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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1836f56c6aacade8d2873047a951421e | 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": 3, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 18, "source": 1, "target": 7}, {"weight": 13, "source": 1, "tar... | {"states": [243, 234], "expectation_value": -25.576555588486492, "params": [[-0.039900000000000005, -0.0045000000000000005, 0.012100000000000001], [0.06670000000000001, 0.0734, 0.0663]], "bitstrings": ["100001100", "100010101"], "total_optimization_steps": 10, "probabilities": [0.00936131254915104, 0.012395917547764042... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 11.5 * Z(1) + 6.0 * Z(0) + 18.0 * ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "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(-0.3591) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.3591) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(-0.3591) q[2];
cx q[0], q[2];
cx q[3], q[2];
rz(-0.3591) q[2];
cx q[3], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
13b5396df6ad27aea05f400e3a29be63 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"sour... | {"states": [49, 177], "expectation_value": -5.55146925284746, "params": [0.0024000000000000002, 0.0098, 1.5946, 0.0001, 1.5341, 0.0027, 1.6116000000000001, 0.0009000000000000001, 1.6098000000000001, 0.0055000000000000005, 0.0017000000000000001, 0.0018000000000000002, -0.0043, 0.0051, 0.1814, 0.0001, 1.6096000000000001,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.5, "smallest_bitstrings": ["101001110", "101011100", "110001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0024) q[0];
rz(0.0098) q[0];
rx(1.5946) q[1];
rz(0.0001) q[1];
rx(1.5341) q[2];
rz(0.0027) q[2];
rx(1.6116) q[3];
rz(0.0009) q[3];
rx(1.6098) q[4];
rz(0.0055) q[4];
rx(0.0017) q[5];
rz(0.0018) q[5];
rx(-0.0043) q[6];
rz(0.0051) q[6];
rx(0.1814) 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": []} |
16e531ebd5c4fa365456c9500ea8e716 | 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": [38, 7], "expectation_value": -12.588143650301648, "params": null, "bitstrings": ["1011001", "1111000"], "total_optimization_steps": 63, "probabilities": [0.10773790860779595, 0.6115449305490317], "optimization_time": 110.98962473869324} | 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 ... | 18 | 7 | 3 | {"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;
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[3];
cry(-1.5707) q[4], q[2];
ry(1.103) q[4];
cry(-1.5708) q[6], q[1];
ry(1.0124) q[5];
ry(-0.4863) q[2];
ry(0.7256) q[6];
ry(-0.4809) q[3];
ry(-0.2806) q[1];
cry(0.3... | 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", ... |
6aecb2db5a17939aba5a720d201b5cc2 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [190, 186], "expectation_value": -2.665926416143701, "params": [-0.002, -0.0028, 1.399, 1.3976000000000002, 0.060000000000000005, -0.054900000000000004, 1.3756000000000002, 1.3232000000000002, 1.3961000000000001, 1.3987, 1.3920000000000001, 1.3918000000000001, 0.9867, 0.9528000000000001, 1.1506, 1.3885, 0.33... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(2) @ Z(5)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(7) @ Z(1)) + 0.125 * (Z(6) @ Z(5)) + 0.125 * (Z(7) @ Z(5)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (... | 14 | 9 | 1 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.125, "smallest_bitstrings": ["101100010", "101000110", "101001001", "111000001", "101000101", "010110010", "010110001", "100110010",... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.002) q[0];
ry(1.399) q[1];
ry(0.06) q[2];
ry(1.3756) q[3];
ry(1.3961) q[4];
ry(1.392) q[5];
ry(0.9867) q[6];
ry(1.1506) q[7];
ry(0.3352) q[8];
crx(-0.0045) q[8], q[0];
crx(-0.4956) q[7], q[8];
crx(-0.2836) q[6], q[7];
crx(0.1144) q[5], q[6];
crx(1.1516) ... | OPENQASM 3.0;
include "stdgates.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": []} |
159674029209513093 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 3, 4, 5], [1, 2, 3, 5], [0, 1, 2, 4], [0, 1, 2, 5], [0, 1, 2, 3], [0, 1, 3, 4, 5]]} | {"states": [47, 45], "expectation_value": -1.2733067014866393, "params": null, "bitstrings": ["010000", "010010"], "total_optimization_steps": 26, "probabilities": [0.09060756483325287, 0.7974111224836128], "optimization_time": 26.862118005752563} | 0.3 * (Z(0) @ Z(2)) + 0.21666666666666667 * (Z(3) @ Z(2)) + 0.18333333333333335 * (Z(3) @ Z(0)) + 0.13333333333333333 * (Z(4) @ Z(2)) + 0.18333333333333335 * (Z(4) @ Z(0)) + 0.1 * (Z(4) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(2)) + 0.18333333333333335 * (Z(5) @ Z(0)) + 0.18333333333333335 * (Z(5) @ Z(3)) + 0.1 * (Z(5... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.3166666666666669, -1.3166666666666669], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.3166666666666664, "smallest_bitstrings": ["001010", "010010"]} | 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(1.5055) q[2];
ry(1.1021) q[0];
cry(0.3594) q[2], q[0];
cry(-0.5872) q[5], q[1];
ry(0.4729) q[5];
cry(-0.606) q[3], q[1];
cry(0.4609) q[2], q[5];
cry(-0.3473) q[0], q[1];
cry(0.3233) q[0], q[5];
cry(-0.2394) 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(1.5055) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
0963943ecfb82868686868de206d3c2c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}]} | {"states": [5, 13], "expectation_value": -0.05491822648890053, "params": [[-0.0685], [0.0711]], "bitstrings": ["11010", "10010"], "total_optimization_steps": 10, "probabilities": [0.03305420654058623, 0.03400500473001039], "optimization_time": 1.0013394355773926} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + 0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(3) + -0.25 * Z(4) + 0.5 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["10010"]} | 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(0.0343) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.0343) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.0685) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.1028) q[4];
cx q[0], q[4];
cx q[4], q[2];
rz(0.0685) 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[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[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[1], q[4];... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
-4509764041376285527 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[5, 6], [0, 4], [2, 5], [1, 6], [0, 2], [1, 3]]} | {"states": [29, 98], "expectation_value": -0.07600624536587909, "params": [[0.0786], [-0.0824]], "bitstrings": ["1100010", "0011101"], "total_optimization_steps": 10, "probabilities": [0.009057634547627466, 0.009057634547627466], "optimization_time": 1.24365234375} | 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.0 * Z(6) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["0011101", "1100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[5];
rz(0.0786) q[5];
cx q[6], q[5];
cx q[4], q[0];
rz(0.0786) q[0];
cx q[4], q[0];
cx q[5], q[2];
rz(0.0786) q[2];
cx q[5], q[2];
cx q[0], q[2];
rz(0.0786) q[2];
cx q[0], q[2];
cx q[6], q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[5];
rz(x0) q[5];
cx q[6], q[5];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[5], q[2];
rz(x0) q[2];
cx q[5], q[2];
cx q[0], q[2];
... | null | {"circuits": [], "gradients": []} |
5096143430902867398 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 2, 6], [3, 4], [8, 2, 3, 5], [1, 5], [0, 2, 6, 7], [1, 4, 6], [2, 4], [0, 4], [4, 5, 6], [8, 0, 3, 6], [1, 3], [2, 3, 7], [0, 3, 5, 6], [0, 2, 5], [8, 7]]} | {"states": [364, 366], "expectation_value": -3.988006337959983, "params": [1.4357, -0.0023, 1.6954, 0.0019, -0.0039000000000000003, 0.9599000000000001, -0.005, 0.0073, 1.5746, -0.0025, 1.5718, 0.0085, 1.5724, -0.0028, 1.5733000000000001, 0.0004, -0.0046, 0.9592, -0.0026000000000000003, 0.0064, 1.7375, 0.4378, 1.4143000... | 0.25 * (Z(8) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(8)) + 0.25 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(8)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.25 * (Z(... | 7 | 9 | 1 | {"smallest_eigenvalues": [-4.166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.9166666666666656, "smallest_bitstrings": ["010010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.4357) q[0];
rz(-0.0023) q[0];
rx(-0.0039) q[1];
rz(0.9599) q[1];
rx(1.5746) q[2];
rz(-0.0025) q[2];
rx(1.5724) q[3];
rz(-0.0028) q[3];
rx(-0.0046) q[4];
rz(0.9592) q[4];
rx(1.7375) q[5];
rz(0.4378) q[5];
rx(1.5731) q[6];
rz(-0.0015) q[6];
rx(0.8695) 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": []} |
4cda5dee957682c08dbd329bc943c5ef | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [34, 72], "expectation_value": -0.6230281334532363, "params": [[0.0317, 0.0726], [-0.0001, -0.0597]], "bitstrings": ["1011101", "0110111"], "total_optimization_steps": 10, "probabilities": [0.009372151367205088, 0.009372151367205093], "optimization_time": 4.594762563705444} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.0, "smallest_bitstrings": ["1011101", "0110111", "1111100", "1101011", "1101110", "1110110"]} | 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(0.0317) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0317) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0317) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.0317) q[4];
cx q[1], q[4];
cx q[0], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} |
26d7f56e59bfdf48052023802b40605b | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [6, 3], "expectation_value": -7.266998784218237, "params": null, "bitstrings": ["11001", "11100"], "total_optimization_steps": 29, "probabilities": [0.1270260520166957, 0.6801278965337934], "optimization_time": 23.67515754699707} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4) | 6 | 5 | 3 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5708) q[1];
cry(-1.5708) q[4], q[2];
ry(0.8148) q[4];
cry(-1.5708) q[3], q[0];
ry(0.8457) q[3];
ry(-0.3698) q[2];
ry(-0.338) q[0];
cry(0.3839) q[3], q[4];
cry(-0.219) q[3], q[2];
cry(0.3173) q[4], q[3];
cry(-0.2306... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
068ca9ebc869ed2b6b1f40ca0469471e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [1918, 1914], "expectation_value": -1.4498985712856225, "params": [[[0.3462, 0.8367, 0.005, 0.009000000000000001], [-0.11410000000000001, -0.8385, 0.4733, 0.0051], [0.9978, 0.0019, 1.0042, 0.0089], [0.9978, -0.0023, 1.0088000000000001, 0.0028], [0.7927000000000001, 0.1163, 0.8487, 0.0], [0.6414000000000001, ... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(5) @ Z(0)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(5) @ Z(6)) ... | 11 | 12 | 1 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 23, "first_excited_energy": -2.75, "smallest_bitstrings": ["100100000011", "011000100001", "010010... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.3462) q[0];
rz(0.8367) q[0];
ry(-0.1141) q[1];
rz(-0.8385) q[1];
ry(0.9978) q[2];
rz(0.0019) q[2];
ry(0.9978) q[3];
rz(-0.0023) q[3];
ry(0.7927) q[4];
rz(0.1163) q[4];
ry(0.6414) q[5];
rz(-0.2402) q[5];
ry(0.9957) q[6];
rz(0.0022) q[6];
ry(0.7448) 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": []} |
2245143298754336995 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2], "hyperedges": [[0, 1], [1, 2]]} | {"states": [2, 5], "expectation_value": -0.8584632227034505, "params": null, "bitstrings": ["101", "010"], "total_optimization_steps": 11, "probabilities": [0.07556414489901593, 0.8229185809877103], "optimization_time": 4.201823472976685} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) | 1 | 3 | 1 | {"smallest_eigenvalues": [-1.0, -1.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": 0.0, "smallest_bitstrings": ["101", "010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cry(-1.0342) q[2], q[1];
ry(0.7003) q[2];
cry(-0.7092) q[0], q[1];
cry(1.1516) q[2], q[0];
cry(0.4386) q[0], q[2];
ry(-0.3186) q[1];
ry(0.2661) q[0];
cry(-0.2722) q[1], q[0];
cry(-0.2402) q[1], q[2];
c[0] = measure q[0];
c[1] = measure ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\ncry(-1.0342) q[2], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\ncry(-1.0342) q[2], q[1]... |
b301caa8ee54d69b7ea37306c72194d5 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 6, "source": 0, "t... | {"states": [214, 118], "expectation_value": -9.306228387067291, "params": [[-0.0386], [0.07350000000000001]], "bitstrings": ["00101001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.007275479207143356, 0.007816215542582204], "optimization_time": 2.7956881523132324} | 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 7.5 * Z(0) + 13.5 * Z(3) + 18.0 * Z(1) + 18.0 * Z(2) + 8.0 * Z(5) + 4.5 * Z(4)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-64.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.0, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[3];
rz(-0.3474) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(-0.3474) q[1];
cx q[0], q[1];
cx q[3], q[1];
rz(-0.3474) q[1];
cx q[3], q[1];
cx q[0], q[2];
rz(-0.3474) q[2];
cx q[0], q[2];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[3];
rz(x0) q[3];
cx q[0],... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
d7d7a914f5c5b10bb66230237db17fae | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target":... | {"states": [448, 508], "expectation_value": -13.693649255204447, "params": [-1.6115000000000002, -1.5029000000000001, -0.0004, -0.0026000000000000003, -0.054900000000000004, 0.050300000000000004, -1.0918, -0.8277, -0.0022, 0.0029000000000000002, -0.0025, -0.0025, -0.0019, -0.0018000000000000002, -0.006500000000000001, ... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6) + -1... | 14 | 9 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-1.6115) q[0];
ry(-0.0004) q[1];
ry(-0.0549) q[2];
ry(-1.0918) q[3];
ry(-0.0022) q[4];
ry(-0.0025) q[5];
ry(-0.0019) q[6];
ry(-0.0065) q[7];
ry(-0.1229) q[8];
crx(-1.3704) q[8], q[0];
crx(-0.019) q[7], q[8];
crx(2.8898) q[6], q[7];
crx(2.9656) q[5], q[6];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 7} | {"circuits": [], "gradients": []} |
629504279f468411145abc8bbc01a7ac | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [24, 31], "expectation_value": -16.087376244452752, "params": [-0.0025, 0.0066, -0.0025, 0.006500000000000001, -0.0025, 0.0008, -0.0026000000000000003, 1.7444000000000002, -0.0018000000000000002, -0.29510000000000003, 2.8259000000000003, 0.0034000000000000002, -0.0018000000000000002, 0.2868, -0.0024000000000... | -2.5 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + -1.5 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + 1.0 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(7) +... | 4 | 9 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["111100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0025) q[0];
rz(0.0066) q[0];
rx(-0.0025) q[1];
rz(0.0065) q[1];
rx(-0.0025) q[2];
rz(0.0008) q[2];
rx(-0.0026) q[3];
rz(1.7444) q[3];
rx(-0.0018) q[4];
rz(-0.2951) q[4];
rx(2.8259) q[5];
rz(0.0034) q[5];
rx(-0.0018) q[6];
rz(0.2868) q[6];
rx(-0.0024) q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 0} | {"circuits": [], "gradients": []} |
bb51b85a8f0cca1e878093cb2d4e9f25 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [1, 3], "expectation_value": -10.39295415220944, "params": [[[0.36910000000000004, 0.22740000000000002], [0.25370000000000004, -0.27990000000000004], [0.2609, -0.27790000000000004], [0.35700000000000004, -0.2209], [0.7988000000000001, -0.0], [0.8044, 0.0]], [[0.3715, 0.006500000000000001], [0.2541, 0.0036000... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.25 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 ... | 1 | 6 | 2 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.3691) q[0];
rz(0.2274) q[0];
rx(0.2537) q[1];
rz(-0.2799) q[1];
rx(0.2609) q[2];
rz(-0.2779) q[2];
rx(0.357) q[3];
rz(-0.2209) q[3];
rx(0.7988) q[4];
rz(0) q[4];
rx(0.8044) q[5];
rz(0) q[5];
rx(0.3715) q[0];
rz(0.0065) q[0];
rx(0.2541) q[1];
rz(0.0036) 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[... | {"k": 4} | {"circuits": [], "gradients": []} |
944d1e10c1efdd3cf89f3eb5fd93918c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5}]} | {"states": [0, 3], "expectation_value": -3.8136970474306606, "params": [0.10250000000000001, 0.637, -0.1071, 0.677, 0.0073, 0.4283, -0.0258, 0.4605, -0.20700000000000002, 0.4116, -0.22820000000000001, 0.6497, -0.33, 0.5700000000000001, -0.3249, 0.628, -0.32530000000000003, 0.6166, -0.3149, 0.6322, -0.249, 0.6735, -0.18... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * Z(1) + 1.0 * Z(0) + -1.0 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) | 6 | 5 | 4 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["00100", "11100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.1025) q[0];
rz(0.637) q[0];
rx(0.0073) q[1];
rz(0.4283) q[1];
rx(-0.207) q[2];
rz(0.4116) q[2];
rx(-0.33) q[3];
rz(0.57) q[3];
rx(-0.3253) q[4];
rz(0.6166) q[4];
crx(0.2169) q[4], q[3];
crx(0.1131) q[4], q[2];
crx(-0.0015) q[4], q[1];
crx(-0.3507) q[4], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} |
3d1dde02abe951da208ed22501079cfd | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [5, 7], "expectation_value": -16.029118944497437, "params": [0.1663, 0.1884, 0.1563, 0.1822, 0.1627, 0.2049, 0.17270000000000002, 0.2019, 0.1043, 0.2089, 0.4908, 0.09480000000000001, 0.4852, 0.0743, 0.4786, 0.10350000000000001, 0.16040000000000001, 0.18760000000000002, 0.1574, 0.17900000000000002, 0.161, 0.2... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 3 | 8 | 4 | {"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(0.1663) q[0];
rz(0.1884) q[0];
rx(0.1563) q[1];
rz(0.1822) q[1];
rx(0.1627) q[2];
rz(0.2049) q[2];
rx(0.1727) q[3];
rz(0.2019) q[3];
rx(0.1043) q[4];
rz(0.2089) q[4];
rx(0.4908) q[5];
rz(0.0948) q[5];
rx(0.4852) q[6];
rz(0.0743) q[6];
rx(0.4786) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} |
118037051d4e064ed30ce81580caf956 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [255, 3], "expectation_value": -0.1812109209901266, "params": [[0.0792], [-0.0867]], "bitstrings": ["100000000", "111111100"], "total_optimization_steps": 10, "probabilities": [0.0024273828126635745, 0.002623979937033289], "optimization_time": 2.3350706100463867} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + 1.0 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(4)) + -0.5 * (Z(7) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["111111100"]} | 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(-0.0396) q[0];
cx q[1], q[0];
cx q[1], q[6];
rz(-0.0396) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz(-0.0792) q[6];
cx q[0], q[6];
cx q[1], q[2];
rz(-0.0792) q[2];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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(x0) q[0];
cx q[1], q[0];
cx q[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
bd840c67c60de5e8a0e6837e43896a66 | 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": 4, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [119, 127], "expectation_value": -6.663532538423464, "params": null, "bitstrings": ["10001000", "10000000"], "total_optimization_steps": 78, "probabilities": [0.1829048044125119, 0.5236471156154194], "optimization_time": 102.64976644515991} | -1.0 * (Z(0) @ Z(3)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -1.5 * (Z(7) @ Z(6)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(6)) + -1.75 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + 1.0 * Z(3) + -0.25 * Z(0) + -1.25 * Z(6) + -0.75 * Z(7) + 0.25 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["10000000"]} | 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[4];
cry(1.5708) q[4], q[3];
cry(1.5626) q[7], q[6];
cry(1.2309) q[6], q[7];
cry(1.5486) q[3], q[5];
cry(1.5486) q[6], q[2];
cry(1.5626) q[5], q[1];
cry(-1.3016) q[7], q[0];
cry(0.7966... | 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[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[... |
9994d9c0864e8ab88d6d9169e088b46e | 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": 7, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 5}, {"weight": 11, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 6}, {... | {"states": [237, 122], "expectation_value": -23.85722838057859, "params": null, "bitstrings": ["00010010", "10000101"], "total_optimization_steps": 100, "probabilities": [0.0758429124261387, 0.08437980097930395], "optimization_time": 146.93020606040955} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(5) @ Z(6)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 11.5 * Z(0) + 14.0 *... | 1 | 8 | 2 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "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];
ry(7.7632) q[3];
ry(22.4081) q[2];
ry(-16.7951) q[6];
ry(-0.703) q[1];
cry(-50.9499) q[3], q[2];
cry(6.8919) q[6], q[2];
ry(18.2395) q[0];
cry(-40.388) q[3], q[1];
cry(-43.5144) q[6], q[1];
ry(-0.... | 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(7.7632) 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[... |
18dd4c426cbe67a44eb1a1feaa80acf2 | 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": 4, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [51, 119], "expectation_value": -6.9030415441186825, "params": null, "bitstrings": ["11001100", "10001000"], "total_optimization_steps": 69, "probabilities": [0.2168824596047679, 0.2675820057610101], "optimization_time": 90.26107215881348} | -1.0 * (Z(0) @ Z(4)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(5)) + 1.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + -1.75 * (Z(7) @ Z(1)) + -1.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-13.0, -13.0, -13.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -12.0, "smallest_bitstrings": ["10000000", "10001000", "10011110"]} | 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[2];
cry(1.4894) q[2], q[1];
ry(-1.5708) q[4];
ry(-1.5706) q[0];
cry(1.5708) q[1], q[7];
cry(1.5706) q[6], q[3];
cry(0.6139) q[1], q[6];
cry(0.2813) q[1], q[3];
cry(0.7223) q[3], q[6];... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\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[... |
eb37df157f972d0ca6ce6f2978928048 | 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": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [36, 5], "expectation_value": -3.5782610622400384, "params": null, "bitstrings": ["011011", "111010"], "total_optimization_steps": 19, "probabilities": [0.13580601683014493, 0.8593843333407868], "optimization_time": 9.962666273117065} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(4) + -0.75 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["111010"]} | 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[2];
cry(-1.5158) q[5], q[0];
ry(1.1269) q[5];
ry(-0.547) q[0];
ry(-1.3839) q[4];
ry(-1.3706) q[1];
ry(1.3569) q[3];
cry(0.309) q[3], q[5];
cry(-0.2118) q[3], q[0];
cry(0.191) q[5], q[3];
cry(-0.1824... | 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(-1.5486) 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... |
-485758261200529454 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 7], [10, 6], [4, 5], [9, 7], [9, 5], [1, 6], [3, 7], [2, 11], [3, 4], [0, 3], [11, 6], [8, 10], [2, 3], [8, 4], [3, 6], [9, 4], [0, 10], [8, 7], [9, 11], [9, 6], [0, 2], [0, 9], [8, 0]]} | {"states": [1614, 1870], "expectation_value": -2.856747319218382, "params": [0.5236000000000001, -0.22410000000000002, 0.5252, 0.0056, 0.9962000000000001, -0.0258, 1.0024, 0.0001, 0.9981000000000001, -0.0001, 0.9983000000000001, 0.01, 1.0046, 0.0028, 0.9966, -0.1968, 0.4253, -0.2411, 0.4184, 0.0082, 1.0008000000000001,... | 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(10) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(11) @ Z(6)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(... | 8 | 12 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5, -7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -6.5, "smallest_bitstrings": ["011101001110", "010101001111", "011100001110", "100010110001", "100011110001", "010100001111", "101011110000", "101010110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.5236) q[0];
rz(-0.2241) q[0];
rx(0.9962) q[1];
rz(-0.0258) q[1];
rx(0.9981) q[2];
rz(-0.0001) q[2];
rx(1.0046) q[3];
rz(0.0028) q[3];
rx(0.4253) q[4];
rz(-0.2411) q[4];
rx(1.0008) q[5];
rz(-0.1463) q[5];
rx(0.4589) q[6];
rz(0.3197) q[6];
rx(0.3917) 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": []} |
6592905597368295048 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[2, 3, 5, 7, 9, 10], [0, 1, 2, 3, 4, 7, 10], [0, 2, 5, 6, 7, 8], [0, 1, 2, 7, 8], [8, 0, 4, 5], [1, 2, 4, 6, 7], [3, 4, 5, 6, 7, 10], [0, 2, 10, 5], [0, 3, 4, 7, 8], [8, 9, 2, 4], [0, 3, 8, 9, 10], [0, 9, 4], [0, 1, 3, 5, 6, 7], [8, 0, 10, 7], [1, 3, 4, 7, 8,... | {"states": [2040, 2026], "expectation_value": -4.187457362436369, "params": [1.6407, 0.0167, 1.3461, 0.0019, 1.5967, 0.0906, 1.3947, 0.0033, 1.6514, 0.055, 1.3994, 0.008400000000000001, 1.6329, 0.1, 1.3804, 0.004200000000000001, 1.6139000000000001, 0.1369, 1.4707000000000001, 0.008700000000000001, 1.6201, 0.1263, 1.431... | 0.14761904761904762 * (Z(3) @ Z(4)) + 0.15714285714285714 * (Z(6) @ Z(4)) + 0.20714285714285713 * (Z(6) @ Z(3)) + 0.26428571428571423 * (Z(8) @ Z(4)) + 0.2476190476190476 * (Z(8) @ Z(3)) + 0.2238095238095238 * (Z(8) @ Z(6)) + 0.2833333333333333 * (Z(10) @ Z(4)) + 0.15 * (Z(10) @ Z(3)) + 0.03333333333333333 * (Z(10) @ Z... | 5 | 11 | 1 | {"smallest_eigenvalues": [-4.816666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.683333333333334, "smallest_bitstrings": ["00000010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.6407) q[0];
rz(0.0167) q[0];
rx(1.5967) q[1];
rz(0.0906) q[1];
rx(1.6514) q[2];
rz(0.055) q[2];
rx(1.6329) q[3];
rz(0.1) q[3];
rx(1.6139) q[4];
rz(0.1369) q[4];
rx(1.6201) q[5];
rz(0.1263) q[5];
rx(1.4442) q[6];
rz(0.2706) q[6];
rx(1.6366) q[7];
rz(0.07... | OPENQASM 3.0;
include "stdgates.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": []} |
f62281c68165f3e4d14cdd3e07ccca91 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [46, 43], "expectation_value": -5.9998989946825345, "params": null, "bitstrings": ["1010001", "1010100"], "total_optimization_steps": 37, "probabilities": [1.634990982098774e-05, 0.9999303746891435], "optimization_time": 47.099822759628296} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + -1.0 * Z(1) + -2.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) + -1.0 * Z... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["1010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[0];
ry(-1.5708) q[2];
ry(-1.4449) q[4];
ry(1.4449) q[5];
ry(1.4449) q[3];
ry(1.4417) q[1];
ry(1.4417) q[6];
cry(-0.1259) q[6], q[4];
cry(0.1217) q[5], q[1];
cry(0.1216) q[1], q[6];
cry(0.118... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... |
878d094d83cd61d556f3c6e9e2f56136 | 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": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 5, "source": 2, ... | {"states": [254, 63], "expectation_value": -12.291655159948053, "params": null, "bitstrings": ["00000001", "11000000"], "total_optimization_steps": 82, "probabilities": [0.13192227736430162, 0.8209440526583788], "optimization_time": 133.95910120010376} | -1.25 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.5 * (Z(6) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(3) @ Z(5)) + -0.75 * (Z(4) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -1.0 * (Z(7) @ Z(5)) + -0.75 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(4)) + -2.5 * Z(1) + -... | 1 | 8 | 1 | {"smallest_eigenvalues": [-13.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.25, "smallest_bitstrings": ["11000000"]} | 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[6];
cry(-1.5708) q[7], q[0];
ry(1.0383) q[7];
cry(-1.5708) q[7], q[1];
cry(-0.4375) q[6], q[0];
ry(1.5708) q[5];
ry(1.5708) q[3];
cry(0.1664) q[3], q[7];
ry(1.5594) q[2];
cry(1.3526) ... | 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[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
-7757969477431106495 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[3, 4, 5], [0, 4], [0, 1, 3], [0, 2], [1, 5], [1, 4], [0, 5]]} | {"states": [38, 52], "expectation_value": -2.152707498021864, "params": null, "bitstrings": ["011001", "001011"], "total_optimization_steps": 37, "probabilities": [0.08072802858358125, 0.7812174131492055], "optimization_time": 37.40959596633911} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.5 ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.499999999999999, "smallest_bitstrings": ["001011"]} | 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(1.2292) q[3];
cry(-1.0342) q[0], q[2];
ry(0.7191) q[0];
cry(-1.3217) q[1], q[4];
cry(-1.207) q[0], q[5];
ry(1.0972) q[1];
cry(-0.6879) q[0], q[4];
cry(0.3892) q[1], q[0];
ry(-0.6615) q[2];
cry(-0.4185) q[1], 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(1.2292) 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... |
585549533217390991 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 4, 5], [3, 5, 6], [0, 1, 2, 4, 6], [0, 1, 4, 5, 7], [3, 5, 7], [6, 7], [0, 5, 6], [0, 1, 2, 7], [1, 3, 7]]} | {"states": [210, 218], "expectation_value": -0.4634137449646314, "params": [[-0.17470000000000002], [0.1689]], "bitstrings": ["00101101", "00100101"], "total_optimization_steps": 20, "probabilities": [0.005692253475513611, 0.005750966834834792], "optimization_time": 1.3512356281280518} | 0.08333333333333333 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.18333333333333335 * (Z(4) @ Z(0)) + 0.41666666666666663 * (Z(5) @ Z(3)) + 0.3 * (Z(5) @ Z(0)) + 0.13333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.21666666666666667 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(4)) + 0.3333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.3166666666666673], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3166666666666664, "smallest_bitstrings": ["00100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(-0.0291) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(-0.0291) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.0641) q[4];
cx q[0], q[4];
cx q[3], q[5];
rz(-0.1456) q[5];
cx q[3], q[5];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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": []} |
-2003614610574528410 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 5], [2, 3, 4], [0, 6], [1, 3]]} | {"states": [13, 76], "expectation_value": -0.019941333758017446, "params": [[0.0591], [-0.0485]], "bitstrings": ["1110010", "0110011"], "total_optimization_steps": 10, "probabilities": [0.00812773587996356, 0.00812773587996356], "optimization_time": 1.2886157035827637} | 0.5 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(5) + 0.16666666666666674 * Z(3) + 0.16666666666666666 * Z(2) + 0.16666666666666666 * Z(4) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(1) | 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": ["0001001", "1100110", "0110011", "0100111", "1110010", "10010... | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[3];
rz(0.0591) q[3];
cx q[5], q[3];
cx q[3], q[2];
rz(0.0197) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(0.0197) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(0.0197) q[4];
cx q[2], q[4];
cx q[6], q[0];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[3];
rz(x0) q[3];
cx q[5], q[3];
cx q[3], q[2];
rz(x1) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(x1) q[4];
cx q[3], q... | null | {"circuits": [], "gradients": []} |
cf6781246fc66f87fa6a567e8619e23b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [17, 1], "expectation_value": -6.208371982375844, "params": null, "bitstrings": ["1101110", "1111110"], "total_optimization_steps": 25, "probabilities": [0.2576764967213142, 0.5730478938816137], "optimization_time": 20.177637815475464} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(5)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(4)) + 1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + 0.25 * Z(1) + -0.25 * Z(0) + -1.25 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.75, -6.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.75, "smallest_bitstrings": ["1111110", "1101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5706) q[5];
ry(-1.5706) q[3];
cry(-1.5626) q[6], q[0];
ry(1.1543) q[6];
ry(-0.5561) q[0];
cry(-1.5583) q[6], q[1];
ry(-1.5486) q[4];
cry(0.2163) q[2], q[6];
cry(-0.0808) q[2], q[0];
cry(0.3525) q[1]... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5706) 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", ... |
69144809aea48cb46eae9c3950f24a15 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [0, 2], "expectation_value": -0.049159453746699514, "params": [[0.07060000000000001], [-0.0543]], "bitstrings": ["111", "101"], "total_optimization_steps": 10, "probabilities": [0.1259850229605453, 0.13168746949554103], "optimization_time": 0.5378868579864502} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + -1.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(2) | 1 | 3 | 1 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.0706) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.0706) q[0];
cx q[1], q[0];
rz(-0.1412) q[0];
rz(-0.0706) q[1];
rz(-0.1412) q[2];
h q[0];
rz(-0.1086) q[0];
h q[0];
h q[1];
rz(-0.1086) q[1];
h q[1];
h q[2];
rz(-0.1086) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
rz(x1) q[0];
rz(x2) q[1];
rz(x1) q[2];
h q[0];
rz(x3) q[0];
h q[0];
h ... | null | {"circuits": [], "gradients": []} |
d829d3dc25740419582987a309632564 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [941, 942], "expectation_value": -2.7679940096311015, "params": [[[0.4556, -0.005], [0.9006000000000001, -0.0048000000000000004], [0.8938, -0.0033], [0.9018, 0.019], [-0.0012000000000000001, 0.0119], [0.8499, -0.015600000000000001], [0.07730000000000001, 0.1254], [0.8005, 0.7086], [0.8907, 0.8713000000000001... | 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(... | 15 | 11 | 3 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.8125, "smallest_bitstrings": ["10001001010", "01001010100", "10001010010", "10001010001", "10001110000", "10001100010", "00101100100", "10101100000"... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.4556) q[0];
ry(0.9006) q[1];
ry(0.8938) q[2];
ry(0.9018) q[3];
ry(-0.0012) q[4];
ry(0.8499) q[5];
ry(0.0773) q[6];
ry(0.8005) q[7];
ry(0.8907) q[8];
ry(0.7662) q[9];
ry(0.3532) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
ad7ba83290870f78ee39f06faaa6d5c0 | 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": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [125, 127], "expectation_value": -6.144746033732121, "params": null, "bitstrings": ["10000010", "10000000"], "total_optimization_steps": 59, "probabilities": [0.3669769650464584, 0.3669769650464584], "optimization_time": 71.49815249443054} | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(7)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(6)... | 1 | 8 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["10000000", "10000110", "10000010"]} | 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(1.5706) q[3];
ry(1.5708) q[2];
cry(1.5708) q[3], q[1];
cry(1.3016) q[7], q[4];
cry(1.18) q[4], q[7];
cry(-1.308) q[7], q[0];
cry(1.0342) q[3], q[5];
cry(0.3915) q[2], q[5];
cry(-0.227) q[4], q[... | 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(1.5706) 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[... |
052f5413dadab5b2c2674167b57c0654 | 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": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 3}, {"sour... | {"states": [10, 266], "expectation_value": -6.984082188074078, "params": [0.4932, 0.49110000000000004, 0.2918, 0.2887, -0.0018000000000000002, -0.0032, -0.0041, -0.0051, -0.0082, -0.0081, 0.4979, 0.49010000000000004, -0.012700000000000001, -0.0152, 0.4978, 0.4983, -0.0051, -0.0044, 0.4932, 0.49200000000000005, 0.2903, ... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) ... | 13 | 9 | 2 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -7.0, "smallest_bitstrings": ["000111111", "001111101", "111100101", "111100011", "100111011", "011110101", "111110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.4932) q[0];
ry(0.2918) q[1];
ry(-0.0018) q[2];
ry(-0.0041) q[3];
ry(-0.0082) q[4];
ry(0.4979) q[5];
ry(-0.0127) q[6];
ry(0.4978) q[7];
ry(-0.0051) q[8];
crz(0.2857) q[8], q[0];
crz(-0.006) q[7], q[8];
crz(0.2476) q[6], q[7];
crz(-0.0208) q[5], q[6];
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": []} |
5309148990881866697 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[5, 6], [2, 3], [0, 5], [3, 6], [4, 6], [1, 6], [0, 1], [1, 2]]} | {"states": [108, 46], "expectation_value": -3.2601982925040933, "params": null, "bitstrings": ["0010011", "1010001"], "total_optimization_steps": 57, "probabilities": [0.09974549729020596, 0.7384181773135707], "optimization_time": 54.59859323501587} | 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.0 * Z(6) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(1) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["0101110", "1010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.0342) q[5], q[6];
cry(-1.0342) q[3], q[2];
ry(1.0293) q[3];
cry(1.4052) q[3], q[1];
cry(-0.9035) q[1], q[2];
cry(-0.7688) q[3], q[6];
cry(-1.4141) q[5], q[0];
ry(1.0622) q[5];
cry(-0.6505) q[1], q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
44dacfe202593d38d27b1900f1e3c9cb | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [44, 112], "expectation_value": -0.5455166912946774, "params": [[0.0016, -0.047900000000000005, -0.0726], [-0.060200000000000004, 0.0228, 0.06770000000000001]], "bitstrings": ["1010011", "0001111"], "total_optimization_steps": 10, "probabilities": [0.009826664190492863, 0.009829418082403767], "optimization_t... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * Z(4) + -1.0 * Z(0) + -2.0 * Z(5) + -1.5 * Z(6) + 0.0 * Z(1) + -1.0 * Z(... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1010011", "0010111", "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[4], q[0];
rz(0.0016) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(0.0016) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(0.0016) q[5];
cx q[0], q[5];
cx q[4], q[6];
rz(0.0016) q[6];
cx q[4], q[6];
cx q[0], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
9a45eb902a3c7549ff4006616ccdcfc8 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capac... | {"states": [0, 1], "expectation_value": -12.210453814790112, "params": [-0.0051, -0.07540000000000001, 0.0018000000000000002, -0.12300000000000001, 0.0005, -0.1316, 0.0031000000000000003, -0.1399, 0.0018000000000000002, -0.1504, 0.0035, -0.15130000000000002, 0.0061, -0.1468, 0.0048000000000000004, -0.1452, 0.0051, -0.1... | -0.75 * (Z(0) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(5)) + 2.5 * (Z(9) @ Z(0)) + -0.75 * (Z(9) @ Z(7)) + -0.25 * (Z(1) @ Z(9)) + -0.5 * (Z(2) @ Z(7)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(8) @ Z(3)) + -0.75 * (Z(8)... | 5 | 10 | 4 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0051) q[0];
rz(-0.0754) q[0];
rx(0.0005) q[1];
rz(-0.1316) q[1];
rx(0.0018) q[2];
rz(-0.1504) q[2];
rx(0.0061) q[3];
rz(-0.1468) q[3];
rx(0.0051) q[4];
rz(-0.109) q[4];
rx(0.0002) q[5];
rz(-0.137) q[5];
rx(0.0024) q[6];
rz(-0.1464) q[6];
rx(0.0023) q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
082a088e0d8cf5644bb54063ea0af58e | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [0, 1984], "expectation_value": -25.221419870508665, "params": [[[0.0027, 0.0006000000000000001], [0.0023, 0.0078000000000000005], [0.0027, 0.0026000000000000003], [0.0027, 0.0059], [1.6005, 0.0037], [1.1747, 0.0046], [0.0019, 0.008], [0.002, 0.005200000000000001], [0.0027, 0.0058000000000000005], [-0.0027, ... | -2.5 * (Z(0) @ Z(2)) + 1.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(0)) + -2.5 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(3)) + -2.5 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(5)) + -2.5 * (Z(6) @ Z(8)) + 0.5 ... | 2 | 11 | 1 | {"smallest_eigenvalues": [-28.0, -28.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -27.0, "smallest_bitstrings": ["00000100010", "00000111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0027) q[0];
rz(0.0006) q[0];
rx(0.0023) q[1];
rz(0.0078) q[1];
rx(0.0027) q[2];
rz(0.0026) q[2];
rx(0.0027) q[3];
rz(0.0059) q[3];
rx(1.6005) q[4];
rz(0.0037) q[4];
rx(1.1747) q[5];
rz(0.0046) q[5];
rx(0.0019) q[6];
rz(0.008) q[6];
rx(0.002) 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] x2;
input float[64] x3;
input float[6... | {"node": 5} | {"circuits": [], "gradients": []} |
bb51b85a8f0cca1e878093cb2d4e9f25 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [18, 3], "expectation_value": -14.842345072431947, "params": null, "bitstrings": ["101101", "111100"], "total_optimization_steps": 51, "probabilities": [0.10238766939330543, 0.5694301130604257], "optimization_time": 61.683356285095215} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.25 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 ... | 14 | 6 | 4 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-0.069) q[1];
ry(-0.1184) q[2];
ry(-0.2968) q[0];
ry(-0.6213) q[3];
cry(-1.4512) q[4], q[2];
cry(-1.274) q[5], q[0];
cry(-0.9495) q[1], q[3];
cry(-1.2937) q[5], q[1];
ry(0.6626) q[5];
cry(-0.4713) q[4], q[0];
... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-0.069) 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 \"stdgat... |
7680662388352622551 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 6], [0, 2, 4, 5, 8, 9], [0, 1, 2, 3, 5, 8], [1, 3, 5, 6], [1, 3, 6, 7, 9], [11, 5, 6, 7], [1, 4, 5, 6, 10], [0, 1, 3, 6, 11], [8, 10, 11], [1, 5, 8, 9, 11], [1, 2, 4, 5, 7, 8], [1, 5, 8, 9, 10], [1, 2, 3, 4, 7, 8], [1, 4, 5, 7, 9, 10], [9, 2, 7], [0, ... | {"states": [2302, 2558], "expectation_value": -4.003021152955567, "params": [2.1001000000000003, 0.6577000000000001, 0.7220000000000001, 0.7873, 0.5044000000000001, 0.8642000000000001, 1.0387, -0.45420000000000005, 1.9455, 0.0031000000000000003, 2.0855, -0.0021000000000000003, 2.0423, -0.0033, 2.091, -0.0033, 2.0998, -... | 0.5 * (Z(2) @ Z(6)) + 0.1 * (Z(0) @ Z(6)) + 0.1 * (Z(0) @ Z(2)) + 0.05 * (Z(4) @ Z(6)) + 0.18333333333333335 * (Z(4) @ Z(2)) + 0.06666666666666667 * (Z(4) @ Z(0)) + 0.21666666666666667 * (Z(5) @ Z(6)) + 0.13333333333333333 * (Z(5) @ Z(2)) + 0.1 * (Z(5) @ Z(0)) + 0.15 * (Z(5) @ Z(4)) + 0.13333333333333333 * (Z(8) @ Z(2)... | 4 | 12 | 1 | {"smallest_eigenvalues": [-5.016666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.999999999999999, "smallest_bitstrings": ["011000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(2.1001) q[0];
rz(0.6577) q[0];
rx(0.722) q[1];
rz(0.7873) q[1];
rx(0.5044) q[2];
rz(0.8642) q[2];
rx(1.0387) q[3];
rz(-0.4542) q[3];
rx(1.9455) q[4];
rz(0.0031) q[4];
rx(2.0855) q[5];
rz(-0.0021) q[5];
rx(2.0423) q[6];
rz(-0.0033) q[6];
rx(2.091) 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": []} |
59b55089c15cad6a91f754f2be38a436 | 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": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [687, 685], "expectation_value": -2.4962307213711106, "params": [[[0.007200000000000001, 0.0061], [0.0286, 0.0089], [0.7348, 0.033], [0.0245, -0.0273], [0.7453000000000001, -0.1331], [0.2812, -0.111], [-0.3265, 0.8956000000000001], [-0.20320000000000002, 0.46330000000000005], [0.3632, 0.8983000000000001], [0... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(4) @ Z(2)) + -0.125 * (Z(0) @ Z(4) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(4) @ Z(2... | 15 | 10 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.25, "smallest_bitstrings": ["0101001100", "0100101100", "0101010010", "0110001100", "0110001001", "0111010000", "011... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0072) q[0];
ry(0.0286) q[1];
ry(0.7348) q[2];
ry(0.0245) q[3];
ry(0.7453) q[4];
ry(0.2812) q[5];
ry(-0.3265) q[6];
ry(-0.2032) q[7];
ry(0.3632) q[8];
ry(0.9018) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
a7b6961c0e010c5cd9220aed7c02d87e | min_cut | 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": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 2, "target": 1}, {"capaci... | {"states": [10, 11], "expectation_value": -4.999986795282007, "params": null, "bitstrings": ["110101", "110100"], "total_optimization_steps": 20, "probabilities": [1.808493766232e-06, 0.9999959237008993], "optimization_time": 16.14246916770935} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + 1.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.75 * Z(2) + 0.25 ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.5486) q[4];
ry(1.5681) q[2];
ry(1.5681) q[5];
cry(-1.5706) q[2], q[0];
ry(-1.445) q[1];
ry(-1.4418) q[3];
cry(-0.1257) q[5], q[1];
cry(-0.1218) q[5], q[3];
cry(0.021) q[2], q[4];
cry(-0.0002) q[5], q[0];
cry... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5486) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
d818fda00fd32b5d1f2df2162e297b77 | 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": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"sour... | {"states": [433, 305], "expectation_value": -8.240006086393997, "params": [0.4021, 0.39880000000000004, 0.17170000000000002, 0.1691, -0.0022, -0.0016, 0.39780000000000004, 0.40140000000000003, 0.39780000000000004, 0.39940000000000003, -0.0109, -0.0024000000000000002, 0.004, 0.0049, -0.0078000000000000005, -0.0033, 0.35... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) ... | 14 | 9 | 3 | {"smallest_eigenvalues": [-9.0, -9.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.0, "smallest_bitstrings": ["001001111", "011001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.4021) q[0];
ry(0.1717) q[1];
ry(-0.0022) q[2];
ry(0.3978) q[3];
ry(0.3978) q[4];
ry(-0.0109) q[5];
ry(0.004) q[6];
ry(-0.0078) q[7];
ry(0.3575) q[8];
crx(0.2594) q[8], q[0];
crx(-0.2349) q[7], q[8];
crx(-0.2072) q[6], q[7];
crx(-0.1108) q[5], q[6];
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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input flo... | null | {"circuits": [], "gradients": []} |
-7333735790520678795 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[2, 3, 4], [0, 1, 2, 4], [0, 1, 3]]} | {"states": [19, 22], "expectation_value": -0.017853875101860418, "params": [[-0.0669], [0.06910000000000001]], "bitstrings": ["01100", "01001"], "total_optimization_steps": 10, "probabilities": [0.03202034406390325, 0.032020344063903264], "optimization_time": 1.1906793117523193} | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z... | 1 | 5 | 1 | {"smallest_eigenvalues": [-0.8333333333333334, -0.8333333333333334, -0.8333333333333334], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.8333333333333333, "smallest_bitstrings": ["10001", "01100", "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[3], q[2];
rz(-0.0223) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(-0.0223) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.0335) q[4];
cx q[2], q[4];
cx q[3], q[0];
rz(-0.0223) q[0];
cx q[3], q[0];
cx q[2], q[0];
rz(-0.0112) 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[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4];
cx q[2], q[4];... | null | {"circuits": [], "gradients": []} |
904a2660d429b6f5e4d7bf41f7596568 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [238, 110], "expectation_value": -59.6322545158905, "params": [1.4965000000000002, 0.0051, 2.9998, 0.0054, 2.9837000000000002, 0.0058000000000000005, 1.1396, 0.0038, 2.9987000000000004, 0.0098, 2.9909000000000003, 0.0037, 2.9917000000000002, 0.0031000000000000003, 0.6199, 0.0081, 0.0064, 0.0037, 0.0031000000... | 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(5)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(6) @ Z(0)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(7) @ Z(6)) + 10.0 * Z(0) + 13.0 * Z(2) + 14.5 * Z(1) + 14.0 * Z(5) + 7.5 * Z(3) + 15.5 * Z(... | 18 | 8 | 1 | {"smallest_eigenvalues": [-73.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.0, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.4965) q[0];
rz(0.0051) q[0];
rx(2.9998) q[1];
rz(0.0054) q[1];
rx(2.9837) q[2];
rz(0.0058) q[2];
rx(1.1396) q[3];
rz(0.0038) q[3];
rx(2.9987) q[4];
rz(0.0098) q[4];
rx(2.9909) q[5];
rz(0.0037) q[5];
rx(2.9917) q[6];
rz(0.0031) q[6];
rx(0.6199) 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], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
9720f25e266b706fd55bd4bfdba0ffde | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 7}, {"capac... | {"states": [1, 3], "expectation_value": -12.853550472893167, "params": [0.0004, -0.2422, -0.006200000000000001, -0.3194, -0.0037, -0.3357, -0.00030000000000000003, -0.3634, -0.0009000000000000001, -0.37060000000000004, -0.0047, -0.36810000000000004, -0.005200000000000001, -0.27, 0.0013000000000000002, -0.36160000000000... | -0.75 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(7)) + -0.75 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(6)) + 2.25 * (Z(9)... | 5 | 10 | 2 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["1111111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0004) q[0];
rz(-0.2422) q[0];
rx(-0.0037) q[1];
rz(-0.3357) q[1];
rx(-0.0009) q[2];
rz(-0.3706) q[2];
rx(-0.0052) q[3];
rz(-0.27) q[3];
rx(-0.0016) q[4];
rz(-0.3581) q[4];
rx(-0.0034) q[5];
rz(-0.3612) q[5];
rx(-0.0053) q[6];
rz(-0.2854) q[6];
rx(-0.000... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
a420edfdaf22a318558585a067a875f5 | 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": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3},... | {"states": [2041, 2040], "expectation_value": -17.744397531977803, "params": [[[-1.1298000000000001, 2.3251], [-0.0035, 0.8179000000000001], [-0.0029000000000000002, -0.0026000000000000003], [-0.0023, -0.0027], [-0.0023, 0.0022], [-0.0028, -0.0027], [-0.0032, -0.0031000000000000003], [-0.0025, -0.0027], [-0.00210000000... | -2.0 * (Z(0) @ Z(3)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(4) @ Z(5)) + -2.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + 0.... | 15 | 11 | 1 | {"smallest_eigenvalues": [-19.5, -19.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -18.5, "smallest_bitstrings": ["00000000111", "00000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-1.1298) q[0];
ry(-0.0035) q[1];
ry(-0.0029) q[2];
ry(-0.0023) q[3];
ry(-0.0023) q[4];
ry(-0.0028) q[5];
ry(-0.0032) q[6];
ry(-0.0025) q[7];
ry(-0.0021) q[8];
ry(1.6403) q[9];
ry(-0.0014) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"node": 11} | {"circuits": [], "gradients": []} |
bf94e6406551047eb54e98577948dda2 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"sour... | {"states": [0, 7], "expectation_value": -15.541650608184192, "params": [[[0.0024000000000000002, 0.0012000000000000001, 0.0037, 0.0046], [0.0027, 0.0012000000000000001, 0.0026000000000000003, 0.0012000000000000001], [0.0024000000000000002, 1.1756, 0.0024000000000000002, 0.004], [0.0022, -0.024800000000000003, 0.0022, 0... | -2.0 * (Z(0) @ Z(1)) + -3.0 * (Z(3) @ Z(1)) + 1.0 * (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)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + 1.5 * Z(1) + -2.0 * Z(0) + -2.5 * Z(3) + -2.0 * Z... | 11 | 8 | 1 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.0024) q[0];
rz(0.0012) q[0];
ry(0.0027) q[1];
rz(0.0012) q[1];
ry(0.0024) q[2];
rz(1.1756) q[2];
ry(0.0022) q[3];
rz(-0.0248) q[3];
ry(0.0024) q[4];
rz(1.1602) q[4];
ry(-0.0024) q[5];
rz(0) q[5];
ry(0.0838) q[6];
rz(-0.0026) q[6];
ry(1.5987) 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[... | {"node": 2} | {"circuits": [], "gradients": []} |
-1683846490587467933 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 6], [1, 2, 3, 4], [3, 5], [0, 2, 5, 6], [2, 3, 4, 6]]} | {"states": [23, 118], "expectation_value": -0.585964779684956, "params": [[0.36660000000000004], [-0.35250000000000004]], "bitstrings": ["1101000", "0001001"], "total_optimization_steps": 40, "probabilities": [0.019753781808265723, 0.019888884828930805], "optimization_time": 3.7036333084106445} | 0.5 * (Z(1) @ Z(6)) + 0.16666666666666666 * (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(6)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6666666666666665, "smallest_bitstrings": ["0001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[1];
rz(0.3666) q[1];
cx q[6], q[1];
cx q[6], q[2];
rz(0.1222) q[2];
cx q[6], q[2];
cx q[1], q[2];
rz(0.0611) q[2];
cx q[1], q[2];
cx q[6], q[3];
rz(0.0611) q[3];
cx q[6], q[3];
cx q[1], q[3];
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;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[1];
rz(x0) q[1];
cx q[6], q[1];
cx q[6], q[2];
rz(x1)... | null | {"circuits": [], "gradients": []} |
f20b14ccaf46fd91ed39b9c05edbe906 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target"... | {"states": [53, 78], "expectation_value": -0.028544669564749204, "params": [[-0.0408, 0.043000000000000003], [0.0629, -0.022000000000000002]], "bitstrings": ["1001010", "0110001"], "total_optimization_steps": 10, "probabilities": [0.008183814824023302, 0.008183814824023321], "optimization_time": 5.374711275100708} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(0) @ Z(6)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.12... | 1 | 7 | 2 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -1.125, "smallest_bitstrings": ["1010001", "1001010", "0110001", "1110000", "1011000", "0101100", "1010010", "0110100", "1001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0408) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.0408) q[2];
cx q[3], q[2];
cx q[2], q[4];
rz(-0.0204) q[4];
cx q[2], q[4];
cx q[2], q[5];
rz(-0.0204) q[5];
cx q[2], q[5];
cx q[5], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} |
6913e77a092e6b8e92c97148a6d379f5 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [41, 21], "expectation_value": -0.021001771010158404, "params": [[0.0317], [-0.020800000000000003]], "bitstrings": ["010110", "101010"], "total_optimization_steps": 10, "probabilities": [0.01583174423850937, 0.015872590118470264], "optimization_time": 1.0667986869812012} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + 0.0 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + -0.5 * Z(3) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["101010", "011010", "010110"]} | 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(0.0317) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0317) q[2];
cx q[1], q[2];
cx q[1], q[4];
rz(0.0317) q[4];
cx q[1], q[4];
cx q[2], q[4];
rz(0.0317) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(0.0317... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[1... | null | {"circuits": [], "gradients": []} |
ee0f00774b6823d75df9b3d1e8947ebf | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [36, 96], "expectation_value": -5.973037878567778, "params": null, "bitstrings": ["1011011", "0011111"], "total_optimization_steps": 17, "probabilities": [0.07436440049517294, 0.8991250369535025], "optimization_time": 17.162708044052124} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.0, "smallest_bitstrings": ["0111110", "1011011", "1010111", "0011111", "1111001", "1001111"]} | 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(-1.5708) q[3];
ry(-1.5681) q[6];
ry(-1.4449) q[2];
ry(1.4449) q[1];
cry(-1.0398) q[0], q[4];
ry(0.6944) q[0];
ry(-0.451) q[4];
cry(0.4963) q[1], q[0];
cry(-0.3778) q[1], q[4];
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", ... |
28550855a20366800e3fd917bf6489e0 | 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": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [17, 1], "expectation_value": -5.062217743352777, "params": null, "bitstrings": ["11101110", "11111110"], "total_optimization_steps": 27, "probabilities": [0.15063236032211283, 0.6761288203102811], "optimization_time": 28.24468207359314} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(5)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["11101110", "11111110", "11100110", "10000000"]} | 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(-1.5486) q[7], q[0];
ry(1.035) q[7];
ry(-0.4546) q[0];
ry(-1.5039) q[6];
ry(-1.5696) q[5];
ry(-1.5299) q[1];
ry(-1.4553) q[2];
ry(-1.4442) q[4];
cry(0.3186) q[3], q[7];
cry(-0.2529) q[3], q[0]... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.5486) q[7], 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] = me... |
7d8b3d8ceec2d81b644dfcbc98592f50 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [33, 48], "expectation_value": -3.973037742586125, "params": null, "bitstrings": ["011110", "001111"], "total_optimization_steps": 16, "probabilities": [0.07436458640658362, 0.8991243516134904], "optimization_time": 12.67185115814209} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(2) + 0.0 * Z(0) + -1.5 * Z(1) + -1.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["110110", "011101", "011110", "001111", "011011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[2];
ry(-1.5681) q[4];
ry(-1.4449) q[3];
ry(1.4449) q[0];
cry(-1.0398) q[1], q[5];
ry(0.6944) q[1];
ry(-0.451) q[5];
cry(0.4963) q[0], q[1];
cry(-0.3778) q[0], q[5];
cry(-0.1177) q[0], q[3];
cry(0.10... | 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... |
9e3fd441307ea46e321a51e29b173f1a | max_flow | 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": 5}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 3, "source": 3, "target": 1}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [231, 239], "expectation_value": -16.71400978746558, "params": [0.0027, 1.7579, 0.0002, 1.7462, -0.0026000000000000003, 1.1777, 1.2966, 0.2013, 1.5729, 0.0021000000000000003, 1.5656, 0.003, -0.0025, -1.2691000000000001, 0.7722, -0.4117, 1.6083, -0.0094, 2.1101, 0.001, 0.9374, 0.004, 0.0027, 0.006800000000000... | 2.0 * (Z(4) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(10) @ Z(6)) + 1.0 * (Z(10) @ Z(9)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(9)) + -0.5 * (Z(2) @ Z(10)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(6)) + -... | 16 | 11 | 2 | {"smallest_eigenvalues": [-17.25, -17.25, -17.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -16.25, "smallest_bitstrings": ["11000000000", "11010010000", "11100010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0027) q[0];
rz(1.7579) q[0];
rx(0.0002) q[1];
rz(1.7462) q[1];
rx(-0.0026) q[2];
rz(1.1777) q[2];
rx(1.2966) q[3];
rz(0.2013) q[3];
rx(1.5729) q[4];
rz(0.0021) q[4];
rx(1.5656) q[5];
rz(0.003) q[5];
rx(-0.0025) q[6];
rz(-1.2691) q[6];
rx(0.7722) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
0541faf635a6399f550a5b5935bfa17a | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [502, 733], "expectation_value": -0.15526547137983965, "params": [[-0.0616, -0.0449, 0.048400000000000006], [0.07730000000000001, 0.07010000000000001, 0.013900000000000001]], "bitstrings": ["1000001001", "0100100010"], "total_optimization_steps": 10, "probabilities": [0.0013743704713961734, 0.001374570090763... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 1 | 10 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100010100", "0011000010", "1000001001", "0010011000", "0100100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(-0.0308) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0308) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0308) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
dc8ac5f82febba9dcace181eb5c76eb3 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": ... | {"states": [58, 102], "expectation_value": -2.8905700275954436, "params": null, "bitstrings": ["1000101", "0011001"], "total_optimization_steps": 42, "probabilities": [0.08381860736615872, 0.6201950117718926], "optimization_time": 54.759886741638184} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(1) @ Z(3) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.375, -3.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.375, "smallest_bitstrings": ["0011001", "1000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5681) q[6];
cry(-1.3016) q[4], q[2];
ry(1.3016) q[5];
cry(-1.298) q[0], q[3];
ry(1.015) q[1];
cry(-0.4699) q[0], q[2];
cry(0.8316) q[0], q[4];
cry(-0.4255) q[4], q[3];
cry(0.8476) q[4], 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(-1.5681) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
f20b14ccaf46fd91ed39b9c05edbe906 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target"... | {"states": [78, 46], "expectation_value": -1.8264666766165711, "params": null, "bitstrings": ["0110001", "1010001"], "total_optimization_steps": 55, "probabilities": [0.08695454096584285, 0.7299681582743718], "optimization_time": 86.29898762702942} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(0) @ Z(6)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.12... | 1 | 7 | 4 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -1.125, "smallest_bitstrings": ["1010001", "1001010", "0110001", "1110000", "1011000", "0101100", "1010010", "0110100", "1001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.3016) q[3], q[2];
cry(-1.3016) q[1], q[0];
ry(1.0216) q[5];
cry(-0.4707) q[4], q[2];
ry(0.7782) q[4];
cry(0.6605) q[4], q[3];
cry(-0.3396) q[5], q[2];
cry(-0.4282) q[6], q[0];
cry(0.5413) q[3], q[4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.3016) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
9994d9c0864e8ab88d6d9169e088b46e | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 5}, {"weight": 11, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 6}, {... | {"states": [250, 122], "expectation_value": -56.859716186466486, "params": [0.778, -0.4006, 1.5819, -0.0224, 1.5791000000000002, 0.0034000000000000002, 1.587, -0.002, 1.5859, 0.3003, 0.24880000000000002, 0.7666000000000001, 1.5872000000000002, 0.226, 0.7485, 0.5176000000000001, 0.7799, 0.0038, 1.5766, 0.0088, 1.5776000... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(5) @ Z(6)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 11.5 * Z(0) + 14.0 *... | 18 | 8 | 2 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.778) q[0];
rz(-0.4006) q[0];
rx(1.5819) q[1];
rz(-0.0224) q[1];
rx(1.5791) q[2];
rz(0.0034) q[2];
rx(1.587) q[3];
rz(-0.002) q[3];
rx(1.5859) q[4];
rz(0.3003) q[4];
rx(0.2488) q[5];
rz(0.7666) q[5];
rx(1.5872) q[6];
rz(0.226) q[6];
rx(0.7485) q[7];
rz(0.5... | 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": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
8132b10ac38df5471a34294b4475c3f4 | 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": 0, "id": 8}, {"bipartite":... | {"states": [123, 115], "expectation_value": -63.879191580734506, "params": [0.0011, 0.3503, 0.0014, 0.3899, 0.2655, 0.1961, 0.6021000000000001, 0.0047, 0.5972000000000001, -0.0017000000000000001, 0.6044, 0.1073, 0.35550000000000004, 0.19410000000000002, 0.3109, 0.21380000000000002, 0.5988, 0.013800000000000002, 0.603, ... | 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(6) @ Z(3)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(1) @ Z(5)) + 7.5 * (Z(7) @ Z(4)) + 7.5 * (Z(8) @ Z(4)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(0) @ Z(9)) + 15.0 * Z(3) + 1.5 * Z(2) + 22.0 * Z(4) + 3.5 * Z(6) + 9.0 * Z(5) + -7.0 * Z(1) + 2.0 * Z(7) + 9.0 * ... | 18 | 10 | 4 | {"smallest_eigenvalues": [-102.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -97.5, "smallest_bitstrings": ["1110001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0011) q[0];
rz(0.3503) q[0];
rx(0.0014) q[1];
rz(0.3899) q[1];
rx(0.2655) q[2];
rz(0.1961) q[2];
rx(0.6021) q[3];
rz(0.0047) q[3];
rx(0.5972) q[4];
rz(-0.0017) q[4];
rx(0.6044) q[5];
rz(0.1073) q[5];
rx(0.3555) q[6];
rz(0.1941) q[6];
rx(0.3109) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
2df93713dba52fbc8f2926f6b2fd57be | max_flow | 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": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 3, ... | {"states": [32767, 30719], "expectation_value": -18.37200519176728, "params": [[[0.2462, -0.0106, 0.005200000000000001, 0.0029000000000000002], [0.8023, 0.1384, 0.2104, -0.1704], [-0.0137, -0.33990000000000004, -0.0599, 0.17750000000000002], [0.002, -0.633, 0.1241, 0.0784], [-0.0714, -0.2841, 0.0668, -0.3174], [0.0014,... | 0.375 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(13) @ Z(4)) + 0.5 * (Z(13) @ Z(2)) + 0.5 * (Z(13) @ Z(5)) + 0.5 * (Z(14) @ Z(4)) + 0.5 * (Z(14) @ Z(2)) + 0.5 * (Z(14) @ Z(5)) + 1.0 * (Z(14) @ Z(13)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.... | 11 | 15 | 4 | {"smallest_eigenvalues": [-18.6249999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.37499999999942, "smallest_bitstrings": ["000100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
ry(0.2462) q[0];
rz(-0.0106) q[0];
ry(0.8023) q[1];
rz(0.1384) q[1];
ry(-0.0137) q[2];
rz(-0.3399) q[2];
ry(0.002) q[3];
rz(-0.633) q[3];
ry(-0.0714) q[4];
rz(-0.2841) q[4];
ry(0.0014) q[5];
rz(-0.2879) q[5];
ry(0.0551) q[6];
rz(0.3733) q[6];
ry(-0.0002) q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 7} | {"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": -12.66339047984346, "params": null, "bitstrings": ["1110001", "1111000"], "total_optimization_steps": 63, "probabilities": [0.10630209494910714, 0.6109519875068035], "optimization_time": 85.98080897331238} | 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": [-13.75], "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", ... |
1536b63d241483fb5dc02588be4ba19b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [35, 97], "expectation_value": -3.1896578094099013, "params": [0.2939, -0.10250000000000001, 0.2894, -0.1005, 0.3095, -0.0862, 0.3043, -0.0182, -0.0151, 0.1516, -0.0165, 0.149, 0.2872, -0.1039, 0.2846, -0.098, -0.0051, 0.1666, -0.0009000000000000001, 0.1585, 0.2841, -0.10070000000000001, 0.2894, -0.0737, 0.2... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(3) + -0.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -2.0 * Z(2) + -0.5 * Z(5) + -1.0 * Z(6) | 5 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011110", "1010101", "0011101", "1010110", "1110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.2939) q[0];
rz(-0.1025) q[0];
rx(0.3095) q[1];
rz(-0.0862) q[1];
rx(-0.0151) q[2];
rz(0.1516) q[2];
rx(0.2872) q[3];
rz(-0.1039) q[3];
rx(-0.0051) q[4];
rz(0.1666) q[4];
rx(0.2841) q[5];
rz(-0.1007) q[5];
rx(0.2881) q[6];
rz(-0.0983) q[6];
crz(-0.0744) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input floa... | null | {"circuits": [], "gradients": []} |
36bc612e0322886e175cda5a18a8b6d9 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 4, "source": 0, "t... | {"states": [124, 122], "expectation_value": -27.890991098845618, "params": [[-0.032600000000000004, -0.0043, 0.006], [0.0626, 0.0692, 0.062]], "bitstrings": ["10000011", "10000101"], "total_optimization_steps": 10, "probabilities": [0.014750869648944412, 0.01678636089351507], "optimization_time": 15.684319734573364} | 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(0) @ Z(4)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 20.5 * Z(1) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "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[4];
rz(-0.2934) q[4];
cx q[1], q[4];
cx q[1], q[0];
rz(-0.2934) q[0];
cx q[1], q[0];
cx q[4], q[0];
rz(-0.2934) q[0];
cx q[4], q[0];
cx q[1], q[3];
rz(-0.2934) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
a81a167158580bb999f8e68ace712ae9 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1... | {"states": [64, 63], "expectation_value": -1.8459592740696635, "params": [[-0.07880000000000001, -0.0751, -0.079, -0.0728], [0.0776, 0.0734, 0.0751, 0.0717]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.025913130615533658, 0.030575469730213536], "optimization_time": 5.25771... | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + 0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * Z(1) + -0.25 * Z(0) + 1.25 * Z(2) + -0.75 * Z(3) + -0.25 * Z(4) + -0.25 * Z(6) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0788) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1576) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(0.1182) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(0.0788) q[3];
cx q[2], q[3];
cx q[2], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
5bb3f230f56ac9bab802a8146772ac94 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [2, 3], "expectation_value": -23.20008873071034, "params": [[[0.23170000000000002, -0.2716], [0.2151, -0.2857], [0.48610000000000003, -0.0142], [0.2005, -0.2982], [0.17300000000000001, -0.325], [0.8036000000000001, 0.0036000000000000003], [0.7956000000000001, 0.0041]], [[0.22290000000000001, 0.0043], [0.2128... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 1 | 7 | 2 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.2317) q[0];
rz(-0.2716) q[0];
rx(0.2151) q[1];
rz(-0.2857) q[1];
rx(0.4861) q[2];
rz(-0.0142) q[2];
rx(0.2005) q[3];
rz(-0.2982) q[3];
rx(0.173) q[4];
rz(-0.325) q[4];
rx(0.8036) q[5];
rz(0.0036) q[5];
rx(0.7956) q[6];
rz(0.0041) q[6];
rx(0.2229) 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": 5} | {"circuits": [], "gradients": []} |
6653954968270267327 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 2, 8, 9, 10, 11, 12], [1, 2, 3, 4, 5, 6, 10], [3, 4, 12, 7], [2, 4, 5, 6, 8, 11], [0, 1, 3, 4, 5, 6, 8, 9, 12], [0, 8, 11, 6], [1, 7], [0, 2, 3, 4, 5, 8, 9, 10, 11], [11, 4, 7], [2, 6, 7, 9, 10, 12], [2, 3, 5, 6, 7, 9, 10, 11], [8, 4, 5, 7], [1, 2... | {"states": [759, 1783], "expectation_value": -4.425526359674837, "params": [-0.0015, -0.0014, -0.0026000000000000003, -0.0025, 0.8438, 0.8996000000000001, 1.5704, 1.5659, -0.0025, -0.0024000000000000002, 1.5608, 1.5754000000000001, 1.5626, 1.5738, 1.5696, 1.5668, 1.5943, 1.5530000000000002, 0.0024000000000000002, 0.002... | 0.1115079365079365 * (Z(0) @ Z(2)) + 0.15873015873015872 * (Z(8) @ Z(2)) + 0.18492063492063493 * (Z(8) @ Z(0)) + 0.1503968253968254 * (Z(9) @ Z(2)) + 0.07539682539682539 * (Z(9) @ Z(0)) + 0.08928571428571427 * (Z(9) @ Z(8)) + 0.1503968253968254 * (Z(10) @ Z(2)) + 0.061507936507936505 * (Z(10) @ Z(0)) + 0.08492063492063... | 13 | 13 | 1 | {"smallest_eigenvalues": [-4.44563492063492], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.428968253968254, "smallest_bitstrings": ["1100100001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(-0.0015) q[0];
ry(-0.0026) q[1];
ry(0.8438) q[2];
ry(1.5704) q[3];
ry(-0.0025) q[4];
ry(1.5608) q[5];
ry(1.5626) q[6];
ry(1.5696) q[7];
ry(1.5943) q[8];
ry(0.0024) q[9];
ry(1.6245) q[10];
ry(1.572) q[11];
ry(1.5778) q[12];
crz(0.0028) q[12], q[0];
crz(-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": []} |
2548882ad4081bf6af959ce2e70710f1 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target":... | {"states": [511, 255], "expectation_value": -2.8694459520687827, "params": [[0.060200000000000004], [-0.056]], "bitstrings": ["000000000", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0034961493785622983, 0.00354343755567423], "optimization_time": 3.79742431640625} | -2.5 * (Z(1) @ Z(3)) + -2.5 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(1)) + 1.0 * (Z(5) @ Z(3)) + -3.5 * (Z(5) @ Z(1)) + 1.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 1.0 * (Z(2) @ Z(4)) + 1.0 * (Z(2) @ Z(5)) + 1.0 * (Z(7) @ Z(3)) + 1.0 * (Z(7) @ Z(1)) + -3.5 * (Z(7) @ Z(4)) + -3.5 * (Z(7) @ Z(5)) + -2.5 * (Z(7) @ Z(2)) + -3.5 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-35.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.0, "smallest_bitstrings": ["100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[1];
rz(-0.301) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(-0.301) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(-0.3612) q[4];
cx q[1], q[4];
cx q[3], q[5];
rz(0.1204) q[5];
cx q[3], q[5];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3],... | {"node": 1} | {"circuits": [], "gradients": []} |
26422131897480ae916d15f66e2a8744 | 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": [125, 109], "expectation_value": -59.38347311382226, "params": [0.377, 0.3135, 0.29510000000000003, 0.34450000000000003, 0.896, 0.005200000000000001, 0.8985000000000001, -0.08610000000000001, 0.45740000000000003, -0.22590000000000002, 0.8947, -0.0019, 0.9028, 0.1645, 0.4791, 0.30920000000000003, 0.8967, 0.17... | 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(0) @ Z(3)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(3)) + 5.5 * (Z(8) @ Z(0)) + 9.0 * Z(2) + 2.5 * Z(1) + 18.5 * Z(3) + 3.0 * Z(0) + 14.5 * Z(5) + 6.0 * Z(4) ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-84.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["110010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.377) q[0];
rz(0.3135) q[0];
rx(0.2951) q[1];
rz(0.3445) q[1];
rx(0.896) q[2];
rz(0.0052) q[2];
rx(0.8985) q[3];
rz(-0.0861) q[3];
rx(0.4574) q[4];
rz(-0.2259) q[4];
rx(0.8947) q[5];
rz(-0.0019) q[5];
rx(0.9028) q[6];
rz(0.1645) q[6];
rx(0.4791) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
9c42d64a7466ccf874275fc8844c2c25 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [102, 106], "expectation_value": -4.999874347869909, "params": null, "bitstrings": ["0011001", "0010101"], "total_optimization_steps": 34, "probabilities": [1.7113027183428194e-05, 0.9999243263153885], "optimization_time": 41.31800436973572} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(4) + 0.0 * Z(0) + -2.0 * Z(2) + -0.5 * Z(1) + -1.0 * Z(6) + -1.0 * Z(3) + 0.0 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[2];
ry(-1.4449) q[4];
ry(-1.4449) q[6];
ry(1.4449) q[5];
ry(1.4417) q[0];
ry(1.4417) q[1];
ry(1.4384) q[3];
cry(-0.1259) q[3], q[6];
cry(-0.1259) q[3], q[4];
cry(0.1243) q[5], q[3];
cry(0.12... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
04fe200220cb0278b572d83172c75de9 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 6... | {"states": [0, 1], "expectation_value": -7.812120213833459, "params": [[[0.0021000000000000003, 0.3209], [0.0024000000000000002, 0.5996], [0.0028, 0.5927], [0.0049, 0.199], [0.6083000000000001, 0.0071], [-0.0014, -0.011000000000000001], [0.8073, -0.0037]], [[0.004200000000000001, 0.0091], [0.0024000000000000002, 0.0029... | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(5) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * Z(1) + -0.25 * Z(0) + -1.5 * Z(2) + -0.75 * Z(5) + 0.75 * Z(6) + 0.0 * Z(3) + ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["1111110", "1111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0021) q[0];
rz(0.3209) q[0];
rx(0.0024) q[1];
rz(0.5996) q[1];
rx(0.0028) q[2];
rz(0.5927) q[2];
rx(0.0049) q[3];
rz(0.199) q[3];
rx(0.6083) q[4];
rz(0.0071) q[4];
rx(-0.0014) q[5];
rz(-0.011) q[5];
rx(0.8073) q[6];
rz(-0.0037) q[6];
rx(0.0042) q[0];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
8c44c442a25e00dfae4e1647b2faf79f | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [9, 3], "expectation_value": -3.37635284629901, "params": [[0.050100000000000006, 0.0332, 0.053700000000000005, 0.053700000000000005], [-0.0522, -0.024800000000000003, -0.0497, -0.0601]], "bitstrings": ["10110", "11100"], "total_optimization_steps": 10, "probabilities": [0.06255234694035373, 0.06639772684683... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 1.75 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 9 | 5 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100"]} | 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(0.1754) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1754) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1754) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2004) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2004) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"k": 3} | {"circuits": [], "gradients": []} |
20a60ed013bc1976376f734be7d8d92c | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 1, "target": 3}]} | {"states": [1789, 1773], "expectation_value": -5.048054473036211, "params": [0.4501, 0.2369, 0.7368, 0.1809, 0.7312000000000001, 0.08360000000000001, 0.4267, 0.2301, 0.7424000000000001, 0.1626, 0.7405, 0.0492, 0.7392000000000001, 0.0181, 0.4808, 0.25420000000000004, 0.4897, 0.24200000000000002, 0.7476, 0.0158, 0.4696, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 16 | 12 | 4 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -6.0, "smallest_bitstrings": ["100100010010", "100100010001", "100100001010", "010010001001", "010001100100", "010010001100... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.4501) q[0];
rz(0.2369) q[0];
rx(0.7368) q[1];
rz(0.1809) q[1];
rx(0.7312) q[2];
rz(0.0836) q[2];
rx(0.4267) q[3];
rz(0.2301) q[3];
rx(0.7424) q[4];
rz(0.1626) q[4];
rx(0.7405) q[5];
rz(0.0492) q[5];
rx(0.7392) q[6];
rz(0.0181) q[6];
rx(0.4808) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
-6788165047368714423 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[5, 6], [0, 3, 5], [2, 4, 6], [0, 2], [0, 6, 7], [1, 3, 4, 5], [0, 8, 5, 1]]} | {"states": [436, 437], "expectation_value": -1.3179368748551705, "params": [1.0004, -0.1043, 1.0035, 0.0009000000000000001, 1.0008000000000001, -0.1691, 0.9975, 0.0033, 0.8649, 0.0132, 0.372, 0.0041, 1.0032, -0.12390000000000001, 1.0044, 0.0048000000000000004, 1.0001, -0.138, 1.0054, 0.0066, 0.8354, 0.28750000000000003... | 0.5 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.08333333333333333 * (Z(4) @ Z(5)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.... | 6 | 9 | 1 | {"smallest_eigenvalues": [-2.5000000000000013], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4166666666666674, "smallest_bitstrings": ["001001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.0004) q[0];
rz(-0.1043) q[0];
rx(1.0008) q[1];
rz(-0.1691) q[1];
rx(0.8649) q[2];
rz(0.0132) q[2];
rx(1.0032) q[3];
rz(-0.1239) q[3];
rx(1.0001) q[4];
rz(-0.138) q[4];
rx(0.8354) q[5];
rz(0.2875) q[5];
rx(0.9942) q[6];
rz(-0.1438) q[6];
rx(0.9934) 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": []} |
605742faa50c2e92c07356e058fd303f | 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": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [253, 245], "expectation_value": -1.3348967353737682, "params": [0.2601, 0.4464, 1.1016000000000001, 0.1272, 1.0999, 0.1746, 1.0993, 0.0805, 1.0975000000000001, 0.3074, 0.789, 0.31010000000000004, 1.1063, 0.40080000000000005, 0.24930000000000002, 0.46180000000000004, 1.1042, 0.22010000000000002, 0.2592, 0.00... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(1) @ Z(5)) + -0.125 * (Z(4) @ Z(1) ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.25, "smallest_bitstrings": ["100001010", "010100010", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.2601) q[0];
rz(0.4464) q[0];
rx(1.1016) q[1];
rz(0.1272) q[1];
rx(1.0999) q[2];
rz(0.1746) q[2];
rx(1.0993) q[3];
rz(0.0805) q[3];
rx(1.0975) q[4];
rz(0.3074) q[4];
rx(0.789) q[5];
rz(0.3101) q[5];
rx(1.1063) q[6];
rz(0.4008) q[6];
rx(0.2493) q[7];
rz(0.4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
2b8dca7c94388a8984b1472327af39be | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"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": [134, 7], "expectation_value": -12.664722089950752, "params": [[-0.029400000000000003, -0.0285, -0.014700000000000001], [0.0541, 0.0666, 0.0609]], "bitstrings": ["01111001", "11111000"], "total_optimization_steps": 10, "probabilities": [0.009973169641222579, 0.011072140656410783], "optimization_time": 8.8174... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3... | 16 | 8 | 3 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
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(-0.1617) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1617) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1617) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.1617) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"k": 5} | {"circuits": [], "gradients": []} |
-65198099378423854 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4, 5], [1, 4], [1, 5, 6], [0, 3, 5], [0, 1, 2, 6], [3, 6], [0, 4, 6]]} | {"states": [7, 71], "expectation_value": -0.24960791695986137, "params": [[-0.1537], [0.1575]], "bitstrings": ["1111000", "0111000"], "total_optimization_steps": 20, "probabilities": [0.010374591342775389, 0.010481072435920773], "optimization_time": 0.9758400917053223} | 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["0111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[2];
rz(-0.0512) q[2];
cx q[4], q[2];
cx q[4], q[5];
rz(-0.0512) q[5];
cx q[4], q[5];
cx q[2], q[5];
rz(-0.0512) q[5];
cx q[2], q[5];
cx q[4], q[1];
rz(-0.1537) q[1];
cx q[4], q[1];
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[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
c... | null | {"circuits": [], "gradients": []} |
a86642e6cce376e198acbea9739e132f | 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": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [140, 172], "expectation_value": -4.578710204933598, "params": [0.4088, -0.0018000000000000002, 0.4078, -0.0025, 0.0001, 0.1971, -0.0038, 0.1998, 0.4022, 0.0018000000000000002, 0.3942, 0.10500000000000001, -0.0159, 0.20800000000000002, -0.0143, 0.2066, 0.40540000000000004, 0.0012000000000000001, 0.4051, 0.08... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * Z(7) + 0.0 * Z(0) + -1.0 * ... | 7 | 8 | 2 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["01010011", "01110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4088) q[0];
rz(-0.0018) q[0];
rx(0.0001) q[1];
rz(0.1971) q[1];
rx(0.4022) q[2];
rz(0.0018) q[2];
rx(-0.0159) q[3];
rz(0.208) q[3];
rx(0.4054) q[4];
rz(0.0012) q[4];
rx(0.406) q[5];
rz(0.0022) q[5];
rx(0.3204) q[6];
rz(-0.0015) q[6];
rx(-0.0099) 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": []} |
7e799239f8573f120a2c5e15cda2e88f | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}]} | {"states": [7, 14], "expectation_value": -0.07886984570843944, "params": [[0.047, 0.0585], [-0.0263, -0.0473]], "bitstrings": ["11000", "10001"], "total_optimization_steps": 10, "probabilities": [0.03400925143561499, 0.03469302047832415], "optimization_time": 2.09847354888916} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -0.5 * Z(1) + 0.0 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["10001", "11000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(0.047) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.047) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(0.047) q[1];
cx q[0], q[1];
cx q[1], q[4];
rz(0.047) q[4];
cx q[1], q[4];
rz(0) q[2];
rz(-0.094) q[0];
rz(0) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0... | null | {"circuits": [], "gradients": []} |
d372548ac1388c7f9b6f4d807571c7c5 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [29, 157], "expectation_value": -4.0387586597791465, "params": [0.5985, 0.0016, 0.1233, 0.2716, -0.0044, 0.3614, 0.6061000000000001, 0.1391, 0.6001000000000001, 0.0032, 0.6062000000000001, 0.0015, -0.0204, 0.37260000000000004, 0.6088, 0.049, 0.598, 0.0046, 0.12140000000000001, 0.3367, -0.0071, 0.3665, 0.6004... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + -1.5 * Z(6) + 0.0 * Z(0) + -2.0 * Z(2) + -1.0 * Z(1) + -0.5 * Z(4) + -1.0 * Z(5) + 0.0 * Z(3) + 0.0 ... | 3 | 8 | 3 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["01100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.5985) q[0];
rz(0.0016) q[0];
rx(0.1233) q[1];
rz(0.2716) q[1];
rx(-0.0044) q[2];
rz(0.3614) q[2];
rx(0.6061) q[3];
rz(0.1391) q[3];
rx(0.6001) q[4];
rz(0.0032) q[4];
rx(0.6062) q[5];
rz(0.0015) q[5];
rx(-0.0204) q[6];
rz(0.3726) q[6];
rx(0.6088) 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": []} |
42c8a30369b7a75bc5bed2e6569b1f7f | 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": 4, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [39, 55], "expectation_value": -8.870067691944683, "params": null, "bitstrings": ["11011000", "11001000"], "total_optimization_steps": 80, "probabilities": [0.28174963113822254, 0.4245343800743181], "optimization_time": 115.0821681022644} | -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)... | 1 | 8 | 2 | {"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];
ry(1.2796) q[3];
cry(1.5708) q[2], q[5];
cry(1.1105) q[3], q[2];
cry(0.2916) q[3], q[5];
cry(-1.0357) q[5], q[3];
cry(-0.024) q[2], q[3];
cry(1.0754) q[7], q[3];
cry(0.6395) q[1], q[3];
ry(0.1936)... | 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(1.2796) 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[... |
1acf7607c7ee29e36b87a4b01083b206 | 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": 4}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "source": 3, "target": 5}, {"capaci... | {"states": [21, 31], "expectation_value": -4.478958451961376, "params": null, "bitstrings": ["101010", "100000"], "total_optimization_steps": 52, "probabilities": [0.16347067988755046, 0.5183808250580454], "optimization_time": 40.048314571380615} | -1.5 * (Z(0) @ Z(4)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + -1.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(1.57) q[3], q[1];
cry(-1.5681) q[5], q[0];
ry(0.9547) q[5];
cry(1.5479) q[2], q[4];
cry(1.2165) q[4], q[2];
cry(0.2523) q[4], q[5];
ry(-0.3947) q[0];
cry(0.1894) q[2], q[5];
cry(0.4989) q[5], q[3];
cry(0.2793... | 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(1.57) 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];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"s... |
167de87ac8ecd264944bce456eb0ffa8 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 6}, {"source": 5, "target": 6}, {"source": 6, "target":... | {"states": [0, 511], "expectation_value": -5.482137074301579, "params": [[[-0.8999, 1.0053], [0.1507, 1.006], [0.0022, 0.4635], [0.0022, 0.0019], [0.0031000000000000003, 0.0008], [0.0014, 0.0024000000000000002], [0.0028, 0.0023], [0.003, 0.0027], [0.28450000000000003, 1.0016]]], "bitstrings": ["111111111", "000000000"]... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(6)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + -1.5 * Z(6) + 1.0 * Z(4) + 1.0 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) | 15 | 9 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.8999) q[0];
ry(0.1507) q[1];
ry(0.0022) q[2];
ry(0.0022) q[3];
ry(0.0031) q[4];
ry(0.0014) q[5];
ry(0.0028) q[6];
ry(0.003) q[7];
ry(0.2845) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 7} | {"circuits": [], "gradients": []} |
6842c95d9f8f8e6ed9a30462c7d1331d | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 9}, {"capacity": 2, "source": 2, "target":... | {"states": [1022, 510], "expectation_value": -8.63716628930013, "params": [[[0.0026000000000000003, -0.0027], [-0.8252, 1.1101], [-0.0029000000000000002, 1.1122], [-0.0028, -0.0031000000000000003], [-0.0026000000000000003, -0.0031000000000000003], [0.0017000000000000001, -0.0025], [-0.0026000000000000003, -0.0027], [-0... | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(10) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(6) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(6)) + -1.0 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(4)) + -0.5 * (Z(8) @ Z(5)) + -0.25 * (Z(9) @ Z(1)) + -0.25 * (Z(9) @ Z(4)) + -0.75 * (Z(9... | 15 | 11 | 1 | {"smallest_eigenvalues": [-9.25, -9.25, -9.25, -9.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.25, "smallest_bitstrings": ["10000000001", "10000000101", "11000000001", "11000000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0026) q[0];
ry(-0.8252) q[1];
ry(-0.0029) q[2];
ry(-0.0028) q[3];
ry(-0.0026) q[4];
ry(0.0017) q[5];
ry(-0.0026) q[6];
ry(-0.0034) q[7];
ry(-0.0032) q[8];
ry(-0.0024) 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];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
3a47978bfb976fd6248810daacdb4903 | 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": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [564, 596], "expectation_value": -3.1291967997754626, "params": [0.397, 0.0077, 0.0051, 0.2916, 0.0005, -0.2937, 0.3957, 0.17900000000000002, 0.3986, 0.12250000000000001, 0.3972, 0.0051, -0.0012000000000000001, 0.2554, 0.3956, 0.2849, 0.3916, 0.1326, 0.0015, 0.26940000000000003, 0.3997, 0.006200000000000001,... | -0.5 * (Z(9) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(9)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(4)) + 1.0 * (Z(8) @ Z(7)) + -0.... | 18 | 10 | 4 | {"smallest_eigenvalues": [-6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.0, "smallest_bitstrings": ["0110101011", "0110000000", "0110101101", "0110010001", "0111001011", "0111001101"... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.397) q[0];
rz(0.0077) q[0];
rx(0.0051) q[1];
rz(0.2916) q[1];
rx(0.0005) q[2];
rz(-0.2937) q[2];
rx(0.3957) q[3];
rz(0.179) q[3];
rx(0.3986) q[4];
rz(0.1225) q[4];
rx(0.3972) q[5];
rz(0.0051) q[5];
rx(-0.0012) q[6];
rz(0.2554) q[6];
rx(0.3956) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
7fbf61ffa47f199b4de407a2a49d3fbd | 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": [858, 346], "expectation_value": -67.39254409272503, "params": [1.1048, -0.047900000000000005, 1.1003, 0.0023, 1.1006, -0.0015, 0.8865000000000001, 0.001, 1.0988, -0.0665, -0.10200000000000001, 0.0099, 1.0953000000000002, -0.0094, 1.097, 0.0095, 1.0887, -0.3337, 0.687, 0.0074, 1.0971, 0.0051, 1.0955000000000... | 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(6) @ Z(0)) + 5.5 * (Z(6) @ Z(7)) + 5.5 * (Z(8) @ Z(5)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(8)) + 4.0 * Z(0) + 8.0 * Z(1) + 15.5 * Z(3) + -1.0 * Z(2) + 10... | 6 | 10 | 1 | {"smallest_eigenvalues": [-94.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.5, "smallest_bitstrings": ["1010100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.1048) q[0];
rz(-0.0479) q[0];
rx(1.1006) q[1];
rz(-0.0015) q[1];
rx(1.0988) q[2];
rz(-0.0665) q[2];
rx(1.0953) q[3];
rz(-0.0094) q[3];
rx(1.0887) q[4];
rz(-0.3337) q[4];
rx(1.0971) q[5];
rz(0.0051) q[5];
rx(1.1012) q[6];
rz(0.0048) q[6];
rx(1.0921) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
abebab5175d0d0d89bf916154d0e1360 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [311, 190], "expectation_value": -0.41147535280489994, "params": [[0.078, 0.0767, 0.0761], [-0.0859, -0.0834, -0.0813]], "bitstrings": ["011001000", "101000001"], "total_optimization_steps": 10, "probabilities": [0.00424138334765948, 0.004250640518053883], "optimization_time": 16.12028694152832} | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(0) @ Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(8) @ Z(3)) + 0.25 * (Z(8) @ Z(5)) + -0.25 *... | 1 | 9 | 3 | {"smallest_eigenvalues": [-3.3125, -3.3125, -3.3125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.3125, "smallest_bitstrings": ["011001000", "100100010", "101000001"]} | 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(0.078) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(0.039) q[2];
cx q[3], q[2];
cx q[4], q[2];
rz(0.039) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(0.039) q[3];
cx q[4], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-3265844937580489028 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4], [2, 4], [1, 5], [0, 5], [4, 6], [0, 1], [4, 5], [1, 3]]} | {"states": [51, 76], "expectation_value": -0.10861705763928024, "params": [[-0.0864], [0.0811]], "bitstrings": ["1001100", "0110011"], "total_optimization_steps": 10, "probabilities": [0.00914864006782388, 0.00914864006782388], "optimization_time": 1.4821043014526367} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["0110011", "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[4], q[1];
rz(-0.0864) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(-0.0864) q[2];
cx q[4], q[2];
cx q[4], q[5];
rz(-0.0864) q[5];
cx q[4], q[5];
cx q[1], q[5];
rz(-0.0864) q[5];
cx q[1], q[5];
cx q[1], q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[4], q[5];
rz(x0) q[5];
cx q[4], q[5];
cx q[1], q[5];
... | null | {"circuits": [], "gradients": []} |
3ec917cec0518de601e1392c2dcaa2e9 | 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": 7}, {"weight": 1, "source": 1, "target... | {"states": [43605, 21930], "expectation_value": -0.11143931561462088, "params": [[-0.1731], [0.1751]], "bitstrings": ["0101010110101010", "1010101001010101"], "total_optimization_steps": 20, "probabilities": [2.363744679939724e-05, 2.363744679939726e-05], "optimization_time": 12.671003818511963} | 0.25 * (Z(0) @ Z(1)) + -0.0008264462809917356 * (Z(2) @ Z(0)) + -0.0008264462809917356 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006714876033057851 * (Z(4) @ Z(0)) + 0.0003099173553719008 * (Z(4) @ Z(2)) + -0.0006714876033057851 * (Z(5) @ Z(1)) + 0.0003099173553719008 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00030... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0190082644627636], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0190082644627343, "smallest_bitstrings": ["1010101001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(-0.0866) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0003) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0003) q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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 ... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
c31960310eb284d493a369e45529e3bd | 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": 5, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 17, "source": 0, "target": 3}, {"weight": 16, "source": 1, "tar... | {"states": [237, 236], "expectation_value": -66.19127492517353, "params": [0.32, 0.2601, 0.7849, -0.0051, 0.7829, -0.005200000000000001, 0.7855000000000001, 0.0495, 0.3884, 0.1985, 0.788, -0.0029000000000000002, 0.7836000000000001, 0.0041, 0.0025, 0.6002000000000001, 0.3841, -0.1927, 0.3133, 0.24300000000000002, 0.7922... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(6)) + 16.5 * Z(1) ... | 18 | 9 | 4 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.32) q[0];
rz(0.2601) q[0];
rx(0.7849) q[1];
rz(-0.0051) q[1];
rx(0.7829) q[2];
rz(-0.0052) q[2];
rx(0.7855) q[3];
rz(0.0495) q[3];
rx(0.3884) q[4];
rz(0.1985) q[4];
rx(0.788) q[5];
rz(-0.0029) q[5];
rx(0.7836) q[6];
rz(0.0041) q[6];
rx(0.0025) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
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 fl... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
-9064799015260102294 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4, 7], [2, 3], [0, 1, 4], [5, 6], [3, 5], [0, 6, 7]]} | {"states": [229, 154], "expectation_value": -0.028512789283972512, "params": [[0.0567], [-0.0461]], "bitstrings": ["00011010", "01100101"], "total_optimization_steps": 10, "probabilities": [0.004091548074871172, 0.004091617386856723], "optimization_time": 0.6072957515716553} | 0.3333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.3333333333333333 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(7)) + 0.5 * (Z(6) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.166666666666667, "smallest_bitstrings": ["10100100", "00011010", "01100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(0.0378) q[0];
cx q[4], q[0];
cx q[4], q[7];
rz(0.0189) q[7];
cx q[4], q[7];
cx q[0], q[7];
rz(0.0378) q[7];
cx q[0], q[7];
cx q[3], q[2];
rz(0.0567) q[2];
cx q[3], q[2];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[7];
rz(x1) q[7];
cx q[4], q[7];
cx q[0], q... | null | {"circuits": [], "gradients": []} |
1309043762920882192 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 3, 4, 5], [0, 1, 2, 3, 4], [0, 1, 3, 5]]} | {"states": [59, 31], "expectation_value": -0.5012541043100662, "params": [[1.242], [-0.369]], "bitstrings": ["000100", "100000"], "total_optimization_steps": 130, "probabilities": [0.046050714569756894, 0.0460507145697569], "optimization_time": 3.4116971492767334} | 0.1 * (Z(0) @ Z(2)) + 0.1 * (Z(3) @ Z(2)) + 0.18333333333333335 * (Z(3) @ Z(0)) + 0.1 * (Z(4) @ Z(2)) + 0.1 * (Z(4) @ Z(0)) + 0.1 * (Z(4) @ Z(3)) + 0.05 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(0)) + 0.13333333333333333 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(4)) + 0.05 * (Z(1) @ Z(2)) + 0.13333333333333333 * (Z(1)... | 1 | 6 | 1 | {"smallest_eigenvalues": [-0.65, -0.65, -0.65], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.6499999999999999, "smallest_bitstrings": ["100000", "100010", "101000"]} | 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(0.2484) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.2484) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.4554) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(0.2484) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.2484... | 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[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... | null | {"circuits": [], "gradients": []} |
bf001351f2bf5e55c043b36bf1cfc0ff | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 3, "target": 6}, ... | {"states": [61, 57], "expectation_value": -2.097950920439776, "params": [0.0028, 0.0039000000000000003, 0.7958000000000001, 0.0066, 1.8102, 0.0031000000000000003, 1.8038, 0.0037, 1.8074000000000001, 0.0008, 1.5585, 0.009000000000000001, -0.0026000000000000003, 0.0033, 1.7988000000000002, 0.0098, 0.008, 0.00290000000000... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(7) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(4) @ Z(7) @ Z(2)) + ... | 18 | 8 | 1 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.625, "smallest_bitstrings": ["11000011", "10010110", "10100110", "11010010", "11000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0028) q[0];
rz(0.0039) q[0];
rx(0.7958) q[1];
rz(0.0066) q[1];
rx(1.8102) q[2];
rz(0.0031) q[2];
rx(1.8038) q[3];
rz(0.0037) q[3];
rx(1.8074) q[4];
rz(0.0008) q[4];
rx(1.5585) q[5];
rz(0.009) q[5];
rx(-0.0026) q[6];
rz(0.0033) q[6];
rx(1.7988) 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": []} |
f0c12db79dee0b687c7216d34d2c80e9 | 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": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 6... | {"states": [1, 17], "expectation_value": -0.32512245404711193, "params": [[-0.059000000000000004, -0.0349], [0.0723, 0.0546]], "bitstrings": ["1111110", "1101110"], "total_optimization_steps": 10, "probabilities": [0.010568806836701852, 0.01078003614197414], "optimization_time": 2.6606147289276123} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(5)) + 0.75 * Z(1) + -0.25 * Z(0) + -0.5 * Z(3) + -0.75 * Z(4) + 0.7... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.25, "smallest_bitstrings": ["1101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0295) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0295) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0295) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.0295) q[4];
cx q[1], q[4];
cx q[0], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
b93e7e87e2621c92c7ba04b041c49bf3 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 2}, {"weight": 14, "source": 0, "target": 4}, {"weight": 13, "source": 1, "target": 2}, {"weight": 1... | {"states": [125, 122], "expectation_value": -29.115972849019773, "params": [[0.0315, 0.011600000000000001, 0.0007, -0.02], [-0.07250000000000001, -0.0741, -0.057100000000000005, -0.043300000000000005]], "bitstrings": ["10000010", "10000101"], "total_optimization_steps": 10, "probabilities": [0.01700145551963333, 0.0202... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) @ Z(4)) + 3.5 * (Z(7) @ Z(6)) + 16.5 * Z(1) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-61.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.5, "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(0.2205) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2205) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2205) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2205) q[3];
cx q[1], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
7785e3e7ad6fcc746d4b86c67fd57c41 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 3... | {"states": [33, 37], "expectation_value": -6.412485973078047, "params": [[[0.0053, 1.2834], [1.0461, 0.0036000000000000003], [0.0041, 1.5884], [0.0006000000000000001, 1.6292], [-0.6776, 1.0081], [0.0005, 1.4802], [-1.0470000000000002, 0.0014]], [[-0.004, 1.5446], [1.0458, 0.0036000000000000003], [-0.0024000000000000002... | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + 1.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + 1.5 * Z(4) + 2.25 * Z(1) + -2.5 * Z(3) + -1.25 * Z(5)... | 1 | 7 | 3 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["1011010", "1010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0053) q[0];
rz(1.2834) q[0];
rx(1.0461) q[1];
rz(0.0036) q[1];
rx(0.0041) q[2];
rz(1.5884) q[2];
rx(0.0006) q[3];
rz(1.6292) q[3];
rx(-0.6776) q[4];
rz(1.0081) q[4];
rx(0.0005) q[5];
rz(1.4802) q[5];
rx(-1.047) q[6];
rz(0.0014) q[6];
rx(-0.004) q[0];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
-8287491844712415094 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 9, 1], [2, 5], [8, 3], [8, 10], [9, 2, 1], [8, 9, 2], [9, 10, 6], [1, 4, 6], [2, 3], [10, 3], [3, 4, 5], [8, 4], [2, 7], [1, 5, 7], [1, 4, 5]]} | {"states": [1726, 702], "expectation_value": -4.578524602042773, "params": [1.5814000000000001, -1.2761, 2.7948, -0.7713, -0.0017000000000000001, -0.7507, 2.8009, -0.0008, 0.016, 0.6483, 2.347, -0.0029000000000000002, 2.4479, 0.0023, 2.6164, -0.0022, 2.7461, 0.0032, 2.7996000000000003, 0.0004, -0.0031000000000000003, 0... | 0.16666666666666666 * (Z(0) @ Z(9)) + 0.3333333333333333 * (Z(1) @ Z(9)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.3333333333333333 * (Z(2) @ Z(9)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(8) @ Z(9)) + 0.16666666666666666 * (Z(8) @ Z(2))... | 4 | 11 | 1 | {"smallest_eigenvalues": [-4.833333333333331], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.499999999999997, "smallest_bitstrings": ["10101000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.5814) q[0];
rz(-1.2761) q[0];
rx(2.7948) q[1];
rz(-0.7713) q[1];
rx(-0.0017) q[2];
rz(-0.7507) q[2];
rx(2.8009) q[3];
rz(-0.0008) q[3];
rx(0.016) q[4];
rz(0.6483) q[4];
rx(2.347) q[5];
rz(-0.0029) q[5];
rx(2.4479) q[6];
rz(0.0023) q[6];
rx(2.6164) 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": []} |
1191675002883320459 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 8, 3, 6], [8, 1], [2, 3], [4, 6], [4, 5], [2, 7]]} | {"states": [303, 47], "expectation_value": -2.4596107345395644, "params": [0.7334, 0.6876, -0.0041, -0.0187, 0.06620000000000001, 0.062, 1.4958, 1.4953, 0.2209, 0.07540000000000001, 1.4149, 1.2963, 1.498, 1.4905000000000002, 1.4948000000000001, 1.4809, 1.4963, 1.4964000000000002, 0.4662, 0.544, -0.21530000000000002, 0.... | 0.08333333333333333 * (Z(0) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 ... | 14 | 9 | 1 | {"smallest_eigenvalues": [-2.75, -2.75, -2.75, -2.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.666666666666667, "smallest_bitstrings": ["001010001", "011001100", "111010000", "010110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.7334) q[0];
ry(-0.0041) q[1];
ry(0.0662) q[2];
ry(1.4958) q[3];
ry(0.2209) q[4];
ry(1.4149) q[5];
ry(1.498) q[6];
ry(1.4948) q[7];
ry(1.4963) q[8];
crx(0.4662) q[8], q[0];
crx(1.2751) q[7], q[8];
crx(0.3452) q[6], q[7];
crx(0.8314) q[5], q[6];
crx(-1.14) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
3d599008e6d247101eb02503201a8a05 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "so... | {"states": [439, 1015], "expectation_value": -8.626190094756781, "params": null, "bitstrings": ["111001001000", "110000001000"], "total_optimization_steps": 100, "probabilities": [0.10145933749532667, 0.4400528382935296], "optimization_time": 326.45084714889526} | 0.5 * (Z(5) @ Z(9)) + 2.0 * (Z(10) @ Z(9)) + 1.0 * (Z(10) @ Z(5)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(10)) + -0.5 * (Z(2) @ Z(9)) + -1.0 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(10)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -2.0 * (Z(3) @ Z(10)) + -0.5 * (Z(3) @ Z(6)) +... | 1 | 12 | 4 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 37, "first_excited_energy": -8.5, "sm... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
ry(1.5709) q[10];
ry(1.5708) q[7];
cry(1.5486) q[2], q[5];
cry(1.5158) q[9], q[3];
cry(1.1598) q[4], q[9];
cry(1.0561) q[6], q[2];
cry(-1.5264) q[10], q[0];
ry(... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.5709) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.