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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1757333306802728554 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[5, 6, 7], [3, 4], [0, 1, 7], [1, 2, 4, 6], [3, 5], [4, 5], [0, 3], [1, 5], [1, 2, 6, 7], [2, 3, 7]]} | {"states": [173, 91], "expectation_value": -1.117810441413856, "params": [[0.3143], [-0.31820000000000004]], "bitstrings": ["01010010", "10100100"], "total_optimization_steps": 40, "probabilities": [0.01320421567631361, 0.013301358180330423], "optimization_time": 2.776038885116577} | 0.16666666666666666 * (Z(5) @ Z(6)) + 0.25 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.08333333333333333 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(3)) + 0.16666666666666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.9166666666666665, "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[5];
rz(0.1048) q[5];
cx q[6], q[5];
cx q[6], q[7];
rz(0.1572) q[7];
cx q[6], q[7];
cx q[5], q[7];
rz(0.1048) q[7];
cx q[5], q[7];
cx q[5], q[3];
rz(0.3143) q[3];
cx q[5], q[3];
cx q[7],... | 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[5];
rz(x0) q[5];
cx q[6],... | null | {"circuits": [], "gradients": []} |
ddcd97e6264d17abe214a40d21cdb7fd | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "... | {"states": [0, 4064], "expectation_value": -44.64602345978596, "params": [[[-0.0024000000000000002, 0.0027], [0.0025, 0.0048000000000000004], [0.0024000000000000002, 0.0097], [0.0022, 0.0004], [0.0025, 0.0046], [0.0024000000000000002, 0.0006000000000000001], [1.5956000000000001, 0.0086], [-0.0019, 0.0038], [0.002, 0.00... | -3.5 * (Z(0) @ Z(1)) + -3.5 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(0)) + 1.5 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(0)) + -3.5 * (Z(3) @ Z(2)) + 1.5 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(2)) + -3.0 * (Z(4) @ Z(3)) + -3.0 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + 1.5 * (Z(5) @ Z(2)) + -3.5 * (Z(5) @ Z(3)) + 1.... | 2 | 12 | 1 | {"smallest_eigenvalues": [-48.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -47.5, "smallest_bitstrings": ["000000011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.0024) q[0];
rz(0.0027) q[0];
rx(0.0025) q[1];
rz(0.0048) q[1];
rx(0.0024) q[2];
rz(0.0097) q[2];
rx(0.0022) q[3];
rz(0.0004) q[3];
rx(0.0025) q[4];
rz(0.0046) q[4];
rx(0.0024) q[5];
rz(0.0006) q[5];
rx(1.5956) q[6];
rz(0.0086) q[6];
rx(-0.0019) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 12} | {"circuits": [], "gradients": []} |
ecdfa6719727c874685bdf2e4be77fdf | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 6}, {"weight": 12, "source": 1, "target": 2}, {"weight": 1, "source": 2, "targ... | {"states": [222, 218], "expectation_value": -62.52276879654506, "params": [0.2421, 0.2942, 0.7857000000000001, -0.0074, 0.7952, 0.1495, 0.18680000000000002, 0.3254, 0.7892, -0.00030000000000000003, 0.7949, 0.11460000000000001, 0.35810000000000003, 0.2731, 0.7854, 0.1145, 0.3073, 0.29610000000000003, 0.25, 0.29200000000... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(7)) + 13.0 * Z(1) + 4.0 * Z(0) + 10.5 * ... | 18 | 9 | 4 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.2421) q[0];
rz(0.2942) q[0];
rx(0.7857) q[1];
rz(-0.0074) q[1];
rx(0.7952) q[2];
rz(0.1495) q[2];
rx(0.1868) q[3];
rz(0.3254) q[3];
rx(0.7892) q[4];
rz(-0.0003) q[4];
rx(0.7949) q[5];
rz(0.1146) q[5];
rx(0.3581) q[6];
rz(0.2731) q[6];
rx(0.7854) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
d7a525ce4c2e3aa682dbfbc5ee640032 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [14, 7], "expectation_value": -12.663390479843464, "params": null, "bitstrings": ["1110001", "1111000"], "total_optimization_steps": 63, "probabilities": [0.10630209494910714, 0.6109519875068035], "optimization_time": 117.91502904891968} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 11 | 7 | 4 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5577) q[0];
cry(-1.5708) q[5], q[1];
ry(0.7803) q[5];
cry(-1.5708) q[6], q[3];
ry(0.8783) q[6];
cry(-1.5708) q[4], q[2];
ry(0.9091) q[4];
ry(-0.4292) q[2];
ry(-0.3823) q[3];
ry(-0.3041) q[1];
cry(0.... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5577) q[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", ... |
e8296167f84310609970082b9ef1dbb3 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [109, 108], "expectation_value": -4.245755804249992, "params": [0.045000000000000005, -0.0199, 0.8969, -0.0024000000000000002, 0.9073, 0.0012000000000000001, 0.4491, -0.0011, 0.8987, 0.001, 0.9034000000000001, -0.0045000000000000005, -0.0082, 0.2474, 0.6979000000000001, -0.1292, 0.0386, 0.0199, 0.8987, 0.002... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(3) + -0.5 * Z(4) + -2.0 * Z(6) + -0.5 * Z... | 4 | 8 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["10010011", "10010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.045) q[0];
rz(-0.0199) q[0];
rx(0.8969) q[1];
rz(-0.0024) q[1];
rx(0.9073) q[2];
rz(0.0012) q[2];
rx(0.4491) q[3];
rz(-0.0011) q[3];
rx(0.8987) q[4];
rz(0.001) q[4];
rx(0.9034) q[5];
rz(-0.0045) q[5];
rx(-0.0082) q[6];
rz(0.2474) q[6];
rx(0.6979) 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": []} |
0b4befd1b6021b98538c021e6b01d7d2 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 4}, {"weight": 19, "source": 1, "target": 2}, {... | {"states": [218, 122], "expectation_value": -17.994830763627302, "params": [[-0.0396, -0.0122], [0.0765, 0.06860000000000001]], "bitstrings": ["00100101", "10000101"], "total_optimization_steps": 10, "probabilities": [0.012761254768758959, 0.01572499972449494], "optimization_time": 3.127408504486084} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 9.0 * Z(0) + 6.5 * Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.3168) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3168) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3168) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.3168) q[3];
cx q[0], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
7f5a9dfb1e236bee4145d5b6dc87f612 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 5}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [59, 91], "expectation_value": -4.401448812355782, "params": [[0.1257, 0.298, 0.4153], [-0.5106, -0.20800000000000002, -0.16840000000000002]], "bitstrings": ["11000100", "10100100"], "total_optimization_steps": 60, "probabilities": [0.04589096095767242, 0.04589096095767243], "optimization_time": 6.0859858989... | -0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -1.0 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(0) @ Z(5)) + -1.0 * (Z(0) @ Z(6)) + -0.5 * Z(1) + 1.5 * Z(5) + -0.5 * Z(2) + 3.0 * Z(6) + 0.5 * Z(3) + 0.0... | 1 | 8 | 3 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["10100100", "11000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
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[5];
rz(-0.1257) q[5];
cx q[1], q[5];
cx q[1], q[2];
rz(0.1257) q[2];
cx q[1], q[2];
cx q[5], q[2];
rz(-0.1257) q[2];
cx q[5], q[2];
cx q[1], q[6];
rz(-0.2514) q[6];
cx q[1], q[6];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
b426b8aff164c6823b185eb6b091738d | 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": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [24, 28], "expectation_value": -2.1903223814105304, "params": [0.19590000000000002, -0.001, 0.3971, 0.0005, 0.4031, 0.0015, 0.40130000000000005, 0.0151, 0.1942, 0.1198, 0.1363, 0.1534, 0.2008, 0.001, 0.39990000000000003, 0.0009000000000000001, 0.4035, 0.0074, 0.4076, 0.0079, 0.18560000000000001, 0.1133000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(5) + -1.0 * Z(4) + -0.5 * Z(3) | 4 | 6 | 4 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.1959) q[0];
rz(-0.001) q[0];
rx(0.3971) q[1];
rz(0.0005) q[1];
rx(0.4031) q[2];
rz(0.0015) q[2];
rx(0.4013) q[3];
rz(0.0151) q[3];
rx(0.1942) q[4];
rz(0.1198) q[4];
rx(0.1363) q[5];
rz(0.1534) q[5];
crx(-0.3697) q[5], q[4];
crx(-0.3826) q[4], q[3];
crx(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": []} |
a887d91f9606dc8ffadccd46fa1ed57b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 2}, {"capaci... | {"states": [48, 17], "expectation_value": -8.89110653955197, "params": null, "bitstrings": ["001111", "101110"], "total_optimization_steps": 28, "probabilities": [0.09024375903515425, 0.8025197132661654], "optimization_time": 17.861045360565186} | -1.5 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + 3.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(3)) + -2.0 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 1.5 * Z(5) + 1.0 * Z(1) + -0.75 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[2];
cry(-1.5708) q[5], q[0];
ry(1.0979) q[5];
ry(-0.2074) q[0];
cry(1.5574) q[5], q[1];
cry(-0.1484) q[1], q[0];
cry(-0.0982) q[1], q[5];
ry(-1.5486) q[4];
cry(0.3028) q[3], q[5];
ry(-1.2682) q[3];
... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[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... |
6998245398537875737 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3, 7], [0, 3, 4, 5], [1, 5, 7], [1, 2, 5, 6], [0, 1, 2, 4, 6, 7], [1, 2, 3, 4, 5]]} | {"states": [173, 175], "expectation_value": -1.502542327291505, "params": null, "bitstrings": ["01010010", "01010000"], "total_optimization_steps": 43, "probabilities": [0.1511170020305729, 0.7712215313170968], "optimization_time": 75.28465056419373} | 0.21666666666666667 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.19999999999999998 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(3)) + 0.03333333333333333 * (Z(0) @ Z(2)) + 0.03333333333333333 * (Z(0) @ Z(7)) + 0.13333333333333333 * (Z(4) @ Z(3)) + 0.08333333333333334 * (Z(4) @ Z(2)) + 0.03333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.533333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.4833333333333332, "smallest_bitstrings": ["01010000"]} | 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(1.4576) q[5];
ry(1.2464) q[2];
cry(0.2736) q[5], q[2];
cry(-0.4592) q[7], q[1];
ry(0.5325) q[4];
cry(0.4103) q[2], q[4];
cry(-0.5044) q[7], q[3];
ry(0.4324) q[7];
cry(-0.4967) q[4], q[3];
cry(0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4576) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
6e936c9031f4ef335042a74fa41c3e34 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 3, "target": 2}, {"capacity": 2, "source": 3, "target": 6... | {"states": [47, 63], "expectation_value": -2.8540203722133364, "params": null, "bitstrings": ["1010000", "1000000"], "total_optimization_steps": 37, "probabilities": [0.2088511956890643, 0.2100965666861345], "optimization_time": 26.686234951019287} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(2) @ Z(3)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + 0.0 * Z(4) + -0.25 * Z(0) + 0.25 * Z(5) + 0.5 * Z(3) + -0.5 * Z(2) + 0.25 * Z(6) + -0.25 * Z(1) | 1 | 7 | 4 | {"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": ["1111100", "1111110", "1100010", "1100000", "1100110", "1100100", "1000100", "1011100", "1010100", "1000000", "... | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.5486) q[6], q[0];
ry(1.035) q[6];
ry(1.5566) q[3];
cry(-0.4546) q[3], q[0];
cry(0.3664) q[3], q[6];
ry(-0.2379) q[0];
cry(1.0298) q[1], q[5];
cry(0.1269) q[5], q[6];
cry(0.6734) q[3], q[4];
ry(0.39... | 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(-1.5486) 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... |
3107872193623353780 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 1], [0, 9, 5], [8, 2, 6], [1, 3, 4], [1, 4, 7], [8, 3, 5], [1, 4, 5], [1, 6], [8, 4, 5], [2, 5], [8, 2, 4], [3, 4, 5], [0, 3, 4], [3, 5, 7], [8, 3, 6]]} | {"states": [63, 575], "expectation_value": -4.499893252236602, "params": [0.2928, 1.29, 0.0027, 0.0025, 0.0026000000000000003, 0.0027, -0.0025, -0.0025, 1.4089, 1.7273, 1.4917, 1.6471, 1.5684, 1.5686, 1.5708, 1.5754000000000001, 1.5866, 1.5608, 1.5734000000000001, 1.5735000000000001, -0.0011, -0.0752, 0.0016, 0.0015, 2... | 0.5 * (Z(9) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(9)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(9)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.3333333333333333 * (Z(8) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.3333333333333333 * (Z(2) @ Z(8)) + 0.5 * (Z(6) @ Z(1)) + 0.3333333333333333 * (Z(6) @... | 14 | 10 | 1 | {"smallest_eigenvalues": [-4.499999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.499999999999997, "smallest_bitstrings": ["0111000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.2928) q[0];
ry(0.0027) q[1];
ry(0.0026) q[2];
ry(-0.0025) q[3];
ry(1.4089) q[4];
ry(1.4917) q[5];
ry(1.5684) q[6];
ry(1.5708) q[7];
ry(1.5866) q[8];
ry(1.5734) q[9];
crx(-0.0011) q[9], q[0];
crx(0.7994) q[8], q[9];
crx(0.002) q[7], q[8];
crx(-0.0021) 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": []} |
-5806664385067794631 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 5], [1, 3], [1, 2], [4, 6]]} | {"states": [33, 35], "expectation_value": -1.6230628524505784, "params": null, "bitstrings": ["1011110", "1011100"], "total_optimization_steps": 45, "probabilities": [0.11461247365601185, 0.50624209710057], "optimization_time": 47.84106516838074} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.16666666666666674 * Z(1) + 0.16666666666666666 * Z(0) + 0.16666666666666666 * Z(5) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.5000000000000002, "smallest_bitstrings": ["1011100", "0100100", "0011110", "0011011", "1011001", "01000... | 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[3];
ry(0.971) q[1];
cry(-1.3758) q[1], q[2];
ry(-0.6611) q[3];
cry(-1.0342) q[6], q[4];
ry(0.7003) q[6];
cry(0.3516) q[6], q[1];
ry(-0.4549) q[4];
cry(0.471) q[1], q[6];
cry(-0.3589) ... | 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[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... |
d32bae70887cbda0fd64e6ae105154d4 | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 7}, {"source": 2, "target": 5}, {"source": 2, "ta... | {"states": [43, 299], "expectation_value": -2.16831351463128, "params": [[[1.6166, 0.0073], [0.45980000000000004, 0.009000000000000001], [0.446, 0.0018000000000000002], [1.7048, 0.0058000000000000005], [0.45120000000000005, 0.0035], [1.7035, 0.0006000000000000001], [-0.0021000000000000003, 0.0038], [1.7084000000000001,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(8) @ Z(1)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(3) @ Z(7)) + 0.0625 * (Z(8) @ Z(3)) + 0.0625 * (Z(6) @ Z(5)) + 0.0625 * (Z(7) @ Z(5)) + 0.0625 * (Z(8) @ Z(5)) + 0.0625 * (Z(6... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5625, "smallest_bitstrings": ["011010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.6166) q[0];
rz(0.0073) q[0];
rx(0.4598) q[1];
rz(0.009) q[1];
rx(0.446) q[2];
rz(0.0018) q[2];
rx(1.7048) q[3];
rz(0.0058) q[3];
rx(0.4512) q[4];
rz(0.0035) q[4];
rx(1.7035) q[5];
rz(0.0006) q[5];
rx(-0.0021) q[6];
rz(0.0038) q[6];
rx(1.7084) 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": []} |
7e10b313c0e966d78a431e218b1e1e89 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 16, "source": 1, "target": 5}, {"weight": 17, "source": 1, "tar... | {"states": [238, 234], "expectation_value": -32.091566108101496, "params": [[-0.0385, -0.0013000000000000002, 0.0064], [0.0787, 0.07200000000000001, 0.0648]], "bitstrings": ["100010001", "100010101"], "total_optimization_steps": 10, "probabilities": [0.011566041869427727, 0.014312121287295792], "optimization_time": 6.4... | 4.5 * (Z(0) @ 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(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(7)) + 13.0 * Z(1) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-88.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.3465) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.3465) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.3465) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.3465) q[3];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
f20b14ccaf46fd91ed39b9c05edbe906 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target"... | {"states": [2, 3], "expectation_value": -4.305500873124692, "params": [[[0.1923, -0.1963], [0.19, 0.201], [0.19240000000000002, 0.1981], [0.6047, 0.0013000000000000002], [0.5946, 0.0013000000000000002]], [[0.1917, -0.19640000000000002], [0.1948, 0.201], [0.1951, 0.1981], [0.6032000000000001, 0.0013000000000000002], [0.... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -3.0 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "11001", "10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.1923) q[0];
rz(-0.1963) q[0];
rx(0.19) q[1];
rz(0.201) q[1];
rx(0.1924) q[2];
rz(0.1981) q[2];
rx(0.6047) q[3];
rz(0.0013) q[3];
rx(0.5946) q[4];
rz(0.0013) q[4];
rx(0.1917) q[0];
rz(-0.1964) q[0];
rx(0.1948) q[1];
rz(0.201) q[1];
rx(0.1951) q[2];
rz(0.19... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
ad5e16c647b3e8afeeb51cea63283747 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [19, 26], "expectation_value": -4.489065531693061, "params": null, "bitstrings": ["1101100", "1100101"], "total_optimization_steps": 33, "probabilities": [0.06023648174640777, 0.864537407937387], "optimization_time": 29.99935030937195} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + -2.0 * Z(4) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(1) + -0.5 * Z(2) + -1.0 * Z(6) + -0.5 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100101", "0010111", "0100111", "1101100", "0101110"]} | 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[4];
ry(-1.5681) q[1];
ry(1.4449) q[2];
cry(-1.0343) q[3], q[6];
cry(-1.0342) q[5], q[0];
ry(0.7003) q[3];
ry(0.7003) q[5];
ry(-0.4549) q[6];
cry(0.4963) q[2], q[3];
ry(-0.4549) q[0];
cry(0.4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
3c25f4733a6ff92642f47c1f75f8c86b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [53, 55], "expectation_value": -70.25380963061562, "params": [[[0.6755, 0.1057], [0.2931, 0.15510000000000002], [0.1623, 0.0863], [0.46990000000000004, 0.3012], [0.6264000000000001, 0.5228], [-0.0453, 0.53], [0.676, 0.2519], [-0.022000000000000002, 0.5088], [0.5964, 0.4859]], [[0.13240000000000002, 0.0767], ... | 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(1) @ Z(6)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(4) @ Z(6)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(5)) + 12.5 * Z(3) + 0.5 * Z(2) + 21.5 * Z(6) + 2.0 * Z(1) + 15.5 * Z(4) + 13.5 * Z(5... | 15 | 9 | 4 | {"smallest_eigenvalues": [-94.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.0, "smallest_bitstrings": ["111001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.6755) q[0];
ry(0.2931) q[1];
ry(0.1623) q[2];
ry(0.4699) q[3];
ry(0.6264) q[4];
ry(-0.0453) q[5];
ry(0.676) q[6];
ry(-0.022) q[7];
ry(0.5964) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
42c8a30369b7a75bc5bed2e6569b1f7f | 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": 4, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [200, 55], "expectation_value": -4.749699027054112, "params": [[0.0024000000000000002, 0.0025, -0.0022, -0.3163, -0.23670000000000002, 0.0054, 0.0027, -0.0024000000000000002], [0.0027, -0.003, 0.0024000000000000002, 0.7685000000000001, 0.7788, 0.0025, -0.0001, 0.0027], [0.9111, 0.4718, 0.7768, -0.0131, 0.0, ... | -1.0 * (Z(0) @ Z(1)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + 1.75 * (Z(7) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(5)) + -1.25 * (Z(3) @ Z(7)) + -2.5 * (Z(3) @ Z(2)) + -0.75 * (Z(6) @ Z(7)) + -2.75 * Z(1) + -0.25 * Z(0) + 0.0 * Z(5)... | 9 | 8 | 4 | {"smallest_eigenvalues": [-15.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.75, "smallest_bitstrings": ["11001000"]} | 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];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(0.0024) q[0];
rx(0.0025) q[1];
rx(-0.0022) q[2];
rx(-0.3163) q[3];
rx(-0.2367) q[4];
rx(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
e4c65d82be0d39aa5a43dd21b25413c9 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [52, 22], "expectation_value": -3.9964641631107405, "params": null, "bitstrings": ["001011", "101001"], "total_optimization_steps": 25, "probabilities": [0.06634837994155196, 0.9303663571669202], "optimization_time": 19.11318826675415} | 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(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -1.0 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -0.5 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001011", "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(-1.5708) q[2];
ry(-1.5681) q[5];
ry(1.4449) q[3];
ry(1.4449) q[1];
cry(-1.0343) q[4], q[0];
ry(0.7003) q[4];
ry(-0.4549) q[0];
cry(0.4963) q[3], q[4];
cry(-0.3789) q[3], q[0];
cry(0.2489) q[1], q[4];
cry(-0.14... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
1c92797ebdc5766ffafd498d21cf8a8a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": ... | {"states": [174, 238], "expectation_value": -2.1535908858073833, "params": [0.5343, 0.7601, 1.3123, 0.2758, 0.9559000000000001, 0.2192, 1.5008000000000001, 0.5366000000000001, -0.0043, 1.0023, 1.4944000000000002, -0.1301, 1.4987000000000001, 0.0351, 1.498, -0.3659, 0.093, -0.7166, 0.5252, 0.0047, 1.3062, 0.002900000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(0) @ Z(3) ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.125, "smallest_bitstrings": ["010010100", "100010001", "001100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.5343) q[0];
rz(0.7601) q[0];
rx(1.3123) q[1];
rz(0.2758) q[1];
rx(0.9559) q[2];
rz(0.2192) q[2];
rx(1.5008) q[3];
rz(0.5366) q[3];
rx(-0.0043) q[4];
rz(1.0023) q[4];
rx(1.4944) q[5];
rz(-0.1301) q[5];
rx(1.4987) q[6];
rz(0.0351) q[6];
rx(1.498) 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": []} |
d7a525ce4c2e3aa682dbfbc5ee640032 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [70, 7], "expectation_value": -5.18275185159872, "params": [[0.0351, 0.0267, 0.036000000000000004, -0.0427], [-0.0393, -0.030100000000000002, -0.0408, -0.0129]], "bitstrings": ["0111001", "1111000"], "total_optimization_steps": 10, "probabilities": [0.013774462179726948, 0.01448654178775913], "optimization_t... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 10 | 7 | 4 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
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(0.158) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.158) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.158) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.158) q[3];
cx q[1], q[3];
cx q[0], 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": 4} | {"circuits": [], "gradients": []} |
93141c357d164fcf2a36ba666f8f01e3 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [22, 25], "expectation_value": -0.14032525298537663, "params": [[-0.046, -0.0409, -0.06420000000000001], [0.0627, 0.0468, 0.060500000000000005]], "bitstrings": ["01001", "00110"], "total_optimization_steps": 10, "probabilities": [0.039945441608169936, 0.03994544160816994], "optimization_time": 4.088207006454... | 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(3)) + 0.5 * (Z(2) @ Z(4)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["00110", "01001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.023) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.023) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.023) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.023) q[0];
cx q[1], q[0];
cx q[2], q[1];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] ... | null | {"circuits": [], "gradients": []} |
b8aaab24da0004c3e40ded7e0da30763 | 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": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [62338, 62337], "expectation_value": -5.4066946401676494, "params": [[[0.23140000000000002, 0.3437], [0.6971, 0.6159], [0.6992, 0.4974], [0.6995, 0.5283], [-0.0009000000000000001, 0.4534], [-0.0012000000000000001, -0.0047], [0.7060000000000001, -0.0012000000000000001], [0.7065, 0.0027], [0.6990000000000001, ... | 0.4444444444444444 * (Z(0) @ Z(1)) + 0.4444444444444444 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(14)) + 1.0 * (Z(15) @ Z(14)) + 0.5 * (Z(15) @ Z(4)) + 0.5 * (Z(5) @ Z(14)) + 0.4444444444444444 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(15)) + -0.5 * (Z(9) @ Z(14)) + -0.5 * (Z(9) @ Z(4)) + -0.5 * (Z(9) @ Z(15)) + -0.5 * (Z(9) @ Z(5)) +... | 15 | 16 | 3 | {"smallest_eigenvalues": [-7.722222222222156], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.722222222222141, "smallest_bitstrings": ["0000110001111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(0.2314) q[0];
ry(0.6971) q[1];
ry(0.6992) q[2];
ry(0.6995) q[3];
ry(-0.0009) q[4];
ry(-0.0012) q[5];
ry(0.706) q[6];
ry(0.7065) q[7];
ry(0.699) q[8];
ry(-0.0026) q[9];
ry(-0.0025) q[10];
ry(-0.0531) q[11];
ry(-0.0028) q[12];
ry(-0.0028) q[13];
ry(0.6733) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
e2d42d54466cad0e47a576fec07e2be9 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, ... | {"states": [140, 156], "expectation_value": -1.3152542251782204, "params": [1.6011, 0.0098, 1.2758, 0.0088, 0.0025, 0.009300000000000001, 1.5984, 0.007200000000000001, 1.6128, 0.0047, 1.6024, 0.006500000000000001, 0.55, 0.0034000000000000002, 0.5601, 0.0041, 0.0045000000000000005, 0.0017000000000000001, 0.0068000000000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(0) @ Z(2) @ Z(3)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(1) @ Z(3) @ Z(4)) + -0.125 * (Z(1) @ Z(3) ... | 16 | 8 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.375, "smallest_bitstrings": ["10101001", "10100110", "01100110", "01101001", "01100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.6011) q[0];
rz(0.0098) q[0];
rx(1.2758) q[1];
rz(0.0088) q[1];
rx(0.0025) q[2];
rz(0.0093) q[2];
rx(1.5984) q[3];
rz(0.0072) q[3];
rx(1.6128) q[4];
rz(0.0047) q[4];
rx(1.6024) q[5];
rz(0.0065) q[5];
rx(0.55) q[6];
rz(0.0034) q[6];
rx(0.5601) q[7];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-3852382582543882751 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[8, 3, 7], [8, 6, 7], [0, 8, 4], [1, 5, 9, 7], [9, 6, 7], [1, 10, 2, 7], [8, 10, 2, 5], [4, 6], [0, 7], [9, 2], [10, 3, 5]]} | {"states": [623, 111], "expectation_value": -3.4543268445081354, "params": [0.3617, 0.0058000000000000005, 0.0017000000000000001, 0.0061, 1.3995, -0.3801, 1.4005, 0.0056, 0.8522000000000001, -0.0201, 0.057800000000000004, 0.003, 1.1276000000000002, 0.0261, 0.38480000000000003, 0.0018000000000000002, 1.3980000000000001,... | 0.16666666666666666 * (Z(8) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.3333333333333333 * (Z(7) @ Z(8)) + 0.16666666666666666 * (Z(6) @ Z(8)) + 0.3333333333333333 * (Z(6) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(8)) + 0.5 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(6)) + 0.1666666666... | 6 | 11 | 1 | {"smallest_eigenvalues": [-3.833333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.666666666666667, "smallest_bitstrings": ["11110010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.3617) q[0];
rz(0.0058) q[0];
rx(1.3995) q[1];
rz(-0.3801) q[1];
rx(0.8522) q[2];
rz(-0.0201) q[2];
rx(1.1276) q[3];
rz(0.0261) q[3];
rx(1.398) q[4];
rz(-0.1163) q[4];
rx(1.3961) q[5];
rz(-0.0972) q[5];
rx(0.6604) q[6];
rz(-0.0414) q[6];
rx(1.3987) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
b2edf981a9c05ff141b468ab5531d2c7 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [35, 11], "expectation_value": -0.18462700711110194, "params": [[0.0345, -0.054200000000000005, -0.055400000000000005], [-0.0733, 0.0329, 0.055400000000000005]], "bitstrings": ["011100", "110100"], "total_optimization_steps": 10, "probabilities": [0.018441762481360608, 0.01844176248136061], "optimization_tim... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5) + -1.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["011100", "110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0345) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0345) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.0345) q[4];
cx q[1], q[4];
cx q[1], q[5];
rz(0.0345) q[5];
cx q[1], q[5];
cx q[2], q[3];
rz(0.0345... | 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": []} |
7581b63ad8d9f7a2c5d263f270fd5876 | 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": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 1, "target": 8}, {"source": 2, "target":... | {"states": [570, 574], "expectation_value": -2.5874460476025964, "params": [0.8045, 0.8041, 0.0753, 0.07780000000000001, 0.11080000000000001, 0.1153, 0.4385, 0.4384, 0.7997000000000001, 0.8057000000000001, 0.8064, 0.7999, 0.812, 0.8089000000000001, 0.8022, 0.8013, 0.8108000000000001, 0.8046000000000001, 0.095, 0.097300... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(7) @ Z(9)) + -1.0 * Z(3) + 0.0 * Z(0) + -1.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(8) + -1.0 * Z(2) + 0.0 * Z(5) + -1.0 * Z(9) + 0.0 * Z(4) + 0... | 13 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["0101010001", "1110000001", "0111000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.8045) q[0];
ry(0.0753) q[1];
ry(0.1108) q[2];
ry(0.4385) q[3];
ry(0.7997) q[4];
ry(0.8064) q[5];
ry(0.812) q[6];
ry(0.8022) q[7];
ry(0.8108) q[8];
ry(0.095) q[9];
crz(-0.3223) q[9], q[0];
crz(-0.002) q[8], q[9];
crz(-0.0038) q[7], q[8];
crz(0.0012) q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
3179afe1dc957b5c6c41286c03203dc8 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [25, 38], "expectation_value": -0.02925957834555032, "params": [[0.022500000000000003], [-0.0304]], "bitstrings": ["1100110", "1011001"], "total_optimization_steps": 10, "probabilities": [0.007951644914934676, 0.007973144668126117], "optimization_time": 1.2402796745300293} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + -1.5 * Z(6) + 0.0 * Z(2) + -0.5 * Z(3) + -0.5 * 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": ["1101001", "1011001", "1100110", "0101011", "1100101", "0100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0225) q[0];
cx q[1], q[0];
cx q[0], q[5];
rz(0.0225) q[5];
cx q[0], q[5];
cx q[1], q[6];
rz(0.0225) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz(0.0225) q[6];
cx q[0], q[6];
cx q[5], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5]... | null | {"circuits": [], "gradients": []} |
7e345cf111467ff8f80e9eb960cc5714 | 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": [760, 728], "expectation_value": -70.01830550466816, "params": [0.7040000000000001, -0.0012000000000000001, 0.3894, -0.0949, 0.6936, 0.0059, 0.7032, -0.031100000000000003, 0.5309, -0.1457, 0.6937, 0.021400000000000002, 0.7000000000000001, -0.0044, 0.041800000000000004, -0.30510000000000004, -0.0155, 0.3579, ... | 7.5 * (Z(0) @ Z(2)) + 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(3) @ Z(5)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(8) @ Z(5)) + 7.5 * (Z(9) @ Z(2)) + 17.5 * Z(2) + 10.0 * Z(0) + 1.5 * Z(1) + 14.5 * Z(5) + 4.0 * Z(4) + 9.5 * Z(3) + -5.5 * Z(7) + -1.5 * Z(6) + -4.0 * Z(8) +... | 4 | 10 | 3 | {"smallest_eigenvalues": [-98.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.0, "smallest_bitstrings": ["0100100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.704) q[0];
rz(-0.0012) q[0];
rx(0.3894) q[1];
rz(-0.0949) q[1];
rx(0.6936) q[2];
rz(0.0059) q[2];
rx(0.7032) q[3];
rz(-0.0311) q[3];
rx(0.5309) q[4];
rz(-0.1457) q[4];
rx(0.6937) q[5];
rz(0.0214) q[5];
rx(0.7) q[6];
rz(-0.0044) q[6];
rx(0.0418) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
dbf0509ba0f23922e87c12c75c80edad | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 3, "ta... | {"states": [60, 124], "expectation_value": -4.091936796487786, "params": [[[-0.0025, 0.0098], [-0.0018000000000000002, 0.009300000000000001], [-1.6298000000000001, 0.006500000000000001], [3.1512000000000002, 0.0036000000000000003], [3.1436, 0.006], [3.1395, 0.0015], [3.1445000000000003, 0.007200000000000001], [-0.00680... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(3) @ Z(6)) + 0.0625 * (Z(3) @ Z(7)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(7) @ Z(4)) + 0.0625 * (Z(5) @ Z(6)) + 0.0625 * (Z(7) @ Z(5)) + 0.0625 * (Z(7) @ Z(6)) + -0.0625 * (Z(3) @ Z(4) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5625, -4.5625], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5625, "smallest_bitstrings": ["101100001", "110000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0025) q[0];
rz(0.0098) q[0];
rx(-0.0018) q[1];
rz(0.0093) q[1];
rx(-1.6298) q[2];
rz(0.0065) q[2];
rx(3.1512) q[3];
rz(0.0036) q[3];
rx(3.1436) q[4];
rz(0.006) q[4];
rx(3.1395) q[5];
rz(0.0015) q[5];
rx(3.1445) q[6];
rz(0.0072) q[6];
rx(-0.0068) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
209492d0ebde0c4941c69f20876abb8e | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 6, "source": 0, "t... | {"states": [342, 218], "expectation_value": -12.344395372607298, "params": [[0.035500000000000004, 0.0118, -0.0057], [-0.0375, -0.023, -0.0123]], "bitstrings": ["010101001", "100100101"], "total_optimization_steps": 10, "probabilities": [0.004021564247348545, 0.004577598227389243], "optimization_time": 6.62573862075805... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(0)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-86.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.5, "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];
cx q[1], q[0];
rz(0.3195) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.3195) q[4];
cx q[1], q[4];
cx q[0], q[2];
rz(0.3195) q[2];
cx q[0], q[2];
cx q[4], q[2];
rz(0.3195) q[2];
cx q[4], q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
470175375158941654 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 4], [8, 6], [1, 3, 5], [5, 6], [0, 3], [4, 6, 7], [8, 1], [8, 7]]} | {"states": [182, 230], "expectation_value": -3.382922679622123, "params": null, "bitstrings": ["101001001", "100011001"], "total_optimization_steps": 75, "probabilities": [0.0681110562423806, 0.759727615517051], "optimization_time": 135.17050647735596} | 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(1) @ Z(8)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.16666666666666666 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.666666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.333333333333333, "smallest_bitstrings": ["100011001"]} | 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(-1.0342) q[7], q[8];
ry(0.971) q[7];
cry(1.3559) q[7], q[1];
cry(-0.8863) q[1], q[8];
cry(1.3962) q[1], q[6];
cry(-1.412) q[6], q[5];
cry(-1.1642) q[2], q[4];
ry(0.7423) q[2];
cry(-0.5... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[7], 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];\n... |
59c7bf586b1b6ff0483e10c6bee5d678 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [5, 7], "expectation_value": -4.68510953902638, "params": [[[0.4636, 0.2348], [0.4903, -0.2063], [0.4807, -0.21830000000000002], [0.4857, -0.201], [0.8993, -0.0006000000000000001], [0.8616, 0.0013000000000000002], [0.8651000000000001, 0.0009000000000000001]], [[0.46040000000000003, 0.0021000000000000003], [0... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.4636) q[0];
rz(0.2348) q[0];
rx(0.4903) q[1];
rz(-0.2063) q[1];
rx(0.4807) q[2];
rz(-0.2183) q[2];
rx(0.4857) q[3];
rz(-0.201) q[3];
rx(0.8993) q[4];
rz(-0.0006) q[4];
rx(0.8616) q[5];
rz(0.0013) q[5];
rx(0.8651) q[6];
rz(0.0009) q[6];
rx(0.4604) 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] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
8f21ecaec272429f1bdc72f298b44a30 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 6, "source": 1, "target": 3}, {"capacity": 5, "so... | {"states": [1, 15], "expectation_value": -5.973429164810103, "params": null, "bitstrings": ["11110", "10000"], "total_optimization_steps": 38, "probabilities": [0.08996421767388751, 0.6443062405164904], "optimization_time": 26.204355239868164} | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(0)) + 1.75 * (Z(4) @ Z(0)) + -1.75 * (Z(4) @ Z(3)) + -2.75 * (Z(2) @ Z(3)) + 1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.0 * Z(4) + -0.25 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.75, "smallest_bitstrings": ["10000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cry(1.5708) q[3], q[1];
cry(1.5706) q[3], q[2];
cry(0.9505) q[2], q[3];
cry(1.5701) q[3], q[4];
cry(-1.5651) q[4], q[0];
ry(-0.3015) q[2];
cry(0.4049) q[2], q[1];
cry(0.2513) q[1], q[2];
cry(-0.1436) q[4], q[2];
cry(-0.5... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(1.5708) q[3], 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;\nqu... |
646c4ffdec7c3b688313fcfec6df6ea9 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 1}, {"source": 3, "target": 4}]} | {"states": [14267, 14259], "expectation_value": -7.612797041915288, "params": [[[1.1467, 0.0048000000000000004], [3.145, 0.0061], [3.1457, 0.0047], [1.1427, 0.0091], [2.9556, 0.0023], [3.1390000000000002, 0.009000000000000001], [3.1448, 0.0032], [1.6976, 0.0], [1.4642000000000002, 0.0043], [3.1444, 0.006800000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 1 | 15 | 1 | {"smallest_eigenvalues": [-9.499999999999973], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.499999999999968, "smallest_bitstrings": ["100100001001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(1.1467) q[0];
rz(0.0048) q[0];
rx(3.145) q[1];
rz(0.0061) q[1];
rx(3.1457) q[2];
rz(0.0047) q[2];
rx(1.1427) q[3];
rz(0.0091) q[3];
rx(2.9556) q[4];
rz(0.0023) q[4];
rx(3.139) q[5];
rz(0.009) q[5];
rx(3.1448) q[6];
rz(0.0032) q[6];
rx(1.6976) 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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
b426b8aff164c6823b185eb6b091738d | 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": 1, "target": 2}, {"source": 2, "target": 5}, {"source": 4, "target": 3}, {"source": ... | {"states": [23, 7], "expectation_value": -0.4598857457999891, "params": [[[0.4258, -0.0868], [0.5014000000000001, -0.0874], [0.4269, 0.0853], [0.5598000000000001, -0.009000000000000001], [0.5704, 0.0086], [0.5634, -0.0064]], [[0.4168, -0.0868], [0.49660000000000004, -0.0874], [0.42450000000000004, 0.0853], [0.5603, 0.0... | 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)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 1 | 6 | 3 | {"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(0.4258) q[0];
rz(-0.0868) q[0];
rx(0.5014) q[1];
rz(-0.0874) q[1];
rx(0.4269) q[2];
rz(0.0853) q[2];
rx(0.5598) q[3];
rz(-0.009) q[3];
rx(0.5704) q[4];
rz(0.0086) q[4];
rx(0.5634) q[5];
rz(-0.0064) q[5];
rx(0.4168) q[0];
rz(-0.0868) q[0];
rx(0.4966) q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} |
-8858667612093038706 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[9, 4, 6], [10, 5, 6, 7], [0, 2, 7], [0, 1, 3, 4, 6, 7, 10], [1, 4, 5, 7, 8, 9], [0, 1, 3, 6, 8, 9, 10], [0, 3, 4, 5, 9, 10], [0, 6, 7, 8, 10], [9, 6, 7], [1, 2, 4, 7, 8, 9, 10], [0, 2, 6], [1, 2, 3, 5, 6, 10], [0, 1, 2, 9], [8, 2, 5], [0, 2, 4]]} | {"states": [1598, 1662], "expectation_value": -3.1656965573530966, "params": [3.1397, 0.0099, 3.1388000000000003, 0.006900000000000001, 0.6867000000000001, 0.0047, 0.6305000000000001, 0.0048000000000000004, 1.6475000000000002, 0.008700000000000001, 3.1399000000000004, 0.0074, 3.1434, 0.0028, 3.1397, 0.0097, 2.0682, 0.0... | 0.2571428571428571 * (Z(10) @ Z(5)) + 0.19047619047619047 * (Z(7) @ Z(5)) + 0.3571428571428571 * (Z(7) @ Z(10)) + 0.08095238095238094 * (Z(2) @ Z(5)) + 0.08095238095238094 * (Z(2) @ Z(10)) + 0.21428571428571425 * (Z(2) @ Z(7)) + 0.06666666666666667 * (Z(6) @ Z(5)) + 0.06666666666666667 * (Z(6) @ Z(10)) + 0.116666666666... | 16 | 11 | 1 | {"smallest_eigenvalues": [-3.659523809523809], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5595238095238084, "smallest_bitstrings": ["00110000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(3.1397) q[0];
rz(0.0099) q[0];
rx(3.1388) q[1];
rz(0.0069) q[1];
rx(0.6867) q[2];
rz(0.0047) q[2];
rx(0.6305) q[3];
rz(0.0048) q[3];
rx(1.6475) q[4];
rz(0.0087) q[4];
rx(3.1399) q[5];
rz(0.0074) q[5];
rx(3.1434) q[6];
rz(0.0028) q[6];
rx(3.1397) 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": []} |
e5ad9c08c01c1ebe8aa9222d011acce6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 5, "source": 2, "target": 4}, {"capaci... | {"states": [46, 31], "expectation_value": -1.683418406310601, "params": [[-0.0816, -0.0727, -0.08510000000000001], [0.08030000000000001, 0.07, 0.0761]], "bitstrings": ["010001", "100000"], "total_optimization_steps": 10, "probabilities": [0.03312003274349947, 0.039238335140558356], "optimization_time": 2.52418303489685... | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -1.25 * (Z(2) @ Z(4)) + -1.75 * (Z(3) @ Z(4)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(5) + 0.0 * Z(4) + 1.25 * Z(2) + -0.75 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0408) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(0.1632) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0.0816) q[5];
cx q[0], q[5];
cx q[1], q[4];
rz(0.0408) q[4];
cx q[1], q[4];
cx q[5], q[4];
rz(0.040... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
-7609944322478908394 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 8, 6], [0, 4, 5], [9, 2], [8, 4, 6], [9, 6, 7], [1, 2, 4], [0, 8, 9], [8, 1, 6], [0, 8, 2, 3], [9, 3], [0, 3, 7], [2, 6], [1, 4, 5, 9], [3, 6, 7], [0, 1, 2, 8], [2, 4, 5, 7], [8, 3, 6], [3, 4], [0, 9, 1, 7], [0, 1, 6], [0, 1, 5, 8]]} | {"states": [813, 982], "expectation_value": -2.5330633174086405, "params": [[0.27], [-0.2762]], "bitstrings": ["0011010010", "0000101001"], "total_optimization_steps": 30, "probabilities": [0.004633341545486294, 0.005044202732067965], "optimization_time": 5.478005409240723} | 0.5833333333333333 * (Z(0) @ Z(8)) + 0.6666666666666666 * (Z(6) @ Z(8)) + 0.3333333333333333 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.25 * (Z(5) @ Z(0)) + 0.3333333333333333 * (Z(5) @ Z(4))... | 1 | 10 | 1 | {"smallest_eigenvalues": [-5.333333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.166666666666668, "smallest_bitstrings": ["0000101001"]} | 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[8], q[0];
rz(0.315) q[0];
cx q[8], q[0];
cx q[8], q[6];
rz(0.36) q[6];
cx q[8], q[6];
cx q[0], q[6];
rz(0.18) q[6];
cx q[0], q[6];
cx q[8], q[4];
rz(0.09) q[4];
cx q[8], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
9e72b7dd0d69a46b7f007aaed5517323 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}]} | {"states": [22, 19], "expectation_value": -2.989065658799344, "params": null, "bitstrings": ["101001", "101100"], "total_optimization_steps": 29, "probabilities": [0.06023624493004092, 0.8645378003122703], "optimization_time": 22.616657733917236} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["011100", "011001", "101001", "101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[2];
ry(1.4449) q[4];
cry(-1.0342) q[5], q[3];
cry(-1.0342) q[1], q[0];
ry(0.7003) q[5];
ry(0.7003) q[1];
ry(-0.4549) q[3];
cry(0.4963) q[4], q[5];
ry(-0.4549) q[0];
cry(0.4963) q[4], q[1];
cry(-0.37... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
1d5830a984622eead42a5eae40078f2f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 6}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [15, 78], "expectation_value": -3.9991050119628366, "params": null, "bitstrings": ["1110000", "0110001"], "total_optimization_steps": 34, "probabilities": [0.0655285222703876, 0.9338466720009756], "optimization_time": 26.515655279159546} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(6) + -0.5 * Z(0) + -1.5 * Z(2) + -1.0 * Z(1) + -0.5 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["1110000", "0110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[2];
ry(-1.4449) q[1];
ry(1.4449) q[4];
ry(1.4417) q[5];
ry(1.4417) q[3];
cry(-1.0342) q[0], q[6];
ry(0.7003) q[0];
cry(-0.1259) q[5], q[1];
ry(-0.4549) q[6];
cry(0.4963) q[4], q[0];
cry(-0.3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
64a6a8fe1cb9ef7d229e464b8e6d867d | 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": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [25, 73], "expectation_value": -4.996398057800715, "params": null, "bitstrings": ["1100110", "0110110"], "total_optimization_steps": 27, "probabilities": [0.06635227146986615, 0.9303267354068143], "optimization_time": 21.5174663066864} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + -1.0 * Z(2) + -0.5 * Z(0) + -2.0 * Z(5) + -0.5 * Z(3) + -1.0 * Z(1) + -1.5 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["0110011", "1100110", "0110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[5];
ry(-1.5681) q[4];
ry(-1.4449) q[1];
ry(1.4417) q[3];
ry(1.4417) q[6];
cry(-1.0343) q[0], q[2];
ry(0.7003) q[0];
cry(-0.1259) q[6], q[1];
ry(-0.4549) q[2];
cry(0.4962) q[6], q[0];
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[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
156ca4a9eb9bc4d43be6672c4dc6f353 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [571, 569], "expectation_value": -81.9805782328493, "params": [1.4993, 0.3209, 0.4534, 0.5645, 0.0034000000000000002, -0.7464000000000001, 0.0031000000000000003, 1.0429000000000002, 1.5035, 0.0022, 1.4882, 0.0007, 1.5005000000000002, 0.2255, 0.6209, 0.46340000000000003, 0.7699, -0.3935, 1.4937, 0.0023, 1.498... | 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(7) @ Z(4)) + 6.0 * (Z(5) @ Z(0)) + 6.0 * (Z(5) @ Z(7)) + 6.0 * (Z(6) @ Z(1)) + 6.0 * (Z(6) @ Z(7)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(8) @ Z(0)) + 6.0 * (Z(8) @ Z(5)) + 6.0 * (Z(9) @ Z(8)) + 6.0 * (Z(2) @ Z(9)) + 4.0 * Z(1) + 14.0 * Z(0) + -5.0 * Z(3) + 9.0 * Z(4) + 8.... | 18 | 10 | 2 | {"smallest_eigenvalues": [-96.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["0111000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.4993) q[0];
rz(0.3209) q[0];
rx(0.4534) q[1];
rz(0.5645) q[1];
rx(0.0034) q[2];
rz(-0.7464) q[2];
rx(0.0031) q[3];
rz(1.0429) q[3];
rx(1.5035) q[4];
rz(0.0022) q[4];
rx(1.4882) q[5];
rz(0.0007) q[5];
rx(1.5005) q[6];
rz(0.2255) q[6];
rx(0.6209) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
4c69a0d1058ca2b5155124f5da9aed6f | 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}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "targ... | {"states": [16380, 16383], "expectation_value": -10.369333067154752, "params": [[-0.1983], [0.2364]], "bitstrings": ["00000000000011", "00000000000000"], "total_optimization_steps": 30, "probabilities": [0.0023279569724354893, 0.0023279569724354893], "optimization_time": 25.396234273910522} | -2.0 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(6)) + -2.0 * (Z(8) @ Z(9)) + 1.0 * (Z(10) @ Z(9)) + -2... | 10 | 14 | 1 | {"smallest_eigenvalues": [-29.000000000000078], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.999999999999872, "smallest_bitstrings": ["00000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] 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];
cx q[1], q[0];
rz(0.7932) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3966) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.7932) q[2];
cx q[0], q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[14] c;
qubit[14] 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];
cx q[1], q[0];
rz(x0) ... | {"node": 14} | {"circuits": [], "gradients": []} |
75e38f85452ebc08ee898a0ac8b18be5 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target"... | {"states": [24, 5], "expectation_value": -1.113327647690677, "params": [[0.0742, 0.0713, 0.0679], [-0.076, -0.065, -0.0546]], "bitstrings": ["00111", "11010"], "total_optimization_steps": 10, "probabilities": [0.04212256369565958, 0.05158866946668053], "optimization_time": 3.8040287494659424} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.5 * Z(3) + -1.0 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["11010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(0.0742) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0742) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0742) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0742) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0742) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
ab38e7699e076f39debd51236acd2336 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 3, "source": 2, "target": 3}, {"capaci... | {"states": [63, 31], "expectation_value": -0.26939428518742836, "params": [[-0.061000000000000006], [0.07440000000000001]], "bitstrings": ["000000", "100000"], "total_optimization_steps": 10, "probabilities": [0.01801746341852397, 0.0185317705706916], "optimization_time": 1.4130756855010986} | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.75 * (Z(2) @ Z(3)) + 0.75 * (Z(5) @ Z(0)) + -1.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + 1.0 * Z(1) + -0.25 * Z(0) + -1.5 * Z(3) + 0.75 * Z(4) + 0.75 * Z(2) + -0.75 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.061) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.1525) q[3];
cx q[1], q[3];
cx q[1], q[4];
rz(0.0305) q[4];
cx q[1], q[4];
cx q[3], q[4];
rz(0.0915) q[4];
cx q[3], q[4];
cx q[3], q[2];
rz(0.0915)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
dc8ac5f82febba9dcace181eb5c76eb3 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": ... | {"states": [7, 13], "expectation_value": -6.697771003850325, "params": null, "bitstrings": ["111000", "110010"], "total_optimization_steps": 55, "probabilities": [0.10896502576958948, 0.5967175913259242], "optimization_time": 62.00785565376282} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 *... | 18 | 6 | 2 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000", "110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.5708) q[3], q[0];
ry(0.8911) q[3];
cry(-1.5708) q[5], q[1];
ry(0.7848) q[5];
cry(-1.5708) q[2], q[4];
ry(0.683) q[2];
ry(-0.4007) q[0];
ry(-0.2882) q[1];
cry(0.409) q[5], q[3];
cry(-0.2393) q[5], q[0];
cry... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
5bfd79024282ae69c62758a244a2de56 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [9, 12], "expectation_value": -2.4551628339052805, "params": null, "bitstrings": ["110110", "110011"], "total_optimization_steps": 18, "probabilities": [0.05733133303541498, 0.9026320751736394], "optimization_time": 12.712612628936768} | 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)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -0.75 * Z(0) + -0.75 * Z(1) + 0.0 * Z(2) + -0.25 * Z(3) + -0.5 * Z(4) + -0.2... | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["111010", "110110", "110101", "110011"]} | 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(-1.5486) q[1];
ry(-1.4449) q[4];
ry(-1.4449) q[0];
ry(1.0342) q[2];
cry(-0.9353) q[3], q[5];
ry(0.712) q[3];
cry(-0.5281) q[2], q[5];
cry(0.5097) q[2], q[3];
cry(0.3892) q[3], q[2];
ry(-0.3871) q[5];
cry(-0.11... | 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(-1.5486) 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... |
83ee17d45f4b1b4c4df32a71ac5dcbf5 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "target": 5},... | {"states": [2047, 2044], "expectation_value": -0.4143442660118159, "params": [[0.0536], [-0.0478]], "bitstrings": ["00000000000", "00000000011"], "total_optimization_steps": 10, "probabilities": [0.0006316626715341338, 0.0006316626715341339], "optimization_time": 2.3896310329437256} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + -1.5 * (Z(9) @ Z(10)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(7) + ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-15.5, -15.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.5, "smallest_bitstrings": ["00000000000", "00000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(-0.1608) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0536) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1608) q[2];
cx q[0], q[2];
cx q[4], q[3];
rz(-0.1608)... | 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[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x1) q[2]... | {"node": 11} | {"circuits": [], "gradients": []} |
35eda900f849f65d0cff23e7af228cca | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 4, "s... | {"states": [5, 1], "expectation_value": -2.187646670991853, "params": [[-0.0441, -0.0679, -0.030600000000000002], [0.045200000000000004, 0.0748, 0.0553]], "bitstrings": ["111111010", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0067093745618151375, 0.007426919165948501], "optimization_time": 6.8544... | -0.75 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(0)) + 1.75 * (Z(8) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + -0.25 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-15.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.25, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.0662) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0662) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0441) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.0221) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
-3262654968474390693 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 4], [1, 2], [0, 4], [0, 1], [2, 3], [3, 5], [0, 5], [0, 2], [4, 5]]} | {"states": [38, 41], "expectation_value": -0.0960176368199003, "params": [[-0.07830000000000001], [0.07]], "bitstrings": ["011001", "010110"], "total_optimization_steps": 10, "probabilities": [0.017352771767296778, 0.017352771767296778], "optimization_time": 0.49097156524658203} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.5, "smallest_bitstrings": ["011001", "010110", "001001", "100110", "110110", "101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[2];
rz(-0.0783) q[2];
cx q[4], q[2];
cx q[2], q[1];
rz(-0.0783) q[1];
cx q[2], q[1];
cx q[4], q[0];
rz(-0.0783) q[0];
cx q[4], q[0];
cx q[2], q[0];
rz(-0.0783) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[2], q[0];
rz(x0) q... | null | {"circuits": [], "gradients": []} |
aaa0b19e64bf3c35281517d1fd2e9593 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}]} | {"states": [9, 8], "expectation_value": -0.07316976406868506, "params": [[-0.07780000000000001], [0.07680000000000001]], "bitstrings": ["10110", "10111"], "total_optimization_steps": 10, "probabilities": [0.03313399802853316, 0.03389658606480954], "optimization_time": 1.925433874130249} | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(1)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(3) @ Z(1... | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.125, "smallest_bitstrings": ["10111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.0778) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0195) q[2];
cx q[1], q[2];
cx q[4], q[1];
rz(-0.0195) q[1];
cx q[4], q[1];
cx q[1], q[3];
rz(-0.0195) q[3];
cx q[1], q[3];
cx q[4], q[2];
rz(-0.0195) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x1) q[2];
cx q[1], q[2];
cx q[4], q[1];... | null | {"circuits": [], "gradients": []} |
9b8c0ccb32d0f88d964f624767035a96 | 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": 2, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [1, 9], "expectation_value": -11.499987376023428, "params": null, "bitstrings": ["11111110", "11110110"], "total_optimization_steps": 32, "probabilities": [1.2623237149556206e-05, 0.9999873766793562], "optimization_time": 33.7437310218811} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + 2.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.5 * Z(4) + -0.75 * Z(6) + 0.75 * Z(2) + -1.0 * Z(3) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["11110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[7];
ry(-1.5708) q[0];
ry(-1.5708) q[1];
ry(-1.5708) q[6];
cry(-1.5681) q[7], q[3];
ry(-1.5706) q[2];
cry(-1.5708) q[7], q[5];
cry(1.4449) q[7], q[4];
ry(0.1188) q[4];
cry(-0.0027) q[4... | 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[... |
ea6f28b1d52734982303edc3e4a649bb | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, ... | {"states": [224, 228], "expectation_value": -3.3565528613008686, "params": [0.634, 0.6408, 0.5671, 0.5640000000000001, 0.6704, 0.6472, 0.0028, -0.0037, -0.0063, -0.0035, 0.34290000000000004, 0.342, 0.0029000000000000002, 0.0063, 0.0036000000000000003, 0.0004, 0.6547000000000001, 0.42210000000000003, 0.5788, 0.5707, 0.5... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0... | 13 | 8 | 3 | {"smallest_eigenvalues": [-3.625, -3.625], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.625, "smallest_bitstrings": ["00011011", "10000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.634) q[0];
ry(0.5671) q[1];
ry(0.6704) q[2];
ry(0.0028) q[3];
ry(-0.0063) q[4];
ry(0.3429) q[5];
ry(0.0029) q[6];
ry(0.0036) q[7];
crz(0.5896) q[7], q[0];
crz(0.5187) q[6], q[7];
crz(-0.01) q[5], q[6];
crz(-0.3775) q[4], q[5];
crz(0.4662) q[3], q[4];
crz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
c3748fcc72302775c117f76c5c27415d | 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": 1, "target": 3}, {"source": 2, "target": 3},... | {"states": [2047, 2044], "expectation_value": -21.60184507318521, "params": [[[0.0025, 3.1594], [0.002, 0.0024000000000000002], [0.0018000000000000002, 0.0019], [0.0023, 0.002], [0.0019, 0.0023], [0.0027, 0.0028], [0.0031000000000000003, -0.0029000000000000002], [0.0018000000000000002, 0.0024000000000000002], [0.0023, ... | -1.5 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + -1.5 * (Z(8) @ Z(6)) + -2.0... | 15 | 11 | 1 | {"smallest_eigenvalues": [-23.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["00000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0025) q[0];
ry(0.002) q[1];
ry(0.0018) q[2];
ry(0.0023) q[3];
ry(0.0019) q[4];
ry(0.0027) q[5];
ry(0.0031) q[6];
ry(0.0018) q[7];
ry(0.0023) q[8];
ry(0.0018) q[9];
ry(0.0026) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"node": 9} | {"circuits": [], "gradients": []} |
-5718511346561763600 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4], [1, 6, 7], [0, 1, 3], [2, 4, 6], [2, 3, 5, 6], [0, 4, 6, 7], [0, 2, 6, 7], [0, 5, 6], [1, 4]]} | {"states": [245, 242], "expectation_value": -1.2235049502860744, "params": [[-0.3609], [0.36410000000000003]], "bitstrings": ["00001010", "00001101"], "total_optimization_steps": 40, "probabilities": [0.013988566354662578, 0.01406705897771693], "optimization_time": 1.8681857585906982} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.25 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.3333333333333333 * (Z(7) @ Z(6)) + 0.08333333333333333 * (Z(0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.666666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.416666666666667, "smallest_bitstrings": ["00001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[3];
rz(-0.3609) q[3];
cx q[4], q[3];
cx q[4], q[1];
rz(-0.3609) q[1];
cx q[4], q[1];
cx q[3], q[1];
rz(-0.1203) q[1];
cx q[3], q[1];
cx q[4], q[6];
rz(-0.1804) q[6];
cx q[4], q[6];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
cf37919d6a949ddf46d1ba52baad11a7 | kclique | qaoa | {"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": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [10, 3], "expectation_value": -17.859372242907636, "params": [[0.040400000000000005, 0.0102, 0.0118], [-0.0823, -0.0653, -0.058100000000000006]], "bitstrings": ["1110101", "1111100"], "total_optimization_steps": 10, "probabilities": [0.021955577772329423, 0.02315851703828778], "optimization_time": 8.88705039... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + 3... | 13 | 7 | 3 | {"smallest_eigenvalues": [-30.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.75, "smallest_bitstrings": ["1111100"]} | 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(0.2222) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2222) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2222) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2222) q[3];
cx q[1], q[3];
cx q[0], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} |
3d2c4840fc401bce028fec43ca4ea0a2 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [1884, 1882], "expectation_value": -7.057852466269145, "params": [[-0.0373, -0.0164, -0.0574, -0.14250000000000002], [0.13540000000000002, 0.1413, 0.1187, 0.1419]], "bitstrings": ["00010100011", "00010100101"], "total_optimization_steps": 20, "probabilities": [0.0026532445378426458, 0.0026532445378426466], "... | 0.5 * (Z(0) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(0)) + 1.0 * (Z(1) @ Z(8)) + 0.8571428571428572 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(9)) + 0.5 * (Z(2) @ Z(8)) + 0.4285714285714286 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(9)) + 0.8571428571428572 * (Z(2) @ Z(1)) + -1.0 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(0)) + -1.0 * (Z... | 1 | 11 | 4 | {"smallest_eigenvalues": [-10.857142857142858, -10.857142857142858], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.857142857142856, "smallest_bitstrings": ["00010100101", "00010100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[8], q[0];
rz(-0.0373) q[0];
cx q[8], q[0];
cx q[8], q[9];
rz(-0.0746) q[9];
cx q[8], q[9];
cx q[0], q[9];
rz(-0.0373) q[9];
cx q[0], q[9];
cx q[8], q[1];
rz(-0.0746... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
-6631759952784594763 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[4, 7], [3, 6], [8, 2], [8, 7], [2, 6], [4, 6], [0, 4], [0, 7], [8, 3], [2, 4], [1, 2], [1, 7], [0, 1], [2, 5], [1, 4], [8, 1], [6, 7], [3, 4], [3, 7]]} | {"states": [114, 354], "expectation_value": -0.35717980108843894, "params": [0.7089000000000001, 0.0017000000000000001, 0.7040000000000001, 0.0056, 0.6997, 0.0033, 0.6994, 0.0012000000000000001, 0.7031000000000001, -0.0012000000000000001, 0.7049000000000001, 0.0092, 0.7003, 0.0006000000000000001, 0.7003, 0.0057, 0.7070... | 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["010011101", "100011101", "011100010", "101100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.7089) q[0];
rz(0.0017) q[0];
rx(0.6997) q[1];
rz(0.0033) q[1];
rx(0.7031) q[2];
rz(-0.0012) q[2];
rx(0.7003) q[3];
rz(0.0006) q[3];
rx(0.707) q[4];
rz(-0.0055) q[4];
rx(0.7073) q[5];
rz(-0.0017) q[5];
rx(0.7027) q[6];
rz(-0.0044) q[6];
rx(0.707) 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": []} |
e5ad9c08c01c1ebe8aa9222d011acce6 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 5, "source": 2, "target": 4}, {"capaci... | {"states": [0, 31], "expectation_value": -4.581849742975653, "params": [[[-0.0025, -0.4575], [-0.0036000000000000003, -0.0027], [0.0014, -0.002], [-0.0024000000000000002, -0.0025], [-0.0015, 0.1487], [1.6736, 0.0035]], [[0.3642, -1.5789], [-0.0014, 0.45830000000000004], [0.0024000000000000002, -0.0008], [-0.0027, -0.00... | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -1.25 * (Z(2) @ Z(4)) + -1.75 * (Z(3) @ Z(4)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(5) + 0.0 * Z(4) + 1.25 * Z(2) + -0.75 * Z(3) | 15 | 6 | 2 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(-0.0025) q[0];
ry(-0.0036) q[1];
ry(0.0014) q[2];
ry(-0.0024) q[3];
ry(-0.0015) q[4];
ry(1.6736) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(-0.4575) q[0];
ry(-0.0027) q[1];
ry(-0.002) q[2];
ry(-0.0025)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
e88900ed7019a142b144e2072f00bcdb | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"sour... | {"states": [191, 189], "expectation_value": -2.582133467662201, "params": [-0.0018000000000000002, 0.008700000000000001, 1.6087, 0.0046, 0.1353, 0.0043, 1.6086, 0.004200000000000001, 1.6062, 0.007, 1.6006, 0.0017000000000000001, 1.6127, 0.0077, 1.5563, 0.0038, 1.5952000000000002, 0.0082, 0.0061, 0.0022, 0.0004, 0.0043,... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(8) @ Z(7)) + 0.0 * Z(3) + -1.5 * Z(0) + 0.0 * Z(4) + 0.0 * Z(5) + -1.0 * Z(7) + -1.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(8) | 3 | 9 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["101000001", "101000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0018) q[0];
rz(0.0087) q[0];
rx(1.6087) q[1];
rz(0.0046) q[1];
rx(0.1353) q[2];
rz(0.0043) q[2];
rx(1.6086) q[3];
rz(0.0042) q[3];
rx(1.6062) q[4];
rz(0.007) q[4];
rx(1.6006) q[5];
rz(0.0017) q[5];
rx(1.6127) q[6];
rz(0.0077) q[6];
rx(1.5563) 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": []} |
-4619862998776359120 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 6], [1, 2, 3, 4], [0, 3, 5], [0, 2], [3, 4, 5], [2, 3, 5, 6]]} | {"states": [62, 58], "expectation_value": 0.200030479151681, "params": [0.6923, 0.0016, 0.6897, 0.0021000000000000003, 0.7103, -0.0025, 0.7080000000000001, 0.008, 0.6978000000000001, 0.0026000000000000003, 0.6957, 0.0073, 0.7053, 0.002, 0.7031000000000001, 0.0091, 0.6986, 0.0026000000000000003, 0.7028, 0.00420000000000... | 0.5 * (Z(1) @ Z(6)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(6)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(... | 6 | 7 | 1 | {"smallest_eigenvalues": [-2.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9999999999999998, "smallest_bitstrings": ["1000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.6923) q[0];
rz(0.0016) q[0];
rx(0.7103) q[1];
rz(-0.0025) q[1];
rx(0.6978) q[2];
rz(0.0026) q[2];
rx(0.7053) q[3];
rz(0.002) q[3];
rx(0.6986) q[4];
rz(0.0026) q[4];
rx(0.7006) q[5];
rz(0.0025) q[5];
rx(0.7075) q[6];
rz(-0.002) q[6];
crx(0.2599) 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[... | null | {"circuits": [], "gradients": []} |
087038e9edc1ea672825729ff4eba005 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6... | {"states": [32559, 32575], "expectation_value": -17.196135598435205, "params": [0.29510000000000003, 0.2954, 0.2985, 0.3045, 0.2988, 0.2985, 0.29960000000000003, 0.29860000000000003, 0.2936, 0.299, 0.3002, 0.2962, 0.298, 0.3029, -0.0044, -0.004, -0.12390000000000001, -0.1037, 0.3045, 0.3043, 0.3018, 0.2992, 0.2932, 0.2... | 0.5 * (Z(9) @ Z(11)) + 1.0 * (Z(12) @ Z(11)) + 0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(10) @ Z(11)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(12)) + -0.5 * (Z(0) @ Z(9)) + -0.5 * (Z(0) @ Z(10)) + -1.0 * (Z(1) @ Z(9)) + -1.0 * (Z(1) @ Z(10)) + 0.9090909090909091 * (Z(1) @ Z(0)) + -0.5 * (Z(2) @ Z(9)) + -0.5 * (Z(2) @ Z(10)) + 0... | 14 | 15 | 4 | {"smallest_eigenvalues": [-20.27272727272695], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999854, "smallest_bitstrings": ["000000011000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
ry(0.2951) q[0];
ry(0.2985) q[1];
ry(0.2988) q[2];
ry(0.2996) q[3];
ry(0.2936) q[4];
ry(0.3002) q[5];
ry(0.298) q[6];
ry(-0.0044) q[7];
ry(-0.1239) q[8];
ry(0.3045) q[9];
ry(0.3018) q[10];
ry(0.2932) q[11];
ry(0.2904) q[12];
ry(0.2932) q[13];
ry(0.3012) 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": []} |
d5af6033ed988c3d3adf4d77cc0740e1 | 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": 3}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 4, "source": ... | {"states": [0, 2046], "expectation_value": -31.819941013438, "params": [[[0.0007, 0.8111], [0.0029000000000000002, 0.0001], [0.0023, 0.0022], [0.0022, 0.0023], [0.0019, 0.0023], [0.0021000000000000003, 0.0023], [0.0025, 0.0027], [0.0015, 0.0024000000000000002], [0.0022, 0.0028], [0.0028, 0.0028], [0.0033, 0.00210000000... | -0.5 * (Z(0) @ Z(5)) + -1.25 * (Z(10) @ Z(5)) + -0.75 * (Z(10) @ Z(0)) + -0.75 * (Z(11) @ Z(5)) + -1.0 * (Z(11) @ Z(0)) + -0.75 * (Z(11) @ Z(10)) + 2.5 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(10)) + -0.5 * (Z(3) @ Z(11)) + -2.75 * (Z(1) @ Z(5)) + -1.5 * (Z(1) @ Z(11)) + -1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(10)) + -1.75 *... | 15 | 12 | 2 | {"smallest_eigenvalues": [-33.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.25, "smallest_bitstrings": ["100000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0007) q[0];
ry(0.0029) q[1];
ry(0.0023) q[2];
ry(0.0022) q[3];
ry(0.0019) q[4];
ry(0.0021) q[5];
ry(0.0025) q[6];
ry(0.0015) q[7];
ry(0.0022) q[8];
ry(0.0028) q[9];
ry(0.0033) q[10];
ry(0.0022) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
f06cfa431b1d21951bd72bdc4807e338 | 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": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [24, 27], "expectation_value": -4.499934073599166, "params": null, "bitstrings": ["100111", "100100"], "total_optimization_steps": 25, "probabilities": [1.383409073205191e-05, 0.999948183846146], "optimization_time": 15.007214069366455} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(1) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[0];
ry(-1.5681) q[3];
ry(1.4449) q[2];
ry(1.4449) q[1];
ry(1.4449) q[4];
ry(1.4449) q[5];
cry(0.1187) q[4], q[5];
cry(0.1188) q[5], q[1];
cry(0.1188) q[1], q[2];
cry(0.1186) q[1], q[4];
cry(-0.0027)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
0d4975981166b2874d2e3fb8df49ba97 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 1, "source": 0, "t... | {"states": [246, 214], "expectation_value": -9.56806878912819, "params": [[-0.0449], [0.0731]], "bitstrings": ["100001001", "100101001"], "total_optimization_steps": 10, "probabilities": [0.004035172377667216, 0.005013098295700713], "optimization_time": 1.7258045673370361} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(8)) + 14.0 * Z(1) + 0.5 * Z(0) + 18.5 * Z(4) + 13.5 * Z(2) + 7... | 1 | 9 | 1 | {"smallest_eigenvalues": [-81.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["100101001"]} | 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(-0.4041) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(-0.4041) q[4];
cx q[1], q[4];
cx q[0], q[2];
rz(-0.4041) q[2];
cx q[0], q[2];
cx q[4], q[2];
rz(-0.4041) q[2];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
b112e2ea9564e5424aa1ebbe167f5e45 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [7, 5], "expectation_value": -6.999999951634066, "params": null, "bitstrings": ["11111000", "11111010"], "total_optimization_steps": 22, "probabilities": [0.4999999779559535, 0.4999999779559535], "optimization_time": 16.32095217704773} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(4)) + 1.25 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(5)) + 0.0 * Z(1) + -0.25 * Z(0) + -0.5 * Z(3) + 1.75 * Z(5) + -1.0 * Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["11111010", "11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[5];
ry(1.5706) q[7];
ry(-1.5706) q[0];
ry(-1.5486) q[4];
ry(-1.4448) q[3];
ry(-1.4449) q[2];
ry(-1.568) q[1];
cry(-0.1258) q[7], q[2];
cry(-0.1189) q[7], q[3];
cry(-0.0222) q[7], q[4]... | 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[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
da3c81488557dc57e6e1f0bd43d65336 | 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": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [42, 41], "expectation_value": -2.999862368845878, "params": null, "bitstrings": ["010101", "010110"], "total_optimization_steps": 28, "probabilities": [1.7185116648684505e-05, 0.9999311603755043], "optimization_time": 18.359073638916016} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["010110", "101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.4449) q[1];
ry(-1.4449) q[4];
ry(-1.4449) q[3];
ry(1.4384) q[5];
ry(1.4384) q[2];
ry(1.4384) q[0];
cry(-0.1259) q[2], q[3];
cry(-0.1259) q[5], q[4];
cry(-0.1259) q[2], q[1];
cry(0.1248) q[5], q[0];
cry(0.12... | 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(-1.4449) 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... |
9d1382902993d8e771af3489e0021226 | 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": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [242, 250], "expectation_value": -2.500733740931716, "params": [0.19640000000000002, 0.4373, 0.9925, 0.0098, 0.9988, 0.028300000000000002, 0.9963000000000001, 0.0013000000000000002, 0.9942000000000001, -0.0122, 0.5725, 0.040100000000000004, 0.0026000000000000003, 0.5048, 0.9989, 0.24350000000000002, 0.097300... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 18 | 9 | 3 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.125, "smallest_bitstrings": ["100000101", "010010001", "000101100", "010001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.1964) q[0];
rz(0.4373) q[0];
rx(0.9925) q[1];
rz(0.0098) q[1];
rx(0.9988) q[2];
rz(0.0283) q[2];
rx(0.9963) q[3];
rz(0.0013) q[3];
rx(0.9942) q[4];
rz(-0.0122) q[4];
rx(0.5725) q[5];
rz(0.0401) q[5];
rx(0.0026) q[6];
rz(0.5048) q[6];
rx(0.9989) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
1d36f605f450bd24c53bed4c61ab6422 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6... | {"states": [51, 35], "expectation_value": -0.09433794141477218, "params": [[0.0577], [-0.0465]], "bitstrings": ["1001100", "1011100"], "total_optimization_steps": 10, "probabilities": [0.00849595643951467, 0.008540582482928175], "optimization_time": 1.767807960510254} | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(1) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -1.0 * Z(3) + -0.25 * Z(0) + -0.75 * Z(4) + 0.25 * Z(2) + 0.25 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["1011100", "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[3], q[0];
rz(-0.0289) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(-0.0289) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.0577) q[4];
cx q[0], q[4];
cx q[4], q[2];
rz(-0.0577) q[2];
cx q[4], q[2];
cx q[2], 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;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
c... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
014aa6382d0a3729060055c7790c69a9 | 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": [335, 334], "expectation_value": -80.17288514946671, "params": [0.0026000000000000003, 0.0035, 2.8983000000000003, 0.0027, 0.002, 0.0053, 2.8914, 0.0032, 1.0012, 0.0073, -0.0024000000000000002, 0.0043, 2.8970000000000002, 0.0085, 2.8804000000000003, 0.0097, 2.8955, 0.0001, 1.472, 0.0026000000000000003, 0.008... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(9) @ Z(6)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(7) @ Z(9)) + 6.5 * (Z(8) @ Z(6)) + 6.5 * (Z(8) @ Z(9)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(2) @ Z(8)) + -2.5 * Z(0) + 6.5 * Z(1) + 4.5 * Z(4) + 7.5 * Z(3) + 15.5 * Z(6) + 11.0 * Z(9)... | 18 | 10 | 1 | {"smallest_eigenvalues": [-93.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.0, "smallest_bitstrings": ["1010110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0026) q[0];
rz(0.0035) q[0];
rx(2.8983) q[1];
rz(0.0027) q[1];
rx(0.002) q[2];
rz(0.0053) q[2];
rx(2.8914) q[3];
rz(0.0032) q[3];
rx(1.0012) q[4];
rz(0.0073) q[4];
rx(-0.0024) q[5];
rz(0.0043) q[5];
rx(2.897) q[6];
rz(0.0085) q[6];
rx(2.8804) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
627b6f3a98f95fde2108fd86312a5752 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}, {"id": 15}, {"id": 16}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target":... | {"states": [65528, 65535], "expectation_value": -24.06422632694101, "params": [-0.0032, 0.3302, 0.0021000000000000003, 0.2917, 1.5243, -0.0034000000000000002, -0.0004, 0.21050000000000002, 0.0051, -0.0007, -1.5216, -0.0033, 0.1042, -0.0021000000000000003, 1.8027000000000002, 0.0031000000000000003, -2.4554, -0.0028, 0.0... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + -1.5 * (Z(9) @ Z(10)) + -1.0 * (Z(11) @ Z(12)) + -1.5 * (Z(13) @ Z(14)) + -1.5 * (Z(15) @ Z(14)) + -1.5 * (Z(15) @... | 4 | 16 | 1 | {"smallest_eigenvalues": [-25.500000000000036], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.499999999999844, "smallest_bitstrings": ["0000000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(-0.0032) q[0];
rz(0.3302) q[0];
rx(0.0021) q[1];
rz(0.2917) q[1];
rx(1.5243) q[2];
rz(-0.0034) q[2];
rx(-0.0004) q[3];
rz(0.2105) q[3];
rx(0.0051) q[4];
rz(-0.0007) q[4];
rx(-1.5216) q[5];
rz(-0.0033) q[5];
rx(0.1042) q[6];
rz(-0.0021) q[6];
rx(1.8027) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 11} | {"circuits": [], "gradients": []} |
6560067630344918254 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 3, 1], [0, 2], [3, 4], [0, 5], [4, 6], [4, 7], [8, 4]]} | {"states": [865, 801], "expectation_value": -0.6534641109380622, "params": [0.6995, 0.0171, 0.6957, 0.0004, 0.7036, 0.0373, 0.7042, 0.0076, 0.6994, -0.18560000000000001, 0.4788, 0.0063, 0.6957, -0.0853, 0.686, 0.0081, 0.7016, 0.0414, 0.7024, 0.0031000000000000003, 0.7033, 0.0038, 0.49710000000000004, 0.0005, 0.7007, -0... | 0.16666666666666666 * (Z(9) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(9)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(4)) + 0.16666666666666663 * Z(3) + 0.16666666666666666 * Z(9) + 0.16666666666666... | 6 | 10 | 1 | {"smallest_eigenvalues": [-3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["1100100000", "1000100001", "1001001110", "0010110001", "0011011110", "0110110000"... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.6995) q[0];
rz(0.0171) q[0];
rx(0.7036) q[1];
rz(0.0373) q[1];
rx(0.6994) q[2];
rz(-0.1856) q[2];
rx(0.6957) q[3];
rz(-0.0853) q[3];
rx(0.7016) q[4];
rz(0.0414) q[4];
rx(0.7033) q[5];
rz(0.0038) q[5];
rx(0.7007) q[6];
rz(-0.004) q[6];
rx(0.7071) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
e4c65d82be0d39aa5a43dd21b25413c9 | 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": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [9, 52], "expectation_value": -0.2145173186146401, "params": [[-0.0806], [0.07680000000000001]], "bitstrings": ["110110", "001011"], "total_optimization_steps": 10, "probabilities": [0.017990970568797556, 0.01834629602464026], "optimization_time": 1.6018879413604736} | 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(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -1.0 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -0.5 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001011", "101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(-0.0806) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.0806) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.0806) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(-0.0806) q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[4];
rz(x0) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(x0) q[4]... | null | {"circuits": [], "gradients": []} |
6163086712884181579 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 7], [4, 5], [5, 7], [4, 7], [0, 5], [1, 2], [2, 3], [1, 6]]} | {"states": [84, 92], "expectation_value": -2.782058065226236, "params": null, "bitstrings": ["10101011", "10100011"], "total_optimization_steps": 51, "probabilities": [0.20347344314339222, 0.6094081716509439], "optimization_time": 58.80132699012756} | 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0, "smallest_bitstrings": ["01010100", "11011000", "00100111", "10101011", "01011100", "10100011"]} | 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[5], q[7];
cry(-1.0342) q[3], q[2];
ry(1.3762) q[1];
cry(-1.441) q[1], q[6];
cry(-0.7081) q[4], q[7];
ry(1.0162) q[5];
cry(-1.382) q[5], q[0];
cry(-0.3718) q[1], q[7];
cry(0.3164) q[... | 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[5], 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] = me... |
89d5c825b6a0ab169a92c6e188014bcd | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 6}, {"source": 3, "ta... | {"states": [467, 465], "expectation_value": -3.2380699276738767, "params": [[[-0.0022, 0.0029000000000000002, 0.004, 0.0097], [1.0418, 0.0028, 1.0465, 0.006], [2.4316, 0.0079, 0.0004, 0.001], [0.002, -0.378, 1.5687, 0.008], [-0.0025, 0.0056, 0.0063, 0.005200000000000001], [1.0455, 0.0025, 1.0447, 0.0012000000000000001]... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(0)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(3) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(3) @ Z(0) @ Z(1)) + -0.125 * (Z(3) @ Z(0) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(6... | 12 | 10 | 1 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.75, "smallest_bitstrings": ["1110101000", "1100101001", "1000101101", "1000110101", "1100101010", "1000101110", "1100110001", "1010101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0022) q[0];
rz(0.0029) q[0];
ry(1.0418) q[1];
rz(0.0028) q[1];
ry(2.4316) q[2];
rz(0.0079) q[2];
ry(0.002) q[3];
rz(-0.378) q[3];
ry(-0.0025) q[4];
rz(0.0056) q[4];
ry(1.0455) q[5];
rz(0.0025) q[5];
ry(-0.0029) q[6];
rz(0.0013) q[6];
ry(0.0025) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-169116440002931486 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 4], [0, 3, 4], [1, 2, 3, 5], [0, 1, 2, 3]]} | {"states": [52, 53], "expectation_value": -1.2762811970542618, "params": null, "bitstrings": ["001011", "001010"], "total_optimization_steps": 31, "probabilities": [0.13030080311702216, 0.7923699906288547], "optimization_time": 25.242359399795532} | 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.0833333... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.25, "smallest_bitstrings": ["001010"]} | 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[3];
cry(-1.0291) q[1], q[4];
ry(0.8548) q[1];
cry(-0.5808) q[3], q[4];
cry(0.4765) q[3], q[1];
ry(-0.3321) q[4];
ry(0.5716) q[0];
cry(-0.5509) q[1], q[2];
cry(0.5279) q[1], q[0];
cry(-0.4538) q[0], q... | 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[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 \"stdgat... |
20b257e7ab3ea05503daa46ec3868b05 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [52, 37], "expectation_value": -0.34568521647133366, "params": [[0.056100000000000004, 0.046400000000000004], [-0.0551, -0.038900000000000004]], "bitstrings": ["001011", "011010"], "total_optimization_steps": 10, "probabilities": [0.01836001613231447, 0.018360016132314486], "optimization_time": 2.63166975975... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * Z(2) + -0.5 * Z(0) + -1.5 * Z(4) + -1.0 * Z(1) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["001011", "011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(0.0561) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(0.0561) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.0561) q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(0.0561) q[1];
cx q[2], q[1];
cx q[4], q[1];
rz(0.0561... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} |
cbe7ba36f82b20f95bdf134b5dceea0e | 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": [432, 434], "expectation_value": -58.74562703701078, "params": [[[0.4854, 0.1746], [0.8053, 0.1724], [0.8055, 0.13920000000000002], [0.1335, 0.1685], [0.7346, 0.34800000000000003], [0.5587, 0.2856], [0.1759, 0.5946], [0.2758, 0.48250000000000004], [0.5397000000000001, 0.5222], [0.2944, 0.8022]], [[0.7517, 0.... | 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(2) @ Z(4)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(6) @ Z(1)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(7) @ Z(4)) + 7.5 * (Z(9) @ Z(8)) + -3.5 * Z(0) + 7.5 * Z(1) + 17.5 * Z(4) + 11.5 * Z(3) + 9.5 * Z(2) + 7.0 * Z(5) + 1.5 * Z(6) + -3.0 * Z(7) + 1.0 * Z(8) + -... | 15 | 10 | 3 | {"smallest_eigenvalues": [-94.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -83.0, "smallest_bitstrings": ["1001001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.4854) q[0];
ry(0.8053) q[1];
ry(0.8055) q[2];
ry(0.1335) q[3];
ry(0.7346) q[4];
ry(0.5587) q[5];
ry(0.1759) q[6];
ry(0.2758) q[7];
ry(0.5397) q[8];
ry(0.2944) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
7bc4dde9a09d0b94c5097b219891d81a | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}]} | {"states": [89, 85], "expectation_value": -0.15207755407063128, "params": [0.2442, -0.1014, 0.2338, -0.109, 0.3106, -0.0734, 0.3149, -0.08990000000000001, 0.266, -0.12240000000000001, 0.24600000000000002, -0.1325, 0.324, -0.0805, 0.3211, -0.0995, 0.2773, -0.1022, 0.2725, -0.11030000000000001, 0.30670000000000003, -0.09... | 0.25 * (Z(0) @ Z(1)) + -0.001953125 * (Z(2) @ Z(0)) + -0.001953125 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00078125 * (Z(4) @ Z(0)) + -0.00078125 * (Z(4) @ Z(2)) + 0.00078125 * (Z(5) @ Z(1)) + -0.00078125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00078125 * (Z(6) @ Z(0)) + -0.00078125 * (Z(6) @ Z(2)) + -0.0015625 *... | 5 | 8 | 3 | {"smallest_eigenvalues": [-1.0070312500000003, -1.0070312500000003], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0070312499999998, "smallest_bitstrings": ["10101010", "10100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.2442) q[0];
rz(-0.1014) q[0];
rx(0.3106) q[1];
rz(-0.0734) q[1];
rx(0.266) q[2];
rz(-0.1224) q[2];
rx(0.324) q[3];
rz(-0.0805) q[3];
rx(0.2773) q[4];
rz(-0.1022) q[4];
rx(0.3067) q[5];
rz(-0.0945) q[5];
rx(0.3395) q[6];
rz(0.1433) q[6];
rx(0.3556) 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... | {"communities_size": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
06224520ded029e940b1fde3f5ab3e3b | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [17, 37], "expectation_value": -3.003065798986642, "params": null, "bitstrings": ["101110", "011010"], "total_optimization_steps": 28, "probabilities": [0.05910217727314931, 0.8451772667375618], "optimization_time": 16.758018970489502} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + -0.25 * Z(1) + -0.5 * Z(0) + -1.0 * Z(2) + -0.25 * Z(3) + -0.5 * Z(4) + -0.25 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[2];
ry(-1.4449) q[4];
cry(-1.3016) q[0], q[1];
ry(1.2881) q[5];
ry(0.7838) q[0];
ry(-0.6337) q[1];
cry(1.3202) q[0], q[3];
cry(0.4634) q[5], q[0];
cry(-0.1259) q[5], q[4];
cry(-0.1354) q[3], q[1];
c... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
4743a42b98680c4f321c8f72a752812d | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 4, "source": 3, "target": 4}, {"capaci... | {"states": [287, 447], "expectation_value": -11.414364348807236, "params": null, "bitstrings": ["011100000", "001000000"], "total_optimization_steps": 91, "probabilities": [0.15640941847284406, 0.6925526015669172], "optimization_time": 163.2579333782196} | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(8) @ Z(3)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(8)) + 1.0 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(8)) + 2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6... | 1 | 9 | 4 | {"smallest_eigenvalues": [-12.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.833333333333334, "smallest_bitstrings": ["001000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(0.2475) q[5];
cry(0.9944) q[8], q[5];
cry(0.7253) q[7], q[5];
ry(1.5708) q[6];
cry(-0.1535) q[6], q[5];
ry(1.5703) q[4];
ry(1.3592) q[8];
cry(0.4856) q[4], q[5];
ry(1.4037) q[7];
cry(1.... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(0.2475) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
d0adf87c438fa85bf55807406cfe450e | 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": -0.008732080655154835, "params": [[-0.0419], [0.052500000000000005]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 10, "probabilities": [1.580474562292389e-05, 1.5804745622923894e-05], "optimization_time": 13.207115173339844} | 0.25 * (Z(0) @ Z(1)) + -0.0005000000000000001 * (Z(2) @ Z(0)) + -0.0005000000000000001 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0008749999999999999 * (Z(4) @ Z(0)) + -0.00075 * (Z(4) @ Z(2)) + -0.0008749999999999999 * (Z(5) @ Z(1)) + -0.00075 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0006875000000000002 * (Z(6) @ ... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.0174999999999494], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.017499999999929, "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(-0.0209) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0) q[3];
cx q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[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[0];
cx q[1], q[0];
c... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
a645ae3643161db4224eacb5097991ef | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [97, 69], "expectation_value": -5.496464085561502, "params": null, "bitstrings": ["0011110", "0111010"], "total_optimization_steps": 29, "probabilities": [0.06634840431968939, 0.9303662506154603], "optimization_time": 22.81065344810486} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(5) + -1.5 * Z(1) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0011110", "0111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[2];
ry(-1.5708) q[5];
ry(-1.5681) q[3];
ry(1.4449) q[0];
ry(1.4449) q[6];
cry(-1.0343) q[4], q[1];
ry(0.7003) q[4];
ry(-0.4549) q[1];
cry(0.4963) q[0], q[4];
cry(-0.3789) q[0], q[1];
cry(0.2... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
6c729dfd5e7001e3a38620bc1dd3c2de | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, ... | {"states": [45, 39], "expectation_value": -4.999144858283781, "params": null, "bitstrings": ["1010010", "1011000"], "total_optimization_steps": 36, "probabilities": [0.06552908063231486, 0.9338662614321694], "optimization_time": 35.15415167808533} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(3) + -1.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(6) + -1.5 * Z(2) + 0.0 * Z(1) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1011000", "1010010"]} | 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(-1.5708) q[2];
ry(1.4449) q[1];
ry(1.4449) q[6];
ry(1.4449) q[4];
cry(-1.0342) q[5], q[3];
ry(0.7003) q[5];
ry(-0.4549) q[3];
cry(0.4963) q[4], q[5];
cry(-0.3789) q[4], q[3];
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[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", ... |
20a60ed013bc1976376f734be7d8d92c | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [6, 9], "expectation_value": -0.03986941572386399, "params": [[-0.053700000000000005], [0.0627]], "bitstrings": ["1001", "0110"], "total_optimization_steps": 10, "probabilities": [0.06584866402386612, 0.06584866402386613], "optimization_time": 1.3553974628448486} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1001", "0110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(-0.0537) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.0537) q[2];
cx q[3], q[2];
cx q[2], q[0];
rz(-0.0537) q[0];
cx q[2], q[0];
cx q[3], q[1];
rz(-0.0537) q[1];
cx q[3], q[1];
rz(0.0537) q[0];
rz(0.0537) q[1];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[... | null | {"circuits": [], "gradients": []} |
532d7b9840f324faf47e567c6a0fdd6f | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [0, 7], "expectation_value": -18.737999184494292, "params": [0.0033, 0.9647, 0.0, 1.363, 0.0006000000000000001, 0.8797, 0.0035, 1.2348000000000001, -0.025500000000000002, 1.4853, 0.0043, 1.487, -0.0022, 1.0967, 0.0077, 0.8545, 0.0007, 1.4642000000000002, 0.0004, 0.8264, -0.6604, 1.0966, 0.4717, 0.69100000000... | -2.5 * (Z(0) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(0)) + -3.0 * (Z(1) @ Z(3)) + 1.5 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(4)) + -2.5 * (Z(2) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + -1.5 * Z(3) + -2.0 * Z(0) ... | 6 | 8 | 2 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0033) q[0];
rz(0.9647) q[0];
rx(0.0006) q[1];
rz(0.8797) q[1];
rx(-0.0255) q[2];
rz(1.4853) q[2];
rx(-0.0022) q[3];
rz(1.0967) q[3];
rx(0.0007) q[4];
rz(1.4642) q[4];
rx(-0.6604) q[5];
rz(1.0966) q[5];
rx(-0.6326) q[6];
rz(0.9565) q[6];
rx(-0.6694) 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": 4} | {"circuits": [], "gradients": []} |
5f79bb35bd8dc69bae5409f6ad22880d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 6}, {"weight": 19, "source": 0, "target": 2}, {"weight": 11, "source": 1, "tar... | {"states": [250, 234], "expectation_value": -68.09858732067715, "params": [0.3403, 0.2311, 0.7869, -0.0039000000000000003, 0.7868, 0.0001, 0.789, 0.1211, 0.3854, 0.2669, 0.7943, 0.136, 0.19410000000000002, 0.34140000000000004, 0.7855000000000001, 0.1363, 0.1824, 0.3109, 0.3393, 0.2117, 0.79, -0.0048000000000000004, 0.7... | 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(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(7)) + 18.5 * Z(1) ... | 18 | 9 | 4 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3403) q[0];
rz(0.2311) q[0];
rx(0.7869) q[1];
rz(-0.0039) q[1];
rx(0.7868) q[2];
rz(0.0001) q[2];
rx(0.789) q[3];
rz(0.1211) q[3];
rx(0.3854) q[4];
rz(0.2669) q[4];
rx(0.7943) q[5];
rz(0.136) q[5];
rx(0.1941) q[6];
rz(0.3414) q[6];
rx(0.7855) q[7];
rz(0.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input ... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
da1b1c85f8e653b867f6f4bdba638afa | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [7, 70], "expectation_value": -5.496304682848942, "params": null, "bitstrings": ["1111000", "0111001"], "total_optimization_steps": 26, "probabilities": [0.06706466845750586, 0.9295035070612587], "optimization_time": 27.127124309539795} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -2.0 * Z(3) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["0111001", "1101001", "1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[1];
ry(-1.5708) q[3];
ry(-1.4449) q[2];
ry(1.4449) q[5];
ry(1.4449) q[4];
cry(-1.0398) q[0], q[6];
ry(0.6944) q[0];
ry(-0.451) q[6];
cry(0.4963) q[5], q[0];
cry(-0.3778) q[5], q[6];
cry(0.25... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
9a44f437194a4879d426f5b6a5686299 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [5, 7], "expectation_value": -11.690888116176037, "params": [[[0.49760000000000004, 0.1655], [0.4027, -0.19440000000000002], [0.4823, 0.16], [0.5043, 0.16140000000000002], [0.4016, -0.1915], [0.8004, -0.0017000000000000001], [0.7993, 0.0022], [0.8022, -0.0015]], [[0.4983, 0.0015], [0.40490000000000004, 0.006... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.... | 1 | 8 | 2 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4976) q[0];
rz(0.1655) q[0];
rx(0.4027) q[1];
rz(-0.1944) q[1];
rx(0.4823) q[2];
rz(0.16) q[2];
rx(0.5043) q[3];
rz(0.1614) q[3];
rx(0.4016) q[4];
rz(-0.1915) q[4];
rx(0.8004) q[5];
rz(-0.0017) q[5];
rx(0.7993) q[6];
rz(0.0022) q[6];
rx(0.8022) q[7];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} |
-4296608395322037532 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 5, 6], [0, 6], [0, 2], [3, 6], [0, 4]]} | {"states": [21, 53], "expectation_value": -2.014994747838207, "params": null, "bitstrings": ["1101010", "1001010"], "total_optimization_steps": 55, "probabilities": [0.09072364724132713, 0.634881347781267], "optimization_time": 64.45673394203186} | 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];
cry(-1.0342) q[6], q[0];
ry(0.971) q[6];
cry(-1.3758) q[6], q[3];
cry(-0.8029) q[4], q[0];
cry(1.1656) q[6], q[4];
cry(1.2786) q[4], q[2];
cry(-0.434) q[2], q[0];
cry(0.3593) q[2], q[6];
ry(0.2347) q[4];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[6], q[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... |
347cd23786ada5a7ec96f3799dd0d8dc | 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": 1, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 2}, {"weight": 19, "source": 1, "target": 5}, {"weight": 12, "source": 1, "target": 4}, {... | {"states": [171, 117], "expectation_value": -21.003525534788952, "params": null, "bitstrings": ["01010100", "10001010"], "total_optimization_steps": 100, "probabilities": [0.09235583992557893, 0.1219335732334597], "optimization_time": 154.7184705734253} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 5.5 * Z(1) + 4.5 * Z(0) + 18.0 * Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "smallest_bitstrings": ["10001010"]} | 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[2];
ry(29.8457) q[5];
ry(-0.6383) q[7];
ry(63.1298) q[6];
cry(62.5925) q[6], q[2];
ry(30.31) q[3];
cry(62.811) q[4], q[2];
cry(62.821) q[1], q[2];
cry(18.6858) q[2], q[6];
cry(1.1124)... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(0.5995) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
92e0d9744e7b0376f2c61fec7a621b77 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [56, 25], "expectation_value": -3.4964640978287123, "params": null, "bitstrings": ["000111", "100110"], "total_optimization_steps": 23, "probabilities": [0.06634871027471173, 0.930365963812893], "optimization_time": 12.179049253463745} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(3) + -1.0 * Z(0) + -1.0 * Z(4) + -0.5 * Z(5) + -0.5 * Z(1) + 0.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["000111", "100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[3];
ry(-1.5681) q[4];
ry(1.4449) q[2];
ry(1.4449) q[1];
cry(-1.0343) q[5], q[0];
ry(0.7003) q[5];
ry(-0.4549) q[0];
cry(0.4963) q[2], q[5];
cry(-0.3789) q[2], q[0];
cry(0.2489) q[1], q[5];
cry(-0.14... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[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... |
9e8a866d2c0011b6946d4c64e758f31c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [21, 28], "expectation_value": -3.999900324820463, "params": null, "bitstrings": ["101010", "100011"], "total_optimization_steps": 26, "probabilities": [1.7187519564476356e-05, 0.999950071649245], "optimization_time": 15.618556499481201} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[0];
ry(-1.4449) q[5];
ry(-1.4449) q[4];
ry(1.4417) q[3];
ry(1.4417) q[1];
ry(1.4384) q[2];
cry(-0.1259) q[3], q[4];
cry(-0.1259) q[2], q[5];
cry(0.1246) q[3], q[2];
cry(0.1218) q[2], q[1];
cry(0.121... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
20a60ed013bc1976376f734be7d8d92c | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [0, 6], "expectation_value": -1.9998648604775688, "params": null, "bitstrings": ["1111", "1001"], "total_optimization_steps": 13, "probabilities": [1.900140947380775e-05, 0.9999183586751094], "optimization_time": 4.424016237258911} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1001", "0110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(-1.4449) q[0];
ry(-1.4449) q[3];
ry(1.4384) q[2];
ry(1.4384) q[1];
cry(-0.1259) q[2], q[3];
cry(-0.1259) q[2], q[0];
cry(0.1248) q[2], q[1];
cry(0.1242) q[1], q[2];
cry(-0.0005) q[1], q[0];
c[0] = measure q[0];
c[1] = measure... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... |
a6da0588e4f06076b5c2f06ef98c16c3 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [41, 56], "expectation_value": -0.12997562430109594, "params": [[0.0346, -0.0683], [-0.061900000000000004, 0.0632]], "bitstrings": ["1010110", "1000111"], "total_optimization_steps": 10, "probabilities": [0.008698862693376021, 0.008698862693376028], "optimization_time": 3.085334062576294} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(3) + 0.0 * Z(0) + -1.0 * Z(4) + -0.5 * Z(1) + -1.0 * Z(5) + -0.5 * Z(2) + -0.5 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5, "smallest_bitstrings": ["0101011", "1000111", "1010110", "0011110", "0111100", "0111001", "0001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(0.0346) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(0.0346) q[4];
cx q[3], q[4];
cx q[4], q[1];
rz(0.0346) q[1];
cx q[4], q[1];
cx q[3], q[5];
rz(0.0346) q[5];
cx q[3], q[5];
cx q[1], q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(x0) q[... | null | {"circuits": [], "gradients": []} |
422319ba04d136ad73513dac1d0065c7 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capaci... | {"states": [1783, 1767], "expectation_value": -12.640353891220009, "params": [0.0, -0.0006000000000000001, 0.38830000000000003, 0.394, 0.3788, 0.3677, -0.0876, -0.2222, 0.30360000000000004, 0.3284, 0.3401, 0.35350000000000004, 0.4056, 0.3899, 0.0829, 0.0849, -0.0006000000000000001, 0.0001, 0.3946, 0.3985, 0.3724, 0.374... | -1.0 * (Z(8) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(8)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(0) @ Z(8)) + -0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * ... | 14 | 12 | 4 | {"smallest_eigenvalues": [-12.875, -12.875, -12.875], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -12.625, "smallest_bitstrings": ["100110001010", "100100011000", "100100000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0) q[0];
ry(0.3883) q[1];
ry(0.3788) q[2];
ry(-0.0876) q[3];
ry(0.3036) q[4];
ry(0.3401) q[5];
ry(0.4056) q[6];
ry(0.0829) q[7];
ry(-0.0006) q[8];
ry(0.3946) q[9];
ry(0.3724) q[10];
ry(0.3632) q[11];
crx(0.0105) q[11], q[0];
crx(0.12) q[10], q[11];
crx(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
e5ad9c08c01c1ebe8aa9222d011acce6 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 5, "source": 2, "target": 4}, {"capaci... | {"states": [17, 31], "expectation_value": -4.335116996798767, "params": null, "bitstrings": ["101110", "100000"], "total_optimization_steps": 51, "probabilities": [0.12902492310277472, 0.45615066958250355], "optimization_time": 44.86572742462158} | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -1.25 * (Z(2) @ Z(4)) + -1.75 * (Z(3) @ Z(4)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(5) + 0.0 * Z(4) + 1.25 * Z(2) + -0.75 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(1.5706) q[4], q[2];
cry(1.2837) q[3], q[4];
cry(1.5548) q[5], q[1];
cry(0.6654) q[3], q[2];
cry(1.2853) q[4], q[3];
ry(-0.5014) q[3];
cry(0.3807) q[2], q[3];
cry(-0.268) q[1], q[3];
cry(-1.0343) q[5], q[0];
c... | 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(1.5706) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... |
d69fa5e96a291c9842cf6b612c269a84 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 19, "source": 1, "target": 7}, {"weight": 18, "source": 1, "target": 8}, {"weight": 7, "source... | {"states": [227, 211], "expectation_value": -59.50909763741391, "params": [[0.030600000000000002, -0.0729], [-0.2561, 0.2459]], "bitstrings": ["100011100", "100101100"], "total_optimization_steps": 30, "probabilities": [0.051643482882880204, 0.05337648223173669], "optimization_time": 3.821622133255005} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(8) @ Z(7)) + 19.5 * Z(1) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-92.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "smallest_bitstrings": ["100101100"]} | 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(0.306) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.306) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.306) q[2];
cx q[0], q[2];
cx q[2], q[4];
rz(0.306) q[4];
cx q[2], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
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