0.9999151802438232], "optimization_time": 16.548574447631836} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[1];
ry(-1.4449) q[5];
ry(1.4449) q[4];
ry(1.4449) q[0];
ry(1.4417) q[2];
ry(1.4417) q[3];
cry(-0.1259) q[3], q[5];
cry(0.1217) q[0], q[2];
cry(0.1216) q[2], q[3];
cry(0.1188) q[2], q[4];
cry(0.1186)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) 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... |
87ba346715d7ffd469182fcb7e9830c2 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6... | {"states": [19, 17], "expectation_value": -16.023942414274988, "params": null, "bitstrings": ["1101100", "1101110"], "total_optimization_steps": 38, "probabilities": [0.42315890257289124, 0.5338802164598142], "optimization_time": 38.37204575538635} | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + 2.25 * (Z(6) @ Z(0)) + -1.75 * (Z(6) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -2.75 * Z(1) + -0.25 * Z(0) + 4.0 * Z(2) + 1.75 * Z(4) + 0.5 * Z(6) + -1.75 * Z(3) + -1... | 1 | 7 | 1 | {"smallest_eigenvalues": [-16.5, -16.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.5, "smallest_bitstrings": ["1101100", "1101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.2796) q[2];
cry(1.5708) q[2], q[6];
cry(-1.5708) q[6], q[0];
ry(-1.5708) q[1];
ry(-0.9755) q[3];
cry(-0.0456) q[6], q[3];
cry(-0.0561) q[2], q[3];
ry(-1.5707) q[4];
cry(-0.4949) q[5], q[3];
cry(0.056... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.2796) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
2cf6224a7b786ab8607e7cc5dbc62158 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 6... | {"states": [3, 43], "expectation_value": -0.24571092500062516, "params": [[0.0632], [-0.050800000000000005]], "bitstrings": ["1111100", "1010100"], "total_optimization_steps": 10, "probabilities": [0.009310774268311183, 0.009465756989631724], "optimization_time": 1.444387435913086} | -1.0 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -1.25 * (Z(1) @ Z(3)) + 2.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -0.75 * Z(2) + -0.25 * Z(0) + -0.75 * Z(4) + 0.5 * Z(3) + -0.25 * Z(1) + 0.5 * Z(6) + 1.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-9.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.75, "smallest_bitstrings": ["1010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.1264) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(-0.0948) q[4];
cx q[0], q[4];
cx q[2], q[3];
rz(-0.0316) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(-0.158) q[1];
cx q[3], q[1];
cx q[0], q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
b2987b745cb916df3f5a63553d1bb231 | 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": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 4... | {"states": [1496, 1492], "expectation_value": -7.560505119197617, "params": [-0.6716000000000001, -0.467, 0.4772, 0.47200000000000003, 0.6879000000000001, 0.6946, 0.6853, 0.6920000000000001, 0.6853, 0.6880000000000001, 0.4189, 0.35100000000000003, 0.6953, 0.6894, 0.6843, 0.5743, 0.406, 0.4035, -0.005200000000000001, -0... | 1.0 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -1.0 * (Z(10) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(10)) + 0.5 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(10)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2... | 14 | 11 | 2 | {"smallest_eigenvalues": [-8.666666666666668, -8.666666666666668, -8.666666666666668, -8.666666666666668], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.666666666666666, "smallest_bitstrings": ["01000100111", "01000101011", "10000101011", "10000100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.6716) q[0];
ry(0.4772) q[1];
ry(0.6879) q[2];
ry(0.6853) q[3];
ry(0.6853) q[4];
ry(0.4189) q[5];
ry(0.6953) q[6];
ry(0.6843) q[7];
ry(0.406) q[8];
ry(-0.0052) q[9];
ry(0.0003) q[10];
crx(-0.2847) q[10], q[0];
crx(-0.3699) q[9], q[10];
crx(-0.0005) 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": 6} | {"circuits": [], "gradients": []} |
5575b19e97d5a5b0b45755000e82f544 | 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": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 1, "s... | {"states": [374, 119], "expectation_value": -13.414262415723794, "params": null, "bitstrings": ["010001001", "110001000"], "total_optimization_steps": 89, "probabilities": [0.1463946274555705, 0.8073519033383842], "optimization_time": 155.32616567611694} | -0.75 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(7) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(7)) + -0.75 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(7)) + -0.5 * (Z(4) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-14.0, -14.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.0, "smallest_bitstrings": ["110001100", "110001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-1.5708) q[5];
ry(-1.5708) q[1];
ry(1.5706) q[4];
cry(1.5706) q[4], q[3];
cry(-1.5706) q[8], q[0];
ry(1.1695) q[8];
cry(-0.5897) q[4], q[0];
ry(1.5681) q[2];
cry(1.5708) q[3], q[7];
cry... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... |
9b6c90aee56ab84919f7c826e678a024 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 4}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 2, "target": 1}, {"source": 2, "target": 4}, {"source": 1, "target": 4}, {"source": 4, "target": 3}]} | {"states": [23475, 14190], "expectation_value": -5.411584654589504, "params": [[-0.28700000000000003], [0.2778]], "bitstrings": ["010010001001100", "100100010010001"], "total_optimization_steps": 30, "probabilities": [0.0005380242603444183, 0.0005380242603444183], "optimization_time": 544.1017532348633} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 9 | 15 | 1 | {"smallest_eigenvalues": [-9.499999999999982], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.499999999999927, "smallest_bitstrings": ["100100010010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
cx q[1], q[0];
rz(-0.287) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.287) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.287) q[2];
cx q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[15] c;
qubit[15] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h ... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
685055bd53f01c347f7f2a1d5c7df105 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, ... | {"states": [85, 101], "expectation_value": -0.1025831379963273, "params": [[-0.06420000000000001], [0.06520000000000001]], "bitstrings": ["0101010", "0011010"], "total_optimization_steps": 10, "probabilities": [0.008673077047012652, 0.008673077047012655], "optimization_time": 1.284153699874878} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(5) + 0.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(1) + -1.0 * Z(3) + -0.5 * Z(6) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["0101010", "0011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[0];
rz(-0.0642) q[0];
cx q[5], q[0];
cx q[2], q[1];
rz(-0.0642) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.0642) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.0642) q[3];
cx q[1], q[3];
cx q[5], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(... | null | {"circuits": [], "gradients": []} |
833c89e8aca800e5707fb47ea63f9088 | 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": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [28, 46], "expectation_value": -0.5829121568546798, "params": [[0.057300000000000004, 0.064, 0.07200000000000001, 0.08070000000000001], [-0.029, -0.048600000000000004, -0.058600000000000006, -0.0717]], "bitstrings": ["100011", "010001"], "total_optimization_steps": 10, "probabilities": [0.02712945026395538, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0573) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.0573) q[4];
cx q[1], q[4];
cx q[1], q[5];
rz(0.0573) q[5];
cx q[1], q[5];
cx q[5], q[2];
rz(0.0573) q[2];
cx q[5], q[2];
cx q[5], q[3];
rz(0.0573... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} |
d2601bbf36e7658df88520110518167a | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": []} | {"states": [47087, 47085], "expectation_value": -15.07321496200757, "params": [1.5703, 1.5661, -0.002, -0.002, -1.5699, -1.5914000000000001, 1.5704, 1.5663, 0.0024000000000000002, 0.0024000000000000002, 1.5758, 1.5704, 1.5697, 1.5679, 1.5772000000000002, 1.5693000000000001, 1.5738, 1.5731000000000002, 1.577300000000000... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) ... | 13 | 16 | 1 | {"smallest_eigenvalues": [-15.999999999999988], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.999999999999956, "smallest_bitstrings": ["0100100000010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(1.5703) q[0];
ry(-0.002) q[1];
ry(-1.5699) q[2];
ry(1.5704) q[3];
ry(0.0024) q[4];
ry(1.5758) q[5];
ry(1.5697) q[6];
ry(1.5772) q[7];
ry(1.5738) q[8];
ry(1.5773) q[9];
ry(1.5739) q[10];
ry(-0.012) q[11];
ry(1.6742) q[12];
ry(1.8998) q[13];
ry(0.765) q[14]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 1}, {"id": 3}, {"id": 0}], "edges": []}} | {"circuits": [], "gradients": []} |
9b4be5d748a292e481722f1ef8f75020 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 3}]} | {"states": [45, 13], "expectation_value": -4.114142870367838, "params": [[-0.1231, -0.0891, -0.09860000000000001, -0.059800000000000006], [0.169, 0.139, 0.1421, 0.1051]], "bitstrings": ["11010010", "11110010"], "total_optimization_steps": 20, "probabilities": [0.02791129211215112, 0.04455750542833917], "optimization_ti... | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + 0.4 * (Z(1) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 1.0 * (Z(6) @ Z(4)) + -1.0 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 1.0 ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-6.6000000000000005, -6.6000000000000005], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.999999999999999, "smallest_bitstrings": ["11110010", "11110101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(0.1231) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(0.1231) q[1];
cx q[4], q[1];
cx q[0], q[1];
rz(-0.0985) q[1];
cx q[0], q[1];
cx q[4], q[5];
rz(-0.1231) q[5];
cx q[4], q[5];
cx q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
-5028302506184273319 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 6], [0, 5], [1, 2], [1, 3], [4, 5]]} | {"states": [100, 93], "expectation_value": -2.15908664148054, "params": null, "bitstrings": ["0011011", "0100010"], "total_optimization_steps": 46, "probabilities": [0.05013694831055299, 0.6966268409084692], "optimization_time": 45.231693267822266} | 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["0100010", "1011101", "1100100", "0011011"]} | 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[1];
cry(-1.0342) q[4], q[5];
ry(0.7003) q[6];
cry(-0.7092) q[3], q[1];
cry(1.1516) q[6], q[3];
cry(1.2546) q[3], q[2];
cry(-0.4071) q[2], q[1];
cry(0.5798) q[3], q[6];
ry(0.7003) 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(-1.0342) q[6], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
6d7e5c7b3f86be8f7eca13c50e6c3de8 | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [85, 117], "expectation_value": -3.507516404234888, "params": [0.0027, 0.0037, 0.034300000000000004, 0.0375, 0.5334, 0.5354, 0.33280000000000004, 0.3284, 0.5302, 0.5219, 0.0061, 0.0022, 0.5236000000000001, 0.526, 0.031200000000000002, 0.0308, 0.5288, 0.5259, -0.0, 0.0033, 0.035500000000000004, 0.0409, 0.5307... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(1) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(1) @ Z(6) @ Z(7)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(8) @ Z(0)) ... | 13 | 9 | 3 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.8125, "smallest_bitstrings": ["101001010", "110001010", "110001001", "100101010", "110101000", "100101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0027) q[0];
ry(0.0343) q[1];
ry(0.5334) q[2];
ry(0.3328) q[3];
ry(0.5302) q[4];
ry(0.0061) q[5];
ry(0.5236) q[6];
ry(0.0312) q[7];
ry(0.5288) q[8];
crz(0.0251) q[8], q[0];
crz(0.3039) q[7], q[8];
crz(-0.0011) q[6], q[7];
crz(0.3591) q[5], q[6];
crz(-0.005... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input ... | null | {"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": [45, 41], "expectation_value": -4.531069002929013, "params": [0.3017, 0.30660000000000004, 0.0025, 0.0059, 0.3052, 0.3055, 0.0993, 0.1039, 0.0035, 0.0028, 0.2967, 0.2904, 0.3007, 0.3043, 0.00030000000000000003, 0.0039000000000000003, 0.3025, 0.29960000000000003, 0.0974, 0.10010000000000001, 0.004200000000000... | 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) | 14 | 6 | 4 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["010110", "010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(0.3017) q[0];
ry(0.0025) q[1];
ry(0.3052) q[2];
ry(0.0993) q[3];
ry(0.0035) q[4];
ry(0.2967) q[5];
crx(0.2925) q[5], q[0];
crx(-0.0758) q[4], q[5];
crx(-0.0183) q[3], q[4];
crx(-0.0259) q[2], q[3];
crx(0.1965) q[1], q[2];
crx(-0.016) q[0], q[1];
ry(0.3066) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
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