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 155 2.61k | circuit_with_params stringlengths 126 44.7k | circuit_with_symbols stringlengths 146 19.5k ⌀ | problem_specific_attributes stringclasses 116
values | adaptive_process stringlengths 33 186k | qiskit_pauli_strings listlengths 1 177 | qiskit_coefficients listlengths 1 177 | improvement_ratio float64 0 1 | optimized_params listlengths 2 278 | optimization_info dict | total_iterations int64 1 500 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
a07625cca84d78086a82f53802ed13a6 | 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": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capac... | {"states": [0, 1], "expectation_value": -10.870657492217296, "params": [-0.0952, -0.0005, -0.0956, -0.0015, 0.0032, 0.1638, 0.0005, 0.15430000000000002, 0.0029000000000000002, 0.1617, 0.0022, 0.16190000000000002, -0.0038, 0.1427, 0.006500000000000001, 0.1608, 0.0001, 0.15760000000000002, -0.003, 0.1401, -0.000600000000... | -0.75 * (Z(0) @ Z(5)) + -0.5 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -1.0 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(6)) + -0.5 * (Z(1) @ Z(7)) + -0.5 * (Z(2) @ Z(7)) + -0.75 * (Z(2) @ Z(1)) + 1.75 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z... | 6 | 10 | 4 | {"smallest_eigenvalues": [-13.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 13.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.0748662791017331) q[0];
rz(1.4593733774594053) q[0];
rx(0.018007511550331312) q[1];
rz(1.9499082069852047) q[1];
rx(0.09075558658653306) q[2];
rz(1.5065734950006746) q[2];
rx(0.26751742932451733) q[3];
rz(1.7272183645623116) q[3];
rx(-0.07554134050924582) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIZ",
"IIIZZIIIII",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IIIIZIIIZI",
"IIIZIIIIZI",
"IIZIIIIIZI",
"IIZIIIIZII",
"IIIIIIIZZI",
"ZIIIIIIIIZ",
"ZIIIIIIIZI",
"IIIIZZIIII",
"IIIZIZIIII",
"IIZIIZIIII",
"IIIIIZZIII",
"IZIIZIIIII",
"IZIIIIIIZI",
"IZIIIZIIII",
"IIIIZIIIII"... | [
-0.75,
-0.5,
-0.25,
-0.5,
-0.25,
-1,
-0.5,
-0.5,
-0.5,
-0.75,
1.75,
-0.5,
-0.5,
-0.75,
-0.25,
-0.75,
-0.5,
-0.75,
-0.5,
0.25,
-0.25,
-1.75,
0.5,
1,
-1.25,
1.25,
1.25,
-0.75,
-0.25
] | 0.971759 | [
-0.0748662791017331,
-0.11142294933549154,
0.018007511550331312,
0.3791118801903081,
0.09075558658653307,
-0.06422283179422242,
0.26751742932451744,
0.15642203776741545,
-0.07554134050924582,
0.03620410904374854,
0.03594889587660795,
0.38096107187286665,
-0.09941214116878068,
0.21821578014... | {
"n_parameters": 155,
"n_qubits": 10,
"optimal_eigenvalue": -13.25,
"target_ratio": 0.97,
"target_value": -12.8525
} | 48 |
e7056fbb187e68baa5d05b0b9cb6a901 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [157, 109], "expectation_value": -0.055800346796288425, "params": [[-0.056, 0.0656], [0.0742, -0.032]], "bitstrings": ["01100010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.00440856652161099, 0.004408566521610994], "optimization_time": 7.2897562980651855} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(0) @ Z(5) @ Z(4)) + -0.125 * (Z(4) @ Z(2) @ Z(5)) + 0.12... | 1 | 8 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["01100010", "10010010"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.3483964545021323) q[0];
h q[1];
ry(1.3483964545021323) q[1];
h q[2];
ry(-1.5377717834128013) q[2];
h q[3];
ry(-0.5718354355912505) q[3];
ry(-0.060597795734454125) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[3];
ry(0.5718354355912505) q[3];
cx q[5], q[3];
ry(-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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIZIZII",
"IIZIIZII",
"IIZZIIII",
"IIIZIZIZ",
"IIZIIZIZ",
"IIZZIIIZ",
"IIZZIZII",
"IIZZIZIZ",
"IIIIZIZI",
"IIIZIIZI",
"ZIIIIIZI",
"IIIZZIII",
"ZIIIZIII",
"ZIIZIIII",
"IIIZZIZI",
"ZIIIZIZI",
"ZIIZIIZI",
"ZIIZZII... | [
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
-0.125,
-0.125,
-0.125,
-0.125,
0.25,
0.125,
-0.75,... | 0.996817 | [
-1.5377717834128013,
-1.4355349010589802,
1.3483964545021323,
-1.143670871182501,
0.7256483222204215,
-0.3397090750168832,
0.4854071333661133,
-0.3806094686092039,
0.2510875381992757,
-0.09032787450619814,
0.08059260300373108,
0.19771184529814245,
-0.14932726000292476,
-0.10015168483220893... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
117d5eadcb002c843d1e10097e462227 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [15, 23], "expectation_value": -0.3443622140483136, "params": [[-0.0258, -0.051300000000000005, -0.06420000000000001], [-0.0, 0.0534, 0.060500000000000005]], "bitstrings": ["110000", "101000"], "total_optimization_steps": 10, "probabilities": [0.020179506375395208, 0.020179506375395215], "optimization_time":... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["110000", "101000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(1.4479777882315188) q[0];
rz(-0.0410635451729493) q[0];
rx(1.6707270756630017) q[1];
rz(-0.5025707057789535) q[1];
rx(0.12191439196254802) q[2];
rz(-0.10535812139801859) q[2];
rx(-0.17080179574029059) q[3];
rz(0.36643007906481095) q[3];
rx(0.12191439196254804) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIIZ",
"ZIIIIZ",
"IZIIIZ",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-2,
-0.5,
0,
0,
0
] | 0.975636 | [
1.447977788231519,
-0.13929152858914753,
1.670727075663002,
0.12191439196254804,
0.2784167354321591,
-0.1708017957402906,
0.6155213340906953,
0.34082768408182945,
0.07876221148488821,
-0.5482503076417033,
0.39134103961369215,
-0.49818251005176784,
-0.7675497136603552,
-0.7265583543796119,
... | {
"n_parameters": 27,
"n_qubits": 6,
"optimal_eigenvalue": -3.0625,
"target_ratio": 0.97,
"target_value": -2.970625
} | 11 |
766ad5c893fdabef4db5a6d615ba911f | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 20, "source": 0, "target": 2}, {"weight": 13, "source": 0, "target": 4}, {... | {"states": [234, 122], "expectation_value": -8.499901302631972, "params": [[0.042], [-0.0522]], "bitstrings": ["00010101", "10000101"], "total_optimization_steps": 10, "probabilities": [0.006217079154613289, 0.006557534203301137], "optimization_time": 2.8674817085266113} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 182.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.016153868570687777) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.016153868570687777) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.016153868570687777) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.016153868570687777) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIZIIIZI",
"IIZZIIII",
"IZIIIIZI",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
26,
12,
18.5,
10.5,
17.5,
9,
22,
3
] | 0.973841 | [
0.016153868570687777,
1.6531426914122864,
4.3596912682155935,
1.5899733302440615,
1.7283760072836996,
1.378270030858796,
-2.417983287278949,
1.460564283804654,
-1.7408143236471427,
-1.5136081997036865
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -78.5,
"target_ratio": 0.97,
"target_value": -76.145
} | 57 |
082dad6a469188325b85c1940de1d870 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "... | {"states": [254, 255], "expectation_value": -18.80883067272648, "params": [[[-0.0019, -0.0028], [0.0019, 0.0027], [-0.0021000000000000003, 0.0019], [-0.0013000000000000002, -0.0037], [-1.1751, 2.1839], [-0.0021000000000000003, 0.9545], [-0.0019, 0.0021000000000000003], [-0.0024000000000000002, -0.002], [-0.0025, -0.003... | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(7)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + -... | 15 | 12 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["111100000000"], "largest_eigenvalue": 24.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.058981065424379045) q[0];
ry(0.13343045213758548) q[1];
ry(0.18309165788424647) q[2];
ry(-0.14459511648551682) q[3];
ry(-0.28909806881669176) q[4];
ry(0.18309165788424647) q[5];
ry(-0.058981065424379045) q[6];
ry(-0.08715571295837829) q[7];
ry(-0.0204654983540672... | OPENQASM 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": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIZIIZIIII",
"IIIIZIZIIIII",
"IIIIIIZZIIII",
"IIIIZZIIIIII",
"IIIIIZZIIIII",
"IIZZIIIIIIII",
"IZZIIIIIIIII",
"IZIZIIIIIIII",
"ZIZIIIIIIIII",
"ZIIZIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIII... | [
-2,
0.5,
-2.5,
0.5,
-2.5,
-2,
-1.5,
-2,
0.5,
0.5,
-1.5,
-2,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.971499 | [
-0.058981065424379045,
0.13343045213758548,
0.18309165788424647,
-0.14459511648551682,
-0.28909806881669176,
-0.08715571295837829,
-0.02046549835406728,
-2.9774599529540726,
0.007562934703201324,
0.06967712561618723,
-0.019324241896237507,
3.036866800143954,
0.043085317194899664,
-0.013314... | {
"n_parameters": 19,
"n_qubits": 12,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 39 |
187486886408997806 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], "hyperedges": [[10, 7], [2, 4, 5, 9, 10, 12], [0, 9, 4, 13], [2, 4, 5, 6, 7, 11], [8, 2, 7], [8, 1], [0, 2, 3, 4, 5, 10, 11], [0, 5, 3, 13], [0, 7], [8, 11, 13, 7], [9, 11, 5, 6], [9, 10, 4, 6], [1, 5], [2, 3, 4, 8, 12], [10, 2, 3, 13], [10, 13, 12, 5], [2, 3, 5... | {"states": [12094, 11710], "expectation_value": -3.3298620315345118, "params": [[-0.3748], [0.35250000000000004]], "bitstrings": ["01000011000001", "01001001000001"], "total_optimization_steps": 40, "probabilities": [0.0013354117285333796, 0.0013593370389640368], "optimization_time": 351.3437280654907} | 0.5 * (Z(10) @ Z(7)) + 0.2833333333333333 * (Z(2) @ Z(7)) + 0.14047619047619048 * (Z(2) @ Z(10)) + 0.11666666666666667 * (Z(4) @ Z(7)) + 0.14047619047619048 * (Z(4) @ Z(10)) + 0.2238095238095238 * (Z(4) @ Z(2)) + 0.03333333333333333 * (Z(5) @ Z(7)) + 0.14047619047619048 * (Z(5) @ Z(10)) + 0.12380952380952381 * (Z(5) @ ... | 1 | 14 | 1 | {"smallest_eigenvalues": [-6.7095238095238035], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.6761904761904525, "smallest_bitstrings": ["01001001000001"], "largest_eigenvalue": 22.500000000000075} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[7], q[10];
rz(-0.003672809202284978) q[10];
cx q[7], q[10];
cx q[7], q[2];
rz(0.009578227795538848) q[2];
cx q[7], q[2];
cx q[10], q[2];
rz(-0.00513692170716331) q[2];
cx q[10... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZIIIIIII",
"IIIIIIZIIIIZII",
"IIIZIIIIIIIZII",
"IIIIIIZIIZIIII",
"IIIZIIIIIZIIII",
"IIIIIIIIIZIZII",
"IIIIIIZIZIIIII",
"IIIZIIIIZIIIII",
"IIIIIIIIZIIZII",
"IIIIIIIIZZIIII",
"IIIIZIZIIIIIII",
"IIIZZIIIIIIIII",
"IIIIZIIIIIIZII",
"IIIIZIIIIZIIII",
"IIIIZIIIZIIIII",
"IZIIIIZIIIIIII"... | [
0.5,
0.2833333333333333,
0.14047619047619048,
0.11666666666666667,
0.14047619047619048,
0.2238095238095238,
0.03333333333333333,
0.14047619047619048,
0.12380952380952381,
0.09047619047619047,
0.05,
0.2833333333333333,
0.16666666666666669,
0.25,
0.11666666666666667,
0.5,
0.11666666666... | 0.97016 | [
-0.003672809202284978,
0.009578227795538848,
-0.00513692170716331,
0.004542041058828749,
0.07373360747192234,
-0.0026298836249213603,
0.05744540622799609,
0.013965962494326852,
-0.024141507298976864,
0.018674615553367642,
0.008999890533753014,
0.030109220353044,
0.015086480150145673,
0.022... | {
"n_parameters": 35,
"n_qubits": 14,
"optimal_eigenvalue": -6.7095238095238035,
"target_ratio": 0.97,
"target_value": -6.508238095238089
} | 205 |
4188867533754040661 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 2, 1, 6], [0, 1, 3, 4, 5, 6, 9], [2, 5], [0, 1, 3, 4, 6, 7], [8, 0], [3, 5, 6, 8, 9], [9, 2, 4, 1], [2, 3, 6, 7, 8, 9]]} | {"states": [749, 745], "expectation_value": -2.2472043066909664, "params": null, "bitstrings": ["0100010010", "0100010110"], "total_optimization_steps": 68, "probabilities": [0.10875674308815762, 0.7679085807385482], "optimization_time": 140.64409255981445} | 0.19999999999999998 * (Z(9) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.19047619047619047 * (Z(1) @ Z(9)) + 0.11666666666666667 * (Z(6) @ Z(2)) + 0.19047619047619047 * (Z(6) @ Z(9)) + 0.14047619047619048 * (Z(6) @ Z(1)) + 0.023809523809523808 * (Z(0) @ Z(9)) + 0.05714285714285714 * (Z(0) @ Z(1)) + 0.0571428571428... | 1 | 10 | 1 | {"smallest_eigenvalues": [-2.2904761904761903], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.2904761904761894, "smallest_bitstrings": ["0100010110"], "largest_eigenvalue": 6.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
ry(-0.3322993494993929) q[1];
h q[2];
ry(-2.537831218706233) q[3];
rz(-pi) q[3];
ry(-2.4897713404506407) q[4];
rz(-pi) q[4];
h q[5];
ry(-0.4378659054563407) q[5];
cx q[2], q[5];
ry(0.4378659054563407) q[5];
cx q[2], q[5];
ry(1.0815459719888927) q[2];
ry... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.4486) q[9];\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]... | [
"ZIIIIIIZII",
"IIIIIIIZZI",
"ZIIIIIIIZI",
"IIIZIIIZII",
"ZIIZIIIIII",
"IIIZIIIIZI",
"ZIIIIIIIIZ",
"IIIIIIIIZZ",
"IIIZIIIIIZ",
"IIIIIIZZII",
"ZIIIIIZIII",
"IIIIIIZIZI",
"IIIZIIZIII",
"IIIIIIZIIZ",
"IIIIIZIZII",
"ZIIIIZIIII",
"IIIIIZIIZI",
"IIIZIZIIII",
"IIIIIZIIIZ",
"IIIIIZZIII"... | [
0.19999999999999998,
0.16666666666666666,
0.19047619047619047,
0.11666666666666667,
0.19047619047619047,
0.14047619047619048,
0.023809523809523808,
0.05714285714285714,
0.05714285714285714,
0.03333333333333333,
0.10714285714285715,
0.05714285714285714,
0.14047619047619048,
0.05714285714285... | 0.974601 | [
1.4382201147626594,
1.0162504732736486,
-0.8979655465423972,
0.9107202288619232,
-0.6702952022892386,
0.5410722017743432,
-0.8757318109126814,
0.8757514736348864,
-0.5282951632128804,
0.4115889967080125,
-0.5252146865597006,
-0.2330016558917131,
0.7471502627388313,
-0.6645986989987858,
0... | {
"n_parameters": 55,
"n_qubits": 10,
"optimal_eigenvalue": -2.2904761904761903,
"target_ratio": 0.97,
"target_value": -2.2217619047619044
} | 1 |
58927404864b316a7a7c3805d96a54c5 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 8}, {"capacity": 6, "source": 1, "target": 3}, {"capacity": 5, "s... | {"states": [9, 25], "expectation_value": -15.788137886782557, "params": [0.002, 0.9018, -0.0026000000000000003, -0.8144, -0.0027, 1.1149, -0.0027, 1.1126, 0.8276, 0.0056, 1.3503, -0.002, -0.0031000000000000003, 0.7249, -0.003, -0.9836, 1.5044000000000002, 0.0076, 0.002, 0.0033, -0.0026000000000000003, 0.001700000000000... | -1.0 * (Z(0) @ Z(3)) + 1.25 * (Z(8) @ Z(0)) + -1.5 * (Z(1) @ Z(3)) + -2.75 * (Z(2) @ Z(3)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(8)) + -1.25 * (Z(4) @ Z(7)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ ... | 3 | 9 | 2 | {"smallest_eigenvalues": [-16.75, -16.75, -16.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -15.75, "smallest_bitstrings": ["111100110", "111100010", "101100010"], "largest_eigenvalue": 19.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.08852221454871459) q[0];
rz(1.4850305891108242) q[0];
rx(-0.022460498049271173) q[1];
rz(-1.2119263256872301) q[1];
rx(0.0036018593934876234) q[2];
rz(0.6680531664906) q[2];
rx(0.003601859393487624) q[3];
rz(1.1010038153947903) q[3];
rx(1.1101477110823375) 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": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"ZIIIIIIIZ",
"IIIIIZIZI",
"IIIIIZZII",
"IZIIIZIII",
"ZIIIZIIII",
"IZIIZIIII",
"IIZIIIIZI",
"IIZIZIIII",
"IIIZIIIZI",
"IIIZIIZII",
"IZIZIIIII",
"IIIZZIIII",
"IIZZIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IZIIIIIII",
"IIIIZIIII",
"... | [
-1,
1.25,
-1.5,
-2.75,
-0.25,
-0.5,
-1.25,
-1.5,
-0.75,
-0.5,
-0.75,
-1,
-0.25,
-1,
-2,
-0.25,
0.75,
-0.5,
-1,
-2.5,
2.25,
-0.25,
3.5
] | 0.972394 | [
-0.0885222145487146,
1.0881884443741296,
-0.022460498049271173,
-0.7092743797278183,
0.0036018593934876234,
1.2418359084736181,
1.1036348045591202,
1.1101477110823375,
0.06106459732284491,
1.3559333559132691,
0.05674914092623268,
0.16301984510572173,
0.7644558023851116,
-0.2009512409085926... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -16.75,
"target_ratio": 0.97,
"target_value": -16.2475
} | 5 |
fc004364023d9de40312a47332ff3203 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [24, 40], "expectation_value": -3.9741067800330327, "params": null, "bitstrings": ["100111", "010111"], "total_optimization_steps": 17, "probabilities": [0.07397901535923933, 0.9005745124139602], "optimization_time": 12.039867877960205} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -1.5 * Z(4) + -1.0 * Z(2) | 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": ["011101", "100111", "101011", "010111", "101110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.6127412305421492) q[1];
cx q[0], q[1];
ry(0.6127412305421492) q[1];
cx q[0], q[1];
ry(0.9064729368977194) q[0];
ry(-0.649182173265523) q[1];
h q[2];
ry(1.4324240142859173) q[2];
cx q[2], q[0];
ry(-0.23353815411777684) q[0];
cx q[2], q[0];
cx q[2], ... | 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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIIZ",
"ZIIIIZ",
"ZIZIII",
"IZIIZI",
"IZZIII",
"ZZIIII",
"IIZZII",
"ZIIZII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IZIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
-1.5,
-1.5,
-1
] | 0.987812 | [
-1.5986606768365204,
-1.6185309131181278,
-1.6846005430182638,
1.4324240142859173,
-1.2254824610842985,
0.6729347827799425,
-0.5013102898575983,
0.4670763082355537,
-0.2957437668158493,
-0.01748577060486424,
-0.06482151295528986,
0.013714043898860342,
-0.001963044877672917,
0.1760142459784... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
2df93713dba52fbc8f2926f6b2fd57be | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 3, ... | {"states": [29, 31], "expectation_value": -5.8546769839357795, "params": null, "bitstrings": ["11100010", "11100000"], "total_optimization_steps": 40, "probabilities": [0.41767691116306144, 0.419333279531861], "optimization_time": 36.97033476829529} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + 1.0 * (Z(7) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(4) @ Z(7)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(2) + 0.0 * Z(7) + 1.0 * Z(3) + 0.75 * Z(4) + 0.25 * Z(5) + 0.0 * 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": ["11100010", "11100000", "11100110"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.2949175491820306) q[0];
ry(-0.5718315361379981) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.014198824758824193) q[2];
h q[3];
ry(0.8153655793536955) q[3];
h q[4];
ry(1.7358025262701822) q[4];
ry(-3.1020867817151703) q[5];
rz(-pi) q[5];
h q[6];
cx q[6], q[5];
r... | 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[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... | [
"IIIIIIZZ",
"IIIIIZIZ",
"ZIIIIIIZ",
"IIIIZZII",
"ZIIIZIII",
"ZIIZIIII",
"IIZZIIII",
"IZIIIZII",
"IZZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"ZIIIIIII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-0.5,
-0.25,
1,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-1.25,
0,
1,
0.75,
0.25,
0
] | 0.978876 | [
-1.6615171206744725,
1.7358025262701822,
-0.5898350983640612,
1.4494700949935044,
1.630731158707391,
-0.961733679987851,
1.4386247151708065,
0.06190878182737325,
-0.37241896942618374,
0.1853314794989342,
0.12371533057551468,
-0.07230134059792101,
-0.818259384585675,
0.003388180207093014,
... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 12 |
b2edf981a9c05ff141b468ab5531d2c7 | 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": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [84, 85], "expectation_value": -1.2214925768087541, "params": [1.0027000000000001, 0.3023, 0.08940000000000001, 0.5713, 0.8193, -0.28150000000000003, 0.44630000000000003, -0.3784, 1.0075, 0.1867, 0.4203, 0.3865, 0.802, 0.14020000000000002, 1.0061, 0.0014, 0.0845, 0.0037, 0.8206, 0.001, 0.4485, 0.001, 1.01070... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(0) @ Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + -0.25 * Z(0) + -0.5 * Z(1) + -0.... | 18 | 7 | 2 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["0101010", "0110001"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.5248550386083428) q[0];
ry(-0.10221270413882634) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
ry(-0.09127413307150792) q[3];
h q[4];
ry(1.5248550386083428) q[4];
h q[5];
ry(-0.09127413307150792) q[5];
cx q[2], q[5];
ry(0.09127413307150792) q[5];
cx q[2], q[5];
ry(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIIZZII",
"IIIZZIZ",
"IIZIIZI",
"IZZIIII",
"ZIZIIII",
"ZZIIIII",
"ZZZIIII",
"IZIIZII",
"ZIIZIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25
] | 0.971484 | [
-1.505134990804261,
-0.18254826614301584,
1.5248550386083428,
-0.03839767417260796,
1.417504350103393,
0.9854096523880066,
-0.5343385890345632,
-0.5625052963746807,
0.13394661936504978,
0.07310273629638185,
0.1078849727528113,
-0.5444759194660239,
-0.4696532586096871,
-0.1666927772157234,
... | {
"n_parameters": 30,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 35 |
4ff6cd3ae35a7505dd00eb5f37bcfa52 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [150, 149], "expectation_value": -2.1072828160968413, "params": [[[0.5023, -0.0036000000000000003], [0.1406, -0.0044], [-0.0027, -0.0024000000000000002], [0.5025000000000001, 0.0823], [0.4969, 0.161], [0.2911, 0.503], [0.5053, 0.49920000000000003], [0.5009, 0.44420000000000004]], [[0.3976, 0.0057], [0.1431, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(6) @ Z(0)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(4) @ Z(6)) + -0.125 * (Z(4) @ Z(0) @ Z(3)) + -0.125 * (Z(6) @ Z(0) @ Z(3)) + -0.125 * (Z(4) @ Z(6) @ Z(0)) + -0.125 * (Z(4)... | 15 | 8 | 3 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.375, "smallest_bitstrings": ["10100110", "10100101", "01100110", "01101001", "10101001", "01101010"], "largest_eigenvalue": 6.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.09219022397749128) q[0];
cx q[1], q[0];
rz(-1.2871422316693653) q[0];
rx(0.10379619859919222) q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.09219022397749128) q[4];
cx q[1], q[4];
cx q[1], q[2];
rz(0.09219022397749128) q[2];
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": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIZZIIII",
"IIIIZIIZ",
"IIIZIIIZ",
"IZIIIIIZ",
"IIIZZIII",
"IZIIZIII",
"IZIZIIII",
"IIIZZIIZ",
"IZIIZIIZ",
"IZIZIIIZ",
"IZIZZIII",
"IZIZZIIZ",
"IIZIIIZI",
"ZIIIIIZI",
"ZIZIIIII",
"ZIZIIIZI",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZII... | [
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.125,
-0.25,
-1,
-0.125,
-0.125,
-0.25,
-0.125,
-0.25
] | 0.979572 | [
0.09219022397749128,
0.8982429000207126,
-1.2871422316693646,
0.24599877936251585,
-0.9798884543189016,
0.6694199466030656,
0.8683968766675187,
-0.3547308698519625,
0.9369223338993231,
0.10379619859919209,
-0.08770470281201148,
0.5841101200094906,
-0.6227792457430795,
1.1403942607354456,
... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 37 |
e58428a6900eb2eef0cb4731fd8b4a99 | 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": 2, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6... | {"states": [0, 1], "expectation_value": -8.847589292675242, "params": [[[-0.0029000000000000002, 0.3879], [0.0008, 0.4051], [0.0015, 0.3335], [0.0023, 0.43310000000000004], [-0.0002, 0.3527], [0.0036000000000000003, 0.4471], [0.6096, -0.0041]], [[-0.0059, 0.3739], [0.0074, 0.4575], [0.0002, 0.10700000000000001], [0.004... | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(6) @ Z(1)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(4) @ Z(3)) + 1.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + -2.5 * Z(5) + 1.75 ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-11.5, -11.5, -11.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.5, "smallest_bitstrings": ["1111110", "1011110", "1010010"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(1.690944416721413) q[0];
ry(0.054699542645833876) q[0];
rz(-1.1769404323163797) q[0];
rz(-2.3881872169052443) q[1];
ry(0.20723270974804353) q[1];
rz(-2.857031240934929) q[1];
rz(-2.4596888100774237) q[2];
ry(0.14080968323527931) q[2];
rz(-2.993631691840007) q[2];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"ZIIIIZI",
"ZIIIIIZ",
"IIIZIZI",
"IIIZZII",
"IZIZIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
-0.5,
-1.25,
-1,
-0.5,
-0.75,
-0.75,
2.5,
-0.75,
-0.75,
-0.25,
-0.5,
1.5,
-0.25,
-0.75,
-2.5,
1.75,
0.25,
0
] | 0.989705 | [
-0.022892677441185116,
0.2110669709326137,
-0.27094094257024,
0.6131998797071878,
-0.20111098885694167,
0.503350945250638,
0.020546732618873385,
0.3028834781091834,
0.2617247912178288,
0.41607371001171256,
-0.16363397257810378,
0.563891452430853,
0.8878830733377374,
-0.0634222979567583,
... | {
"n_parameters": 35,
"n_qubits": 7,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 9 |
d6f28e8e721f2e8774ae1a038fad5d15 | 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": [970, 842], "expectation_value": -79.54762717987352, "params": [0.9931000000000001, 0.0137, 0.9909, 0.2505, 0.49500000000000005, 0.2897, 0.9956, -0.0045000000000000005, -0.0035, -0.5710000000000001, -0.0189, -0.5033, 0.9995, 0.313, -0.016800000000000002, 0.626, 0.9993000000000001, 0.1817, -0.0031000000000000... | 6.5 * (Z(3) @ Z(0)) + 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(1) @ Z(3)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(6) @ Z(0)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(4) @ Z(8)) + 6.5 * (Z(9) @ Z(8)) + 22.0 * Z(0) + 18.5 * Z(3) + 11.0 * Z(2) + 14.5 * Z(1) + -1.5 * Z(5) + 5.5 * Z(... | 18 | 10 | 3 | {"smallest_eigenvalues": [-86.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -85.5, "smallest_bitstrings": ["0010110101"], "largest_eigenvalue": 140.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.8865045738996707) q[0];
rz(-0.2980270817279207) q[0];
rx(0.9886368755933787) q[1];
rz(0.3321141065387267) q[1];
rx(0.2193285870368505) q[2];
rz(0.42039216679629254) q[2];
rx(1.0680640674935487) q[3];
rz(0.013859485409115399) q[3];
rx(0.020344482138174733) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIIZZI",
"IIIIZIZIII",
"IIIZIIIIIZ",
"IIZZIIIIII",
"IZIIIZIIII",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"IIIIIZIIII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
22,
18.5,
11,
14.5,
-1.5,
5.5,
-1.5,
7.5,
-4.5,
-2.5
] | 0.974262 | [
0.8865045738996707,
-0.017457193077194587,
0.9886368755933787,
0.3321141065387267,
0.2193285870368505,
0.42039216679629254,
1.0680640674935487,
0.013859485409115399,
0.020344482138174733,
-0.4798745830246618,
-0.13326560565260678,
-0.428401284238751,
1.0133391963413472,
0.47477792108210154... | {
"n_parameters": 87,
"n_qubits": 10,
"optimal_eigenvalue": -86.5,
"target_ratio": 0.97,
"target_value": -83.905
} | 7 |
76f972417370cafbc1a58f9722bec42d | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"s... | {"states": [2047, 4095], "expectation_value": -6.63406349584169, "params": [0.0012000000000000001, 1.3221, 0.0017000000000000001, 0.0083, -0.6914, -0.23820000000000002, 0.7491, 0.0091, -0.8085, -0.3648, 0.7269, 0.009300000000000001, 0.8142, -0.1842, -0.7247, 0.0076, 0.742, -0.07540000000000001, -0.6538, 0.0056, -0.8199... | -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(10)) + -1.0 * (Z(11) @ Z(12)) + -1.0 * (Z(1) @ Z(2)) + -1.0 * (Z(3) @ Z(4)) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(10) + 0.5 * Z(9) + 0.5 * Z(12) + 0.5 * Z(11) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + -0.5 * Z(0) | 6 | 13 | 1 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1000000000000"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(-0.006347481591146845) q[0];
rz(1.734305978831566) q[0];
rx(-2.770341437561929) q[1];
rz(1.2978248687991325) q[1];
rx(-1.5855840525375107) q[2];
rz(0.00857569136109504) q[2];
rx(1.3924018544836052) q[3];
rz(0.27524698051829644) q[3];
rx(-3.055186245200805) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIZZIIIII",
"IIIIZZIIIIIII",
"IIZZIIIIIIIII",
"ZZIIIIIIIIIII",
"IIIIIIIIIIZZI",
"IIIIIIIIZZIII",
"IIIIIIZIIIIII",
"IIIIIIIZIIIII",
"IIIIZIIIIIIII",
"IIIIIZIIIIIII",
"IIZIIIIIIIIII",
"IIIZIIIIIIIII",
"ZIIIIIIIIIIII",
"IZIIIIIIIIIII",
"IIIIIIIIIIZII",
"IIIIIIIIIIIZI",
"IIIIIIIIZII... | [
-1,
-1,
-1,
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.856244 | [
-0.006347481591146845,
0.16350965203666937,
-2.770341437561929,
-0.2729714579957638,
-1.5855840525375107,
-1.5622206354338013,
1.3924018544836052,
-1.2955493462766003,
3.2279990619787817,
-0.7079737622697619,
-2.009493968450329,
1.4310280195718614,
-1.2294682114421418,
0.9338271347598914,
... | {
"n_parameters": 62,
"n_qubits": 13,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 500 |
236c69952f7a567ffa991f0fda3dc1de | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [68, 76], "expectation_value": -7.012819498208507, "params": [[[-0.003, -0.40080000000000005, 0.007200000000000001, 0.0034000000000000002], [0.2677, -0.0006000000000000001, 0.2626, 0.0097], [-0.0105, -0.023200000000000002, 0.0018000000000000002, -0.0228], [-0.0015, 0.3682, -0.0008, 0.0089], [0.4682, -0.0027,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) ... | 12 | 8 | 4 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["10110011", "11110010"], "largest_eigenvalue": 21.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.09327516095573984) q[0];
rz(-0.1801251458670283) q[0];
ry(0.2121757452132288) q[1];
rz(0.11471681144518381) q[1];
cz q[1], q[0];
ry(-0.04950577270043318) q[0];
rz(-0.5220436776892047) q[0];
ry(0.3886755975749307) q[1];
ry(-0.12092067144890034) q[2];
rz(-0.240702160... | OPENQASM 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": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIIZ",
"IZIIIIIZ",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIZIII",
"IIIIIZZI",
"IIIIZZII",
"IIZIIZII",
"IZIIIZII",
"IIIZZIII",
"IZIZIIII",
"IIIZIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-2,
-2.5,
-1,
-2,
-1,
-2,
-1
] | 0.974094 | [
0.09327516095573984,
-0.1801251458670283,
0.2121757452132288,
0.11471681144518381,
-0.12092067144890034,
-0.2407021607630148,
-0.006341321540689615,
0.5100370969604376,
0.7540245438858247,
0.06619550169671816,
-0.0590481330095281,
-0.06305199830180436,
0.013069997230265668,
-0.371974176938... | {
"n_parameters": 85,
"n_qubits": 8,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 9 |
4453387051715974499 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 5, 6], [0, 1, 2], [3, 4]]} | {"states": [87, 91], "expectation_value": -0.27258110218373105, "params": [[0.2823], [-0.28900000000000003]], "bitstrings": ["0101000", "0100100"], "total_optimization_steps": 30, "probabilities": [0.012810143606473735, 0.012810143606473735], "optimization_time": 0.8660130500793457} | 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * Z(5) + 0.3333333333333333 * Z(1) + 0.16666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.1666666666666667, -1.1666666666666667, -1.1666666666666667, -1.1666666666666667, -1.1666666666666667, -1.1666666666666667], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.1666666666666665, "smallest_bitstrings": ["0011010", "1001010", "0010110", "0100100", "0101000", "10001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(1.5707963996109369) q[3];
cx q[4], q[3];
rz(5.4408141547668265e-08) q[3];
rx(-0.7756478572194019) q[3];
rz(5.4408141547668265e-08) q[4];
rx(-0.7756478572194019) q[4];
h q[5];
cx q[5], q[1];
rz(0.46279540978699985... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[5], q[6];
rz(x0) q[6];
cx q[5], q[6];
cx q[1], q[6];
rz(... | null | {"circuits": [], "gradients": []} | [
"IZIIIZI",
"ZZIIIII",
"ZIIIIZI",
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZZIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IIIZIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0,
0
] | 0.801382 | [
0.46279540978699985,
1.5707963996109369,
0.7522520158761321,
5.440814181102677e-8,
-0.775647857219402
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -1.1666666666666667,
"target_ratio": 0.97,
"target_value": -1.1316666666666666
} | 127 |
fcba12f78dbb04a944afdfe31d032329 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, ... | {"states": [1, 65], "expectation_value": -0.33388076688126433, "params": [[0.0733], [-0.07640000000000001]], "bitstrings": ["11111110", "10111110"], "total_optimization_steps": 10, "probabilities": [0.005290723032365225, 0.005407950087576234], "optimization_time": 2.3149449825286865} | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["10111110"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.4254799601393619) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.4254799601393619) q[4];
cx q[3], q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.0294819745702197) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.0294819745702197) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"IZIIIIIZ",
"IIIIZIZI",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIIIIIZI",
"IIIIZZII",
"IIIZIZII",
"IZIIIZII",
"ZIIIIZII",
"IIZIZIII",
"IIZZIIII",
"IZZIIIII",
"IIZIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIIIIZI... | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
1.75,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-1,
0,
-0.25,
-0.5,
0.25,
0.5,
1,
0,
-1
] | 0.965139 | [
0.4254799601393619,
0.0294819745702197,
-0.8480239773916536,
0.4187717515697565,
0.6696261157821541,
0.305487811964182,
0.5015073803258601,
-0.3150905293887279,
0.8566058060930665,
0.5723667175968977,
-0.1886534447062073,
-0.03350896778430279,
1.0910279095719788,
-0.16547738044583582,
-0... | {
"n_parameters": 37,
"n_qubits": 8,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 500 |
-6162580269881927644 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3, 4, 6], [1, 7], [8, 0, 4], [1, 2, 5, 6, 8], [1, 4, 5], [8, 0, 6, 7], [3, 7], [0, 1, 3], [0, 3, 5, 6, 8], [2, 4, 6, 7, 8], [2, 5, 6, 7, 8], [2, 3, 4, 6, 8]]} | {"states": [350, 181], "expectation_value": -0.11272676631466656, "params": [[0.07350000000000001], [-0.066]], "bitstrings": ["010100001", "101001010"], "total_optimization_steps": 10, "probabilities": [0.0021385136180506236, 0.0021549217033912725], "optimization_time": 5.16373348236084} | 0.3 * (Z(0) @ Z(3)) + 0.13333333333333333 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(0)) + 0.18333333333333335 * (Z(6) @ Z(3)) + 0.21666666666666667 * (Z(6) @ Z(0)) + 0.18333333333333335 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.05 * (Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.2166666666666672], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.216666666666667, "smallest_bitstrings": ["101001010"], "largest_eigenvalue": 11.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.10902137383278845) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.022654835389263984) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.012690604051378417) q[4];
cx q[0], q[4];
h q[5];
h q[6];
cx q[3], q[6];
rz(0.06979745370... | OPENQASM 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": []} | [
"IIIIIZIIZ",
"IIIIZZIII",
"IIIIZIIIZ",
"IIZIIZIII",
"IIZIIIIIZ",
"IIZIZIIII",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIIIZIIZI",
"IIZIIIIZI",
"IZIIIZIII",
"IZIIIIIIZ",
"IZIIZIIII",
"IZZIIIIII",
"IZIIIIIZI",
"ZIIIIZIII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"ZIZIIIIII",
"ZIIIIIIZI",
"ZZIIIIIII",
"... | [
0.3,
0.13333333333333333,
0.25,
0.18333333333333335,
0.21666666666666667,
0.18333333333333335,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.05,
0.5,
0.08333333333333333,
0.05,
0.18333333333333335,
0.5,
0.1,
0.3,
0.26666666666666666,
0.3333333333333333,
0.05,... | 0.977956 | [
0.10902137383278845,
0.022654835389263984,
-0.012690604051378417,
0.06979745370425378,
-0.09935502609433476,
0.0541933807304551,
0.013953985759766332,
-0.04386483266056533,
0.008971131621461492,
-0.021324313888590768,
-0.01414522902889365,
0.10503744238289171,
-0.02158121111666382,
0.08374... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -3.2166666666666672,
"target_ratio": 0.97,
"target_value": -3.120166666666667
} | 139 |
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": -24.883681447792732, "params": [[[0.0989, -0.267], [0.1102, -0.26630000000000004], [0.1095, -0.2654], [0.1009, -0.2677], [0.0414, -0.2742], [0.6023000000000001, 0.0002], [0.5939, -0.0002]], [[0.1053, -0.267], [0.1101, -0.2661], [0.1125, -0.2654], [0.1027, -0.2677], [0.0454, -0.27... | 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 | 3 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(1.3575967410398402) q[0];
ry(0.23056017395815415) q[0];
rz(-2.1527971274231117) q[0];
rz(2.1944677167826203) q[1];
ry(0.05030497465019496) q[1];
rz(-2.8091255821394294) q[1];
rz(-1.511568472926434) q[2];
ry(0.04553382172753725) q[2];
rz(1.3964510322511128) q[2];
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[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
2.75,
-10,
-10,
-10,
-10,
-10.25,
-9.5,
-9.25
] | 0.980973 | [
0.09085077104571271,
-0.39163003103168686,
0.029002652567583387,
-0.17994215576337833,
-0.023964673237098832,
-0.028853264432669792,
-0.16848169343109856,
-0.14065021757364785,
-0.17872212893725806,
-0.4178187803775564,
0.8594119505040079,
-0.03397819378386626,
0.7387488080723611,
-0.03214... | {
"n_parameters": 37,
"n_qubits": 7,
"optimal_eigenvalue": -31,
"target_ratio": 0.97,
"target_value": -30.07
} | 9 |
f589aa270dfef1a199e9418113b678ca | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [256, 255], "expectation_value": -0.20134096430416226, "params": [[0.06380000000000001], [-0.06430000000000001]], "bitstrings": ["011111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.002363454736647795, 0.0024035762380860476], "optimization_time": 2.719764232635498} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["100000000", "100010000"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022208305970681033) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.020696996434594557) q[2];
cx q[1], q[2];
h q[3];
cx q[0], q[3];
rz(0.022208305970681033) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.020696996434594557) 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;
input float[64] x5;
input float[64] x6;
input float[64] x7;
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];
... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIZIIZI",
"IIIIZIZII",
"IIIZIIIZI",
"IIIZIIZII",
"IIZIIIZII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIZIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"... | [
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
1.25,
-0.5,
-0.5,
-0.25,
-0.5,
0.5,
-0.25,
0.25,
1,
-1,
-0.5,
0.25,
0.25,
-0.5
] | 0.678231 | [
0.022208305970681033,
-0.020696996434594557,
1.5894637833590732,
1.57870266388029,
1.57151023785753,
1.5756654594871098,
-1.574839400170795,
-1.205521904166171
] | {
"n_parameters": 8,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 270 |
a95fe1af790884bf43922b4c66937937 | 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": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 7}, {"capac... | {"states": [0, 511], "expectation_value": -11.027722808419304, "params": [[[0.0032, -0.28950000000000004], [0.0007, 0.0031000000000000003], [0.003, 0.0022], [0.004200000000000001, 0.0024000000000000002], [0.0055000000000000005, 0.0022], [0.0063, 0.0021000000000000003], [0.0032, 0.0022], [0.0032, 0.0024000000000000002],... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(7) @ Z(1)) + -0.5 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(7)) + -0.5 * (Z(9) @ Z(1)) + 0.75 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(7)) + -0.75 * (Z(2) @ Z(8)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(7)) + -0.75 * (Z(3) @ Z(8)) + -0.25 * (Z(3) ... | 15 | 10 | 2 | {"smallest_eigenvalues": [-11.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.75, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.035323644296896314) q[0];
ry(0.09606502332896397) q[1];
ry(-0.27266609767624506) q[2];
ry(-0.06979675264468291) q[3];
ry(-0.10371062479573706) q[4];
ry(-0.2528520023814306) q[5];
ry(0.035323644296896314) q[6];
ry(0.035323644296896314) q[7];
ry(-0.04510936373531264... | OPENQASM 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": []} | [
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIZIIIIIZI",
"IZIIIIIIZI",
"IZZIIIIIII",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIZIIIIIII",
"IZIIIIIZII",
"IIIIIZZIII",
"IIZIIIZIII",
"IZIIIIZIII",
"ZIIIIIZIII",
"IIIIIIZZII",
"IIIIZZIIII",
"ZIIIZIIIII",
"IIIIZIIZII",
"IIIIZIZIII",
"IIIZIZIIII"... | [
-0.25,
-0.25,
-0.25,
-0.75,
-0.5,
-0.75,
-0.5,
0.75,
-0.5,
-0.75,
-0.5,
-0.5,
-0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-1,
-0.5,
0.75,
-0.25,
0,
-0.5,
0.25,
-1,
0.25,
0,
0.5,
0
] | 0.974578 | [
0.035323644296896314,
0.09606502332896397,
-0.27266609767624506,
-0.06979675264468291,
-0.10371062479573706,
-0.2528520023814306,
-0.045109363735312644,
2.4452675269104343,
0.04393449627057875,
0.03607181063416332,
-0.020264025357449412,
0.045923511204224006,
0.11283642718849557,
0.0551397... | {
"n_parameters": 31,
"n_qubits": 10,
"optimal_eigenvalue": -11.75,
"target_ratio": 0.97,
"target_value": -11.397499999999999
} | 64 |
4d4e30c23133cdbe880c92c0bcee29a6 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [238, 110], "expectation_value": -57.347651706306834, "params": [-0.004, -0.3739, 0.5196000000000001, 0.2379, 0.9029, 0.022000000000000002, 0.8845000000000001, 0.1325, 0.2927, 0.4152, 0.9048, 0.0752, 0.9022, 0.0008, 0.8999, 0.18630000000000002, 0.3422, 0.3385, -0.0007, -0.5438000000000001, 0.5252, 0.20070000... | 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(1) @ Z(3)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(6) @ Z(3)) + 6.0 * (Z(4) @ Z(6)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(8) @ Z(2)) + 6.0 * (Z(7) @ Z(1)) + 6.0 * (Z(7) @ Z(8)) + 12.0 * Z(3) + 14.5 * Z(2) + 9.0 * Z(1) + 14.0 * Z(6) + 2.5 * Z(4) + 6.5 * Z(5) + 3.0 * Z(8) + 9.5 * ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-75.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.5, "smallest_bitstrings": ["110010001"], "largest_eigenvalue": 140.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.08156933249944431) q[0];
rz(-0.47871935830256795) q[0];
rx(0.12471917391883788) q[1];
rz(0.23060271267992044) q[1];
rx(1.297714224417602) q[2];
rz(0.09335357724628555) q[2];
rx(1.0501852956393507) q[3];
rz(0.19106118165682695) q[3];
rx(-0.05578770442730084) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZZII",
"IIIIIZIZI",
"IIIIIIZZI",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIZZIIII",
"ZIIIIIZII",
"IZIIIIIZI",
"ZZIIIIIII",
"IIIIIZIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIZIIIIII",
"IIIIZIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIIIIIZ"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
12,
14.5,
9,
14,
2.5,
6.5,
3,
9.5,
-9.5
] | 0.97076 | [
-0.08156933249944431,
-0.26529635827652454,
0.12471917391883788,
0.23060271267992044,
1.297714224417602,
0.09335357724628555,
1.0501852956393507,
0.19106118165682695,
-0.05578770442730084,
0.6317295648940985,
0.9897188971847016,
0.12922643785891663,
1.0954444346902086,
-0.02696586564099186... | {
"n_parameters": 77,
"n_qubits": 9,
"optimal_eigenvalue": -75.5,
"target_ratio": 0.97,
"target_value": -73.235
} | 14 |
-2003614610574528410 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 5], [2, 3, 4], [0, 6], [1, 3]]} | {"states": [9, 13], "expectation_value": -1.6229809718340285, "params": null, "bitstrings": ["1110110", "1110010"], "total_optimization_steps": 45, "probabilities": [0.11461247365601177, 0.5060667706285521], "optimization_time": 36.15374684333801} | 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";
qubit[7] q;
h q[0];
ry(-0.31001430460817425) q[0];
h q[1];
ry(-0.7059529973756523) q[1];
h q[2];
ry(-0.24520409674356383) q[2];
h q[3];
h q[4];
h q[5];
ry(-0.31001430460817425) q[5];
cx q[3], q[5];
ry(0.31001430460817425) q[5];
cx q[3], q[5];
ry(1.4363537503843464) q[3];
cx q[3], 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[3], 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... | [
"IZIZIII",
"IIIZZII",
"IIZZIII",
"IIZIZII",
"ZIIIIIZ",
"IIIZIZI",
"IZIIIII",
"IIIZIII",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIIIIZ",
"IIIIIZI"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0,
0.16666666666666674,
0.16666666666666666,
0.16666666666666666,
0,
0,
0
] | 0.976442 | [
-0.6200286092163485,
1.4363537503843464,
-1.4119059947513046,
-0.8443682860363719,
0.9725385323511812,
0.07270621288881819,
-0.6441680928957553,
0.3442600358997526,
-0.42220855450026085,
-0.37533944970327476,
-0.22695370570812837,
0.16629670158303325,
-0.49040819348712766,
0.70494931559641... | {
"n_parameters": 42,
"n_qubits": 7,
"optimal_eigenvalue": -1.8333333333333333,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 18 |
1fd32350c6b58ebe75a7ee0bc05f9883 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4},... | {"states": [1788, 2044], "expectation_value": -12.233302366878156, "params": [0.8337, 0.0443, -0.017400000000000002, 0.0049, 1.3332000000000002, 0.0019, -0.4963, 0.0011, 1.4014, 0.8021, -0.2936, 0.009300000000000001, 1.5698, 0.9870000000000001, -0.8232, 0.0095, 1.5584, 0.7185, -0.2602, 0.0048000000000000004, 1.62360000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(10)) + -1.0 * (Z(2) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -1.0 * Z(10) + -1.0 * Z(9) + 0.5 * Z(3) + 0.5 * Z(2) | 6 | 11 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["00000000011"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.9823172978385183) q[0];
cx q[1], q[0];
rz(-1.5707963045447277) q[0];
rx(1.5707963068411077) q[0];
rz(-1.5707963045447277) q[1];
rx(1.5707963068411077) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(2.853751104430121e-09) q[2];
cx q[3], q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIZZIIIII",
"IIZZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIZZII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIZIIIIIII",
"ZIIIIIIIIII",
"IZIIIIIIIII",
"IIIIIIIZIII",
"IIIIIIIIZII"
] | [
-1.5,
-1.5,
-1.5,
-1,
-1,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5
] | 0.862365 | [
0.9823172978385183,
2.853751104430121e-9,
-1.5707963045447277,
1.5707963068411077
] | {
"n_parameters": 4,
"n_qubits": 11,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 119 |
b4d49656bffdf06123a6759fe750c954 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "source": ... | {"states": [0, 256], "expectation_value": -18.577955436715683, "params": [-0.0018000000000000002, 0.2662, -0.0053, 0.2723, 0.001, 0.3053, 0.0029000000000000002, 0.30960000000000004, 0.0078000000000000005, 0.2039, -0.003, 0.3022, 0.4062, 0.0015, 0.4097, 0.0018000000000000002, -0.0008, 0.2587, 0.0064, 0.3131, 0.0041, 0.2... | -0.75 * (Z(0) @ Z(5)) + -0.5 * (Z(9) @ Z(5)) + -0.25 * (Z(9) @ Z(0)) + -0.25 * (Z(11) @ Z(5)) + -0.75 * (Z(11) @ Z(0)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(2) @ Z(9)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(7) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(9)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(... | 6 | 12 | 2 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["111011111111"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.03590676149021464) q[0];
rz(pi/2) q[0];
ry(0.059795606217184674) q[1];
ry(0.19351506903453203) q[2];
ry(0.27619808624025) q[3];
ry(0.16218461761515757) q[4];
ry(0.04264955184039291) q[5];
ry(-0.012788416687019431) q[6];
ry(-0.11669887957070815) q[7];
ry(0.12535437... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIZ",
"IIZIIIZIIIII",
"IIZIIIIIIIIZ",
"ZIIIIIZIIIII",
"ZIIIIIIIIIIZ",
"IIIIIIIIIZIZ",
"IIZIIIIIIZII",
"IIIIIIZIIIZI",
"IIIIIIIIIZZI",
"IIIIZIIIIIZI",
"IIIIIIZZIIII",
"IIZIIIIZIIII",
"IIIIIIIZIIZI",
"IIIIZIIZIIII",
"IIIIIZZIIIII",
"IIZIIZIIIIII",
"ZIIIIZIIIIII",
"IIIIIZIII... | [
-0.75,
-0.5,
-0.25,
-0.25,
-0.75,
-0.5,
-0.25,
-0.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-1.5,
-0.75,
-0.5,
-0.75,
-0.75,
2.5,
-0.5,
-0.25,
-0.25,
-0.75,
-1,
-0.25,
-0.25,
-0.25,
-0.75,
-0.75,
-0.75,
-0.75,
-0.75,
-0.25,
0.5,
... | 0.980924 | [
0.03590676149021464,
0.059795606217184674,
0.19351506903453203,
0.27619808624025,
0.16218461761515757,
0.04264955184039291,
-0.012788416687019431,
-0.11669887957070815,
0.12535437746036254,
-0.18442818217748028,
-0.020326345139441232,
0.13506204257674642,
0.011920069052916298,
0.1510344717... | {
"n_parameters": 152,
"n_qubits": 12,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 6 |
1544988c6452fa79840159cabec617a0 | 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": 1, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capac... | {"states": [1, 3], "expectation_value": -16.174322268805255, "params": [-0.25170000000000003, -0.00030000000000000003, -0.2349, 0.0002, -0.0064, 0.17370000000000002, 0.0021000000000000003, 0.24020000000000002, -0.0005, 0.19060000000000002, 0.0, 0.2001, -0.0023, 0.22990000000000002, 0.0028, 0.1945, -0.005, 0.23950000000... | -0.75 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + -1.5 * (Z(6) @ Z(2)) + -0.5 * (Z(9) @ Z(3)) + 2.25 * (Z(9) @ Z(0)) + -1.0 * (Z(7) @ Z... | 6 | 10 | 3 | {"smallest_eigenvalues": [-18.25, -18.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.25, "smallest_bitstrings": ["1111111100", "1111111110"], "largest_eigenvalue": 18.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.21991237157639332) q[0];
rz(1.8883065486132224) q[0];
rx(0.05960623267992694) q[1];
rz(1.8782531400359819) q[1];
rx(0.10333697073906706) q[2];
rz(1.8763157157781238) q[2];
rx(0.09107531421740404) q[3];
rz(1.5652853808599527) q[3];
rx(-0.31270790172871954) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIIZIZIII",
"IIIIZIIIIZ",
"IIIIZIIIZI",
"IIIIIZIZII",
"IIIIZIIZII",
"IIIIIIIZZI",
"IIIZIIIIZI",
"IIIZIIIZII",
"ZIIIIIZIII",
"ZIIIIIIIIZ",
"IIZIIZIIII",
"IIZIZIIIII",
"IIZIIIIIZI",
"IZIIIZIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IIIIIIZIII"... | [
-0.75,
-0.5,
-0.25,
-0.25,
-1,
-0.75,
-1,
-0.25,
-0.5,
-1,
-1.5,
-0.5,
2.25,
-1,
-1,
-0.25,
-1,
-0.5,
-1.5,
-0.5,
-0.25,
-0.25,
-2.75,
0,
-2.75,
1.5,
1.75,
0.25,
3
] | 0.970376 | [
-0.21991237157639332,
0.3175102218183261,
0.05960623267992694,
0.3074568132410857,
0.10333697073906707,
0.3055193889832275,
0.09107531421740403,
-0.005510945934944347,
-0.31270790172871954,
0.13462944472402377,
0.18458068034576589,
0.05874535421467787,
0.5084344925593844,
0.026157723503872... | {
"n_parameters": 133,
"n_qubits": 10,
"optimal_eigenvalue": -18.25,
"target_ratio": 0.97,
"target_value": -17.7025
} | 20 |
addce8ebbb7a38bf4f3d8f2e9c4914fc | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5},... | {"states": [120, 1784], "expectation_value": -1.4880845025966907, "params": [[0.0659], [-0.0651]], "bitstrings": ["11110000111", "00100000111"], "total_optimization_steps": 10, "probabilities": [0.0008440122610996468, 0.0008848076076814591], "optimization_time": 2.181565999984741} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(6)) + -2.0 * (Z(8) @ Z(2)) + -2.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(8)) + 1.0 * (Z(10) @ Z(2)) + -2.0 * (Z(10) @ Z(9)) + ... | 5 | 11 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["00100000111"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.1785433226287565) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.12831323354234778) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.12831323354234803) q[1];
rx(-1.0186870856521566) q[1];
rz(-1.1785433226287565) q[3];
cx q[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;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1... | {"node": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IIIZIZIIIII",
"IIIZIIZIIII",
"IIIZZIIIIII",
"IIZIIIIIZII",
"IZIIIIIIZII",
"IZZIIIIIIII",
"ZIIIIIIIZII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIIIIZII... | [
-1.5,
0.5,
-1.5,
-2,
-2,
-2,
-2,
1,
-2,
-2,
-2.5,
0.5,
1,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
1,
-1.5,
-1.5
] | 0.562328 | [
-1.1785433226287565,
-0.12831323354234778,
-0.7672845437774662,
-0.2023576392765123,
-0.25043439980825344,
-1.0186870856521566
] | {
"n_parameters": 6,
"n_qubits": 11,
"optimal_eigenvalue": -24,
"target_ratio": 0.97,
"target_value": -23.28
} | 180 |
ad2c8808e4e24f79d1ce4f9a8d64bbe1 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 1, "source": 1, ... | {"states": [57, 61], "expectation_value": -7.99999260634772, "params": null, "bitstrings": ["11000110", "11000010"], "total_optimization_steps": 50, "probabilities": [1.8042475181095282e-06, 0.9999981319545665], "optimization_time": 62.698726654052734} | -0.5 * (Z(0) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["11000010"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-0.014854315310046964) q[0];
ry(-0.03729676010121815) q[1];
rz(-pi) q[1];
h q[2];
ry(0.8055963103906512) q[2];
h q[3];
ry(1.5413867232941334) q[3];
h q[4];
ry(0.8055963103906512) q[4];
cx q[3], q[4];
ry(-0.8055963103906512) q[4];
cx q[3], q[4];
h q[5];
... | 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[... | [
"IIIIIIZZ",
"ZIIIIIIZ",
"IIZIIIZI",
"ZIZIIIII",
"IZIIIIZI",
"IIIIIZZI",
"IIZIIZII",
"IIIIZIZI",
"ZIIIZIII",
"IIZIZIII",
"IZIIZIII",
"IIIIZZII",
"ZIIZIIII",
"IIZZIIII",
"IZIZIIII",
"IIIZIZII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"ZIIIIIII",
"IIZIIIII",
"IZIIIIII",
"IIIIIZI... | [
-0.5,
0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.75,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-1,
-0.25,
-0.25,
0.25,
-0.75,
-0.25,
1.25,
1
] | 0.998931 | [
1.5413867232941334,
1.6111926207813023,
1.5582303119186558,
1.5849264559127798,
-1.5965526985559542,
-1.4420256266999978,
-1.5801916192047236,
-0.18294787998736117,
-0.01192451884967978,
0.04787332815945153,
0.021804112902021354,
0.06662708175304768,
0.08666792215002461
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 1 |
aff16494716409c93ae0c6b924acb428 | 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": 6, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 7, "source": 1, "target": 2... | {"states": [33, 1], "expectation_value": -1.506456815171308, "params": [[-0.0337, 0.034300000000000004, 0.035, 0.0674], [0.0649, -0.0028, -0.0143, -0.040400000000000005]], "bitstrings": ["1011110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.012719517351650736, 0.014568749270293883], "optimization_t... | -1.5 * (Z(0) @ Z(3)) + -1.25 * (Z(5) @ Z(0)) + 3.0 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -2.0 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -1.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -2.25 * Z(3) + -0.25 * Z(0) + 0.75 * Z(5) + 3.0 * Z(6) + 1.25 * Z(1) + -2.5 * Z(2) + 0... | 1 | 7 | 4 | {"smallest_eigenvalues": [-17.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 17.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.17213197499966565) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(0.07476442289212104) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(-0.47901700998870134) q[4];
cx q[3], q[4];
rz(0.3504210231928404) q[3];
rx(0.01985686519069... | OPENQASM 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": []} | [
"IIIZIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IZIIIZI",
"IIIZZII",
"IZIIZII",
"IIIIZZI",
"IIZZIII",
"IZZIIII",
"IIZIZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
-1.5,
-1.25,
3,
-0.25,
-0.25,
-0.5,
-2,
-0.5,
-1.25,
-0.75,
-2.25,
-0.25,
0.75,
3,
1.25,
-2.5,
0
] | 0.970352 | [
-0.17213197499966565,
-0.00464843643423988,
0.009698808451135995,
0.07476442289212104,
-0.47901700998870134,
0.02577905338994005,
-0.24727051080343204,
0.3504210231928386,
0.3119955203211965,
-0.8454856564029164,
0.2802866890985153,
-0.36926583491198095,
0.01985686519069632,
0.143665584847... | {
"n_parameters": 46,
"n_qubits": 7,
"optimal_eigenvalue": -17.25,
"target_ratio": 0.97,
"target_value": -16.732499999999998
} | 130 |
2059722323477022697 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 4], [1, 2], [2, 4, 5], [1, 3, 5], [0, 2], [3, 4]]} | {"states": [53, 11], "expectation_value": -0.017184934007139406, "params": [[0.047], [-0.036000000000000004]], "bitstrings": ["001010", "110100"], "total_optimization_steps": 10, "probabilities": [0.01601346387086255, 0.016013697237401387], "optimization_time": 2.487257719039917} | 0.5 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9999999999999996, "smallest_bitstrings": ["110100"], "largest_eigenvalue": 3.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.8913631124619755) q[0];
cx q[4], q[0];
cx q[4], q[2];
rz(0.02994382153530613) q[2];
cx q[4], q[2];
cx q[0], q[2];
rz(0.8913631124619755) q[2];
cx q[0], q[2];
rz(-0.026884509607334905) q[0];
rx(-0.82251467924558... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[2];
rz(x1) q[2];
cx q[4], q[2];
cx q[0], q[2];
rz(x0) q[2]... | null | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"IZIZII",
"IIIZIZ",
"IIIZZI",
"ZZIIII",
"ZIIZII",
"ZIIIZI",
"IZZIII",
"IIZIZI",
"ZIZIII",
"IZIIII",
"IIIIIZ",
"IIIZII",
"IIIIZI",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666674,
0,
0.16666666666666674,
0.16666666666666663,
0.3333333333333333,
0.16666666666666663
] | 0.672075 | [
0.8913631124619755,
0.02994382153530613,
-0.02688450960733438,
1.558222572243899,
-0.8225146792455859
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -2.0000000000000004,
"target_ratio": 0.97,
"target_value": -1.9400000000000004
} | 139 |
-88670316365737960 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 4, 7], [0, 1, 2, 6, 8], [0, 8, 4, 5], [0, 5, 6], [0, 4, 6], [3, 5, 6, 7], [3, 4, 6, 7, 8], [2, 3], [0, 3, 4, 5], [1, 2, 4, 6], [0, 1, 2, 6, 7], [1, 4, 5, 7], [1, 2, 5, 6, 7], [1, 3]]} | {"states": [223, 221], "expectation_value": -3.3018121934312004, "params": null, "bitstrings": ["100100000", "100100010"], "total_optimization_steps": 62, "probabilities": [0.04099958097780521, 0.8088628154533567], "optimization_time": 182.54590249061584} | 0.18333333333333335 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.41666666666666663 * (Z(4) @ Z(0)) + 0.18333333333333335 * (Z(7) @ Z(2)) + 0.13333333333333333 * (Z(7) @ Z(0)) + 0.21666666666666667 * (Z(7) @ Z(4)) + 0.23333333333333334 * (Z(1) @ Z(2)) + 0.1 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.4666666666666672], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.183333333333334, "smallest_bitstrings": ["100100010"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.27018993840271677) q[0];
h q[1];
h q[2];
h q[3];
ry(-0.36165476346086317) q[3];
cx q[2], q[3];
ry(0.36165476346086317) q[3];
cx q[2], q[3];
ry(-0.29619768228534554) q[3];
cx q[1], q[3];
ry(0.29619768228534554) q[3];
cx q[1], q[3];
ry(0.4429164539333519) q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5676) 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] = m... | [
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZIIIZ",
"IZIIIIZII",
"IZIIIIIIZ",
"IZIIZIIII",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZIIZI",
"IZIIIIIZI",
"IIZIIIZII",
"IIZIIIIIZ",
"IIZIZIIII",
"IZZIIIIII",
"IIZIIIIZI",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"ZZIIIIIII",
"ZIIIIIIZI",
"ZIZIIIIII",
"... | [
0.18333333333333335,
0.16666666666666666,
0.41666666666666663,
0.18333333333333335,
0.13333333333333333,
0.21666666666666667,
0.23333333333333334,
0.1,
0.16666666666666666,
0.18333333333333335,
0.23333333333333334,
0.4333333333333333,
0.3,
0.23333333333333334,
0.23333333333333334,
0.05... | 0.971335 | [
1.6817287713463478,
1.3767754073222929,
1.009683149273174,
-0.7233095269217263,
0.5850953021051054,
-0.5923953645706911,
-0.5403798768054335,
0.673752673194753,
-0.8858918502976748,
0.6179188392196677,
0.5660790175744613,
-0.18769016136630312,
-0.3316993465890981,
0.8858329078667038,
-0.... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -3.4666666666666672,
"target_ratio": 0.97,
"target_value": -3.362666666666667
} | 16 |
8bb6b71c9e46146ce3eef118dcc5794b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [211, 205], "expectation_value": -82.17114289006079, "params": [[[1.5735000000000001, 1.5736], [1.574, -1.5688], [1.5730000000000002, 1.5741], [-1.5684, -0.3643], [1.5730000000000002, 3.2336], [1.5683, 1.5511000000000001], [1.5730000000000002, 3.7992000000000004], [1.5679, -1.5678], [1.5729, 1.57310000000000... | 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(8) @ Z(2)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(6) @ Z(8)) + 6.5 * (Z(6) @ Z(7)) + 3.0 * Z(0) + 22.0 * Z(2) + 19.5 * ... | 15 | 9 | 1 | {"smallest_eigenvalues": [-98.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -89.5, "smallest_bitstrings": ["100110010"], "largest_eigenvalue": 209.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.5446239467246239) q[0];
ry(1.6651156772494962) q[1];
ry(1.5043176437199817) q[2];
ry(-1.5605478571158535) q[3];
ry(1.5043176437199817) q[4];
ry(1.5331054783454776) q[5];
ry(1.5043176437199817) q[6];
ry(1.6284130883025048) q[7];
ry(1.7359773178552378) q[8];
cx 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] ... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIZIIZII",
"IIIIZIIZI",
"IIIZZIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIZIIIIZI",
"IIZIZIIII",
"ZIZIIIIII",
"IZZIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIZIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIZIIIIII",
"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
3,
22,
19.5,
14,
9.5,
22.5,
4,
19,
-11.5
] | 0.97283 | [
1.5446239467246239,
1.6651156772494962,
1.5043176437199817,
-1.5605478571158535,
1.5331054783454776,
1.6284130883025048,
1.7359773178552378,
1.6113091637034918,
-1.6799368909728538,
1.5287023367120933,
-1.4743779695899433,
4.131062167714379,
1.553386875510482,
4.710778708466374,
-1.70853... | {
"n_parameters": 16,
"n_qubits": 9,
"optimal_eigenvalue": -98.5,
"target_ratio": 0.97,
"target_value": -95.545
} | 29 |
4308bd9f270854a76f6e3211499ef092 | matching | 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": [{"weight": 6, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 8}, {"weight": 16, "source": 0, "target": 3}, {"weight":... | {"states": [504, 440], "expectation_value": -80.2159139281564, "params": [0.27040000000000003, -0.2068, 0.27030000000000004, -0.215, 0.6985, 0.10350000000000001, 0.6921, 0.10350000000000001, 0.6966, 0.0981, 0.7025, 0.0908, 0.4273, -0.1704, 0.4244, -0.17, 0.6948000000000001, 0.1044, 0.6944, 0.09670000000000001, 0.7026, ... | 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(2)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(8) @ Z(5)) + 5.5 * (Z(9) @ Z(2)) + 5.5 * (Z(9) @ Z(6)) + 20.0 * Z(2) ... | 5 | 10 | 2 | {"smallest_eigenvalues": [-96.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.5, "smallest_bitstrings": ["1001000111"], "largest_eigenvalue": 172.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.22351474680414832) q[0];
rz(-0.30963079898876167) q[0];
rx(0.6842023106431837) q[1];
rz(0.3115679470753756) q[1];
rx(0.7195428875380401) q[2];
rz(0.234237333388418) q[2];
rx(0.21053519512395738) q[3];
rz(0.005956704032278548) q[3];
rx(0.8222304057403687) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIZIIIZII",
"IIIZIIIIZI",
"IIIZIIZIII",
"IIZIIZIIII",
"IZIIZIIIII",
"ZIIIIIIZII",
"ZIIZIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIZIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
20,
3,
19,
11.5,
11.5,
12.5,
16.5,
-1.5,
-2,
5
] | 0.971377 | [
-0.2235147468041483,
-0.35587465223864406,
0.6842023106431837,
0.2474168766322769,
0.7195428875380401,
0.21016704369630002,
0.21053519512395738,
0.11693600516223701,
0.8222304057403687,
-0.2714670683020382,
0.5449373522450697,
-0.18430326874696704,
0.6229444988030417,
0.16834045794923091,
... | {
"n_parameters": 96,
"n_qubits": 10,
"optimal_eigenvalue": -96.5,
"target_ratio": 0.97,
"target_value": -93.605
} | 44 |
8198021928293f705270038472b9e016 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 7, "source": 0, "target": 3}, {"capacity": 7, "s... | {"states": [0, 1], "expectation_value": -23.28287739432645, "params": [0.0022, -0.09970000000000001, 0.0022, -0.0876, 0.0056, -0.0947, -0.0002, -0.1519, 0.0015, -0.14830000000000002, 0.0043, -0.1479, 0.0004, -0.1494, 0.003, -0.14930000000000002, 0.0012000000000000001, -0.1456, 0.0051, -0.1502, -0.001, -0.151, 0.0055000... | -1.0 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(0)) + -1.75 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(3)) + 5.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(3)) + -2.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(... | 5 | 9 | 4 | {"smallest_eigenvalues": [-33.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.25, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 23.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.2154578741281564) q[0];
rz(0.34104839509878815) q[0];
rx(0.014353031530877552) q[1];
rz(-0.20570222180983766) q[1];
rx(0.08050603302810429) q[2];
rz(-0.008367973851877153) q[2];
rx(0.08050603302810427) q[3];
rz(0.16236793919225168) q[3];
rx(0.12664392325642937) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIIIIIIIZ",
"ZIIIIIZII",
"IIIIZIIZI",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IZIIIIZII",
"IZIIIZIII",
"IZZIIIIII",
"IZIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"... | [
-1,
-0.5,
-1,
-0.5,
-1.75,
-1.75,
-1.5,
5.75,
-0.5,
-1,
-0.5,
-1.25,
-2.75,
-0.5,
-0.25,
-0.25,
-0.25,
-1.75,
-1,
-0.75,
-0.25,
-0.75,
0.25,
-1,
5.25,
0,
-0.5,
-2.25
] | 0.970861 | [
-0.21545787412815637,
0.3285993477694789,
0.014353031530877552,
-0.021653355952673856,
0.08050603302810427,
-0.07075527064291534,
0.1259199627627,
0.12664392325642937,
-0.06670408457052271,
-0.12000144934019084,
0.21144554096104196,
-0.14863542639379768,
-0.11968746102607022,
0.24510922225... | {
"n_parameters": 23,
"n_qubits": 9,
"optimal_eigenvalue": -33.25,
"target_ratio": 0.97,
"target_value": -32.2525
} | 9 |
8b728336ad3683dd456df6c3643255c8 | 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": [355, 419], "expectation_value": -95.56079096699163, "params": [0.0022, -0.7857000000000001, -0.0023, 1.8757000000000001, 1.1103, -0.1203, 1.0599, 0.6792, 0.729, -0.6895, 1.0451000000000001, 0.2096, 0.0028, 1.0285, 0.002, 0.7602, -0.0023, -1.5259, 1.0947, 0.0268, 1.0491000000000001, -0.17900000000000002, 0.0... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(8) @ Z(5)) + 7.5 * (Z(10) @ Z(8)) + 7.5 * (Z(0) @ Z(10)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(9) @ Z(10)) + 7.0 * Z(2) + -3.5 * Z(1) + 3.5 * Z(4) + -1.5 * Z(3) + 10.0 * Z(5) + -3.0 * Z(6) + 12.5 * Z(8) + 14.0 * Z(10) + -2.5 * Z... | 18 | 11 | 3 | {"smallest_eigenvalues": [-97.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -92.5, "smallest_bitstrings": ["11001011100"], "largest_eigenvalue": 126.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.06085813990619192) q[0];
rz(-0.927523771470737) q[0];
rx(-0.024807412917551955) q[1];
rz(1.8051685745674002) q[1];
rx(1.1137990506645126) q[2];
rz(-0.20990368068163828) q[2];
rx(1.0260476994275163) q[3];
rz(0.8312584138739335) q[3];
rx(0.7385857729404518) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIZZIIIII",
"IIZIIZIIIII",
"ZIZIIIIIIII",
"ZIIIIIIIIIZ",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IIZIIIIIIII",
"ZIIIIIIIIII",
"IIIIIIIIIIZ",
"IZIIIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7,
-3.5,
3.5,
-1.5,
10,
-3,
12.5,
14,
-2.5,
8,
-14.5
] | 0.971237 | [
-0.06085813990619191,
-0.7995069699140401,
-0.024807412917551955,
1.8051685745674002,
1.1137990506645126,
-0.20990368068163828,
1.0260476994275163,
0.8312584138739335,
0.7385857729404518,
-0.6899606816972831,
1.2252825763410995,
0.1647051198748133,
-0.18392987678710315,
1.0014735156180554,... | {
"n_parameters": 91,
"n_qubits": 11,
"optimal_eigenvalue": -97.5,
"target_ratio": 0.97,
"target_value": -94.575
} | 2 |
38a8ea917717857361ecf62272954c7d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [250, 186], "expectation_value": -114.28072392904576, "params": [-0.0025, 0.0056, -0.0029000000000000002, 0.0055000000000000005, 0.331, 0.0025, 2.891, 0.0083, 1.5601, 0.0038, 2.9058, 0.0083, 2.8966000000000003, 0.006, 2.8985000000000003, 0.0012000000000000001, 0.003, 0.008400000000000001, 2.9028, 0.0061, 0.4... | 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(1) @ Z(6)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(4) @ Z(6)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(7) @ Z(3)) + 7.5 * (Z(7) @ Z(4)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(9) @ Z(2)) + 7.5 * (Z(10) @ Z(5)) + 7.5 * (Z(10) @ Z(9)) + 16.5 * Z(3) + 0.5 * Z(2) + 13.0 * Z(6) + -5.5 * Z(1) +... | 18 | 11 | 1 | {"smallest_eigenvalues": [-130.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -106.5, "smallest_bitstrings": ["11101000101"], "largest_eigenvalue": 179.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.10670700457481898) q[0];
rz(0.22034042914780994) q[0];
rx(0.1391935563156914) q[1];
rz(-0.08158758528657867) q[1];
rx(0.0796708979438498) q[2];
rz(-0.6027213846036299) q[2];
rx(3.004682278388474) q[3];
rz(0.07828376872916774) q[3];
rx(0.5892018900918055) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZII",
"IIIIZIIIIZI",
"IIIIZZIIIII",
"IIIIIIZZIII",
"IIIIZIZIIII",
"IIIIIZZIIII",
"IIIZIIIZIII",
"IIIZIIZIIII",
"IIZZIIIIIII",
"IZIIIIIIZII",
"ZIIIIZIIIII",
"ZZIIIIIIIII",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIZIIIIII",
"IIIIIIIIIZI",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIIZIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
16.5,
0.5,
13,
-5.5,
15.5,
18,
16.5,
-4.5,
6.5,
1,
-12
] | 0.970148 | [
0.10670700457481899,
0.25956996866609217,
0.1391935563156914,
-0.08158758528657867,
0.0796708979438498,
-0.6027213846036299,
3.004682278388474,
0.07828376872916774,
0.5892018900918055,
-0.02053294789155806,
3.2875625007609255,
3.1386755775267607,
0.14158565331846337,
2.9932366772787495,
... | {
"n_parameters": 31,
"n_qubits": 11,
"optimal_eigenvalue": -130.5,
"target_ratio": 0.97,
"target_value": -126.585
} | 8 |
6486588382738596590 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 3], [0, 4, 6], [1, 4, 6], [0, 3, 4, 5], [0, 1, 2, 5], [0, 3, 6]]} | {"states": [43, 99], "expectation_value": -0.03384181430184008, "params": [[-0.0497], [0.0587]], "bitstrings": ["1010100", "0011100"], "total_optimization_steps": 10, "probabilities": [0.008025612574773421, 0.008049457870123813], "optimization_time": 2.2271087169647217} | 0.25 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.41666666666666663 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.3333333333333333 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.3333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.7499999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5000000000000004, "smallest_bitstrings": ["0011100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-3.633496323897585e-08) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-3.3350156548518685e-08) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-1.7216389809637115e-07) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-3.3350156548518685e-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZZIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIZIII",
"ZIZIIII",
"IZIIIZI",
"IZIIIIZ",
"IZIZIII",
"IZZIIII",
"IIIIZZI",
"IIIIZIZ",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII",
"IIIIZII"
] | [
0.25,
0.16666666666666666,
0.41666666666666663,
0.16666666666666666,
0.25,
0.08333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.0... | 0.857143 | [
-3.633496323897585e-8,
-3.3350156548518685e-8,
-1.7216389809637115e-7,
1.2350785348768414e-8,
3.9356037486464786e-8,
-1.5707963989663618,
1.5707963172785542,
-1.570796201540142,
-1.5707963791547093,
-1.5707964332693878,
1.5707964367715685
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -1.7499999999999998,
"target_ratio": 0.97,
"target_value": -1.6974999999999998
} | 268 |
2df93713dba52fbc8f2926f6b2fd57be | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 3, ... | {"states": [63, 25], "expectation_value": -0.5249362649340643, "params": [[0.0536, 0.0592, 0.061500000000000006], [-0.0287, -0.049600000000000005, -0.050800000000000005]], "bitstrings": ["11000000", "11100110"], "total_optimization_steps": 10, "probabilities": [0.00658123836449501, 0.0066507754556466465], "optimization... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + 1.0 * (Z(7) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(4) @ Z(7)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(2) + 0.0 * Z(7) + 1.0 * Z(3) + 0.75 * Z(4) + 0.25 * Z(5) + 0.0 * Z(6) | 1 | 8 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["11100110", "11100000", "11100010"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.2949175491820306) q[0];
ry(-0.5718315361379981) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.014198824758824193) q[2];
h q[3];
ry(0.8153655793536955) q[3];
h q[4];
ry(1.7358025262701822) q[4];
ry(-3.1020867817151703) q[5];
rz(-pi) q[5];
h q[6];
cx q[6], q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"ZIIIIIIZ",
"IIIIZZII",
"ZIIIZIII",
"ZIIZIIII",
"IIZZIIII",
"IZIIIZII",
"IZZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"ZIIIIIII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-0.5,
-0.25,
1,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-1.25,
0,
1,
0.75,
0.25,
0
] | 0.978876 | [
-1.6615171206744725,
1.7358025262701822,
-0.5898350983640612,
1.4494700949935044,
1.630731158707391,
-0.961733679987851,
1.4386247151708065,
0.06190878182737325,
-0.37241896942618374,
0.1853314794989342,
0.12371533057551468,
-0.07230134059792101,
-0.818259384585675,
0.003388180207093014,
... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 12 |
4700601e722e5f0a0c40acc2968ffc97 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [49, 21], "expectation_value": -2.23595991014814, "params": null, "bitstrings": ["001110", "101010"], "total_optimization_steps": 25, "probabilities": [0.10409742217291358, 0.8722896787888064], "optimization_time": 22.69337034225464} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(1) @ Z(5)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(5) @ Z(3)) ... | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.25, "smallest_bitstrings": ["100011", "100110", "101010", "010110", "001110"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.6706529503752435) q[0];
h q[1];
ry(1.4146339409758935) q[1];
h q[2];
ry(-0.5581047246583587) q[2];
h q[3];
cx q[3], q[0];
ry(0.6706529503752435) q[0];
cx q[3], q[0];
ry(-0.44205081723318096) q[0];
ry(0.9054299760275487) q[3];
rz(-pi) q[4];
ry(-0.0725877717... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[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 \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZIIZI",
"ZIIIZI",
"ZZIIII",
"ZZIIZI",
"IIZZII",
"ZIIZII",
"ZIZIII",
"ZIZZII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.25,
0,
0,
-0.25,
-0.75,
0
] | 0.991225 | [
-1.6704548362417395,
-1.341305900750487,
1.4146339409758935,
0.973194262912994,
-1.1162094493167174,
0.6844911620078096,
-0.48532124205514987,
0.5740763702252564,
0.27498873776268346,
-0.23622283509959657,
0.44187762803947833,
-0.4116559642671688,
0.5069271119789323,
-0.18155338475627356,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
-8206333408252682957 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 2, 3, 4, 6, 8], [0, 4, 5, 6, 8, 9], [1, 3, 4, 5, 6, 7, 9], [0, 3, 5, 6], [0, 2, 4, 7], [0, 3, 7], [2, 5, 7], [0, 2, 3, 4, 9], [0, 1, 7, 8, 9], [1, 2, 4, 7], [0, 1, 2, 4, 5, 6, 8], [1, 3, 6, 8, 9], [4, 5, 7, 8, 9], [1, 2, 3, 6, 9]]} | {"states": [1011, 1010], "expectation_value": -2.027510989826873, "params": [2.6273, 0.0051, 2.6397, 0.0025, 2.3988, 0.009300000000000001, 2.6034, 0.0077, 1.6781000000000001, 0.0022, 2.6267, 0.0051, 1.5493000000000001, 0.0073, 1.5472000000000001, 0.0055000000000000005, 2.6036, 0.0032, 1.5549000000000002, 0.0051, 0.0006... | 0.19047619047619047 * (Z(1) @ Z(2)) + 0.13333333333333336 * (Z(3) @ Z(2)) + 0.15714285714285714 * (Z(3) @ Z(1)) + 0.27380952380952384 * (Z(4) @ Z(2)) + 0.16428571428571428 * (Z(4) @ Z(1)) + 0.10714285714285715 * (Z(4) @ Z(3)) + 0.10714285714285715 * (Z(6) @ Z(2)) + 0.18095238095238092 * (Z(6) @ Z(1)) + 0.24047619047619... | 3 | 10 | 1 | {"smallest_eigenvalues": [-3.0690476190476192], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0333333333333337, "smallest_bitstrings": ["0000001101"], "largest_eigenvalue": 14.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(3.001221220057134) q[0];
rz(0.7847725372338821) q[0];
rx(-3.0408401720905087) q[1];
rz(-1.510113485368084) q[1];
rx(-3.0497519072043335) q[2];
rz(0.0015610428470198556) q[2];
rx(2.908703180016878) q[3];
rz(1.4157023371173665) q[3];
rx(-3.0302268939723445) q[4];
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": []} | [
"IIIIIIIZZI",
"IIIIIIZZII",
"IIIIIIZIZI",
"IIIIIZIZII",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIZIIIZII",
"IIIZIIIIZI",
"IIIZIIZIII",
"IIIZIZIIII",
"IZIIIIIZII",
"IZIIIIIIZI",
"IZIIIIZIII",
"IZIIIZIIII",
"IZIZIIIIII",
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIZIIIIIZ"... | [
0.19047619047619047,
0.13333333333333336,
0.15714285714285714,
0.27380952380952384,
0.16428571428571428,
0.10714285714285715,
0.10714285714285715,
0.18095238095238092,
0.24047619047619045,
0.11428571428571428,
0.05714285714285714,
0.15714285714285714,
0.08333333333333334,
0.140476190476190... | 0.970377 | [
3.001221220057134,
0.47688984791157685,
3.242345135089078,
-0.9592264375973021,
3.233433399975253,
0.3770558417231292,
2.908703180016878,
1.1062564213290411,
3.252958413207242,
-0.48094356844088715,
2.7663837978603008,
0.2361131751328684,
1.382656522454555,
0.07294728273067666,
-0.344445... | {
"n_parameters": 27,
"n_qubits": 10,
"optimal_eigenvalue": -3.0690476190476192,
"target_ratio": 0.97,
"target_value": -2.9769761904761904
} | 30 |
-2555523066556563935 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 7], [9, 10, 5], [0, 2, 4, 8, 9, 10, 11], [0, 1, 2, 3, 8, 11], [0, 1, 5, 6, 8, 9, 11], [1, 3, 5, 6, 7, 10]]} | {"states": [4088, 4024], "expectation_value": -1.58257829555889, "params": [1.5875000000000001, 1.5926, 1.3176, 1.8196, 1.57, 1.5659, 1.5716, 1.5748, 1.5704, 1.566, 2.3848000000000003, 2.3787000000000003, 1.5725, 1.574, 1.5866, 1.5608, 2.2954000000000003, 0.8426, -0.0023, -0.0023, 0.003, 0.003, -0.0021000000000000003, ... | 0.5 * (Z(4) @ Z(9)) + 0.023809523809523808 * (Z(11) @ Z(4)) + 0.03333333333333333 * (Z(2) @ Z(9)) + 0.023809523809523808 * (Z(2) @ Z(4)) + 0.19047619047619047 * (Z(2) @ Z(11)) + 0.03333333333333333 * (Z(7) @ Z(9)) + 0.19047619047619047 * (Z(7) @ Z(11)) + 0.19999999999999998 * (Z(7) @ Z(2)) + 0.05714285714285714 * (Z(0)... | 13 | 12 | 1 | {"smallest_eigenvalues": [-1.6142857142857143, -1.6142857142857143], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.6142857142857139, "smallest_bitstrings": ["000101000101", "000001000111"], "largest_eigenvalue": 5.499999999999997} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.4263101146498298) q[0];
rz(-0.7498469176376463) q[0];
ry(1.2434592141313534) q[1];
ry(1.6187706413130813) q[2];
ry(1.5374898395586012) q[3];
ry(1.5839529349900348) q[4];
ry(2.4901256210625147) q[5];
ry(1.5389383491086184) q[6];
ry(1.6187019684823718) q[7];
ry(2.19... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIZIIII",
"ZIIIIIIZIIII",
"IIZIIIIIIZII",
"IIIIIIIZIZII",
"ZIIIIIIIIZII",
"IIZIZIIIIIII",
"ZIIIZIIIIIII",
"IIIIZIIIIZII",
"IIIIIIIZIIIZ",
"ZIIIIIIIIIIZ",
"IIIIIIIIIZIZ",
"IIIIZIIIIIIZ",
"IIIIIZIZIIII",
"ZIIIIZIIIIII",
"IIIIIZIIIZII",
"IIIIIZIIIIIZ",
"IZIIIIIZIIII",
"ZZIIIIIII... | [
0.5,
0.023809523809523808,
0.03333333333333333,
0.023809523809523808,
0.19047619047619047,
0.03333333333333333,
0.19047619047619047,
0.19999999999999998,
0.05714285714285714,
0.047619047619047616,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.0... | 0.976065 | [
1.4263101146498298,
1.2434592141313534,
1.6187706413130813,
1.5374898395586012,
1.5839529349900348,
2.4901256210625147,
1.5389383491086184,
1.6187019684823718,
2.1989352394452086,
0.020835305689159835,
0.05910805772082284,
0.0834822957322427,
-1.4996938352752927,
1.4979805511235087,
1.26... | {
"n_parameters": 44,
"n_qubits": 12,
"optimal_eigenvalue": -1.6142857142857143,
"target_ratio": 0.97,
"target_value": -1.5658571428571428
} | 1 |
e7f52f1e4ef4212454d9db0ad93f1bd0 | 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": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 3, "s... | {"states": [256, 255], "expectation_value": -0.40091528033235413, "params": [[-0.0422, -0.0478], [0.0509, 0.053200000000000004]], "bitstrings": ["011111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.002682353014193753, 0.0027313916857467356], "optimization_time": 7.904419660568237} | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + -0.75 * (Z(4) @ Z(5)) + -0.75 * (Z(7) @ Z(6)) + -0.75 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(8)) + -0.75 * (Z(7) @ Z(4)) + -0.25 * Z(3) + -0.25 * Z(0) + 1.0 * Z(1) + 0.25 * Z(5) + -1.5 ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["100000000", "101000100", "100000100"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.03957831505921227) q[0];
ry(0.006130189286134036) q[1];
ry(-0.017929317053648544) q[2];
ry(0.12712730696602598) q[3];
ry(-0.017929317053648544) q[4];
ry(-0.06909810885548867) q[5];
ry(0.16499459908876507) q[6];
ry(0.1104908148870137) q[7];
ry(2.761911007049986) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIZIIIZI",
"IIZIIIZII",
"ZIIIIZIII",
"ZIIIIIIIZ",
"IIIZZIIII",
"IZZIIIIII",
"IZIIIIZII",
"ZZIIIIIII",
"IZIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIZIIIII",
"IIZIIIIII",
"IIIIIIZII",
"ZIIIIIIII",
"IIIIZIIII",
"IZIIIIIII"
] | [
-0.25,
-0.5,
-1,
-0.75,
-0.5,
0.5,
-0.75,
-0.75,
-0.75,
-0.5,
-0.75,
-0.25,
-0.25,
1,
0.25,
-1.5,
0,
-0.5,
0,
1.25
] | 0.973957 | [
-0.03957831505921227,
0.006130189286134036,
-0.017929317053648544,
0.12712730696602598,
-0.06909810885548867,
0.16499459908876507,
0.1104908148870137,
2.761911007049986,
-0.24906193861339584,
0.10025750594834357,
-0.040340474615634385,
-0.006986122981867142,
0.030676898583188086,
-0.633446... | {
"n_parameters": 23,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 45 |
f848d40cbfa43815a8aa73d15a4c0574 | 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": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 3}, {"source": 3, "target": 6}, {"source": 3, "target": 4}]} | {"states": [90, 87], "expectation_value": -4.240627747574098, "params": null, "bitstrings": ["0100101", "0101000"], "total_optimization_steps": 36, "probabilities": [0.08262566223526219, 0.8263846024559105], "optimization_time": 34.27997970581055} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(5) + -1.0 * Z(3) + 0.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0101000"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.522122814442769) q[0];
h q[1];
ry(-1.554533748668052) q[1];
ry(-3.049141161380527) q[2];
rz(-pi) q[2];
cx q[0], q[2];
ry(0.04377797985713864) q[2];
cx q[0], q[2];
ry(-0.046724568819678486) q[0];
cx q[2], q[0];
ry(0.046724568819678486) q[0];
cx q[2], q[0];
h... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IZIIIZI",
"IIIZIZI",
"ZIIZIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIIZIII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
0,
0,
-1,
0,
0
] | 0.973378 | [
-1.554533748668052,
-0.864962968929314,
1.522122814442769,
1.1323824480941402,
-0.6313506460324426,
1.5398346705677213,
0.27570323119812223,
-0.3075256053707013,
0.25356253493994757,
-0.25646521288722784,
-0.08755595971427728,
-0.09344913763935697,
0.11012478834184519,
-0.1749207751871755,... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 6 |
0541faf635a6399f550a5b5935bfa17a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [24, 6], "expectation_value": -1.5386369099890516, "params": [[-0.054200000000000005, -0.0489, -0.0673, -0.07540000000000001], [0.0651, 0.056400000000000006, 0.0663, 0.07250000000000001]], "bitstrings": ["100111", "111001"], "total_optimization_steps": 10, "probabilities": [0.03245534282942554, 0.03245534282... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(2) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["010111", "111010", "111001", "100111", "011110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2586347423333518) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.2586347423333518) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2586347423333518) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(0.2586347423333518) q[2];
cx q[3], q[2];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"ZIIIZI",
"ZZIIII",
"IIZZII",
"IZIZII",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1.5,
-1,
-1
] | 0.849143 | [
0.2586347423333518,
-0.9522193741903392,
-0.4483492681819256,
-1.0023321824572908,
0.8794944450881496,
-1.7734914868935794,
-1.1441282434786142,
-0.46313879118016416
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 241 |
16f78d4600a63f9e28571cad22ffe3ee | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 3, "target": 7}, {"source": 4, "ta... | {"states": [124, 60], "expectation_value": -2.8710030052814832, "params": [0.028200000000000003, 0.1908, 0.2908, 0.09860000000000001, 0.4055, -0.0041, 0.40230000000000005, 0.0006000000000000001, 0.4067, -0.0021000000000000003, 0.405, -0.012, 0.1971, -0.1126, 0.049, 0.1812, 0.0327, 0.19160000000000002, 0.2962, 0.1054000... | 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(1) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(5) + -1.0 * Z(6) + -0.5 * Z(3) + 0.0 * Z(1) + -1.0 * Z(7) + -0.5 * Z(4) | 4 | 8 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["11000011", "10010011", "10011100"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.06533991207500221) q[0];
rz(1.7673554067439534) q[0];
rx(0.22394717722886268) q[1];
rz(1.5834346747889922) q[1];
rx(0.5914177553622147) q[2];
rz(1.2988874808531223) q[2];
rx(0.7383563693045873) q[3];
rz(1.421982816396154) q[3];
rx(0.6418769613290847) q[4];
rz(1.784... | OPENQASM 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": []} | [
"IIIIIZIZ",
"IIZIIIIZ",
"IZIIIIIZ",
"IZZIIIII",
"IIIIZIZI",
"ZIZIIIII",
"ZIIIZIII",
"IZIZIIII",
"ZIIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"IIIIZIII",
"IIIIIIZI",
"ZIIIIIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1,
-1,
-1,
-0.5,
0,
-1,
-0.5
] | 0.979432 | [
0.0653399120750022,
0.196559079949057,
0.2239471772288627,
0.012638347994095411,
0.5914177553622149,
-0.27190884594177434,
0.7383563693045871,
-0.14881351039874235,
0.6418769613290847,
0.21384660442009046,
0.8641840268522056,
0.23059727903605726,
0.11989875580688164,
-0.19251224406203676,
... | {
"n_parameters": 90,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 22 |
3120627113268370325 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 6, 7], [2, 3], [1, 5, 7], [4, 5, 6], [1, 3, 7], [0, 1, 7], [0, 6, 7], [0, 4], [2, 6], [1, 4, 6], [0, 3, 5], [3, 4], [3, 6], [1, 2, 7]]} | {"states": [210, 214], "expectation_value": -0.921894252553903, "params": [[-0.19010000000000002], [0.1832]], "bitstrings": ["00101101", "00101001"], "total_optimization_steps": 20, "probabilities": [0.007653807383240167, 0.007703151841933315], "optimization_time": 1.2549152374267578} | 0.5 * (Z(4) @ Z(6)) + 0.3333333333333333 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.16666666666666666 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.500000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.1666666666666674, "smallest_bitstrings": ["00101001"], "largest_eigenvalue": 11.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] 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[4];
rz(-0.5289152742256708) q[4];
cx q[6], q[4];
h q[7];
cx q[6], q[7];
rz(-0.011307589862756215) q[7];
cx q[6], q[7];
cx q[4], q[7];
cx q[6], q[2];
rz(-0.5289152742256708) q[2];
cx q[6], q[2];
cx q[6], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[6], q[4];
rz(x0) q[4];
cx q[6], q[4];
cx q[6], q[7]... | null | {"circuits": [], "gradients": []} | [
"IZIZIIII",
"ZZIIIIII",
"ZIIZIIII",
"IZIIIZII",
"ZIIIIZII",
"IZIIZIII",
"IIIZZIII",
"ZIIIZIII",
"IIIIZZII",
"IZIIIIZI",
"IIIZIIZI",
"ZIIIIIZI",
"IIIIIZZI",
"IIIIZIZI",
"IZZIIIII",
"IIZZIIII",
"ZIZIIIII",
"IIZIZIII",
"IIZIIIZI",
"IZIIIIIZ",
"IIIZIIIZ",
"ZIIIIIIZ",
"IIIIZII... | [
0.5,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.6666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666... | 0.564292 | [
-0.5289152742256708,
-0.011307589862756215,
-0.0149064094747066,
-1.1930754591654757,
-0.5397411684121266,
0.035938689649900345,
0.7824093949980278
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -3.500000000000001,
"target_ratio": 0.97,
"target_value": -3.395000000000001
} | 201 |
1851675220288832220 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 3], [1, 2, 4, 5, 6], [1, 3, 4, 5, 6], [0, 3, 5], [0, 1, 3, 4, 6]]} | {"states": [43, 46], "expectation_value": -0.04221912550535233, "params": [[-0.0819], [0.0795]], "bitstrings": ["1010100", "1010001"], "total_optimization_steps": 10, "probabilities": [0.00826340151597432, 0.00826340151597432], "optimization_time": 2.539106845855713} | 0.5 * (Z(2) @ Z(3)) + 0.1 * (Z(1) @ Z(3)) + 0.05 * (Z(1) @ Z(2)) + 0.1 * (Z(4) @ Z(3)) + 0.05 * (Z(4) @ Z(2)) + 0.15000000000000002 * (Z(4) @ Z(1)) + 0.21666666666666667 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(2)) + 0.1 * (Z(5) @ Z(1)) + 0.1 * (Z(5) @ Z(4)) + 0.1 * (Z(6) @ Z(3)) + 0.05 * (Z(6) @ Z(2)) + 0.15000000000000002 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.4333333333333333, -1.4333333333333333, -1.4333333333333333, -1.4333333333333333], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.4333333333333331, "smallest_bitstrings": ["1110000", "0001001", "1010001", "1010100"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-1.5392611345250442) q[2];
cx q[3], q[2];
cx q[3], q[1];
rz(-0.1528280596323735) q[1];
cx q[3], q[1];
cx q[2], q[1];
rz(0.12948846494647165) q[1];
cx q[2], q[1];
h q[4];
cx q[3], q[4];
rz(-0.1528280596323735) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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": []} | [
"IIIZZII",
"IIIZIZI",
"IIIIZZI",
"IIZZIII",
"IIZIZII",
"IIZIIZI",
"IZIZIII",
"IZIIZII",
"IZIIIZI",
"IZZIIII",
"ZIIZIII",
"ZIIIZII",
"ZIIIIZI",
"ZIZIIII",
"ZZIIIII",
"IIIZIIZ",
"IIIIIZZ",
"IIZIIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIIZIII",
"IIIIZII",
"IIIIIZI",
"IIZIIII",
"IZI... | [
0.5,
0.1,
0.05,
0.1,
0.05,
0.15000000000000002,
0.21666666666666667,
0.05,
0.1,
0.1,
0.1,
0.05,
0.15000000000000002,
0.15000000000000002,
0.1,
0.21666666666666667,
0.05,
0.05,
0.16666666666666666,
0.05,
0.3666666666666668,
0.1000000000000002,
0.30000000000000004,
0.3000... | 0.776525 | [
-1.5392611345250442,
-0.1528280596323735,
0.12948846494647165,
-0.19541955951226095,
-0.1488436820529029,
-0.6980366093512173,
0.062105583132526336,
-1.1011862966757382,
-1.0742966573145059,
0.8841721229057187
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -1.4333333333333333,
"target_ratio": 0.97,
"target_value": -1.3903333333333332
} | 231 |
2566007007992469752 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[5, 7], [8, 2], [0, 5], [1, 7], [0, 4], [5, 6], [0, 6], [8, 3], [3, 6], [2, 3], [2, 7], [6, 7], [0, 8, 7]]} | {"states": [302, 290], "expectation_value": -3.812218997782757, "params": null, "bitstrings": ["011010001", "011011101"], "total_optimization_steps": 64, "probabilities": [0.04676652490517043, 0.8498488707575219], "optimization_time": 117.76463294029236} | 0.5 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(8)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(8)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.333333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.9999999999999996, "smallest_bitstrings": ["011011101"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(1.4269913733304738) q[0];
h q[1];
ry(-0.7353620194943253) q[1];
h q[2];
ry(-0.7353620194943253) q[2];
h q[3];
ry(0.7880568661748256) q[3];
h q[4];
ry(-0.8505123679018476) q[4];
cx q[0], q[4];
ry(0.8505123679018476) q[4];
cx q[0], q[4];
ry(0.0493136510786822) ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[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];\n... | [
"IZIZIIIII",
"ZZIIIIIII",
"IZIIIIZII",
"ZIIIIIZII",
"IZIIIIIIZ",
"IIIZIIIIZ",
"ZIIIIIIIZ",
"IZIIIIIZI",
"IIIIZIIIZ",
"IZZIIIIII",
"IIZZIIIII",
"IIZIIIIIZ",
"ZIIIIZIII",
"IIIIIZZII",
"IIZIIZIII",
"IZIIIIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"... | [
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.16666666666666652,
0,
0.16666666666666652,
0,
0.16666666666666652,
0,
0,
0,
0
] | 0.974782 | [
-0.5411716431027002,
1.4269913733304738,
-1.7010247358036952,
-0.48078108226266575,
1.6790547763263255,
-1.4707240389886507,
1.5761137323496512,
-0.5057108681516027,
-1.1445660267032984,
0.03030845649172488,
0.10706719811508522,
-0.9253772499634568,
-0.3180676347183176,
-0.4137308536616608... | {
"n_parameters": 55,
"n_qubits": 9,
"optimal_eigenvalue": -4.333333333333332,
"target_ratio": 0.97,
"target_value": -4.203333333333332
} | 7 |
5a8eac0760a558d4174437be478ec0aa | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [4, 8], "expectation_value": -2.037986472313717, "params": [0.40030000000000004, 0.17850000000000002, 0.39830000000000004, 0.1267, 0.0025, 0.21730000000000002, 0.0021000000000000003, 0.29810000000000003, 0.39930000000000004, 0.201, 0.40130000000000005, 0.1419, 0.0043, 0.27030000000000004, 0.00170000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * Z(0) + -0.5 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) | 18 | 4 | 4 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["1011", "0111"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.82536574049687) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.24273634073259914) q[1];
h q[2];
h q[3];
ry(-0.24273634073259914) q[3];
cx q[2], q[3];
ry(0.24273634073259914) q[3];
cx q[2], q[3];
ry(1.300380278656536) q[2];
ry(-0.845563361950822) q[3];
h q[4];
cx q[4], q[1];
ry... | OPENQASM 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": []} | [
"IIZZ",
"IZIZ",
"ZIZI",
"IIIZ",
"IIZI",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1,
-1
] | 0.972605 | [
-1.0824548785035621,
-0.4854726814651983,
1.0253922282774464,
-0.6950111735231073,
0.549976100758179,
0.49856702161642463,
-0.5677464941140427,
-0.3011043768554298,
0.6740485844110712,
1.8584456786071313,
-0.3550392547384828,
-0.049666130392177224,
0.1283809090165161,
0.14940958954842865,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
6c729dfd5e7001e3a38620bc1dd3c2de | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, ... | {"states": [45, 39], "expectation_value": -0.8387862281704168, "params": [[0.066, 0.0603, 0.06860000000000001], [-0.0599, -0.057100000000000005, -0.059500000000000004]], "bitstrings": ["1010010", "1011000"], "total_optimization_steps": 10, "probabilities": [0.013508058386545539, 0.013835847420693822], "optimization_tim... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(3) + -1.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(6) + -1.5 * Z(2) + 0.0 * Z(1) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1011000", "1010010"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.10758269301838308) q[0];
cx q[3], q[0];
h q[4];
cx q[0], q[4];
rz(0.10758269301838308) q[4];
cx q[0], q[4];
cx q[4], q[2];
rz(0.10758269301838308) q[2];
cx q[4], q[2];
rz(1.0158526286770417) q[4];
rx(-0.660651681254974... | OPENQASM 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": []} | [
"IIIZIIZ",
"IIZIIIZ",
"IZIZIII",
"IZIIIIZ",
"ZIIIIIZ",
"IIZIZII",
"IZIIZII",
"ZIIIZII",
"IIIIZZI",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-0.5,
-1,
-0.5,
-1.5,
0
] | 0.977959 | [
0.10758269301838308,
1.0158526286770422,
-1.0830236518770011,
-0.7797930592220781,
0.7529332076282363,
-0.6606516812549744,
-0.1660913770954591,
0.09088404394185104,
-0.5392296610982585,
-0.7289087446503865,
-0.6129435813348304,
0.3486533609480895,
0.5287619526337042,
0.17317995659263544,
... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 39 |
8777ff3c42e14a86c796b9915ca51225 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 9, "source": 0, "t... | {"states": [110, 109], "expectation_value": -17.071778715417498, "params": [[0.024800000000000003, 0.014400000000000001], [-0.0507, -0.0589]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.009428645207496231, 0.009698218929799045], "optimization_time": 3.101489782333374} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 14.5 * Z(1) + 9.0 * Z(0) + 13.5 * ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 155.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.009357746067172136) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.009357746067172136) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.009357746067172136) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.009357746067172136) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIIZ",
"IIZZIIII",
"IIZIZIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
14.5,
9,
13.5,
15,
19,
-4,
14,
15.5
] | 0.973684 | [
-0.009357746067172136,
1.7343347017547897,
-2.22652197119133,
1.804039392927466,
1.4769531703997372,
1.6204196337017196,
-1.4304080186998116,
-1.5779268163954558,
1.9033652718512877,
-1.6191665728037676,
-0.25586609766135865,
-1.0317941735983325,
0.4007973848651246,
0.40980204608380066,
... | {
"n_parameters": 19,
"n_qubits": 8,
"optimal_eigenvalue": -72,
"target_ratio": 0.97,
"target_value": -69.84
} | 66 |
-3517122334671635697 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 6], [1, 3], [3, 6], [0, 8], [8, 5], [1, 7], [1, 4], [6, 7], [1, 2], [3, 7], [8, 7]]} | {"states": [131, 161], "expectation_value": -1.0795394108611729, "params": [0.7922, 0.2401, 0.38580000000000003, 0.0009000000000000001, 0.8034, -0.1269, 0.8053, 0.0024000000000000002, 0.7957000000000001, 0.1487, 0.5204, 0.0008, 0.798, -0.1321, 0.7986000000000001, 0.0089, 0.8058000000000001, 0.1341, 0.5564, 0.0009000000... | 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(6) + 0.0 * Z(8) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(5) + ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.5, "smallest_bitstrings": ["101011110", "001110001", "110001100", "110001110", "001110011", "101111010", "010100001", "010000101"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.3746844875815204) q[0];
rz(1.3110369261039168) q[0];
rx(3.1380957960035345) q[1];
rz(2.1819797312777176) q[1];
rx(0.2528156822506559) q[2];
rz(1.830683892654867) q[2];
rx(0.48191703823807935) q[3];
rz(1.2536868592960735) q[3];
rx(-0.17096366683247538) q[4];
rz(0.31... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIZIIIIII",
"IIZIIZIII",
"IIIIIZIZI",
"ZIIIIIIIZ",
"ZIIZIIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IZIIIZIII",
"IZIIIIIZI",
"IIIIZIIZI",
"IIIIIIZZI",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIZIIIII",
"IZIIIIIII",
"IIIIZIIII",
"IIIIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.971026 | [
0.3746844875815204,
-0.2597594006909799,
3.1380957960035345,
0.6111834044828207,
0.252815682250656,
0.2598875658599703,
0.48191703823807946,
-0.3171094674988232,
-0.17096366683247538,
-1.2560456930557635,
0.0757737349815106,
0.5945983271914261,
0.7394849312335493,
-0.052940227169971654,
... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 107 |
78844529c6df507de8bf1421c664cefc | 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": 4}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 1, "target": 2}, {"sour... | {"states": [332, 334], "expectation_value": -4.935365460620192, "params": [0.6966, 0.7008, 0.0038, -0.0013000000000000002, 0.7009000000000001, 0.7030000000000001, -0.0028, -0.0013000000000000002, -0.0177, -0.0142, 0.7045, 0.7010000000000001, 0.7069000000000001, 0.7069000000000001, 0.4133, 0.41500000000000004, -0.0122, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + -1.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(6) + -1.0 * Z(7) + -0.5 * Z(2) + -0.5 * Z(3) + 0.... | 13 | 9 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["010110001"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.6386636090520038) q[0];
rz(-0.2235289695689671) q[0];
ry(0.07130811652666807) q[1];
ry(0.7050241661928872) q[2];
ry(0.04566277398094289) q[3];
ry(0.020065639468863597) q[4];
ry(0.7425314023069224) q[5];
ry(0.7623010117603544) q[6];
ry(0.6031109591442659) q[7];
ry(-... | OPENQASM 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": []} | [
"IIIIIIIZZ",
"IIIIZIIIZ",
"IIZIIIIZI",
"IZIIIIIZI",
"IZIIZIIII",
"IIIIIIZZI",
"IIIIIZZII",
"IIIZIZIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"ZIIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
0,
-0.5
] | 0.980015 | [
0.6386636090520038,
0.07130811652666807,
0.7050241661928872,
0.04566277398094289,
0.020065639468863597,
0.7425314023069224,
0.7623010117603544,
0.6031109591442659,
-0.03597697981325806,
-0.4470579391379342,
0.1713379467537121,
0.015375566123199166,
-0.09701887781528525,
-0.6689213599610284... | {
"n_parameters": 67,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 6 |
11576eab70c2ec583415b5e8bd58f9e2 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 5}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "... | {"states": [1642, 1386], "expectation_value": -0.09859284217642703, "params": [0.8429000000000001, -0.12990000000000002, 0.7298, 0.0077, 0.8806, -0.1242, 0.8593000000000001, 0.0067, 0.8909, -0.17980000000000002, 0.8763000000000001, 0.0086, 0.896, -0.1797, 0.8761, 0.0006000000000000001, 0.7152000000000001, 0.1471, 0.692... | 0.25 * (Z(0) @ Z(1)) + -0.0006377551020408162 * (Z(2) @ Z(0)) + -0.0006377551020408162 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.001020408163265306 * (Z(4) @ Z(0)) + -0.001020408163265306 * (Z(4) @ Z(2)) + -0.001020408163265306 * (Z(5) @ Z(1)) + -0.001020408163265306 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0007653... | 5 | 12 | 1 | {"smallest_eigenvalues": [-1.5147959183673465, -1.5147959183673465], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5142857142857147, "smallest_bitstrings": ["010101101010", "101010010101"], "largest_eigenvalue": 1.5158163265306124} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3716796306065885) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.3716796306065885) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.3716796306065885) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.3716796306065885) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.0006377551020408162,
-0.0006377551020408162,
0.25,
-0.001020408163265306,
-0.001020408163265306,
-0.001020408163265306,
-0.001020408163265306,
0.25,
0.0007653061224489796,
0.0007653061224489796,
0.000510204081632653,
0.0007653061224489796,
0.0007653061224489796,
0.00051020408163... | 0.698312 | [
-0.3716796306065885,
0.8727381071204077,
0.7179543098390148,
-0.19857375753212136,
0.8889599314407369,
-1.5807265779890087,
2.4860629174438844,
1.2068334987105587,
0.4724410059780224
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 259 |
fd959b015d7c5b50b2cd05831ed95a60 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [61, 87], "expectation_value": -0.1568140372135076, "params": [[-0.019100000000000002, -0.0523, -0.0775], [-0.0388, 0.0458, 0.0697]], "bitstrings": ["11000010", "10101000"], "total_optimization_steps": 10, "probabilities": [0.005364374868351299, 0.005364374868351302], "optimization_time": 8.860899209976196} | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(1) @ Z(5)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(2) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(2) @ Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-3.375, -3.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.375, "smallest_bitstrings": ["11000010", "10101000"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.2814273479283241) q[0];
cx q[5], q[0];
rz(0.988627421386453) q[0];
rx(-1.6100914394477277) q[0];
cx q[5], q[1];
rz(-0.2814273479283241) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(-0.2814273479283241) q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIZZZI",
"IIIZIIZI",
"IIZIIIZI",
"IIZZIIII",
"IIZZIIZI",
"IZIIIZII",
"ZIIIIZII",
"ZZIIIIII",
"ZZIIIZII",
"IZIZIIII",
"IIIIZIIZ",
"IIZIIIIZ",
"ZIIIIIIZ",
"IIZIZIII",
"ZIIIZIII",
"ZIZIIIII",
"IIZIZIIZ",
"ZIIIZIIZ",
"ZIZIIIIZ",
"ZIZIZII... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.625,
0,
0,
0.125,
-0.25,
0.125,
-0.25,
0.125
] | 0.793132 | [
-0.2814273479283241,
-2.083999084261337,
0.9886274213864532,
-0.2943566891904666,
-0.17545221926890683,
-1.6100914394477277,
0.44025124807503524,
1.5189639182857877,
-0.6158615151039641,
-0.2722032415841509,
-0.7056736669533165
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 249 |
3c0665940b168eebba233cb5a1d3af60 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capac... | {"states": [129, 1], "expectation_value": -0.5744123025112919, "params": [[-0.0695], [0.0678]], "bitstrings": ["1101111110", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.0014478200621523632, 0.0015762897837163215], "optimization_time": 3.7767622470855713} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(8) @ Z(0)) + -0.5 * (Z(8)... | 1 | 10 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.31453006187333216) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.4390477996177715) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.4449413417970675) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.31453006187333216) q[3];
cx q[0], q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[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 ... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIIZII",
"IIIIZIZIII",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZIIZIII",
"IIIZZIIIII",
"IZIIIIIIIZ",
"IZIIIIIZII",
"IZIIIIZIII",
"IZIIZIIIII",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"IIZIIIIIZI",
"IIZIIIZIII"... | [
-0.25,
-0.5,
-1,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-0.75,
-0.5,
2.25,
-0.25,
-0.25,
-1,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-1,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.75,
1.5,
-0.5,
-0.5,
1.75,
-1.25,
0.75
] | 0.468186 | [
0.31453006187333216,
0.4390477996177715,
0.4449413417970675,
0.4964713286533322,
-0.243292889150701,
-0.36187186498081264,
-1.5302643724066771,
0.9798077581779856,
-0.30204593626072207,
1.1257244781836306
] | {
"n_parameters": 10,
"n_qubits": 10,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 248 |
98bd7c551ebbc2ec71220aad1de55f6a | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "... | {"states": [4095, 4094], "expectation_value": -24.007226443852904, "params": [[[-0.0648, 3.1626000000000003], [0.002, -0.0018000000000000002], [0.0018000000000000002, 0.002], [0.0032, 0.0022], [-0.0018000000000000002, -0.0023], [0.0023, 0.0021000000000000003], [0.0022, 0.0021000000000000003], [0.0023, 0.002100000000000... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -3.0 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(6) @ Z(7)) + -2.5 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(6)) + -2.... | 15 | 12 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.5, "smallest_bitstrings": ["000000000001"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.058925090036866384) q[0];
ry(0.09539229878254692) q[1];
ry(0.001990956433481325) q[2];
ry(-0.1499008017821428) q[3];
ry(0.047702344159995864) q[4];
ry(0.0014762940794333726) q[5];
ry(0.055581128899466495) q[6];
ry(0.0014762940794333726) q[7];
ry(0.001990956433481... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"node": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIIIIIZIZIII",
"IIIIIIIIIZZI",
"IIIIIIZIIZII",
"IIIIIIIZIIZI",
"IIIIIIZZIIII",
"IIIIIIIZIZII",
"IIIIZZIIIIII",
"IIZIZIIIIIII",
"IIZIIZIIIIII",
"IZIIZIIIIIII",
"IZIIIZIIIIII",
"IZZIIIIIIIII",
"IIIZZIIII... | [
-2,
-2,
-1.5,
-3,
0.5,
0.5,
0.5,
-2,
0.5,
-2,
0.5,
-2,
-2.5,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970575 | [
-0.058925090036866384,
0.09539229878254692,
0.001990956433481325,
-0.1499008017821428,
0.047702344159995864,
0.0014762940794333726,
0.055581128899466495,
0.12396287529473056,
1.6966012738936842,
0.10185435215739491,
3.1981602158369995,
0.03291904897408098,
0.007391839009110243,
0.092717225... | {
"n_parameters": 14,
"n_qubits": 12,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 6 |
aaa0b19e64bf3c35281517d1fd2e9593 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}]} | {"states": [39, 23], "expectation_value": -3.499144858283829, "params": null, "bitstrings": ["011000", "101000"], "total_optimization_steps": 28, "probabilities": [0.06552908063150316, 0.9338662614330172], "optimization_time": 18.02014660835266} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.5 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["011000", "101000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3082490255491387) q[0];
cx q[1], q[0];
rz(-0.4813792428916286) q[0];
rx(-0.0708269652138156) q[0];
h q[2];
cx q[1], q[2];
rz(0.3082490255491387) q[2];
cx q[1], q[2];
rz(0.38370389231516544) q[1];
rx(-0.07082696521381568) q[1];
cx q[1]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZZI",
"IIZZII",
"ZIIZII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1.5,
0,
0,
0
] | 0.977854 | [
0.3082490255491387,
0.3837038923151648,
-0.48137924289163025,
0.26332802912302594,
-0.07082696521381564,
-0.3050505286502088,
0.5806483285648956,
0.6562418208675107,
0.7543675324261974,
-0.03625229813212085,
0.44867521434950836,
0.9051415988683418,
0.9758359490263386
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 18 |
b9d77147a8075a3ab2c92d83b9a01aff | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "so... | {"states": [0, 13], "expectation_value": -2.4165127852979262, "params": [-0.0517, -0.2456, 0.26080000000000003, -0.49520000000000003, 0.3154, 0.9681000000000001, -0.2772, 0.6729, 0.26980000000000004, 0.7571, 0.111, 0.6749, 0.0407, 0.5304, 0.0269, 0.5693, -0.2646, 0.25720000000000004, -0.31920000000000004, 0.2604, 0.223... | -0.25 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + -0.5 * Z(4) + 1.0 * Z(1) + 0.25 * Z(2) | 6 | 5 | 4 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["10000", "10010"], "largest_eigenvalue": 4.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.3021285901869553) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.043858714499417424) q[1];
cx q[3], q[1];
rz(0.15148676426630026) q[3];
rx(1.6420934673725691) q[3];
h q[4];
cx q[0], q[4];
rz(-0.6058695825523499) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IZIIZ",
"ZIIIZ",
"IZIZI",
"ZIIZI",
"ZIZII",
"IIZZI",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
-0.25,
0.5,
-0.75,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
1,
0.25
] | 0.970354 | [
-0.3021285901869553,
-0.6058695825523499,
-0.043858714499417424,
0.1514867642663002,
-1.1554450260119575,
-1.1686368417294875,
1.6420934673725691,
-0.5967042178992558,
-0.4649764029594956,
-0.7324181695780487,
0.37535760010990565,
-0.9130635513536562,
-0.23404186224473988,
0.11806590585545... | {
"n_parameters": 26,
"n_qubits": 5,
"optimal_eigenvalue": -2.75,
"target_ratio": 0.97,
"target_value": -2.6675
} | 256 |
69fbdf1b00f871d97452b2184903c26f | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [235, 234], "expectation_value": -78.8872154936507, "params": [0.5213, -0.4612, 1.5, -0.0067, 1.5005000000000002, -0.0012000000000000001, 1.5013, 0.3551, 0.39080000000000004, 0.7120000000000001, 1.4935, 0.26730000000000004, 0.2768, 0.6705, 1.494, 0.24350000000000002, 0.8251000000000001, 0.4868, 0.5222, 0.0, ... | 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(0)) + 5.5 * (Z(3) @ Z(5)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(5)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(7) @ Z(8)) + 7.0 * Z(0) +... | 18 | 9 | 2 | {"smallest_eigenvalues": [-92.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.0, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 181.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.10535752855331483) q[0];
rz(-0.6542309702504916) q[0];
rx(1.3007832708671159) q[1];
rz(0.061455789240174745) q[1];
rx(1.6631739907723349) q[2];
rz(-0.0617117467718731) q[2];
rx(1.7299853202913409) q[3];
rz(0.3522021685341984) q[3];
rx(0.04020638899022457) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIZIIZII",
"IIIIIZIIZ",
"IIIZIZIII",
"IIIZZIIII",
"IIIIZZIII",
"IIZIIIIZI",
"ZIIIIIZII",
"ZIIZIIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIIZIII",
"IIIIZIIII",
"IIZIIIIII",
"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
7,
21,
17.5,
18,
11.5,
3,
2,
10.5,
13.5
] | 0.971119 | [
-0.10535752855331483,
-0.3834622033757744,
1.3007832708671159,
0.061455789240174745,
1.6631739907723349,
-0.0617117467718731,
1.7299853202913409,
0.3522021685341984,
0.04020638899022457,
0.8202493382178486,
1.333961309564811,
0.2596283765068199,
0.18333635827464373,
0.6025814175545616,
1... | {
"n_parameters": 51,
"n_qubits": 9,
"optimal_eigenvalue": -92,
"target_ratio": 0.97,
"target_value": -89.24
} | 11 |
4ded767c90d9410be35df06c5e86627d | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "ta... | {"states": [103, 127], "expectation_value": -10.523459883286797, "params": null, "bitstrings": ["0011000", "0000000"], "total_optimization_steps": 89, "probabilities": [0.06400071672928391, 0.5017970899629636], "optimization_time": 123.29686117172241} | -2.0 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + 1.0 * Z(0) + -1.5 * Z(2) + 1.0 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["0000000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(0.7317957397550816) q[0];
h q[1];
ry(0.6423205112367636) q[1];
h q[2];
h q[3];
ry(0.3916501642356271) q[3];
cx q[2], q[3];
ry(-0.3916501642356271) q[3];
cx q[2], q[3];
cx q[3], q[0];
ry(-0.7317957397550816) q[0];
cx q[3], q[0];
cx q[0], q[1];
ry(-0.6423205112... | null | {"node": 2} | {"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(1.5708) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZZIIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
-2,
1,
-2.5,
-2,
-2,
-2.5,
-1.5,
-1.5,
-1.5,
0.5,
1,
-1.5,
1,
0.5,
0.5,
0.5
] | 0.932369 | [
0.7833003284712542,
1.4635914795101632,
1.2846410224735272,
1.7719032136112738,
0.35167493733346644,
0.5194074103958128,
0.008236568149185526,
0.0568327105051797,
0.004084553333326019,
1.5200951747729559,
1.23922952406419,
-1.5687809621126374,
2.3588903721320023,
0.008623543562162628,
0.... | {
"n_parameters": 44,
"n_qubits": 7,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 500 |
d2601bbf36e7658df88520110518167a | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": []} | {"states": [61117, 59325], "expectation_value": -15.273555618327455, "params": null, "bitstrings": ["0001000101000010", "0001100001000010"], "total_optimization_steps": 100, "probabilities": [0.04222499524777576, 0.7004648347042955], "optimization_time": 660.4862294197083} | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) ... | 1 | 16 | 2 | {"smallest_eigenvalues": [-15.99999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.999999999999941, "smallest_bitstrings": ["0001100001000010"], "largest_eigenvalue": 56.00000000000015} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
ry(1.6170527242996016) q[0];
h q[1];
ry(0.7805138677541621) q[1];
h q[2];
h q[3];
ry(-0.4322759362401726) q[3];
h q[4];
h q[5];
ry(1.6170527242996016) q[5];
h q[6];
ry(0.7805138677541621) q[6];
cx q[0], q[6];
ry(-0.7805138677541621) q[6];
cx q[0], q[6];
cx q[0]... | null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 1}, {"id": 3}, {"id": 0}], "edges": []}} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\nry(1.5708) q[15];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[... | [
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZZIIIIII",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIZIZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0... | 0.970924 | [
1.6170527242996016,
1.5610277355083242,
-0.679222417946599,
1.0685797201107086,
-0.7139150329584052,
1.2551773451408712,
-0.8645518724803452,
1.1591405251708378,
-1.2079243771877828,
0.5130784379949134,
-0.5721670552309985,
0.3166512198214887,
-0.5898526595454422,
0.3774141208097306,
-0.... | {
"n_parameters": 46,
"n_qubits": 16,
"optimal_eigenvalue": -15.99999999999997,
"target_ratio": 0.97,
"target_value": -15.519999999999971
} | 6 |
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": [111, 239], "expectation_value": -16.149743374316216, "params": [0.0025, 0.0025, 0.0022, 0.0026000000000000003, 0.6306, 0.2424, -0.8134, -0.7512000000000001, 1.5832000000000002, 1.4427, 1.5817, 1.5625, 0.038900000000000004, 0.0039000000000000003, 1.4097000000000002, 1.3086, 1.5358, 1.5995000000000001, 1.5917... | 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)) + -... | 14 | 11 | 1 | {"smallest_eigenvalues": [-17.25, -17.25, -17.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -16.25, "smallest_bitstrings": ["11100010000", "11000000000", "11010010000"], "largest_eigenvalue": 55.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.000890822842480871) q[0];
rz(pi/2) q[0];
ry(-0.15670603725100302) q[1];
ry(-0.20648486180727027) q[2];
ry(0.45144887671116174) q[3];
ry(0.34931390918915306) q[4];
ry(0.14890652132398377) q[5];
ry(0.14818692661575433) q[6];
ry(0.44502625653055666) q[7];
ry(0.424953... | OPENQASM 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": []} | [
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IZIIZIIIIII",
"ZIIIZIIIIII",
"ZZIIIIIIIII",
"IIIIIZIIZII",
"IIIIIIZIZII",
"IIIIZIIIZII",
"IZIIIIIIZII",
"ZIIIIIIIZII",
"IIIIIZIZIII",
"IIIIIIZZIII",
"IIIIZIIZIII",
"IZIIIIIZIII",
"ZIIIIIIZIII",
"IIIIIIIZZII",
"IIIZIZIIIII",
"IIIZIIZII... | [
2,
1,
0.5,
0.5,
0.5,
1,
-1,
-0.5,
-1,
-0.5,
-0.5,
-1,
-0.5,
-1,
-0.5,
-0.5,
1,
1,
0.5,
0.5,
-0.5,
-0.5,
2,
1,
1,
-1,
-1,
1,
-0.25,
8,
4,
3,
1.5,
1.5,
-3,
-3,
2.5,
5,
-0.5,
-0.5
] | 0.971849 | [
0.000890822842480871,
-0.15670603725100302,
-0.20648486180727027,
0.45144887671116174,
0.34931390918915306,
0.14890652132398377,
0.14818692661575433,
0.44502625653055666,
0.4249533755281996,
0.25680042464988484,
0.4419502268595168,
0.1799489528204672,
-0.37170555535813404,
-0.0445425003681... | {
"n_parameters": 129,
"n_qubits": 11,
"optimal_eigenvalue": -17.25,
"target_ratio": 0.97,
"target_value": -16.732499999999998
} | 11 |
61fc58e7ea5c0b858181cef6a00713e4 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 6}, {"weight": 6, "source": 2, "target": 3}, {"weight": 13, "source": 2, "targ... | {"states": [249, 188], "expectation_value": -29.76401815418995, "params": null, "bitstrings": ["100000110", "101000011"], "total_optimization_steps": 100, "probabilities": [0.10854950291818022, 0.1832553262641075], "optimization_time": 184.97958993911743} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 9.0 * Z(1) +... | 1 | 9 | 4 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["101000011"], "largest_eigenvalue": 154.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.02185145395977517) q[0];
cx q[1], q[0];
rz(-0.5588018792017229) q[0];
rx(-0.27985469452490175) q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.02185145395977517) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(0.02185145395977517) q[4];
cx q... | null | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(0.1215) 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] = m... | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IIZIIIZII",
"IIZIZIIII",
"IIIZIZIII",
"IIIZIIZII",
"IIZZIIIII",
"IZIIIZIII",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
9,
-2.5,
15.5,
12,
18.5,
15,
17,
0.5,
6
] | 0.975691 | [
0.02185145395977517,
1.4317424449049956,
-0.5588018792017233,
1.5603082420547552,
0.19242374383339958,
1.3485735240723389,
1.011065840572277,
1.498856394896067,
-1.3092618702660563,
-0.32745955943144156,
-0.2798546945249017,
0.11900811374185843,
0.3243858040133379,
-0.6130932728853596,
0... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -86,
"target_ratio": 0.97,
"target_value": -83.42
} | 53 |
f4fa6366cbf118dea2709a08644ecba9 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [215, 87], "expectation_value": -57.87239797026286, "params": [0.0026000000000000003, 0.0094, 1.5232, 0.0086, 1.5274, 0.0034000000000000002, 2.4021, 0.0082, 0.0016, 0.008, 2.3936, 0.0082, 1.2955, 0.0005, 2.404, 0.005, 2.4007, 0.0015, 2.4039, 0.0057, 0.0098, 0.0098, 0.0099, 0.0012000000000000001, 0.0094, 0.00... | 7.0 * (Z(1) @ Z(3)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(7) @ Z(3)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(5) @ Z(2)) + 7.0 * (Z(5) @ Z(7)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(4) @ Z(8)) + 7.0 * (Z(9) @ Z(2)) + 7.0 * (Z(9) @ Z(5)) + 13.0 * Z(3) + 5.0 * Z(1) + 7.5 * Z(2) + 22.5 * Z(7) + 21.5 * Z(5) + 3.5 * Z(6)... | 18 | 10 | 1 | {"smallest_eigenvalues": [-98.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.0, "smallest_bitstrings": ["1110101000"], "largest_eigenvalue": 171.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.047560958044251804) q[0];
rz(-1.3677555934394996) q[0];
rx(0.09897372570834484) q[1];
rz(-0.7798829058325625) q[1];
rx(-0.1340804712585606) q[2];
rz(-0.14629432930885655) q[2];
rx(3.0021311138019526) q[3];
rz(-0.11227352586172362) q[3];
rx(-0.18177788948470067) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZI",
"IIIIIIZZII",
"IIZIIIZIII",
"IIZIIIIIZI",
"IIIIZIIZII",
"IIZIZIIIII",
"IIZZIIIIII",
"IIIZZIIIII",
"IZIIIZIIII",
"ZIIIIIIZII",
"ZIIIZIIIII",
"IIIIIIZIII",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIZIIIIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IZIIIIIIII",
"IIIIIZIIII",
"ZIIIIIIIII"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
13,
5,
7.5,
22.5,
21.5,
3.5,
0.5,
-3.5,
8.5,
-9.5
] | 0.971624 | [
0.047560958044251804,
-1.3010444543980553,
0.09897372570834484,
-0.7798829058325625,
-0.1340804712585606,
-0.14629432930885655,
3.0021311138019526,
-0.11227352586172362,
-0.18177788948470067,
1.337340197002032,
3.258298964448982,
0.06785372475208166,
0.8656228311637946,
3.0506764937544943,... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -98,
"target_ratio": 0.97,
"target_value": -95.06
} | 20 |
b82a9a5c1952413bdb16f0a16d3345c3 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 3}, ... | {"states": [184, 186], "expectation_value": -1.291607746660533, "params": [0.0025, 0.0023, 0.7969, 0.8029000000000001, 0.0031000000000000003, 0.0013000000000000002, 0.8041, 0.8007000000000001, 0.8002, 0.8052, 0.8046000000000001, 0.8003, 0.5622, 0.5668000000000001, 0.7955, 0.7975, 0.5545, 0.5617, -0.1529, 0.0016, 0.5821... | 0.03125 * (Z(0) @ Z(1)) + 0.03125 * (Z(0) @ Z(3)) + 0.03125 * (Z(0) @ Z(4)) + 0.03125 * (Z(0) @ Z(5)) + 0.03125 * (Z(0) @ Z(2)) + 0.03125 * (Z(1) @ Z(3)) + 0.03125 * (Z(1) @ Z(4)) + 0.03125 * (Z(1) @ Z(5)) + 0.03125 * (Z(1) @ Z(2)) + 0.03125 * (Z(3) @ Z(4)) + 0.03125 * (Z(3) @ Z(5)) + 0.03125 * (Z(2) @ Z(3)) + 0.03125 ... | 13 | 9 | 1 | {"smallest_eigenvalues": [-4.03125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.03125, "smallest_bitstrings": ["101000101"], "largest_eigenvalue": 5.96875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.11022342115498221) q[0];
rz(0.2278358494353454) q[0];
rx(0.28944785594669625) q[1];
rz(-0.2044616825056346) q[1];
cx q[1], q[0];
rz(-0.07297822034108067) q[0];
cx q[1], q[0];
rz(-1.660014583555341) q[0];
ry(0.08410768725013024) q[0];
rz(2.05709422351947) q[0];
rx(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": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIZIIIZI",
"IIIIIIZZI",
"IIIIZZIII",
"IIIZIZIII",
"IIIIIZZII",
"IIIZZIIII",
"IIIIZIZII",
"IIIZIIZII",
"IIIIIZIZZ",
"IIIIZIIZZ",
"IIIZIIIZZ",
"IIIIIIZZZ",
"IIIIZZIIZ",
"IIIZIZIIZ",
"... | [
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.0312... | 0.970338 | [
0.11022342115498221,
0.15485762909426468,
0.28944785594669625,
-0.2044616825056346,
0.10518615424971503,
0.18280995639776648,
0.43584200198613005,
-0.3234665047524375,
0.5883965255693145,
0.024560163426035137,
0.38870551459165004,
0.039152227464967604,
0.1543307577594331,
0.151178642755410... | {
"n_parameters": 152,
"n_qubits": 9,
"optimal_eigenvalue": -4.03125,
"target_ratio": 0.97,
"target_value": -3.9103125
} | 13 |
4efda73086e423267629fcac53fdd9a4 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [175, 174], "expectation_value": -57.84605224621625, "params": [0.32980000000000004, 0.3769, 0.8972, 0.003, -0.0018000000000000002, 0.6653, 0.9016000000000001, 0.2127, 0.41550000000000004, 0.41800000000000004, 0.9003, 0.024300000000000002, 0.8992, 0.050100000000000006, 0.8939, 0.11510000000000001, 0.4824, 0.... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(3) @ Z(5)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(6) @ Z(8)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(7) @ Z(6)) + 3.0 * Z(0) + 9.5 * Z(1) + 4.0 * Z(4) + 8.5 * Z(5) + 9.5 * Z(3) + 9.0 * Z(8) + 8.5 * Z(6) + 15.0 * Z(7) + -11.5 * Z(2) | 18 | 9 | 3 | {"smallest_eigenvalues": [-79.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["101010001"], "largest_eigenvalue": 137.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.03263049384950011) q[0];
rz(0.5784945427414456) q[0];
rx(0.9825860458321358) q[1];
rz(-0.0506497234224354) q[1];
rx(0.04134246377609603) q[2];
rz(0.6414285523667742) q[2];
rx(1.2873253412115777) q[3];
rz(-0.09952889733481919) q[3];
rx(0.2783027064694531) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIZZIIII",
"IIIIZZIII",
"IIIZIZIII",
"ZIIIIIIZI",
"ZIZIIIIII",
"IZIIIIIIZ",
"ZZIIIIIII",
"IZZIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIZIIIII",
"IIIIIZIII",
"ZIIIIIIII",
"IIZIIIIII",
"IZIIIIIII",
"IIIIIIZII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
3,
9.5,
4,
8.5,
9.5,
9,
8.5,
15,
-11.5
] | 0.972553 | [
-0.03263049384950012,
0.5252128529088722,
0.9825860458321358,
-0.0506497234224354,
0.04134246377609603,
0.6414285523667742,
1.2873253412115777,
-0.09952889733481919,
0.2783027064694531,
0.615850123785066,
0.9977350785872459,
0.17851357367124154,
1.0416455720505335,
0.19553395835083667,
1... | {
"n_parameters": 78,
"n_qubits": 9,
"optimal_eigenvalue": -79,
"target_ratio": 0.97,
"target_value": -76.63
} | 10 |
951cbddae609304a780bb0bbe3d3c74a | 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": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [458, 462], "expectation_value": -1.0600423305081748, "params": [[[0.1527, 0.3049, 0.0078000000000000005, 0.0002], [0.48560000000000003, 0.08, 0.3336, 0.17420000000000002], [0.1174, -0.16440000000000002, 0.0591, -0.32880000000000004], [0.2901, -0.3161, 0.5007, 0.1575], [0.2852, 0.30920000000000003, 0.4893, -... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(0) @ Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(4) @ Z(6) @ Z(7)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.25 * (Z(8) @ Z(6)) + -0.25 *... | 11 | 10 | 3 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.125, "smallest_bitstrings": ["0110100010", "0110011000", "0110110000", "0110101000", "1100010100", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.012558003040867877) q[0];
rz(0.7622563568799818) q[0];
ry(-0.10803919129409958) q[1];
rz(-0.32679151247705823) q[1];
cx q[1], q[0];
ry(0.09393716342277954) q[0];
rz(0.3123749171255784) q[0];
ry(0.6915755387416351) q[1];
rz(0.3260816840128638) q[1];
ry(-0.185221726... | 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] x11;
input float[64] x12;
input float[64] x13;
inpu... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIIIZZIZ",
"IIIIZZIIII",
"IIIZIZIIII",
"IIZIIZIIII",
"IIZZIIIIII",
"IIZZIZIIII",
"IIIZZIIIII",
"IZIIZIIIII",
"IZIZIIIIII",
"IZIZZIIIII",
"IIZIIIIZII",
"IZIIIIIZII",
"ZIIIIIIZII",
"IZZIIIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII"... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
-0.25,
-0.25,
0.125,
0,
-0.25,
-0.25,
0,
0.125,
0.1... | 0.972589 | [
0.012558003040867877,
0.7622563568799818,
-0.10803919129409958,
-0.32679151247705823,
-0.18522172667458084,
-0.34593201446337846,
0.03934487114438403,
-0.4428242383139507,
0.17998212812584102,
0.31961827469353526,
-0.06746124436891895,
0.82681021319161,
0.7784283399633063,
-0.7800809250948... | {
"n_parameters": 107,
"n_qubits": 10,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 124 |
a617cd4648156ddc77f993201a7a952c | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [6, 7], "expectation_value": -13.22448468900043, "params": [[[0.22390000000000002, 0.18580000000000002], [0.2676, 0.18630000000000002], [0.2644, 0.1888], [0.2597, -0.18730000000000002], [0.2529, 0.1879], [0.5929, 0.0016], [0.5942000000000001, 0.0012000000000000001], [0.5629000000000001, -0.002]], [[0.2256000... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.... | 1 | 8 | 3 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.016051595018557085) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.016051595018557085) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.016051595018557085) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.016051595018557085) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
2.75,
2.75,
-7,
-7.25,
-7,
-7,
-7,
-6.25,
-6.25,
-6.75
] | 0.976479 | [
0.016051595018557085,
-0.044725556110224884,
-1.5942489739862034,
-1.511915062604028,
1.942486051428569,
1.7812596979441973,
-1.4758902744393279,
0.463896267873675,
0.4666780978923133,
-1.0713581426797705,
-2.0979600597052888,
1.374106261390757,
-0.36896266833425195,
0.11673470776900458,
... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 78 |
b6d439c96c0f87fc03a4b5b2f2bf1805 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [104, 112], "expectation_value": -3.996449161093029, "params": null, "bitstrings": ["0010111", "0001111"], "total_optimization_steps": 23, "probabilities": [0.06701277438239066, 0.9297056987664509], "optimization_time": 20.936269998550415} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * Z(5) + -0.5 * Z(0) + -1.0 * Z(6) + 0.0 * Z(1) + -1.0 * Z(3) + -0.5 * Z(2) + -1.5 * Z(4) | 1 | 7 | 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": ["0010111", "1101100", "1001101", "0011011", "0001111"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.5191980308047215) q[0];
h q[1];
ry(1.5405695011376466) q[1];
h q[2];
h q[3];
ry(-0.5866982180362897) q[3];
cx q[2], q[3];
ry(0.5866982180362897) q[3];
cx q[2], q[3];
ry(0.9597495752945346) q[2];
ry(-0.5579615667866465) q[3];
h q[4];
ry(-1.6415637574708137) ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IZIIIIZ",
"ZIIIIIZ",
"ZIIIIZI",
"IZIZIII",
"IIIZZII",
"IZZIIII",
"ZIZIIII",
"IIZZIII",
"IIZIZII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
0,
-1,
-0.5,
-1.5
] | 0.995551 | [
-1.6415637574708137,
-1.5174011236909681,
1.5405695011376466,
1.5191980308047215,
-1.1733964360725795,
0.6926129454350894,
-0.15953231009867133,
-0.3691247614136871,
0.5342732597188904,
-0.37767361074591893,
0.35119070739281916,
-0.03222369551844963,
-0.12500416830118127,
0.067816064562840... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
2a9ab16bb8bcea71e9f34a77597a5638 | 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": 18, "source": 0, "target": 3}, {"weight": 14, "source": 0, "target": 6}, {"weight": 15, "source": 1, "target": 3}, {... | {"states": [120, 122], "expectation_value": -10.971525556646148, "params": null, "bitstrings": ["10000111", "10000101"], "total_optimization_steps": 100, "probabilities": [0.06949627212393182, 0.07974546248591978], "optimization_time": 156.27541494369507} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 163.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.21069830025586003) q[0];
rz(-0.44314380018304966) q[0];
rx(0.6758685682189609) q[1];
rz(-0.07231239329845751) q[1];
rx(0.5304567662709817) q[2];
rz(0.0524343513804677) q[2];
rx(-0.2764618131261993) q[3];
rz(0.21560061027038913) q[3];
rx(0.6842987872754291) q[4];
r... | 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(18.1327) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
21,
11.5,
7,
19.5,
17.5,
7,
19.5,
0.5
] | 0.970268 | [
-0.21069830025586003,
-0.2661478952017108,
0.6758685682189609,
-0.11332069058319576,
0.5304567662709817,
0.04323630987877809,
-0.27646181312619933,
0.1941591628277346,
0.684298787275429,
-0.08672849227055314,
0.5560224463447703,
0.3101181280349571,
0.13765148430319257,
0.27958925789989647,... | {
"n_parameters": 69,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 9 |
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": -3.682600294638299, "params": [-0.16040000000000001, 0.0659, 0.24760000000000001, 0.8287, 0.1292, 0.7677, -0.09910000000000001, 0.8078000000000001, 0.2039, 0.7786000000000001, -0.1715, 0.9099, -0.4692, 0.009000000000000001, -0.4585, -0.0956, -0.4314, 0.11620000000000001, -0.3503,... | -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 | 3 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["11100", "00100"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(-0.02677676912273383) q[0];
rz(1.7791030721526582) q[0];
rx(0.14185500204046736) q[1];
rz(2.5051147100231335) q[1];
rx(0.20184054179175628) q[2];
rz(2.4106890750013985) q[2];
rx(-0.9808682906550414) q[3];
rz(1.5743759524828) q[3];
rx(-0.35098050451486523) q[4];
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[... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"ZIIII",
"IZIII"
] | [
-1.5,
0.5,
-1,
-1.5,
1,
-1,
0.5,
0.5
] | 0.97098 | [
-0.02677676912273383,
0.20830674535776214,
0.1418550020404674,
0.9343183832282367,
0.20184054179175626,
0.8398927482065018,
-0.9808682906550414,
0.0035796256879041567,
-0.35098050451486523,
0.21567347580531265,
1.2543159242063746,
-0.07935135923841413,
0.2010068271577604,
0.293429892568229... | {
"n_parameters": 75,
"n_qubits": 5,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 10 |
3341929097840712087 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2], [1, 6], [2, 4, 6], [0, 3], [0, 6], [5, 6]]} | {"states": [41, 25], "expectation_value": -2.476263787652533, "params": null, "bitstrings": ["1010110", "1100110"], "total_optimization_steps": 50, "probabilities": [0.030342839730133388, 0.8212834168018195], "optimization_time": 60.841803550720215} | 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(6)) + 0.16666666666666663 * Z(2) + 0.0 * Z(1) + 0.16666666666666674 * Z(6) + 0.16666666666666666 * Z(4... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5000000000000004, "smallest_bitstrings": ["1100110"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6739827382501179) q[0];
h q[1];
ry(-0.2093074994421133) q[1];
h q[2];
h q[3];
ry(0.7396467542561603) q[3];
h q[4];
ry(-0.3667354660683446) q[4];
h q[5];
ry(-0.6739827382501179) q[5];
h q[6];
cx q[6], q[1];
ry(0.2093074994421133) q[1];
cx q[6], q[1];
ry(-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];\ncry(-1.0342) q[6], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IIIIZZI",
"ZIIIZII",
"ZIIIIZI",
"IIZIZII",
"ZIZIIII",
"ZIIIIIZ",
"IIIZIIZ",
"ZZIIIII",
"IIIIZII",
"IIIIIZI",
"ZIIIIII",
"IIZIIII",
"IIIIIIZ",
"IIIZIII",
"IZIIIII"
] | [
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666663,
0,
0.16666666666666674,
0.16666666666666666,
0,
0,
0
] | 0.971722 | [
-0.4186149988842266,
1.5557881195942598,
-1.3479654765002358,
1.4792935085123207,
-0.4863496645788842,
0.9308792778121329,
-0.8947793312271248,
-0.15348780794357786,
-0.45964011326310195,
0.39499111603385006,
-0.7334709321366892,
-0.5603766939077279,
0.2783685698382819,
-0.2821863070397698... | {
"n_parameters": 43,
"n_qubits": 7,
"optimal_eigenvalue": -2.8333333333333335,
"target_ratio": 0.97,
"target_value": -2.7483333333333335
} | 16 |
22a94de1002e0d6d41a3223e7d8b4569 | 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": 9, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 7}, {"weight": 20, "source": 0, "target": 4}, {"weight": 11, "source": 1, "tar... | {"states": [391, 230], "expectation_value": -10.366698165015325, "params": [[0.0476], [-0.0668]], "bitstrings": ["001111000", "100011001"], "total_optimization_steps": 10, "probabilities": [0.003984287534128599, 0.0043613706927493065], "optimization_time": 2.0451128482818604} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 16.5 * Z(2) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-81.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.5, "smallest_bitstrings": ["100011001"], "largest_eigenvalue": 173.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.018803918222292024) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.018803918222292024) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.018803918222292024) q[1];
cx q[0], q[1];
h q[3];
cx q[0], q[3];
rz(-0.018803918222292024) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIZIIIZI",
"IIZIIIIZI",
"IIZIIZIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIIIZIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
16.5,
9,
19,
10,
8.5,
17.5,
14,
10.5,
-5.5
] | 0.978005 | [
-0.018803918222292024,
1.5941969511908811,
-0.8457615311102443,
1.5531584674778314,
1.5797839430751517,
-1.3831799448418733,
1.719160726069657,
1.5292813247974164,
-1.6499747686190398,
-1.2498139219776907,
-1.5701305232110854
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -81.5,
"target_ratio": 0.97,
"target_value": -79.05499999999999
} | 41 |
bf3ec5b79f8955f472cb6ac1b88c1910 | 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": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3... | {"states": [3, 63], "expectation_value": -4.335777917378978, "params": null, "bitstrings": ["1111100", "1000000"], "total_optimization_steps": 65, "probabilities": [0.10092551742810486, 0.4968437275028238], "optimization_time": 89.14313673973083} | -0.25 * (Z(0) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -0.5 * Z(4) + -0.25 * Z(0) + -0.25 * Z(6) + 0.5 * Z(1) + -0.25 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.030506047325823155) q[0];
h q[1];
ry(0.9626531012769405) q[1];
h q[2];
ry(0.7812508056207816) q[2];
h q[3];
ry(0.7812508056207816) q[3];
h q[4];
cx q[4], q[3];
ry(-0.7812508056207816) q[3];
cx q[4], q[3];
cx q[3], q[1];
ry(-0.9626531012769405) q[1];
cx q[3... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.5486) q[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... | [
"IIZIIIZ",
"ZIZIIII",
"ZIIIIIZ",
"IIZIIZI",
"IIZIZII",
"IIIIZZI",
"IIZZIII",
"IIIZIZI",
"IIIZZII",
"IZZIIII",
"ZZIIIII",
"IIZIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IZIIIII"
] | [
-0.25,
-0.25,
0.5,
-0.75,
-0.5,
-0.25,
-1,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
0.5,
-0.25,
0.5,
0.25
] | 0.951722 | [
1.5625016112415633,
1.925306202553881,
1.2541936550988508,
1.4110912127349848,
-0.06101209465164631,
-1.7685038255782743,
-1.804348101458756,
1.9589904075550268,
-1.8509833662241,
0.03816537342584572,
-1.3333242559645757,
0.9913171017473899,
-0.01566841648661444,
0.1802021332140572,
2.98... | {
"n_parameters": 40,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 500 |
646c4ffdec7c3b688313fcfec6df6ea9 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [8, 14], "expectation_value": -3.499971821732338, "params": null, "bitstrings": ["10111", "10001"], "total_optimization_steps": 22, "probabilities": [1.3834854838606892e-05, 0.9999858813341931], "optimization_time": 11.919956922531128} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["10001"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(1.9669260845713552) q[0];
ry(0.1024795632901214) q[0];
rz(-1.7618896224722536) q[0];
rz(1.3195676915300085) q[1];
ry(2.675781808525202) q[1];
rz(-2.101131985716676) q[1];
rz(0.659445598074063) q[2];
ry(2.9276292745841843) q[2];
rz(-2.5769113250260087) q[2];
rz(-1.592... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZIZ",
"IZIIZ",
"ZIIZI",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-0.5,
-1
] | 0.973844 | [
-0.03861409541289346,
0.30559213356773784,
0.7326018024600061,
-0.06435106480608022,
0.9547122432617727,
-0.15670419204282596,
1.266054401368888,
0.002295537787968205,
-0.1307986670653961,
0.03183210554700622,
0.016147551089138828,
-0.018645541425944934,
1.0077607251862293,
1.0367697074034... | {
"n_parameters": 27,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 9 |
-1138517565592699559 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 3, 6], [0, 1, 2, 3], [0, 1, 4], [1, 3, 4, 5, 6], [1, 2, 4, 5], [0, 5, 6], [2, 3, 4, 6], [0, 2, 6]]} | {"states": [78, 94], "expectation_value": -0.08163417086199767, "params": [[-0.0727], [0.06620000000000001]], "bitstrings": ["0110001", "0100001"], "total_optimization_steps": 10, "probabilities": [0.008261945515804016, 0.008279268396834003], "optimization_time": 2.627147912979126} | 0.25 * (Z(0) @ Z(3)) + 0.3 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.13333333333333333 * (Z(1) @ Z(3)) + 0.25 * (Z(1) @ Z(0)) + 0.05 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.13333333333333333 * (Z(4) @ Z(3)) + 0.1666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.2833333333333337], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.95, "smallest_bitstrings": ["0100001"], "largest_eigenvalue": 8.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.521335016350203) q[0];
h q[1];
ry(-0.4681831547665385) q[1];
h q[2];
ry(-2.5153909500335003) q[3];
rz(-pi) q[3];
cx q[0], q[3];
ry(-0.2984858689929996) q[3];
cx q[0], q[3];
h q[4];
ry(1.3328690241221064) q[4];
cx q[4], q[1];
ry(0.4681831547665385) q[1];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"ZIIZIII",
"ZIIIIIZ",
"IIIZIZI",
"IIIIIZZ",
"ZIIIIZI",
"IIIZZII",
"IIIIZIZ",
"ZIIIZII",
"IIIIZZI",
"IIZZIII",
"IIZIIIZ",
"ZIZIIII",
"IIZIIZI",
"IIZIZII",
"IZIZIII",
"IZIIIIZ",
"ZZIIIII",
"IZIIIZI",
"IZIIZII",
"IZZIIII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"III... | [
0.25,
0.3,
0.5,
0.13333333333333333,
0.25,
0.05,
0.16666666666666666,
0.25,
0.25,
0.16666666666666666,
0.13333333333333333,
0.16666666666666666,
0.13333333333333333,
0.3,
0.16666666666666666,
0.05,
0.16666666666666666,
0.21666666666666667,
0.13333333333333333,
0.083333333333333... | 0.973028 | [
1.521335016350203,
1.3328690241221064,
0.6461087542456043,
-0.7278982532658143,
0.5969717379859992,
-0.5193385803063241,
0.8883624832586667,
-0.936366309533077,
0.8036948984739032,
-0.6982222675279749,
0.5740383577229375,
-0.5749458995229116,
0.6152509584411375,
-0.2515751599535188,
0.17... | {
"n_parameters": 29,
"n_qubits": 7,
"optimal_eigenvalue": -2.2833333333333337,
"target_ratio": 0.97,
"target_value": -2.2148333333333334
} | 1 |
1434096e59219230a9a448bfa214dbb8 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 5, "source": 3, "target": 2}, {"capaci... | {"states": [62, 31], "expectation_value": -1.1640191543483984, "params": [[-0.0631, -0.06420000000000001, -0.07780000000000001, -0.0671], [0.0708, 0.0659, 0.075, 0.07050000000000001]], "bitstrings": ["000001", "100000"], "total_optimization_steps": 10, "probabilities": [0.03382596546669706, 0.04038831224149908], "optim... | 0.25 * (Z(0) @ Z(5)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + 0.0 * Z(5) + -0.25 * Z(0) + 0.0 * Z(3) + 0.5 * Z(1) + -0.75 * Z(2) + 0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 2.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(0.2564198566378726) q[0];
cx q[5], q[0];
rz(-0.3146460561418274) q[0];
rx(-1.6223542204331562) q[0];
cx q[5], q[3];
rz(-0.31464605614182717) q[3];
cx q[5], q[3];
cx q[3], q[1];
rz(-0.11063528912386725) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"ZIIIIZ",
"ZIZIII",
"IIZIZI",
"IIZZII",
"IZZIII",
"IZIZII",
"ZIIIII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"IIIZII",
"IZIIII"
] | [
0.25,
-0.25,
-0.5,
-1.25,
-1,
-0.5,
0,
-0.25,
0,
0.5,
-0.75,
0.5
] | 0.970556 | [
0.2564198566378726,
-0.31464605614182717,
-0.11063528912386725,
-0.22235587717504138,
0.043180038727850936,
0.9834780824833873,
0.5361200627626684,
0.807027611931993,
-1.6223542204331562,
0.5313479849503246,
-0.6614372268591644,
-0.18109175624279295,
-0.5344228021086342,
0.0592722986641893... | {
"n_parameters": 25,
"n_qubits": 6,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 114 |
629504279f468411145abc8bbc01a7ac | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [7, 31], "expectation_value": -15.796010364305278, "params": null, "bitstrings": ["111111000", "111100000"], "total_optimization_steps": 78, "probabilities": [0.18731692904869854, 0.5559919290119448], "optimization_time": 125.25607466697693} | -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) +... | 1 | 9 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["111100000"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.06512480167237142) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-4.490808688288129e-05) q[1];
rz(-pi) q[2];
ry(-0.00027066480360059557) q[2];
ry(-0.0016896575177686756) q[3];
rz(-pi) q[3];
h q[4];
ry(1.4528111153941428) q[4];
h q[5];
cx q[5], q[4];
ry(-1.4528111153941428)... | null | {"node": 0} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[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] = ... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
-2.5,
1,
-2.5,
0.5,
-2.5,
0.5,
-1,
-1.5,
-1.5,
-1.5,
-1.5,
-2,
-1.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.957143 | [
-1.3363076832325405,
-1.570905401671658,
-1.570972202207229,
1.5706891228555626,
1.7564891971126506,
1.2310696188078234,
-0.00032317985367866226,
2.9056222307882855,
3.169653584954397,
-1.5706331160630937,
1.3850608960466344,
-1.5691539914602928,
0.00012000868569318898,
0.00012786219450783... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 500 |
9c58c5b77a3170e613a26f379fffeef6 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 4}, {"weight": 13, "source": 0, "target": 2}, {"weight": 18, "source": 0, "target": 5}, {"weight": 2... | {"states": [215, 118], "expectation_value": -11.849199495197256, "params": [[-0.0388], [0.0711]], "bitstrings": ["00101000", "10001001"], "total_optimization_steps": 10, "probabilities": [0.0067867505415607895, 0.00798710490657168], "optimization_time": 2.4277875423431396} | 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(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 158.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.30035957140227065) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.30035957140227065) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.30035957140227065) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.30035957140227065) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
13.5,
5,
16.5,
19.5,
4.5,
17,
14.5,
11.5
] | 0.970623 | [
-0.30035957140227065,
1.1368758079646883,
-1.8923990284899774,
1.0436850348571591,
1.415620980349364,
-0.5091827167950427,
1.4790986719477293,
0.8820371628830349,
0.46473221419256594,
-0.15090594742638722,
0.055618018346008394,
0.32882508347878925,
-0.3312498441524585,
-0.09748772199396417... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 54 |
8524607464641831893 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1], [0, 3, 4], [1, 4], [2, 3, 5], [3, 4, 5]]} | {"states": [21, 43], "expectation_value": -0.03724913744524072, "params": [[-0.0589], [0.0714]], "bitstrings": ["101010", "010100"], "total_optimization_steps": 10, "probabilities": [0.016458311733904454, 0.016548276109026806], "optimization_time": 0.7884345054626465} | 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.3333333333333333 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.0 * Z(1) +... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["010100"], "largest_eigenvalue": 3.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.8666284824255199) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.11548419797377772) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.8666284824255199) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.3883813306860171) q[1];
rx(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(x1) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(x0) q[4]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"IZZIII",
"IIZZII",
"ZIZIII",
"ZZIIII",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0,
0.16666666666666663,
0.5,
0.3333333333333335,
0.16666666666666666,
0.3333333333333333
] | 0.518813 | [
-0.8666284824255199,
-0.11548419797377772,
-0.47270836039204056,
0.38838133068601755,
0.7947285111796331
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 131 |
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": 13.288902521133423} | -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 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["111010"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.34781260363078503) q[0];
ry(-0.0790730710407612) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.07098067974575972) q[2];
h q[3];
ry(1.191000615298271) q[3];
ry(-0.0919506591296967) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[0];
ry(0.34781260363078503) q[0];
cx q[5], ... | 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... | [
"IIIIZZ",
"IZIIIZ",
"IIIZZI",
"IIZZII",
"ZIIIIZ",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
-0.25,
-0.5,
-0.5,
-0.25,
1,
-0.25,
-0.25,
0.25,
-0.25,
-0.25,
-0.75,
0.5,
0.5
] | 0.971308 | [
-1.6195195910882816,
-0.6956252072615701,
1.163192809081668,
-0.6409245945835431,
-1.4157079854028858,
-1.4464175889434372,
1.191000615298271,
0.4437522521707178,
-0.5414288192221872,
0.3199884413474384,
-0.09061133362139674,
-0.12627536452462831,
-0.04451483090474981,
-0.07956465144531773... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 6 |
4940028106925085100 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 2, 3, 4, 5, 6, 10], [0, 1, 7, 9, 11], [0, 1, 4, 6, 7, 8, 9], [1, 2, 4, 8, 9, 10, 11], [0, 9, 2, 1], [2, 7], [0, 11, 4], [9, 10, 3, 6], [0, 1, 5, 7, 11], [2, 4, 5, 8, 10]]} | {"states": [1995, 4042], "expectation_value": -1.8365474987719457, "params": [[[1.7897, 2.7367], [0.4298, -0.40240000000000004], [0.1406, 0.3667], [0.4219, 0.905], [-0.3567, -0.8313], [-1.5743, 1.6520000000000001], [0.0017000000000000001, 1.4932], [-0.0026000000000000003, -0.0021000000000000003], [1.8154000000000001, 0... | 0.10714285714285714 * (Z(0) @ Z(4)) + 0.023809523809523808 * (Z(5) @ Z(4)) + 0.023809523809523808 * (Z(5) @ Z(0)) + 0.09761904761904762 * (Z(6) @ Z(4)) + 0.21428571428571427 * (Z(6) @ Z(0)) + 0.023809523809523808 * (Z(6) @ Z(5)) + 0.07380952380952381 * (Z(7) @ Z(4)) + 0.07380952380952381 * (Z(7) @ Z(0)) + 0.02380952380... | 15 | 12 | 1 | {"smallest_eigenvalues": [-2.4571428571428577], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4571428571428573, "smallest_bitstrings": ["000000110101"], "largest_eigenvalue": 9.499999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(3.100476772482596) q[0];
ry(-0.07882605803450442) q[1];
ry(-0.08008737224224485) q[2];
ry(0.01681420531003434) q[3];
ry(0.023230317993664533) q[4];
ry(-1.5741329995230398) q[5];
ry(0.03193799704309329) q[6];
ry(-0.018349254367819305) q[7];
ry(3.1097821405717068) q[8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIZ",
"IIIIIIZZIIII",
"IIIIIIZIIIIZ",
"IIIIIZIZIIII",
"IIIIIZIIIIIZ",
"IIIIIZZIIIII",
"IIIIZIIZIIII",
"IIIIZIIIIIIZ",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIZIIII",
"IIIZIIIIIIIZ",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIIIZIZII",
"IIIIIIIIIZIZ",
"IIIIIIZII... | [
0.10714285714285714,
0.023809523809523808,
0.023809523809523808,
0.09761904761904762,
0.21428571428571427,
0.023809523809523808,
0.07380952380952381,
0.07380952380952381,
0.023809523809523808,
0.07380952380952381,
0.023809523809523808,
0.047619047619047616,
0.10714285714285714,
0.047619047... | 0.970558 | [
3.100476772482596,
-0.07882605803450442,
-0.08008737224224485,
0.01681420531003434,
0.023230317993664533,
-1.5741329995230398,
0.03193799704309329,
-0.018349254367819305,
3.1097821405717068,
0.049353000222454174,
-0.0071031265225579045,
3.1398297995263613,
3.1603350041348173,
-0.0276878053... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -2.4571428571428577,
"target_ratio": 0.97,
"target_value": -2.383428571428572
} | 61 |
839e49943c280a605024f1eaa388ffdd | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capaci... | {"states": [3, 1], "expectation_value": -7.499987376396085, "params": null, "bitstrings": ["111100", "111110"], "total_optimization_steps": 16, "probabilities": [1.2623561992970457e-05, 0.9999873764286952], "optimization_time": 8.033026933670044} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + 1.5 * (Z(5) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + 1.5 * Z(5) + -1.0 * Z(3) + 0.0 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.610696988332422) q[0];
h q[1];
ry(-1.610696988332422) q[1];
ry(-0.008287823470105224) q[2];
rz(-pi) q[2];
rz(-pi) q[3];
ry(-0.08573910863688183) q[3];
rz(-pi) q[4];
ry(-0.053813276033384) q[4];
h q[5];
ry(1.5055160025387713) q[5];
cx q[5], q[4];
ry(0.11911... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"ZIIIIZ",
"IIZIZI",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
-0.75,
-0.25,
-0.5,
1.5,
-1,
-0.5,
0.5,
-0.25,
-0.75,
1.5,
-1,
0
] | 0.997269 | [
1.5055160025387713,
-1.610696988332422,
-1.5348557413287611,
-1.690543994376932,
-1.50548970354966,
-0.23823979855724126,
0.06801711789030701,
-0.05530552399206049
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
7376273113135352303 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3, 5], [0, 1, 5, 7], [1, 4, 7], [1, 3], [3, 5, 6, 7], [2, 7], [0, 3, 7], [1, 5, 6], [3, 4, 5, 6], [0, 5, 6, 7]]} | {"states": [157, 29], "expectation_value": -2.599155515476042, "params": null, "bitstrings": ["01100010", "11100010"], "total_optimization_steps": 44, "probabilities": [0.07156234861923672, 0.7978542204344227], "optimization_time": 75.51892066001892} | 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.25 * (Z(1) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.6666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5833333333333326, "smallest_bitstrings": ["11100010"], "largest_eigenvalue": 8.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.3000350011663054) q[0];
h q[1];
ry(-0.4796952544709282) q[1];
h q[2];
ry(-0.6422134305084417) q[2];
h q[3];
cx q[3], q[1];
ry(0.4796952544709282) q[1];
cx q[3], q[1];
ry(-0.26519568427801493) q[1];
ry(1.1848695540889536) q[3];
h q[4];
ry(0.3575654861041520... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5547) 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[... | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IIZIIZII",
"IIZIIIIZ",
"IIZIZIII",
"IIIIIIZZ",
"IIIIZIZI",
"IIZIIIZI",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIZIIIII",
"ZIIIIIZI",
"IIIZZIII",
"IIZZIIII",
"IIIZIIZI",
"ZIIZIIII",
"IZIIIIIZ",
"IZIIZIII",
"IZZIIIII",
"IZIIIIZI",
"ZZIIIII... | [
0.08333333333333333,
0.08333333333333333,
0.25,
0.08333333333333333,
0.25,
0.25,
0.08333333333333333,
0.5,
0.25,
0.5,
0.3333333333333333,
0.25,
0.25,
0.25,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.166666666666666... | 0.976121 | [
1.4844373299180607,
1.4005404019902559,
-1.2844268610168834,
-0.9593905089418564,
0.8892932825188352,
-0.5303913685560299,
0.5911525431402369,
-0.3454236669504223,
0.7151309722083041,
-0.6000700023326108,
0.16925513351040655,
0.3583794734393785,
-0.07570198516011575,
-0.45690394543012397,
... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -2.6666666666666665,
"target_ratio": 0.97,
"target_value": -2.5866666666666664
} | 1 |
e7bc699c35b1120df8b5c2c20348ae08 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": ... | {"states": [272, 276], "expectation_value": -19.339141919033633, "params": [0.0132, 0.0015, 0.0038, -0.0036000000000000003, -0.0018000000000000002, -0.0055000000000000005, 0.5188, 0.518, -0.0024000000000000002, -0.0012000000000000001, -0.0064, -0.006500000000000001, -0.0044, 0.002, 0.525, 0.5193, -0.0023, -0.0022, -0.2... | -0.75 * (Z(0) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(4)) + -0.5 * (Z(11) @ Z(1)) + -0.25 * (Z(8) @ Z(4)) + -0.75 * (Z(8) @ Z(6)) + -1.0 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(6)) + -1.5 * (Z(10) @ Z(4)) + -0.25 * (Z(10) @ Z(8)) + -1.5 * (Z(2) @ Z(4)) + 2.25 * (Z(3) @ Z(0)) + -0.75 * (Z(... | 14 | 12 | 3 | {"smallest_eigenvalues": [-19.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.75, "smallest_bitstrings": ["111011101011"], "largest_eigenvalue": 34.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.055646379769937665) q[0];
rz(pi/2) q[0];
ry(0.13412753473506903) q[1];
ry(-0.0984600708175963) q[2];
ry(0.7051176300345915) q[3];
ry(0.023505927614125233) q[4];
ry(-0.041729942059274695) q[5];
ry(0.014430979895287757) q[6];
ry(0.2967934397206087) q[7];
ry(0.066482... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIZIIIZ",
"IIIIIZIIIIZI",
"IIIIIZIZIIII",
"ZIIIIIIIIIZI",
"IIIZIIIZIIII",
"IIIZIZIIIIII",
"IIZIIIIZIIII",
"IIZIIZIIIIII",
"IZIIIIIZIIII",
"IZIZIIIIIIII",
"IIIIIIIZIZII",
"IIIIIIIIZIIZ",
"IIIIIIIZZIII",
"IIZIIIIIZIII",
"IIIIIZZIIIII",
"ZIIIIIZIIIII",
"IIIZIIZII... | [
-0.75,
-1.25,
-1,
-1.75,
-0.5,
-0.25,
-0.75,
-1,
-0.25,
-1.5,
-0.25,
-1.5,
2.25,
-0.75,
-1.25,
-0.75,
-0.25,
-1.25,
-1,
-1,
-1,
-1.25,
-0.75,
0.75,
-0.25,
1.5,
-3,
-0.25,
-1.5,
0.5,
-1.25,
-1.25,
-0.5,
1.25,
4
] | 0.972146 | [
0.055646379769937665,
0.13412753473506903,
-0.0984600708175963,
0.7051176300345915,
0.023505927614125233,
-0.041729942059274695,
0.014430979895287757,
0.2967934397206087,
0.06648216312964361,
-0.6143288318545329,
0.09711885484921542,
0.008412833129762445,
0.5247706511425346,
0.406522214599... | {
"n_parameters": 129,
"n_qubits": 12,
"optimal_eigenvalue": -19.75,
"target_ratio": 0.97,
"target_value": -19.1575
} | 10 |
a617d44a0e23e197ea031a5e0c78581c | 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": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capac... | {"states": [0, 1], "expectation_value": -13.685428373837183, "params": [-0.22030000000000002, 0.0027, -0.20770000000000002, 0.003, -0.0009000000000000001, 0.23, 0.0001, 0.22940000000000002, 0.0125, 0.2204, -0.001, 0.19720000000000001, -0.010100000000000001, 0.1526, 0.003, 0.23290000000000002, -0.0033, 0.241300000000000... | -0.25 * (Z(0) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + 2.5 * (Z(9) @ Z(0)) + -0.75 * (Z(9) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(1) @ Z(7)) + -0.75 * (Z(2) @... | 6 | 10 | 3 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.25, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 13.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.037531659889395476) q[0];
rz(0.18803132479075657) q[0];
rx(0.069884462724163) q[1];
rz(1.041360565935543) q[1];
rx(-0.039123129404561724) q[2];
rz(-0.7325016615982598) q[2];
rx(0.06988446272416299) q[3];
rz(1.0196013877167687) q[3];
rx(-0.022615113653527495) q[4];... | 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": []} | [
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIZIIIZIII",
"IIZIIIIIIZ",
"IIZIIZIIII",
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"IIIIIZIIZI",
"IIIIZIIIZI",
"IIZIIIIIZI",
"IIIIIZIZII",
"IIZIIIIZII",
"IIIIIIIZZI",
"IZIIIZIIII",
"IZIIZIIIII",
"IZIIIIIZII",
"IIIZZIIIII"... | [
-0.25,
-1,
-0.75,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
2.5,
-0.75,
-0.5,
-0.5,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
-0.75,
-0.75,
-0.25,
-0.25,
-2,
1,
0.5,
1.75,
-0.25,
1,
0,
-1.5
] | 0.983194 | [
0.037531659889395476,
0.4163815102787586,
0.06988446272416299,
0.5867525179136751,
-0.03912312940456172,
-0.5187914974032167,
0.742040261088507,
-0.02261511365352749,
-0.7288417945968432,
-0.0033134618253322055,
0.6827412917165196,
0.6852408931746257,
0.04434464253219436,
0.362140031035623... | {
"n_parameters": 44,
"n_qubits": 10,
"optimal_eigenvalue": -16.25,
"target_ratio": 0.97,
"target_value": -15.7625
} | 10 |
f87dfe6dfd2f3c043d517fc1a87ac098 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [135, 134], "expectation_value": -30.88025860054155, "params": [[[0.0917, -0.2936], [0.7000000000000001, 0.0009000000000000001], [0.4597, 0.1274], [-0.0045000000000000005, 0.42600000000000005], [-0.0057, -0.39640000000000003], [0.1356, -0.2844], [0.6933, 0.0016], [0.6960000000000001, -0.0019], [0.47740000000... | 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(7)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(6) @ Z(7)) + 5.0 * (Z(6) @ Z(8)) + -4.0 * Z(0) + -3.0 * Z(2) + 3.5 * Z(1) + -8.0 * Z(3) + -... | 1 | 9 | 3 | {"smallest_eigenvalues": [-52.5, -52.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -49.5, "smallest_bitstrings": ["101111001", "101101001"], "largest_eigenvalue": 82.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-1.8000274463246435) q[0];
ry(0.2734644763586366) q[0];
rz(1.4337714784006081) q[0];
rz(2.6397953437529402) q[1];
ry(3.070375001516819) q[1];
rz(-0.28371191387119366) q[1];
rz(1.5490734918936386) q[2];
ry(0.16335181971610593) q[2];
rz(-1.5628496390738877) q[2];
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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIZZIII",
"IIIZIIIZI",
"IZIIIIZII",
"ZIIIZIIII",
"ZZIIIIIII",
"IIZIIIIZI",
"IIZZIIIII",
"IZZIIIIII",
"ZIZIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIZIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
-4,
-3,
3.5,
-8,
-10,
-3.5,
4,
-4,
2.5
] | 0.974993 | [
0.01277546293986738,
-0.23249999258742604,
0.7656540335323452,
0.039405391323880504,
0.11968807265485848,
0.09777536547587182,
0.09346690695957163,
0.3799913910661036,
0.044207315893278566,
-0.34004101841621664,
0.22682456622857913,
-0.24612370474959336,
0.5388123724576668,
0.1166057011677... | {
"n_parameters": 49,
"n_qubits": 9,
"optimal_eigenvalue": -52.5,
"target_ratio": 0.97,
"target_value": -50.925
} | 17 |
031bde19006d92e908f1dc22e1fb7974 | 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": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 6, "target": 8}, {"sour... | {"states": [126, 255], "expectation_value": -6.141279242601252, "params": [[[-0.8576, 1.1112], [0.11330000000000001, 1.1113], [-0.0026000000000000003, 0.4746], [-0.0022, -0.0005], [-0.0029000000000000002, -0.0015], [-0.0027, 0.0029000000000000002], [-0.0029000000000000002, -0.0021000000000000003], [-0.0035, -0.0035]]],... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 1.0 * Z(6) + 0.5 * Z(5) + -1.0 * Z(7) | 15 | 8 | 1 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["00000000"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.03703759092631452) q[0];
ry(-0.10644619611163444) q[1];
ry(0.0344378454434858) q[2];
ry(-0.055278475359991974) q[3];
ry(0.06948135351492049) q[4];
ry(0.31902454810079145) q[5];
ry(0.06948135351492049) q[6];
ry(-0.13809416760795773) q[7];
cx q[7], q[0];
cx q[6], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZZIII",
"IIIZIZII",
"IZZIIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-1,
-1.5,
-1.5,
0.5,
-1.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
0.5,
-1
] | 0.977681 | [
-0.03703759092631452,
-0.10644619611163444,
0.0344378454434858,
-0.055278475359991974,
0.06948135351492049,
0.31902454810079145,
-0.13809416760795773,
3.1688219934308886,
-0.017763723753566635,
0.02238548066456226,
-0.08778899776477263,
-0.03551592038953511,
-0.14221577294177784,
-0.028172... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 71 |
18f51c81d01a61d58a5d6da20c55ce9d | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [0, 135], "expectation_value": -26.760096888301835, "params": [0.0047, 0.3209, -0.0085, 0.6105, 0.0012000000000000001, 0.6678000000000001, 0.0094, 0.8456, -0.33640000000000003, -0.3128, -0.28950000000000004, 0.5061, 0.0038, 0.504, 0.0012000000000000001, 0.5850000000000001, -0.0183, 0.46330000000000005, -0.00... | -2.5 * (Z(0) @ Z(3)) + -3.5 * (Z(6) @ Z(3)) + -3.0 * (Z(6) @ Z(0)) + -3.5 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(6)) + -2.5 * (Z(4) @ Z(1)) + 1.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(6)) + -3.0 * (Z(5) @ Z(1)) + 1.0... | 6 | 10 | 4 | {"smallest_eigenvalues": [-28.0, -28.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -25.0, "smallest_bitstrings": ["0000000000", "1101111000"], "largest_eigenvalue": 33.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.13073336812900155) q[0];
rz(2.3125814195312717) q[0];
rx(-0.022863559920685953) q[1];
rz(2.6074573354717945) q[1];
rx(-0.6999719192594032) q[2];
rz(0.7666142932163726) q[2];
rx(-0.10078216518072208) q[3];
rz(1.1992446106943841) q[3];
rx(0.2775570395800168) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIZIIZIII",
"IIIZIIIIIZ",
"IIIIIIZIZI",
"IIIIIIIIZZ",
"IIIZIIIIZI",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIZIZIIII",
"IIIIIZIIZI",
"IIIIZIZIII",
"IIIIZIIIIZ",
"IIIZZIIIII",
"IIIIZIIIZI",
"IIIIZZIIII",
"ZIZIIIIIII",
"ZIIIIIIZII",
"IIZIIIIZII",
"ZZIIIIIIII",
"IZZIIIIIII"... | [
-2.5,
-3.5,
-3,
-3.5,
1,
-3,
1,
0.5,
-3,
-2.5,
1.5,
0.5,
-3.5,
-3,
1,
-2,
0.5,
-1.5,
-1.5,
0.5,
-2.5,
1,
1.5,
1.5,
0.5,
-2,
0.5,
0.5,
0.5,
0.5
] | 0.972686 | [
0.13073336812900155,
0.7417850927363753,
-0.022863559920685953,
1.036661008676898,
-0.699971919259403,
-0.8041820335785246,
-0.10078216518072207,
-0.3715517161005127,
0.2775570395800168,
0.1652549542095049,
-0.057320429884227274,
0.5763437102242233,
-0.08716646181105751,
0.4355435746943682... | {
"n_parameters": 189,
"n_qubits": 10,
"optimal_eigenvalue": -28,
"target_ratio": 0.97,
"target_value": -27.16
} | 356 |
78f89ba37e1e52ef320c2e0609cedde3 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "s... | {"states": [1, 215], "expectation_value": -3.9688552275152276, "params": [[0.1514, 0.1758], [-0.12150000000000001, -0.1661]], "bitstrings": ["111111110", "100101000"], "total_optimization_steps": 20, "probabilities": [0.015328377061347553, 0.019768130954210456], "optimization_time": 4.997118949890137} | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(5)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(... | 1 | 9 | 2 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["100101000"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.14641081276545506) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.14641081276545506) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(1.446521872496118) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.09337964079066705) q[4];
cx q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIZII",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZIZIII",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIZIIIZI",
"IIZIIIIZI",
"IZIIIIZII",
"IZIIIZIII",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"... | [
-0.5,
-0.5,
-1,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
2,
-0.25,
-0.25,
-0.5,
0.25,
-0.25,
-1.25,
-0.25,
-1,
1.5,
-0.25,
0.5,
0.75
] | 0.589868 | [
0.14641081276545506,
1.446521872496118,
0.09337964079066705,
-1.3582993433250345,
0.08855406426495552,
1.5235042087243942,
-1.4438171798178152,
0.3232872648045847,
-0.20999463321216236,
0.9608239973720152
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 259 |
8e4b273e62e3bdbcb042f56fe9c0bd31 | 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": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [44, 42], "expectation_value": -3.249898543594036, "params": null, "bitstrings": ["010011", "010101"], "total_optimization_steps": 27, "probabilities": [1.7118399797761745e-05, 0.9999492882952955], "optimization_time": 17.252448320388794} | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(5) @ Z(2)) + -0.25 * Z(0) + -0.25 * Z(2) + -0.75 * Z(1) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["010101"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.003570858544960076) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(0.003570858544960076) q[0];
cx q[1], q[0];
cx q[2], q[1];
rz(0.003570858544960076) q[1];
cx q[1], q[0];
rz(-0.11726358043627519) q[0];
cx q[1], q[0];
cx q[2], q[1];
rz... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIIIZZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZZIII",
"ZZIIII",
"ZIIZII",
"IIIIIZ",
"IIIZII",
"IIIIZI",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.5,
-0.25,
-0.25,
-0.75,
-0.5,
-0.5,
-0.5
] | 0.762533 | [
0.003570858544960076,
-0.11726358043627519,
-0.6462594328548128,
1.611929135236777,
0.6371699566376291,
0.9513101502862553,
0.03572501092869963,
0.07116209703665359,
-1.4784117063539257,
-0.06107024763807288,
0.8005656144892781,
0.538238114406948
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 320 |
fd959b015d7c5b50b2cd05831ed95a60 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 2}, {"weight": 17, "source": 0, "target": 4}, {"weight": 19, "source": 1, "target": 2}, {"weight": 1... | {"states": [219, 122], "expectation_value": -43.5964027719992, "params": null, "bitstrings": ["00100100", "10000101"], "total_optimization_steps": 100, "probabilities": [0.13386896449906283, 0.3013653293628955], "optimization_time": 165.7396960258484} | 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(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-73.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 155.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.2814273479283241) q[0];
cx q[5], q[0];
rz(0.988627421386453) q[0];
rx(-1.6100914394477277) q[0];
cx q[5], q[1];
rz(-0.2814273479283241) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(-0.2814273479283241) q[2];... | null | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"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(-3.4097) 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... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
17,
11,
12,
20,
12.5,
4,
17.5,
5
] | 0.793132 | [
-0.2814273479283241,
-2.083999084261337,
0.9886274213864532,
-0.2943566891904666,
-0.17545221926890683,
-1.6100914394477277,
0.44025124807503524,
1.5189639182857877,
-0.6158615151039641,
-0.2722032415841509,
-0.7056736669533165
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 249 |
54a88e4bf9eba50970f4f6239c6ad816 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 1, "s... | {"states": [32, 33], "expectation_value": -6.041423301291061, "params": [-0.0041, -0.0978, -0.0009000000000000001, -0.10690000000000001, 0.0006000000000000001, -0.3234, 0.0055000000000000005, -0.3612, 0.0039000000000000003, -0.3012, 0.0005, -0.38480000000000003, 0.518, 0.1391, 0.5385, 0.0994, -0.0067, -0.15230000000000... | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.25 * (Z(3) @ Z(7)) + -0.25 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(3)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(3)) + -0.25 * (Z(8) @ Z(5)) + -0.25 * (Z(6) @ Z(1)) + -0.25 * (Z(6... | 5 | 9 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000000", "110010000", "111011110", "100010000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3793360292258723) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.5201896407098358) q[4];
cx q[1], q[4];
rz(-0.5201896407098361) q[4];
rx(-0.7670228702555436) q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[7];
rz(-0.37933... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IZIIIIIZI",
"IIIIIIZZI",
"IZIIIIZII",
"IZIIIZIII",
"IZIZIIIII",
"IIIZIZIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"IIZIIIIZI",
"IZZIIIIII",
"IIZIIIZII",
"IIZZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IZIIIIIII",
"IIIIIIZII",
"... | [
-0.5,
-0.75,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.75,
0.75,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
0.25,
-0.25,
-0.75,
0,
-0.25,
1.75,
-1,
-0.5,
0.75
] | 0.758041 | [
-0.3793360292258723,
-0.5201896407098358,
-0.38243772138101756,
0.3107532064049031,
-1.0193568042474141,
-0.10867563690290413,
1.2064359660083703,
-0.7234303447869407,
-0.7670228702555438,
0.8205618517798737,
0.9675232474993655,
0.5915471870437505,
-1.0311894401406954,
1.1821597172385196,
... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 500 |
013db1e60742836361d409cff73e3a65 | 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": 3}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"sour... | {"states": [70, 71], "expectation_value": -4.672177139573892, "params": [-0.0019, 0.0014, 0.24100000000000002, 0.24020000000000002, 0.49960000000000004, 0.5021, -0.0085, -0.0048000000000000004, 0.046, 0.0432, 0.0724, 0.0722, 0.502, 0.5009, 0.5085000000000001, 0.5004000000000001, 0.46090000000000003, 0.4587, 0.0008, -0.... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + -1.0 * Z(2) + -1.5 * Z(0) + -2.0 *... | 13 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["100111001", "110111000", "110101001"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.03056489341591742) q[0];
rz(0.14660583345833042) q[0];
ry(0.08237689250434209) q[1];
ry(0.8566358613358229) q[2];
ry(-0.23244877892030796) q[3];
ry(0.3187468990900097) q[4];
ry(-0.0023272494671129906) q[5];
ry(0.8210492836140263) q[6];
ry(0.7013890815267567) 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": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIIZ",
"IZIIIZIII",
"IIIIZZIII",
"IIIIZIIZI",
"ZIIIZIIII",
"ZIIIIIIZI",
"IIIZIIZII",
"IZIZIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIZIIIIII",
"IZIIIIIII",
"IIIIZIIII",
"IIIIIIIZI",
"ZIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-2,
-0.5,
-1,
-1,
-0.5,
-0.5,
-0.5
] | 0.973885 | [
0.03056489341591742,
0.08237689250434209,
0.8566358613358229,
-0.23244877892030796,
0.3187468990900097,
-0.0023272494671129906,
0.8210492836140263,
0.7013890815267567,
0.6009811382498004,
0.29321166691666084,
0.0306922099488319,
0.05471751331444326,
-0.13444401304008996,
0.4213948185480585... | {
"n_parameters": 68,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 14 |
9aafe0580999b1b0b4b8e8eda0d2bc18 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}], "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}, {"source": ... | {"states": [6, 3], "expectation_value": -0.9241863143409897, "params": [[0.0317], [-0.022500000000000003]], "bitstrings": ["111001", "111100"], "total_optimization_steps": 10, "probabilities": [0.016403418642573685, 0.016561381090201808], "optimization_time": 2.1398301124572754} | 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 ... | 16 | 6 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.008488357935385014) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.008488357935385014) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.008488357935385014) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.008488357935385014) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[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];
c... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
-5.75,
-6,
-5.75,
-5.75,
-5.5,
-5.25
] | 0.975971 | [
-0.008488357935385014,
1.2282148178064172,
-0.8433163024275433,
1.9725853102242956,
0.7728853189660121,
1.8680963585552939,
1.0323223109501083,
-1.0872816684056126,
-1.4919523916296222,
-1.1032332760214447,
0.051606515557825625,
0.9174931232599342,
-0.7487650083959976,
-0.9471809696574603,... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -69.5,
"target_ratio": 0.97,
"target_value": -67.41499999999999
} | 87 |
-3663474655203490324 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[1, 3, 4, 5, 6, 8, 11, 12], [2, 3, 4, 6, 8, 10, 11, 12], [0, 1, 2, 3, 4, 6, 7, 9, 11], [1, 5, 6, 7, 8, 10, 11, 12], [0, 3, 9, 10, 12], [8, 1, 2, 6], [8, 3, 7], [2, 3, 4, 5, 8, 9, 10, 11], [0, 4, 5, 6, 7, 10, 11, 12], [0, 5, 8, 9, 10, 11, 12], [1, 2, 5... | {"states": [3823, 3821], "expectation_value": -3.2885696192951746, "params": [[[-0.0024000000000000002, 0.0095, 0.0038, 0.0047], [-0.0022, 0.6809000000000001, 1.5685, 0.0013000000000000002], [3.1614, 0.008400000000000001, 0.008700000000000001, 0.0049], [-0.0017000000000000001, 0.7744000000000001, 1.5725, 0.002900000000... | 0.07896825396825397 * (Z(1) @ Z(3)) + 0.1007936507936508 * (Z(4) @ Z(3)) + 0.08888888888888888 * (Z(4) @ Z(1)) + 0.0496031746031746 * (Z(5) @ Z(3)) + 0.10674603174603176 * (Z(5) @ Z(1)) + 0.11071428571428571 * (Z(5) @ Z(4)) + 0.06349206349206349 * (Z(6) @ Z(3)) + 0.17063492063492064 * (Z(6) @ Z(1)) + 0.0912698412698412... | 12 | 13 | 1 | {"smallest_eigenvalues": [-3.32142857142857], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.304761904761903, "smallest_bitstrings": ["1000100010010"], "largest_eigenvalue": 16.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.11580709813193571) q[0];
rz(0.03419230425803316) q[0];
ry(-0.021248099120654937) q[1];
rz(0.8882720278972482) q[1];
cz q[1], q[0];
ry(-2.9481489359835447) q[1];
ry(3.2448830665908956) q[2];
rz(0.1011700282516864) q[2];
ry(0.012235239627471946) q[3];
rz(0.824942346... | OPENQASM 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": []} | [
"IIIIIIIIIZIZI",
"IIIIIIIIZZIII",
"IIIIIIIIZIIZI",
"IIIIIIIZIZIII",
"IIIIIIIZIIIZI",
"IIIIIIIZZIIII",
"IIIIIIZIIZIII",
"IIIIIIZIIIIZI",
"IIIIIIZIZIIII",
"IIIIIIZZIIIII",
"IIIIZIIIIZIII",
"IIIIZIIIIIIZI",
"IIIIZIIIZIIII",
"IIIIZIIZIIIII",
"IIIIZIZIIIIII",
"IZIIIIIIIZIII",
"IZIIIIIIIII... | [
0.07896825396825397,
0.1007936507936508,
0.08888888888888888,
0.0496031746031746,
0.10674603174603176,
0.11071428571428571,
0.06349206349206349,
0.17063492063492064,
0.09126984126984126,
0.09126984126984126,
0.25357142857142856,
0.1857142857142857,
0.0869047619047619,
0.19404761904761902,
... | 0.986779 | [
0.11580709813193571,
0.03419230425803316,
-0.021248099120654937,
0.8882720278972482,
3.2448830665908956,
0.1011700282516864,
0.012235239627471946,
0.8249423466939778,
-0.020547839103368035,
0.09749341376601335,
0.8171846835440778,
3.098793461731745,
0.011845968340156228,
0.1267900902256322... | {
"n_parameters": 35,
"n_qubits": 13,
"optimal_eigenvalue": -3.32142857142857,
"target_ratio": 0.97,
"target_value": -3.2217857142857125
} | 1 |
-4840633091927207144 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 5], [0, 1, 2, 3, 4], [0, 2, 5]]} | {"states": [58, 60], "expectation_value": -0.611550117097998, "params": [[-0.8581000000000001], [0.3891]], "bitstrings": ["000101", "000011"], "total_optimization_steps": 90, "probabilities": [0.04804601574437045, 0.048046015744370466], "optimization_time": 2.758145332336426} | 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.05 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.05 * (Z(2) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(0)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(3) @ Z(0)) + 0.05 * (Z(3) @ Z(2)) + 0.05 * (Z(4) @ Z(1)) + 0.05 * (Z(4) @ Z(0)) + 0.05 * (Z(4) @ Z(2)) + ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.0333333333333334, -1.0333333333333334, -1.0333333333333334], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.0333333333333332, "smallest_bitstrings": ["000111", "000101", "000011"], "largest_eigenvalue": 2.5000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(-1.5866323392300794) q[1];
cx q[5], q[1];
cx q[5], q[0];
rz(0.21195365320726003) q[0];
cx q[5], q[0];
cx q[1], q[0];
rz(-0.16247826745008306) q[0];
cx q[1], q[0];
cx q[5], q[2];
rz(0.21195365320726003) 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[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[5], q[0];
rz(x1) q[0];
c... | null | {"circuits": [], "gradients": []} | [
"ZIIIZI",
"ZIIIIZ",
"IIIIZZ",
"ZIIZII",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.16666666666666666,
0.05,
0.16666666666666666,
0.05,
0.21666666666666667,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.16666666666666663,
0.1000000000000002,
0.26666666666666666,
0.26666666666666666,
0.1,
0.1
] | 0.776854 | [
-1.5866323392300794,
0.21195365320726003,
-0.16247826745008306,
0.2320167627740103,
-0.3174183907191711,
-2.006787925209502,
0.8724488135409196
] | {
"n_parameters": 7,
"n_qubits": 6,
"optimal_eigenvalue": -1.0333333333333334,
"target_ratio": 0.97,
"target_value": -1.0023333333333333
} | 158 |
4453387051715974499 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 5, 6], [0, 1, 2], [3, 4]]} | {"states": [52, 53], "expectation_value": -0.9945459691849412, "params": null, "bitstrings": ["1001011", "1001010"], "total_optimization_steps": 49, "probabilities": [0.08425797018155487, 0.39683348874659624], "optimization_time": 53.66758704185486} | 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * Z(5) + 0.3333333333333333 * Z(1) + 0.16666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.1666666666666667, -1.1666666666666667, -1.1666666666666667, -1.1666666666666667, -1.1666666666666667, -1.1666666666666667], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.1666666666666665, "smallest_bitstrings": ["0011010", "1001010", "0010110", "0100100", "0101000", "10001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(1.5707963996109369) q[3];
cx q[4], q[3];
rz(5.4408141547668265e-08) q[3];
rx(-0.7756478572194019) q[3];
rz(5.4408141547668265e-08) q[4];
rx(-0.7756478572194019) q[4];
h q[5];
cx q[5], q[1];
rz(0.46279540978699985... | 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(1.2292) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IZIIIZI",
"ZZIIIII",
"ZIIIIZI",
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZZIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IIIZIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0,
0
] | 0.801382 | [
0.46279540978699985,
1.5707963996109369,
0.7522520158761321,
5.440814181102677e-8,
-0.775647857219402
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -1.1666666666666667,
"target_ratio": 0.97,
"target_value": -1.1316666666666666
} | 127 |
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