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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
6504070776410965735 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 3, 7], [2, 10, 4], [1, 4], [8, 4], [8, 1, 2], [11, 4], [0, 8, 2], [0, 8, 6], [8, 2, 10], [10, 3], [2, 7], [9, 4], [11, 5, 6], [1, 3], [0, 10, 11], [2, 6], [1, 5], [10, 11, 6], [4, 7], [2, 4, 5], [1, 11, 9], [0, 11, 7], [0, 5], [8, 1, 6], [8, 3, 5], [1... | {"states": [4088, 2552], "expectation_value": -4.747261553981601, "params": [1.8016, 0.0025, 1.1859, 0.6049, 0.9678, -0.6559, 1.7847000000000002, 0.0028, 1.7986, -0.0026000000000000003, 1.7897, -0.0029000000000000002, 1.8046, 0.0182, 1.79, -0.2034, 1.8049000000000002, 0.6783, 0.7154, -0.6255000000000001, 0.7497, 0.5903... | 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(9) @ Z(5)) + 0.3333333333333333 * (Z(9) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(9)) + 0.3333333333333333 * (Z(2) @ Z(4)) + 0.5 * (Z(6) ... | 4 | 12 | 1 | {"smallest_eigenvalues": [-8.666666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.999999999999997, "smallest_bitstrings": ["011000000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.8016) q[0];
rz(0.0025) q[0];
rx(1.1859) q[1];
rz(0.6049) q[1];
rx(0.9678) q[2];
rz(-0.6559) q[2];
rx(1.7847) q[3];
rz(0.0028) q[3];
rx(1.7986) q[4];
rz(-0.0026) q[4];
rx(1.7897) q[5];
rz(-0.0029) q[5];
rx(1.8046) q[6];
rz(0.0182) q[6];
rx(1.79) 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": []} |
54a88e4bf9eba50970f4f6239c6ad816 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 1, "s... | {"states": [111, 255], "expectation_value": -0.16696180296584823, "params": [[0.059500000000000004], [-0.054400000000000004]], "bitstrings": ["110010000", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0022521377432261347, 0.002278392274951797], "optimization_time": 2.7303547859191895} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.25 * (Z(3) @ Z(7)) + -0.25 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(3)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(3)) + -0.25 * (Z(8) @ Z(5)) + -0.25 * (Z(6) @ Z(1)) + -0.25 * (Z(6... | 1 | 9 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000000", "110010000", "111011110", "100010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.0595) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(-0.0893) q[4];
cx q[1], q[4];
cx q[1], q[7];
rz(-0.0595) q[7];
cx q[1], q[7];
cx q[1], q[2];
rz(-0.0298) q[2];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1],... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
bc66253cf8720682f4eebbf8e558ad61 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [9, 1], "expectation_value": -2.237866095037985, "params": [[0.0553, 0.0489, 0.042100000000000005, 0.0244], [-0.057100000000000005, -0.0473, -0.039, -0.0292]], "bitstrings": ["110110", "111110"], "total_optimization_steps": 10, "probabilities": [0.034108663449739396, 0.03490863381468987], "optimization_time"... | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -1.25 * Z(1) + -0.25 * Z(0) + -2.25 * Z(3) + 0.75 * Z(2) + 1.5 * Z(5) + 1.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-10.25, -10.25, -10.25, -10.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.25, "smallest_bitstrings": ["111110", "111100", "110100", "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];
cx q[1], q[0];
rz(-0.1383) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.1383) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.1106) q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(-0.0829) q[2];
cx q[1], q[2];
cx q[0], q[5];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
ed01866ce53def5a36a69737a2fd120b | 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": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [64, 67], "expectation_value": -3.677012911706055, "params": [-0.004200000000000001, 0.33290000000000003, 0.49620000000000003, 0.0026000000000000003, -0.0031000000000000003, 0.39490000000000003, -0.0032, 0.35910000000000003, -0.0018000000000000002, 0.37170000000000003, 0.0001, 0.3125, 0.29600000000000004, -0... | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(7)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.25 ... | 4 | 8 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["10000100", "10001100", "10011100", "10111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0042) q[0];
rz(0.3329) q[0];
rx(0.4962) q[1];
rz(0.0026) q[1];
rx(-0.0031) q[2];
rz(0.3949) q[2];
rx(-0.0032) q[3];
rz(0.3591) q[3];
rx(-0.0018) q[4];
rz(0.3717) q[4];
rx(0.0001) q[5];
rz(0.3125) q[5];
rx(0.296) q[6];
rz(-0.0013) q[6];
rx(0.5056) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
b5e7e2797d8b3a448650a56d35ed7f4a | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 3, "source": 2, ... | {"states": [3, 1], "expectation_value": -12.249999933331463, "params": null, "bitstrings": ["11111100", "11111110"], "total_optimization_steps": 22, "probabilities": [8.327887109606272e-09, 0.999999991661056], "optimization_time": 16.41715359687805} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -2.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -1.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + -0.75 * Z(6) + -0.75... | 1 | 8 | 3 | {"smallest_eigenvalues": [-12.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[7];
ry(-1.5708) q[0];
ry(-1.5706) q[6];
ry(-1.5708) q[2];
ry(-1.5708) q[4];
ry(-1.5708) q[1];
ry(-1.5486) q[5];
ry(-1.5681) q[3];
cry(-0.0222) q[7], q[5];
cry(-0.0027) q[7], q[3];
c[0... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
0ae9b6f2b61290137ab22e2dafb0c164 | hamiltonian_path | 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": [171, 427], "expectation_value": -4.110489175504899, "params": [[[1.6224, 0.0039000000000000003, 0.008400000000000001, 0.0034000000000000002], [0.3408, 0.0034000000000000002, 1.5185000000000002, 0.0014], [-0.003, 0.0047, 0.008, 0.005200000000000001], [0.7058, -0.0025, 1.2139, 0.0054], [0.0025, 0.0011, 0.0047... | 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) ... | 12 | 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": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(1.6224) q[0];
rz(0.0039) q[0];
ry(0.3408) q[1];
rz(0.0034) q[1];
ry(-0.003) q[2];
rz(0.0047) q[2];
ry(0.7058) q[3];
rz(-0.0025) q[3];
ry(0.0025) q[4];
rz(0.0011) q[4];
ry(1.0461) q[5];
rz(-0.0024) q[5];
ry(0.1914) q[6];
rz(0.0022) q[6];
ry(0.4113) 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[... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} |
c5d2a0621e9dcecb65eadc5509d4551e | 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": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 6... | {"states": [1582, 1710], "expectation_value": -12.625251258556327, "params": [0.1933, -0.5680000000000001, 0.1917, 0.009600000000000001, 0.0025, -1.016, 0.0024000000000000002, 0.0, 1.3960000000000001, 0.0323, 1.3979000000000001, 0.0012000000000000001, 1.4049, 0.0279, 1.4034, 0.0009000000000000001, 0.0109, -0.6264000000... | -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + 1.0 * (Z(3) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(4) @ Z(7)) + -0.5... | 5 | 13 | 1 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -13.0, "smallest_bitstrings": ["1100110100001", "1100001000101", "1000100100001", "1100110010001", "1100101010001", "1000100010001", "1100010000011... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(0.1933) q[0];
rz(-0.568) q[0];
rx(0.0025) q[1];
rz(-1.016) q[1];
rx(1.396) q[2];
rz(0.0323) q[2];
rx(1.4049) q[3];
rz(0.0279) q[3];
rx(0.0109) q[4];
rz(-0.6264) q[4];
rx(1.2391) q[5];
rz(0.1744) q[5];
rx(1.1911) q[6];
rz(0.5376) q[6];
rx(1.3957) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
b4844a241e7c75ea7eb690acd3c4c004 | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 2}, {"weight": 7, "source": 1, "target": 2}]} | {"states": [1, 0], "expectation_value": -0.9999963636222439, "params": null, "bitstrings": ["0", "1"], "total_optimization_steps": 2, "probabilities": [1.8181888780401846e-06, 0.9999981818111219], "optimization_time": 0.16637754440307617} | -1.0 * Z(0) | 5 | 1 | 3 | {"smallest_eigenvalues": [-1.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": 1.0, "smallest_bitstrings": ["1"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[1] c;
qubit[1] q;
h q[0];
ry(-1.5681) q[0];
c[0] = measure q[0]; | null | {"start_node": 0, "end_node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[1] c;\nqubit[1] q;\nh q[0];\nry(-1.5681) q[0];\nc[0] = measure q[0];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[1] c;\nqubit[1] q;\nh q[0];\nry(-1.5681) q[0];\nc[0] = measure q[0];\n"], "gradients": [1.0, 0.001]} |
f438dd84874324e8039dc4edeb3bf57b | min_cut | 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": 4}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [5, 29], "expectation_value": -7.4671867379307, "params": null, "bitstrings": ["111010", "100010"], "total_optimization_steps": 41, "probabilities": [0.06911670361740486, 0.8393954505033191], "optimization_time": 36.77919554710388} | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + 0.0 * Z(2) + -1.5 * Z(5) + 1.5 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["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];
cry(1.5708) q[2], q[1];
ry(1.5708) q[3];
cry(1.0097) q[3], q[2];
ry(0.5186) q[1];
cry(0.4501) q[1], q[2];
cry(1.5599) q[1], q[5];
cry(-1.5702) q[5], q[0];
ry(-1.5499) q[4];
cry(-0.0881) q[3], q[5];
cry(0.0958) q[... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5708) q[2], 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 \... |
fcba12f78dbb04a944afdfe31d032329 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, ... | {"states": [1, 65], "expectation_value": -6.8338579846604866, "params": [[[0.0032, 0.0], [1.5907, 0.0041], [0.0026000000000000003, 0.003], [0.0027, 0.0012000000000000001], [-0.0027, 0.0041], [0.0023, 0.0034000000000000002], [0.0027, 0.0041], [1.6058000000000001, 0.004]]], "bitstrings": ["11111110", "10111110"], "total_... | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["10111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0032) q[0];
rz(0) q[0];
rx(1.5907) q[1];
rz(0.0041) q[1];
rx(0.0026) q[2];
rz(0.003) q[2];
rx(0.0027) q[3];
rz(0.0012) q[3];
rx(-0.0027) q[4];
rz(0.0041) q[4];
rx(0.0023) q[5];
rz(0.0034) q[5];
rx(0.0027) q[6];
rz(0.0041) q[6];
rx(1.6058) q[7];
rz(0.004) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
ed46de376d1660326c9e503ea9950a07 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [1, 3], "expectation_value": -26.58677761162196, "params": [0.0618, 0.2589, 0.054900000000000004, 0.28250000000000003, 0.0017000000000000001, 0.2738, 0.0596, 0.2849, 0.058100000000000006, 0.2841, 0.4897, 0.1531, 0.4894, 0.1527, 0.0536, 0.2589, 0.0534, 0.28200000000000003, 0.0054, 0.27790000000000004, 0.0575,... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 3 | 7 | 4 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0618) q[0];
rz(0.2589) q[0];
rx(0.0549) q[1];
rz(0.2825) q[1];
rx(0.0017) q[2];
rz(0.2738) q[2];
rx(0.0596) q[3];
rz(0.2849) q[3];
rx(0.0581) q[4];
rz(0.2841) q[4];
rx(0.4897) q[5];
rz(0.1531) q[5];
rx(0.4894) q[6];
rz(0.1527) q[6];
crz(0.2609) q[6], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} |
fdfbddd83ad5e4b88801b3192987124e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 2... | {"states": [1, 57], "expectation_value": -8.452899856368651, "params": null, "bitstrings": ["1111110", "1000110"], "total_optimization_steps": 52, "probabilities": [0.1796831586444573, 0.5310193734902531], "optimization_time": 51.08256673812866} | -0.75 * (Z(0) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(1) @ Z(4)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * Z(4) + -0.25 * Z(0) + -0.75 * Z(5) + 1.0 * Z(6) + 0.75 *... | 1 | 7 | 4 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.75, "smallest_bitstrings": ["1000110", "1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.57) q[6], q[0];
ry(1.1302) q[6];
ry(-1.5697) q[5];
ry(-1.5708) q[4];
ry(-0.5955) q[0];
cry(0.3524) q[3], q[6];
cry(1.4449) q[2], q[1];
cry(1.497) q[2], q[3];
cry(0.9286) q[1], q[2];
cry(0.4231) q[1... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.57) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];... |
1e191a11f35582298737a38bddb93633 | 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": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": ... | {"states": [256, 264], "expectation_value": -27.42923609330638, "params": [-0.006900000000000001, -0.0055000000000000005, -0.0015, -0.004200000000000001, -0.0039000000000000003, -0.0032, 0.29810000000000003, 0.3024, -0.0044, -0.005200000000000001, -0.0018000000000000002, -0.0017000000000000001, -0.0014, -0.001, -0.0008... | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(10) @ Z(0)) + -0.75 * (Z(10) @ Z(6)) + -0.25 * (Z(11) @ Z(0)) + -0.25 * (Z(11) @ Z(4)) + -1.75 * (Z(11) @ Z(6)) + -1.0 * (Z(11) @ Z(10)) + -1.0 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(4)) + -1.5 ... | 14 | 12 | 4 | {"smallest_eigenvalues": [-28.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.5, "smallest_bitstrings": ["111011110111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0069) q[0];
ry(-0.0015) q[1];
ry(-0.0039) q[2];
ry(0.2981) q[3];
ry(-0.0044) q[4];
ry(-0.0018) q[5];
ry(-0.0014) q[6];
ry(-0.0008) q[7];
ry(0.2865) q[8];
ry(-0.0036) q[9];
ry(-0.0025) q[10];
ry(-0.0001) q[11];
crx(0.2208) q[11], q[0];
crx(0.2457) q[10]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
d4330ca50c7e11a2ef645e484effbde2 | 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": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "s... | {"states": [145, 153], "expectation_value": -15.5780023991854, "params": [-0.0018000000000000002, -0.4234, -0.006500000000000001, -0.44730000000000003, -0.4043, 0.07300000000000001, -0.3886, 0.0888, -0.0112, -0.0975, 0.006200000000000001, -0.15280000000000002, -0.007, -0.06670000000000001, 0.0026000000000000003, -0.245... | -1.25 * (Z(0) @ Z(2)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(0)) + 2.5 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(7)) + -1.25 * (Z(1) @ Z(5)) + -1.5 * (Z(1) @ Z(7)) + -1.5 * (Z(1) @ Z(8)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(7)) + -0.75 * (Z(6) @ Z(5)) + -1.25 * (Z(6) @ ... | 5 | 9 | 4 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["101100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0018) q[0];
rz(-0.4234) q[0];
rx(-0.4043) q[1];
rz(0.073) q[1];
rx(-0.0112) q[2];
rz(-0.0975) q[2];
rx(-0.007) q[3];
rz(-0.0667) q[3];
rx(0.4618) q[4];
rz(0.0932) q[4];
rx(-0.201) q[5];
rz(0.1585) q[5];
rx(-0.019) q[6];
rz(-0.0112) q[6];
rx(-0.0051) 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": []} |
5675e3d1d23688cedf58afc21ee4a6b6 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"source": ... | {"states": [383, 1023], "expectation_value": -13.07543751772129, "params": null, "bitstrings": ["1010000000", "0000000000"], "total_optimization_steps": 100, "probabilities": [0.12809741942845723, 0.46835014598754204], "optimization_time": 166.70394158363342} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + -2.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(1) @ Z(9)) + -1.5 * (Z(1) @ Z(8)) + -1.0 * Z(2) + 1.0 * Z(0) + 0.5 * Z(4) + 0.5 * Z(... | 5 | 10 | 1 | {"smallest_eigenvalues": [-16.0, -16.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -15.0, "smallest_bitstrings": ["0000000000", "1010000000"]} | 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[3], q[7];
ry(1.0383) q[3];
cry(1.5708) q[7], q[5];
cry(0.2441) q[5], q[7];
cry(1.5706) q[2], q[0];
cry(1.5706) q[3], q[4];
cry(1.5704) q[7], q[6];
cry(1.5681) q[8],... | null | {"node": 1} | {"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[3], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... |
cde6b48ed870286595c1455af7aff8bd | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}]} | {"states": [59387, 59355], "expectation_value": -16.761304388806884, "params": [3.1459, 0.0031000000000000003, 1.7584000000000002, 0.0047, 3.1449000000000003, 0.0015, 1.3358, 0.006500000000000001, 1.3314000000000001, 0.0019, 3.1456, 0.007500000000000001, 1.7497, 0.0028, 3.1460000000000004, 0.007, 1.7492, 0.008400000000... | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(2)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(... | 18 | 16 | 1 | {"smallest_eigenvalues": [-20.499999999999932], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.499999999999858, "smallest_bitstrings": ["0001100000100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(3.1459) q[0];
rz(0.0031) q[0];
rx(1.7584) q[1];
rz(0.0047) q[1];
rx(3.1449) q[2];
rz(0.0015) q[2];
rx(1.3358) q[3];
rz(0.0065) q[3];
rx(1.3314) q[4];
rz(0.0019) q[4];
rx(3.1456) q[5];
rz(0.0075) q[5];
rx(1.7497) q[6];
rz(0.0028) q[6];
rx(3.146) 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[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 0}]}} | {"circuits": [], "gradients": []} |
3778500783143902290 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 1, 2, 3, 7, 8, 10, 12], [1, 3, 5, 8, 10, 11], [4, 6, 8, 11, 12], [10, 5, 6], [0, 1, 11, 5], [0, 5, 7, 10, 12], [1, 6], [0, 1, 3, 4, 5, 10, 12], [11, 12, 5, 7], [8, 9]]} | {"states": [3478, 3479], "expectation_value": -2.4153113359954452, "params": [1.3701, 0.0047, 2.6595, 0.0034000000000000002, 3.1396, 0.0032, 0.7762, 0.0095, 3.1392, 0.0001, 3.1395, 0.0067, -0.015600000000000001, 0.0088, 0.8058000000000001, 0.0006000000000000001, 3.1395, 0.0002, -0.0028, 0.0098, 3.1396, 0.00480000000000... | 0.125 * (Z(0) @ Z(1)) + 0.017857142857142856 * (Z(2) @ Z(1)) + 0.017857142857142856 * (Z(2) @ Z(0)) + 0.075 * (Z(3) @ Z(1)) + 0.041666666666666664 * (Z(3) @ Z(0)) + 0.017857142857142856 * (Z(3) @ Z(2)) + 0.017857142857142856 * (Z(7) @ Z(1)) + 0.06785714285714287 * (Z(7) @ Z(0)) + 0.017857142857142856 * (Z(7) @ Z(2)) + ... | 16 | 13 | 1 | {"smallest_eigenvalues": [-2.7511904761904757], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.7369047619047624, "smallest_bitstrings": ["1001001101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(1.3701) q[0];
rz(0.0047) q[0];
rx(2.6595) q[1];
rz(0.0034) q[1];
rx(3.1396) q[2];
rz(0.0032) q[2];
rx(0.7762) q[3];
rz(0.0095) q[3];
rx(3.1392) q[4];
rz(0.0001) q[4];
rx(3.1395) q[5];
rz(0.0067) q[5];
rx(-0.0156) q[6];
rz(0.0088) q[6];
rx(0.8058) 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": []} |
2de09f74732740eb4132d4c45672d4c0 | 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": [121, 109], "expectation_value": -21.602970407770577, "params": [[-0.035500000000000004, 0.004], [0.0801, 0.08]], "bitstrings": ["10000110", "10010010"], "total_optimization_steps": 10, "probabilities": [0.012966239337627557, 0.01583291238123276], "optimization_time": 2.888418436050415} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 12.0 * Z(1) + 2.0 * Z(0) + 19.5 * Z(2) + 6.5 * Z(3) + 12... | 1 | 8 | 2 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.355) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.355) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.355) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.355) q[3];
cx q[1], q[3];
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": []} |
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": -0.2815094743480402, "params": [[0.052000000000000005], [-0.0437]], "bitstrings": ["111011110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.002325095468140287, 0.002365293948008987], "optimization_time": 2.087129831314087} | -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 | 1 | {"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(-0.104) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.026) q[3];
cx q[0], q[3];
cx q[2], q[6];
rz(-0.026) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(-0.078) q[6];
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;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
c9e23c3d875481c51b6b7ae3dd88ddb0 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [63, 511], "expectation_value": -2.482289595566225, "params": [[-0.0697], [0.0704]], "bitstrings": ["1111000000", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.0019347820889255784, 0.001994888852454481], "optimization_time": 3.4048445224761963} | 0.5 * (Z(0) @ Z(3)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * (Z(2) @ Z(1)) + -2.5 * (Z(4) @ Z(5)) + -3.0 * (Z(8) @ Z(5)) + -2.5 * (Z(8) @ Z(4)) + 1.0 * (Z(9) @ Z(5)) + -2.5 * (Z(9) @ Z(4)) + -2.5 * (Z(9) @ Z(8)) + -2.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(9)) + 1.0 ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-26.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.0, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[3], q[0];
rz(-0.0697) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.2788) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.0697) q[2];
cx q[3], q[2];
cx q[1], q[2];
rz(0.2091) q[2];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[3], q[0];
rz(... | {"node": 0} | {"circuits": [], "gradients": []} |
30e28b56cad01a233ddf0894e9b7eaa8 | 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": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [49, 50], "expectation_value": -3.999937478449852, "params": null, "bitstrings": ["001110", "001101"], "total_optimization_steps": 28, "probabilities": [1.6357230666329146e-05, 0.9999687399529342], "optimization_time": 17.05268096923828} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(1) + -0.5 * Z(5) + -1.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["110010", "001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[2];
ry(-1.5681) q[3];
ry(-1.4449) q[5];
ry(1.4449) q[0];
ry(1.4417) q[4];
ry(1.4417) q[1];
cry(-0.1259) q[4], q[5];
cry(0.1218) q[0], q[1];
cry(0.1216) q[1], q[4];
cry(0.1186) q[4], q[0];
cry(-0.002... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
61e72a7f3bba48b5d0ac6a3978f4cc8b | 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": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [184, 188], "expectation_value": -1.901290771785275, "params": [[[0.4567, 0.0073], [1.7018, 0.0079], [-0.0026000000000000003, 0.0023], [1.7063000000000001, 0.0024000000000000002], [1.7102000000000002, 0.003], [1.7073, 0.009000000000000001], [1.6105, 0.009600000000000001], [0.4506, 0.0014], [0.893, 0.0097]]],... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + -0.125 * (Z(5) @ Z(2) @ Z(3)) + -0.125 * (Z(4) @ Z(5) @ Z(2)) + -0.125 * (Z(4) @ Z(5) @ Z(3)) + 0.125 * (Z(4) @ Z(5) @ Z(2... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.375, "smallest_bitstrings": ["101000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.4567) q[0];
rz(0.0073) q[0];
rx(1.7018) q[1];
rz(0.0079) q[1];
rx(-0.0026) q[2];
rz(0.0023) q[2];
rx(1.7063) q[3];
rz(0.0024) q[3];
rx(1.7102) q[4];
rz(0.003) q[4];
rx(1.7073) q[5];
rz(0.009) q[5];
rx(1.6105) q[6];
rz(0.0096) q[6];
rx(0.4506) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
1969146899557880099 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3], [1, 3], [5, 6], [3, 5], [2, 3], [2, 4], [4, 6], [0, 1], [0, 2], [3, 6], [0, 5], [5, 7]]} | {"states": [92, 102], "expectation_value": -3.1896061585015425, "params": null, "bitstrings": ["10100011", "10011001"], "total_optimization_steps": 67, "probabilities": [0.06854483432035798, 0.5800729349760536], "optimization_time": 82.95544862747192} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["01100110", "10011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[6], q[3];
cry(-1.0342) q[6], q[4];
cry(1.3762) q[6], q[2];
ry(0.6284) q[6];
cry(-0.6942) q[2], q[3];
cry(-0.6942) q[2], q[4];
ry(1.216) q[1];
cry(-1.3921) q[5], q[0];
ry(0.9928) q[5... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[6], q[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... |
291fb5db31402c7ef22d6cc5b00311e3 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target":... | {"states": [15, 191], "expectation_value": -6.564715085944574, "params": [[0.17830000000000001], [-0.3529]], "bitstrings": ["111110000", "101000000"], "total_optimization_steps": 40, "probabilities": [0.01848475854342846, 0.0190404924807727], "optimization_time": 3.003929853439331} | -2.0 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -2.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + -1.0 * Z(2) + -1.5 * Z(0) +... | 1 | 9 | 1 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["101000000"]} | 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(-0.7132) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.1783) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.8915) q[3];
cx q[0], q[3];
cx q[3], q[1];
rz(0.1783) q[1];
cx q[3], q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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(x0) q[0];
cx q[2], q[0];
cx q[... | {"node": 1} | {"circuits": [], "gradients": []} |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 3}, {"source": ... | {"states": [6, 7], "expectation_value": -0.7661283892995004, "params": [[[1.0728, 0.0047], [1.3854, 0.0016], [1.3422, 0.0066], [1.8334000000000001, 0.002], [1.7908000000000002, 0.0082], [1.6251, 0.008400000000000001]]], "bitstrings": ["111001", "111000"], "total_optimization_steps": 190, "probabilities": [0.04867556239... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 1 | 6 | 1 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(1.0728) q[0];
rz(0.0047) q[0];
rx(1.3854) q[1];
rz(0.0016) q[1];
rx(1.3422) q[2];
rz(0.0066) q[2];
rx(1.8334) q[3];
rz(0.002) q[3];
rx(1.7908) q[4];
rz(0.0082) q[4];
rx(1.6251) q[5];
rz(0.0084) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | {"k": 3} | {"circuits": [], "gradients": []} |
1371a8d233ceedbf3a9ec9931886713d | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [43733, 43605], "expectation_value": -0.008465551648524545, "params": [1.6431, 0.0043, 1.4808000000000001, 0.0094, 1.6611, 0.0061, 1.4727000000000001, 0.009300000000000001, 1.6544, 0.0022, 1.4741, 0.0001, 1.6061, 0.006900000000000001, 1.5116, 0.006, 1.5462, 0.0046, 1.6015000000000001, 0.006500000000000001, 1... | 0.25 * (Z(0) @ Z(1)) + 0.0002066115702479339 * (Z(2) @ Z(0)) + 0.0002066115702479339 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0008264462809917356 * (Z(4) @ Z(0)) + -0.0008264462809917356 * (Z(4) @ Z(2)) + -0.0008264462809917356 * (Z(5) @ Z(1)) + -0.0008264462809917356 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0006... | 16 | 16 | 1 | {"smallest_eigenvalues": [-2.0193181818180936], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0193181818180928, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(1.6431) q[0];
rz(0.0043) q[0];
rx(1.4808) q[1];
rz(0.0094) q[1];
rx(1.6611) q[2];
rz(0.0061) q[2];
rx(1.4727) q[3];
rz(0.0093) q[3];
rx(1.6544) q[4];
rz(0.0022) q[4];
rx(1.4741) q[5];
rz(0.0001) q[5];
rx(1.6061) q[6];
rz(0.0069) q[6];
rx(1.5116) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
-7200106346949090979 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 4, 5, 6, 8], [2, 3, 4, 7, 8], [0, 2, 3, 5, 8], [0, 1, 2, 3, 6, 7], [8, 1, 4, 7], [8, 6, 7], [0, 4, 5, 7], [1, 3, 4, 6]]} | {"states": [126, 469], "expectation_value": -0.9987556104316851, "params": [[-0.38380000000000003], [0.3763]], "bitstrings": ["110000001", "000101010"], "total_optimization_steps": 40, "probabilities": [0.005134142607809077, 0.005157432599585829], "optimization_time": 2.523036241531372} | 0.05714285714285714 * (Z(0) @ Z(1)) + 0.05714285714285714 * (Z(2) @ Z(1)) + 0.10714285714285715 * (Z(2) @ Z(0)) + 0.19047619047619047 * (Z(4) @ Z(1)) + 0.10714285714285714 * (Z(4) @ Z(0)) + 0.07380952380952381 * (Z(4) @ Z(2)) + 0.023809523809523808 * (Z(5) @ Z(1)) + 0.15714285714285714 * (Z(5) @ Z(0)) + 0.0738095238095... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.7428571428571433], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7428571428571429, "smallest_bitstrings": ["000101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.0439) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0439) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0822) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.1462) q[4];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
91fd701868951eab612ba86420778b2e | kclique | 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": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [33, 3], "expectation_value": -14.315141270031734, "params": null, "bitstrings": ["011110", "111100"], "total_optimization_steps": 51, "probabilities": [0.10868101364905021, 0.5506785707904625], "optimization_time": 52.52177906036377} | 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)) + 2.25 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.25 * (Z(5) @ Z(3)) + 2.5 ... | 16 | 6 | 2 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-0.0019) q[3];
ry(-0.1501) q[0];
ry(-0.2661) q[1];
ry(-0.5343) q[2];
cry(-1.2939) q[5], q[1];
cry(-1.4207) q[4], q[0];
cry(-1.0365) q[3], q[2];
cry(-1.3374) q[5], q[3];
ry(0.6128) q[5];
cry(-0.4857) q[4], q[1]... | null | {"k": 4} | {"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(-0.0019) 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 \"stdga... |
6d259388045d20d69ae4242ad2e143d7 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [1, 9], "expectation_value": -0.858274070215379, "params": [[-0.046, -0.0511, -0.0466, -0.058300000000000005], [0.054900000000000004, 0.063, 0.0557, 0.0648]], "bitstrings": ["11110", "10110"], "total_optimization_steps": 10, "probabilities": [0.05370692015869809, 0.061684709632096296], "optimization_time": 3... | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 0.25 * Z(1) + 0.5 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(0.046) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.069) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.046) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.023) q[1];
cx q[2], q[1];
cx q[3], q[1];
rz(0.023) q[1];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
bd53e0f03f0d19af6cb39bf47cf396d2 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [61, 53], "expectation_value": -2.2110037174256334, "params": [[0.0758, 0.07010000000000001, 0.0658], [-0.0753, -0.06380000000000001, -0.0534]], "bitstrings": ["1000010", "1001010"], "total_optimization_steps": 10, "probabilities": [0.02200789408980546, 0.0234742849322554], "optimization_time": 3.02870464324... | -0.75 * (Z(0) @ Z(5)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(4)) + -1.0 * (Z(3) @ Z(5)) + -2.5 * Z(5) + -0.25 * Z(0) + -0.75 * Z(6) + 1.5 * Z(1) + -0.25 * Z(4) + 1.25 * Z(2) + 1.0 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["1001010", "1000010"]} | 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(-0.1137) q[0];
cx q[5], q[0];
cx q[0], q[6];
rz(0.1516) q[6];
cx q[0], q[6];
cx q[6], q[1];
rz(-0.0758) q[1];
cx q[6], q[1];
cx q[1], q[4];
rz(-0.2274) q[4];
cx q[1], q[4];
cx q[5], q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} |
-1699526286124358740 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 6], [2, 3, 5], [2, 6], [1, 2], [2, 5, 7], [1, 3, 5], [2, 3, 7], [0, 4], [4, 5, 7], [1, 4, 5], [0, 5, 7], [3, 4, 7], [0, 2, 3], [3, 5, 6]]} | {"states": [180, 91], "expectation_value": -0.22765537595891366, "params": [[0.0786], [-0.0809]], "bitstrings": ["01001011", "10100100"], "total_optimization_steps": 10, "probabilities": [0.00452523994234545, 0.00459786903538272], "optimization_time": 0.8588757514953613} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.666666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.666666666666667, "smallest_bitstrings": ["10100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[6], q[0];
rz(0.0786) q[0];
cx q[6], q[0];
cx q[6], q[2];
rz(0.0786) q[2];
cx q[6], q[2];
cx q[0], q[2];
rz(0.0262) q[2];
cx q[0], q[2];
cx q[6], q[3];
rz(0.0262) q[3];
cx q[6], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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[6], q[0];
rz(x0) q[0];
cx q[6],... | null | {"circuits": [], "gradients": []} |
26d7f56e59bfdf48052023802b40605b | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [5, 9], "expectation_value": -0.20302854169406973, "params": [[0.0671, 0.059800000000000006, 0.0324], [-0.0761, -0.0646, -0.037200000000000004]], "bitstrings": ["11010", "10110"], "total_optimization_steps": 10, "probabilities": [0.0398387523143275, 0.039838752314327534], "optimization_time": 3.0643327236175... | 0.5 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(0) @ Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -0.75 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.75 * Z(3) + 0.0 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["11010", "10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[1];
rz(0.0671) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.0336) q[0];
cx q[1], q[0];
cx q[4], q[0];
rz(0.0336) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(0.0336) q[1];
cx q[4], q[1];
cx q[4], q[1];
cx q[1], q[0];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
c81be2f473f7a54aa58d16bc5af2db83 | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "ta... | {"states": [84, 85], "expectation_value": -1.9909538313658046, "params": [[[0.0023, 0.005], [0.9946, 0.0029000000000000002], [1.6051, 0.0031000000000000003], [1.0333, 0.0068000000000000005], [1.6019, 0.0013000000000000002], [0.0023, 0.0058000000000000005], [1.6024, 0.0001], [-0.0025, 0.0054], [1.5982, 0.008400000000000... | 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(1)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(7) @ Z(2)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(4) @ Z(6) @ Z(2)) + -0.125 * (Z(4) @ Z(7) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["100111010", "110101010", "110001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0023) q[0];
rz(0.005) q[0];
rx(0.9946) q[1];
rz(0.0029) q[1];
rx(1.6051) q[2];
rz(0.0031) q[2];
rx(1.0333) q[3];
rz(0.0068) q[3];
rx(1.6019) q[4];
rz(0.0013) q[4];
rx(0.0023) q[5];
rz(0.0058) q[5];
rx(1.6024) q[6];
rz(0.0001) q[6];
rx(-0.0025) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
58fa04385078dcdc0b5f9361c481400a | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [174, 206], "expectation_value": -1.9093767458551345, "params": null, "bitstrings": ["01010001", "00110001"], "total_optimization_steps": 58, "probabilities": [0.08401115856030354, 0.7713980463996462], "optimization_time": 107.53255915641785} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(4)... | 1 | 8 | 4 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -1.125, "smallest_bitstrings": ["00110010", "01000110", "01010001", "01110000", "10001001", "01010100",... | 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(-0.5926) q[6], q[3];
ry(0.8622) q[4];
cry(-0.8963) q[5], q[3];
ry(0.8608) q[0];
cry(-1.1915) q[1], q[2];
cry(0.6159) q[4], q[0];
ry(0.7334) q[5];
cry(-0.4569) q[4], q[3];
cry(0.9004) q[5], q[6... | 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(-0.5926) 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... |
f20b14ccaf46fd91ed39b9c05edbe906 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target"... | {"states": [78, 53], "expectation_value": -0.2637523544049235, "params": [[-0.059500000000000004, -0.061200000000000004, -0.07680000000000001], [0.07060000000000001, 0.0689, 0.0757]], "bitstrings": ["0110001", "1001010"], "total_optimization_steps": 10, "probabilities": [0.011780367138435333, 0.01178036713843534], "opt... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(0) @ Z(6)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.12... | 1 | 7 | 3 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -1.125, "smallest_bitstrings": ["1010001", "1001010", "0110001", "1110000", "1011000", "0101100", "1010010", "0110100", "1001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0595) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.0595) q[2];
cx q[3], q[2];
cx q[2], q[4];
rz(-0.0298) q[4];
cx q[2], q[4];
cx q[2], q[5];
rz(-0.0298) q[5];
cx q[2], q[5];
cx q[5], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
a145449c5913a1392d811f2ccc6af5aa | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [39509, 43605], "expectation_value": -2.0167022487241155, "params": [0.39, 0.39480000000000004, -0.0029000000000000002, -0.0073, -0.5653, -0.5227, 0.3538, 0.3378, 0.38720000000000004, 0.38730000000000003, 0.0039000000000000003, 0.0022, 0.3865, 0.392, 0.0149, -0.0051, -0.013900000000000001, 0.0026000000000000... | 0.25 * (Z(0) @ Z(1)) + -0.0006714876033057851 * (Z(2) @ Z(0)) + -0.0006714876033057851 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0005165289256198348 * (Z(4) @ Z(0)) + -0.0005165289256198348 * (Z(4) @ Z(2)) + -0.0005165289256198348 * (Z(5) @ Z(1)) + -0.0005165289256198348 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 13 | 16 | 4 | {"smallest_eigenvalues": [-2.0231404958677377], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0231404958676977, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(0.39) q[0];
ry(-0.0029) q[1];
ry(-0.5653) q[2];
ry(0.3538) q[3];
ry(0.3872) q[4];
ry(0.0039) q[5];
ry(0.3865) q[6];
ry(0.0149) q[7];
ry(-0.0139) q[8];
ry(0.3936) q[9];
ry(-0.0251) q[10];
ry(0.3926) q[11];
ry(0.006) q[12];
ry(0.3875) q[13];
ry(-0.0008) q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
f222dfb2324275edf5e9240be57dcb14 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, ... | {"states": [77, 109], "expectation_value": -3.045023555265157, "params": [-0.0004, 0.2432, -0.0026000000000000003, 0.233, 0.09090000000000001, 0.13470000000000001, 0.0848, 0.1332, 0.3003, 0.009000000000000001, 0.29600000000000004, 0.0273, 0.2963, -0.0014, 0.2907, 0.0081, 0.0892, 0.1381, 0.0947, 0.14400000000000002, 0.2... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(0) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(6)) + -0.125 * (Z(0) @ Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(5) @ Z(6)) + 0.12... | 7 | 9 | 4 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.875, "smallest_bitstrings": ["101010010", "110010010", "110100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0004) q[0];
rz(0.2432) q[0];
rx(0.0909) q[1];
rz(0.1347) q[1];
rx(0.3003) q[2];
rz(0.009) q[2];
rx(0.2963) q[3];
rz(-0.0014) q[3];
rx(0.0892) q[4];
rz(0.1381) q[4];
rx(0.2986) q[5];
rz(0.0315) q[5];
rx(0.2986) q[6];
rz(-0.0007) q[6];
rx(-0.0021) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
8446431012283473570 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 3, 4, 5, 6, 7], [1, 2, 3, 6], [1, 2, 6, 7], [1, 2, 4, 6]]} | {"states": [191, 187], "expectation_value": -0.8952259163357432, "params": [1.4769, 0.0025, 1.1352, 0.0036000000000000003, 0.6905, -0.0027, 0.6792, 0.0056, 1.4917, 0.0027, 1.4715, 0.002, 1.4924000000000002, 0.0021000000000000003, 1.4898, 0.0045000000000000005, 1.4881, 0.0026000000000000003, 1.4829, 0.0067, 1.0922, -0.0... | 0.023809523809523808 * (Z(0) @ Z(1)) + 0.10714285714285714 * (Z(3) @ Z(1)) + 0.023809523809523808 * (Z(3) @ Z(0)) + 0.10714285714285714 * (Z(4) @ Z(1)) + 0.023809523809523808 * (Z(4) @ Z(0)) + 0.023809523809523808 * (Z(4) @ Z(3)) + 0.023809523809523808 * (Z(5) @ Z(1)) + 0.023809523809523808 * (Z(5) @ Z(0)) + 0.02380952... | 6 | 8 | 1 | {"smallest_eigenvalues": [-0.9404761904761905, -0.9404761904761905], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.9404761904761904, "smallest_bitstrings": ["01000100", "10100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.4769) q[0];
rz(0.0025) q[0];
rx(0.6905) q[1];
rz(-0.0027) q[1];
rx(1.4917) q[2];
rz(0.0027) q[2];
rx(1.4924) q[3];
rz(0.0021) q[3];
rx(1.4881) q[4];
rz(0.0026) q[4];
rx(1.0922) q[5];
rz(-0.0005) q[5];
rx(1.4791) q[6];
rz(0.0023) q[6];
rx(1.4923) 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": []} |
03ff3a7533d396b93efc645d4aae3cbe | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 2}, {"weight": 15, "source": 0, "target": 5}, {"weight": 20, "source": 0, "ta... | {"states": [245, 244], "expectation_value": -31.34868730123897, "params": null, "bitstrings": ["100001010", "100001011"], "total_optimization_steps": 100, "probabilities": [0.039722945789679026, 0.10131011762480907], "optimization_time": 191.05873036384583} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 20.0 * Z(1) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["100001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-3.4097) q[1];
ry(8.4588) q[2];
cry(-44.3803) q[2], q[1];
ry(11.2785) q[6];
ry(23.9836) q[3];
ry(28.6737) q[0];
cry(-26.8794) q[8], q[1];
cry(26.4986) q[1], q[2];
cry(-7.7248) q[2], q[0... | null | {"matching": "maximum", "extra": "{\"n\": 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(-3.4097) 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] = ... |
a7464c08e965f26b67e99ee8d25bc785 | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [13, 141], "expectation_value": -4.176150063351779, "params": [0.9026000000000001, -0.00030000000000000003, 0.0251, 0.4637, 0.0049, 0.2286, 0.28900000000000003, 0.45580000000000004, 0.9054000000000001, -0.0167, 0.9042, -0.0034000000000000002, 0.7893, 0.0109, 0.9006000000000001, -0.006, 0.9013, 0.1034, -0.002... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * Z(1) + -1.0 * Z(0) + -2.0 * Z(2) + -1.0 * Z(6) + -0.5 * Z(3) + -0.5 * Z... | 4 | 8 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["01100110", "01110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.9026) q[0];
rz(-0.0003) q[0];
rx(0.0251) q[1];
rz(0.4637) q[1];
rx(0.0049) q[2];
rz(0.2286) q[2];
rx(0.289) q[3];
rz(0.4558) q[3];
rx(0.9054) q[4];
rz(-0.0167) q[4];
rx(0.9042) q[5];
rz(-0.0034) q[5];
rx(0.7893) q[6];
rz(0.0109) q[6];
rx(0.9006) 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": []} |
a3571c19d72a014065614d323aff3379 | 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": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [21, 30], "expectation_value": -0.398818408133356, "params": [[-0.0748, -0.0751], [0.0762, 0.07490000000000001]], "bitstrings": ["101010", "100001"], "total_optimization_steps": 10, "probabilities": [0.020935060889157264, 0.022179073026252126], "optimization_time": 2.0914368629455566} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(3) + -1.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(-0.0748) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(-0.0748) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(-0.0748) q[5];
cx q[0], q[5];
cx q[4], q[5];
rz(-0.0748) q[5];
cx q[4], q[5];
cx q[0], 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] 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": []} |
7800771855046918514 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11], [0, 10, 3, 7], [0, 4, 5, 6, 7, 8, 9, 10], [0, 2, 7, 10, 11], [0, 1, 2, 3, 4, 5, 6, 8, 9, 10, 11], [0, 2, 4, 6, 7, 8, 10]]} | {"states": [1662, 1918], "expectation_value": -1.1499012229073466, "params": [[[0.7757000000000001, 0.003], [3.1386000000000003, 0.0059], [3.1384000000000003, 0.0079], [1.6095000000000002, 0.0023], [0.7847000000000001, 0.006900000000000001], [2.6553, 0.0019], [1.6754, 0.0073], [3.1397, 0.009300000000000001], [3.1385, 0... | 0.02727272727272727 * (Z(1) @ Z(2)) + 0.02727272727272727 * (Z(3) @ Z(2)) + 0.02727272727272727 * (Z(3) @ Z(1)) + 0.051082251082251076 * (Z(4) @ Z(2)) + 0.02727272727272727 * (Z(4) @ Z(1)) + 0.02727272727272727 * (Z(4) @ Z(3)) + 0.02727272727272727 * (Z(5) @ Z(2)) + 0.02727272727272727 * (Z(5) @ Z(1)) + 0.0272727272727... | 1 | 12 | 1 | {"smallest_eigenvalues": [-1.2917748917748926, -1.2917748917748926], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.2917748917748924, "smallest_bitstrings": ["100010000001", "100000100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.7757) q[0];
rz(0.003) q[0];
rx(3.1386) q[1];
rz(0.0059) q[1];
rx(3.1384) q[2];
rz(0.0079) q[2];
rx(1.6095) q[3];
rz(0.0023) q[3];
rx(0.7847) q[4];
rz(0.0069) q[4];
rx(2.6553) q[5];
rz(0.0019) q[5];
rx(1.6754) q[6];
rz(0.0073) q[6];
rx(3.1397) 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": []} |
4eebe9a8a97a840077f78c3a170e65f1 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3... | {"states": [126, 63], "expectation_value": -1.156314070306732, "params": [[-0.0669, -0.0572, -0.0432, -0.0025], [0.0762, 0.0734, 0.0693, 0.048400000000000006]], "bitstrings": ["0000001", "1000000"], "total_optimization_steps": 10, "probabilities": [0.019923992085141354, 0.02394482071044881], "optimization_time": 6.6887... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.25, "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[1], q[0];
rz(0.0669) q[0];
cx q[1], q[0];
cx q[0], q[5];
rz(0.0335) q[5];
cx q[0], q[5];
cx q[1], q[2];
rz(0.1003) q[2];
cx q[1], q[2];
cx q[5], q[2];
rz(0.0669) q[2];
cx q[5], q[2];
cx q[1], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
bd450980ecb62a263062b6b855a443ea | 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": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [31, 11], "expectation_value": -1.222005282258045, "params": [[-0.0711, -0.0454, -0.0442], [0.0813, 0.0635, 0.061500000000000006]], "bitstrings": ["1100000", "1110100"], "total_optimization_steps": 10, "probabilities": [0.016927196688044717, 0.0170049317725787], "optimization_time": 3.2665019035339355} | -1.0 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(5)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + -0.75 * Z(1) + -0.25 * Z(0) + 1.0 * Z(5) + -0.25 * Z(3) + -0.5 * Z(4) + 0.5 * Z(2) + 0.25 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["1100100", "1100000", "1110100"]} | 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(0.1422) q[0];
cx q[1], q[0];
cx q[0], q[5];
rz(0.0355) q[5];
cx q[0], q[5];
cx q[1], q[3];
rz(0.0711) q[3];
cx q[1], q[3];
cx q[5], q[3];
rz(0.1422) q[3];
cx q[5], q[3];
cx q[1], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
2fc4cdd822562fe181c001ffdae1abb5 | 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": 1, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 9}, {"capacity": 4, "source": ... | {"states": [2048, 2046], "expectation_value": -15.523278011360912, "params": [[[0.0004, -0.4006], [-0.0023, -0.0017000000000000001], [0.0014, -0.0027], [0.0012000000000000001, 0.0031000000000000003], [0.0024000000000000002, 0.0031000000000000003], [-0.0047, -0.0032], [0.0021000000000000003, 0.0031000000000000003], [0.0... | -0.25 * (Z(0) @ Z(8)) + -0.75 * (Z(11) @ Z(0)) + -1.0 * (Z(1) @ Z(4)) + -0.25 * (Z(7) @ Z(11)) + -0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(7)) + -0.5 * (Z(5) @ Z(11)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(5)) + -0.75 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(1)) + -0.25 * (Z... | 15 | 12 | 4 | {"smallest_eigenvalues": [-17.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.25, "smallest_bitstrings": ["100000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0004) q[0];
ry(-0.0023) q[1];
ry(0.0014) q[2];
ry(0.0012) q[3];
ry(0.0024) q[4];
ry(-0.0047) q[5];
ry(0.0021) q[6];
ry(0.005) q[7];
ry(0.0009) q[8];
ry(0.002) q[9];
ry(-0.1752) q[10];
ry(-0.0023) 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[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
-8520210685024926198 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 6], [3, 6], [0, 5], [1, 5], [4, 6]]} | {"states": [19, 97], "expectation_value": -0.05203858679692529, "params": [[-0.07930000000000001], [0.0742]], "bitstrings": ["1101100", "0011110"], "total_optimization_steps": 10, "probabilities": [0.0086510645442855, 0.008651675962137341], "optimization_time": 0.48332953453063965} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.16666666666666666 * Z(2) + 0.16666666666666663 * Z(0) + 0.16666666666666674 * Z(6) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.333333333333333, -2.333333333333333, -2.333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["0011110", "1101100", "0000011"]} | 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(-0.0264) q[0];
cx q[2], q[0];
cx q[2], q[6];
rz(-0.0264) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(-0.0264) q[6];
cx q[0], q[6];
cx q[6], q[3];
rz(-0.0793) q[3];
cx q[6], q[3];
cx q[0], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[6];
rz(x0) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(x0) q[6];
cx q[0], q... | null | {"circuits": [], "gradients": []} |
b993a5a7e57c18bd4205eb03339dcbdb | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [355, 487], "expectation_value": -6.451607558478969, "params": [[-0.1126, -0.1366, -0.11570000000000001], [0.1022, 0.1553, 0.1578]], "bitstrings": ["111010011100", "111000011000"], "total_optimization_steps": 20, "probabilities": [0.0039959265698314775, 0.003995926569831479], "optimization_time": 11.84928297... | 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(4) @ Z(9)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(3)) + -0.5 * (Z(10) @ Z(4)) + 0.5 * (Z(11) @ Z(9)) + 0... | 1 | 12 | 3 | {"smallest_eigenvalues": [-9.999999999999998, -9.999999999999998], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.666666666666666, "smallest_bitstrings": ["111010011100", "111000011000"]} | 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[9], q[5];
rz(-0.1126) q[5];
cx q[9], q[5];
cx q[9], q[6];
rz(-0.1126) q[6];
cx q[9], q[6];
cx q[5], q[6];
rz(-0.2252) q[6];
cx q[5], q[6];
cx q[9], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
44732eac01eb3fbc97fada8b3722ec85 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"sour... | {"states": [291, 419], "expectation_value": -5.230069989587988, "params": [0.2936, 0.3, 0.299, 0.29650000000000004, 0.09570000000000001, 0.1018, 0.29910000000000003, 0.3039, 0.0015, 0.0014, 0.001, -0.0056, -0.014700000000000001, -0.0188, 0.29960000000000003, 0.3032, 0.3024, 0.3045, 0.29500000000000004, 0.2953, 0.2918, ... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * Z(4) + -1.0 * Z(0) + -2.0 * Z(5) + -1.0 * Z(6) + -1.0 * Z(1) + 0.0 * Z(... | 13 | 9 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["010011100", "001011100", "110001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.2936) q[0];
ry(0.299) q[1];
ry(0.0957) q[2];
ry(0.2991) q[3];
ry(0.0015) q[4];
ry(0.001) q[5];
ry(-0.0147) q[6];
ry(0.2996) q[7];
ry(0.3024) q[8];
crz(0.0009) q[8], q[0];
crz(0.0005) q[7], q[8];
crz(0.0787) q[6], q[7];
crz(0.1687) q[5], q[6];
crz(-0.1749)... | 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": []} |
b426b8aff164c6823b185eb6b091738d | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [51, 53], "expectation_value": -2.5928785863055515, "params": null, "bitstrings": ["1001100", "1001010"], "total_optimization_steps": 45, "probabilities": [0.07553581477216839, 0.7557774249569611], "optimization_time": 54.36411738395691} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(5) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.2... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["1001010", "0110100"]} | 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(-1.4449) q[0];
cry(-1.3016) q[4], q[5];
cry(-1.3016) q[1], q[3];
ry(1.2881) q[2];
ry(0.7777) q[1];
ry(-0.5287) q[3];
ry(0.6761) q[4];
ry(-0.5895) q[5];
cry(1.1446) q[1], q[6];
cry(0.5991) q[2], q[4];
c... | 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(-1.4449) 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];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
8777ff3c42e14a86c796b9915ca51225 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 9, "source": 0, "t... | {"states": [110, 109], "expectation_value": -36.07322667178916, "params": [[-0.0392, -0.0033, 0.0058000000000000005, 0.012100000000000001], [0.0733, 0.06960000000000001, 0.06760000000000001, 0.0608]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.022843781499280506, 0.02418... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 14.5 * Z(1) + 9.0 * Z(0) + 13.5 * ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.3528) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3528) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3528) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(-0.3528) q[4];
cx q[0], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
-7113729499938187556 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2], [0, 5], [2, 5], [4, 5], [1, 4], [1, 5], [2, 4], [2, 3]]} | {"states": [37, 39], "expectation_value": -0.009238943925765117, "params": [[[1.6133000000000002, 0.0097], [1.5177, 0.0009000000000000001], [1.4884000000000002, 0.0049], [1.6568, 0.0098], [1.6122, 0.0054], [1.6155000000000002, 0.0074]]], "bitstrings": ["011010", "011000"], "total_optimization_steps": 170, "probabilitie... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.0, "smallest_bitstrings": ["111000", "110110", "100111", "100110", "001001", "000111", "011000", "011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(1.6133) q[0];
rz(0.0097) q[0];
rx(1.5177) q[1];
rz(0.0009) q[1];
rx(1.4884) q[2];
rz(0.0049) q[2];
rx(1.6568) q[3];
rz(0.0098) q[3];
rx(1.6122) q[4];
rz(0.0054) q[4];
rx(1.6155) q[5];
rz(0.0074) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} |
6129550657426354843 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 6], [0, 3], [2, 5], [0, 1], [4, 5], [3, 4], [0, 4], [1, 5], [1, 4], [1, 6]]} | {"states": [43, 75], "expectation_value": -2.4774964171353755, "params": null, "bitstrings": ["1010100", "0110100"], "total_optimization_steps": 51, "probabilities": [0.07874505986904265, 0.7551182483035572], "optimization_time": 53.83513307571411} | 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0, "smallest_bitstrings": ["0110100", "0111100", "1000111", "0111000", "1000011", "1001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.0342) q[1], q[4];
cry(-1.0342) q[6], q[2];
ry(1.3762) q[5];
cry(-0.7081) q[3], q[4];
ry(1.0536) q[3];
cry(-0.3262) q[5], q[4];
cry(-0.5042) q[5], q[2];
ry(1.1464) q[6];
cry(-1.2382) q[0], q[1];
ry(... | 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[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
ad71d37a0322c377fa72374b67c57129 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2},... | {"states": [2047, 127], "expectation_value": -46.54179671187536, "params": [[[0.0023, 0.009600000000000001], [0.0024000000000000002, 0.0038], [0.0022, 0.0099], [-1.6136000000000001, 0.0055000000000000005], [0.0025, 0.0047], [0.0024000000000000002, 0.0077], [0.0025, 0.0013000000000000002], [0.0024000000000000002, 0.0064... | -2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -3.5 * (Z(4) @ Z(5)) + -3.5 * (Z(6) @ Z(5)) + -3.5 * (Z(6) @ Z(4)) + -3.0 * (Z(9) @ Z(5)) + -3.5 * (Z(9) @ Z(4)) + -3.5 * (Z(9) @ Z(6)) + 1.0 * (Z(10) @ Z(5)) + -2.5 * (Z(10) @ Z(4)) + -3.5 * (Z(10) @ Z(6)) ... | 2 | 11 | 1 | {"smallest_eigenvalues": [-47.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -46.5, "smallest_bitstrings": ["11110000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0023) q[0];
rz(0.0096) q[0];
rx(0.0024) q[1];
rz(0.0038) q[1];
rx(0.0022) q[2];
rz(0.0099) q[2];
rx(-1.6136) q[3];
rz(0.0055) q[3];
rx(0.0025) q[4];
rz(0.0047) q[4];
rx(0.0024) q[5];
rz(0.0077) q[5];
rx(0.0025) q[6];
rz(0.0013) q[6];
rx(0.0024) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 4} | {"circuits": [], "gradients": []} |
c0497b20d0e680cacc77174a13e8b8b4 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 2}, {"weight": 20, "source": 1, "target": 6}, {... | {"states": [230, 118], "expectation_value": -18.778675524502134, "params": [[-0.0325, 0.0047], [0.07740000000000001, 0.0684]], "bitstrings": ["00011001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.00968390416339815, 0.012876454305159284], "optimization_time": 3.04372239112854} | 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(4) @ Z(2)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 20.5 * Z(1) + 7.0 * Z(0) + 12.5 * ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.5, "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(-0.26) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.26) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.26) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.26) q[3];
cx q[0], q[3];
cx q[1], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
4cd28f9bc761b26f6d6f15aeccbaedea | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 4}, {"weight": 18, "source": 0, "target": 5}, {"weight": 20, "source": 0, "target": 3}, {... | {"states": [63, 121], "expectation_value": -30.30665998169914, "params": null, "bitstrings": ["11000000", "10000110"], "total_optimization_steps": 100, "probabilities": [0.0767581592572071, 0.16623903505297943], "optimization_time": 186.4307849407196} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 18.0 * Z(1) + 12.5 * Z(0) + 17.5 *... | 1 | 8 | 3 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(0.5995) q[1];
ry(-0.6772) q[2];
ry(-18.6834) q[3];
ry(62.9278) q[7];
ry(23.7596) q[0];
cry(17.8632) q[1], q[3];
ry(63.0091) q[6];
ry(22.5857) q[4];
cry(10.0739) q[1], q[2];
cry(0.9802) q[1], q[... | null | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(0.5995) 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[... |
b7eaf66301f9b7c8d4f947444be4cce6 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7},... | {"states": [0, 1983], "expectation_value": -5.0085452825596946, "params": [0.6682, 0.0625, -0.5917, 0.0047, 0.7255, 0.21480000000000002, -0.6418, 0.005200000000000001, 0.7343000000000001, 0.2323, -0.6355000000000001, 0.006200000000000001, 0.7578, 0.3562, -0.1837, 0.0082, 0.6052000000000001, 0.1652, -0.2383, 0.0085, -0.... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(10)) + -1.0 * (Z(2) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(10) + 0.5 * Z(9) + 0.5 * Z(3) + 0.5 * Z(2) + -0.5 * Z(4) | 6 | 11 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["00001000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.6682) q[0];
rz(0.0625) q[0];
rx(0.7255) q[1];
rz(0.2148) q[1];
rx(0.7343) q[2];
rz(0.2323) q[2];
rx(0.7578) q[3];
rz(0.3562) q[3];
rx(0.6052) q[4];
rz(0.1652) q[4];
rx(-0.8003) q[5];
rz(0.5117) q[5];
rx(-0.8055) q[6];
rz(0.6102) q[6];
rx(-0.8121) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 3} | {"circuits": [], "gradients": []} |
4c2eecb4ef38c9274f53d19369153e09 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [7, 22], "expectation_value": -4.496397968981524, "params": null, "bitstrings": ["1111000", "1101001"], "total_optimization_steps": 27, "probabilities": [0.0663522978260702, 0.9303266216078185], "optimization_time": 22.63056182861328} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -1.0 * Z(5) + -1.0 * Z(6) + -0.5 * Z(1) + 0.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1111000", "1101001"]} | 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[0];
ry(-1.5681) q[3];
ry(-1.4449) q[1];
ry(1.4417) q[4];
ry(1.4417) q[5];
cry(-1.0343) q[2], q[6];
ry(0.7003) q[2];
cry(-0.1259) q[5], q[1];
ry(-0.4549) q[6];
cry(0.4962) q[5], q[2];
cry(-0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
91fd701868951eab612ba86420778b2e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [14, 42], "expectation_value": -3.9963046828491047, "params": null, "bitstrings": ["110001", "010101"], "total_optimization_steps": 22, "probabilities": [0.06706466845670207, 0.9295035070622214], "optimization_time": 18.881221771240234} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -2.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["010101", "110100", "110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[1];
ry(-1.4449) q[5];
ry(1.4449) q[4];
ry(1.4449) q[2];
cry(-1.0398) q[0], q[3];
ry(0.6944) q[0];
ry(-0.451) q[3];
cry(0.4963) q[4], q[0];
cry(-0.3778) q[4], q[3];
cry(0.2518) q[2], q[0];
cry(-0.149... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) 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... |
151037f60feb2ab36dd911279333468a | 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": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [84, 100], "expectation_value": -0.06712359090848652, "params": [[0.0461], [-0.034300000000000004]], "bitstrings": ["0101011", "0011011"], "total_optimization_steps": 10, "probabilities": [0.008135781760378756, 0.008135781760378758], "optimization_time": 1.418194055557251} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(5) + -0.5 * Z(0) + -0.5 * Z(6) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["1010110", "0100111", "1100110", "0101011", "0011011", "0010111"]} | 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(0.0461) q[0];
cx q[5], q[0];
cx q[0], q[6];
rz(0.0461) q[6];
cx q[0], q[6];
cx q[5], q[1];
rz(0.0461) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(0.0461) q[2];
cx q[5], q[2];
cx q[1], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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[0], q[6];
rz(x0) q[6];
cx q[0], q[6];
cx q[5], q[1];
rz(... | null | {"circuits": [], "gradients": []} |
0ae9b6f2b61290137ab22e2dafb0c164 | 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": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [0, 20], "expectation_value": -2.9998646495793175, "params": null, "bitstrings": ["11111", "01011"], "total_optimization_steps": 16, "probabilities": [1.9002204009620417e-05, 0.9999182900344906], "optimization_time": 8.843374490737915} | 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(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["11100", "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[1];
ry(-1.4449) q[4];
ry(-1.4449) q[3];
ry(1.4384) q[2];
ry(1.4384) q[0];
cry(-0.1259) q[2], q[3];
cry(-0.1259) q[2], q[4];
cry(0.1248) q[2], q[0];
cry(0.1242) q[0], q[2];
cry(-0.0027) q[2], q[1];
c[0] = me... | 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[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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
8186974217319459903 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 4, 5], [0, 4, 5], [2, 5, 7], [8, 2, 7], [1, 6, 7], [1, 4, 7], [0, 8], [8, 2, 3], [1, 5, 7], [3, 4], [2, 3, 6]]} | {"states": [223, 221], "expectation_value": -1.0235310843913759, "params": [0.8957, -0.0079, 0.8923000000000001, 0.0095, 0.9023, 0.002, 0.8957, 0.0019, 0.9057000000000001, -0.0031000000000000003, 0.8993, 0.0007, 0.9017000000000001, 0.0012000000000000001, 0.8864000000000001, 0.0035, 0.8961, 0.0026000000000000003, 0.893,... | 0.16666666666666666 * (Z(2) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.3333333333333333 * (Z(7) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(5)) + 0.3333333333333333 *... | 6 | 9 | 1 | {"smallest_eigenvalues": [-3.666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.333333333333335, "smallest_bitstrings": ["100100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.8957) q[0];
rz(-0.0079) q[0];
rx(0.9023) q[1];
rz(0.002) q[1];
rx(0.9057) q[2];
rz(-0.0031) q[2];
rx(0.9017) q[3];
rz(0.0012) q[3];
rx(0.8961) q[4];
rz(0.0026) q[4];
rx(0.8952) q[5];
rz(-0.0033) q[5];
rx(0.8954) q[6];
rz(0.0033) q[6];
rx(0.8999) 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": []} |
-1627358426394491181 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 2, 4, 5], [1, 3, 4, 5], [0, 1], [0, 3, 4], [2, 3]]} | {"states": [23, 22], "expectation_value": -1.6650507313531189, "params": null, "bitstrings": ["101000", "101001"], "total_optimization_steps": 29, "probabilities": [0.07055188650374446, 0.7991835619473416], "optimization_time": 31.916983366012573} | 0.08333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(4)) + 0.0833333... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.7500000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7499999999999996, "smallest_bitstrings": ["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];
ry(1.3603) q[4];
cry(-1.0291) q[1], q[0];
ry(0.8548) q[1];
cry(-1.0497) q[3], q[2];
ry(0.821) q[3];
ry(-0.677) q[0];
cry(0.5164) q[4], q[1];
ry(-0.5721) q[2];
cry(0.516) q[4], q[3];
cry(-0.3414) q[4], q[2];
cry(-... | 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(1.3603) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
6fca320040b0afd6ce6e0d65260d44c9 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [850, 852], "expectation_value": -81.58869221021033, "params": [[[-0.0025, -0.002], [3.1436, -0.0025], [0.0022, 0.0029000000000000002], [3.1441000000000003, -0.0031000000000000003], [-0.0028, -0.0037], [0.0584, 3.0824000000000003], [-0.8338, 2.2334], [0.7642, 2.3074], [0.003, 0.7838], [3.1442, -0.0022]]], "b... | 6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(3) @ Z(0)) + 6.5 * (Z(3) @ Z(5)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(8) @ Z(7)) + 3.0 * Z(2) + 15.5 * Z(0) + 8.5 * Z(1) + 22.5 * Z(5) + 2.5 * Z(4) + 16.0 * Z(3)... | 15 | 10 | 1 | {"smallest_eigenvalues": [-108.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -97.5, "smallest_bitstrings": ["0010101011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0025) q[0];
ry(3.1436) q[1];
ry(0.0022) q[2];
ry(3.1441) q[3];
ry(-0.0028) q[4];
ry(0.0584) q[5];
ry(-0.8338) q[6];
ry(0.7642) q[7];
ry(0.003) q[8];
ry(3.1442) 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] x2;
input float[64] x3;
input float[6... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
dab40a2f654e93a72357d226e03c7017 | 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": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [36, 9], "expectation_value": -0.40836207505026845, "params": [[-0.0374, -0.0653], [0.0298, 0.0651]], "bitstrings": ["011011", "110110"], "total_optimization_steps": 10, "probabilities": [0.018687055883544593, 0.018687055883544596], "optimization_time": 3.921252727508545} | 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 | 2 | {"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];
cx q[2], q[0];
rz(-0.0374) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.0374) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.0374) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(-0.0374) q[5];
cx q[0], q[5];
cx q[4], q[5];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0... | null | {"circuits": [], "gradients": []} |
7b9c246532208479e16ead07d0fd9661 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}]} | {"states": [32235, 60795], "expectation_value": -17.66098448294451, "params": [[-0.1652, 0.5148, 0.45320000000000005, 0.6756], [0.32030000000000003, -0.25670000000000004, -0.2089, -0.1217]], "bitstrings": ["1000001000010100", "0001001010000100"], "total_optimization_steps": 90, "probabilities": [0.026877749767131108, 0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(... | 1 | 16 | 4 | {"smallest_eigenvalues": [-20.000000000000043], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999975, "smallest_bitstrings": ["0001001010000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[2], q[0];
rz(-0.1652) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.1652) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.1652) 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[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 3}]}} | {"circuits": [], "gradients": []} |
1a9ed9a666e19120fea8169482f67ae7 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [43604, 43605], "expectation_value": -1.7426841699069815, "params": [[1.5326000000000002, 0.0951, 1.5831000000000002, 0.0921, 1.5508000000000002, 0.0789, 1.6213000000000002, 0.16620000000000001, 1.3334000000000001, 1.6260000000000001, 0.12010000000000001, 1.514, 0.1681, 1.6474, 0.1526, 0.11280000000000001], ... | 0.25 * (Z(0) @ Z(1)) + -0.0009259259259259261 * (Z(2) @ Z(0)) + -0.0009259259259259261 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.00046296296296296303 * (Z(4) @ Z(0)) + -0.0007716049382716049 * (Z(4) @ Z(2)) + -0.00046296296296296303 * (Z(5) @ Z(1)) + -0.0007716049382716049 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.... | 10 | 16 | 1 | {"smallest_eigenvalues": [-2.0219135802468764], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0219135802468267, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(1.5326) q[0];
ry(0.0951) q[1];
ry(1.5831) q[2];
ry(0.0921) q[3];
ry(1.5508) q[4];
ry(0.0789) q[5];
ry(1.6213) q[6];
ry(0.1662) q[7];
ry(1.3334) q[8];
ry(1.626) q[9];
ry(0.1201) q[10];
ry(1.514) q[11];
ry(0.1681) q[12];
ry(1.6474) q[13];
ry(0.1526) 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[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
1d579e37a468bd880bcb1092848cc668 | 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": 1}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 3}, {"capacity": 4, "source": 4, "target": 1... | {"states": [36863, 4095], "expectation_value": -46.70195453057377, "params": [0.38130000000000003, 0.3845, 0.2785, 0.2805, -0.1024, -0.10210000000000001, -0.1433, -0.12300000000000001, 0.6008, 0.5993, 0.6027, 0.6002000000000001, 0.5914, 0.5914, 0.5961000000000001, 0.6002000000000001, 0.6006, 0.5968, 0.5958, 0.599, 0.59... | 0.5 * (Z(0) @ Z(7)) + 2.0 * (Z(8) @ Z(7)) + 1.0 * (Z(8) @ Z(0)) + 1.0 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(0)) + 2.0 * (Z(9) @ Z(8)) + 0.5 * (Z(1) @ Z(7)) + 0.25 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(8)) + 0.5 * (Z(1) @ Z(9)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(8)) + -0.5 * (Z(2) @ Z(9)) + -0.5 * ... | 14 | 16 | 2 | {"smallest_eigenvalues": [-54.249999999999254], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.24999999999843, "smallest_bitstrings": ["1111000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(0.3813) q[0];
ry(0.2785) q[1];
ry(-0.1024) q[2];
ry(-0.1433) q[3];
ry(0.6008) q[4];
ry(0.6027) q[5];
ry(0.5914) q[6];
ry(0.5961) q[7];
ry(0.6006) q[8];
ry(0.5958) q[9];
ry(0.5997) q[10];
ry(0.6006) q[11];
ry(0.5987) q[12];
ry(0.5941) q[13];
ry(0.59) q[14]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
21f200dd0d7ad9302e66f599a04b0df8 | 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": [633, 601], "expectation_value": -112.06125521187789, "params": [0.19940000000000002, 0.2975, -0.0037, 0.5084000000000001, 0.6987, 0.024900000000000002, -0.0001, 0.4077, -0.0035, 0.4531, 0.7007, 0.0234, 0.3854, 0.1768, 0.7020000000000001, 0.0005, 0.6926, 0.112, 0.2841, 0.248, -0.0035, 0.46180000000000004, 0.... | 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(6) @ Z(2)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(0) @ Z(7)) + 7.5 * (Z(8) @ Z(2)) + 7.5 * (Z(8) @ Z(6)) + 7.5 * (Z(9) @ Z(5)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(11) @ Z(7)) + 7.5 * (Z(11) @ Z(0)) + 7.5 * (Z(10) @ Z(11)) + 15.0 * Z(2) + -5.0 * Z(3) + -4.0 * Z(4) + 6.5 * Z(5)... | 18 | 12 | 4 | {"smallest_eigenvalues": [-134.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -113.5, "smallest_bitstrings": ["110110100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.1994) q[0];
rz(0.2975) q[0];
rx(-0.0037) q[1];
rz(0.5084) q[1];
rx(0.6987) q[2];
rz(0.0249) q[2];
rx(-0.0001) q[3];
rz(0.4077) q[3];
rx(-0.0035) q[4];
rz(0.4531) q[4];
rx(0.7007) q[5];
rz(0.0234) q[5];
rx(0.3854) q[6];
rz(0.1768) q[6];
rx(0.702) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
b26977172433627efeffc1ad87824f0f | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [14, 142], "expectation_value": -2.471847329576632, "params": [0.8062, 0.007, 0.1825, -0.3422, -0.0059, 0.40390000000000004, 0.18960000000000002, 0.343, 0.8004, -0.00030000000000000003, 0.8052, -0.0044, 0.811, 0.0012000000000000001, 0.1966, 0.3054, 0.8044, 0.0553, 0.1728, 0.3672, -0.0045000000000000005, 0.25... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + -1.0 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + 0.0 * Z(5) + -0.5 * Z(1) + -0.5 * Z(6) + -0.5 * Z(4) + -0.5 * Z(7) | 4 | 8 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["11100001", "01110001", "01111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.8062) q[0];
rz(0.007) q[0];
rx(0.1825) q[1];
rz(-0.3422) q[1];
rx(-0.0059) q[2];
rz(0.4039) q[2];
rx(0.1896) q[3];
rz(0.343) q[3];
rx(0.8004) q[4];
rz(-0.0003) q[4];
rx(0.8052) q[5];
rz(-0.0044) q[5];
rx(0.811) q[6];
rz(0.0012) q[6];
rx(0.1966) 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": []} |
0d8d9440607c15706cae5380bc7bfd0c | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.019843319254822998, "params": [[0.0745], [-0.0674]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 10, "probabilities": [1.6528059618058752e-05, 1.6528059618058755e-05], "optimization_time": 14.913439512252808} | 0.25 * (Z(0) @ Z(1)) + -0.0008264462809917356 * (Z(2) @ Z(0)) + -0.0008264462809917356 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006714876033057851 * (Z(4) @ Z(0)) + 0.0003099173553719008 * (Z(4) @ Z(2)) + -0.0006714876033057851 * (Z(5) @ Z(1)) + 0.0003099173553719008 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0006... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.023657024793348], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0236570247932675, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(0.0372) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0001) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0001) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(x0) q[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
d250d8f4fdc760c6792fe044aba3c8f3 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 4}, {"weight": 19, "source": 0, "target": 5}, {"weight": 20, "source": 1, "target": 2}, {... | {"states": [124, 122], "expectation_value": -7.546942512638252, "params": [[0.0512], [-0.0603]], "bitstrings": ["10000011", "10000101"], "total_optimization_steps": 10, "probabilities": [0.007027478381782189, 0.007931364925123462], "optimization_time": 1.9312341213226318} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 14.0 * Z(1) + 8.5 * Z(0) + 17.5 * ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-76.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "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(0.4096) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.4096) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.4096) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.4096) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
93141c357d164fcf2a36ba666f8f01e3 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}]} | {"states": [0, 1], "expectation_value": -8.926771063651067, "params": [[[0.08850000000000001, 0.3179], [-0.0037, -0.4335], [-0.0019, 0.43010000000000004], [0.5999, -0.0]], [[0.0804, 0.3179], [-0.0007, -0.435], [-0.0008, 0.4325], [0.5987, -0.0]], [[0.0874, 0.0012000000000000001], [-0.0037, 0.0014], [-0.002, 0.0052000000... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + -4.75 * Z(1) + -4.5 * Z(0) + -4.75 * Z(2) + -4.5 * Z(3) | 1 | 4 | 3 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1110", "0111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(0.0885) q[0];
rz(0.3179) q[0];
rx(-0.0037) q[1];
rz(-0.4335) q[1];
rx(-0.0019) q[2];
rz(0.4301) q[2];
rx(0.5999) q[3];
rz(0) q[3];
rx(0.0804) q[0];
rz(0.3179) q[0];
rx(-0.0007) q[1];
rz(-0.435) q[1];
rx(-0.0008) q[2];
rz(0.4325) q[2];
rx(0.5987) q[3];
rz(0)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} |
f7c0ee1d4c77af9b2736662ef168c92d | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [0, 24], "expectation_value": -11.419829411348436, "params": [1.0738, 0.7481, 0.0025, 0.0024000000000000002, 0.0023, 0.0023, 0.0023, 0.0024000000000000002, 0.006900000000000001, -0.0016, 0.8477, -0.4661, 1.6163, 0.0001, 0.1378, 1.5901, 1.314, 0.0009000000000000001, 1.2875, -0.5773], "bitstrings": ["11111", "... | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.5 * Z(3) + -1.5 * Z(2) + -1.5 * Z(4) | 14 | 5 | 1 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["00111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
ry(1.0738) q[0];
ry(0.0025) q[1];
ry(0.0023) q[2];
ry(0.0023) q[3];
ry(0.0069) q[4];
crx(0.8477) q[4], q[0];
crx(1.2875) q[3], q[4];
crx(1.314) q[2], q[3];
crx(0.1378) q[1], q[2];
crx(1.6163) q[0], q[1];
ry(0.7481) q[0];
ry(0.0024) q[1];
ry(0.0023) q[2];
ry(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 4} | {"circuits": [], "gradients": []} |
aaaa17b825b48009d9b9ccd0d10cc78a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target":... | {"states": [595, 627], "expectation_value": -5.499213461174355, "params": [[1.5818, 0.3148, 0.0028, 1.5843, 0.0037, 1.5886, -0.0027, 0.002, 1.5827, 0.1537], [1.5868, 0.004, 0.0023, 1.5831000000000002, 1.6073000000000002, 1.5852000000000002, -0.0031000000000000003, -0.0029000000000000002, 1.5886, 1.6095000000000002]], "... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.0 * Z(6) + -0.5 * Z(4) + 0.0 * Z(... | 10 | 10 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["0110001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.5818) q[0];
ry(0.3148) q[1];
ry(0.0028) q[2];
ry(1.5843) q[3];
ry(0.0037) q[4];
ry(1.5886) q[5];
ry(-0.0027) q[6];
ry(0.002) q[7];
ry(1.5827) q[8];
ry(0.1537) q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
eaf152c9366c1fc70b9994ec462b6b4c | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [35, 7], "expectation_value": -0.26622867586681165, "params": [[0.0809], [-0.0863]], "bitstrings": ["011100", "111000"], "total_optimization_steps": 10, "probabilities": [0.017896015476972126, 0.018296569483510307], "optimization_time": 1.1363260746002197} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.0 * Z(3) + -1.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["111000", "011100"]} | 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(0.0809) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0809) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.0809) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.0809) q[1];
cx q[2], q[1];
cx q[3], q[1];
rz(0.0809... | 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[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[0... | null | {"circuits": [], "gradients": []} |
685055bd53f01c347f7f2a1d5c7df105 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, ... | {"states": [101, 85], "expectation_value": -3.9991283032043294, "params": null, "bitstrings": ["0011010", "0101010"], "total_optimization_steps": 32, "probabilities": [0.06552859493164183, 0.9338516756549212], "optimization_time": 26.677067279815674} | 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 | 3 | {"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];
ry(-1.5681) q[3];
ry(-1.5681) q[5];
ry(1.4449) q[0];
ry(1.4449) q[4];
ry(1.4449) q[6];
cry(-1.0343) q[2], q[1];
ry(0.7003) q[2];
ry(-0.4549) q[1];
cry(0.4963) q[0], q[2];
cry(-0.3789) q[0], q[1];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) 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", ... |
1a255f6744625db820c74a987d4dbcf8 | 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}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target":... | {"states": [452, 511], "expectation_value": -12.25380968010107, "params": null, "bitstrings": ["000111011", "000000000"], "total_optimization_steps": 100, "probabilities": [0.05233853888910888, 0.38161225992181874], "optimization_time": 236.8794596195221} | -2.0 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + -2.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + -2.5 * (Z(8) @ Z(4)) + -3.0 * (Z(8) @ Z(3)) + -2.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "smallest_bitstrings": ["000000000"]} | 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];
cry(1.5708) q[3], q[8];
cry(1.5709) q[8], q[4];
cry(0.4001) q[8], q[3];
cry(0.0001) q[4], q[3];
ry(-0.3658) q[3];
cry(1.194) q[7], q[3];
cry(1.5708) q[3], q[5];
cry(-1.0733) q[5], q[3];
cr... | null | {"node": 2} | {"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];\ncry(1.5708) q[3], 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... |
c502b67eb6d91d909ba398fa39bec60c | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}]} | {"states": [20, 23], "expectation_value": -3.499934076181417, "params": null, "bitstrings": ["01011", "01000"], "total_optimization_steps": 19, "probabilities": [1.3833501308055688e-05, 0.9999481856908635], "optimization_time": 11.866241693496704} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["01000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5708) q[1];
ry(1.4449) q[4];
ry(1.4449) q[0];
ry(1.4449) q[2];
ry(1.4449) q[3];
cry(0.1187) q[3], q[4];
cry(0.1188) q[4], q[0];
cry(0.1188) q[0], q[2];
cry(0.1186) q[0], q[3];
cry(0.0072) q[0], q[4];
c[0] = measure... | 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(-1.5708) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
-2458627907467398318 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[4, 5], [0, 4], [2, 5], [1, 3]]} | {"states": [37, 49], "expectation_value": -0.04758455393651542, "params": [[-0.0767], [0.079]], "bitstrings": ["011010", "001110"], "total_optimization_steps": 10, "probabilities": [0.017152289806363245, 0.017152289806363245], "optimization_time": 1.774775505065918} | 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(1) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0, "smallest_bitstrings": ["110001", "100101", "001110", "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[5], q[4];
rz(-0.0767) q[4];
cx q[5], q[4];
cx q[4], q[0];
rz(-0.0767) q[0];
cx q[4], q[0];
cx q[5], q[2];
rz(-0.0767) q[2];
cx q[5], q[2];
cx q[3], q[1];
rz(-0.0767) q[1];
cx q[3], q[1];
rz(0) q[5];
rz(0) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[5], q[2];
rz(x0) q[2];
cx q[5], q[2];
cx q[3], q[1];
rz(x0) q... | null | {"circuits": [], "gradients": []} |
abebab5175d0d0d89bf916154d0e1360 | 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": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [24, 38], "expectation_value": -0.09617784498527612, "params": [[-0.040400000000000005], [0.0504]], "bitstrings": ["100111", "011001"], "total_optimization_steps": 10, "probabilities": [0.01626736214014894, 0.016523707015483245], "optimization_time": 1.1791203022003174} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.5 * Z(0) + -2.0 * Z(5) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["011001"]} | 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(-0.0404) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(-0.0404) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.0404) q[5];
cx q[0], q[5];
cx q[5], q[1];
rz(-0.0404) q[1];
cx q[5], q[1];
cx q[5], q[3];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(x0) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(x0) q[5]... | null | {"circuits": [], "gradients": []} |
f222dfb2324275edf5e9240be57dcb14 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, ... | {"states": [77, 109], "expectation_value": -1.834447321600558, "params": [-0.0005, 0.2879, 0.387, 0.24280000000000002, 0.6053000000000001, 0.2876, 0.5991000000000001, 0.1895, 0.40040000000000003, 0.29700000000000004, 0.609, 0.0732, 0.605, -0.002, 0.0019, 0.4567, 0.6069, 0.0009000000000000001, 0.0051, 0.4291000000000000... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(0) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(6)) + -0.125 * (Z(0) @ Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(5) @ Z(6)) + 0.12... | 16 | 9 | 3 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.875, "smallest_bitstrings": ["110010010", "110100010", "101010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0005) q[0];
rz(0.2879) q[0];
rx(0.387) q[1];
rz(0.2428) q[1];
rx(0.6053) q[2];
rz(0.2876) q[2];
rx(0.5991) q[3];
rz(0.1895) q[3];
rx(0.4004) q[4];
rz(0.297) q[4];
rx(0.609) q[5];
rz(0.0732) q[5];
rx(0.605) q[6];
rz(-0.002) q[6];
rx(0.0019) q[7];
rz(0.456... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
ebed2b2f1ddd19051c3f8f1e6db408b8 | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": []} | {"states": [411, 413], "expectation_value": -5.710684425785296, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741881, 0.8578073217068284], "optimization_time": 110.85363268852234} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
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 | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": []}} | {"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... |
081a3ef2a02910794db9cb14b9d27e2c | 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}, {"source": 2, "target": 4}]} | {"states": [10, 12], "expectation_value": -1.9729032350612994, "params": null, "bitstrings": ["10101", "10011"], "total_optimization_steps": 15, "probabilities": [0.07435629520367529, 0.899032607013672], "optimization_time": 7.189026355743408} | 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(2) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["10101", "01110", "11100", "10011", "01011"]} | 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];
ry(-1.4449) q[4];
ry(1.4384) q[1];
cry(-1.0398) q[2], q[3];
ry(0.6944) q[2];
ry(-0.451) q[3];
cry(0.4962) q[1], q[2];
cry(-0.3778) q[1], q[3];
cry(-0.1259) q[1], q[4];
cry(-0.1217) q[1], q[0];
cry(0.112... | 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]... |
a600d047aa28c30c441e2aa233739b7a | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, ... | {"states": [108, 92], "expectation_value": -5.999128330009992, "params": null, "bitstrings": ["0010011", "0100011"], "total_optimization_steps": 36, "probabilities": [0.0655282774722971, 0.9338520119778738], "optimization_time": 50.526609659194946} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * Z(5) + -0.5 * Z(0) + -2.5 * Z(6) + -1.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["0100011", "0010011"]} | 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[6];
ry(-1.5708) q[5];
ry(1.4449) q[4];
ry(1.4449) q[3];
ry(1.4449) q[0];
cry(-1.0342) q[2], q[1];
ry(0.7003) q[2];
ry(-0.4549) q[1];
cry(0.4963) q[0], q[2];
cry(-0.3789) q[0], q[1];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
a4887282391b847c36275b441eb6d545 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": ... | {"states": [4, 20], "expectation_value": -4.619144414788679, "params": [[[0.0006000000000000001, 0.3185], [0.5771000000000001, 0.0026000000000000003], [-0.0051, 0.3224], [0.5805, 0.0012000000000000001], [0.076, -0.24430000000000002], [0.0828, -0.2411]], [[0.0041, 0.32530000000000003], [0.5721, 0.0026000000000000003], [... | 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 | 3 | {"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;
rx(0.0006) q[0];
rz(0.3185) q[0];
rx(0.5771) q[1];
rz(0.0026) q[1];
rx(-0.0051) q[2];
rz(0.3224) q[2];
rx(0.5805) q[3];
rz(0.0012) q[3];
rx(0.076) q[4];
rz(-0.2443) q[4];
rx(0.0828) q[5];
rz(-0.2411) q[5];
rx(0.0041) q[0];
rz(0.3253) q[0];
rx(0.5721) q[1];
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": []} |
68c7da6fdb681219b05150137870d7db | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}]} | {"states": [0, 1], "expectation_value": -2.3647596323705047, "params": [[[0.003, 0.3574], [0.0022, 0.394], [0.0024000000000000002, 0.5555], [0.8064, -0.0038]], [[0.0045000000000000005, 0.0034000000000000002], [0.0034000000000000002, 0.0037], [0.0024000000000000002, 0.0014], [0.8103, 0.0047]]], "bitstrings": ["1111", "1... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + 1.25 * (Z(3) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + 1.25 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["1110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(0.003) q[0];
rz(0.3574) q[0];
rx(0.0022) q[1];
rz(0.394) q[1];
rx(0.0024) q[2];
rz(0.5555) q[2];
rx(0.8064) q[3];
rz(-0.0038) q[3];
rx(0.0045) q[0];
rz(0.0034) q[0];
rx(0.0034) q[1];
rz(0.0037) q[1];
rx(0.0024) q[2];
rz(0.0014) q[2];
rx(0.8103) q[3];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
5335046281359263337 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2, 5, 6], [0, 1, 2, 3], [1, 2, 3, 4, 5, 6, 7], [0, 3, 4, 5, 7], [0, 4, 6]]} | {"states": [151, 215], "expectation_value": -1.1118718900289881, "params": null, "bitstrings": ["01101000", "00101000"], "total_optimization_steps": 50, "probabilities": [0.11972572094177499, 0.6062912021731703], "optimization_time": 83.64941000938416} | 0.13333333333333333 * (Z(0) @ Z(1)) + 0.15714285714285714 * (Z(2) @ Z(1)) + 0.13333333333333333 * (Z(2) @ Z(0)) + 0.07380952380952381 * (Z(5) @ Z(1)) + 0.1 * (Z(5) @ Z(0)) + 0.07380952380952381 * (Z(5) @ Z(2)) + 0.07380952380952381 * (Z(6) @ Z(1)) + 0.21666666666666667 * (Z(6) @ Z(0)) + 0.07380952380952381 * (Z(6) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.173809523809524, -1.173809523809524], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.1738095238095236, "smallest_bitstrings": ["00010010", "00101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.438) q[0];
ry(0.7816) q[5];
cry(0.4491) q[0], q[5];
ry(0.4593) q[3];
cry(-0.413) q[6], q[4];
cry(0.4224) q[0], q[3];
ry(0.333) q[6];
cry(-0.3999) q[1], q[2];
cry(0.2978) q[5], q[3];
cry(-0.33... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.438) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
545bcfb51b62530fdc9be7975a5d5ce0 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [6, 22], "expectation_value": -2.6039865624170027, "params": [[[0.2691, 0.0023], [0.0021000000000000003, 0.009000000000000001], [1.6619000000000002, 0.0032], [0.2723, 0.0], [1.7047, 0.0043], [1.6917, 0.0068000000000000005], [1.2595, 0.0048000000000000004]]], "bitstrings": ["1111001", "1101001"], "total_optim... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(5) + -0.5 * Z(6) + -1.0 * Z(3) + 0.0 * Z(4) + -0.5 * Z(2) | 1 | 7 | 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": ["1111000", "1101001", "0110011", "0101011", "1110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.2691) q[0];
rz(0.0023) q[0];
rx(0.0021) q[1];
rz(0.009) q[1];
rx(1.6619) q[2];
rz(0.0032) q[2];
rx(0.2723) q[3];
rz(0) q[3];
rx(1.7047) q[4];
rz(0.0043) q[4];
rx(1.6917) q[5];
rz(0.0068) q[5];
rx(1.2595) q[6];
rz(0.0048) q[6];
c[0] = measure q[0];
c[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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} |
-4296608395322037532 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 5, 6], [0, 6], [0, 2], [3, 6], [0, 4]]} | {"states": [23, 53], "expectation_value": -0.05391326068230237, "params": [[0.0755], [-0.0811]], "bitstrings": ["1101000", "1001010"], "total_optimization_steps": 10, "probabilities": [0.008676413645516778, 0.00867641364551678], "optimization_time": 0.512974739074707} | 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(0)) + 0.16666666666666666 * Z(5) + 0.16666666666666666 * Z(1) + 0.16666666666666674 * Z(6) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.333333333333333, -2.333333333333333, -2.333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["0010101", "1001010", "1101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[1];
rz(0.0252) q[1];
cx q[5], q[1];
cx q[5], q[6];
rz(0.0252) q[6];
cx q[5], q[6];
cx q[1], q[6];
rz(0.0252) q[6];
cx q[1], q[6];
cx q[6], q[0];
rz(0.0755) q[0];
cx q[6], q[0];
cx q[0], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[5], q[6];
rz(x0) q[6];
cx q[5], q[6];
cx q[1], q[6];
rz(x0) q[6];
cx q[1], q... | null | {"circuits": [], "gradients": []} |
a3571c19d72a014065614d323aff3379 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]} | {"states": [37, 7], "expectation_value": -6.949732949292838, "params": null, "bitstrings": ["011010", "111000"], "total_optimization_steps": 55, "probabilities": [0.10575607167947162, 0.6067362425290842], "optimization_time": 58.45690321922302} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * ... | 16 | 6 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.5708) q[3], q[2];
ry(0.8911) q[3];
cry(-1.5708) q[5], q[1];
ry(0.8231) q[5];
cry(-1.5708) q[4], q[0];
ry(0.8108) q[4];
ry(-0.4168) q[2];
ry(-0.3308) q[1];
cry(-0.3226) q[5], q[0];
cry(0.3922) q[5], q[4];
c... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[3], q[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 ... |
e1ee122704659894b3696f576081a2cf | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 2}, {"weight": 13, "source": 1, "target": 6}, {"weight": 7, "source": 2, "targ... | {"states": [217, 218], "expectation_value": -42.26491461623393, "params": null, "bitstrings": ["100100110", "100100101"], "total_optimization_steps": 100, "probabilities": [0.1663030096086743, 0.18861779229297382], "optimization_time": 174.39323568344116} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 14.5 * Z(1) + 3.0 * Z(0) + 11.0 * ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-23.4164) q[4];
ry(-22.6958) q[7];
cry(-11.1263) q[4], q[7];
ry(27.554) q[2];
cry(-61.8995) q[4], q[2];
ry(3.2544) q[8];
cry(-25.6677) q[4], q[8];
ry(5.6979) q[1];
cry(-2.7186) q[4], q[... | null | {"matching": "perfect", "extra": "{\"n\": 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(-23.4164) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] =... |
36fc1c5be2c91695283e8185a1ebb45b | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [408, 409], "expectation_value": -2.0822914494336993, "params": [0.7050000000000001, 0.6955, 0.6794, 0.6682, 0.2119, 0.2116, 0.0095, 0.011600000000000001, 0.6914, 0.6960000000000001, 0.6741, 0.613, 0.24070000000000003, 0.2424, 0.009000000000000001, -0.0022, 0.4112, 0.40080000000000005, 0.7031000000000001, 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)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(5)) + -0.25 *... | 14 | 9 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.0, "smallest_bitstrings": ["100100110", "100101001", "100010110", "100010011", "010110001", "010101001", "010100110", "010100101", "001100... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.705) q[0];
ry(0.6794) q[1];
ry(0.2119) q[2];
ry(0.0095) q[3];
ry(0.6914) q[4];
ry(0.6741) q[5];
ry(0.2407) q[6];
ry(0.009) q[7];
ry(0.4112) q[8];
crx(0.4871) q[8], q[0];
crx(-0.5241) q[7], q[8];
crx(-0.2284) q[6], q[7];
crx(-0.3507) q[5], q[6];
crx(0.0284... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
1485470735114011253 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 10, 11], [8, 1, 2], [0, 9, 10, 4], [0, 1, 2, 11], [10, 4, 5], [0, 1, 3, 10, 11], [9, 5], [8, 1, 6], [1, 2, 7], [11, 4, 5], [0, 2, 4, 6, 7], [3, 11, 4], [1, 6, 9], [8, 1, 10], [10, 6], [9, 3, 4, 7]]} | {"states": [1183, 3231], "expectation_value": -4.218264652345135, "params": [[[1.6677000000000002, 0.0006000000000000001], [3.1442, 0.0073], [-0.0031000000000000003, 0.0085], [0.0021000000000000003, 0.0056], [3.144, 0.0013000000000000002], [-0.0022, 0.0059], [-0.0021000000000000003, 0.0094], [3.144, 0.0094], [3.1438, 0... | 0.25 * (Z(9) @ Z(10)) + 0.21666666666666667 * (Z(11) @ Z(10)) + 0.16666666666666666 * (Z(11) @ Z(9)) + 0.16666666666666666 * (Z(8) @ Z(10)) + 0.21666666666666667 * (Z(1) @ Z(10)) + 0.16666666666666666 * (Z(1) @ Z(9)) + 0.13333333333333333 * (Z(1) @ Z(11)) + 0.5 * (Z(1) @ Z(8)) + 0.08333333333333333 * (Z(2) @ Z(11)) + 0... | 1 | 12 | 1 | {"smallest_eigenvalues": [-4.233333333333333, -4.233333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.200000000000002, "smallest_bitstrings": ["001101100000", "000001111001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.6677) q[0];
rz(0.0006) q[0];
rx(3.1442) q[1];
rz(0.0073) q[1];
rx(-0.0031) q[2];
rz(0.0085) q[2];
rx(0.0021) q[3];
rz(0.0056) q[3];
rx(3.144) q[4];
rz(0.0013) q[4];
rx(-0.0022) q[5];
rz(0.0059) q[5];
rx(-0.0021) q[6];
rz(0.0094) q[6];
rx(3.144) 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": []} |
4ef5b8ae9f7c2af9940d89976f60e031 | 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": 3, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [0, 1], "expectation_value": -11.133003212153895, "params": [0.0011, 0.5106, 0.0027, 0.37720000000000004, 0.0029000000000000002, -0.5924, 0.0006000000000000001, 0.2275, 0.0028, 0.6007, 0.0026000000000000003, 0.3991, -0.0027, 0.6117, 0.8105, 0.0005, 0.0011, 0.006900000000000001, 0.0029000000000000002, 0.00030... | -0.75 * (Z(0) @ Z(2)) + -1.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(5)) + -1.75 * (Z(4) @ Z(6)) + 0.5 * Z(2) + -0.25 * Z(0) + 1.0 * Z(5) + -0.75 * Z(1) + -1.5 *... | 3 | 8 | 2 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0011) q[0];
rz(0.5106) q[0];
rx(0.0027) q[1];
rz(0.3772) q[1];
rx(0.0029) q[2];
rz(-0.5924) q[2];
rx(0.0006) q[3];
rz(0.2275) q[3];
rx(0.0028) q[4];
rz(0.6007) q[4];
rx(0.0026) q[5];
rz(0.3991) q[5];
rx(-0.0027) q[6];
rz(0.6117) q[6];
rx(0.8105) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
a2ddde559fc9aeb004a8b74765861122 | 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": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "... | {"states": [4095, 3839], "expectation_value": -0.36269418819744953, "params": [[0.0528], [-0.042100000000000005]], "bitstrings": ["000000000000", "000100000000"], "total_optimization_steps": 10, "probabilities": [0.0003143107332215202, 0.0003171108542483962], "optimization_time": 1.8820984363555908} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(10)) + 0.5 * (Z(11) @ Z(10)) + -1.5 * (Z(11) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(8... | 1 | 12 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["000100000000"]} | 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(-0.1584) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1584) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1584) q[2];
cx q[0], q[2];
cx q[5], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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];
cx q[1], q[2];
rz... | {"node": 4} | {"circuits": [], "gradients": []} |
11576eab70c2ec583415b5e8bd58f9e2 | 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": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": ... | {"states": [84, 85], "expectation_value": -2.68756565564366, "params": [0.9841000000000001, 0.2321, -0.0097, 0.5398000000000001, 0.9932000000000001, 0.2508, 0.19360000000000002, 0.4838, 0.9996, -0.0024000000000000002, 0.0024000000000000002, 0.7467, 0.5659000000000001, -0.0032, 0.9798, 0.2472, -0.0103, 0.532600000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(2) @ Z(6) @ Z(3)) ... | 18 | 7 | 3 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["0101010", "1000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.9841) q[0];
rz(0.2321) q[0];
rx(-0.0097) q[1];
rz(0.5398) q[1];
rx(0.9932) q[2];
rz(0.2508) q[2];
rx(0.1936) q[3];
rz(0.4838) q[3];
rx(0.9996) q[4];
rz(-0.0024) q[4];
rx(0.0024) q[5];
rz(0.7467) q[5];
rx(0.5659) q[6];
rz(-0.0032) q[6];
crz(0.0032) q[6], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
a1c773c0b570f64d3c3d3a505084c546 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 3... | {"states": [126, 33], "expectation_value": -3.8937114248327482, "params": [[0.0781, 0.07150000000000001, 0.0738, 0.07250000000000001], [-0.0801, -0.0629, -0.0625, -0.0609]], "bitstrings": ["0000001", "1011110"], "total_optimization_steps": 10, "probabilities": [0.031228791010057443, 0.04806649923775037], "optimization_... | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(1) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * (Z(5) @ Z(3)) + 0.75 * Z(2) + -0.25 * Z(0) + -0.25 * Z(4) + 0.0 * Z(6) + 2.5 *... | 1 | 7 | 4 | {"smallest_eigenvalues": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1011110"]} | 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(-0.1172) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.0391) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.0781) q[4];
cx q[0], q[4];
cx q[2], q[6];
rz(-0.0391) 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": []} |
dca74c4464ee5c0862a21e9a873391f9 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [92, 88], "expectation_value": -2.032849731724801, "params": [0.197, 0.0063, 0.20020000000000002, 0.0064, 0.1862, -0.0056, 0.17800000000000002, -0.004200000000000001, 0.2071, 0.0032, 0.20140000000000002, 0.0035, 0.2068, 0.0007, 0.2013, 0.0009000000000000001, 0.1658, -0.0308, 0.159, -0.030500000000000003, 0.1... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + -0.5 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(6) + -0.5 * Z(5) + 0.0 * Z(2) | 6 | 7 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["1101010", "1100011", "1110001", "0110101", "0011101", "0101110", "0100111", "0001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.197) q[0];
rz(0.0063) q[0];
rx(0.1862) q[1];
rz(-0.0056) q[1];
rx(0.2071) q[2];
rz(0.0032) q[2];
rx(0.2068) q[3];
rz(0.0007) q[3];
rx(0.1658) q[4];
rz(-0.0308) q[4];
rx(0.1729) q[5];
rz(-0.0152) q[5];
rx(0.1928) q[6];
rz(-0.0002) q[6];
crx(-0.1818) 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... | null | {"circuits": [], "gradients": []} |
-2125662797775598836 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 5], [1, 2], [3, 5], [0, 4], [4, 6], [0, 7]]} | {"states": [178, 210], "expectation_value": -0.064572905306229, "params": [[0.07250000000000001], [-0.0756]], "bitstrings": ["01001101", "00101101"], "total_optimization_steps": 10, "probabilities": [0.004431271222022994, 0.004431271222022994], "optimization_time": 0.5092184543609619} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(6) + 0.0 * Z(7) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["00101101", "10110010", "11010010", "01001101"]} | 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[0];
rz(0.0725) q[0];
cx q[5], q[0];
cx q[2], q[1];
rz(0.0725) q[1];
cx q[2], q[1];
cx q[5], q[3];
rz(0.0725) q[3];
cx q[5], q[3];
cx q[0], q[4];
rz(0.0725) q[4];
cx q[0], q[4];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[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[5], q[3];
rz(x0) q[3];
cx q[5], q[3];
cx q[0]... | null | {"circuits": [], "gradients": []} |
5e1f1e75ba04327de43b1491321a7511 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 0, ... | {"states": [129, 1], "expectation_value": -11.430586736234044, "params": null, "bitstrings": ["01111110", "11111110"], "total_optimization_steps": 29, "probabilities": [0.34605958487624006, 0.38668553381417664], "optimization_time": 23.020554780960083} | -0.75 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + 3.25 * (Z(7) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(7)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -1.75 * (Z(5) @ Z(3)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(... | 1 | 8 | 4 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[7];
ry(-1.5577) q[0];
ry(-1.5708) q[3];
ry(-1.5708) q[2];
ry(-1.5709) q[5];
ry(-1.5708) q[4];
cry(1.4449) q[1], q[6];
ry(-0.7083) q[6];
ry(-0.4951) q[1];
cry(-0.6921) q[7], q[6];
cry(... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
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