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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
eaf152c9366c1fc70b9994ec462b6b4c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [35, 7], "expectation_value": -3.9964640440510215, "params": null, "bitstrings": ["011100", "111000"], "total_optimization_steps": 23, "probabilities": [0.06634810230103094, 0.9303665171778082], "optimization_time": 16.14678430557251} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.0 * Z(3) + -1.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["111000", "011100"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.6888090260409325) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.6888090260409325) q[3];
cx q[2], q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.6888090260409325) q[1];
cx q[2], q[1];
rz(0.6888090260409325) q[3];
cx q[0], q[3];
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(-1.5708) 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... | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IIIZZI",
"IIZIZI",
"IZIIZI",
"ZIIZII",
"ZIIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1,
-1.5,
0,
-0.5
] | 0.97417 | [
0.6888090260409325,
-0.8365933516710795,
0.4055984428236141,
-0.5984647884441731,
0.6289659276331325,
0.03651754152469934,
-0.5975771749548225,
-0.20606642446438989,
0.7006882864312995,
-0.769960966506855,
-1.1910601522991142,
-0.06878545903780295,
-0.25779646726100014,
0.6591243819959086,... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 36 |
459811ecea835181cb936b26391c2fbd | 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": [679, 675], "expectation_value": -103.39025259530261, "params": [0.0027, -0.7177, 1.0003, -0.1033, 0.3552, -0.1908, 0.999, 0.0471, -0.0027, 0.6304000000000001, 0.9988, 0.2642, 0.1922, 0.4988, -0.0019, -0.5187, 0.4546, 0.3124, 0.993, 0.0142, 0.9917, 0.006, 0.0022, -0.7334, 0.9943000000000001, -0.1210000000000... | 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(1) @ Z(3)) + 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(10) @ Z(6)) + 7.0 * (Z(8) @ Z(5)) + 7.0 * (Z(8) @ Z(10)) + 7.0 * (Z(9) @ Z(2)) + 7.0 * (Z(9) @ Z(10)) + 7.0 * (Z(9) @ Z(8)) + 16.0 * Z(3) + 8.0 * Z(2) + 13.5 * Z(1) + -5.5 * Z(4) ... | 18 | 11 | 3 | {"smallest_eigenvalues": [-118.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -109.5, "smallest_bitstrings": ["10101011100"], "largest_eigenvalue": 172.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.11709063303153093) q[0];
rz(-0.35155672365001234) q[0];
rx(1.0344587204926416) q[1];
rz(-0.267776735439586) q[1];
rx(0.15189713270530136) q[2];
rz(-0.2197232020751141) q[2];
rx(0.9447110017552699) q[3];
rz(-0.06590899593177335) q[3];
rx(0.127417525678447) 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], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZII",
"IIIIIIIZIZI",
"IIIIIIIIZZI",
"IIIIIIZZIII",
"IIIIZZIIIII",
"IIIZIIIIIZI",
"ZIIIZIIIIII",
"IIZIIZIIIII",
"ZIZIIIIIIII",
"IZIIIIIIZII",
"ZZIIIIIIIII",
"IZZIIIIIIII",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IIIZIIIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
16,
8,
13.5,
-5.5,
5.5,
2.5,
-3,
12.5,
11,
15,
-13
] | 0.979785 | [
0.11709063303153092,
-0.47161213076193087,
1.0344587204926416,
-0.267776735439586,
0.15189713270530136,
-0.2197232020751141,
0.9447110017552699,
-0.06590899593177335,
0.127417525678447,
0.762370637875554,
1.1758240228343186,
0.09322903607811893,
-0.004640334620205737,
0.591320445592521,
... | {
"n_parameters": 94,
"n_qubits": 11,
"optimal_eigenvalue": -118.5,
"target_ratio": 0.97,
"target_value": -114.945
} | 12 |
b85bee69825363dbbbe7929bab4cfbbc | 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": 5, "source": 0, "target": 1}, {"capacity": 5, "source": 1, "target": 5}, {"capacity": 2, "source": 1, "target": 8}, {"capac... | {"states": [1022, 1], "expectation_value": -1.0144748885697448, "params": [[-0.07060000000000001], [0.0714]], "bitstrings": ["0000000001", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.0016943444311910037, 0.0018484556973201313], "optimization_time": 9.386195182800293} | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(5) @ Z(1)) + -0.75 * (Z(8) @ Z(1)) + -0.25 * (Z(8) @ Z(5)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(2) @ Z(8)) + -0.75 * (Z(3) @ Z(1)) + -1.25 * (Z(7) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(7)) + -1.0 * (Z(6) @ Z(5)) + -1.25 * (Z(6) @ Z(2)) + -1.25 * (... | 1 | 10 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.007297035954461393) q[0];
rz(-0.06870505992469411) q[0];
rx(-0.060112563523224624) q[1];
rz(-0.47330169858466675) q[1];
rx(0.003479176820274065) q[2];
rz(-0.24157627972142226) q[2];
rx(-0.07590694318418945) q[3];
rz(-0.21675593872997112) q[3];
rx(0.00212537478628... | 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[10] c;
qubit[10] q;
h q[0];
h q[1];
... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIZIIIZI",
"IZIIIIIIZI",
"IZIIZIIIII",
"IIIIZIIZII",
"IZIIIIIZII",
"IIIIIIZIZI",
"IIZIIIZIII",
"IIIIIZIIZI",
"IIIIIZIZII",
"IIZIIZIIII",
"IIIZZIIIII",
"IIIZIIIZII",
"IIIZIIZIII",
"IIZZIIIIII",
"IIIZIZIIII",
"ZIIIIIIIIZ",
"ZIZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ"... | [
-1.25,
-1.25,
-0.75,
-0.25,
-0.75,
-1.25,
-0.75,
-1.25,
-0.75,
-0.25,
-1.25,
-1,
-1.25,
-1.25,
-1.25,
-1.75,
1.5,
-0.25,
-1.25,
-0.25,
0.75,
-1.75,
-1,
0.25,
1.5,
0.5,
0,
1.25
] | 0.980814 | [
-0.007297035954461392,
-0.21075504008301932,
-0.06011256352322462,
-0.3792182136237163,
0.0034791768202740644,
-0.14749279476047153,
-0.07590694318418945,
-0.22381509447334258,
0.0021253747862893177,
-0.4699612607842971,
-0.00011541312371307622,
-0.2622025467787985,
0.12066712387019116,
-0... | {
"n_parameters": 87,
"n_qubits": 10,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 8 |
7bc4dde9a09d0b94c5097b219891d81a | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [31979, 32235], "expectation_value": -18.768838976277035, "params": [-0.0074, -0.0037, 0.3916, 0.40140000000000003, 0.3965, 0.39640000000000003, 0.38820000000000005, 0.38520000000000004, 0.3884, 0.39130000000000004, 0.3966, 0.4037, 0.018600000000000002, 0.0262, 0.2122, 0.2044, 0.3966, 0.39590000000000003, 0.... | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.25 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(... | 13 | 16 | 4 | {"smallest_eigenvalues": [-19.999999999999847], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999815, "smallest_bitstrings": ["1000001000010100"], "largest_eigenvalue": 68.00000000000006} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rz(-0.8856201491506983) q[0];
ry(0.20607187143120437) q[0];
rz(1.691443220073766) q[0];
rz(1.9404906187072166) q[1];
ry(0.12101153113441158) q[1];
rz(-1.8772538795087437) q[1];
rz(-2.137783534785648) q[2];
ry(0.08595900488246716) q[2];
rz(1.6840356586029337) q[2];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] 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... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 0}, {"source": 3, "target": 2}, {"source": 3, "target": 0}, {"source": 2, "target": 0}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIZIIZIII",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZZIIIIII",
"IIIIIIIIIIIZZIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
... | 0.987235 | [
0.11953274834359354,
0.2854334628168601,
-0.11213716823678,
0.2175735915324961,
0.058537607426864216,
-0.2041489905535785,
1.195421164250731,
-0.0853700569336958,
0.21361350790414543,
0.08320735516977537,
-0.038044942888873196,
-0.02371278444846299,
-0.1628380576660834,
0.9476996835334291,... | {
"n_parameters": 22,
"n_qubits": 4,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 5 |
e0b12a2c7bc741941f8e6751916ec58b | 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": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [0, 2047], "expectation_value": -32.1748010691134, "params": [[[0.0019, 1.6097000000000001], [0.0024000000000000002, 0.002], [0.0016, 0.0018000000000000002], [0.0016, 0.0018000000000000002], [0.0022, 0.0018000000000000002], [0.0019, 0.0023], [0.0025, 0.0021000000000000003], [0.002, 0.002], [0.002100000000000... | -3.0 * (Z(0) @ Z(6)) + 1.5 * (Z(9) @ Z(6)) + -2.5 * (Z(9) @ Z(0)) + 1.0 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(9)) + -4.0 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(0)) + -3.5 * (Z(4) @ Z(9)) + -3.0 * (Z(4) @ Z(1)) + 1.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(9)) + -2.0 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(4)) + -3.5 * (Z(8) @ Z(6)) + 0.5 ... | 15 | 11 | 1 | {"smallest_eigenvalues": [-36.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -35.5, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 45.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] 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[0];
rz(-0.5990711346252461) q[0];
cx q[6], q[0];
h q[7];
h q[8];
h q[9];
cx q[6], q[9];
rz(-0.35934203480299026) q[9];
cx q[6], q[9];
cx q[0], q[9];
cx q[6], q[1];
rz(-0.27748704574353666) q[1];
cx q[6]... | 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[11] c;
qubit[11] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2]... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIZ",
"IZIIZIIIIII",
"IZIIIIIIIIZ",
"IIIIZIIIIZI",
"IZIIIIIIIZI",
"IIIIZIZIIII",
"IIIIIIZIIIZ",
"IZIIIIZIIII",
"IIIIIIZIIZI",
"IIIIZZIIIII",
"IZIIIZIIIII",
"IIIIIZIIIZI",
"IIIIIZZIIII",
"IIZIZIIIIII",
"IIZIIIIIIIZ",
"IZZIIIIIIII",
"IIZIIIIIIZI",
"IIZIIIZIIII",
"IIZIIZIII... | [
-3,
1.5,
-2.5,
1,
0.5,
-4,
1,
-3.5,
-3,
1,
0.5,
-2,
-3,
-3.5,
0.5,
0.5,
-3,
1.5,
-3,
-3,
1,
-3,
0.5,
1,
0.5,
-3,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
1
] | 0.534588 | [
-0.5990711346252461,
-0.35934203480299026,
-0.7729348980942637,
-0.27748704574353666,
-0.12755314017111585,
-0.4683875766740482,
-0.5147107319478891,
-0.8485107224764087,
-0.7236834369402876,
-0.9762208539151647
] | {
"n_parameters": 10,
"n_qubits": 11,
"optimal_eigenvalue": -36.5,
"target_ratio": 0.97,
"target_value": -35.405
} | 227 |
b5910a324f048b27c641d80d330b3d22 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 8}, {"weight": 19, "source": 0, "target": 2}, {"weight": 16, "sourc... | {"states": [453, 241], "expectation_value": -19.982205140933583, "params": [[0.0263, 0.0031000000000000003], [-0.0775, -0.0709]], "bitstrings": ["000111010", "100001110"], "total_optimization_steps": 10, "probabilities": [0.005656667291643155, 0.006773413642719639], "optimization_time": 3.303563117980957} | 5.0 * (Z(0) @ Z(3)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(1) @ Z(3)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(7)) + 19.5 * Z(3) + 12.0 * Z(0) + 18.0 * Z(2) + 19.5 * Z(1) + ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-79.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["100001110"], "largest_eigenvalue": 143.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-3.0230528252523254) q[0];
rz(-0.24616927729232785) q[0];
rx(2.726952600020538) q[1];
rz(0.20967712310529762) q[1];
rx(0.16731715026019806) q[2];
rz(0.2179038527878583) q[2];
rx(2.7075712423424703) q[3];
rz(-0.12563495328522567) q[3];
rx(0.5311810871584818) 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] x2;
input float[64] x3;
input float[6... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIZIIIZ",
"IIIZIIIZI",
"IIZIZIIII",
"IZIIIIZII",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
19.5,
12,
18,
19.5,
6.5,
0,
-1,
1,
7.5
] | 0.974507 | [
3.2601324819272612,
-0.0417916395581471,
2.726952600020538,
0.5047827301836354,
0.167317150260198,
2.7075712423424703,
-0.14566130832760596,
0.5311810871584817,
0.8245777335762322,
-0.09258703754343031,
-0.5134090438864464,
0.18344009705858688,
-0.2241314787681522,
3.0467667010793504,
-0... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -59,
"target_ratio": 0.97,
"target_value": -57.23
} | 17 |
fa12f3a697c97a90a7d75ad197dde7b9 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 5}]} | {"states": [10, 42], "expectation_value": -2.3110914501266087, "params": [0.3991, 0.003, 0.0024000000000000002, 0.30310000000000004, 0.401, 0.0041, 0.0063, 0.2235, 0.40890000000000004, 0.007200000000000001, 0.0049, 0.2343, 0.3986, 0.003, 0.002, 0.2962, 0.39930000000000004, 0.0054, -0.0016, 0.3047, 0.40080000000000005, ... | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(2) @ Z(4)) + 0.0 * Z(0) + 0.0 * Z... | 3 | 6 | 4 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["010101"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(2.135653907332281) q[0];
ry(0.07785783286395775) q[0];
rz(-2.461338086738153) q[0];
rz(2.429152376567284) q[1];
ry(0.2252425377262643) q[1];
rz(-1.0510731615663547) q[1];
rz(-1.956988573421869) q[2];
ry(0.14605112814072668) q[2];
rz(0.30051180833493296) q[2];
rz(-3.0... | 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": []} | [
"IIIZIZ",
"IIIIZZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZIIIZ",
"IZZIII",
"IZZIIZ",
"IZIZII",
"ZIIZII",
"ZZIIII",
"ZZIZII",
"IIIIIZ",
"IIIZII",
"IIIIZI",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
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,
0,
-0.75,
-0.75,
0,
-0.75
] | 0.977057 | [
0.23599177523086315,
-0.24128829019517117,
0.08672641127394859,
0.5641813210321281,
0.02724449539707903,
-0.3809606943817887,
0.9600172844814231,
0.10376398558997606,
0.9072997747415072,
-0.031882398092854744,
0.9283660285539568,
-0.18778968286556685,
-0.0006073131649154268,
-0.03282407204... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 26 |
47a87bdf07cc47063498596ffad620cd | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6... | {"states": [15, 1], "expectation_value": -1.0892470124468068, "params": [[0.07050000000000001], [-0.0675]], "bitstrings": ["1110000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.010950359235032125, 0.011891692539043647], "optimization_time": 1.5605223178863525} | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + 3.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(2)) + -1.25 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(3)) + -1.25 * Z(1) + -0.25 * Z(0) + -1.0 * Z(2) + 1.5 * Z(3) + 2.75 * Z(6) + -1.25 * Z(4) + -0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-15.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.75, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 18.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(1.6439167456375596) q[0];
ry(0.02681113321067513) q[0];
rz(-0.8254950939251424) q[0];
rz(-1.6129589340366464) q[1];
ry(0.09679043368465019) q[1];
rz(1.7911833287797307) q[1];
rz(2.746656283512543) q[2];
ry(0.11739870027006258) q[2];
rz(-2.10418036695263) q[2];
rz(3.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[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... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIIZZII",
"ZIIIIIZ",
"ZIIIZII",
"IIZZIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IIZIIII",
"IZIIIII"
] | [
-1.25,
-1.25,
-0.75,
-0.5,
3.5,
-0.75,
-1.25,
-2.5,
-1.25,
-0.25,
-1,
1.5,
2.75,
-1.25,
-0.5
] | 0.98969 | [
0.05613628652638576,
0.28671330987640287,
-0.09774063720559814,
-0.025903018917755954,
-0.021533019811019058,
0.29301895617195256,
0.3191194697274359,
0.19847189148966912,
0.37210421282661466,
-0.10822046162696106,
0.32501415811911316,
1.153468314716328,
-0.08450389839505314,
-0.0480774562... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -15.75,
"target_ratio": 0.97,
"target_value": -15.2775
} | 7 |
a8af5a844c6b7264f669c1b8b9005a26 | 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": 8}, {"capacity": 6, "source": 2, "target": 8}, {"capacity": 1, "source": 3, "target": 1}, {"capacity": 2, "s... | {"states": [251, 255], "expectation_value": -2.329265396803596, "params": [[0.0695, 0.077], [-0.0683, -0.0671]], "bitstrings": ["100000100", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0041424068215224425, 0.004230172545315301], "optimization_time": 3.281989812850952} | 0.25 * (Z(0) @ Z(8)) + -1.5 * (Z(2) @ Z(8)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.5 * (Z(6) @ Z(4)) + -1.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(4)) + -0.75 * (Z(7) @ Z(8)) + -1.5 * (Z(7) @ Z(2)) + -2.0 * Z(8) + -0.25 * Z(0) + -0.5 * Z(2) + 0.75 * Z(3) + -3.25 * Z(1) + 1.0 * Z(4) + -0.... | 1 | 9 | 2 | {"smallest_eigenvalues": [-9.75, -9.75, -9.75, -9.75, -9.75, -9.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -8.75, "smallest_bitstrings": ["100000100", "100000000", "110011100", "110000100", "110000000", "110010100"], "largest_eigenvalue": 17.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.505009769555469) q[0];
h q[1];
ry(-1.6077441895945872) q[1];
h q[2];
ry(0.8284337385535052) q[2];
h q[3];
ry(0.7864209970508521) q[3];
h q[4];
ry(0.7766345099630225) q[4];
h q[5];
ry(0.8161067009306773) q[5];
h q[6];
h q[7];
ry(1.5259056825138972) q[7];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"ZIIIIIIIZ",
"ZIIIIIZII",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZIIZI",
"IIZIZIIII",
"IIIZIIIZI",
"IIIZZIIII",
"ZZIIIIIII",
"IZIIIIZII",
"ZIIIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII"
] | [
0.25,
-1.5,
-0.5,
-0.25,
-1.5,
-0.5,
-1.5,
-1,
-0.75,
-1.5,
-2,
-0.25,
-0.5,
0.75,
-3.25,
1,
-0.5,
2.5,
2.25
] | 0.976042 | [
-1.6077441895945872,
1.5259056825138972,
1.6568674771070104,
1.6322134018613546,
1.5728419941017042,
1.553269019926045,
-1.010019539110938,
0.37603075659380614,
0.32506128830629594,
0.7422913414550457,
-0.5336589698862334,
-0.18940705976798117,
0.2422029102598407,
0.005366032189264451,
0... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -9.75,
"target_ratio": 0.97,
"target_value": -9.4575
} | 1 |
2398b0b8852b758caa629303970b584b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [12, 49], "expectation_value": -1.3463476627082684, "params": [[0.07390000000000001, 0.06620000000000001, 0.0714], [-0.0859, -0.0733, -0.0664]], "bitstrings": ["110011", "001110"], "total_optimization_steps": 10, "probabilities": [0.030907260024325173, 0.03206173634782224], "optimization_time": 6.39966011047... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(1) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["001110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.039254698902790326) q[0];
rz(pi/2) q[0];
ry(0.3648670593836806) q[1];
ry(0.3376361431186225) q[2];
ry(0.37423268336375176) q[3];
ry(0.5746655888699254) q[4];
ry(-0.09537820387184358) q[5];
ry(0.4618259931807873) q[6];
ry(0.43542575300609276) q[7];
ry(0.45015024645... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IZZIII",
"IIIZZI",
"IIZIZI",
"IZIIZI",
"ZIIZII",
"ZIZIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-1.5,
-1,
-0.5
] | 0.9724 | [
0.039254698902790326,
0.3648670593836806,
0.3376361431186225,
0.37423268336375176,
0.5746655888699254,
-0.09537820387184358,
0.4618259931807873,
0.43542575300609276,
0.45015024645460006,
0.02352608316433561,
0.3808695150484027,
-0.32131097767290606,
0.1267658218374237,
-0.03091676333232282... | {
"n_parameters": 152,
"n_qubits": 10,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 36 |
295827ef8e8bc1a59c2d5aefad74f913 | 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": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 1, "target": 4}, {"capac... | {"states": [1022, 1], "expectation_value": -1.743275039022894, "params": [[-0.07150000000000001], [0.07100000000000001]], "bitstrings": ["0000000001", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.0018433523959349592, 0.001939214555896312], "optimization_time": 3.19351863861084} | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(2)) + -1.0 * (Z(8) @ Z(5)) + -1.25 * (Z(3)... | 1 | 10 | 1 | {"smallest_eigenvalues": [-23.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 23.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.1074975055836625) q[0];
rz(-0.24134500490391808) q[0];
rx(-0.002474991455973498) q[1];
rz(-0.4571906006718045) q[1];
rx(-0.05136879397144355) q[2];
rz(-0.34768852534032035) q[2];
rx(0.008294293644839822) q[3];
rz(-0.29806888598817416) q[3];
rx(-0.1030104342503928... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIZIIZI",
"IIIIIZIZII",
"IIIIZIIIZI",
"IIIIZIIZII",
"IIIIZZIIII",
"IIIZIIIIZI",
"IIIZIIIZII",
"IZIIIIIIZI",
"IZIIIIIZII",
"IZIIZIIIII",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIZIIZIII",
"IIZIIIIIZI",
"IIZIIIIZII",
"IIZIZIIIII",
"IIZIIIZIII"... | [
-1.25,
-1.25,
-1,
-1.25,
-0.5,
-0.75,
-0.25,
-0.75,
-0.5,
-0.25,
-0.5,
-0.75,
-1,
-1.25,
-1.25,
-2.25,
-0.75,
-0.25,
-2.5,
-1,
2.5,
-1,
-4.5,
-0.25,
1.25,
-0.25,
1.75,
1,
-1.25,
0.25,
0.5,
1.5
] | 0.970536 | [
-0.10749750558366251,
-0.2797319149155471,
-0.002474991455973498,
-0.366143977228745,
-0.05136879397144355,
-0.3562482834096087,
0.008294293644839822,
-0.10301043425039287,
-0.2281232092623946,
0.12962781785921831,
-0.18351060837852673,
0.1311796410319733,
-0.1056752922990083,
0.0574159178... | {
"n_parameters": 92,
"n_qubits": 10,
"optimal_eigenvalue": -23.75,
"target_ratio": 0.97,
"target_value": -23.037499999999998
} | 3 |
3a47978bfb976fd6248810daacdb4903 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [622, 639], "expectation_value": -3.9902353425461685, "params": [[0.164, 0.1569, -0.0349], [-0.1718, -0.1665, -0.0906]], "bitstrings": ["0110010001", "0110000000"], "total_optimization_steps": 20, "probabilities": [0.008908039240282653, 0.008908039240282661], "optimization_time": 9.816739797592163} | -0.5 * (Z(9) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(9)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(4)) + 1.0 * (Z(8) @ Z(7)) + -0.... | 1 | 10 | 3 | {"smallest_eigenvalues": [-6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.0, "smallest_bitstrings": ["0111001101", "0111001011", "0110101101", "0110101011", "0110010001", "0110000000"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.6566433803157805) q[0];
rz(-0.5635484037530434) q[0];
rx(-0.08458123676006576) q[1];
rz(1.1774379964221435) q[1];
rx(0.05460809018472292) q[2];
rz(-0.2485327778063438) q[2];
rx(2.1111802145115894) q[3];
rz(0.24582046501630292) q[3];
rx(0.23032023843005026) 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": 5} | {"circuits": [], "gradients": []} | [
"ZIIIIIZIII",
"IIIIIZZIII",
"ZIIIIZIIII",
"IIIIZIZIII",
"ZIIIZIIIII",
"IIIIZZIIII",
"IIZIIIZIII",
"IIZIIZIIII",
"ZIIZIIIIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IZIIIIZIII",
"IZIIIZIIII",
"IZZIIIIIII",
"IZIZIIIIII",
"ZIIIIIIIIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIIIIIZZI",
"IIIIIIZIII"... | [
-0.5,
1,
-0.5,
0.5,
-1,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
-0.5,
1,
-0.5,
-0.5,
0.5,
0.5,
-0.16666666666666666,
1,
-2,
1,
2,
0.5,
0.5,
0.5,
0.8333333333333334,
-0.3333333333333333,
-0.3333333333333333
] | 0.972111 | [
1.6566433803157805,
-0.19670393659137253,
-0.08458123676006576,
1.1774379964221435,
0.05460809018472292,
-0.2485327778063438,
2.1111802145115894,
0.24582046501630292,
0.23032023843005026,
0.31345605388271675,
1.0081605341475985,
-0.16074160645590554,
0.020028144123884657,
0.288359995550519... | {
"n_parameters": 51,
"n_qubits": 10,
"optimal_eigenvalue": -6.666666666666666,
"target_ratio": 0.97,
"target_value": -6.466666666666666
} | 34 |
a4daa78eacadb4897b1342c199df0ce1 | 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": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [21, 104], "expectation_value": -0.6117669243963367, "params": [[0.0663, 0.0654, 0.051300000000000005, -0.041], [-0.0526, -0.0654, -0.059300000000000005, -0.0228]], "bitstrings": ["1101010", "0010111"], "total_optimization_steps": 10, "probabilities": [0.01241284973599066, 0.012665966669758373], "optimizatio... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(4) + 0.0 * Z(1) + -1.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.0, "smallest_bitstrings": ["1001110", "1101001", "1101010", "0011101", "1001101", "0010111", "0011110", "0111001", "0111010"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.0504122744155853) q[0];
rz(2.314852764410956) q[0];
rx(-0.011423650263074667) q[1];
rz(2.3180126298646684) q[1];
rx(0.9127929599360881) q[2];
rz(1.576066005134642) q[2];
rx(1.2595759082637357) q[3];
rz(1.0869255396552848) q[3];
rx(1.5704424721284738) q[4];
rz(1.785... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIZIIZI",
"IIIZZII",
"IIZZIII",
"IZIZIII",
"ZIIZIII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-0.5,
0,
-1.5,
-0.5,
-0.5
] | 0.970219 | [
0.05041227441558531,
0.744056437616059,
-0.011423650263074667,
0.747216303069772,
0.9127929599360882,
0.005269678339745593,
1.2595759082637359,
-0.4838707871396123,
1.570442472128474,
0.2150835953800506,
0.15106313476968702,
0.11618529990197637,
-0.08431961784168296,
-0.45410965028763484,
... | {
"n_parameters": 37,
"n_qubits": 7,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 19 |
921479f58efe64e2060ecee8a590e959 | 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": 8}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 2, "s... | {"states": [0, 255], "expectation_value": -9.367354338738028, "params": [[[0.0009000000000000001, 0.647], [-0.0026000000000000003, 0.0004], [-0.0027, -0.0026000000000000003], [-0.0023, -0.0029000000000000002], [-0.0029000000000000002, -0.0031000000000000003], [-0.0031000000000000003, -0.0028], [-0.0031000000000000003, ... | 0.25 * (Z(0) @ Z(8)) + -0.5 * (Z(1) @ Z(8)) + -0.5 * (Z(6) @ Z(8)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(8)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(1... | 15 | 9 | 2 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
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[8], q[0];
rz(-0.46842544332937147) q[0];
cx q[8], q[0];
rz(0.004089354776996235) q[0];
rx(-1.4500809729158126) q[0];
cx q[8], q[1];
rz(-0.0023118952614940014) q[1];
cx q[8], q[1];
cx q[8], q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"ZIIIIIIIZ",
"ZIIIIIIZI",
"ZIZIIIIII",
"IIZIIIIZI",
"ZZIIIIIII",
"IZIIIIIZI",
"IZZIIIIII",
"IZIIIIZII",
"ZIIIIZIII",
"IIZIIZIII",
"IIIIIZZII",
"IZIIZIIII",
"ZIIZIIIII",
"IIIZIIIZI",
"IIZZIIIII",
"IZIZIIIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"ZIIIIIIII",
"IIIIIIIIZ",
"... | [
0.25,
-0.5,
-0.5,
-1,
-0.5,
-0.25,
-0.5,
-0.75,
-0.5,
-0.5,
-0.5,
-0.75,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-2.25,
-0.25,
0.25,
1.25,
-1.25,
0.25,
-1,
0,
3
] | 0.793137 | [
-0.46842544332937147,
-0.0023118952614940014,
-1.6382083687840676,
0.004089354776996218,
-0.02684876344883808,
-1.57569572524247,
-1.3113526099661215,
-1.5684994150240457,
-1.5661579311887162,
1.57184561806844,
-1.4500809729158126
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 250 |
b6e0c3c301837e1bade2ecec75b88187 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [77, 79], "expectation_value": -45.856230564970645, "params": [[[0.8959, 0.4893], [0.2906, 0.40490000000000004], [0.9006000000000001, 0.903], [0.0049, 0.8942], [-0.519, 0.6861], [0.34740000000000004, 0.8954000000000001], [0.0935, 0.9016000000000001], [0.16290000000000002, 0.8882], [-0.8580000000000001, 0.874... | 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(5) @ Z(1)) + 7.0 * (Z(0) @ Z(6)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(8) @ Z(1)) + 7.0 * (Z(8) @ Z(5)) + 7.0 * (Z(8) @ Z(7)) + 18.0 * Z(1) + 9.5 * Z(2) + -3.0 * Z(3) + 14.5 * Z(5) + 1.5 * Z(6) + -6.5 * Z(0) + 12.5 * Z(7) + 15.0 * Z(8) + -13.0 * Z(4) | 15 | 9 | 2 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.5, "smallest_bitstrings": ["110110000"], "largest_eigenvalue": 147.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.0872231744192288) q[0];
rz(pi/2) q[0];
ry(0.08858792232188245) q[1];
ry(0.6995782202600139) q[2];
ry(0.2043813744789022) q[3];
ry(-0.13567306135494012) q[4];
ry(0.6143652276288366) q[5];
ry(0.5644113377415029) q[6];
ry(0.5228241574866417) q[7];
ry(0.591275410846392... | 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, 8], \"right_nodes\": [9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIZIIIZI",
"IIZIIIIIZ",
"IZIIIIIZI",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIZIIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
18,
9.5,
-3,
14.5,
1.5,
-6.5,
12.5,
15,
-13
] | 0.971168 | [
0.0872231744192288,
0.08858792232188245,
0.6995782202600139,
0.2043813744789022,
-0.13567306135494012,
0.6143652276288366,
0.5644113377415029,
0.5228241574866417,
0.5912754108463921,
-0.4122014800606581,
-0.048314224454686826,
0.4551848680413778,
0.2532073355770716,
0.39554507819663887,
... | {
"n_parameters": 108,
"n_qubits": 9,
"optimal_eigenvalue": -78.5,
"target_ratio": 0.97,
"target_value": -76.145
} | 38 |
0f435eed505f807fb8dc44643dfd43ce | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target"... | {"states": [89, 101], "expectation_value": -0.2553654746778421, "params": [[-0.0251, -0.0627, -0.06280000000000001, -0.0641], [-0.0316, 0.0562, 0.0626, 0.0674]], "bitstrings": ["0100110", "0011010"], "total_optimization_steps": 10, "probabilities": [0.011911077631613963, 0.011911077631613965], "optimization_time": 11.2... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375, -2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.375, "smallest_bitstrings": ["1010010", "0100110", "0011010", "1000011", "0010110", "1000110"], "largest_eigenvalue": 4.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.366669122515066) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.366669122515066) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.366669122515066) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.366669122515066) q[3];
cx q[0], q[3];
h 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IIZZIIZ",
"IIIZIZI",
"IZIIIZI",
"ZIIIIZI",
"IZIZIII",
"ZIIZIII",
"ZZIIIII",
"IZIZIZI",
"ZIIZIZI",
"ZZIIIZI",
"ZZIZIII",
"ZZIZIZI",
"IIZIZII",
"ZIIIZII",
"ZIZIIII",
"ZIZIZII",
"IIIIIIZ",
"III... | [
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,
0.125,
0,
0.125,
0,
-0.625,
0.125
] | 0.608376 | [
0.366669122515066,
0.6186240853904678,
-0.8045916182441789
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 106 |
-3483292901488262061 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 3, 4], [0, 2, 4], [1, 3], [1, 5]]} | {"states": [50, 39], "expectation_value": -1.4777053795599935, "params": null, "bitstrings": ["001101", "011000"], "total_optimization_steps": 36, "probabilities": [0.042431735019474205, 0.8187730203663679], "optimization_time": 29.611541986465454} | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.16666666666666663 * Z(3) + 0.3333333333333333 * Z(2) + 0.3333333333333333 * Z(4) + 0.... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.6666666666666667, -1.6666666666666667], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.6666666666666663, "smallest_bitstrings": ["011000", "010010"], "largest_eigenvalue": 2.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.23314516300498508) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(0.23314516300498508) q[4];
cx q[3], q[4];
cx q[2], q[4];
cx q[3], q[1];
rz(1.0204006350121293) q[1];
cx q[3], q[1];
rz(0.233145163004985) q[3];
rx(-0.79... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.2292) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIZZII",
"IZZIII",
"IZIZII",
"IIIZIZ",
"IZIIIZ",
"IIZIZI",
"ZIIIZI",
"IIZIII",
"IIIZII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"ZIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666663,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0,
0
] | 0.614009 | [
0.23314516300498508,
0.6299947280714575,
1.0204006350121293,
-0.04128639051853561,
-0.7911656934646532
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -1.6666666666666667,
"target_ratio": 0.97,
"target_value": -1.6166666666666667
} | 140 |
4241967995058416964 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 8], [3, 4], [4, 5], [0, 6], [8, 4], [2, 6], [2, 7], [1, 6], [8, 3], [4, 6], [2, 3], [8, 1], [5, 7], [8, 2], [1, 7], [6, 7], [1, 2], [8, 6], [0, 2], [4, 7], [2, 4], [1, 5], [8, 5], [0, 3]]} | {"states": [332, 108], "expectation_value": -4.205700453568647, "params": null, "bitstrings": ["010110011", "110010011"], "total_optimization_steps": 63, "probabilities": [0.09588526251008275, 0.7006688370525478], "optimization_time": 132.67534470558167} | 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["001101100", "110010011"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
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[8], q[0];
rz(-0.38981300252156104) q[0];
cx q[8], q[0];
cx q[8], q[3];
rz(-0.38981300252156104) q[3];
cx q[8], q[3];
cx q[0], q[3];
rz(-0.38981300252156104) q[3];
cx q[0], q[3];
cx q[8], q[4];
... | 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[6], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... | [
"ZIIIIIIIZ",
"ZIIIIZIII",
"IIIIIZIIZ",
"ZIIIZIIII",
"IIIIZZIII",
"ZIIZIIIII",
"IIIZZIIII",
"ZIZIIIIII",
"IIZIIIIIZ",
"IIZIZIIII",
"ZIIIIIZII",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIZIIIZII",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"IZIIIIZII",
"ZIIIIIIZI",
"IIIZIIIZI",
"... | [
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,
0,
0,
0,
0,
0,
0,
0
] | 0.409931 | [
-0.38981300252156104,
1.70090733691838e-8,
0.5693016052254498
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 90 |
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": -0.04201131899031936, "params": [[-0.0339], [0.035500000000000004]], "bitstrings": ["11000000", "11100110"], "total_optimization_steps": 10, "probabilities": [0.004086984968226935, 0.004087303745712418], "optimization_time": 1.7980256080627441} | -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 | 1 | {"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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1],... | {"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 |
5d969f3e881e7d52d3f80c9e7cdea154 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 8}, {"sour... | {"states": [393, 425], "expectation_value": -2.7917136204389097, "params": [1.6744, 0.0077, 1.8079, 0.0098, 0.36010000000000003, 0.009000000000000001, 1.6526, 0.0016, 0.3534, 0.0011, 1.8079, 0.004200000000000001, -0.0193, 0.009000000000000001, 0.47300000000000003, 0.0085, 1.7984, 0.0031000000000000003, 0.00520000000000... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + -0.5 * Z(4) + -0.5 * Z(0) + -0.5 * Z(7) + -1.0 * Z(6) + 0.0 * Z(1) + -0.5 * Z(3) + -0.5 * Z(2) + -0.5 * Z(8) + -0.5 * Z(5) | 3 | 9 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["001010110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(2.548661017275805) q[0];
ry(2.8204443804761508) q[0];
rz(-0.3926590773711194) q[0];
rz(-1.7381528345470052) q[1];
ry(0.10806398667038598) q[1];
rz(1.3405713084973314) q[1];
rz(1.6904414073473593) q[2];
ry(0.3583474331948507) q[2];
rz(-1.664290362310287) q[2];
rz(-2.5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IZIIIIIIZ",
"IIZIIIIZI",
"IZIIIZIII",
"IIIIIZZII",
"ZIZIIIIII",
"ZIIIIIZII",
"IIIZZIIII",
"IIZZIIIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIZIIIIII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIIIZII",
"ZIIIIIIII",
"IIIZIIIII"
] | [
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,
0,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.971017 | [
1.6584670225984464,
0.2744401593360405,
-0.054796073971493,
-0.3342199425355629,
0.1393264030634095,
0.19248667988857138,
1.7266493056081653,
0.07752303053604856,
0.13883984395081614,
0.709969479060952,
-0.10139344389072638,
0.6392820809710525,
1.8977995924211457,
0.09494141396396726,
-0... | {
"n_parameters": 32,
"n_qubits": 9,
"optimal_eigenvalue": -65,
"target_ratio": 0.97,
"target_value": -63.05
} | 13 |
2265773524875199093 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 3, 6], [0, 3, 5, 7], [3, 4, 6], [2, 3, 5], [0, 2, 4, 6, 7], [1, 2, 5, 6, 7], [0, 5, 6], [0, 1, 3, 4, 7], [1, 2, 4, 5, 6]]} | {"states": [178, 179], "expectation_value": -0.07301666303057518, "params": [[-0.057100000000000005], [0.07300000000000001]], "bitstrings": ["01001101", "01001100"], "total_optimization_steps": 10, "probabilities": [0.004097899630812828, 0.0041075918500265395], "optimization_time": 1.142676591873169} | 0.21666666666666667 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.26666666666666666 * (Z(6) @ Z(1)) + 0.13333333333333333 * (Z(0) @ Z(3)) + 0.05 * (Z(0) @ Z(1)) + 0.21666666666666667 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(3)) + 0.1 * (Z(5) @ Z(1)) + 0.26666666666666666 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(0)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.1833333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.05, "smallest_bitstrings": ["01001100"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(3.0302211378823847) q[0];
rz(0.38986256431241634) q[0];
rx(0.9901294870633957) q[1];
rz(-0.4599325465721708) q[1];
rx(3.1205215740047776) q[2];
rz(-1.0797676046551625) q[2];
rx(3.0772457613832853) q[3];
rz(-0.1021472217222326) q[3];
rx(0.16005137649007184) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZI",
"IZIIZIII",
"IZIIIIZI",
"IIIIZIIZ",
"IIIIIIZZ",
"IZIIIIIZ",
"IIZIZIII",
"IIZIIIZI",
"IZZIIIII",
"IIZIIIIZ",
"ZIIIZIII",
"ZIIIIIZI",
"ZZIIIIII",
"ZIIIIIIZ",
"ZIZIIIII",
"IIIZZIII",
"IIIZIIZI",
"IZIZIIII",
"IIIZIIIZ",
"IIZZIIII",
"ZIIZIIII",
"IIIIZZII",
"IIIIIZZ... | [
0.21666666666666667,
0.3333333333333333,
0.26666666666666666,
0.13333333333333333,
0.05,
0.21666666666666667,
0.25,
0.1,
0.26666666666666666,
0.25,
0.13333333333333333,
0.1,
0.1,
0.18333333333333335,
0.13333333333333333,
0.21666666666666667,
0.1,
0.26666666666666666,
0.1,
0.05,... | 0.972395 | [
3.0302211378823847,
0.38986256431241634,
0.9901294870633957,
-0.4599325465721708,
3.1205215740047776,
-1.0797676046551625,
3.0772457613832853,
-0.1021472217222326,
0.16005137649007184,
0.6695647049855737,
0.25424515063925823,
0.6989940805224222,
2.9787910205294734,
0.4860419487261332,
2.... | {
"n_parameters": 16,
"n_qubits": 8,
"optimal_eigenvalue": -2.1833333333333336,
"target_ratio": 0.97,
"target_value": -2.1178333333333335
} | 19 |
74f3db266dbfc29b2e3165b97e91cad0 | 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": 6, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [74, 11], "expectation_value": -11.653586946764156, "params": null, "bitstrings": ["0110101", "1110100"], "total_optimization_steps": 45, "probabilities": [0.11460216893613875, 0.7884167124824446], "optimization_time": 43.12079191207886} | -1.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.25 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 3.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -2.25 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.25 * Z(4) + 0... | 1 | 7 | 2 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["1110100"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.04184615944811212) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.45664904095762016) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.12895850687487254) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.12895850687487254) q[4];
cx q... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"IZIIZII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
-1.5,
-0.25,
-1.25,
-1.25,
-1.25,
-0.5,
3.25,
-1.25,
-0.75,
-1.5,
-0.75,
-2.25,
-0.25,
-1.75,
1.25,
0.75,
0,
2.25
] | 0.970066 | [
-0.04184615944811212,
0.45664904095762016,
0.12895850687487254,
-0.03723472961299448,
-0.21737936292996754,
0.029373184406209597,
0.6374450655047218,
0.5801198435909705,
0.9287483803293076,
-1.0246339813489909,
-0.8274406081529805,
-1.1072203716599882,
1.4433797659572527,
-0.16463148373233... | {
"n_parameters": 37,
"n_qubits": 7,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 114 |
-4269499404609570196 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 2, 11, 7], [1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12], [1, 2, 3, 6, 7, 9, 10], [0, 1, 2, 3, 4, 6, 8, 9, 10, 11], [0, 4, 5, 6, 8, 9, 10, 11, 12], [0, 2, 4, 5, 6, 8, 11], [1, 3, 4, 5, 8, 9, 10, 11, 12], [0, 1, 2, 3, 4, 5, 6, 7, 8, 12], [3, 4, 5, 6, 8, 11]... | {"states": [7150, 7839], "expectation_value": -1.9111412614788579, "params": [[0.3788], [-0.37870000000000004]], "bitstrings": ["0010000010001", "0000101100000"], "total_optimization_steps": 40, "probabilities": [0.0005374320065490826, 0.0005634464507514753], "optimization_time": 56.617753744125366} | 0.16269841269841268 * (Z(0) @ Z(2)) + 0.13845598845598844 * (Z(11) @ Z(2)) + 0.14603174603174604 * (Z(11) @ Z(0)) + 0.16067821067821067 * (Z(7) @ Z(2)) + 0.21111111111111108 * (Z(7) @ Z(0)) + 0.12575757575757576 * (Z(7) @ Z(11)) + 0.06623376623376624 * (Z(1) @ Z(2)) + 0.03611111111111111 * (Z(1) @ Z(0)) + 0.05909090909... | 1 | 13 | 1 | {"smallest_eigenvalues": [-2.7572871572871573], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.7541125541125533, "smallest_bitstrings": ["0000101100000"], "largest_eigenvalue": 15.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.02496795477387486) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[2], q[11];
rz(0.04382286675581327) q[11];
cx q[2], q[11];
cx q[0], q[11];
rz(0.003965656418908749) q[11];
... | 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": []} | [
"IIIIIIIIIIZIZ",
"IZIIIIIIIIZII",
"IZIIIIIIIIIIZ",
"IIIIIZIIIIZII",
"IIIIIZIIIIIIZ",
"IZIIIZIIIIIII",
"IIIIIIIIIIZZI",
"IIIIIIIIIIIZZ",
"IZIIIIIIIIIZI",
"IIIIIZIIIIIZI",
"IIIIIIIIZIZII",
"IIIIIIIIZIIIZ",
"IZIIIIIIZIIII",
"IIIIIZIIZIIII",
"IIIIIIIIZIIZI",
"IIIIIIIZIIZII",
"IIIIIIIZIII... | [
0.16269841269841268,
0.13845598845598844,
0.14603174603174604,
0.16067821067821067,
0.21111111111111108,
0.12575757575757576,
0.06623376623376624,
0.03611111111111111,
0.05909090909090909,
0.06782106782106782,
0.09956709956709955,
0.10714285714285715,
0.1301226551226551,
0.0535353535353535... | 0.9703 | [
0.02496795477387486,
0.04382286675581327,
0.003965656418908749,
0.03290115357430926,
0.02980355027102055,
-0.03197532548089523,
-0.14258548876369775,
-0.028092734006359893,
0.0028589640451823577,
-0.02213646563346635,
0.00048147333669568484,
-0.05264857666051529,
0.04252954104291835,
0.044... | {
"n_parameters": 71,
"n_qubits": 13,
"optimal_eigenvalue": -2.7572871572871573,
"target_ratio": 0.97,
"target_value": -2.6745685425685424
} | 283 |
c69798a15730b7afdff62476bc09c790 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": ... | {"states": [896, 903], "expectation_value": -1.278442723007192, "params": [[-0.0558], [0.0609]], "bitstrings": ["0001111111", "0001111000"], "total_optimization_steps": 10, "probabilities": [0.001482479368283818, 0.0015400436926181428], "optimization_time": 2.5754358768463135} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(4) @ Z(5)) + 1.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(4)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -2.0 * Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["0001111000"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.026775749304552045) q[0];
h q[1];
h q[2];
h q[3];
ry(-0.06287116732485887) q[3];
h q[4];
ry(-0.06287116732485887) q[4];
h q[5];
ry(-1.6381614045801203) q[5];
h q[6];
cx q[6], q[3];
ry(0.06287116732485887) q[3];
cx q[6], q[3];
cx q[6], q[4];
ry(0.062871167... | 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[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIZIZIIII",
"IIIIZIZIII",
"IIIIIZZIII",
"IIIZIIZIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIIIZIII",
"IZIIIIIIII"... | [
-1.5,
-1.5,
0.5,
-2.5,
1.5,
-2.5,
-2.5,
-2.5,
-2.5,
-1.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
-2,
-2,
-2,
2,
0.5,
0.5,
0.5
] | 0.97435 | [
-0.12574233464971774,
-1.6318821999867987,
-1.2446033838002997,
-1.6381614045801203,
-0.05396021426002735,
-0.08037915858165909,
0.027445160448425533,
-0.05355149860910409,
0.052829950916909216,
0.02404107806473335,
0.0641636303467099,
-0.06096424731402752,
-0.059065252480117444,
-0.004089... | {
"n_parameters": 61,
"n_qubits": 10,
"optimal_eigenvalue": -23,
"target_ratio": 0.97,
"target_value": -22.31
} | 120 |
38980211450f7282c15e0ab435ff2cd6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 3}, {"capaci... | {"states": [62, 1], "expectation_value": -0.21035186745969273, "params": [[-0.0781], [0.07]], "bitstrings": ["000001", "111110"], "total_optimization_steps": 10, "probabilities": [0.018041487720343925, 0.019535374609124877], "optimization_time": 1.4008207321166992} | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(3) + 1.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.18057532849171046) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.18057532849171046) q[3];
cx q[2], q[3];
h q[4];
cx q[0], q[4];
rz(0.15240128173497133) q[4];
cx q[0], q[4];
cx q[4], q[1];
rz(0.4649246212783777) q[1];
cx q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IZIIIZ",
"IZIIZI",
"IIZZII",
"IZZIII",
"IIZIZI",
"ZIIZII",
"ZIIIIZ",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIZIII",
"ZIIIII"
] | [
-0.75,
-0.25,
-0.5,
-0.75,
-0.25,
-1,
-0.25,
1.25,
0.25,
-0.25,
0,
-0.5,
-0.5,
1
] | 0.970699 | [
0.18057532849171046,
0.15240128173497133,
0.4649246212783777,
-0.16816126659960623,
-0.38958804491802196,
0.6933538979276795,
0.5762777327646811,
-0.6736008592295458,
1.3898734088318323,
0.35834720452177266,
0.2611471404449328,
0.6354636015951395,
-0.12256652965784247,
-0.6716227081292513,... | {
"n_parameters": 25,
"n_qubits": 6,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 144 |
1255058835107117913 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 7], [0, 2], [1, 6], [3, 5]]} | {"states": [58, 46], "expectation_value": -1.9542022789588303, "params": null, "bitstrings": ["11000101", "11010001"], "total_optimization_steps": 59, "probabilities": [0.050406988492916874, 0.7485113925390797], "optimization_time": 61.181602478027344} | 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.0 * Z(7) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(3) | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -1.0, "smallest_bitstrings": ["10000111", "11000101", "11010001", "00111010", "11011000", "01100101", "00110011", "01101100", "01110001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(1.575936204355747) q[0];
cx q[2], q[0];
rz(-0.06896248482419587) q[0];
rx(-0.8005003844207143) q[0];
rz(-0.06896248482419587) q[2];
rx(-0.8005003844207143) q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[3];
rz(1.575936204355747) q[3];... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[4], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"ZIIZIIII",
"IIIIIZIZ",
"IZIIIIZI",
"IIZIZIII",
"ZIIIIIII",
"IIIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIZIIIII",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.994709 | [
1.575936204355747,
-0.06896248482419622,
-0.8005003844207141
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 16 |
86d59c6096ff3db0c9f906cf39a44678 | 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": 6}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [70, 74], "expectation_value": -3.488827234309525, "params": null, "bitstrings": ["0111001", "0110101"], "total_optimization_steps": 30, "probabilities": [0.06089263191327698, 0.86370083709651], "optimization_time": 29.858007669448853} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + 0.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(5) + -1.0 * Z(6) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["0100111", "0111001", "0110101", "0101110", "0101011", "0111100"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.05049139946254623) q[0];
rz(-0.09933335044222243) q[0];
ry(0.27528646429191717) q[1];
ry(0.6107330137258111) q[2];
ry(0.3789950043204468) q[3];
ry(-0.1610920758970278) q[4];
ry(0.12498998550055158) q[5];
ry(0.27487493384819495) q[6];
ry(-0.12526634167563194) q[7];
... | 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",
"IZIIZII",
"ZIIIIZI",
"ZIIZIII",
"ZIZIIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-0.5,
-0.5,
-1,
-0.5,
-0.5
] | 0.970031 | [
0.05049139946254623,
0.27528646429191717,
0.6107330137258111,
0.3789950043204468,
-0.1610920758970278,
0.12498998550055158,
0.27487493384819495,
-0.12526634167563194,
-0.19866670088444485,
-0.1323850263270601,
0.10942892745411728,
-0.022358684175951493,
0.11800745900973109,
-0.005700302272... | {
"n_parameters": 122,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 8 |
87c3ced1ef7832360d99a2d1828a4d93 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [10, 12], "expectation_value": -4.474105370885989, "params": null, "bitstrings": ["110101", "110011"], "total_optimization_steps": 15, "probabilities": [0.07397893941132597, 0.9005734987526041], "optimization_time": 13.64511775970459} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z... | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["111010", "011011", "110101", "110011"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.4782477501473996) q[0];
h q[1];
ry(-1.5459535955314039) q[1];
h q[2];
ry(1.4800481485142103) q[2];
h q[3];
h q[4];
ry(-0.5454937758325291) q[4];
cx q[3], q[4];
ry(0.5454937758325291) q[4];
cx q[3], q[4];
ry(1.138506081996272) q[3];
cx q[2], q[3];
ry(-0.287... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-1,
-1.5,
-1.5,
-0.5
] | 0.996543 | [
-1.5459535955314039,
-1.4782477501473996,
-1.4186720615587136,
1.4800481485142103,
-1.0909875516650582,
0.8505079669655212,
-0.6834200403916963,
0.5759962300615015,
-0.4282561884336213,
-0.15321027442284385,
0.11168667375280134,
-0.09145484919133856,
-0.015716916398529537
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
fbd951d8e0967f93aa199e767c7a8404 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [71, 69], "expectation_value": -0.2966853911920998, "params": [[0.060200000000000004], [-0.0587]], "bitstrings": ["0111000", "0111010"], "total_optimization_steps": 10, "probabilities": [0.008747866724616228, 0.008776906827673143], "optimization_time": 1.7560994625091553} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * Z(1) + -1.0 * Z(0) + -1.5 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["0111010", "0111001"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.5300287133987427) q[0];
h q[1];
ry(-1.601201405582836) q[1];
rz(-pi) q[2];
ry(-0.004490021784035978) q[2];
rz(-pi) q[3];
ry(-0.004490021784035978) q[3];
h q[4];
ry(1.5300287133987427) q[4];
h q[5];
ry(-0.6154311923570868) q[5];
h q[6];
cx q[6], q[5];
ry(0.6... | 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;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIZII",
"IZIIIZI",
"IZIZIII",
"ZIIIIZI",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"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,
-2.5,
-1,
-1.5,
-1.5,
-0.5,
-1,
-1.5
] | 0.993424 | [
-1.601201405582836,
-1.5801356018621757,
1.5300287133987427,
-1.2308623847141735,
0.7050686646935291,
-0.4688789932560197,
0.2589798163109108,
-0.32311162882807265,
0.24598881445691434,
-0.11293343308546688,
0.24318327711601848,
0.027923472377967398,
0.00969850656648575,
-0.036440781251569... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 1 |
b93e7e87e2621c92c7ba04b041c49bf3 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [8, 41], "expectation_value": -2.5276976393340513, "params": [[[1.6109, 0.0886], [0.0021000000000000003, 0.09380000000000001], [1.5949, 0.7328], [0.1489, 0.7303000000000001], [1.4007, -0.49010000000000004], [0.1022, -0.4914]]], "bitstrings": ["110111", "010110"], "total_optimization_steps": 160, "probabiliti... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + -1.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z(5) | 15 | 6 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["010110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.18095492688154305) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.18095492688154305) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.18095492688154305) q[2];
cx q[3], q[2];
rz(0.8074839178710835) q[3];
rx(1.411180127000671) q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
ry(x0) q[0];
ry(x1... | null | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IZIIIZ",
"IIZIZI",
"IIZZII",
"IZIZII",
"IIIZZI",
"ZZIIII",
"ZIIIZI",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1,
-1,
-0.5
] | 0.923411 | [
-0.18095492688154305,
0.8074839178710835,
-0.9410650216682992,
1.4111801270006712,
-0.7361957294362335,
0.4420026896995149,
0.28479132416285424,
1.0392592742276436,
-0.5347775873994031,
1.322723886363652,
-1.2976651434758002,
0.9340766908427282,
-0.730793540399182,
0.9791307353720787,
-1... | {
"n_parameters": 16,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 419 |
db784e556d41a28cc9d16f62f2178a6a | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4},... | {"states": [0, 2047], "expectation_value": -30.194848022425475, "params": [[[0.0019, 1.6142], [0.0019, 0.002], [0.0018000000000000002, 0.0021000000000000003], [0.002, 0.0018000000000000002], [0.0023, 0.0022], [0.0018000000000000002, 0.0023], [0.0024000000000000002, 0.0022], [-0.0034000000000000002, 0.0019], [0.0022, 0.... | -2.0 * (Z(0) @ Z(3)) + -3.5 * (Z(4) @ Z(3)) + -3.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + -3.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -3.5 * (Z(2) @ Z(4)) + -1.5 * (Z(2) @ Z(1)) + -2.5 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -3.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 ... | 15 | 11 | 1 | {"smallest_eigenvalues": [-34.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.5, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 29.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.79715616968297) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.5309146256352913) q[4];
cx q[3], q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.16724948337585963) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.16724948337585963)... | 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[11] c;
qubit[11] q;
ry(x0) q[0];
ry(x0) q[1];
ry(x1) q[2]... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IIIIIIZZIII",
"IIIIIIZIIIZ",
"IIIIIIIZIZI",
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIIIIIIZZII",
"IIIIIIIIZIZ",
"IIIIIIZIZII",
"IIIIIIIIZZI",
"IIIIZIIZIII",
"IIIIZIIIIIZ",
"IIIIZIZIIII",
"IIIIZIIIIZI",
"IIIIZIIIZII",
"IIIIIZIZIII",
"IIIIIZIIIIZ",
"IIIIIZZIIII",
"IIIIIZIII... | [
-2,
-3.5,
-3.5,
0.5,
0.5,
-3.5,
0.5,
0.5,
-3.5,
-1.5,
-2.5,
1,
-3.5,
0.5,
0.5,
1,
0.5,
-3.5,
0.5,
0.5,
-2,
-2,
-2.5,
0.5,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
0.5,
-1.5,
1
] | 0.53924 | [
0.79715616968297,
0.5309146256352913,
0.16724948337585963,
0.7735541608527189,
0.6889658234023546,
0.32755239391896107,
0.9980181675396199
] | {
"n_parameters": 7,
"n_qubits": 11,
"optimal_eigenvalue": -34.5,
"target_ratio": 0.97,
"target_value": -33.464999999999996
} | 179 |
5bfd79024282ae69c62758a244a2de56 | kclique | 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": 5}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [56, 7], "expectation_value": -3.1102925497721188, "params": [[0.0689, 0.0349, -0.0673], [-0.0819, -0.0601, 0.0109]], "bitstrings": ["000111", "111000"], "total_optimization_steps": 10, "probabilities": [0.02675545658185016, 0.02755986355515251], "optimization_time": 6.10222053527832} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 1.75 * (Z(5) @ Z(3)) + 1.75 * ... | 11 | 6 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(3.040705587759774) q[0];
ry(3.0322761206209288) q[0];
rz(0.23746657912877067) q[0];
rz(-0.5485384081350269) q[1];
ry(0.03463465039766057) q[1];
rz(1.8086014627808424) q[1];
rz(2.1740019225107847) q[2];
ry(2.742027400286282) q[2];
rz(-0.45482682963069987) q[2];
rz(0.8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
2,
2,
2,
2,
2,
2,
2,
1.75,
2,
1.75,
1.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.25,
-0.75
] | 0.974004 | [
1.0529037450256176,
0.06477150500217821,
0.0632023087334098,
0.46017332254292537,
1.2192432119969236,
0.14088225722938502,
1.1314918741657554,
-0.05745195682464036,
-0.04240668812804869,
-0.5477397576739919,
-0.046155027306700576,
-0.6332603826055265,
1.1415462481792484,
-0.100403553526293... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 15 |
668f90355fba57bcb4fb60386433c90f | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 10, "source": 0, "... | {"states": [106, 107], "expectation_value": -26.952698639577534, "params": null, "bitstrings": ["10010101", "10010100"], "total_optimization_steps": 100, "probabilities": [0.062152393794066674, 0.2689894451535224], "optimization_time": 140.5009515285492} | 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) @ Z(5)) + 5.0 * Z(0) + 7.5 * Z(1) + 14.0 * Z(2) + 13.0 * Z(4) + 2.0 * Z(3) + 13.5 * Z(6) + 4.5 * Z(5) + 13.0 *... | 1 | 8 | 2 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["10010100"], "largest_eigenvalue": 117.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(-0.03151214468051604) q[1];
cx q[0], q[1];
h q[2];
cx q[0], q[2];
rz(-0.03151214468051604) q[2];
cx q[0], q[2];
rz(-1.5704264103695476) q[0];
rx(-1.5760082004320597) q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.03151214468051604) q[4];
cx... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 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(22.4081) 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",
"IIIZIZII",
"IIIIZZII",
"IIIZZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
5,
7.5,
14,
13,
2,
13.5,
4.5,
13
] | 0.924291 | [
-0.03151214468051604,
-1.5704264103695473,
1.5705991780520145,
1.5706765641735296,
1.5707989169663568,
-1.57058498502492,
1.5712808281552364,
-1.5760082004320595
] | {
"n_parameters": 8,
"n_qubits": 8,
"optimal_eigenvalue": -58.5,
"target_ratio": 0.97,
"target_value": -56.745
} | 204 |
b5b49a6fced492fe8fd91e1e7f682614 | connected_components | 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": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [23, 31], "expectation_value": -7.940629603543955, "params": null, "bitstrings": ["101000", "100000"], "total_optimization_steps": 69, "probabilities": [0.1668764748661772, 0.28795337291662976], "optimization_time": 64.71637749671936} | -2.5 * (Z(1) @ Z(2)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 1.5 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(4)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(5) + -0.5 * Z(0) | 1 | 6 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-1.604271554771607) q[0];
ry(3.9802638996140974e-08) q[0];
rz(-3.108117425613082) q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-1.5707963208372273) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-1.5707963208372273) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-1.57079632083722... | null | {"node": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5708) q[4], 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 \... | [
"IIIZZI",
"IIZZII",
"IIZIZI",
"IZIZII",
"IZIIZI",
"IZZIII",
"ZIIZII",
"ZIIIZI",
"ZIZIII",
"ZZIIII",
"IIIZII",
"IIIIZI",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIIIZ"
] | [
-2.5,
-2.5,
-2.5,
-2.5,
-2.5,
1.5,
-2.5,
-2.5,
-2.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.895833 | [
-1.5707963208372273,
-1.5707962913955524,
-6.942390991738459e-9,
-1.5707963665752365,
-1.570796325462743
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -24,
"target_ratio": 0.97,
"target_value": -23.28
} | 189 |
7159875581110260102 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3], [3, 7], [0, 2], [2, 7], [4, 6], [0, 3], [0, 5], [1, 4], [3, 4], [4, 7], [3, 6], [0, 4], [1, 7]]} | {"states": [60, 195], "expectation_value": -0.12530303503031764, "params": [[0.0743], [-0.06670000000000001]], "bitstrings": ["11000011", "00111100"], "total_optimization_steps": 10, "probabilities": [0.004459228002696488, 0.004459228002696488], "optimization_time": 1.9398515224456787} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(4)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["01111100", "10000011", "11000011", "00111100"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.8150535588260087) q[0];
h q[1];
ry(0.23732997924014937) q[1];
h q[2];
ry(-0.04038847508124717) q[2];
h q[3];
h q[4];
ry(-0.04038847508124717) q[4];
cx q[3], q[4];
ry(0.04038847508124717) q[4];
cx q[3], q[4];
ry(-0.6996850565981106) q[3];
ry(-0.3877185771610... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[7];
rz(x0) q[7];
cx q[3], q[7];
cx q[2], q[7];
rz(x0) q[7];
cx q[2], q[7];
cx q[3]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZII",
"ZIIIZIII",
"ZIIIIZII",
"IIIIZIIZ",
"IIIIIZIZ",
"IIIZZIII",
"ZIIZIIII",
"IIIZIIIZ",
"IZIIZIII",
"IZIZIIII",
"IIZIIIIZ",
"ZIIIIIZI",
"IIIZIIZI",
"IIIIZIII",
"IIIIIZII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII",
"IIIIIIZI"
] | [
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,
0,
0,
0,
0,
0,
0
] | 0.975661 | [
-0.08077695016249434,
1.446670969961518,
1.6301071176520174,
-0.7797335422380577,
-0.7754371543221945,
-1.5487867256747985,
1.3018005486854995,
-1.3993701131962213,
0.2766505944159021,
0.10385311994153823,
0.43325724256888276,
-0.2818990104216723,
-0.3634894242352437,
-0.05834276005380224,... | {
"n_parameters": 49,
"n_qubits": 8,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 12 |
221461c1c54d63842e2fe9ed231c7c5e | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5},... | {"states": [1615, 1999], "expectation_value": -13.269393922886293, "params": null, "bitstrings": ["00110110000", "00000110000"], "total_optimization_steps": 100, "probabilities": [0.15590533034939158, 0.4669033828038005], "optimization_time": 172.89022970199585} | -1.5 * (Z(0) @ Z(4)) + -1.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(10) @ Z(8)) + -1.5 * (Z(10) @ Z(9)) + -1.0 * (Z(2) @ Z(3)) + 0.5 * Z(4) + 0.5 * Z(0) + 0.5 * Z(1) + -1.0 * Z(6) + -1.0 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) ... | 5 | 11 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["00000110000"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.6163507765301678) q[0];
rz(2.3359249390139283) q[0];
rx(-1.366626019813829) q[1];
rz(-2.5429936391351706) q[1];
rx(-1.403527145901788) q[2];
rz(0.5972593788322769) q[2];
rx(-1.9005796101844483) q[3];
rz(-2.8078042534769354) q[3];
rx(-2.3063165075667085) q[4];
rz(2... | null | {"node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] 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];\ncry(1.5706) q[8], 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[... | [
"IIIIIIZIIIZ",
"IIIIIIZIIZI",
"IIIIIIIIIZZ",
"IIIIZZIIIII",
"IIZZIIIIIII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIZZII",
"IIIIIIZIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIZIIIIIII",
"IZIIIIIIIII",
"ZIIIIIIII... | [
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
-1,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.913828 | [
0.6163507765301678,
0.7651286122190323,
-1.3666260198138287,
2.169395341249519,
-1.4035271459017877,
-0.9735369479626206,
-1.9005796101844483,
1.9045847269077547,
-2.3063165075667085,
1.147392321400196,
-0.05039595500663292,
1.8400424384164633,
-0.04158504840485723,
0.2782987980234394,
-... | {
"n_parameters": 110,
"n_qubits": 11,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 500 |
ade5112df185088742e72ef2efdfacec | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 7}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [176, 216], "expectation_value": -4.101846637583554, "params": [[[-0.057800000000000004, 0.6592, 0.005200000000000001, 0.0018000000000000002], [-0.6823, -0.007500000000000001, 1.3383, -0.0354], [0.0697, 0.6304000000000001, -0.42900000000000005, 0.2882], [1.4933, 0.0177, 1.0248000000000002, -0.103000000000000... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + -1.5 * Z(7) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(3) | 11 | 8 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["00001111", "01011001", "01001011", "00100111"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.24916969395746202) q[0];
rz(-0.5438908052888682) q[0];
ry(1.0613667952233694) q[1];
rz(-0.10671909944055935) q[1];
cx q[1], q[0];
ry(0.8727763399141844) q[0];
rz(-0.8683178324802788) q[0];
ry(0.37684485930649725) q[1];
rz(0.3266569701822652) q[1];
ry(-0.0084640253... | 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": []} | [
"ZIIIIIIZ",
"ZIIIIIZI",
"IIZIIIZI",
"IZIIIIZI",
"ZIIIIZII",
"IIZZIIII",
"IIIZIZII",
"ZIIIZIII",
"IZIIZIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIZIIIII",
"IZIIIIII",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.972966 | [
-0.24916969395746202,
-0.5438908052888682,
1.0613667952233694,
-0.10671909944055935,
-0.00846402538282941,
-0.6409421498644869,
-0.04459307620138274,
-0.5113663886185855,
-0.4672488421011183,
0.2978968243207537,
-0.22910656723624295,
0.1533191765594686,
0.18276026591787176,
-0.115454279671... | {
"n_parameters": 83,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 43 |
a13111755f6f9029d45285fab7768b39 | 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": 4, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 3, "source": ... | {"states": [2048, 2047], "expectation_value": -15.62925114251074, "params": [[[0.0114, -0.0082], [-0.0009000000000000001, 0.0023], [0.0118, -0.0028], [0.019, -0.0031000000000000003], [0.0048000000000000004, -0.0031000000000000003], [0.0162, -0.0031000000000000003], [0.2796, -0.0031000000000000003], [0.003, -0.003100000... | -1.0 * (Z(0) @ Z(9)) + -0.25 * (Z(1) @ Z(9)) + -1.25 * (Z(4) @ Z(1)) + -1.0 * (Z(7) @ Z(9)) + -1.75 * (Z(7) @ Z(1)) + -0.75 * (Z(8) @ Z(1)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(11) @ Z(9)) + -1.0 * (Z(11) @ Z(1)) + -0.5 * (Z(11) @ Z(4)) + -1.25 * (Z(11) @ Z(8)) + -1.0 * (Z(3) @ Z(9)) + 1.25 * (Z(3) @ Z(0)) + -0.75 * (Z... | 15 | 12 | 2 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["100000000000"], "largest_eigenvalue": 19.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.025654808921273035) q[0];
ry(0.03918621919651857) q[1];
ry(0.2238139545120143) q[2];
ry(0.0019847997070117224) q[3];
ry(-0.02265819963561968) q[4];
ry(0.020544258681422588) q[5];
ry(0.10366538330512065) q[6];
ry(0.015381768516360476) q[7];
ry(-0.138417313997048) 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": 11} | {"circuits": [], "gradients": []} | [
"IIZIIIIIIIIZ",
"IIZIIIIIIIZI",
"IIIIIIIZIIZI",
"IIZIZIIIIIII",
"IIIIZIIIIIZI",
"IIIZIIIIIIZI",
"IIIZZIIIIIII",
"ZIZIIIIIIIII",
"ZIIIIIIIIIZI",
"ZIIIIIIZIIII",
"ZIIZIIIIIIII",
"IIZIIIIIZIII",
"IIIIIIIIZIIZ",
"IIIIIIIIZIZI",
"IZIIIIIZIIII",
"IZIIZIIIIIII",
"ZZIIIIIIIIII",
"IZIIIIZII... | [
-1,
-0.25,
-1.25,
-1,
-1.75,
-0.75,
-0.25,
-0.75,
-1,
-0.5,
-1.25,
-1,
1.25,
-0.75,
-1.25,
-0.5,
-0.75,
-1,
-0.25,
-1.25,
0.75,
-0.25,
2.25,
-0.5,
-1,
-1.25,
2.25,
-0.5,
-1.25,
-0.5,
0.25,
-0.25
] | 0.973186 | [
0.025654808921273035,
0.03918621919651857,
0.2238139545120143,
0.0019847997070117224,
-0.02265819963561968,
0.020544258681422588,
0.10366538330512065,
0.015381768516360476,
-0.138417313997048,
-0.021386899501540185,
-0.6245858346532718,
-0.05695829834806494,
0.392647531618468,
-0.084571458... | {
"n_parameters": 72,
"n_qubits": 12,
"optimal_eigenvalue": -16.25,
"target_ratio": 0.97,
"target_value": -15.7625
} | 71 |
081a3ef2a02910794db9cb14b9d27e2c | 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": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [9, 12], "expectation_value": -1.972903235061299, "params": null, "bitstrings": ["10110", "10011"], "total_optimization_steps": 15, "probabilities": [0.07435629520367526, 0.8990326070136716], "optimization_time": 5.93203330039978} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["10011", "01101", "11001", "10110", "01110"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3032958163120794) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(-0.3032958163120794) q[0];
cx q[2], q[0];
rz(0.8552742360724439) q[0];
rx(0.459671657095483) q[0];
h q[3];
h q[4];
cx q[4], q[3];
rz(-0.3032958163120794) q[3];
cx q[4],... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.4449) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZIZ",
"ZZIII",
"IZIZI",
"ZIZII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.971835 | [
-0.3032958163120794,
0.8552742360724437,
0.459671657095483,
-0.19969798362318422,
-0.5347021902916858,
0.39881531451821206,
-0.8390846379262727,
0.5552620141921045,
0.31915477986402796,
-0.8857236685748646,
1.4111741889625347,
0.36007566681044045
] | {
"n_parameters": 12,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 49 |
0af33a976ec1c381deaa423c18839faf | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [85, 71], "expectation_value": -3.997957846825408, "params": null, "bitstrings": ["0101010", "0111000"], "total_optimization_steps": 35, "probabilities": [0.061015642347634694, 0.8720928341733933], "optimization_time": 28.415608167648315} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(3) + 0.0 * Z(0) + -0.5 * Z(1) + -0.5 * Z(6) + -0.5 * Z(2) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["0001011", "0101010", "0111000", "0011001"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.1500648092816264) q[0];
rz(0.2894420724217075) q[0];
rx(0.20193358382172744) q[1];
rz(0.131506413701854) q[1];
rx(-0.043996941354002436) q[2];
rz(-0.47817576853610433) q[2];
rx(-0.09506138493143208) q[3];
rz(0.3639995305407293) q[3];
rx(0.6948591663024991) q[4];
rz... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"IIIZIZI",
"ZIIZIII",
"ZIIIIZI",
"IIIZZII",
"IZIIZII",
"IIZZIII",
"IIIZIII",
"IIIIIIZ",
"IIIIIZI",
"ZIIIIII",
"IIIIZII",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-0.5,
-0.5,
-0.5,
0,
0
] | 0.97461 | [
1.1500648092816261,
0.12038576048415986,
0.2019335838217274,
-0.05291135389986372,
-0.043996941354002436,
-0.3383545190063643,
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0.32252158211896664,
0.694859166302499,
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1.0725501679329832,
0.1137455722352263,
1.1316616835343047,
-0.2302771968508166,... | {
"n_parameters": 56,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 19 |
e73f8423da86a15663c240a5147679ff | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [11, 138], "expectation_value": -5.150536923903998, "params": [0.7972, 0.2953, 0.8002, 0.0054, 0.7968000000000001, -0.2536, 0.7932, 0.0013000000000000002, 0.0012000000000000001, -0.2086, 0.0013000000000000002, 0.0008, -0.0082, 0.42110000000000003, -0.0123, 0.0043, 0.8062, -0.057600000000000005, 0.80870000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.5, "smallest_bitstrings": ["01110101", "00110111", "11100110", "01110011", "11110100", "10110110"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.1061862448240064) q[0];
rz(0.8448136299846816) q[0];
rx(1.0697547898374569) q[1];
rz(-0.45945257120839234) q[1];
rx(0.25443918912826435) q[2];
rz(0.15072054004128255) q[2];
rx(0.0989138761738656) q[3];
rz(0.43867125428167686) q[3];
rx(0.6647956699098041) 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": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIZIIZII",
"IIZIZIII",
"ZIZIIIII",
"IIZIIIZI",
"IZIIZIII",
"IZIIIIZI",
"IZZIIIII",
"IIIZIZII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIIIIZI",
"IIZIIIII",
"IZIIIIII",
"IIIZIII... | [
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,
-2.5,
-1,
-2,
-1,
-1.5,
-2,
-1,
0
] | 0.970111 | [
-0.1061862448240064,
0.719938943769593,
1.0697547898374569,
-0.5065350220878284,
0.25443918912826435,
0.36802555995828956,
0.0989138761738656,
0.5230770658311505,
0.6647956699098042,
-0.4100000827698474,
0.024851820695789645,
0.5797969265925785,
-0.2754391063630775,
-0.24140022656307086,
... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 34 |
-7938295873252713390 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 4, 5], [0, 4, 5], [2, 4, 5], [3, 6], [0, 3, 4], [1, 3], [0, 8, 6], [8, 4], [8, 5], [5, 7], [6, 7], [0, 3, 7], [8, 2, 6], [2, 3, 4], [8, 3], [0, 1, 5], [1, 2, 7]]} | {"states": [355, 364], "expectation_value": -0.7723925346902127, "params": [[0.15910000000000002], [-0.14830000000000002]], "bitstrings": ["010011100", "010010011"], "total_optimization_steps": 20, "probabilities": [0.0036484709507140817, 0.0036485281763578713], "optimization_time": 1.3866839408874512} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.3333333333333333 * (Z(0) @ Z(4)) + 0.3333333333333333 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(0) @ Z(5)) + 0.3333333333333333 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.500000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["010010011"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(1.4395852966130331) q[0];
h q[1];
ry(-0.44803007725275085) q[1];
h q[2];
ry(1.4829220750053318) q[2];
h q[3];
cx q[3], q[1];
ry(0.44803007725275085) q[1];
cx q[3], q[1];
ry(-0.41824892312631684) q[1];
ry(1.1175211132073153) q[3];
h q[4];
ry(-0.608793583903852... | 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[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[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(x0) q[5... | null | {"circuits": [], "gradients": []} | [
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"IIIIZIIIZ",
"IIIIIZIIZ",
"IIIZIIIIZ",
"IIIIZIZII",
"IIIIIZZII",
"IIIZIIZII",
"IIZIIZIII",
"IIZIIIIIZ",
"IIZIIIZII",
"IIIIIZIZI",
"IIIZIIIZI",
"IIIIIIIZZ",
"IIIIIIZZI",
"ZIIIZIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIIIIIIIZ",
"ZIIIIIZII",
"... | [
0.5,
0.5,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.... | 0.970339 | [
1.4395852966130331,
1.4829220750053318,
-0.6251890944194927,
1.3931593284471049,
-1.4708026533521303,
1.5745670782960244,
-1.2521281810908687,
0.04032389105854346,
-0.8960601545055017,
1.1175211132073153,
-0.8364978462526337,
-1.2175871678077042,
0.3974614346025498,
-0.4668424903924159,
... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -4.500000000000001,
"target_ratio": 0.97,
"target_value": -4.365000000000001
} | 16 |
8f570f960f63671d4142917816c3a15b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [172, 428], "expectation_value": -3.049010468305855, "params": [[[0.4777, 0.0011, 0.003, 0.0007], [0.1368, 0.0021000000000000003, 0.5751000000000001, 0.0041], [0.0049, 0.2661, 0.005200000000000001, 0.26880000000000004], [0.2953, 0.0015, 0.2914, 0.0033], [0.029400000000000003, 0.0665, 0.0033, 0.0654], [0.0819... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 12 | 9 | 4 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.75, "smallest_bitstrings": ["001100011", "100001011", "101000011", "010001011", "001010011", "001001011"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.09497496800020405) q[0];
ry(1.4600709921015824) q[1];
ry(0.39336561494505273) q[2];
ry(1.1159621473878063) q[3];
ry(1.0659979656717296) q[4];
ry(0.4656895360162482) q[5];
ry(1.243456357921148) q[6];
ry(-0.01938399163025254) q[7];
ry(0.38535406022032104) q[8];
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": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIIIZZIIZ",
"IIIZIZIIZ",
"IIIZZIIIZ",
"IIIZZZIII",
"IIIZZZIIZ",
"IIZIIZIII",
"IZIIIZIII",
"IZZIIIIII",
"IZZIIZIII",
"IIIIZIIZI",
"IIZIIIIZI",
"... | [
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,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.125,
0.125,
-0.25,
0.125,
0... | 0.970637 | [
0.09497496800020405,
1.4600709921015824,
0.39336561494505273,
1.1159621473878063,
1.0659979656717296,
0.4656895360162482,
1.243456357921148,
-0.01938399163025254,
0.38535406022032104,
0.011117583291569604,
0.06048287065278788,
-0.02645478647171008,
0.00047416690820300395,
-0.05895013079908... | {
"n_parameters": 53,
"n_qubits": 9,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 65 |
1d86b79e795dcdc762321344dd74195c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [880, 816], "expectation_value": -9.373172609126158, "params": [0.9064000000000001, 0.0012000000000000001, 0.9053, 0.006500000000000001, 0.8622000000000001, 0.0023, 0.8565, 0.0039000000000000003, -0.0036000000000000003, 0.37970000000000004, -0.00030000000000000003, 0.01, 0.7240000000000001, 0.245000000000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) ... | 7 | 10 | 1 | {"smallest_eigenvalues": [-11.0, -11.0, -11.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.0, "smallest_bitstrings": ["0011001111", "0110001111", "0011011011"], "largest_eigenvalue": 31.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.6342953305480599) q[0];
rz(0.2969821505611434) q[0];
rx(1.683440598070884) q[1];
rz(0.10375543812333926) q[1];
cx q[1], q[0];
rz(-0.000452537103619928) q[0];
cx q[1], q[0];
rx(1.3526492217400738) q[0];
rz(-0.1316653624130741) q[0];
rx(1.14424277754335) q[1];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIZIIIIIZ",
"IZIIIIIIIZ",
"IZIZIIIIII",
"IIIIIIIZZI",
"IIIZIIIIZI",
"IZIIIIIIZI",
"IIIIIIZZII",
"IIIIIIZIZI",
"ZZIIIIIIII",
"ZIIIIIIIZI",
"ZIIIIIZIII",
"IIIIIZIZII",
"IZIIIZIIII",
"ZIIIIZIIII",
"IIZIIIIZII",
"IIZZIIIIII",
"IZZIIIIIII",
"IIZIIIZIII",
"ZIZIIIIIII"... | [
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,
-2,
-1,
-2,
-3,
-2,
-1.5,
-2.5,
-1,
-2.5,
-1.5
] | 0.970408 | [
1.6342953305480599,
0.29652961345752354,
1.683440598070884,
0.10375543812333926,
0.056476314158495876,
0.18436715675656815,
0.559284993987854,
0.36699384242310445,
1.1796456649068958,
0.14607161278132696,
1.4721537174205857,
0.10768941253544242,
0.3458416849230436,
-0.11489742383758124,
... | {
"n_parameters": 45,
"n_qubits": 10,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 20 |
9f16651ff069e7e4b10d7e6e3ea493cf | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.05552501641259116, "params": [[-0.0417], [0.052700000000000004]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004163634416544264, 0.004202195348920225], "optimization_time": 2.0134620666503906} | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(7)) + 0.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(6) + -0.75 * Z(7) + 0.5 * ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.10963318844684469) q[0];
ry(-0.10784227629783924) q[1];
ry(0.04903416532490154) q[2];
ry(-0.06456811418837632) q[3];
ry(-0.06278920391668384) q[4];
ry(0.016083486528017166) q[5];
ry(-0.09115505483951711) q[6];
ry(3.0615251106487658) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[6]... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IZIIZIII",
"IZIIIIIZ",
"ZIIIIIIZ",
"ZZIIIIII",
"IZIIIIZI",
"IIIIZZII",
"IIIIIZZI",
"ZIIZIIII",
"IZZIIIII",
"ZIZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII"
] | [
-0.25,
-0.5,
-0.25,
0.75,
-0.5,
-0.75,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
0,
-0.25,
0,
-0.75,
0.5,
0,
0.5,
0
] | 0.970232 | [
0.10963318844684469,
-0.10784227629783924,
0.04903416532490154,
-0.06456811418837632,
-0.06278920391668384,
0.016083486528017166,
-0.09115505483951711,
3.0615251106487658,
0.6745970847881372,
0.004343756851912965,
-0.11081314270066006,
-0.2897526101286637,
-0.016448119872728477,
-0.2862374... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 44 |
58fa04385078dcdc0b5f9361c481400a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [5, 24], "expectation_value": -1.0811596425505232, "params": [[-0.0806, -0.0729, -0.0736], [0.0796, 0.07300000000000001, 0.0724]], "bitstrings": ["11010", "00111"], "total_optimization_steps": 10, "probabilities": [0.05658968525417161, 0.05658968525417163], "optimization_time": 3.771538257598877} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(1) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["11010", "00111"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.47101618974758475) q[0];
rz(-0.16827364835461855) q[0];
rx(0.48551343822356186) q[1];
rz(0.17804732572877252) q[1];
rx(0.32539434813691376) q[2];
rz(0.5457656730524693) q[2];
rx(-0.21683998807139754) q[3];
rz(0.30031640895019224) q[3];
rx(1.2220557292476708) 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIZIZ",
"IZZII",
"IZIIZ",
"ZIIIZ",
"ZZIII",
"IIZZI",
"IZIZI",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"ZIIII",
"IIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1,
-1
] | 0.971822 | [
0.4710161897475848,
-0.09099105680982872,
0.48551343822356186,
0.17804732572877252,
0.32539434813691376,
0.5457656730524693,
-0.21683998807139754,
0.30031640895019224,
1.2220557292476708,
0.00816620436411572,
0.6463337616946943,
0.03026562494828463,
0.5393888844458095,
-0.2593316846640103,... | {
"n_parameters": 71,
"n_qubits": 8,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 45 |
79ecc4847db5af37782a1c862369b0e5 | 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": 1}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [0, 511], "expectation_value": -9.016274159999671, "params": [0.08420000000000001, 2.0306, 0.6246, 0.0053, 0.7669, 0.6056, -0.763, 0.0098, -0.8541000000000001, 0.9578000000000001, 0.217, 0.0077, -0.8721, 1.5485, -0.6281, 0.0067, -0.8483, 1.5714000000000001, -0.061000000000000006, 0.0044, -0.8498, 1.881300000... | -2.0 * (Z(2) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -2.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + 0.5 * (Z(1) @ Z(9)) + -1.5 * (Z(1) @ Z(8)) + 0.5 * Z(4) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(3) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(9) + 0.... | 6 | 10 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rz(-pi) q[0];
ry(-0.004573207590833014) q[0];
h q[1];
ry(1.0650723069822048) q[1];
h q[2];
ry(0.813173666365267) q[2];
h q[3];
ry(0.9116192610223286) q[3];
h q[4];
ry(0.5117121326905787) q[4];
h q[5];
cx q[5], q[4];
ry(-0.5117121326905787) q[4];
cx q[5], q[4];
cx 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[... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIZIZII",
"IIIIZZIIII",
"IIIIZIIZII",
"IIIIIZZIII",
"IIIIIIZZII",
"IIIIZIZIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"ZIIIIIIIZI",
"IZIIIIIIZI",
"IIIIIZIIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIIIIZIII",
"IIZIIIIIII",
"IIIZIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ"... | [
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-1,
-1.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.902018 | [
1.0234242653811574,
1.626347332730534,
1.3833227940261237,
0.7526752857215283,
1.8232385220446572,
1.571501073997492,
1.2310104654153886,
2.1301446139644096,
0.14088783300572685,
-0.15118942209001918,
-0.9842910466730176,
0.9441594678094527,
-0.001621875997033076,
-1.577784643563386,
0.4... | {
"n_parameters": 47,
"n_qubits": 10,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 500 |
d8a61d0444d65913cca281ef9173c238 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 8}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"sour... | {"states": [282, 283], "expectation_value": -5.3301102300498515, "params": [[1.1801000000000001, -0.1565, 0.0009000000000000001, -0.0041, 1.3024, 1.243, 0.002, 1.1727, 0.5924], [0.6903, 0.0732, 0.0034000000000000002, -0.0009000000000000001, 0.4431, -0.3533, 0.002, 0.6922, -0.1221], [1.2974, 0.1454, 0.005200000000000001... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * Z(3) + 0.0 * Z(0) + -0.5 * Z(5) + -0.5 * Z(1) + -1.0 * Z(8) + -1.0 * Z(... | 10 | 9 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["011100100"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.569937137272534) q[0];
ry(-0.12004927801660521) q[1];
ry(-0.09022630626308809) q[2];
ry(0.199664233715214) q[3];
ry(1.2757727265630139) q[4];
ry(1.1633423007020247) q[5];
ry(0.1404848115533894) q[6];
ry(1.4083230066085002) q[7];
ry(0.7861371419260653) q[8];
cz 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": []} | [
"IIIIIZIIZ",
"IIIZIIIZI",
"ZIIIIZIII",
"ZIIIIIIZI",
"IIIZIIZII",
"ZIIIIIZII",
"IIIIZZIII",
"IIIIZIZII",
"IIZIIZIII",
"IIZIZIIII",
"IZZIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIIIIZI",
"ZIIIIIIII",
"IIIIIIZII",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-0.5,
-0.5,
-1,
-1,
-1,
-1,
0
] | 0.976461 | [
1.569937137272534,
-0.12004927801660521,
-0.09022630626308809,
0.199664233715214,
1.2757727265630139,
1.1633423007020247,
0.1404848115533894,
1.4083230066085002,
0.7861371419260653,
-0.0415557473993535,
-0.04311237861045379,
-0.4374124354930117,
0.11269371233738584,
0.19311049362113708,
... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 23 |
328993d2980617c82c46cb44ba49e574 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 4, "source": ... | {"states": [2048, 2047], "expectation_value": -33.031327548575966, "params": [[[-0.0018000000000000002, -0.0035], [-0.0018000000000000002, -0.0034000000000000002], [0.0015, -0.002], [0.002, -0.0029000000000000002], [0.0007, -0.0032], [0.005200000000000001, -0.0024000000000000002], [0.0009000000000000001, -0.00240000000... | -0.5 * (Z(0) @ Z(6)) + -2.0 * (Z(1) @ Z(6)) + -1.25 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(8) @ Z(6)) + -0.75 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @ Z(5)) + -1.25 * (Z(8) @ Z(4)) + -2.0 * (Z(9) @ Z(4)) + -1.5 * (Z(9) @ Z(8)) + -0.25 * (Z(2) @ Z(6)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @... | 15 | 12 | 2 | {"smallest_eigenvalues": [-33.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.75, "smallest_bitstrings": ["100000000000"], "largest_eigenvalue": 34.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.027234768481987817) q[0];
ry(0.13097387298168853) q[1];
ry(0.07750894798032602) q[2];
ry(0.08236998074887456) q[3];
ry(0.05110253013634801) q[4];
ry(-0.35078180754296245) q[5];
ry(-0.08962534095873428) q[6];
ry(0.015752213971522287) q[7];
ry(-0.06622057232979459)... | 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": []} | [
"IIIIIZIIIIIZ",
"IIIIIZIIIIZI",
"IIIIIZZIIIII",
"IIIIIIZIIIZI",
"IIIIIIIZIIZI",
"IIIZIZIIIIII",
"IIIZIIIIIIZI",
"IIIZIIZIIIII",
"IIIZIIIZIIII",
"IIZIIIIZIIII",
"IIZZIIIIIIII",
"IIIIIZIIIZII",
"IIIIIIIZIZII",
"IIZIIIIIIZII",
"IIIIIZIIZIII",
"IIIIIIIIZIIZ",
"IIIIIIIZZIII",
"IIZIIIIIZ... | [
-0.5,
-2,
-1.25,
-1.25,
-0.25,
-0.5,
-0.75,
-0.5,
-1.25,
-2,
-1.5,
-0.25,
-1,
-0.75,
-1.25,
0.75,
-1.25,
-0.5,
-1.5,
-1.5,
-0.5,
-0.75,
-0.5,
-0.75,
-1.25,
-1.5,
-2.5,
-1,
-0.5,
-1,
-1.5,
-1.5,
-0.5,
0.25,
-0.25,
-2.75,
-0.25,
2,
-3,
3.25... | 0.970788 | [
-0.027234768481987817,
0.13097387298168853,
0.07750894798032602,
0.08236998074887456,
0.05110253013634801,
-0.35078180754296245,
-0.08962534095873428,
0.015752213971522287,
-0.06622057232979459,
0.08224223974757933,
-1.7826037223607383,
0.30783571302274015,
-0.007721059013623261,
0.0281261... | {
"n_parameters": 53,
"n_qubits": 12,
"optimal_eigenvalue": -33.75,
"target_ratio": 0.97,
"target_value": -32.7375
} | 40 |
1482f4f5abcf5f1c29a93218e5aedf4b | 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": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, ... | {"states": [39, 3], "expectation_value": -0.07971844825212775, "params": [[0.013800000000000002, -0.0369], [-0.0297, 0.033600000000000005]], "bitstrings": ["11011000", "11111100"], "total_optimization_steps": 10, "probabilities": [0.004132392606260573, 0.004151625091724233], "optimization_time": 2.66802716255188} | -0.5 * (Z(0) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(4)) + -1.0 * (Z(5) @ Z(2)) + -1.0 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(7) + -1.25 * Z(3) + 0.25 * Z(4) + -0.5 * Z(2) + 1.0 * Z(5) + 1.5 * Z(6) | 1 | 8 | 2 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.75, "smallest_bitstrings": ["11011000", "11111000", "11111100"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.012185233531157788) q[0];
rz(-0.14371858576511087) q[0];
rx(0.007031030376359929) q[1];
rz(0.2897352875796022) q[1];
rx(0.03703295545914785) q[2];
rz(0.21538689773784236) q[2];
rx(0.018548456488674744) q[3];
rz(0.2631140417298812) q[3];
rx(-0.04106692929657757) 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": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIIIZZII",
"IIIZIZII",
"IIZIIZII",
"ZZIIIIII",
"IZIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIZIII",
"IIIZIIII",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII"
] | [
-0.5,
0.75,
-0.5,
-1.5,
-0.25,
-0.25,
-1,
-1,
-0.5,
-0.5,
-0.25,
-0.25,
-1.25,
0.25,
-0.5,
1,
1.5
] | 0.985377 | [
-0.012185233531157788,
0.16024899196305356,
0.00703103037635993,
0.5162994626624118,
0.03703295545914786,
0.49809845414396875,
0.018548456488674744,
0.6519750213744733,
-0.04106692929657757,
0.5374198011724128,
0.14044029173835149,
0.12062919065026473,
0.705253149582738,
-0.118476525432784... | {
"n_parameters": 89,
"n_qubits": 8,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 3 |
4037180058226994189 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[10, 11, 5, 6], [8, 11, 4, 6], [4, 5], [0, 8, 5, 6], [1, 6, 8, 9, 10], [0, 4, 7, 8, 10], [2, 3, 4, 7], [2, 3, 5], [2, 4, 7, 8, 11], [3, 4, 6, 10, 11], [10, 3, 5], [8, 11, 5], [9, 11], [0, 8, 2]]} | {"states": [894, 638], "expectation_value": -3.57515821832101, "params": [-0.0022, 1.1640000000000001, -0.0027, 1.8409, 3.1412, -0.0006000000000000001, 1.5697, 0.3551, -0.0027, -1.3771, 2.2444, 0.0024000000000000002, 2.3537, 0.0027, 2.4393000000000002, 0.0027, 2.7419000000000002, -0.0028, 2.9933, 0.0022, 3.139900000000... | 0.13333333333333333 * (Z(10) @ Z(11)) + 0.25 * (Z(5) @ Z(11)) + 0.25 * (Z(5) @ Z(10)) + 0.21666666666666667 * (Z(6) @ Z(11)) + 0.18333333333333335 * (Z(6) @ Z(10)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.3 * (Z(8) @ Z(11)) + 0.1 * (Z(8) @ Z(10)) + 0.25 * (Z(8) @ Z(5)) + 0.21666666666666667 * (Z(8) @ Z(6)) + 0.1833333... | 4 | 12 | 1 | {"smallest_eigenvalues": [-3.7666666666666675], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.716666666666667, "smallest_bitstrings": ["110110000001"], "largest_eigenvalue": 13.000000000000009} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.13553216624231945) q[0];
rz(2.8826904259604245) q[0];
rx(0.045750338033429164) q[1];
rz(-2.801340573994736) q[1];
rx(-3.060024721495781) q[2];
rz(1.7735403827293252) q[2];
rx(0.846888687760606) q[3];
rz(1.9777339864820132) q[3];
rx(0.04575033803342917) 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[... | null | {"circuits": [], "gradients": []} | [
"ZZIIIIIIIIII",
"ZIIIIIZIIIII",
"IZIIIIZIIIII",
"ZIIIIZIIIIII",
"IZIIIZIIIIII",
"IIIIIZZIIIII",
"ZIIZIIIIIIII",
"IZIZIIIIIIII",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"ZIIIIIIZIIII",
"IZIIIIIZIIII",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIZIIIZIIII",
"IZIIIIIIIIIZ",
"IIIIIIZIIIIZ",
"IIIIIZIII... | [
0.13333333333333333,
0.25,
0.25,
0.21666666666666667,
0.18333333333333335,
0.16666666666666666,
0.3,
0.1,
0.25,
0.21666666666666667,
0.18333333333333335,
0.1,
0.5,
0.13333333333333333,
0.18333333333333335,
0.05,
0.08333333333333333,
0.08333333333333333,
0.3,
0.05,
0.05,
0.0... | 0.976347 | [
-0.13553216624231948,
1.3118940991655281,
0.045750338033429164,
1.9110484063899533,
3.2231605856838055,
0.20274405593442923,
0.8468886877606059,
0.40693765968711687,
-1.4557539631527605,
2.1740422402567314,
-0.11753339385142603,
2.2700945351847763,
0.03770066363061027,
2.2522591783926154,
... | {
"n_parameters": 31,
"n_qubits": 12,
"optimal_eigenvalue": -3.7666666666666675,
"target_ratio": 0.97,
"target_value": -3.6536666666666675
} | 9 |
d2be47e29eae50ce45c4510347a77d7f | 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": 6, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "s... | {"states": [256, 255], "expectation_value": -23.70457732172402, "params": [[[-0.015300000000000001, -0.0055000000000000005], [-0.004200000000000001, 0.066], [-0.0037, -0.003], [-0.0035, 0.0027], [0.0011, -0.0031000000000000003], [-0.005200000000000001, 0.003], [-0.0021000000000000003, -0.0027], [-1.3764, 0.001], [0.447... | -1.5 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(3)) + -1.5 * (Z(5) @ Z(1)) + -1.75 * (Z(5) @ Z(3)) + -0.25 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(2)) + -1.25 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ ... | 15 | 9 | 3 | {"smallest_eigenvalues": [-24.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.25, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 19.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.45187246565378847) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.44376503511328963) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.21424295295244217) q[2];
cx q[1], q[2];
rz(0.28302701021051624) q[3];
cx q[0], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZZII",
"IIIZIIIZI",
"IIIZIZIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIIIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIIZIZII",
"IIIZZIIII",
"IZIIZIIII",
"IIZIIZIII",
"IIZIIIZII",
"IIZZIIIII",
"IIZIZIIII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"... | [
-1.5,
-1.25,
-1,
-0.25,
-3,
-1.5,
-1.75,
-0.25,
-1,
-0.5,
-1.25,
-1.5,
-0.75,
-1,
-1,
-0.75,
-2.75,
-0.75,
-1.5,
2.75,
-1.75,
-0.75,
-0.25,
0.5,
-0.25,
-5,
-0.25,
-0.75,
0.25,
2.25,
3.25,
0
] | 0.567083 | [
0.45187246565378847,
0.44376503511328963,
0.28302701021051624,
0.21424295295244217,
0.5922640119683332,
0.2321019740417554,
0.38007108801651485,
0.35236256173146097,
0.6024633427501395,
-1.08455801308407,
0.06828135707112602,
0.6612327492181652,
-0.09231695638765809,
-0.43151692126826907,
... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -24.25,
"target_ratio": 0.97,
"target_value": -23.5225
} | 345 |
4c97295c4d10fd438512879e76a3fa94 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 3}, {"weight": 11, "source": 0, "target": 5}, {"weight": 11, "source": 1, "target": 6}, {... | {"states": [126, 118], "expectation_value": -39.2223342595952, "params": [[0.038900000000000004, 0.0758, 0.11280000000000001], [-0.6283000000000001, -0.4199, -0.2695]], "bitstrings": ["10000001", "10001001"], "total_optimization_steps": 70, "probabilities": [0.1777609840853321, 0.18674781669811752], "optimization_time"... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 12.5 * Z(1) + 4.5 * Z(0) + 9.5 * Z(2) + 5.5 * Z(3) + 8.5 * Z(4) + 11.0 * Z(5) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-52.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 108.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.06705697307695388) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.06705697307695388) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.06705697307695388) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.06705697307695388) q[3];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIZI",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
12.5,
4.5,
9.5,
5.5,
8.5,
11,
10,
3
] | 0.970508 | [
-0.06705697307695388,
-1.0858221740381448,
0.7683541393482292,
-1.037866449491875,
-1.2864236331379229,
0.12089631300890967,
-1.2281342709076082,
-0.5959445715535199,
0.058898953373016205,
0.39104211057759153,
0.11572163969478497,
-0.6202676151810331,
0.42998577073893834,
-0.60274796727804... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -52.5,
"target_ratio": 0.97,
"target_value": -50.925
} | 81 |
f06cfa431b1d21951bd72bdc4807e338 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [19, 27], "expectation_value": -1.1063567579923639, "params": [[0.0702, 0.06960000000000001, 0.0649, 0.036000000000000004], [-0.0717, -0.07300000000000001, -0.0719, -0.054]], "bitstrings": ["101100", "100100"], "total_optimization_steps": 10, "probabilities": [0.028138326208589595, 0.034465527648138844], "op... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(1) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100100"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.04358228463512977) q[0];
cx q[2], q[0];
rz(0.629790216378117) q[2];
rx(-0.6836283096730165) q[2];
h q[3];
cx q[0], q[3];
rz(-0.04358228463512977) q[3];
cx q[0], q[3];
h q[4];
cx q[0], q[4];
rz(-0.04358228463512977) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"IZIIIZ",
"IZZIII",
"ZIIIIZ",
"ZIZIII",
"IIZIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1.5,
-1.5,
-0.5,
-0.5,
0
] | 0.987514 | [
-0.04358228463512977,
0.6297902163781169,
-1.038896045838605,
0.8898531274270675,
-0.6836283096730164,
0.08270608385341727,
-0.4891641665369492,
0.3380455981667369,
-1.2087704809257387,
1.2365945368731672,
-0.5651441507024032,
-0.44988414168676605,
-0.273403240245268
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 23 |
299056894614015130 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 4, 5, 6], [4, 7], [2, 3, 7], [0, 3, 6], [1, 4], [3, 4, 5], [0, 2, 5, 6, 7]]} | {"states": [213, 87], "expectation_value": -0.07258951800024235, "params": [[0.07980000000000001], [-0.08560000000000001]], "bitstrings": ["00101010", "10101000"], "total_optimization_steps": 10, "probabilities": [0.004328405014160666, 0.00432840501416067], "optimization_time": 0.9176373481750488} | 0.1 * (Z(0) @ Z(2)) + 0.05 * (Z(4) @ Z(2)) + 0.05 * (Z(4) @ Z(0)) + 0.1 * (Z(5) @ Z(2)) + 0.1 * (Z(5) @ Z(0)) + 0.21666666666666667 * (Z(5) @ Z(4)) + 0.1 * (Z(6) @ Z(2)) + 0.26666666666666666 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(4)) + 0.1 * (Z(6) @ Z(5)) + 0.21666666666666667 * (Z(7) @ Z(2)) + 0.05 * (Z(7) @ Z(0)) + 0.5 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.2, -2.2], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.1999999999999993, "smallest_bitstrings": ["00101010", "10101000"], "largest_eigenvalue": 5.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.17332668165206228) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.0902668915681424) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.0902668915681424) q[4];
cx q[0], q[4];
h q[5];
cx q[2], q[5];
rz(0.17332668165206228) q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[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[2], q[0];
r... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIZIZII",
"IIIZIIIZ",
"IIZIIZII",
"IIZIIIIZ",
"IIZZIIII",
"IZIIIZII",
"IZIIIIIZ",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIZZII",
"IIIIZIIZ",
"IIIZZIII",
"IIZIZIII",
"IZIIZIII",
"ZIIIZIII",
"IIIZIIZI",
"IIIIIZI... | [
0.1,
0.05,
0.05,
0.1,
0.1,
0.21666666666666667,
0.1,
0.26666666666666666,
0.05,
0.1,
0.21666666666666667,
0.05,
0.5,
0.05,
0.05,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3666666666... | 0.647858 | [
0.17332668165206228,
-0.0902668915681424,
0.37384694678145325,
0.18402179251420675,
1.0225070302102732,
0.1487021215018287,
0.7724357338039476,
-0.11121709788543697,
-0.8324210587780917
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -2.2,
"target_ratio": 0.97,
"target_value": -2.134
} | 227 |
b35b67be6f13e1c7d0fe900b84e9f3d0 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [75, 91], "expectation_value": -2.563006157021299, "params": [[0.0026000000000000003, -0.0198, 1.5801, -0.0005, -0.0053, 1.5858, 0.0023, -0.016800000000000002, 1.5859], [0.0025, 1.3735000000000002, 1.5861, 0.32280000000000003, 1.6032000000000002, 1.5850000000000002, -0.004200000000000001, 1.6103, 1.5858]], "... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(2) @ Z(5) @ Z(6)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(7) @ Z(0)) + 0.0625 * (Z(8) @ Z(0)) ... | 10 | 9 | 1 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5625, "smallest_bitstrings": ["100110100", "110000110", "110100100"], "largest_eigenvalue": 6.4375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-3.1044154877547934) q[0];
ry(-0.14624712835197728) q[1];
rz(-pi) q[1];
h q[2];
ry(1.517125227600992) q[2];
h q[3];
ry(-0.46439454295052995) q[3];
h q[4];
ry(-1.658138407290251) q[4];
h q[5];
ry(1.517125227600992) q[5];
h q[6];
cx q[6], q[3];
ry(0.46439... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIZZZI",
"IIIIZIIZI",
"IIIZIIZII",
"IIZIIIZII",
"IIZZIIIII",
"IIZZIIZII",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"IIIZZIIII",
"IZIIZIIII",
"ZIIIZIIII",
"IZIZIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIZZIIIZ",
"IZIIZIIIZ",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0... | 0.993886 | [
-1.658138407290251,
-1.3759637991255074,
1.517125227600992,
-0.9287890859010599,
0.5798954614756153,
-0.5155606941877574,
0.49240477016956247,
-0.38839652885064646,
0.12744775508000605,
-0.18718229301267325,
0.18169653005780909,
0.1441821903289413,
0.11969662451446915,
0.2736294279178377,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
04fe200220cb0278b572d83172c75de9 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 6... | {"states": [5, 1], "expectation_value": -1.7086424814646564, "params": [[-0.054700000000000006, -0.0699, -0.038200000000000005], [0.053500000000000006, 0.07200000000000001, 0.0594]], "bitstrings": ["1111010", "1111110"], "total_optimization_steps": 10, "probabilities": [0.018569001970843112, 0.021116496592495246], "opt... | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(5) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * Z(1) + -0.25 * Z(0) + -1.5 * Z(2) + -0.75 * Z(5) + 0.75 * Z(6) + 0.0 * Z(3) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["1111110", "1111010"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.06130815730018118) q[0];
rz(0.463469290764003) q[0];
rx(-0.07581104059622698) q[1];
rz(0.0489247887747748) q[1];
rx(-0.011251041592074667) q[2];
rz(-0.5619835883705591) q[2];
rx(-0.00789090442000682) q[3];
rz(0.27967715048844255) q[3];
rx(0.20171769347520233) 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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IZIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"IIIZIZI",
"IIIZZII",
"IZIZIII",
"IIZIIZI",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
-0.75,
-1,
-1.25,
1,
-0.25,
-0.75,
-0.75,
-0.5,
-1,
-1,
-0.25,
-0.25,
-1.5,
-0.75,
0.75,
0,
2
] | 0.976998 | [
-0.061308157300181174,
0.30964234416005165,
-0.07581104059622698,
-0.17585963221822506,
-0.01125104159207467,
-0.4382858872484008,
-0.007890904420006818,
0.39046647275242663,
0.2017176934752023,
-0.3470176638746595,
0.08692341497440934,
-0.309682958908232,
0.7849760118838354,
0.03717952235... | {
"n_parameters": 71,
"n_qubits": 7,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 5 |
366b890edf4c144f6141ff272a73bb47 | 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": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": ... | {"states": [0, 511], "expectation_value": -6.377520721271542, "params": [0.1015, 1.4473, 0.6103000000000001, 0.004, -0.5724, 0.7903, 0.524, 0.0027, -0.8029000000000001, 0.5372, 0.7028, 0.0095, -0.8125, 1.0226, -0.44380000000000003, 0.0037, -0.8079000000000001, 1.1747, -0.031100000000000003, 0.003, -0.8170000000000001, ... | -1.5 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(1)) + -2.0 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(9) @ Z(1)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * Z(4) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(1) + 0.5 * Z(7) + 0.5 * Z(8) + 0.5 * Z(9) +... | 6 | 10 | 1 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rz(-3.1415925077472098) q[0];
ry(0.6308663773850823) q[0];
rz(-1.5707965074011527) q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(-0.5677918832241154) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(-0.5677918832241154) q[3];
cx q[4], q[3];
cx q[2], q[3];
rz(0.71620748... | 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": []} | [
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIZZII",
"IIIZZIIIII",
"IIZIIIIIZI",
"IZIIIIIIZI",
"IZZIIIIIII",
"ZIIIIIIIZI",
"ZZIIIIIIII",
"IIIIIZIIII",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IIIIIIIIZI",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII",
"IIIIIIIIIZ"
] | [
-1.5,
-1.5,
0.5,
-1,
-1.5,
-2,
0.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.43388 | [
-0.5677918832241154,
0.7162074872685954,
-0.9351460324519598,
-0.15398173942813242,
-1.5707964333245203,
-0.9399299494098221
] | {
"n_parameters": 6,
"n_qubits": 10,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 173 |
4ef5b8ae9f7c2af9940d89976f60e031 | 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": 3, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [97, 1], "expectation_value": -1.2711042327877085, "params": [[-0.027700000000000002, -0.0281, -0.0002, -0.046], [0.029900000000000003, 0.0417, 0.0006000000000000001, 0.0334]], "bitstrings": ["10011110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.006112719794235189, 0.006850362956878894... | -0.75 * (Z(0) @ Z(2)) + -1.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(5)) + -1.75 * (Z(4) @ Z(6)) + 0.5 * Z(2) + -0.25 * Z(0) + 1.0 * Z(5) + -0.75 * Z(1) + -1.5 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.12795288251019715) q[0];
rz(0.24012887220426693) q[0];
rx(0.0892816584470969) q[1];
rz(0.12199048082542863) q[1];
rx(-0.012922376209588068) q[2];
rz(0.4041909632624687) q[2];
rx(0.13809242364631746) q[3];
rz(0.4687173788579586) q[3];
rx(-0.01794629686584754) 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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIZIIIIZ",
"IIIIIZZI",
"IIZIIIZI",
"IIZIZIII",
"IIIIZIZI",
"IZZIIIII",
"IZIIZIII",
"ZIIIIIIZ",
"ZIZIIIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII",
"IIIZIIII"
] | [
-0.75,
-1.5,
-1.25,
-0.25,
-0.25,
-0.25,
-1.5,
-2,
2.5,
-1,
-1.75,
0.5,
-0.25,
1,
-0.75,
-1.5,
1.25,
1.5,
-1.75
] | 0.980057 | [
0.12795288251019715,
0.36515474621129923,
0.08928165844709691,
0.3610421282986562,
-0.012922376209588065,
0.6757660327954275,
0.13809242364631746,
0.7349772309805058,
-0.01794629686584754,
0.6399489508110254,
0.02283802795312584,
0.4418410307019969,
0.13336840086936805,
0.48443543887262297... | {
"n_parameters": 61,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 7 |
cb943fcd43d9f749780630b91be79506 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "s... | {"states": [255, 223], "expectation_value": -0.1700749214852454, "params": [[0.058600000000000006], [-0.0475]], "bitstrings": ["100000000", "100100000"], "total_optimization_steps": 10, "probabilities": [0.002278629543953468, 0.0022950818806981407], "optimization_time": 2.5998852252960205} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(8)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(7) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["100100000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.0023431358542768677) q[0];
h q[1];
ry(1.0573482311132871) q[1];
h q[2];
ry(0.7381916387806311) q[2];
h q[3];
ry(-1.530172209429997) q[3];
h q[4];
ry(-0.12458245307790583) q[4];
h q[5];
cx q[5], q[4];
ry(0.12458245307790583) q[4];
cx q[5], q[4];
h q[6];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1],... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZZII",
"IIZIIIIZI",
"ZIIIIIIIZ",
"ZIIIIIZII",
"IIIIZIIZI",
"IIIIZZIII",
"ZIIIZIIII",
"IIZZIIIII",
"IIIZZIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZZIIIIIII",
"IZIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"... | [
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.75,
1,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-1,
-0.25,
-0.5,
-0.25,
-0.75,
0.25,
-0.25,
-1.75,
0.75,
0.25,
-0.25,
1,
-0.25,
0.25
] | 0.971464 | [
-1.530172209429997,
-0.24916490615581166,
-0.004686271708553735,
1.5008255461260471,
-0.9720458421928581,
1.4763832775612622,
1.178692764422778,
0.13200497549453394,
0.8917603156219556,
2.1146964622265743,
-0.0033878110834060365,
0.17746269747617008,
-0.3576571302642504,
0.0906979216744569... | {
"n_parameters": 50,
"n_qubits": 9,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 170 |
5a1527813da7c534130c872b3bb3e98c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, ... | {"states": [127, 109], "expectation_value": -0.7135975277917834, "params": [[-0.024900000000000002, -0.031, -0.0182, -0.0541], [0.0091, 0.025900000000000003, 0.0056, 0.0386]], "bitstrings": ["10000000", "10010010"], "total_optimization_steps": 10, "probabilities": [0.005678559206535825, 0.005764178235527973], "optimiza... | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + 1.25 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(3) @ Z(6)) + 0.0 * Z(4) + -0.25 * Z(0) + -2.25 * Z(6... | 1 | 8 | 4 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.29304397876910926) q[0];
cx q[4], q[0];
h q[5];
h q[6];
cx q[4], q[6];
rz(0.02674098017791228) q[6];
cx q[4], q[6];
cx q[0], q[6];
cx q[4], q[1];
rz(-0.04175429471611432) q[1];
cx q[4], q[1];
cx q[4], 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": 7} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IZIZIIII",
"IZIIIIIZ",
"IIIZIIZI",
"IZIIIIZI",
"IIIZIZII",
"IZIIIZII",
"ZIIIIIIZ",
"ZIIIIZII",
"IIZZIIII",
"IZZIIIII",
"IZIIZIII",
"IIIZIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"ZIIIIIII",
"IIZIIIII",
"IIIIZIII"
] | [
-0.25,
-0.75,
-0.75,
-0.5,
-0.5,
-1,
-0.75,
1.25,
-1.25,
-1,
-0.5,
-1,
0,
-0.25,
-2.25,
1,
1,
0,
1.5,
-1
] | 0.971046 | [
0.29304397876910926,
0.02674098017791228,
-0.04175429471611432,
0.31653577106034975,
-0.7674656124835568,
0.11950634229219104,
-0.8301752525936286,
0.7774601513321433,
-0.3757443019400376,
-0.4588934753783208,
1.4706729354158479,
0.367692223145139,
0.11452940949680336,
-0.16572355263815042... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 167 |
6163086712884181579 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 7], [4, 5], [5, 7], [4, 7], [0, 5], [1, 2], [2, 3], [1, 6]]} | {"states": [39, 216], "expectation_value": -0.09731705538906167, "params": [[-0.0806], [0.07730000000000001]], "bitstrings": ["11011000", "00100111"], "total_optimization_steps": 10, "probabilities": [0.0045064486900900785, 0.0045064486900900785], "optimization_time": 6.761672496795654} | 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0, "smallest_bitstrings": ["11011000", "10100011", "10101011", "01010100", "01011100", "00100111"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7269497797068869) q[0];
h q[1];
ry(1.557525358467463) q[1];
h q[2];
ry(-0.20643232621668164) q[2];
h q[3];
cx q[3], q[2];
ry(0.20643232621668164) q[2];
cx q[3], q[2];
ry(-0.3364147883321516) q[2];
ry(1.4830785517439988) q[3];
h q[4];
h q[5];
h q[6];
ry(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[1];
rz(x0) q[1];
cx q[7], q[1];
cx q[7], q[4];
rz(x0) q[4];
cx q[7], q[4];
cx q[7], q[5];
rz(x0) q[5];
cx q[7], q[5];
cx q[4]... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZI",
"ZIIZIIII",
"ZIZIIIII",
"IIZZIIII",
"IIZIIIIZ",
"IIIIIZZI",
"IIIIZZII",
"IZIIIIZI",
"ZIIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.972712 | [
-0.4128646524333633,
1.557525358467463,
-1.5920372554872544,
-0.5526631914427003,
1.1852420586076298,
-1.4538995594137738,
-0.4925961754137203,
0.15400310351616533,
-0.6728295766643032,
1.3457549750237179,
-0.6318312041944132,
0.2746471534405618,
0.1958291823319232,
0.15300858078759505,
... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 15 |
5453c2513a3015ff34fdf7af0c17d479 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [5, 7], "expectation_value": -5.250172662553911, "params": [[[0.2313, 0.231], [0.3254, -0.16720000000000002], [0.3245, 0.16670000000000001], [0.3159, -0.1706], [0.6142000000000001, 0.0007], [0.6142000000000001, 0.0002], [0.6121, 0.0004]], [[0.23770000000000002, 0.23090000000000002], [0.32530000000000003, -0.... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.006822705804027614) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.006822705804027614) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.006822705804027614) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.006822705804027614) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
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,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
-3.25,
-3.75,
-3.25,
-3.25,
-3,
-3,
-3
] | 0.979266 | [
-0.006822705804027614,
-0.0569835674757276,
1.6413660952290756,
1.6445943010417547,
-1.210190329393257,
1.272917394365843,
0.13825878583450213,
0.06605299930301477,
-0.18109136526066744,
-0.3332332317372449,
-1.3079642609617461,
0.48354866790017953,
-0.3444589912231889,
0.9797977022594652,... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 96 |
cacbe081b77503da3f10c68300c494cc | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [156, 220], "expectation_value": -5.102815205277699, "params": [0.6059, 0.0002, 0.5995, 0.004200000000000001, -0.019, 0.3261, 0.6059, 0.1552, 0.6088, 0.0017000000000000001, 0.6045, 0.002, -0.0081, 0.3509, -0.007500000000000001, 0.3493, 0.6079, 0.0002, 0.6022000000000001, 0.0036000000000000003, -0.0182, 0.334... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + -2.0 * Z(6) + -0.5 * Z(0) + -2.0 * Z(7) + 0.0 * Z(1) + -... | 3 | 8 | 3 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["00100011"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(2.09196604600786) q[0];
rz(1.5574065964741761) q[0];
rx(2.8819335098396586) q[1];
rz(1.8778812525993054) q[1];
rx(1.6877852575138939) q[2];
rz(1.4466203607817718) q[2];
rx(1.7060787709357488) q[3];
rz(1.4518287150750506) q[3];
rx(1.9858897888732088) q[4];
rz(2.020013... | 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": []} | [
"IZIIIIIZ",
"ZZIIIIII",
"ZIIIIIIZ",
"IZIIIIZI",
"ZIIIIZII",
"ZIIIZIII",
"IIIIZZII",
"IZIZIIII",
"IIIZIZII",
"IZZIIIII",
"ZIZIIIII",
"IIZIIZII",
"IZIIIIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-2,
0,
-1.5,
-0.5,
-0.5,
-1
] | 0.976893 | [
2.09196604600786,
-0.013389730320720411,
2.8819335098396586,
0.30708492580440894,
1.687785257513894,
-0.1241759660131244,
1.7060787709357488,
-0.11896761171984598,
1.9858897888732088,
0.44921682329589974,
3.2748315763454308,
0.28630842724256855,
-0.05017701126291544,
-0.3145922534704872,
... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 21 |
90cd45aecbe758daa031a854118281c7 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [99, 83], "expectation_value": -4.99912831154339, "params": null, "bitstrings": ["0011100", "0101100"], "total_optimization_steps": 34, "probabilities": [0.06552828088820387, 0.9338519928642017], "optimization_time": 30.26380705833435} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -2.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(2) + -1.5 * Z(3) + 0.0 * Z(5) + -0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0011100", "0101100"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.056912986577473866) q[0];
rz(0.3094642138848882) q[0];
rx(-0.155076333841582) q[1];
rz(0.3052202151005613) q[1];
rx(0.8584301783604933) q[2];
rz(0.08129913585944087) q[2];
rx(1.1489608051634745) q[3];
rz(-0.23794780314121378) q[3];
rx(0.6604106178284125) q[4];
rz(-... | 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", ... | [
"IIZIIIZ",
"IIZIIZI",
"IIZIZII",
"IIIIZZI",
"IIZZIII",
"IIIZZII",
"IZIZIII",
"ZIZIIII",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-0.5,
-1,
-1.5,
0,
-0.5
] | 0.975467 | [
0.05691298657747386,
0.5132692831194525,
-0.155076333841582,
0.3052202151005613,
0.8584301783604933,
0.08129913585944087,
1.1489608051634745,
-0.23794780314121378,
0.6604106178284125,
-0.031076673860656233,
0.9177511790288277,
0.32405280952797977,
0.22133575689637358,
0.16741808596700913,
... | {
"n_parameters": 99,
"n_qubits": 9,
"optimal_eigenvalue": -3.9375,
"target_ratio": 0.97,
"target_value": -3.819375
} | 36 |
-2938813909534192457 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], "hyperedges": [[9, 3], [1, 4, 13], [8, 9, 4], [9, 1, 7], [9, 10, 7], [8, 12], [0, 9, 2], [1, 4, 5], [2, 12, 13], [0, 3], [1, 11, 5], [1, 3], [5, 13, 7], [11, 6, 7], [8, 6], [10, 13, 6], [3, 5], [11, 3], [9, 13, 7], [0, 2, 13], [8, 9, 2], [8, 9, 7], [12, 4, 5], [... | {"states": [12605, 12607], "expectation_value": -2.510551568187594, "params": [[0.1757], [-0.1842]], "bitstrings": ["00111011000010", "00111011000000"], "total_optimization_steps": 20, "probabilities": [0.0002462451152579863, 0.00024656590175567607], "optimization_time": 9.709801435470581} | 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(9)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(9)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(13) @ Z(3)) + 0.16666666666666666 * (Z(13) @ Z(9)) + 0.5 * (Z(13) @ Z(1)) + 0.16666666666666666 * (Z(13) @ Z(4)) + 0.... | 1 | 14 | 1 | {"smallest_eigenvalues": [-8.666666666666524], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.666666666666504, "smallest_bitstrings": ["00111011000000"], "largest_eigenvalue": 29.000000000000135} | 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];
cx q[3], q[9];
rz(0.4185374086644764) q[9];
cx q[3], q[9];
cx q[3], q[1];
rz(0.4185374086644764) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(0.0033741662552376635) q[4];
cx q[3], q[4];
cx q[9], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[14] c;
qubit[14] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIZIII",
"IIIIIIIIIIZIZI",
"IIIIZIIIIIIIZI",
"IIIIIIIIIZZIII",
"IIIIZIIIIZIIII",
"IIIIIIIIIZIIZI",
"ZIIIIIIIIIZIII",
"ZIIIZIIIIIIIII",
"ZIIIIIIIIIIIZI",
"ZIIIIIIIIZIIII",
"IIIIZZIIIIIIII",
"IIIIIZIIIZIIII",
"IIIIIIZIIIZIII",
"IIIIZIZIIIIIII",
"IIIIIIZIIIIIZI",
"ZIIIIIZIIIIIII"... | [
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.6666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0... | 0.534069 | [
0.4185374086644764,
0.0033741662552376635,
0.21554708862501387,
0.31744396321876245,
0.1368929497764131,
0.8126062350630864,
1.0032945221985026,
0.7352338509585086,
-0.7934920696914398
] | {
"n_parameters": 9,
"n_qubits": 14,
"optimal_eigenvalue": -8.666666666666524,
"target_ratio": 0.97,
"target_value": -8.406666666666528
} | 240 |
9994d9c0864e8ab88d6d9169e088b46e | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 5}, {"weight": 11, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 6}, {... | {"states": [126, 122], "expectation_value": -15.398110541692448, "params": [[0.027800000000000002, 0.0201], [-0.0478, -0.0664]], "bitstrings": ["10000001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.009452362598256702, 0.010727038530177636], "optimization_time": 3.228362798690796} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(5) @ Z(6)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 11.5 * Z(0) + 14.0 *... | 1 | 8 | 2 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 143.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.11596378006153223) q[0];
rz(0.284417285133328) q[0];
rx(0.9079841915554171) q[1];
rz(0.024714267906631924) q[1];
rx(0.7975047609449103) q[2];
rz(0.10494849557346886) q[2];
rx(0.9341338115562028) q[3];
rz(-0.00661968580596823) q[3];
rx(0.9079841915554171) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZZIII",
"IZIIIZII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
11.5,
14,
10,
17.5,
13.5,
1,
10.5
] | 0.984616 | [
-0.11596378006153223,
0.3017390316030879,
0.9079841915554171,
0.024714267906631924,
0.7975047609449103,
0.10494849557346886,
0.9341338115562028,
-0.00661968580596823,
0.06657420471963857,
-0.0771816746141428,
0.4297982157077295,
0.6553221677779906,
0.11368518825262512,
-0.01430271979699142... | {
"n_parameters": 91,
"n_qubits": 8,
"optimal_eigenvalue": -65.5,
"target_ratio": 0.97,
"target_value": -63.535
} | 12 |
a0d9e7890df5adf810df05a9e670aeef | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 2}, {"weight": 13, "source": 0, "target": 5}, {"weight": 19, "source": 1, "target": 3}, {... | {"states": [174, 122], "expectation_value": -19.689490987139184, "params": [[-0.0346, 0.0041], [0.0709, 0.0703]], "bitstrings": ["01010001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.010013349873695288, 0.012871900165226628], "optimization_time": 3.3995208740234375} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 10.0 * Z(1) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 149.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.017090889001018697) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.017090889001018697) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.017090889001018697) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.017090889001018697) q[3];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
10,
10.5,
14.5,
17.5,
18,
6,
9.5,
7.5
] | 0.977203 | [
0.017090889001018697,
-1.31275271389348,
-0.6179899020836164,
-0.9473448524233365,
-0.9718566134495752,
-1.9534931139208975,
0.11091533144665736,
-1.5054838273398576,
-0.45438682617188736,
-0.36004776093718105,
0.005611387507162821,
-0.3059111558774116,
1.007799926815668,
-0.77241128938593... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -69.5,
"target_ratio": 0.97,
"target_value": -67.41499999999999
} | 90 |
bd450980ecb62a263062b6b855a443ea | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [31, 27], "expectation_value": -5.88727440555093, "params": null, "bitstrings": ["1100000", "1100100"], "total_optimization_steps": 40, "probabilities": [0.41295864328490506, 0.41295864328490506], "optimization_time": 34.904181241989136} | -1.0 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(5)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + -0.75 * Z(1) + -0.25 * Z(0) + 1.0 * Z(5) + -0.25 * Z(3) + -0.5 * Z(4) + 0.5 * Z(2) + 0.25 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["1100100", "1100000", "1110100"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.8940808328512944) q[0];
h q[1];
ry(0.041756198791205276) q[1];
h q[2];
ry(-0.03032114105568228) q[2];
h q[3];
ry(0.4442013340719362) q[3];
h q[4];
h q[5];
ry(0.8884026681438724) q[5];
cx q[5], q[1];
ry(-0.041756198791205276) q[1];
cx q[5], q[1];
ry(-0.8557... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5681) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IZIIIIZ",
"IIIZIZI",
"IZIZIII",
"IIZIIZI",
"IZZIIII",
"IIZIZII",
"ZIIIIIZ",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIZIIII",
"IIIIZII",
"ZIIIIII"
] | [
-1,
-0.25,
-0.5,
-1,
-0.25,
-0.25,
-0.5,
1.5,
-1.25,
-0.75,
-0.25,
1,
-0.25,
-0.5,
0.5,
0.25
] | 0.971173 | [
0.8884026681438724,
1.622467847555487,
-1.7881616657025887,
0.08351239758241055,
-0.1298063569670014,
0.48401841381661614,
-0.06064228211136456,
0.4944845920735319,
-0.5239031451717074,
-0.8974703140323975,
-1.005223191000236,
0.8108085797164076,
1.648602767536483,
0.2412183790864333,
0.... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 83 |
20a60ed013bc1976376f734be7d8d92c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [1, 9], "expectation_value": -0.9981513132393406, "params": [[[0.8341000000000001, 0.0016], [0.2073, -0.35450000000000004], [0.21330000000000002, 0.3438], [0.8353, 0.0013000000000000002]], [[0.8386, 0.0034000000000000002], [0.2132, 0.0037], [0.21810000000000002, 0.0014], [0.8392000000000001, 0.0047]]], "bits... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1001", "0110"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.354728125038139) q[0];
ry(-0.4482118389810244) q[1];
ry(1.1755110513092433) q[2];
ry(0.5002955961412344) q[3];
ry(0.16063370756801337) q[4];
ry(1.5622279807339) q[5];
ry(1.1768090945097947) q[6];
ry(1.5622279807339) q[7];
ry(1.5666955069360808) q[8];
ry(1.5127972... | 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": []} | [
"IIZZ",
"ZZII",
"IZIZ",
"ZIZI",
"IIIZ",
"IIZI",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.972165 | [
-0.354728125038139,
-0.4482118389810244,
1.1755110513092433,
0.5002955961412344,
0.16063370756801337,
1.5622279807339,
1.1768090945097947,
1.5666955069360808,
1.5127972230668947,
-0.024986189269166677,
0.48443925419363265,
0.015176939504703403,
-0.07719483818697466,
0.3729730085267119,
0... | {
"n_parameters": 60,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999957,
"target_ratio": 0.97,
"target_value": -19.39999999999996
} | 52 |
-7113729499938187556 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2], [0, 5], [2, 5], [4, 5], [1, 4], [1, 5], [2, 4], [2, 3]]} | {"states": [7, 56], "expectation_value": -0.0985388506456409, "params": [[-0.08420000000000001], [0.0755]], "bitstrings": ["111000", "000111"], "total_optimization_steps": 10, "probabilities": [0.01722940106904087, 0.01722940106904087], "optimization_time": 2.315836191177368} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.0, "smallest_bitstrings": ["111000", "110110", "100111", "100110", "001001", "000111", "011000", "011001"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(0.3373355245423706) q[0];
rz(-0.5285683696579171) q[0];
rx(0.07509299079118542) q[1];
rz(-0.17001125806972994) q[1];
rx(-0.07414486966462075) q[2];
rz(-0.057023565512853924) q[2];
rx(3.0650757606881003) q[3];
rz(-0.08158261309252435) q[3];
rx(3.1934099799705176) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(x0) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[2], q[4];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"ZIIZII",
"ZIIIIZ",
"IZIZII",
"ZZIIII",
"ZIIIZI",
"IZIIZI",
"IIZZII",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IZIIII",
"IIIIZI",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.993217 | [
0.3373355245423706,
-0.5285683696579171,
0.07509299079118542,
-0.17001125806972994,
-0.07414486966462075,
-0.057023565512853924,
3.0650757606881003,
-0.08158261309252435,
3.1934099799705176,
0.27817927676674503,
3.2509828679537085,
1.0583745028522444
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 19 |
-6989154005446686930 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 5], [0, 6], [2, 4], [3, 6]]} | {"states": [90, 78], "expectation_value": -1.8391930009208826, "params": null, "bitstrings": ["0100101", "0110001"], "total_optimization_steps": 49, "probabilities": [0.05012949413270047, 0.7317076875442983], "optimization_time": 38.91479778289795} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.0, "smallest_bitstrings": ["0010011", "1101100", "0100101", "0110001", "1011010", "1001110", "1111000", "0000111"], "largest_eigenvalue": 2.0} | 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[2];
rz(1.2861933265712153) q[2];
cx q[4], q[2];
rz(-9.7080214978007e-09) q[2];
rx(-0.7853981665598924) q[2];
rz(-9.7080214978007e-09) q[4];
rx(-0.7853981665598924) q[4];
h q[5];
cx q[5], q[1];
rz(1.2861933265712153) q[1... | 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[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IZIIIZI",
"ZIIIIIZ",
"IIZIZII",
"ZIIZIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIIIIZ",
"IIZIIII",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.7872 | [
1.2861933265712153,
-9.708021595908805e-9,
-0.7853981665598924
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 100 |
-7461145682628880774 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3, 4, 6], [0, 4, 6, 7, 8], [0, 1, 4, 6, 7], [8, 1, 4, 7], [0, 1, 2, 3, 4, 5, 8], [1, 2, 3, 4, 5, 6, 8], [0, 2, 3, 5, 7], [0, 1, 3, 5, 6, 8], [0, 1, 2, 5, 7]]} | {"states": [231, 487], "expectation_value": -1.6494508714869467, "params": [1.4423000000000001, 0.4379, 0.8326, 0.0015, 1.469, 0.1105, 1.3834, 0.008700000000000001, 1.4193, 0.1269, 1.3168, 0.0031000000000000003, 1.4442000000000002, 0.1607, 1.4195, 0.008400000000000001, 0.9684, 0.4988, 0.7159, 0.0091, 1.1031, -0.3765, 0... | 0.19047619047619047 * (Z(0) @ Z(3)) + 0.13095238095238093 * (Z(4) @ Z(3)) + 0.20714285714285716 * (Z(4) @ Z(0)) + 0.14047619047619048 * (Z(6) @ Z(3)) + 0.21666666666666667 * (Z(6) @ Z(0)) + 0.20714285714285716 * (Z(6) @ Z(4)) + 0.05 * (Z(7) @ Z(3)) + 0.2 * (Z(7) @ Z(0)) + 0.18333333333333335 * (Z(7) @ Z(4)) + 0.1 * (Z(... | 5 | 9 | 1 | {"smallest_eigenvalues": [-1.8476190476190473], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.833333333333333, "smallest_bitstrings": ["000011000"], "largest_eigenvalue": 8.999999999999998} | 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(-1.0672439544519504e-06) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(-5.330755835882856e-07) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-4.885565134840073e-07) q[4];
cx q[0], q[4];
h q[5];
h q[6];
cx q[3], q[6];
rz(5.4165... | 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",
"IZIIIZIII",
"IZIIIIIIZ",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIZIII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIIIZIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"... | [
0.19047619047619047,
0.13095238095238093,
0.20714285714285716,
0.14047619047619048,
0.21666666666666667,
0.20714285714285716,
0.05,
0.2,
0.18333333333333335,
0.1,
0.08095238095238094,
0.10714285714285715,
0.18095238095238095,
0.10714285714285715,
0.13333333333333333,
0.0809523809523809... | 0.933783 | [
-0.0000010672439544519504,
-5.330755835882856e-7,
-4.885565134840073e-7,
5.416536157499378e-8,
-1.5707975697078835,
-7.438679011927694e-7,
5.720885461934104e-7,
1.7142818851584459e-7,
-6.363692966670839e-7,
-6.679375082104665e-7,
-2.2878959813507915e-7,
-0.5502196378295695,
-6.44400314423682... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -1.8476190476190473,
"target_ratio": 0.97,
"target_value": -1.792190476190476
} | 500 |
aba606cef9b0d037570e7cfc8ff24754 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"sour... | {"states": [272, 280], "expectation_value": -7.7011623243256535, "params": [0.3992, 0.40140000000000003, -0.003, -0.0051, -0.0036000000000000003, -0.0086, 0.0049, 0.0015, 0.39380000000000004, 0.401, 0.31, 0.3164, 0.003, -0.0034000000000000002, 0.17470000000000002, 0.1699, 0.14350000000000002, 0.1383, 0.4055, 0.4022, -0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) ... | 14 | 9 | 3 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -7.5, "smallest_bitstrings": ["011101101", "011110110", "011100111", "010101111", "011111100", "000111111"], "largest_eigenvalue": 25.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.4953872341546768) q[0];
rz(pi/2) q[0];
ry(-0.01895904848277949) q[1];
ry(-0.07973424590947428) q[2];
ry(-0.01498123509958324) q[3];
ry(0.584315422567671) q[4];
ry(0.32520730632625483) q[5];
ry(-0.0648649354106961) q[6];
ry(-0.18802068892971235) q[7];
ry(-0.10676253... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIZIIZIII",
"IIZIIIIIZ",
"IIIIZZIII",
"IIZIZIIII",
"IIIIZIIZI",
"IIZZIIIII",
"IIIZIIIZI",
"IZIIIZIII",
"IZIIIIIZI",
"IZIZIIIII",
"ZIIIIZIII",
"ZIZIIIIII",
"ZIIIZIIII",
"ZIIIIIIZI",
"IIIIIZZII",
"IIZIIIZII",
"IIIZIIZII",
"IZIIIIZII",
"ZIIIIIZII",
"IIIIIZIII",
"... | [
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,
-2.5,
-0.5,
-2.5,
-1.5,
-1.5,
-1.5,
-1.5,
-2,
-2
] | 0.971338 | [
0.4953872341546768,
-0.01895904848277949,
-0.07973424590947428,
-0.01498123509958324,
0.584315422567671,
0.32520730632625483,
-0.0648649354106961,
-0.18802068892971235,
-0.10676253536845765,
0.48874958176755645,
0.3948369361163655,
0.3424411128996612,
-0.24289888659062633,
0.14215438957069... | {
"n_parameters": 104,
"n_qubits": 9,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 14 |
-1704184987172087161 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3, 4], [4, 6], [0, 1, 3, 6, 7], [3, 5, 7], [0, 1, 3, 5], [4, 5, 7], [1, 5, 6, 7], [2, 6, 7], [0, 4, 7], [0, 1, 4]]} | {"states": [89, 121], "expectation_value": -0.056540098943507686, "params": [[0.054400000000000004], [-0.048600000000000004]], "bitstrings": ["10100110", "10000110"], "total_optimization_steps": 10, "probabilities": [0.0040920462531482925, 0.004103369809005673], "optimization_time": 3.4112250804901123} | 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.21666666666666667 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.41666666666666663 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(3)) + 0.5 * (Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.95], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.533333333333334, "smallest_bitstrings": ["10000110"], "largest_eigenvalue": 9.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.04575538908573808) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.04575538908573808) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.03356157871792617) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(0.04575538908573808) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IIIZIZII",
"IIIZIIIZ",
"IIIZZIII",
"IZIIIZII",
"IZIIIIIZ",
"IZIIZIII",
"IZIZIIII",
"IIIIIIZZ",
"IIIIZIZI",
"IIIZIIZI",
"IZIIIIZI",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"ZIIIIIZI",
"IIZIIIIZ",
"IIZIZIII",
"IIZZIII... | [
0.08333333333333333,
0.08333333333333333,
0.21666666666666667,
0.08333333333333333,
0.41666666666666663,
0.08333333333333333,
0.16666666666666666,
0.05,
0.05,
0.5,
0.3,
0.13333333333333333,
0.16666666666666666,
0.13333333333333333,
0.16666666666666666,
0.21666666666666667,
0.21666666... | 0.739474 | [
0.04575538908573808,
0.03356157871792617,
0.7738336459083253,
0.003940411455030757,
-0.6114680509069202,
1.2957960189289657,
0.05387572155416381,
0.003197690202367384,
-0.016729023219306912,
0.13761269138384757,
1.5787799837866707,
0.09798270683617692,
1.592361400272815,
0.1504951641147594... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -2.95,
"target_ratio": 0.97,
"target_value": -2.8615
} | 362 |
9551046ccc9dd029d28dbd33e8ca0f1e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [97, 98], "expectation_value": -5.499937479984526, "params": null, "bitstrings": ["0011110", "0011101"], "total_optimization_steps": 30, "probabilities": [1.6356460474867127e-05, 0.9999687407489224], "optimization_time": 30.255519151687622} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0011101"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.3663236075024421) q[0];
rz(0.06788378276183282) q[0];
rx(0.2786266742046423) q[1];
rz(0.1607403182741569) q[1];
rx(0.008444709122338223) q[2];
rz(0.15736575455056867) q[2];
rx(0.04037693558044568) q[3];
rz(0.21065412104015957) q[3];
rx(0.017583446972231423) q[4];
r... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IIIIZZI",
"IIIZIZI",
"IIZIIZI",
"ZIZIIII",
"ZIIIIZI",
"IZIIZII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IIIIIZI",
"ZIIIIII",
"IZIIIII"
] | [
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,
-1,
-1.5,
-1.5,
-1.5,
-1,
-0.5
] | 0.971456 | [
0.3663236075024421,
-0.002973983983354467,
0.2786266742046423,
0.046945913968455516,
0.008444709122338221,
0.20323283847374896,
0.04037693558044568,
0.2338359100568723,
0.017583446972231423,
0.3053595873227363,
0.3942089818562906,
0.08070056892999547,
0.21443493750771944,
-0.44391007638670... | {
"n_parameters": 135,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 5 |
d4330ca50c7e11a2ef645e484effbde2 | 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": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "s... | {"states": [191, 153], "expectation_value": -5.246686080092681, "params": [[0.1726], [-0.1832]], "bitstrings": ["101000000", "101100110"], "total_optimization_steps": 20, "probabilities": [0.011073094671452656, 0.01215063000869034], "optimization_time": 2.9332895278930664} | -1.25 * (Z(0) @ Z(2)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(0)) + 2.5 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(7)) + -1.25 * (Z(1) @ Z(5)) + -1.5 * (Z(1) @ Z(7)) + -1.5 * (Z(1) @ Z(8)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(7)) + -0.75 * (Z(6) @ Z(5)) + -1.25 * (Z(6) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["101100110"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.2622882689348001) q[0];
rz(-0.12539551542716332) q[0];
rx(-0.6420858985691934) q[1];
rz(0.02450966034577462) q[1];
rx(-0.003948278541108552) q[2];
rz(-0.12725017189151266) q[2];
rx(-0.2450817342347413) q[3];
rz(-0.14497568647068348) q[3];
rx(0.4737983588182048) 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] 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] ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIZIIIIZ",
"IZIIIIZII",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIZIIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IIIIIZZII",
"IIIZIZIII",
"IZIIIZIII",
"IIZZIIIII",
"IZZIIIIII",
"IIZIIZIII",
"IIIIZIZII",
"IZIIZIIII",
"ZIIIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"... | [
-1.25,
-0.25,
-0.5,
-0.75,
2.5,
-0.75,
-1.25,
-1.5,
-1.5,
-0.5,
-0.5,
-1,
-0.75,
-1.25,
-1,
-0.25,
-1,
-1,
-0.5,
-0.25,
1.25,
-0.75,
-0.75,
1.75,
0,
-3,
2.25
] | 0.97117 | [
-0.26228826893480006,
-0.36368508968482277,
-0.6420858985691934,
-0.1687732665922791,
-0.003948278541108552,
-0.10989513482201041,
-0.24508173423474128,
-0.23246293102332344,
0.4737983588182048,
0.06466018283837059,
-0.2620092086830588,
0.3056290733678249,
-0.1334774724548909,
-0.170745461... | {
"n_parameters": 178,
"n_qubits": 9,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 21 |
af1426b93324259832bd09f6b200fbec | 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": 7}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 3}, {"capac... | {"states": [1022, 511], "expectation_value": -11.256965726079569, "params": [[[-0.0125, 0.6891], [0.0031000000000000003, -0.09050000000000001], [0.0014, 0.0022], [0.0019, 0.0024000000000000002], [0.0044, 0.0029000000000000002], [0.0032, 0.0025], [0.0024000000000000002, 0.003], [0.0041, -0.0039000000000000003], [-0.1675... | -0.75 * (Z(0) @ Z(7)) + -0.25 * (Z(8) @ Z(0)) + -0.5 * (Z(1) @ Z(7)) + -0.5 * (Z(1) @ Z(8)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(6) @ Z(7)) + -0.75 * (Z(6) @ Z(1)) + 1.25 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(8)) + -0.25 * (Z(9) @ Z(1)) + -0.5 * (Z(9) @ Z(4)) + -0.75 * (Z(2) @ Z(7)) + -0.25 * (Z(2)... | 15 | 10 | 4 | {"smallest_eigenvalues": [-11.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.75, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 14.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.43911436483686694) q[0];
ry(-0.20545358219657) q[1];
ry(-0.0271890858039193) q[2];
ry(0.04674427763555417) q[3];
ry(-0.05447203295459801) q[4];
ry(-0.05514422313844254) q[5];
ry(-0.2383450167822496) q[6];
ry(0.04674427763555417) q[7];
ry(-0.10250813188129523) q[8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIZIIIIIIZ",
"IZIIIIIIIZ",
"IIZIIIIIZI",
"IZIIIIIIZI",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIZZIIIIII",
"IIIZIIIIZI",
"ZIIIIIIIIZ",
"ZZIIIIIIII",
"ZIIIIIIIZI",
"ZIIIIZIIII",
"IIZIIIIZII",
"IZIIIIIZII",
"IIIIIIZZII",
"IIIIIZIZII",
"ZIIIIIIZII",
"IIZIZIIIII",
"IIIIZIIIZI",
"IIIIZIZIII"... | [
-0.75,
-0.25,
-0.5,
-0.5,
-0.75,
-0.25,
-0.75,
-0.75,
1.25,
-0.5,
-0.25,
-0.5,
-0.75,
-0.25,
-1,
-0.75,
-0.25,
-0.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.5,
1,
-0.25,
0.5,
1.5,
-1,
1.5,
-1.25,
-0.75,
-1.5,
0.25
] | 0.971425 | [
-0.43911436483686694,
-0.20545358219657,
-0.0271890858039193,
0.04674427763555417,
-0.05447203295459801,
-0.05514422313844254,
-0.2383450167822496,
-0.10250813188129523,
2.442855153977941,
-0.036655751480943057,
0.051962963254931493,
-0.026929773433202103,
-0.10425998713315338,
-0.01035847... | {
"n_parameters": 31,
"n_qubits": 10,
"optimal_eigenvalue": -11.75,
"target_ratio": 0.97,
"target_value": -11.397499999999999
} | 34 |
068ca9ebc869ed2b6b1f40ca0469471e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [1022, 894], "expectation_value": -1.1344852048327052, "params": [0.31720000000000004, -0.08030000000000001, 0.3118, -0.0931, 0.3126, -0.07880000000000001, 0.313, -0.0915, 0.49470000000000003, -0.0653, 0.49660000000000004, -0.07980000000000001, 0.49260000000000004, -0.060200000000000004, 0.4959, -0.077400000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(5) @ Z(0)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(5) @ Z(6)) ... | 5 | 12 | 2 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 23, "first_excited_energy": -2.75, "smallest_bitstrings": ["100100000011", "011000100001", "010010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.3957985069517005) q[0];
h q[1];
ry(1.5114028040861018) q[1];
h q[2];
ry(-1.526922983837543) q[2];
h q[3];
ry(-1.526922983837543) q[3];
ry(-0.11440455969290664) q[4];
rz(-pi) q[4];
h q[5];
ry(-0.5672591944997557) q[5];
h q[6];
cx q[6], q[5];
ry(0.56725919449... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZZII",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIIIZZZII",
"IIIIIIIIIZIZ",
"IIIIIIZIIIIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIIZ",
"IIIIIIZIIZII",
"IIIIIZIIIZII",
"IIIIZIIIIZII",
"IIIIIZZIIIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIIIIZIIZIZ",
"IIIIIZIIIZIZ",
"IIIIZIIII... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.062... | 0.997874 | [
-1.526922983837543,
-1.4021260090422283,
1.3957985069517005,
1.5114028040861018,
-1.1345183889995114,
0.552255256194146,
-0.39609545392408263,
0.5830247778065006,
-0.30424605695940454,
0.31827948046517196,
-0.26416314121957485,
-0.10853151611952326,
-0.05051947752201759,
0.1195228129329295... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
27e77dc99416ada4c5d281f5cb59d253 | 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": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4... | {"states": [32, 55], "expectation_value": -5.395897748204695, "params": null, "bitstrings": ["1011111", "1001000"], "total_optimization_steps": 39, "probabilities": [0.11292546284772562, 0.72450709291946], "optimization_time": 36.967060804367065} | -0.25 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(4)) + -1.0 * Z(3) + -0.... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.75, -5.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.75, "smallest_bitstrings": ["1000000", "1001000"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.001861280777779208) q[0];
ry(-0.5773662085055048) q[1];
ry(-0.10758590765451301) q[2];
ry(0.021903783796151637) q[3];
ry(-0.008785686069597308) q[4];
ry(-0.055595892079957104) q[5];
ry(2.7673418599787256) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
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];\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", "... | [
"IIIZIIZ",
"ZIIIIIZ",
"ZIIIIZI",
"IIIZZII",
"IIIIZZI",
"IIZZIII",
"ZIZIIII",
"IIZIIZI",
"IIZIZII",
"IZIZIII",
"IZIIIZI",
"IZIIZII",
"IZZIIII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII",
"IZIIIII"
] | [
-0.25,
0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
-1,
-0.25,
-0.5,
1.5,
-0.5,
0.5,
0.25
] | 0.977551 | [
-0.001861280777779208,
-0.5773662085055048,
-0.10758590765451301,
0.021903783796151637,
-0.008785686069597308,
-0.055595892079957104,
2.7673418599787256,
0.05934540510533431,
0.06567533265908135,
-0.0026966537146873096,
0.0024350819685033907,
-0.12588591029733984,
-0.04433102940974164,
-0.... | {
"n_parameters": 25,
"n_qubits": 7,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 21 |
e0b770b7192404036ee976edfab3eb82 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target":... | {"states": [896, 897], "expectation_value": -5.640770418013022, "params": [[[1.6579000000000002, 0.0032], [1.7058, 0.0058000000000000005], [1.7102000000000002, 0.0046], [0.038900000000000004, 0.0063], [-0.0193, 0.0015], [0.4788, 0.0031000000000000003], [-0.002, 0.0008], [1.4709, 0.0048000000000000004], [0.6948000000000... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(9) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.5, "smallest_bitstrings": ["1001111010", "0001101111", "1001101011", "1001111001", "0001111101", "0001111110"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(2.8730527695877037) q[0];
rz(0.17613045015612655) q[0];
rx(3.1260371232093935) q[1];
rz(0.31312855146788654) q[1];
rx(2.8312883675789053) q[2];
rz(-0.4019004231342204) q[2];
rx(-0.19506878416909812) q[3];
rz(-0.6341414103698644) q[3];
rx(-0.01780144258605902) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIIZ",
"IIZIIIIIIZ",
"IIIIIZIIZI",
"IIZIIIZIII",
"IIIIIIZIZI",
"IIIZIZIIII",
"IIZZIIIIII",
"IIIZIIIIZI",
"IIIIIZIZII",
"IIIIIIZZII",
"IIIZIIIZII",
"IIIZZIIIII",
"IZIZIIIIII",
"IZIIZIIIII",
"ZIIZIIIIII",
"ZIIIZIIIII",
"ZZIIIIIIII",
"IIIIIZIIII",
"IIIIIIIIIZ",
"IIZIIIIIII"... | [
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,
-0.5,
-1,
-1,
-1,
-3,
-1,
-1,
-1,
-1
] | 0.979683 | [
2.8730527695877037,
0.17613045015612655,
3.1260371232093935,
0.31312855146788654,
2.8312883675789053,
-0.4019004231342204,
-0.19506878416909812,
-0.6341414103698644,
-0.01780144258605902,
0.012124189582806536,
-0.18745523286649954,
0.7177835565891784,
-0.07110636145090234,
-0.9518470563153... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 23 |
0227fd0262660357a7db3e0f6c7f2278 | 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}], "edges": [{"weight": 2, "source": 0, "target": 3}, {"weight": 12, ... | {"states": [213, 118], "expectation_value": -17.57879441497488, "params": [[0.0, 0.0199, 0.0152, 0.0099], [-0.0014, -0.0329, -0.0422, -0.055200000000000006]], "bitstrings": ["00101010", "10001001"], "total_optimization_steps": 10, "probabilities": [0.00987747692931869, 0.011934573480343378], "optimization_time": 6.3380... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(0)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 11.5 * Z(1) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-66.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 150.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.027365982549677238) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.027365982549677238) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.027365982549677238) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.027365982549677238) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZZIII",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIIZ",
"IZIIZIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11.5,
9,
14,
14.5,
8,
16,
12.5,
9
] | 0.980532 | [
-0.027365982549677238,
1.592618949151923,
-1.4329546286869304,
1.7054135985517422,
1.5904947995848453,
-1.053130351298244,
1.459491578953517,
1.7146146258034016,
-1.5092231146077384
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -66.5,
"target_ratio": 0.97,
"target_value": -64.505
} | 40 |
-2681984990663361079 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 6], [1, 4], [3, 5], [3, 4], [1, 6], [0, 6], [8, 4], [1, 3], [1, 7], [8, 3], [2, 5]]} | {"states": [141, 393], "expectation_value": -3.2378709511551818, "params": null, "bitstrings": ["101110010", "001110110"], "total_optimization_steps": 61, "probabilities": [0.07557439405930579, 0.7446570917920271], "optimization_time": 70.45878171920776} | 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(0) + ... | 1 | 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": ["110001001", "001110110", "101110010", "111100001", "000011110", "000011111", "111100000", "010001101"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] 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[3];
rz(0.6303460666596279) q[3];
cx q[6], q[3];
cx q[6], q[1];
rz(0.6303460666596279) q[1];
cx q[6], q[1];
cx q[3], q[1];
rz(0.6303460666596279) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(0.6303460666596279)... | 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[8], 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... | [
"IIZIIZIII",
"IIZIIIIZI",
"IIIIIZIZI",
"IIIIZZIII",
"IIIIZIIZI",
"IIIZIZIII",
"IIZIIIIIZ",
"ZIIIIZIII",
"ZIIIZIIII",
"IZIIIIIZI",
"IIIZIIZII",
"IIZIIIIII",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIZIIIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IZIIIIIII",
"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
] | 0.507118 | [
0.6303460666596279,
1.3873864926444478e-8,
-0.6971041238925086
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 100 |
2d66a63516707ef6fa08689003d445e4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capaci... | {"states": [32, 31], "expectation_value": -0.27115727867530703, "params": [[-0.038400000000000004, -0.0041, -0.0367, -0.0511], [0.06720000000000001, -0.0046, 0.018000000000000002, 0.048100000000000004]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.02044722552289708, 0.0211279... | -0.25 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + 0.25 * Z(4) + -0.25 * Z(0) + 0.75 * Z(1) + 0.25 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.045249314476118775) q[0];
ry(-0.09669560328563567) q[1];
ry(-0.03838379751098028) q[2];
ry(0.014164474914697217) q[3];
ry(1.3425228774533042) q[4];
ry(-1.5424621818592792) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[... | 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": []} | [
"IZIIIZ",
"IZIIZI",
"IIIZZI",
"IZZIII",
"IIZIZI",
"ZIIIIZ",
"ZIIIZI",
"ZIIZII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
-0.25,
-0.5,
-0.75,
-1,
-0.5,
0.5,
-0.5,
-0.5,
0.25,
-0.25,
0.75,
0.25,
-0.5,
-0.5
] | 0.975709 | [
-0.045249314476118775,
-0.09669560328563567,
-0.03838379751098028,
0.014164474914697217,
1.3425228774533042,
-1.5424621818592792,
0.042932205280697015,
0.41990295334686945,
-0.08410675703429009,
0.011798461387283209,
-0.05732375796055354,
-0.015000365546906917,
-0.27227999211895876,
0.0942... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 97 |
fc7b19754949f0e05a27875fb69f344a | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}]} | {"states": [24, 31], "expectation_value": -15.125493274049944, "params": null, "bitstrings": ["11100111", "11100000"], "total_optimization_steps": 54, "probabilities": [0.16125197062073443, 0.2518508410661102], "optimization_time": 61.678210973739624} | 2.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(4)) + 3.0 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -3.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.125 * (Z(2) @ Z(0)) + 9.0 * Z(4) + 4.5 * Z(... | 1 | 8 | 3 | {"smallest_eigenvalues": [-22.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.125, "smallest_bitstrings": ["11100000"], "largest_eigenvalue": 53.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.039738840687134236) q[0];
rz(-0.2353337499900654) q[0];
rx(-0.039738840687134236) q[1];
rz(-0.021455568999004995) q[1];
rx(0.00241554966618817) q[2];
rz(0.13687828871885735) q[2];
rx(2.1135641398643044) q[3];
rz(0.09140913237800194) q[3];
rx(3.251386907726556) q[4... | null | {"source": 0, "sink": 3} | {"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(62.9199) 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... | [
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIZIIII",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII"
] | [
2,
6,
3,
-1,
-0.5,
-1.5,
-2,
-1,
-3,
1,
-0.25,
-0.25,
-0.125,
9,
4.5,
13.5,
-1.5,
-3,
-1,
-0.5,
-0.5
] | 0.972155 | [
-0.039738840687134236,
-0.2358725824553829,
-0.021455568999004995,
0.00241554966618817,
0.13687828871885735,
2.1135641398643044,
0.09140913237800194,
3.251386907726556,
0.10228857007698645,
3.096010759129636,
-0.05175610628712672,
-2.9402631276470084,
0.16839375237658555,
-2.80609486114488... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -22.125,
"target_ratio": 0.97,
"target_value": -21.46125
} | 4 |
18da590fe700e31fa390d98ebb622e6e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 8}, {"capac... | {"states": [16, 511], "expectation_value": -0.11826067923857546, "params": [[0.0078000000000000005, 0.40890000000000004, 0.0085, 0.0025, 0.0083, 0.007200000000000001, 0.0032, 0.0067, 0.0067, 0.008], [0.0, 0.4078, -0.003, 0.0058000000000000005, 0.0078000000000000005, 0.0014, 0.003, 0.0076, 0.0034000000000000002, 0.006]]... | -0.75 * (Z(0) @ Z(2)) + -1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -0.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(6)) + 2.75 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(8)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(6)) + -1.0 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(8)) + -1.0 * (Z(4) @ Z(9)) + -0.75 * (Z(3) @ ... | 9 | 10 | 2 | {"smallest_eigenvalues": [-14.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 20.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.11730681278691124) q[0];
ry(0.03464451813421773) q[1];
ry(-0.1278182536417605) q[2];
ry(0.18790720199327332) q[3];
ry(0.21774116380968433) q[4];
ry(0.145106516483046) q[5];
ry(0.3520632481794399) q[6];
ry(-0.03847839484162681) q[7];
ry(-0.4783217543588182) q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIZIIIIIZ",
"IZIIIIIZII",
"IZIIIIIIIZ",
"IZIZIIIIII",
"ZIIIIIIIIZ",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIZZI",
"IIIZIIIIZI",
"IIIIIZIZII",
"IZIIIZIIII",
"ZIIIIZIIII",
"IIIIIIZZII",
"IZIIIIZIII",
"ZIIIIIZIII",
"ZIZIIIIIII",
"IIZIIZIIII",
"IIZIIIZIII",
"IIIIZIIZII"... | [
-0.75,
-1,
-0.5,
-0.75,
-0.5,
2.75,
-1,
-0.5,
-0.75,
-0.25,
-1,
-1.25,
-1,
-0.75,
-0.25,
-0.25,
-0.5,
-0.5,
-0.75,
-0.75,
-1.25,
-0.75,
-1,
-2.5,
-0.25,
0,
-0.5,
-1.5,
1,
1.25,
1.5,
-0.75,
1.75
] | 0.970015 | [
-0.11730681278691124,
0.03464451813421773,
-0.1278182536417605,
0.18790720199327332,
0.21774116380968433,
0.145106516483046,
0.3520632481794399,
-0.03847839484162681,
-0.4783217543588182,
-0.20967393105319948,
-0.25860938687778523,
-0.06575229547788292,
-0.004050491993081665,
-0.0027173357... | {
"n_parameters": 65,
"n_qubits": 10,
"optimal_eigenvalue": -14.25,
"target_ratio": 0.97,
"target_value": -13.8225
} | 62 |
cad641d981f27f8814cde398a8be85de | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 4, "source": 0, "t... | {"states": [230, 118], "expectation_value": -15.69894234995331, "params": [[-0.04, -0.0162, -0.0043], [0.065, 0.0446, 0.0308]], "bitstrings": ["00011001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.012940047996756136, 0.014473013740872035], "optimization_time": 5.586197853088379} | 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(4) @ Z(6)) + 6.5 * Z(0) + 15.0 * Z(3) + 16.5 * Z(1) + 19.0 * Z(2) + 1... | 1 | 8 | 3 | {"smallest_eigenvalues": [-66.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 143.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.02033561922445927) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(-0.02033561922445927) q[1];
cx q[0], q[1];
cx q[0], q[2];
rz(-0.02033561922445927) q[2];
cx q[0], q[2];
rz(-1.0904508794533765) q[0];
rx(-1.3918607712073752) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIIIIZZ",
"IIIIZIZI",
"IIIIIZIZ",
"IIIIZZII",
"IIIIIZZI",
"IIZIIZII",
"IZIIZIII",
"IZZIIIII",
"IIIZIIZI",
"IIZZIIII",
"IZIZIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"IIIZIIII",
"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,
6.5,
15,
16.5,
19,
11,
10.5,
5,
-5.5
] | 0.972252 | [
-0.02033561922445927,
-1.0904508794533765,
1.055304006344118,
1.1022288573420782,
1.6506512967533449,
1.4760983386336486,
1.5476974332698752,
-1.30212635577519,
-1.2415512013508558,
-1.3918607712073752,
0.29625920554545454,
0.21553265290304796,
0.8281149278783257,
1.5868965368529901,
0.5... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -66,
"target_ratio": 0.97,
"target_value": -64.02
} | 34 |
a645ae3643161db4224eacb5097991ef | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [2915, 2923], "expectation_value": -2.4861881669032506, "params": [1.3367, 0.5765, 0.1506, 0.9548000000000001, 1.4053, -0.0025, 1.4038000000000002, -0.3171, 0.36060000000000003, -0.5605, 1.3995, -0.034, 1.3989, 0.2676, 0.3788, 0.45220000000000005, 0.8952, -0.326, 0.37260000000000004, -0.5537000000000001, 1.4... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(5)) + -0.125 * (Z(2) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(2) @ Z(3) @ Z(4... | 18 | 12 | 2 | {"smallest_eigenvalues": [-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, -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], "number_of_smallest_eigenvalues": 31, "first_excited_energy": -2.5, "smallest_bitstrings": ["110010000100",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.36080722853948355) q[0];
rz(0.0996859129594938) q[0];
rx(-0.13056929312637028) q[1];
rz(0.19671215211179605) q[1];
rx(0.6735834332027599) q[2];
rz(0.10719354986465578) q[2];
rx(0.7023405252413965) q[3];
rz(0.23632430860056663) q[3];
rx(0.04762823733000421) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZZII",
"IIIIIIIZIZII",
"IIIIIIZIIZII",
"IIIIIIIZZIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIIIZZZII",
"IIIIIIZIZZII",
"IIIIIIZZIZII",
"IIIIIIZZZIII",
"IIIIIIZZZZII",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIIZ",
"IIIIIZIIIZII",
"IIIIZIIIIZII",
"IIIIZZIII... | [
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,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
... | 0.973415 | [
0.36080722853948344,
0.09626794605094101,
-0.13056929312637028,
0.19671215211179605,
0.6735834332027599,
0.10719354986465578,
0.7023405252413965,
0.23632430860056663,
0.04762823733000421,
-0.376581061409579,
0.6521420165365777,
0.007883441816705363,
0.6497910334820518,
0.14400396751876127,... | {
"n_parameters": 139,
"n_qubits": 12,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 20 |
3955320569394152503 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 3, 4, 6], [8, 2, 6], [8, 5], [1, 2, 6], [0, 8, 4, 6], [0, 8, 2, 7], [8, 3, 7], [8, 2, 3], [8, 4, 6, 7], [8, 0, 2, 4], [5, 6], [2, 3, 6, 7], [5, 7], [1, 3, 5]]} | {"states": [487, 423], "expectation_value": -2.9348649242939713, "params": [1.375, 1.3866, 0.9792000000000001, 1.3991, 0.8358, 0.7579, 1.3958000000000002, 1.3900000000000001, 0.5292, 0.6777000000000001, 0.17600000000000002, 0.1763, 1.4003, 1.3925, 1.3894, 1.3858000000000001, 1.3796000000000002, 1.3881000000000001, 1.11... | 0.21666666666666667 * (Z(0) @ Z(2)) + 0.3 * (Z(3) @ Z(2)) + 0.05 * (Z(3) @ Z(0)) + 0.13333333333333333 * (Z(4) @ Z(2)) + 0.21666666666666667 * (Z(4) @ Z(0)) + 0.05 * (Z(4) @ Z(3)) + 0.4666666666666666 * (Z(6) @ Z(2)) + 0.13333333333333333 * (Z(6) @ Z(0)) + 0.13333333333333333 * (Z(6) @ Z(3)) + 0.21666666666666667 * (Z(... | 14 | 9 | 1 | {"smallest_eigenvalues": [-4.2], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.866666666666667, "smallest_bitstrings": ["001011000"], "largest_eigenvalue": 12.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.5952888953437019) q[0];
rz(pi/2) q[0];
ry(0.49498838913108073) q[1];
ry(0.44048529602360664) q[2];
ry(1.3383496428667194) q[3];
ry(0.5743275807242392) q[4];
ry(0.004084943935685453) q[5];
ry(1.450855119487118) q[6];
ry(1.1871900522280403) q[7];
ry(1.574047372547196... | 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",
"IIIIZIZII",
"IIIIZIIIZ",
"IIIIZZIII",
"IIZIIIZII",
"IIZIIIIIZ",
"IIZIIZIII",
"IIZIZIIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIZIZIII",
"IIZZIIIII",
"ZIIZIIIII",
"IIIIIIZZI",
"IIIIIZIZI",
"IIZIIIIZI",
"... | [
0.21666666666666667,
0.3,
0.05,
0.13333333333333333,
0.21666666666666667,
0.05,
0.4666666666666666,
0.13333333333333333,
0.13333333333333333,
0.21666666666666667,
0.49999999999999994,
0.25,
0.3333333333333333,
0.25,
0.3333333333333333,
0.16666666666666666,
0.5,
0.5,
0.16666666666... | 0.975643 | [
1.5952888953437019,
0.49498838913108073,
0.44048529602360664,
1.3383496428667194,
0.5743275807242392,
0.004084943935685453,
1.450855119487118,
1.1871900522280403,
1.5740473725471968,
1.0019754894048503,
0.5913313768802501,
0.23519039534940722,
-0.4963786242566735,
-0.02922413666578773,
-... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -4.2,
"target_ratio": 0.97,
"target_value": -4.074
} | 48 |
8c44c442a25e00dfae4e1647b2faf79f | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [6, 3], "expectation_value": -7.0656952876822015, "params": null, "bitstrings": ["11001", "11100"], "total_optimization_steps": 29, "probabilities": [0.13151145307142467, 0.6825224339075274], "optimization_time": 28.740375757217407} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 1.75 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 16 | 5 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022216824968526526) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022216824968526526) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022216824968526526) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.6284369302106981) q[3];
cx q[1], q[... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
2,
1.75,
1.75,
2,
2,
1.75,
-2.75,
-2.5,
-2.75,
-2.5,
-2.5
] | 0.720045 | [
0.022216824968526526,
0.6284369302106981,
-1.317266113042237,
0.027624710446691313,
-0.865652482486156
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 144 |
985edb9810580f42105e58073ed960e5 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [3157, 2133], "expectation_value": -111.9484375258961, "params": [2.7923, 0.0017000000000000001, 1.4859, 0.005, -0.0025, 0.004200000000000001, 0.0023, 0.0023, -0.0029000000000000002, 0.0059, 2.8014, 0.0089, 0.9649000000000001, 0.0088, 2.7939000000000003, 0.0094, 0.7162000000000001, 0.0035, 2.7941000000000003... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(6) @ Z(0)) + 8.0 * (Z(7) @ Z(1)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(8) @ Z(5)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(11) @ Z(1)) + 8.0 * (Z(11) @ Z(7)) + 8.0 * (Z(10) @ Z(9)) + 8.0 * (Z(10) @ Z(11)) + 6.5 * Z(0) + 12.5 * Z(1) + -6.0 * Z(4) + 9.0 * Z(5) + 4.5 * Z(6) + 17.0 *... | 18 | 12 | 1 | {"smallest_eigenvalues": [-138.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -125.0, "smallest_bitstrings": ["011110101010"], "largest_eigenvalue": 185.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-2.8632553518219104) q[0];
rz(-0.1988252760616902) q[0];
rx(0.49912914815252857) q[1];
rz(-0.15821475186544753) q[1];
rx(0.03380397994600312) q[2];
rz(-0.21419636046259655) q[2];
rx(-0.3497745435089625) q[3];
rz(-0.3497745435089625) q[3];
rx(0.09936983000898314) 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, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIZIIIII",
"IIZZIIIIIIII",
"ZIIIIIIIIIZI",
"ZIIIZIIIIIII",
"IZZIIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIIZ",
"IIIIIIIIIIZI",
"IIIIIIIZIIII",
"IIIIIIZIIIII",
"IIIIIZIIIIII",
"IIIIZIIIIIII",
"IIIZIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
6.5,
12.5,
-6,
9,
4.5,
17,
2.5,
5.5,
17,
2,
-14.5,
-12
] | 0.973309 | [
3.4199299553576763,
-0.1935071336543261,
0.49912914815252857,
-0.15821475186544753,
0.03380397994600312,
-0.21419636046259655,
-0.3497745435089625,
0.09936983000898314,
-0.13550344400134987,
3.156973855384526,
-0.5182062066577254,
0.2452202914049301,
-0.0814063724528025,
3.090732404337264,... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -138,
"target_ratio": 0.97,
"target_value": -133.85999999999999
} | 14 |
a4887282391b847c36275b441eb6d545 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": ... | {"states": [3, 20], "expectation_value": -2.2510400003156095, "params": [[-0.0502, -0.048400000000000006, -0.0584, -0.06960000000000001], [0.0665, 0.0545, 0.0636, 0.0688]], "bitstrings": ["111100", "101011"], "total_optimization_steps": 10, "probabilities": [0.034533171707579975, 0.034533171707579996], "optimization_ti... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(1) + -2.0 * Z(0) + -2.0 *... | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["111100", "101011"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.5947826491304309) q[0];
ry(-3.1353499367076596) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5947826491304309) q[2];
h q[3];
ry(1.4438293180331603) q[3];
ry(-0.08654683917800882) q[4];
rz(-pi) q[4];
cx q[3], q[4];
ry(0.08255773053450952) q[4];
cx q[3], q[4];
ry(-0.08... | 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",
"IIIZZI",
"IIIZIZ",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
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,
-1.5,
-1.5,
-1.5
] | 0.999195 | [
-1.5947826491304309,
-1.4016917570823781,
1.4438293180331603,
-0.16511546106901903,
0.2414485837592053,
0.10282247901678558
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
b7602418da2fb1da8d0e3bf56e052253 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, ... | {"states": [852, 860], "expectation_value": -1.417672554865422, "params": [[[0.48090000000000005, 0.0892], [0.504, 0.0814], [0.09770000000000001, 0.057300000000000004], [0.5016, 0.032], [0.2926, -0.1758], [0.4002, 0.5057], [0.2883, 0.49520000000000003], [0.22870000000000001, 0.5003000000000001], [0.48310000000000003, 0... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0... | 15 | 10 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.25, "smallest_bitstrings": ["0010101001", "1010001001", "1010000110", "0010100110", "1000011001", "1000010110", "1000010011", "1001010001", "0001110001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.19413541781266302) q[0];
rz(0.4737143075248884) q[0];
rx(1.3481450265531563) q[1];
rz(0.7101312274980032) q[1];
rx(0.08114689032242231) q[2];
rz(0.39298482269195745) q[2];
rx(0.05382342065610063) q[3];
rz(-0.4688239600116697) q[3];
rx(1.4947674538218447) 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": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIIZZIZ",
"IIIIIIZZZI",
"IIIIIIZZZZ",
"IIIIIZIIIZ",
"IIIIZZIIII",
"IIIZIZIIII",
"IIZIIZIIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IIIZZZIIII",
"IIZIZZIIII"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
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,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.125,
0.125,
-0.1... | 0.970244 | [
-0.19413541781266297,
0.4032852255685598,
1.3481450265531563,
0.35847725960509413,
0.08114689032242232,
0.23884228912775574,
0.05382342065610062,
-0.3631398892310509,
1.4947674538218447,
0.14683342555344495,
1.7859017636948948,
0.04798825882582202,
1.7853225188419513,
0.28173152310392174,
... | {
"n_parameters": 38,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 21 |
9b58e32b519a855baf8fae50f608e54a | 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": [948, 436], "expectation_value": -86.53515449838045, "params": [[[0.8140000000000001, 0.07100000000000001], [0.4928, 0.0959], [0.9734, 0.2419], [0.22160000000000002, 0.20320000000000002], [0.31870000000000004, 0.249], [0.9689000000000001, 0.5009], [0.0519, 0.4384], [0.6774, 0.7611], [0.1531, 0.5545], [-0.051... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(4) @ Z(0)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(7) @ Z(3)) + 6.0 * (Z(7) @ Z(5)) + 6.0 * (Z(8) @ Z(1)) + 6.0 * (Z(8) @ Z(7)) + 6.0 * (Z(9) @ Z(2)) + 5.0 * Z(0) + 5.5 * Z(1) + 9.5 * Z(2) + 8.0 * Z(3) + 13.5... | 15 | 10 | 4 | {"smallest_eigenvalues": [-95.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.5, "smallest_bitstrings": ["1001001011"], "largest_eigenvalue": 153.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.1664528559691631) q[0];
ry(0.5315280932419957) q[1];
ry(1.2381840736838325) q[2];
ry(0.546833841039228) q[3];
ry(0.18619162485948249) q[4];
ry(0.8647957257231758) q[5];
ry(0.10445226485765556) q[6];
ry(0.8765641180523245) q[7];
ry(-0.07704860457382369) q[8];
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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZIIIZ",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIZIIIZIII",
"IIZIZIIIII",
"IZIIIIIIZI",
"IZZIIIIIII",
"ZIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
5,
5.5,
9.5,
8,
13.5,
20.5,
2,
15.5,
3,
-1
] | 0.974332 | [
1.1664528559691631,
0.5315280932419957,
1.2381840736838325,
0.546833841039228,
0.18619162485948249,
0.8647957257231758,
0.10445226485765556,
0.8765641180523245,
-0.07704860457382369,
-0.28943947804694686,
0.10983888977964928,
0.10935180965003197,
0.07171151675620331,
0.040518512237792945,
... | {
"n_parameters": 79,
"n_qubits": 10,
"optimal_eigenvalue": -95.5,
"target_ratio": 0.97,
"target_value": -92.63499999999999
} | 69 |
-5458566820362682141 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 3, 4, 5, 6, 8], [1, 2, 6, 7], [1, 2, 4, 6, 9], [8, 2, 5], [0, 4, 5, 6, 7], [1, 5, 9, 7], [1, 2, 4, 7, 9], [9, 2, 3, 4], [0, 1, 2, 4, 7], [8, 2, 6], [0, 1, 3, 6], [9, 4, 5, 6], [2, 3, 5, 7], [1, 2, 3, 4, 7, 8]]} | {"states": [440, 504], "expectation_value": -0.8901831581275829, "params": [[-0.18460000000000001], [0.1789]], "bitstrings": ["1001000111", "1000000111"], "total_optimization_steps": 20, "probabilities": [0.0015961095402218638, 0.0016269588701735207], "optimization_time": 5.396683692932129} | 0.11666666666666667 * (Z(0) @ Z(3)) + 0.15 * (Z(4) @ Z(3)) + 0.13333333333333336 * (Z(4) @ Z(0)) + 0.11666666666666667 * (Z(5) @ Z(3)) + 0.08333333333333334 * (Z(5) @ Z(0)) + 0.16666666666666669 * (Z(5) @ Z(4)) + 0.11666666666666667 * (Z(6) @ Z(3)) + 0.16666666666666669 * (Z(6) @ Z(0)) + 0.21666666666666667 * (Z(6) @ Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-3.283333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.2166666666666677, "smallest_bitstrings": ["1000000111"], "largest_eigenvalue": 14.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.007919283374580944) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.0015345967961946268) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.011959532486166862) q[4];
cx q[0], q[4];
h q[5];
cx q[3], q[5];
rz(0.0079192833745809... | 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": []} | [
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIIZIZIII",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIZIIZIII",
"IIIZIIIIIZ",
"IIIZIZIIII",
"IIIZZIIIII",
"IZIIIIZIII",
"IZIIIIIIIZ",
"IZIIIZIIII",
"IZIIZIIIII",
"IZIZIIIIII",
"IIIIIIZIZI",
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIZIIIZI",
"IIIZIIIIZI"... | [
0.11666666666666667,
0.15,
0.13333333333333336,
0.11666666666666667,
0.08333333333333334,
0.16666666666666669,
0.11666666666666667,
0.16666666666666669,
0.21666666666666667,
0.16666666666666669,
0.06666666666666667,
0.03333333333333333,
0.06666666666666667,
0.19999999999999998,
0.1999999... | 0.971908 | [
0.007919283374580944,
0.0015345967961946268,
-0.011959532486166862,
-0.0303342728399956,
0.026935067041343557,
0.0007427926007313277,
-0.034621288682552404,
0.02830584388056557,
-0.059830257936537665,
-0.015222551782098533,
0.00011107552317147357,
0.035264411101592015,
0.044519100805154484,
... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -3.283333333333335,
"target_ratio": 0.97,
"target_value": -3.184833333333335
} | 189 |
6512650cf6e89a13be11a148f896da5d | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [254, 238], "expectation_value": -2.141117343959153, "params": [-0.0004, -0.0035, 0.29400000000000004, 0.2908, 0.49610000000000004, 0.4979, 0.5037, 0.5023, 0.4993, 0.5064000000000001, 0.2902, 0.29000000000000004, 0.499, 0.5065000000000001, 0.5068, 0.4998, 0.5047, 0.5011, -0.0064, -0.0017000000000000001, -0.0... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(4) @ Z(1) @ Z(2)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 14 | 10 | 2 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.875, "smallest_bitstrings": ["1100010001", "1100000101", "1101000001", "1000110001", "1010010001", "1001001001", "1001010001"], "largest_eigenvalue": 6.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.183297687329079) q[0];
rz(-0.03664039058173074) q[0];
rx(0.1260084799916275) q[1];
rz(0.8472975682950814) q[1];
rx(0.1212579490174453) q[2];
rz(-0.002983955011109707) q[2];
rx(-0.14987668680080724) q[3];
rz(0.7146256211124697) q[3];
rx(1.0460298228262972) 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",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIZZZI",
"IIIIIZIZZI",
"IIIIIZZIZI",
"IIIIIZZZII",
"IIIIIZZZZI",
"IIIIZIIIZI",
"IIIZIIIIZI",
"IIIZZIIIII",
"IIIZZIIIZI",
"IIIIIIIZIZ",
"IIZIIIIIIZ",
"IZIIIIIIIZ",
"IIZIIIIZII",
"IZIIIIIZII"... | [
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,
0.125,
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,
0.125,
... | 0.972407 | [
1.183297687329079,
0.11165584030740083,
0.1260084799916275,
0.5578048984124397,
0.12125794901744529,
0.09852660045503009,
-0.14987668680080726,
0.5980883483780792,
1.0460298228262972,
0.04247638264942648,
0.9661083981195688,
-0.23005470247308346,
-0.14241558920246883,
0.2010463011399342,
... | {
"n_parameters": 58,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 14 |
c513b3f9e92fab9360fc637fed72bb83 | 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": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target": 9}, {"capac... | {"states": [0, 1], "expectation_value": -8.344607217718494, "params": [0.00030000000000000003, -0.2141, 0.005200000000000001, -0.2792, 0.0031000000000000003, -0.2336, 0.0006000000000000001, -0.281, 0.0039000000000000003, -0.24180000000000001, 0.0024000000000000002, -0.24630000000000002, -0.0002, -0.28450000000000003, 0... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + 1.25 * (Z(9) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(9)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ ... | 5 | 10 | 2 | {"smallest_eigenvalues": [-10.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.2006787591129485) q[0];
rz(1.5111373121971567) q[0];
rx(0.008533205045735058) q[1];
rz(1.7868635420623642) q[1];
rx(-0.011585748536171918) q[2];
rz(1.5898520776238634) q[2];
rx(-0.08394752394391941) q[3];
rz(1.8689766124662555) q[3];
rx(0.008533205045735057) 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[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"ZIIIIIIIIZ",
"IIIIIIIZZI",
"ZIIIIIIZII",
"IIIIZIIIZI",
"IIZIZIIIII",
"IIIIZIIZII",
"IIIZIIIIZI",
"IIZZIIIIII",
"IIZIIIZIII",
"IIIIIIZZII",
"IIIIZIZIII",
"IIIZIIZIII",
"IIZIIZIIII",
"IIIIZZIIII",
"IIIZIZIIII",
"IIIIIZZIII",
"IZIIIIIZII"... | [
-0.5,
-0.5,
-0.5,
1.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
0.75,
1,
0,
-0.25,
-0.5,
-0.25,
0,
-0.25
] | 0.978625 | [
-0.20067875911294852,
-0.05965901459774062,
0.008533205045735057,
0.21606721526746786,
-0.01158574853617192,
0.019055750828967807,
-0.08394752394391941,
0.29818028567135796,
0.15390388893321932,
-0.012954804646189033,
0.37586173891171687,
-0.12008364184354088,
0.18731012752276124,
-0.13200... | {
"n_parameters": 124,
"n_qubits": 10,
"optimal_eigenvalue": -10.25,
"target_ratio": 0.97,
"target_value": -9.942499999999999
} | 8 |
9b6c90aee56ab84919f7c826e678a024 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [35, 37], "expectation_value": -2.3403891236552696, "params": null, "bitstrings": ["011100", "011010"], "total_optimization_steps": 31, "probabilities": [0.09171740636696295, 0.7966511080330144], "optimization_time": 35.76844811439514} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(2)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(5)) + -0.125 * (Z(3) @ Z(2) @ Z(5)) + 0.12... | 1 | 6 | 4 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.375, "smallest_bitstrings": ["101010", "011010", "011100"], "largest_eigenvalue": 4.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.715232848262334) q[0];
h q[1];
ry(-0.030328296195851544) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.715232848262334) q[3];
cx q[1], q[3];
ry(0.715232848262334) q[3];
cx q[1], q[3];
ry(0.8365951312196482) q[1];
ry(-0.137398110733318) q[3];
h q[4];
cx q[4], q[0];
ry(... | 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(-1.5158) 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",
"IZZIII",
"IIIZIZ",
"IIZIIZ",
"ZIIIIZ",
"IIZZII",
"ZIIZII",
"ZIZIII",
"IIZZIZ",
"ZIIZIZ",
"ZIZIIZ",
"ZIZZII",
"ZIZZIZ",
"IZIIZI",
"ZIIIZI",
"ZZIIII",
"ZZIIZI",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
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,
-0.125,
-0.25,
-0.625,
-0.125,
-0.25,
0.125
] | 0.971164 | [
-1.5328804564516896,
-1.430465696524668,
1.0834096726626357,
0.8365951312196482,
-0.5509012021507701,
-0.274796221466636,
0.5569995611029345,
-0.19436412134691167,
0.4190248734622253,
-0.1534221934072706,
-0.34688012124946255,
0.35811511996319667,
0.3114564153778113,
-0.27922289113440785,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 4 |
24ad81747c6bd1903cd58d045c41656e | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 7}, {"weight": 15, "source": 0, "target": 6}, {"weight": 4, "source": 2, "tar... | {"states": [219, 218], "expectation_value": -68.16999511146152, "params": [0.29150000000000004, 0.48660000000000003, 1.0606, -0.013600000000000001, 1.0579, 0.19290000000000002, 0.01, 0.6133000000000001, 1.0575, -0.0132, 1.059, 0.2886, 0.009000000000000001, 0.6881, 1.0639, 0.0, 0.5077, 0.40540000000000004, 0.2869, 0.462... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(7)) + 16.5 * Z(2) + 5.0 * Z(0) + 16.5 * ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 145.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.18987318583714946) q[0];
rz(0.08611570117784861) q[0];
rx(3.008708522618427) q[1];
rz(0.37688852047103694) q[1];
rx(3.172182647066266) q[2];
rz(0.05701815205645913) q[2];
rx(-0.05299085269519477) q[3];
rz(0.0924171370297011) q[3];
rx(2.8889981301055943) 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[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIZIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"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,
16.5,
5,
16.5,
10,
2,
6.5,
2,
14.5,
14
] | 0.974941 | [
0.1898731858371494,
0.09588051186810906,
3.008708522618427,
0.37688852047103694,
3.172182647066266,
0.05701815205645913,
-0.05299085269519477,
0.0924171370297011,
2.8889981301055943,
-0.24767705590774858,
3.2637002917143807,
0.06598201778939591,
0.0961968789558263,
-0.15922885735698689,
... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -72.5,
"target_ratio": 0.97,
"target_value": -70.325
} | 8 |
78df5020371fd34d72b5173f19cc0fb1 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 7, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 6, "source": 0, "target":... | {"states": [1023, 1015], "expectation_value": -32.85850067551705, "params": [[[0.0081, -0.0023], [-0.0017000000000000001, -0.0028], [-0.0011, -0.0023], [0.0054, -0.0028], [-0.0007, -0.0027], [-0.0048000000000000004, -0.0022], [-0.010400000000000001, 0.002], [-0.5503, -0.0019], [-0.0002, -0.0018000000000000002], [-1.596... | -1.75 * (Z(0) @ Z(5)) + -1.75 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(0)) + -1.5 * (Z(7) @ Z(5)) + -1.5 * (Z(7) @ Z(0)) + -1.25 * (Z(8) @ Z(5)) + -0.25 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(7)) + -0.25 * (Z(1) @ Z(7)) + -1.75 * (Z(1) @ Z(8)) + -1.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -1.0 * (Z(4) @ Z(5)) + -0.5 * (Z(4) ... | 15 | 11 | 3 | {"smallest_eigenvalues": [-36.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -35.5, "smallest_bitstrings": ["10000001000"], "largest_eigenvalue": 41.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.044376602231709736) q[0];
ry(0.07510808618607326) q[1];
ry(0.11975134431565136) q[2];
ry(0.09626216033946058) q[3];
ry(-0.09195359817166984) q[4];
ry(0.09884841447201247) q[5];
ry(0.04793822617824074) q[6];
ry(1.4598779056746123) q[7];
ry(-0.046467281005655114) 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": 10} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIIZ",
"IIIIZZIIIII",
"IIIIZIIIIIZ",
"IIIZIZIIIII",
"IIIZIIIIIIZ",
"IIZIIZIIIII",
"IIZIIIIIIIZ",
"IIZZIIIIIII",
"IIIZIIIIIZI",
"IIZIIIIIIZI",
"IIIIIZIZIII",
"IIIIIIIZIZI",
"IIIIIZZIIII",
"IIZIIIZIIII",
"IIIIIIZIIZI",
"IIIIIIZZIII",
"IZIIIZIIIII",
"IZIIZIIIIII",
"IZIIIIIII... | [
-1.75,
-1.75,
-0.75,
-1.5,
-1.5,
-1.25,
-0.25,
-0.5,
-0.25,
-1.75,
-1.75,
-0.5,
-1,
-0.5,
-1.25,
-1.25,
-1.75,
-0.25,
-1.25,
-0.25,
-1.25,
-1,
-0.5,
-1,
-2.5,
-1,
-0.75,
4.5,
-1,
-1.25,
-1.75,
-0.5,
-0.5,
1,
-0.25,
-1.75,
-4.25,
5,
3.75,
... | 0.970339 | [
-0.044376602231709736,
0.07510808618607326,
0.11975134431565136,
0.09626216033946058,
-0.09195359817166984,
0.09884841447201247,
0.04793822617824074,
1.4598779056746123,
-0.046467281005655114,
0.07378539740320367,
2.794338579855965,
-0.23607031558949912,
-0.05449623565373681,
0.02301426077... | {
"n_parameters": 38,
"n_qubits": 11,
"optimal_eigenvalue": -36.5,
"target_ratio": 0.97,
"target_value": -35.405
} | 16 |
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