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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
7a0d4423aa0ea6dfcc8e478dc00ab0ee | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": ... | {"states": [1012, 1008], "expectation_value": -16.141194757696457, "params": null, "bitstrings": ["0000001011", "0000001111"], "total_optimization_steps": 100, "probabilities": [0.10237682097847772, 0.5165786529392798], "optimization_time": 239.32614302635193} | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(1)) + -2.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -2.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + -2.5 * (Z(8) @ Z(7)) + 1.0 * (Z(8) @ Z(6)) + 0.5 ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["0000001111"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-1.2553074750957367) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.20782514596201665) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.20782514596201665) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.732148886734807) q[3];
cx q[1], q[... | null | {"node": 10} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) 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... | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIZZII",
"IIIIIIZIZI",
"IIIIZIIZII",
"IIIIZIIIIZ",
"IIIIZIIIZI",
"IIIIZIZIII",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIIZZIIII",
"IIZZIIIIII",
"IZZIIIIIII",
"IZIZIIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII"... | [
-1.5,
0.5,
0.5,
-2,
-2.5,
0.5,
-2,
-2.5,
0.5,
-2,
0.5,
-2,
-2.5,
1,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-2,
1
] | 0.550551 | [
-1.2553074750957367,
-0.20782514596201665,
-0.732148886734807,
-0.5521231371876444,
-0.014896734589454374,
-1.0029196421095894
] | {
"n_parameters": 6,
"n_qubits": 10,
"optimal_eigenvalue": -22,
"target_ratio": 0.97,
"target_value": -21.34
} | 180 |
d2e3f71e5c020057da0dd1812bdf6517 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [48765, 56190], "expectation_value": -6.0010542464481285, "params": [[-0.1776], [0.17950000000000002]], "bitstrings": ["0100000110000010", "0010010010000001"], "total_optimization_steps": 20, "probabilities": [8.65523827710716e-05, 8.65523827710716e-05], "optimization_time": 20.629294633865356} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z... | 1 | 16 | 1 | {"smallest_eigenvalues": [-13.999999999999956], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.999999999999917, "smallest_bitstrings": ["0010010010000001"], "largest_eigenvalue": 46.00000000000007} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(1.1661276350304126) q[0];
rz(0.1368317091350482) q[0];
ry(0.04120953092979138) q[1];
rz(0.6237278116787298) q[1];
cz q[1], q[0];
ry(0.8639209804903288) q[0];
rz(-0.20514548926058004) q[0];
ry(0.1701074616062198) q[1];
ry(0.11262869094573309) q[2];
rz(0.3181473576708... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
c... | {"number_of_colors": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIIZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
0... | 0.975208 | [
1.1661276350304126,
0.1368317091350482,
0.04120953092979138,
0.6237278116787298,
0.11262869094573309,
0.3181473576708103,
0.734978694415438,
-0.2651028550205645,
-0.11298443044296277,
-0.5003240831397697,
0.31670140934387114,
0.2559084340847741,
0.0720191758938528,
0.2177008887266607,
0.... | {
"n_parameters": 181,
"n_qubits": 16,
"optimal_eigenvalue": -13.999999999999932,
"target_ratio": 0.97,
"target_value": -13.579999999999934
} | 75 |
2c69f66e23c234e31f1d5ec8aa443338 | 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": 5, "target": 6}]} | {"states": [14, 62], "expectation_value": -5.143346340877699, "params": null, "bitstrings": ["110001", "000001"], "total_optimization_steps": 32, "probabilities": [0.18747091701752278, 0.56084426505359], "optimization_time": 15.788688898086548} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + -0.5 * Z(5) | 5 | 6 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["000001"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(0.04711975617208431) q[0];
ry(-0.1325599692463841) q[1];
ry(0.05687606388497443) q[2];
ry(0.004888508310247848) q[3];
ry(2.426655310760118) q[4];
ry(0.03493424051288598) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
r... | null | {"node": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5681) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... | [
"IIIIZZ",
"IIZZII",
"IZZIII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IIIZII",
"IZIIII",
"ZIIIII"
] | [
-1,
-1.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.972855 | [
0.04711975617208431,
-0.1325599692463841,
0.05687606388497443,
0.004888508310247848,
2.426655310760118,
0.03493424051288598,
3.206370410814248,
0.05299809981433146,
-0.05722795343488331,
-0.15391392497352788,
-0.11681779862718587
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 13 |
6e0d468db56178c470574e2bc4272cb2 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [980, 468], "expectation_value": -80.8668744728768, "params": [[[0.2489, 0.042100000000000005], [0.8567, 0.1315], [0.5609000000000001, 0.1278], [0.5311, 0.13390000000000002], [0.2826, 0.0709], [0.8033, 0.1255], [0.2107, 0.1787], [0.3554, 0.596], [0.0825, 0.6023000000000001], [-0.3196, 0.2144]], [[0.0815, 0.0... | 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(6) @ Z(1)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(9) @ Z(2)) + 15.0 * Z(2) + 21.5 * Z(1) + 4.0 * Z(0) + -1.0 * Z(3) + -3.0 * Z(4) + 10.5 * Z(6) + 2.5 * Z(5) + 15.0... | 15 | 10 | 4 | {"smallest_eigenvalues": [-93.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -89.5, "smallest_bitstrings": ["1000101011"], "largest_eigenvalue": 132.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.09662276183569396) q[0];
ry(1.0051916676226693) q[1];
ry(0.25849471851788586) q[2];
ry(0.6658240526147934) q[3];
ry(0.5317514022797116) q[4];
ry(0.6888689087638373) q[5];
ry(0.12678092837548752) q[6];
ry(0.30620117413995734) q[7];
ry(-0.5382078644362986) q[8];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIZIIIIZI",
"IIIZZIIIII",
"IIZIIIIIZI",
"IIZZIIIIII",
"IZZIIIIIII",
"ZIIIIIIZII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
15,
21.5,
4,
-1,
-3,
10.5,
2.5,
15,
-4.5,
-5.5
] | 0.970968 | [
0.09662276183569396,
1.0051916676226693,
0.25849471851788586,
0.6658240526147934,
0.5317514022797116,
0.6888689087638373,
0.12678092837548752,
0.30620117413995734,
-0.5382078644362986,
-0.397809312998913,
-0.08462092842812172,
-0.011595430919010531,
0.019838344486441114,
0.0692232236244762... | {
"n_parameters": 80,
"n_qubits": 10,
"optimal_eigenvalue": -93.5,
"target_ratio": 0.97,
"target_value": -90.695
} | 59 |
6946fbda84d92871847bf53596399897 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [17, 1], "expectation_value": -2.011863920851057, "params": [[-0.0438, -0.0456, -0.0468, 0.0584], [0.060700000000000004, 0.06330000000000001, 0.0613, 0.0092]], "bitstrings": ["101110", "111110"], "total_optimization_steps": 10, "probabilities": [0.03583210744810794, 0.03646259498127015], "optimization_time":... | -1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + 3.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -1.25 * Z(3) + -0.25 * Z(0) + -1.0 * Z(4) + 0.25 * Z(1) + -0.5 * Z(2) + 2.75 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-12.0, -12.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["111110", "101110"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(1.551286213379778) q[0];
ry(0.14995386152144122) q[0];
rz(-1.157952155487887) q[0];
rz(1.7949694323876582) q[1];
ry(0.8600732688310629) q[1];
rz(-1.5619298147562424) q[1];
rz(-1.494414036029636) q[2];
ry(0.25948250070177714) q[2];
rz(2.109430114529392) q[2];
rz(-1.99... | OPENQASM 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": []} | [
"IIZIIZ",
"IZIIIZ",
"IIZIZI",
"IIZZII",
"IZIZII",
"ZIIIIZ",
"ZIIZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
-1.25,
-1.5,
-0.25,
-0.25,
-0.5,
3,
-0.25,
-1.25,
-0.25,
-1,
0.25,
-0.5,
2.75
] | 0.983075 | [
0.05760476468977301,
0.19533053854689783,
0.2935220690165271,
0.21247908078017866,
-0.33585903240393633,
0.2959684062839665,
-0.34014046378460583,
0.13274283234330986,
-0.10404306296453697,
0.20649247381463964,
0.9880477207375283,
-0.024097524940315328,
0.1102325674469585,
0.19708286430355... | {
"n_parameters": 43,
"n_qubits": 6,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 8 |
1f15db56645aa784f47efc16e5301c8d | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [63, 1], "expectation_value": -5.83715216811799, "params": [[0.0711, 0.062200000000000005, 0.0623, 0.0436], [-0.0726, -0.0539, -0.0659, -0.062200000000000005]], "bitstrings": ["1000000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.04300148867007408, 0.044982303222136824], "optimization_ti... | -1.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -1.5 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(1)) + -1.75 * (Z(5) @ Z(1)) + -2.75 * (Z(5) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(5)) + 1.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(3)) + 0.0 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + -1.0 * Z(2) + 1.5 * Z(5... | 1 | 7 | 4 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.14465096475206188) q[0];
rz(0.4273591883110469) q[0];
rx(0.15828442435891127) q[1];
rz(-0.08961878454051071) q[1];
rx(0.026785558305668006) q[2];
rz(-0.18435202575239976) q[2];
rx(0.056047368725162076) q[3];
rz(-0.007867807388838188) q[3];
rx(0.026785558305668006)... | OPENQASM 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": []} | [
"IIZIIIZ",
"IIZIIZI",
"IIZIZII",
"IIIIZZI",
"IZIIIZI",
"IZIIZII",
"IIZZIII",
"IIIZZII",
"IZIZIII",
"ZIIIIIZ",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"IIIZIII",
"ZIIIIII"
] | [
-1.5,
-0.5,
-1.5,
-1.25,
-1.75,
-2.75,
-2.5,
-1.5,
-2,
1.75,
-0.5,
0,
-0.25,
1,
-1,
1.5,
-2.5,
1.25
] | 0.971407 | [
-0.14465096475206188,
0.4273591883110469,
0.15828442435891127,
-0.08961878454051071,
0.026785558305668006,
-0.18435202575239976,
0.056047368725162076,
-0.007867807388838188,
0.4253360608059712,
-0.05073043935803761,
-0.21849464254370934,
2.5289511101625592,
0.0059515070340149245
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -19,
"target_ratio": 0.97,
"target_value": -18.43
} | 6 |
eb3644a595f88cde537ce8eaf8e385b0 | 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": 4, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -27.912557329170948, "params": [0.0167, 0.0463, 0.0067, 0.0879, -0.0031000000000000003, 0.2369, -0.0036000000000000003, 0.2316, 0.303, -0.00030000000000000003, 0.30720000000000003, -0.0005, -0.0016, 0.22590000000000002, -0.002, 0.2283, 0.0037, 0.1961, 0.0008, 0.1986, 0.0664, 0.... | -1.0 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -1.0 * (Z(5) @ Z(0)) + -1.0 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(0)) + -1.5 * (Z(8) @ Z(3)) + -1.5 * (Z(9) @ Z(0)) + -1.25 * (Z(9) @ Z(3)) + -0.75 * (Z(10) @ Z(0)) + -0.25 * (Z(10) @ Z(3)) + -1.0 * (Z(10) @ Z(9)) + -1.0 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(5)) + -1.5 * (Z(6)... | 6 | 11 | 3 | {"smallest_eigenvalues": [-33.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.5, "smallest_bitstrings": ["11011111111"], "largest_eigenvalue": 32.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.056693439194751796) q[0];
rz(-0.41111004964639175) q[0];
rx(0.08644936230286089) q[1];
rz(-0.6406086853725714) q[1];
rx(1.2261246527327219) q[2];
rz(0.7017715462104905) q[2];
rx(0.04965994671003971) q[3];
rz(-0.45496756077077727) q[3];
rx(0.0864493623028609) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIIZ",
"IIIIIZIIIIZ",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIZIIIIZIII",
"IZIIIIIIIIZ",
"IZIIIIIZIII",
"ZIIIIIIIIIZ",
"ZIIIIIIZIII",
"ZZIIIIIIIII",
"IIIIZIIIIZI",
"IIIIZZIIIII",
"IZIIZIIIIII",
"ZIIIZIIIIII",
"IIIZIIIIIZI",
"IIIZIIIZIII",
"IIIZIZIIIII",
"IIIIIIIIZ... | [
-1,
-0.25,
-1,
-1,
-0.75,
-1.5,
-1.5,
-1.25,
-0.75,
-0.25,
-1,
-1,
-1.25,
-1.5,
-1.25,
-1.25,
-1.25,
-0.75,
5.5,
-0.25,
-1.25,
-0.25,
-1.25,
-0.5,
-1.5,
-0.5,
-3.5,
-0.25,
-1.75,
1.75,
3.25,
1.75,
-2.5,
-2.5,
0.25,
3.75,
-0.25
] | 0.970531 | [
0.056693439194751796,
-0.559145585700808,
0.0864493623028609,
-0.6773602039280919,
1.2261246527327216,
0.34046990065158045,
0.049659946710039704,
-0.42592532716711373,
-0.8171376665410817,
-0.7065004579489096,
0.08511351806378255,
-0.2880096738978619,
-0.16717517686593453,
-0.3423696741965... | {
"n_parameters": 43,
"n_qubits": 11,
"optimal_eigenvalue": -33.5,
"target_ratio": 0.97,
"target_value": -32.495
} | 10 |
e35777128d20036d53d23bfc63a525a6 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [16, 19], "expectation_value": -4.584318730717033, "params": [0.0818, -0.2917, 0.1968, 0.1179, 0.7101000000000001, -0.008, 0.7055, -0.0159, 0.4182, -0.11280000000000001, 0.2546, -0.013000000000000001, 0.6989000000000001, -0.0021000000000000003, 0.7120000000000001, 0.0006000000000000001, 0.0789, -0.162, 0.214... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + -1.0 * Z(2) ... | 4 | 8 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.0, "smallest_bitstrings": ["11101100", "11011010", "11011100", "11010110", "01101110"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.07689126394177498) q[0];
rz(1.2005068326813433) q[0];
rx(-0.2563979328280391) q[1];
rz(2.009437298823798) q[1];
rx(0.9426182858015631) q[2];
rz(1.5161686906896943) q[2];
rx(1.240036004372791) q[3];
rz(1.4768663785856404) q[3];
rx(0.11146143375104008) q[4];
rz(1.649... | OPENQASM 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",
"IIIZIIIZ",
"IIZIIIIZ",
"IIZZIIII",
"IZIIIIIZ",
"IZIZIIII",
"IZZIIIII",
"IIIIIZZI",
"IIZIIIZI",
"IIIIZZII",
"IIIZZIII",
"IIZIZIII",
"IIIIZIZI",
"ZIIIIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"IIIIIIZI",
"IIIIZIII",
"ZIIIIIII"
] | [
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,
-1.5,
-1.5,
-2,
-1,
-1.5,
-1.5,
0
] | 0.984171 | [
0.07689126394177495,
-0.37028949411355294,
-0.2563979328280391,
0.43864097202890184,
0.9426182858015631,
-0.054627636105202694,
1.240036004372791,
-0.09392994820925574,
0.11146143375104005,
0.07874594133200115,
-0.1121089889351678,
-0.14417388953168228,
1.5189825416329348,
-0.0866538873136... | {
"n_parameters": 45,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 24 |
bbe36c72142a04c8b1698fed3f77c25c | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 3}, {"weight": 7, "source": 1, "target": 2}, {"weight": 17, "source": 1, "target": 3}, {"weight": 24, "source":... | {"states": [238, 413], "expectation_value": -0.387794204455268, "params": [[0.078], [-0.07200000000000001]], "bitstrings": ["100010001", "001100010"], "total_optimization_steps": 10, "probabilities": [0.002376992129143067, 0.002376992129143067], "optimization_time": 2.3888044357299805} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001010100", "001100010", "010001100", "010100001", "100010001", "100001010"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.016228639223514973) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.016228639223514973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.016228639223514973) q[2];
cx q[0], q[2];
rz(-1.196649630207868) q[0];
rx(1.6249956830407981) q[0];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
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,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.981439 | [
-0.016228639223514973,
1.522688419965938,
-1.1966496302078677,
1.624995683040798,
-0.8755811242009026,
0.7452257823272057,
0.2393407597375708,
0.22077208961471634
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 31 |
406f205c8f68e15d44cfdbce281f4c7d | 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": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [56, 37], "expectation_value": -0.030209498756496075, "params": [[0.041800000000000004], [-0.033100000000000004]], "bitstrings": ["000111", "011010"], "total_optimization_steps": 10, "probabilities": [0.016059019069092934, 0.01605924022164994], "optimization_time": 0.9576742649078369} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(3) + 0.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["001110", "011010", "000111"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.00817263797266711) q[0];
rz(0.5966647633891988) q[0];
rx(-0.00817263797266711) q[1];
rz(0.13566274477300744) q[1];
rx(3.0563566369992974) q[2];
rz(1.526362272167271) q[2];
rx(2.7143491625185714) q[3];
rz(0.6625473815348293) q[3];
rx(-0.235591289998422) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[4], q[2];
rz(x0) q[2]... | null | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"IIZIZI",
"IZIZII",
"IIZZII",
"ZZIIII",
"ZIIZII",
"IZIIII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-0.5,
0,
-1,
-0.5
] | 0.974338 | [
-0.00817263797266711,
0.5966647633891988,
0.13566274477300744,
3.0563566369992974,
1.526362272167271,
2.7143491625185714,
0.6625473815348293,
-0.235591289998422,
0.5263775625222091,
3.0339991639572848,
0.17723105258234045
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 12 |
6206337d7d1967e1d98c4b708b2f9aeb | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [1149, 1405], "expectation_value": -3.062197609470264, "params": [1.079, -0.0005, 0.21100000000000002, 0.5496, 0.5710000000000001, 0.2492, -0.0014, 0.5219, 1.0683, 0.20500000000000002, 1.066, -0.0027, 1.066, -0.0027, 1.0048000000000001, 0.005, 0.8510000000000001, 0.0912, 0.0838, 0.5471, 1.0735000000000001, 0... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(3) @ Z(6)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(4) @ Z(6... | 16 | 11 | 3 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.75, "smallest_bitstrings": ["10000001010", "00110000100", "00101001000", "01010000010"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-3.104597454054124) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.53500557433382) q[1];
h q[2];
ry(1.4439796999895051) q[2];
cx q[2], q[0];
ry(-0.09228340053169692) q[0];
cx q[2], q[0];
ry(0.12874566237956261) q[2];
h q[3];
ry(1.4415177267275305) q[3];
h q[4];
ry(-1.535005574333... | OPENQASM 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": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIZIIIIIZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIZIIZIII",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIIZZIIZ",
"IIIIIZIZIIZ",
"IIIIZIIZIIZ",
"IIIIIZZIIIZ",
"IIIIZIZII... | [
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,
0.5,
0.25,... | 0.993942 | [
-1.53500557433382,
-1.4376074027751256,
1.4439796999895051,
1.4415177267275305,
0.0014514087102965867,
0.18456680106339385,
0.15085650241299106,
0.25749132475912523,
-0.0014710015415432699,
-0.07056259980137612,
0.21107059744399434,
-0.014355156257897916
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
6912218945619950979 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 5], [0, 1, 2, 6, 8], [2, 5, 6], [0, 2, 3, 5, 8], [8, 1, 4, 6], [0, 1, 3, 6, 8], [4, 5, 7]]} | {"states": [271, 285], "expectation_value": -0.5839704860110295, "params": [[-0.28600000000000003], [0.2781]], "bitstrings": ["011110000", "011100010"], "total_optimization_steps": 30, "probabilities": [0.004143422430588961, 0.004151690307498622], "optimization_time": 1.744044542312622} | 0.5 * (Z(1) @ Z(5)) + 0.05 * (Z(0) @ Z(5)) + 0.1 * (Z(0) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(5)) + 0.05 * (Z(2) @ Z(1)) + 0.1 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.18333333333333335 * (Z(6) @ Z(1)) + 0.1 * (Z(6) @ Z(0)) + 0.21666666666666667 * (Z(6) @ Z(2)) + 0.05 * (Z(8) @ Z(5)) + 0.183333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.016666666666667, -2.016666666666667], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0166666666666657, "smallest_bitstrings": ["011100010", "011000010"], "largest_eigenvalue": 6.499999999999999} | 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];
cx q[5], q[1];
rz(1.6470712959526496e-05) q[1];
cx q[5], q[1];
cx q[5], q[0];
rz(1.5801047334568938e-07) q[0];
cx q[5], q[0];
cx q[1], q[0];
rz(-1.5453010223985333e-07) q[0];
cx q[1], q[0];
cx q[5], q[2];
rz(4.427711966587... | OPENQASM 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": []} | [
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIIIIIZZ",
"IIIZIIZII",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIZZIIIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"ZIIZIIIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIIZII",
"ZIZIIIIII",
"IIIZIZIII",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIZIIZIII",
"ZIIIIZIII",
"... | [
0.5,
0.05,
0.1,
0.21666666666666667,
0.05,
0.1,
0.16666666666666666,
0.18333333333333335,
0.1,
0.21666666666666667,
0.05,
0.18333333333333335,
0.15000000000000002,
0.1,
0.18333333333333335,
0.05,
0.05,
0.1,
0.05,
0.05,
0.1,
0.16666666666666666,
0.08333333333333333,
0.08... | 0.920371 | [
0.000016470712959526496,
1.5801047334568938e-7,
-1.5453010223985333e-7,
4.4277119665870315e-7,
-0.07252484524177218,
-0.0000011281178762703715,
-3.1415925961361846,
-0.0000257750659382102,
1.5715898091785543,
-1.5707963639758278,
1.5707962786247716,
-1.5707961672023263,
-1.5702532701286862,
... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -2.016666666666667,
"target_ratio": 0.97,
"target_value": -1.956166666666667
} | 398 |
2ac0d8741df4c1a53bf0585889cd8501 | 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": 7}, {"source": 1, "target": 2}, {"source": 2, "target": 8}, {"sour... | {"states": [301, 45], "expectation_value": -2.312613525060243, "params": [0.3542, 0.3594, -0.024200000000000003, -0.0218, 0.33230000000000004, 0.3352, 0.4404, 0.4374, -0.020200000000000003, -0.0143, 0.5028, 0.5067, 0.4872, 0.4837, 0.3141, 0.3038, 0.45940000000000003, 0.45680000000000004, 0.35450000000000004, 0.3544, -0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * Z(3) + 0.0 * Z(0) + -0.5 * Z(5) + -1.0 * Z(1) + -0.5 * Z(7) + -0.5 * Z(2) + 0.0 * Z(8) + -1.0 * Z(4) + -0.5 * Z(6) | 13 | 9 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -3.0, "smallest_bitstrings": ["010110011", "001101110", "001111010", "010110101", "101011010", "011101100", "111010010", "011110010", "010101101", "11101... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.018655393055593397) q[0];
rz(0.032923624352750716) q[0];
ry(-0.09856869693258048) q[1];
ry(-0.002715076481448933) q[2];
ry(0.8652656312621111) q[3];
ry(-0.14751153765312552) q[4];
ry(0.880321672784237) q[5];
ry(0.6124787866070538) q[6];
ry(-0.013776822764716715) 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": []} | [
"IIIIIZIIZ",
"IIIZIIIZI",
"IZIIIIIZI",
"IIIIIIZZI",
"ZIIIIIZII",
"IIIIZZIII",
"IIIZZIIII",
"IZZIIIIII",
"IIZIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIIIIZI",
"IZIIIIIII",
"IIIIIIZII",
"ZIIIIIIII",
"IIIIZIIII",
"IIZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-0.5,
-1,
-0.5,
-0.5,
0,
-1,
-0.5
] | 0.985532 | [
0.018655393055593397,
-0.09856869693258048,
-0.002715076481448933,
0.8652656312621111,
-0.14751153765312552,
0.880321672784237,
0.6124787866070538,
-0.013776822764716715,
0.42435035375821695,
0.06584724870550143,
0.8421729856112082,
-0.12385646309685096,
0.18909736359660184,
0.024345196944... | {
"n_parameters": 71,
"n_qubits": 9,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 18 |
094c21a567eedc9b0544914371dc9998 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": ... | {"states": [1023, 1022], "expectation_value": -42.02345410525055, "params": [[[0.003, 3.1606], [0.0031000000000000003, -0.003], [0.002, 0.0022], [-0.0031000000000000003, 0.0024000000000000002], [0.0031000000000000003, 0.0031000000000000003], [0.0033, -0.003], [0.002, 0.0027], [0.0023, 0.002], [1.6215000000000002, -0.00... | -3.5 * (Z(0) @ Z(3)) + 1.0 * (Z(5) @ Z(3)) + -3.0 * (Z(5) @ Z(0)) + 1.0 * (Z(6) @ Z(3)) + -4.0 * (Z(6) @ Z(0)) + 1.0 * (Z(6) @ Z(5)) + -3.0 * (Z(8) @ Z(3)) + -3.0 * (Z(8) @ Z(0)) + -3.0 * (Z(8) @ Z(5)) + 1.0 * (Z(8) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + -2.5 * (Z(1) @ Z(6)) + 0.5 *... | 15 | 10 | 1 | {"smallest_eigenvalues": [-42.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -41.5, "smallest_bitstrings": ["0000000001"], "largest_eigenvalue": 38.5} | 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(0.5328121734964022) q[0];
cx q[3], q[0];
h q[4];
h q[5];
cx q[3], q[5];
rz(0.25263276255427825) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(0.6087210124373932) q[5];
cx q[0], q[5];
h q[6];
cx q[3], q[6];
rz(0.252632762554278... | OPENQASM 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... | {"node": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIZIZIII",
"IIIIZIIIIZ",
"IIIZIIZIII",
"IIIZIIIIIZ",
"IIIZZIIIII",
"IZIIIIZIII",
"IZIIIIIIIZ",
"IZIIZIIIII",
"IZIZIIIIII",
"IIIIIIZIZI",
"IIIIIIIIZZ",
"IIIIZIIIZI",
"IIIZIIIIZI",
"IZIIIIIIZI",
"IIIIIIZZII",
"IIIIIIIZIZ",
"IIIIZIIZII",
"IIIZIIIZII",
"IZIIIIIZII"... | [
-3.5,
1,
-3,
1,
-4,
1,
-3,
-3,
-3,
1,
0.5,
0.5,
0.5,
-2.5,
0.5,
-3.5,
1.5,
0.5,
-3.5,
-3.5,
-3,
0.5,
1,
-3.5,
-3.5,
0.5,
-3,
1,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.526642 | [
0.5328121734964022,
0.25263276255427825,
0.6087210124373932,
0.361463275018582,
0.169631693660652,
0.7721883297262973,
0.3027856264707631,
1.5707963446703674,
1.012453341456965
] | {
"n_parameters": 9,
"n_qubits": 10,
"optimal_eigenvalue": -42.5,
"target_ratio": 0.97,
"target_value": -41.225
} | 260 |
dce06398b25f2ffe64febd8898180a55 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "... | {"states": [63, 3903], "expectation_value": -23.040553053170193, "params": [[[0.0024000000000000002, 0.0035], [0.0024000000000000002, 0.0039000000000000003], [0.0022, 0.0011], [-1.5912000000000002, 0.008], [0.0024000000000000002, 0.0049], [3.1498, 0.0063], [0.0024000000000000002, 0.0083], [0.0025, 0.002], [0.0025, 0.00... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(10) @ Z(8)) + -2.5 * (Z(10) @ Z(6)) + 0.5 * (Z(11) @ Z(8)) + -2.0 * (Z(11) @ Z(6)) + -2.0 * (Z(11) @ Z(10)) + 0.5 * (Z(7) @ Z(6))... | 2 | 12 | 1 | {"smallest_eigenvalues": [-25.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["000011000000"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.11628409992222181) q[0];
rz(0.3091735112346919) q[0];
rx(0.11628409992222181) q[1];
rz(-0.09775518231167915) q[1];
rx(-0.05058302488682606) q[2];
rz(0.3779794746032144) q[2];
rx(-2.4521434363919408) q[3];
rz(0.005376906028644102) q[3];
rx(0.11628409992222181) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIIIZZIIII",
"IIIZIZIIIIII",
"IZIZIIIIIIII",
"IZIIIZIIIIII",
"ZIIZIIIIIIII",
"ZIIIIZIIIIII",
"ZZIIIIIIIIII",
"IIIIZZIIIIII",
"IZIIZIIIIIII",
"ZIIIZIIIIIII",
"IZZIIIIIIIII",
"IIZIZIIII... | [
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-1.5,
-2,
0.5,
-2.5,
0.5,
-2,
-2,
0.5,
-2.5,
0.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.974073 | [
0.11628409992222181,
0.3091735112346919,
-0.09775518231167915,
-0.05058302488682606,
0.3779794746032144,
-2.4521434363919408,
0.005376906028644102,
-0.33006332975828134,
3.143067201511203,
-0.32758225767563315,
0.0362417990644831,
-0.030862695987814576,
0.044945496056478525,
-0.32948641219... | {
"n_parameters": 19,
"n_qubits": 12,
"optimal_eigenvalue": -25,
"target_ratio": 0.97,
"target_value": -24.25
} | 8 |
921479f58efe64e2060ecee8a590e959 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 8}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 2, "s... | {"states": [256, 255], "expectation_value": -1.3257953561305151, "params": [[0.0718, 0.0763], [-0.0545, -0.0614]], "bitstrings": ["011111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.003945013466155368, 0.00406244702283524], "optimization_time": 4.558336019515991} | 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... | 1 | 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 |
-5379648114903409229 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 3, 4], [0, 4, 5, 6, 7], [8, 7], [1, 2, 4], [0, 1], [0, 2, 3, 5, 6, 7]]} | {"states": [254, 190], "expectation_value": -1.4531008311960294, "params": [0.5337000000000001, 0.4717, 0.5258, 0.0005, 1.2973000000000001, -0.019, 1.2970000000000002, 0.0082, 1.0615, 0.3814, 1.0213, 0.006200000000000001, 1.2992000000000001, 0.1832, 1.2991000000000001, 0.009000000000000001, 1.2953000000000001, 0.114200... | 0.08333333333333333 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.25 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(8)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(0) @ Z(3)) + 0.05 * (Z(0) @ Z(4)) + 0.03333333333333333 * (Z... | 5 | 9 | 1 | {"smallest_eigenvalues": [-1.9833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.983333333333333, "smallest_bitstrings": ["101000001"], "largest_eigenvalue": 4.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.07800291641595541) q[0];
rz(1.0253060575017434) q[0];
rx(1.7620560163561638) q[1];
rz(-0.013302029620816391) q[1];
rx(0.5602406043574925) q[2];
rz(1.3847040922806695) q[2];
rx(1.2694937617746496) q[3];
rz(-0.08752631860703097) q[3];
rx(1.4052194058072105) 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": []} | [
"ZIIIIIIZI",
"IIIIIZIZI",
"ZIIIIZIII",
"IIIIZIIZI",
"ZIIIZIIII",
"IIIIZZIII",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIZIII",
"IIIZZIIII",
"IIIZIIIIZ",
"IIZIIZIII",
"IIZIZIIII",
"IIZIIIIIZ",
"IIZZIIIII",
"ZZIIIIIII",
"IZIIIZIII",
"IZIIZIIII",
"IZIIIIIIZ",
"IZIZIIIII",
"... | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.5,
0.03333333333333333,
0.05,
0.03333333333333333,
0.05,
0.08333333333333334,
0.03333333333333333,
0.05,
0.08333333333333334,
0.08333333333333334,
0.5,
0.033333333333333... | 0.97243 | [
0.07800291641595541,
0.7717544172133096,
1.762056016356164,
-0.021959431793612087,
0.5602406043574925,
1.1835200378781117,
1.2694937617746498,
-0.05378933887145653,
1.4052194058072105,
-0.08699490632069415,
-0.27053714663998696,
1.5056717217913569,
0.231397814862161,
1.6640779211182635,
... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -1.9833333333333334,
"target_ratio": 0.97,
"target_value": -1.9238333333333333
} | 52 |
b549f54f988f8e7587562ba90db6d29f | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4},... | {"states": [383, 127], "expectation_value": -14.36772329206549, "params": [[0.08510000000000001], [-0.2508]], "bitstrings": ["11010000000", "11110000000"], "total_optimization_steps": 30, "probabilities": [0.007359643306413567, 0.00749124870115387], "optimization_time": 1.6783173084259033} | -2.0 * (Z(0) @ Z(3)) + -2.0 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + -3.5 * (Z(4) @ Z(5)) + -3.0 * (Z(8) @ Z(5)) + -3.5 * (Z(8) @ Z(4)) + 1.0 * (Z(9) @ Z(5)) + -3.0 * (Z(9) @ Z(4)) + 1.0 * (Z(9) @ Z(8)) + -3.0 * (Z(10) @ Z(5)) + -3.0 * (Z(10) @ Z(4)) + 1.... | 1 | 11 | 1 | {"smallest_eigenvalues": [-45.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.0, "smallest_bitstrings": ["11110000000"], "largest_eigenvalue": 38.0} | 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(-0.823842556345826) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.823842556345826) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(-0.2844177400400784) q[1];
cx q[0], q[1];
cx q[3], q[2];
rz(0.014019367632538055) q[2];
cx q[3], q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[3], q[0];
rz(x0) q[0];
c... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IIIIIIIZIZI",
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIZZIIII",
"IIZIIZIIIII",
"IIZIIIZIIII",
"IZIIIZIIIII",
"IZIIIIZIIII",
"IZZIIIIIIII",
"ZIIIIZIIIII",
"ZIIIIIZIIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IIZIZIIII... | [
-2,
-2,
1,
0.5,
0.5,
0.5,
-3.5,
-3,
-3.5,
1,
-3,
1,
-3,
-3,
1.5,
0.5,
-3,
1.5,
-3,
0.5,
-3,
-3.5,
1.5,
-3,
-3,
1,
-3,
-2,
-2,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.544096 | [
-0.823842556345826,
-0.2844177400400784,
0.014019367632538055,
-0.5591807353508634,
-0.5788174416303784,
-0.39634054266377894,
-1.0775092155877823
] | {
"n_parameters": 7,
"n_qubits": 11,
"optimal_eigenvalue": -45,
"target_ratio": 0.97,
"target_value": -43.65
} | 184 |
42ee3ecbd8e478be8dde2a6b90e16871 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 4, "s... | {"states": [256, 255], "expectation_value": -0.7587991429290027, "params": [[-0.058], [0.0728]], "bitstrings": ["011111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0028035654164359066, 0.0028573109016949323], "optimization_time": 2.431121349334717} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(0)) + 1.0 * (Z(8) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + -1.0 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(8)) + -0.25 * (Z(4) @ Z(8)) + -0.75 * (Z(4) @ Z(6)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(4)) + -0.75 * (Z(3) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.0549848116698741) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[7];
rz(0.029172715212958538) q[7];
cx q[1], q[7];
cx q[0], q[7];
cx q[1], q[6];
rz(0.029172715212958538) q[6];
cx q[1], q[6];
rz(-1.598... | OPENQASM 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": []} | [
"IIIIIIIZZ",
"IZIIIIIZI",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"IIZIIIIZI",
"IZIIIIZII",
"ZIIIIIZII",
"ZIIIZIIII",
"IIZIZIIII",
"IIIIZIZII",
"IIZZIIIII",
"IIIZIIZII",
"IIIZZIIII",
"ZIIIIZIII",
"IIZIIZIII",
"IIIZIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"IIZIIIIII",
"... | [
-0.5,
-1,
-0.25,
1,
-1,
-1,
-0.25,
-0.25,
-0.75,
-1,
-0.75,
-1.5,
-0.75,
-0.75,
-1.25,
-2,
1.5,
-0.25,
-1.25,
-0.25,
-2.75,
1.25,
0.75,
-0.5,
1.5
] | 0.69559 | [
-1.0549848116698741,
0.029172715212958538,
0.16101336740224578,
-2.853934573478511,
0.0002222611675266444,
0.007417442114710257,
-0.09846164920999712,
0.009271771329697701,
-1.5987365813121024,
-1.5836191433320654,
-1.5696194150487053,
-1.5700259771328176,
1.5215425433853749
] | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 351 |
67db7996d5a4d9f77514dc8fa1acf4cb | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 6}, {"weight": 16, "source": 0, "target": 5}, {"weight": 19, "sour... | {"states": [498, 242], "expectation_value": -80.58426718889517, "params": [0.5479, -0.2444, 1.0655000000000001, -0.0855, 1.065, 0.006, 1.0688, -0.0015, 1.0709, 0.0009000000000000001, -0.0025, 0.8194, 0.09000000000000001, 0.5716, 1.0696, 0.2539, 0.4056, -0.3401, 0.5453, -0.2447, 1.0674000000000001, -0.0794, 1.0636, 0.00... | 5.0 * (Z(0) @ Z(3)) + 5.0 * (Z(1) @ Z(3)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(4)) + 19.5 * Z(3) ... | 3 | 9 | 3 | {"smallest_eigenvalues": [-89.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.5, "smallest_bitstrings": ["100001101"], "largest_eigenvalue": 189.5} | 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(4.4018789610203625e-09) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(4.4018789610203625e-09) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(4.4018789610203625e-09) q[1];
cx q[0], q[1];
cx q[3], q[2];
rz(4.4018789610203625e-09) q[2];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IIZIIIIZI",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIZIII",
"ZIIIIIZII",
"ZIIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
19.5,
15,
23,
24.5,
15,
1.5,
5.5,
8.5,
-7
] | 0.888268 | [
4.4018789610203625e-9,
-1.5707963436613572,
-1.5707963123676265,
-1.570796291584434,
-1.5707963201547823,
1.5707963655439487,
-1.5707964170863216,
1.570796377775183,
1.5707964112440265,
1.5707963512637033,
-0.18916506558938193,
-0.6532155820756127,
0.19460946957578984,
0.11086452523362854,... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -89.5,
"target_ratio": 0.97,
"target_value": -86.815
} | 460 |
f9a496c08e28d657f117f997b2d108d2 | 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": [937, 936], "expectation_value": -48.37882661797198, "params": [0.0823, 0.5672, 1.0027000000000001, 0.2848, 0.9998, 0.07200000000000001, 0.9966, 0.3851, 0.7763, 0.46990000000000004, 1.0071, 0.0805, 0.7773, 0.21150000000000002, 0.9955, 0.020900000000000002, -0.0187, 0.6701, 0.0028, 0.7495, 0.7805000000000001,... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(2) @ Z(4)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(6) @ Z(1)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(7) @ Z(5)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(10) @ Z(5)) + 8.0 * (Z(10) @ Z(7)) + -4.0 * Z(0) + 6.0 * Z(1) + 2.5 * Z(4) + 8.5 * Z(2) + 6.0 * Z(3) + 2.5 * Z(6) + 17.0 * Z(5) + 17.0 ... | 16 | 11 | 2 | {"smallest_eigenvalues": [-115.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -108.0, "smallest_bitstrings": ["10001010111"], "largest_eigenvalue": 145.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.15500675313540235) q[0];
rz(1.3583415754269286) q[0];
rx(1.5269893929844451) q[1];
rz(0.0009751358741548477) q[1];
cx q[1], q[0];
rz(-0.3457515634624011) q[0];
cx q[1], q[0];
rx(-0.1408914291906919) q[0];
rz(-0.40898032882645907) q[0];
rz(0.12636342230730335) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIIIZZII",
"IIIIZIIIIZI",
"IIIIZZIIIII",
"IIIZIZIIIII",
"IIZZIIIIIII",
"ZIIIIZIIIII",
"ZIIZIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIZIIII",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIZIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
-4,
6,
2.5,
8.5,
6,
2.5,
17,
17,
-5,
3,
-11.5
] | 0.970193 | [
0.15500675313540238,
1.012590011964528,
1.5269893929844451,
0.0009751358741548477,
2.149607663683786,
-0.513913515869014,
1.901033151587088,
0.3291098561879263,
0.2571752227083476,
1.8845841741528062,
1.985535274317017,
0.07277226973248377,
-0.048254421787322845,
0.12891970876879977,
1.0... | {
"n_parameters": 62,
"n_qubits": 11,
"optimal_eigenvalue": -115,
"target_ratio": 0.97,
"target_value": -111.55
} | 43 |
62cf0b1aa2f21b710dc273bc2e7c1873 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [21, 31], "expectation_value": -6.219099438712884, "params": null, "bitstrings": ["101010", "100000"], "total_optimization_steps": 54, "probabilities": [0.12953053585363375, 0.5652956544300739], "optimization_time": 48.88957357406616} | -0.5 * (Z(0) @ Z(4)) + 0.75 * (Z(5) @ Z(0)) + -1.5 * (Z(1) @ Z(5)) + -2.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.75 * Z(4) + -0.25 * Z(0) + -1.25 * Z(5) + 0.25 * Z(1) + 1.25 * Z(2) + 1.75 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-6.75, -6.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.75, "smallest_bitstrings": ["100000", "100010"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.25137557506976543) q[0];
cx q[4], q[0];
cx q[4], q[2];
rz(-0.3034559764764657) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(0.32149893878205565) q[3];
cx q[4], q[3];
rz(0.05900538221320195) q[4];
rx(0.125911296508555... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IZIIIZ",
"ZIIIIZ",
"ZIIIZI",
"IZIZII",
"IIIZZI",
"IZZIII",
"ZIZIII",
"IIZIZI",
"IIZZII",
"IZIIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIIZII",
"IIZIII"
] | [
-0.5,
0.75,
-1.5,
-2,
-0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-1.75,
-0.25,
-1.25,
0.25,
1.25,
1.75
] | 0.972404 | [
0.25137557506976543,
-0.30313069804113246,
0.23033659415730043,
-0.3034559764764657,
0.35568709670647886,
0.32149893878205565,
0.05900538221320224,
-0.175513034202568,
-0.3239146546667025,
-0.8972253164971841,
-0.9873010555019224,
0.12591129650855593,
-0.1131226468916046,
0.022047127083097... | {
"n_parameters": 48,
"n_qubits": 6,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 145 |
7334f87116618ad33574723c9745d8e3 | 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": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 7}, {"source": 1, "target": 8}, {"sour... | {"states": [327, 323], "expectation_value": -2.989072576816081, "params": [0.7963, -0.0012000000000000001, 0.7888000000000001, 0.006900000000000001, 0.183, 0.2948, 0.18130000000000002, 0.0021000000000000003, 0.7911, 0.0043, 0.7897000000000001, 0.0028, 0.0898, 0.3573, 0.0872, 0.004, -0.0111, 0.4539, -0.0158, 0.0092, 0.7... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(4) + -0.5 * Z(0) + -0.5 * Z(6) + -1.0 * Z(1) + -0.5 * Z(7) + -0.5 * Z... | 7 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.0, "smallest_bitstrings": ["010011101", "110111000", "000011111", "011110100", "111110000", "010111100", "110101010"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.4031592727731974) q[0];
rz(-0.02844848935508315) q[0];
rx(0.23486636788205578) q[1];
rz(0.6856247784299727) q[1];
cx q[1], q[0];
rz(0.2708661103659514) q[0];
cx q[1], q[0];
rx(1.9026963775572827) q[0];
rz(0.39537470150904913) q[0];
rx(-0.260427291493034) q[1];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IIZIIIIIZ",
"IIIIZIIZI",
"IZIIZIIII",
"IZIIIIIZI",
"ZIIIIIIZI",
"IIIZZIIII",
"IIIZIIZII",
"IIZIIZIII",
"ZIIIIZIII",
"IIIZIZIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIIIZI",
"IZIIIIIII",
"ZIIIIIIII",
"IIIZIIIII",
"IIIIIIZII",
"IIIIIZIII"
] | [
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,
-0.5,
-1,
-0.5,
-0.5,
-1,
0,
-1
] | 0.977883 | [
1.4031592727731972,
0.24241762101086833,
0.23486636788205578,
0.6856247784299727,
-0.424949903847942,
0.5666263717540114,
0.3359753354904642,
-0.23060416388729066,
0.01249905502263042,
0.16060445728670036,
1.2906352598269126,
-0.1212618140766851,
-0.15129241036690283,
-0.6675885695881943,
... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 49 |
5034f358b60bb2416ead39a148c379a9 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "so... | {"states": [58, 92], "expectation_value": -1.0512327904352772, "params": [[-0.053700000000000005, -0.037700000000000004, -0.0419, 0.0747], [0.07010000000000001, 0.0572, 0.0646, -0.0044]], "bitstrings": ["1111000101", "1110100011"], "total_optimization_steps": 10, "probabilities": [0.001592165653223634, 0.00159216565322... | 0.5 * (Z(6) @ Z(9)) + -0.5 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @ Z(6)) + -0.5 * (Z(4) @ Z(9)) + -1.0 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + -1.0 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + -0.5... | 1 | 10 | 4 | {"smallest_eigenvalues": [-4.999999999999999, -4.999999999999999, -4.999999999999999, -4.999999999999999, -4.999999999999999, -4.999999999999999], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.666666666666666, "smallest_bitstrings": ["1111000011", "1110100101", "1110100011", "1111101011", "1111101101"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.14975641425785782) q[0];
rz(-0.24066575353239905) q[0];
rx(-0.029767164686135283) q[1];
rz(0.3653588270419897) q[1];
rx(0.3317262262044513) q[2];
rz(0.5082732848714967) q[2];
rx(-0.15126513794220642) q[3];
rz(-0.4534054877104098) q[3];
rx(-0.15126513794220642) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"ZIIZIIIIII",
"ZIIIIIZIII",
"IIIZIIZIII",
"ZIIIIZIIII",
"IIIZIZIIII",
"IIIIIZZIII",
"ZIIIZIIIII",
"IIIZZIIIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIZZIIIIII",
"IIZIIIZIII",
"IIZIIZIIII",
"IZIZIIIIII",
"IZIIIIZIII",
"IZIIIZIIII",
"IZZIIIIIII",
"ZIIIIIIIIZ",
"IIIIZIIIIZ",
"IIIIIIIZZI"... | [
0.5,
-0.5,
-1,
-0.5,
-1,
1,
-1,
-0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
0.5,
-0.16666666666666666,
-1,
0,
0,
0,
1,
0.5,
0.5,
0.33333333333333337,
-0.3333333333333333,
-0.3333333333333333
] | 0.971455 | [
-0.14975641425785782,
-0.11209317022898643,
-0.029767164686135283,
0.3653588270419897,
0.3317262262044513,
0.5082732848714967,
-0.15126513794220642,
-0.4534054877104098,
-0.5290115692496197,
3.337196961070229,
0.5105458374502797,
-0.0002835019568109137,
0.29026291769365165,
2.8482360447786... | {
"n_parameters": 29,
"n_qubits": 10,
"optimal_eigenvalue": -4.999999999999999,
"target_ratio": 0.97,
"target_value": -4.849999999999999
} | 30 |
4cd28f9bc761b26f6d6f15aeccbaedea | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 4}, {"weight": 18, "source": 0, "target": 5}, {"weight": 20, "source": 0, "target": 3}, {... | {"states": [63, 121], "expectation_value": -30.30665998169914, "params": null, "bitstrings": ["11000000", "10000110"], "total_optimization_steps": 100, "probabilities": [0.0767581592572071, 0.16623903505297943], "optimization_time": 165.14843273162842} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 18.0 * Z(1) + 12.5 * Z(0) + 17.5 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10000110"], "largest_eigenvalue": 145.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.00016732716707271525) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.00016732716707271525) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.00016732716707271525) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.00016732716707271525) q[3];
c... | null | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(0.5995) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIZIIIZI",
"IZIIIZII",
"IZIIZIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
18,
12.5,
17.5,
17,
8.5,
0,
8.5,
11
] | 0.920635 | [
0.00016732716707271525,
-0.5924455788903747,
1.1202157596152196,
-2.1299919140966863,
-0.921283751470345,
-0.9259638537657344,
0.656788748097326,
0.05566707846777746,
-0.2350099582362983,
-0.00025338828965832576,
-0.7056870444167618,
0.6002165622279372,
0.40321396654204583,
-0.860670749125... | {
"n_parameters": 33,
"n_qubits": 8,
"optimal_eigenvalue": -63,
"target_ratio": 0.97,
"target_value": -61.11
} | 500 |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [501, 437], "expectation_value": -1.3063616627526193, "params": [1.9968000000000001, 0.0006000000000000001, 2.0020000000000002, 0.0026000000000000003, 1.5557, 0.00030000000000000003, 2.013, 0.0036000000000000003, 2.0020000000000002, 0.0002, 0.8831, 0.004, 2.0116, 0.001, -0.0026000000000000003, 0.008700000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 18 | 9 | 1 | {"smallest_eigenvalues": [-3.625, -3.625], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.625, "smallest_bitstrings": ["100000011", "001001010"], "largest_eigenvalue": 5.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.8012111076319184) q[0];
ry(-2.800432370667173) q[1];
rz(-pi) q[1];
h q[2];
cx q[2], q[0];
ry(0.8012111076319184) q[0];
cx q[2], q[0];
ry(-0.6297922003853687) q[0];
ry(0.47256397378589904) q[2];
h q[3];
ry(0.902684951569005) q[3];
ry(-2.539634315256677) 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": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIIIZZIIZ",
"IIIZIZIIZ",
"IIIZZIIIZ",
"IIIZZZIII",
"IIIZZZIIZ",
"IIIIIZIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZIIZIII",
"IZIIIZIII",
"IZZIIIIII",
"... | [
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,
0.125,
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.... | 0.97092 | [
-1.3534878512218063,
1.5980321926942207,
-0.5087559348189883,
0.902684951569005,
1.049840712772453,
-1.6024222152638368,
0.3595906621996474,
0.7061982879717381,
-1.2595844007707373,
0.9451279475717981,
-1.8637580935742109,
1.102091920108346,
0.5252794009800849,
0.16113765377932213,
0.424... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 63 |
1f15db56645aa784f47efc16e5301c8d | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [63, 1], "expectation_value": -3.307360692211968, "params": [[0.0666, 0.0733], [-0.06520000000000001, -0.0728]], "bitstrings": ["1000000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.021744765161573476, 0.02439481817235387], "optimization_time": 2.873965263366699} | -1.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -1.5 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(1)) + -1.75 * (Z(5) @ Z(1)) + -2.75 * (Z(5) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(5)) + 1.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(3)) + 0.0 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + -1.0 * Z(2) + 1.5 * Z(5... | 1 | 7 | 2 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.14465096475206188) q[0];
rz(0.4273591883110469) q[0];
rx(0.15828442435891127) q[1];
rz(-0.08961878454051071) q[1];
rx(0.026785558305668006) q[2];
rz(-0.18435202575239976) q[2];
rx(0.056047368725162076) q[3];
rz(-0.007867807388838188) q[3];
rx(0.026785558305668006)... | OPENQASM 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": []} | [
"IIZIIIZ",
"IIZIIZI",
"IIZIZII",
"IIIIZZI",
"IZIIIZI",
"IZIIZII",
"IIZZIII",
"IIIZZII",
"IZIZIII",
"ZIIIIIZ",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"IIIZIII",
"ZIIIIII"
] | [
-1.5,
-0.5,
-1.5,
-1.25,
-1.75,
-2.75,
-2.5,
-1.5,
-2,
1.75,
-0.5,
0,
-0.25,
1,
-1,
1.5,
-2.5,
1.25
] | 0.971407 | [
-0.14465096475206188,
0.4273591883110469,
0.15828442435891127,
-0.08961878454051071,
0.026785558305668006,
-0.18435202575239976,
0.056047368725162076,
-0.007867807388838188,
0.4253360608059712,
-0.05073043935803761,
-0.21849464254370934,
2.5289511101625592,
0.0059515070340149245
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -19,
"target_ratio": 0.97,
"target_value": -18.43
} | 6 |
639c735073af882833143eef29734116 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target":... | {"states": [11, 15], "expectation_value": -6.2600445762619215, "params": [0.004, 0.0021000000000000003, -0.0043, -0.0022, 0.7157, 0.7095, -0.0004, -0.0025, 0.7133, 0.7072, -0.00030000000000000003, -0.0029000000000000002, 0.91, 0.9071, 0.8513000000000001, 0.8513000000000001, 0.9037000000000001, 0.9045000000000001, 0.859... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) ... | 13 | 10 | 1 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -7.0, "smallest_bitstrings": ["1101101001", "1101010101", "0101011101", "1111110000", "1111010100", "1101110001", "0101111001"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.007491524537213225) q[0];
rz(0.022182565263641763) q[0];
ry(0.014704760788582641) q[1];
ry(0.20581106538271662) q[2];
ry(-0.14400128522269584) q[3];
ry(-0.3183582433772375) q[4];
ry(0.3095103107346546) q[5];
ry(1.4468017072880193) q[6];
ry(1.5376937600164633) q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIIZ",
"IIIIZIIIIZ",
"IIIIZIZIII",
"IIIZIIIIIZ",
"IIIZIIZIII",
"IIIZZIIIII",
"ZIIIIIIIIZ",
"ZIIIZIIIII",
"IIIIIZIIZI",
"IIIIZZIIII",
"IIZIIIIIZI",
"IIZIIIZIII",
"IIZIIZIIII",
"IZIIIIIIZI",
"IZIIIIZIII",
"IIIIIIZZII",
"ZIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ"... | [
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,
-1.5,
-2,
-2.5,
-2,
-1,
-1,
-1,
-1,
-0.5,
-0.5
] | 0.977462 | [
-0.007491524537213225,
0.014704760788582641,
0.20581106538271662,
-0.14400128522269584,
-0.3183582433772375,
0.3095103107346546,
1.4468017072880193,
1.5376937600164633,
1.2035786456806328,
1.3371824207342249,
0.044365130527283525,
0.04815593897694865,
0.12639727862355477,
-0.04867282983177... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 26 |
d1e337a2e105918e8c64bf021321a2d3 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target": 6}, {"source": 5, "target": 6}]} | {"states": [0, 60], "expectation_value": -8.522100064513728, "params": [0.47400000000000003, 0.2722, 0.3375, 0.7020000000000001, 0.5823, 0.2988, 0.2766, 0.5657, 0.48040000000000005, 0.6851, 0.2084, 0.5104000000000001, 0.4838, 0.6361, 0.3306, 0.33890000000000003, -0.0187, 0.7362000000000001, 0.0037, 0.8045, -0.235000000... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + -1.0 * Z(5) + -1.0 * Z(4) | 6 | 6 | 4 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["000011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.1250101749676743) q[0];
h q[1];
ry(0.20959771976513494) q[1];
h q[2];
ry(1.7180141321038174) q[2];
h q[3];
cx q[3], q[1];
ry(-0.20959771976513494) q[1];
cx q[3], q[1];
cx q[1], q[0];
ry(-0.1250101749676743) q[0];
cx q[1], q[0];
ry(1.5837809674018735) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IIIZZI",
"IIIZIZ",
"IIZZII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IIIZII",
"ZIIIII",
"IZIIII"
] | [
-2,
-2,
-1.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.970501 | [
0.4191954395302699,
0.2500203499353486,
3.167561934803747,
0.39601762078621333,
3.4360282642076347,
-1.431777043166703,
-1.0726156679952932,
2.4472778962911232,
-1.7140095510696993,
-1.1779722872815033,
-0.19288942722124652,
-0.9021325308104403,
2.0540666932332177,
0.13607092260007048,
-... | {
"n_parameters": 20,
"n_qubits": 6,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 108 |
9112276215718200783 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[10, 2], [11, 3, 5], [0, 7], [9, 5, 6], [9, 2, 4], [8, 9, 6], [0, 5], [9, 11], [9, 3, 1], [3, 6], [2, 5], [10, 6], [9, 3, 4], [1, 4]]} | {"states": [510, 478], "expectation_value": -2.9193667047621097, "params": [0.2827, 0.406, 0.2817, 0.0036000000000000003, 0.47000000000000003, -0.2811, 0.4843, -0.303, 0.46280000000000004, 0.32280000000000003, 0.4611, 0.0009000000000000001, 1.0852, 0.0089, 1.09, -0.0076, 1.1003, 0.0024000000000000002, 1.0928, 0.0066, 1... | 0.5 * (Z(10) @ Z(2)) + 0.16666666666666666 * (Z(11) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(11)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(9) @ Z(2)) + 0.3333333333333333 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(11)) + 0.166666666666666... | 8 | 12 | 1 | {"smallest_eigenvalues": [-5.666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.333333333333335, "smallest_bitstrings": ["111000100001"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.5965348356131369) q[0];
rz(1.5311780163401032) q[0];
rx(0.04825419515814475) q[1];
rz(-1.132137590719019) q[1];
cx q[1], q[0];
ry(0.10594843093826697) q[0];
cx q[1], q[0];
ry(-0.5846912567438924) q[0];
rz(-1.8170410013489704) q[0];
rx(0.055988070169062154) q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIIIIIIIZII",
"ZIIIIIIIZIII",
"IIIIIIZIIZII",
"IIIIIIZIZIII",
"ZIIIIIZIIIII",
"IIIIIIZIIIIZ",
"IIIIZIIIIIIZ",
"IIZIIIIIIZII",
"IIZIIIIIZIII",
"ZIZIIIIIIIII",
"IIZIIIZIIIII",
"IZIIIZIIIIII",
"IIIIIZIIZIII",
"IIIIIZZIIIII",
"IIZIIZIIIIII",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIZIIIIZI... | [
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.166666666666666... | 0.976438 | [
0.5965348356131369,
-0.03961831045479319,
0.04825419515814475,
-1.132137590719019,
0.21219839400685542,
0.45078649315702923,
1.1225611783101632,
0.05076104825723171,
1.2594331581239593,
-0.04479354888312964,
0.9826152127009604,
0.10720502470471704,
-0.32032503076229524,
0.23626802530524627... | {
"n_parameters": 58,
"n_qubits": 12,
"optimal_eigenvalue": -5.666666666666665,
"target_ratio": 0.97,
"target_value": -5.496666666666665
} | 40 |
c5d57071b024d109c38c43678d62eaf1 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}]} | {"states": [0, 1], "expectation_value": -5.7499999999705125, "params": null, "bitstrings": ["111", "110"], "total_optimization_steps": 7, "probabilities": [4.65539676913598e-12, 0.9999999999950338], "optimization_time": 1.8497231006622314} | -1.25 * (Z(0) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -1.25 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2) | 1 | 3 | 2 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.75, "smallest_bitstrings": ["110"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.770690699219718) q[0];
h q[1];
ry(1.4871712470846223) q[1];
ry(-2.708001184483433) q[2];
rz(-pi) q[2];
cx q[1], q[2];
ry(-0.4298731353811252) q[2];
cx q[1], q[2];
cx q[1], q[0];
ry(-0.770690699219718) q[0];
cx q[1], q[0];
ry(0.1454074864826947) q[0];
ry(-0.... | null | {"source": 0, "sink": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(1.5708) q[2];\nry(-1.5708) q... | [
"IZZ",
"ZIZ",
"IZI",
"IIZ",
"ZII"
] | [
-1.25,
1.5,
-1.25,
-0.25,
1.5
] | 0.998049 | [
0.707331722307411,
1.4871712470846223,
0.8597462707622504,
-1.3799562985781975,
-1.4711756176015598,
1.541381398439436,
-1.3965271552689695,
-0.16148817852256322,
-0.2575056935640775,
0.2663957319896916,
-0.1803796305048725,
0.0016697777359003935,
-0.24197649101399368
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -9.3,
"target_ratio": 0.97,
"target_value": -9.021
} | 1 |
f2268dbc2cd9e9d8be6517cd34bc9399 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 3}]} | {"states": [10, 5], "expectation_value": -0.9301358398723403, "params": [[-0.0316, -0.0477, -0.0236, -0.0455], [0.010100000000000001, 0.0603, 0.035, 0.0412]], "bitstrings": ["0101", "1010"], "total_optimization_steps": 10, "probabilities": [0.0755889060867912, 0.10699605297573517], "optimization_time": 2.45119643211364... | -1.25 * (Z(0) @ Z(2)) + 1.5 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.5 * (Z(1) @ Z(3)) + -1.5 * Z(2) + -0.25 * Z(0) + 0.0 * Z(3) + 1.75 * Z(1) | 1 | 4 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["1010"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.08466080018590566) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.4712491131715458) q[1];
cx q[2], q[1];
rz(0.6656506840572414) q[2];
rx(1.5126955950453878) q[2];
h q[3];
cx q[0], q[3];
rz(-0.04495793256312783) 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": 3} | {"circuits": [], "gradients": []} | [
"IZIZ",
"ZIIZ",
"IZZI",
"ZIZI",
"IZII",
"IIIZ",
"ZIII",
"IIZI"
] | [
-1.25,
1.5,
-0.25,
-1.5,
-1.5,
-0.25,
0,
1.75
] | 0.564109 | [
0.08466080018590566,
-0.04495793256312783,
0.4712491131715458,
0.6656506840572409,
-1.5403474266364232,
-1.5490134012367487,
1.5126955950453878
] | {
"n_parameters": 7,
"n_qubits": 4,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 191 |
087038e9edc1ea672825729ff4eba005 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6... | {"states": [24383, 32575], "expectation_value": -6.34789366217086, "params": [0.9062, 0.10600000000000001, 0.9105000000000001, 0.23600000000000002, 0.9035000000000001, 0.36910000000000004, 0.9077000000000001, 0.0019, 0.9067000000000001, -0.0017000000000000001, 0.9103, -0.0027, 0.9047000000000001, -0.0015, -0.0025, 0.65... | 0.5 * (Z(9) @ Z(11)) + 1.0 * (Z(12) @ Z(11)) + 0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(10) @ Z(11)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(12)) + -0.5 * (Z(0) @ Z(9)) + -0.5 * (Z(0) @ Z(10)) + -1.0 * (Z(1) @ Z(9)) + -1.0 * (Z(1) @ Z(10)) + 0.9090909090909091 * (Z(1) @ Z(0)) + -0.5 * (Z(2) @ Z(9)) + -0.5 * (Z(2) @ Z(10)) + 0... | 16 | 15 | 2 | {"smallest_eigenvalues": [-20.27272727272699], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.99999999999982, "smallest_bitstrings": ["000000011000000"], "largest_eigenvalue": 36.9090909090908} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
rx(2.8614287082955054) q[0];
rz(-0.4707583099811581) q[0];
rx(3.4155641567142934) q[1];
rz(0.7617627833178526) q[1];
rx(3.355608374216573) q[2];
rz(-0.7114090480604071) q[2];
rx(3.1031710721717287) q[3];
rz(-1.6856091863259048) q[3];
rx(3.298981659218298) q[4];
rz(-0.6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIZIIIIIIIII",
"IIZZIIIIIIIIIII",
"IIZIIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"IIIIZZIIIIIIIII",
"IIZIZIIIIIIIIII",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIIZ",
"IIIIIZIIIIIIIZI",
"IIIIZIIIIIIIIZI",
"IIIIIIIIIIIIIZZ",
"IIIIIZIIIIIIZII",
"IIIIZIIIIIIIZII",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZZI",
"... | [
0.5,
1,
0.5,
0.5,
1,
0.5,
-0.5,
-0.5,
-1,
-1,
0.9090909090909091,
-0.5,
-0.5,
0.45454545454545453,
0.9090909090909091,
0.5,
0.5,
1,
1,
1,
0.9090909090909091,
0.45454545454545453,
-0.045454545454545456,
4.5,
1,
4.5,
1,
0.8181818181818181,
1.6363636363636362,
... | 0.9787 | [
2.8614287082955054,
0.09322718931803065,
3.4155641567142934,
0.7617627833178526,
3.355608374216573,
-0.7114090480604071,
3.1031710721717287,
-1.6856091863259048,
3.298981659218298,
-0.6650424839892606,
3.2225156967133604,
-0.880104913848808,
2.9895579168603836,
-0.7932929792033736,
0.084... | {
"n_parameters": 36,
"n_qubits": 15,
"optimal_eigenvalue": -20.27272727272695,
"target_ratio": 0.97,
"target_value": -19.66454545454514
} | 33 |
8868119259763015765 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 4], [0, 3, 5], [1, 2], [0, 2, 3], [2, 5]]} | {"states": [21, 49], "expectation_value": -0.05653980482086833, "params": [[0.0776], [-0.0838]], "bitstrings": ["101010", "001110"], "total_optimization_steps": 10, "probabilities": [0.017122569039683934, 0.017122569039683937], "optimization_time": 0.46364331245422363} | 0.5 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.3333333333333333 * Z(3) + 0.333333333... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.8333333333333328, "smallest_bitstrings": ["001110", "101010", "010101", "010001", "110001"], "largest_eigenvalue": 3.4999999... | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(0.9849376974969309) q[0];
rz(1.6570402497690635) q[0];
rx(1.569944279358707) q[1];
rz(1.5221070789099356) q[1];
rx(2.1168918503284937) q[2];
rz(1.507283733028582) q[2];
rx(2.1721708303012006) q[3];
rz(1.6709081578155098) q[3];
rx(-3.024962909970945) q[4];
rz(1.741688... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[3], q[0];
rz(x1) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(x2) q[5]... | null | {"circuits": [], "gradients": []} | [
"IZIIZI",
"IIZIIZ",
"ZIZIII",
"ZIIIIZ",
"IIIZZI",
"IIZZII",
"IIIZIZ",
"ZIIZII",
"IZIIII",
"IIIIZI",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0,
0,
0.3333333333333333,
0.3333333333333333,
0.16666666666666663,
0.16666666666666674
] | 0.985615 | [
0.9849376974969308,
0.08624392297416708,
1.569944279358707,
-0.04868924788496098,
2.1168918503284937,
-0.06351259376631485,
2.1721708303012006,
0.10011183102061308,
3.2582223972086415,
0.17089211056734818,
0.05704170011070364,
0.0936776049951992,
1.233950902787103,
0.7868343913098163,
1.... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -1.8333333333333333,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 15 |
-4697285327909507156 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2], [6, 7], [8, 2, 4, 7], [0, 1, 3, 4, 5, 6, 8], [0, 1, 7], [1, 2, 3, 5, 7], [2, 4, 5, 6]]} | {"states": [314, 315], "expectation_value": -0.4999187046364712, "params": [[-0.2581], [0.26930000000000004]], "bitstrings": ["011000101", "011000100"], "total_optimization_steps": 30, "probabilities": [0.004085897256932525, 0.004116791045550071], "optimization_time": 2.096884250640869} | 0.5 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.023809523809523808 * (Z(6) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.08333333333333333 * (Z(8) @ Z(2)) + 0.023809523809523808 * (Z(8) @ Z(0)) + 0.023809523809523808 * (Z(8) @ Z(6)) + 0.08333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.140476190476191], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0333333333333337, "smallest_bitstrings": ["011000100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
ry(-0.20547992343903995) q[1];
h q[2];
ry(-0.4161333281691563) q[2];
cx q[0], q[2];
ry(0.4161333281691563) q[2];
cx q[0], q[2];
ry(1.0587625047129507) q[0];
ry(-0.31783249640056144) q[2];
ry(-2.2150929496612792) q[3];
rz(-pi) q[3];
h q[4];
ry(1.039804995... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIZIIIZII",
"IIZIIIIIZ",
"IZIIIIZII",
"IZIIIIIIZ",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIZIZII",
"IIIIZIIIZ",
"IIZIZIIII",
"IZIIZIIII",
"ZIIIZIIII",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIZIIIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IIIIZIIZI",
"... | [
0.5,
0.08333333333333333,
0.023809523809523808,
0.13333333333333333,
0.16666666666666666,
0.5,
0.08333333333333333,
0.023809523809523808,
0.023809523809523808,
0.08333333333333333,
0.16666666666666666,
0.023809523809523808,
0.10714285714285714,
0.08333333333333333,
0.10714285714285714,
... | 0.97602 | [
1.2806822408250766,
-1.1708187016872802,
1.150845141629311,
1.0398049952900905,
-0.8322666563383126,
0.8635984181010599,
-0.6356649928011229,
0.3903281732237819,
-0.206064968832226,
0.44052460863005755,
-0.46589249343274,
0.08923894530050204,
0.3296619335961657,
0.49258821177162304,
-0.4... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -2.140476190476191,
"target_ratio": 0.97,
"target_value": -2.076261904761905
} | 3 |
b5910a324f048b27c641d80d330b3d22 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 8}, {"weight": 19, "source": 0, "target": 2}, {"weight": 16, "sourc... | {"states": [482, 418], "expectation_value": -36.63010394969251, "params": [[[0.5028, 0.0016], [0.49010000000000004, 0.0038], [0.383, 0.0649], [0.49810000000000004, 0.0033], [0.1585, -0.1777], [-0.005, 0.3054], [-0.0043, 0.38430000000000003], [0.5031, 0.0015], [0.0004, -0.27]], [[0.5039, 0.0016], [0.48850000000000005, 0... | 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)) + 0.5 * Z(3) + 8.0 * Z(0) + 2.0 * Z(2) + 0.5 * Z(1) + -6.5... | 1 | 9 | 4 | {"smallest_eigenvalues": [-59.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["001011101"], "largest_eigenvalue": 83.0} | 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] x19;
input float[64] x2;
input float[... | {"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,
0.5,
8,
2,
0.5,
-6.5,
-10,
-9,
-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 |
-5741738818463455340 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 10, 7], [8, 3, 4], [8, 10, 7], [8, 11, 4], [8, 2, 10], [9, 10, 3], [0, 4, 7], [9, 7], [11, 3], [11, 7], [3, 6], [11, 5], [9, 6], [2, 11], [1, 3, 7], [9, 2, 3], [8, 6], [8, 5], [0, 11, 4], [0, 8], [10, 4], [1, 11], [1, 5, 7], [9, 4, 5], [3, 5], [0, 3],... | {"states": [413, 3826], "expectation_value": -0.18878600372198842, "params": [[0.057100000000000005], [-0.0531]], "bitstrings": ["111001100010", "000100001101"], "total_optimization_steps": 10, "probabilities": [0.00028029166796612507, 0.00028250694980430543], "optimization_time": 26.84835648536682} | 0.3333333333333333 * (Z(0) @ Z(10)) + 0.3333333333333333 * (Z(7) @ Z(10)) + 0.3333333333333333 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(10)) + 0.5 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(8) @ Z(7)) + 0.3333333333333333 * (Z(3) @ Z(10)) + 0.5 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.3333333333333333 * (Z(3)... | 1 | 12 | 1 | {"smallest_eigenvalues": [-6.999999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.666666666666668, "smallest_bitstrings": ["000100001101"], "largest_eigenvalue": 20.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(2.0217835909256205) q[0];
ry(-0.0032346397661442983) q[1];
ry(1.9663872223389305) q[2];
ry(-0.06722008692984954) q[3];
ry(-0.0263500247403069) q[4];
ry(1.4696637783922604) q[5];
ry(-0.0037058377878518194) q[6];
ry(2.371469684587147) q[7];
ry(-0.14158331995521062) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
... | null | {"circuits": [], "gradients": []} | [
"IZIIIIIIIIIZ",
"IZIIZIIIIIII",
"IIIIZIIIIIIZ",
"IZIZIIIIIIII",
"IIIZIIIIIIIZ",
"IIIZZIIIIIII",
"IZIIIIIIZIII",
"IIIIIIIIZIIZ",
"IIIIZIIIZIII",
"IIIZIIIIZIII",
"IZIIIIIZIIII",
"IIIIIIIZIIIZ",
"IIIIZIIZIIII",
"IIIZIIIZIIII",
"IIIIIIIZZIII",
"ZZIIIIIIIIII",
"ZIIIIIIIIIIZ",
"ZIIIZIIII... | [
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.5,
0.5,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.3333333333333333,
0.5,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,... | 0.971453 | [
2.0217835909256205,
-0.0032346397661442983,
1.9663872223389305,
-0.06722008692984954,
-0.0263500247403069,
1.4696637783922604,
-0.0037058377878518194,
2.371469684587147,
-0.14158331995521062,
0.09098688175992263,
1.5006022023635737,
0.11959010335236106,
1.1483722359156583,
2.78337253434812... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -6.999999999999998,
"target_ratio": 0.97,
"target_value": -6.789999999999998
} | 34 |
4620350738221871797 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2, 3], [2, 5, 6], [8, 2, 3, 4], [0, 1, 3], [8, 2, 3, 5], [0, 4, 6, 7], [8, 3, 7], [0, 3, 4, 6], [0, 8, 7], [0, 1, 7], [8, 2, 4, 5], [8, 1], [8, 4, 5, 7], [0, 5], [1, 5], [0, 1, 2, 4], [3, 5, 6], [2, 3, 6, 7]]} | {"states": [123, 250], "expectation_value": -3.9136457478140816, "params": null, "bitstrings": ["110000100", "100000101"], "total_optimization_steps": 63, "probabilities": [0.07969277382689688, 0.8086531055058936], "optimization_time": 163.97808814048767} | 0.25 * (Z(1) @ Z(2)) + 0.41666666666666663 * (Z(3) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(2)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.999999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.916666666666667, "smallest_bitstrings": ["100000101"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.5528124118379364) q[0];
h q[1];
h q[2];
ry(1.3416818138141087) q[2];
h q[3];
ry(1.4897540965499438) q[3];
ry(-3.0875961780921313) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[0];
ry(0.5528124118379364) q[0];
cx q[5], q[0];
ry(-0.14935415202951471) q[0];
h q[6];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5703) 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] = m... | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIZIIZII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZIIIZII",
"IIZIIZIII",
"IIZZIIIII",
"ZIIIIIZII",
"ZIIIIIIZI",
"ZIIIIZIII",
"ZIIZIIIII",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZIZIIII",
"ZIIIZIIII",
"IIIIIIZIZ",
"IIIIIIIZZ",
"... | [
0.25,
0.41666666666666663,
0.3333333333333333,
0.3333333333333333,
0.5,
0.25,
0.25,
0.3333333333333333,
0.3333333333333333,
0.25,
0.5,
0.3333333333333333,
0.25,
0.25,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.25,
0.08333333333333333,
... | 0.973074 | [
1.4897540965499438,
1.5890454721970653,
1.3416818138141087,
-1.1285042424651506,
1.3161205117863315,
-1.1056248236758728,
0.6963760892664109,
-0.5511109910084768,
0.43019858470676753,
-0.27663654924205844,
-0.9366545717541048,
0.4013586790218068,
-0.29870830405902943,
0.3359134691647138,
... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -3.999999999999999,
"target_ratio": 0.97,
"target_value": -3.879999999999999
} | 3 |
-8130761535533955353 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 7], [3, 4], [3, 6], [5, 6], [1, 2], [2, 4], [4, 6], [1, 3], [0, 2], [4, 5], [0, 1], [0, 6], [2, 6], [2, 3], [2, 7], [5, 7]]} | {"states": [75, 180], "expectation_value": -0.184845278487761, "params": [[-0.07730000000000001], [0.0775]], "bitstrings": ["10110100", "01001011"], "total_optimization_steps": 10, "probabilities": [0.0048979008395426005, 0.0048979008395426005], "optimization_time": 2.3307433128356934} | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["01001011", "10110100"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(2.9939338513462355) q[0];
rz(-0.16055874047158447) q[0];
rx(0.09818134403094521) q[1];
rz(-1.1750237666029018) q[1];
rx(2.8132472006139024) q[2];
rz(-1.048365884453505) q[2];
rx(3.2601517936905657) q[3];
rz(0.1047600791986249) q[3];
rx(-0.24617401928603738) q[4];
rz(... | 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[0];
rz(x0) q[0];
cx q[7], q[0];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[0], q[6];
rz(x0) q[6];
cx q[0], q[6];
cx q[4]... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIZ",
"IIIZZIII",
"IZIIIIIZ",
"IZIZIIII",
"IZIIZIII",
"ZIZIIIII",
"IIZZIIII",
"IZZIIIII",
"IIIIIIZZ",
"IIIIZIZI",
"ZIIIIZII",
"IIIIIZIZ",
"IIIZIZII",
"IIIIZZII",
"IZIIIZII",
"IIIIIZZI",
"ZIIIIIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII",
"IIIIIIZ... | [
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
] | 0.973964 | [
2.9939338513462355,
-0.16055874047158447,
0.09818134403094521,
-1.1750237666029018,
2.8132472006139024,
-1.048365884453505,
3.2601517936905657,
0.1047600791986249,
-0.24617401928603738,
1.1104741593841023,
2.9881398426478225,
-0.10739053811871613,
0.057885563925893724,
-0.00415618459563721... | {
"n_parameters": 16,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 36 |
117d5eadcb002c843d1e10097e462227 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [0, 48], "expectation_value": -3.0624053386490613, "params": null, "bitstrings": ["111111", "001111"], "total_optimization_steps": 17, "probabilities": [1.709568199031711e-05, 0.9999393873340369], "optimization_time": 28.10831904411316} | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(4)) + -0.0... | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.0625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0625, "smallest_bitstrings": ["001111"], "largest_eigenvalue": 4.9375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(1.4479777882315188) q[0];
rz(-0.0410635451729493) q[0];
rx(1.6707270756630017) q[1];
rz(-0.5025707057789535) q[1];
rx(0.12191439196254802) q[2];
rz(-0.10535812139801859) q[2];
rx(-0.17080179574029059) q[3];
rz(0.36643007906481095) q[3];
rx(0.12191439196254804) q[4];
... | 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(-1.4868) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"IZIIIZ",
"IIZIIZ",
"IIIZZI",
"IZIIZI",
"IIZIZI",
"IZIZII",
"IIZZII",
"IZZIII",
"IIIZZZ",
"IZIIZZ",
"IIZIZZ",
"IZIZIZ",
"IIZZIZ",
"IZZIIZ",
"IZIZZI",
"IIZZZI",
"IZZIZI",
"IZZZII",
"IZIZZZ",
"IIZZZZ",
"IZZIZZ",
"IZZZIZ",
"IZZZZI",
"IZZZZZ",
"ZII... | [
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,
0.5,
0.5,
-0.0625,
-0.0625,
-0.5625,
... | 0.975636 | [
1.447977788231519,
-0.13929152858914753,
1.670727075663002,
0.12191439196254804,
0.2784167354321591,
-0.1708017957402906,
0.6155213340906953,
0.34082768408182945,
0.07876221148488821,
-0.5482503076417033,
0.39134103961369215,
-0.49818251005176784,
-0.7675497136603552,
-0.7265583543796119,
... | {
"n_parameters": 27,
"n_qubits": 6,
"optimal_eigenvalue": -3.0625,
"target_ratio": 0.97,
"target_value": -2.970625
} | 11 |
-4661886308928240865 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 5], [0, 1, 3, 4, 7, 8], [2, 3, 4, 5, 6, 8], [4, 5, 6, 7], [1, 2], [0, 6], [0, 2, 3, 4, 5, 7], [0, 2, 3, 4, 7, 8]]} | {"states": [379, 347], "expectation_value": -2.1564660029166496, "params": [1.3961000000000001, 0.030600000000000002, 1.3914, 0.009000000000000001, 0.2947, 0.6142000000000001, 0.2974, 0.0053, 1.3954, -0.18760000000000002, 1.3996000000000002, 0.0094, 1.1440000000000001, -0.4283, 0.9697, 0.0059, 1.3933, -0.29350000000000... | 0.5 * (Z(1) @ Z(5)) + 0.03333333333333333 * (Z(0) @ Z(5)) + 0.03333333333333333 * (Z(0) @ Z(1)) + 0.06666666666666667 * (Z(3) @ Z(5)) + 0.03333333333333333 * (Z(3) @ Z(1)) + 0.1 * (Z(3) @ Z(0)) + 0.15 * (Z(4) @ Z(5)) + 0.03333333333333333 * (Z(4) @ Z(1)) + 0.1 * (Z(4) @ Z(0)) + 0.13333333333333333 * (Z(4) @ Z(3)) + 0.1... | 5 | 9 | 1 | {"smallest_eigenvalues": [-2.483333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4166666666666665, "smallest_bitstrings": ["010100100"], "largest_eigenvalue": 6.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.2871334954227711) q[0];
rz(-0.08043822023907676) q[0];
rx(0.2091817403868716) q[1];
rz(0.750401042541176) q[1];
rx(1.4911390160782438) q[2];
rz(-0.2812085281154242) q[2];
rx(0.5468661044071467) q[3];
rz(-1.2280235148950935) q[3];
rx(1.2956358645558257) 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": []} | [
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIIIIIZZ",
"IIIZIZIII",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIZZIIII",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZZIII",
"IZIZIIIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIZIII",
"IZIIZIIII",
"ZIIZIIIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIZIII",
"ZIIIZIIII",
"ZZIIIIIII",
"... | [
0.5,
0.03333333333333333,
0.03333333333333333,
0.06666666666666667,
0.03333333333333333,
0.1,
0.15,
0.03333333333333333,
0.1,
0.13333333333333333,
0.11666666666666667,
0.03333333333333333,
0.1,
0.1,
0.18333333333333332,
0.03333333333333333,
0.03333333333333333,
0.06666666666666667,... | 0.973303 | [
1.2871334954227713,
-0.09102593847608094,
0.20918174038687157,
0.3994451659403803,
1.4911390160782438,
-0.3129791471697701,
0.5468661044071467,
-0.9798605272406027,
1.2956358645558257,
-0.49383331167363237,
2.2236262643566524,
-0.2020762340907497,
0.08464972855885075,
-0.9707045236035428,
... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -2.483333333333333,
"target_ratio": 0.97,
"target_value": -2.408833333333333
} | 41 |
2595393ec6a8cf85d387fa4d443f68fe | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [5, 58], "expectation_value": -1.0218099221622392, "params": [[0.0734, 0.0675, 0.0695, 0.0665], [-0.0781, -0.0597, -0.0601, -0.0609]], "bitstrings": ["111010", "000101"], "total_optimization_steps": 10, "probabilities": [0.03287530100679274, 0.03481693190273865], "optimization_time": 6.233116149902344} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + 0.0 * Z(2) + -0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["000101"], "largest_eigenvalue": 7.5} | 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(0.039378763522295586) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.039378763522295586) q[1];
cx q[3], q[1];
h q[4];
cx q[3], q[4];
rz(0.039378763522295586) q[4];
cx q[3], q[4];
rz(-1.5354177947497778) q[3];
rx(-1.63381938549... | OPENQASM 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": []} | [
"IIZIIZ",
"ZIIIIZ",
"IIZIZI",
"ZIIIZI",
"ZIIZII",
"IZZIII",
"ZZIIII",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1.5,
-0.5,
0,
-0.5
] | 0.980264 | [
0.039378763522295586,
-1.5354177947497778,
1.43026941588834,
-1.4957618524327259,
1.2143430960656043,
-1.6338193854963232
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 44 |
b3430a7a5a7846c97441f35820d47c84 | 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": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [10, 97], "expectation_value": -1.464139302862377, "params": [[0.06470000000000001, 0.0687, 0.075], [-0.058600000000000006, -0.060500000000000005, -0.0713]], "bitstrings": ["1110101", "0011110"], "total_optimization_steps": 10, "probabilities": [0.014277618793046353, 0.016183293720274973], "optimization_time... | 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(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0011110"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-1.108879766134531) q[0];
rz(-pi) q[0];
h q[1];
h q[2];
ry(-0.3516677727460137) q[2];
h q[3];
ry(-1.593249089494895) q[3];
h q[4];
ry(-0.3516677727460137) q[4];
cx q[1], q[4];
ry(0.3516677727460137) q[4];
cx q[1], q[4];
ry(1.2846215168941915) q[1];
ry(-0.686288719035... | OPENQASM 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": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZIIIIZ",
"IIIZIZI",
"IIZIIZI",
"IZIIIZI",
"ZIIIZII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"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,
-1.5,
-1.5,
-1.5,
-1,
-1.5,
-1,
-0.5
] | 0.975713 | [
-1.593249089494895,
-0.7610973356940154,
-0.7033355454920274,
1.1866022252764412,
-0.43584830422961574,
0.19603858323550014,
0.3391240726814657,
-0.7546312527850684,
-0.5008808296114101,
0.5983615500672997,
1.8625187327051302,
-0.365480050857801,
-0.07502380661129479,
-0.03747054021570255,... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 11 |
64eae7c41dfa3290e7cb58a32391f057 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [4, 68], "expectation_value": -2.247802865635872, "params": [0.8099000000000001, -0.0014, 0.5630000000000001, -0.005, 0.0023, 0.5881000000000001, 0.0029000000000000002, 0.6005, 0.806, 0.0015, 0.7045, -0.0017000000000000001, 0.0026000000000000003, 0.45370000000000005, 0.8076, 0.003, 0.4874, -0.1865, 0.0023, -... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(3) @ Z(0)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(6) @ Z(0)) + 0.0625 * (Z(3) @ Z(2)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(6) @ Z(4)) + -0.0625 * (Z(3) @ Z(0) @ Z... | 4 | 7 | 2 | {"smallest_eigenvalues": [-3.0625, -3.0625, -3.0625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0625, "smallest_bitstrings": ["1011011", "0111011", "0111101"], "largest_eigenvalue": 5.9375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-1.7142267882264043e-08) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(-1.7142267882264043e-08) q[1];
cx q[5], q[1];
rz(1.5707963949014605) q[1];
rx(-1.5707963527915116) q[1];
cx q[5], q[2];
rz(-1.71422678822640... | OPENQASM 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",
"IZZIIII",
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"ZIIIIIZ",
"IIIZZII",
"IIZIZII",
"ZIIIZII",
"IIZZIII",
"ZIIZIII",
"ZIZIIII",
"IIIZZIZ",
"IIZIZIZ",
"ZIIIZIZ",
"IIZZIIZ",
"ZIIZIIZ",
"ZIZIIIZ",
"IIZZZII",
"ZIIZZII",
"ZIZIZII",
"ZIZZIII",
"IIZZZIZ",
"ZIIZZIZ",
"ZIZ... | [
0.5,
0.5,
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,
0.5,
-0.0625,
-0.5,
-0.56... | 0.7125 | [
-1.7142267882264043e-8,
-1.5707963292115212,
-0.2526802727725982,
1.5707963949014605,
-1.5707963527915116
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 167 |
e8fdec38f32f10530d269f6547919d57 | 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": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [9, 26], "expectation_value": -0.9886475616184645, "params": [[-0.0723, -0.08030000000000001, -0.07780000000000001], [0.0751, 0.0777, 0.0742]], "bitstrings": ["110110", "100101"], "total_optimization_steps": 10, "probabilities": [0.02739790435957452, 0.030234892910143543], "optimization_time": 3.444605827331... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -1.5 * Z(5) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100101"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.17949889982137707) q[0];
h q[1];
ry(-0.14797600783105308) q[1];
h q[2];
ry(1.6432224921298026) q[2];
h q[3];
cx q[3], q[0];
ry(0.17949889982137707) q[0];
cx q[3], q[0];
ry(0.8547520083356644) q[0];
h q[4];
cx q[4], q[1];
ry(0.14797600783105308) q[1];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} | [
"IIIIZZ",
"IIIZIZ",
"ZIIIZI",
"ZIIIIZ",
"IIZZII",
"ZIZIII",
"ZZIIII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-1.5,
-1,
-0.5
] | 0.972171 | [
-0.29595201566210616,
-0.35899779964275413,
1.6432224921298026,
0.9033872731020592,
-0.4118355892285082,
0.7485108173051358,
-0.3753867049038224,
-0.10690644632358749,
0.32912167940678394,
-0.21107854551076083,
0.6268900816335382,
-0.009865066915267423,
0.06148966405270589,
0.2832723267589... | {
"n_parameters": 55,
"n_qubits": 8,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 50 |
1dcb3c744ddd55658248ce3c7196418c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}]} | {"states": [0, 6], "expectation_value": -1.887537825330675, "params": [0.38720000000000004, -0.0648, 0.37120000000000003, -0.046400000000000004, 0.3945, 0.0167, 0.34550000000000003, -0.0732, -0.2237, 0.5912000000000001, 0.24130000000000001, 0.24330000000000002, 0.3592, 0.022000000000000002, 0.2666, 0.0066, 0.3387, 0.06... | -1.0 * (Z(0) @ Z(1)) + 0.5 * Z(1) + 0.5 * Z(0) + -0.5 * Z(2) | 6 | 3 | 4 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["001"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(1.0652804248318555) q[0];
rz(-0.4790339043757319) q[0];
rx(0.9745577300577288) q[1];
rz(0.29346053770470665) q[1];
rx(0.0157130110860835) q[2];
rz(0.618448567596635) q[2];
rx(1.0308831125161482) q[3];
rz(0.23627299479722735) q[3];
rx(1.1756644845217723) q[4];
rz(0.3... | 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[... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IZZ",
"IZI",
"IIZ",
"ZII"
] | [
-1,
0.5,
0.5,
-0.5
] | 0.970132 | [
1.0652804248318557,
-0.3214709232980808,
0.9745577300577288,
0.29346053770470665,
0.0157130110860835,
0.618448567596635,
1.0308831125161482,
0.23627299479722735,
1.1756644845217723,
0.3067858491711559,
1.00009586838585,
-0.016079870551915385,
1.0041750502695932,
-0.3884080547291887,
0.19... | {
"n_parameters": 137,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999897,
"target_ratio": 0.97,
"target_value": -19.3999999999999
} | 19 |
5264b19f3401032e019b258a19fe08a0 | 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": 4, "source": 0, "target": 7}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 3, "source": 3, ... | {"states": [95, 127], "expectation_value": -0.2952209451375102, "params": [[-0.0873], [0.08080000000000001]], "bitstrings": ["10100000", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004963980840810923, 0.0050249217933803795], "optimization_time": 4.067695617675781} | 0.25 * (Z(0) @ Z(7)) + -0.5 * (Z(1) @ Z(7)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(2) @ Z(4)) + -1.0 * (Z(6) @ Z(5)) + -1.0 * Z(7) + -0.25 * Z(0) + 1.25 * Z(1) + 0.0 * Z(3) + 1.0 * Z(5) + 0.25 * Z(4) + -0.25 * Z(2) + -1.0 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000000", "10100010", "10100000", "10000010"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.5005925624115236) q[0];
h q[1];
ry(1.591564001118678) q[1];
h q[2];
h q[3];
ry(0.6952504778853904) q[3];
h q[4];
ry(0.6873945331184697) q[4];
h q[5];
ry(0.7975154858498489) q[5];
cx q[1], q[5];
ry(-0.7975154858498489) q[5];
cx q[1], q[5];
cx q[1], q[0];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
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[7], q[0];
r... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIIZIZI",
"ZIZIIIII",
"IIZIZIII",
"ZIIZIIII",
"IIZZIIII",
"IIIZIZII",
"IZZIIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"IIIIIZII",
"IZIIIIII"
] | [
0.25,
-0.5,
-0.75,
-0.25,
-0.75,
-0.5,
-0.5,
-0.25,
-1,
-1,
-0.25,
1.25,
0,
1,
0.25,
-0.25,
-1
] | 0.990522 | [
1.591564001118678,
1.5950309716996978,
1.3905009557707808,
1.3747890662369393,
-1.0011851248230472,
1.5602692576684745,
-0.47416091488479784,
0.15379816803838467,
-0.0676587155553047,
0.014497427338701935,
0.011633393811882156,
-0.04397621596557995,
-0.044092031982984496
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 1 |
1e191a11f35582298737a38bddb93633 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": ... | {"states": [0, 264], "expectation_value": -25.888199277111255, "params": [-0.5157, -0.0024000000000000002, 0.5317000000000001, 0.0033, -0.0081, 0.19540000000000002, 0.0092, 0.0004, 0.0024000000000000002, 0.5935, 0.0025, 0.009600000000000001, 0.8013, 0.0016, 0.8017000000000001, 0.0047, 0.0675, -0.0154, -0.0403, 0.0043, ... | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(10) @ Z(0)) + -0.75 * (Z(10) @ Z(6)) + -0.25 * (Z(11) @ Z(0)) + -0.25 * (Z(11) @ Z(4)) + -1.75 * (Z(11) @ Z(6)) + -1.0 * (Z(11) @ Z(10)) + -1.0 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(4)) + -1.5 ... | 6 | 12 | 1 | {"smallest_eigenvalues": [-28.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.5, "smallest_bitstrings": ["111011110111"], "largest_eigenvalue": 27.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.12215821646063887) q[0];
rz(pi/2) q[0];
ry(-0.12569544221765014) q[1];
ry(0.05497722570716877) q[2];
ry(0.21805274698586835) q[3];
ry(0.10051210072289729) q[4];
ry(0.11323463681351836) q[5];
ry(0.16964548084779274) q[6];
ry(0.13744902978504647) q[7];
ry(0.3524138... | OPENQASM 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": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIIZIIIIZI",
"IIIIIZIIIIIZ",
"IZIIIIIIIIIZ",
"IZIIIZIIIIII",
"ZIIIIIIIIIIZ",
"ZIIIIIIZIIII",
"ZIIIIZIIIIII",
"ZZIIIIIIIIII",
"IIIIIIZIIIZI",
"IIIIIIZZIIII",
"ZIIIIIZIIIII",
"IIIIZIIIIIZI",
"IIIIZIIZIIII",
"IZIIZIIIIIII",
"ZIIIZIIII... | [
-0.5,
-0.75,
-0.5,
-0.25,
-0.75,
-0.25,
-0.75,
-0.25,
-0.25,
-1.75,
-1,
-1,
-0.25,
-1.5,
-1.25,
-1,
-1.75,
-1,
-0.25,
-1,
-0.75,
-0.75,
-1,
-1.75,
-1,
2.5,
-0.25,
-1,
-0.5,
-0.75,
-0.5,
-0.75,
-0.5,
-0.5,
1.75,
-0.25,
0.75,
-2.5,
0.25,
1.... | 0.971368 | [
-0.12215821646063887,
-0.12569544221765014,
0.05497722570716877,
0.21805274698586835,
0.10051210072289729,
0.11323463681351836,
0.16964548084779274,
0.13744902978504647,
0.35241382920821174,
0.06146342793739926,
-0.03761530527361674,
-0.03749665349489062,
0.3314581834487027,
0.221449767023... | {
"n_parameters": 152,
"n_qubits": 12,
"optimal_eigenvalue": -28.5,
"target_ratio": 0.97,
"target_value": -27.645
} | 9 |
ae9c84de96340fafef2df50aa0a81910 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [50, 22], "expectation_value": -4.996464057144183, "params": null, "bitstrings": ["1001101", "1101001"], "total_optimization_steps": 31, "probabilities": [0.06634840825551175, 0.9303662303742033], "optimization_time": 32.642154693603516} | 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(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + -1.0 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(5) + -0.5 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1001101", "1101001"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.18906960300818731) q[0];
rz(0.158699787040575) q[0];
ry(1.0992299556626917) q[1];
rz(0.29797241520627515) q[1];
cz q[1], q[0];
ry(0.14663774078681105) q[0];
rz(-0.38992404017205684) q[0];
ry(1.102786827897618) q[1];
ry(-0.18937635618798024) q[2];
rz(-0.36706097816... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IZIIIIZ",
"IZIZIII",
"IIZIIZI",
"ZIIIZII",
"ZZIIIII",
"ZIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-1.5,
-1,
-1,
-0.5,
-1
] | 0.97418 | [
0.18906960300818731,
0.158699787040575,
1.0992299556626917,
0.29797241520627515,
-0.18937635618798024,
-0.3670609781624589,
0.26177128026265717,
0.2127426690448129,
-0.04094715412144846,
0.6046482249090953,
0.1334960340852437,
-0.42390203013161915,
0.010825512192054576,
0.01666871653662485... | {
"n_parameters": 121,
"n_qubits": 11,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 124 |
336dab1a0f29cbb797a483d443b63b25 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 4, "target": 5}, ... | {"states": [100, 27], "expectation_value": -0.12185232119315985, "params": [[-0.0585], [0.0734]], "bitstrings": ["0011011", "1100100"], "total_optimization_steps": 10, "probabilities": [0.008689332606473563, 0.008816887851819468], "optimization_time": 3.1592187881469727} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(6) + 0.0 * Z(1) + -1.5 * Z(4) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["1001100", "1100100", "0001101"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.6473969236370147) q[0];
rz(0.35215528043695477) q[0];
rx(-0.013008556206086708) q[1];
rz(0.19332891221718235) q[1];
cx q[1], q[0];
rz(-0.1531385207380293) q[0];
cx q[1], q[0];
rx(1.4495710349674074) q[0];
rz(0.07118326740233222) q[0];
rx(0.11925075285288905) q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[6];
rz(x0) q[6];
cx q[0], q[6]... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"ZIIIIIZ",
"IIIZIZI",
"IIZZIII",
"ZIZIIII",
"IIZIZII",
"IZZIIII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIZIIII",
"IIIIZII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
0,
-1.5,
0,
0
] | 0.979379 | [
1.6473969236370147,
0.19901675969892568,
-0.013008556206086708,
0.19332891221718235,
0.36220551318406324,
0.3524502787744437,
0.05250514135166462,
-0.7512975575418178,
1.589520017552449,
0.030318796956053686,
0.23214023497988873,
-0.12974989725462044,
1.3485093281983127,
0.2263981211125346... | {
"n_parameters": 30,
"n_qubits": 7,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 15 |
96d3819ecbf0e5da50ec00a60723b600 | 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": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capac... | {"states": [512, 511], "expectation_value": -9.645795693356813, "params": [[[-0.0047, 0.4657], [0.0019, -0.0109], [0.0026000000000000003, -0.0029000000000000002], [0.0015, 0.0022], [0.0048000000000000004, 0.0021000000000000003], [0.0031000000000000003, 0.0031000000000000003], [0.0024000000000000002, 0.0028], [0.0022, -... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(8) @ Z(5)) + -0.75 * (Z(8) @ Z(2)) + -0.75 * (Z(8) @ Z(4)) + 1.5 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z... | 15 | 10 | 4 | {"smallest_eigenvalues": [-10.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.25, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.10158598717807901) q[0];
ry(0.08889514719719913) q[1];
ry(0.07664250448799574) q[2];
ry(-0.13300247973987248) q[3];
ry(-0.009408429365090273) q[4];
ry(0.047978221645255004) q[5];
ry(-0.0037613797151733264) q[6];
ry(0.07664250448799574) q[7];
ry(-1.618457070084472)... | OPENQASM 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",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIZIZIII",
"IIIIIZIIZI",
"IIIIZZIIII",
"IIIIIZIZII",
"IZIIZIIIII",
"IZIIIIIZII",
"IZIIIZIIII",
"ZIIIIIIIIZ",
"ZIIIZIIIII",
"ZIIIIIIZII",
"ZZIIIIIIII",
"IIIZZIIIII",
"IZIZIIIIII",
"IIZIIIIZII",
"IZZIIIIIII"... | [
-0.5,
-0.25,
-0.75,
-0.75,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.75,
-0.75,
1.5,
-0.5,
-0.75,
-0.5,
-0.75,
-0.75,
-0.25,
-0.25,
-0.5,
0.5,
-0.25,
-0.25,
0.75,
0,
-1,
0,
-0.25,
0.5,
0
] | 0.970313 | [
0.10158598717807901,
0.08889514719719913,
0.07664250448799574,
-0.13300247973987248,
-0.009408429365090273,
0.047978221645255004,
-0.0037613797151733264,
-1.618457070084472,
0.33480027974605886,
0.004670696630649212,
0.0022502235439121783,
0.03628498653003024,
-0.009808424964719021,
0.0158... | {
"n_parameters": 45,
"n_qubits": 10,
"optimal_eigenvalue": -10.25,
"target_ratio": 0.97,
"target_value": -9.942499999999999
} | 76 |
8197999484372226377 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 7], [1, 4, 6], [0, 2, 4], [4, 5]]} | {"states": [246, 231], "expectation_value": -0.5105022212148851, "params": [[0.38170000000000004], [-0.38520000000000004]], "bitstrings": ["00001001", "00011000"], "total_optimization_steps": 40, "probabilities": [0.009740022690359569, 0.009740022690359574], "optimization_time": 2.085573196411133} | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.5000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5000000000000002, "smallest_bitstrings": ["00011000"], "largest_eigenvalue": 3.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.2788665925630512) q[0];
rz(-0.18934360118131555) q[0];
rx(-0.22642508096151048) q[1];
rz(-0.07878476011618112) q[1];
rx(3.1521269734084014) q[2];
rz(0.4388116102719267) q[2];
rx(-0.0004595672404492622) q[3];
rz(0.2730878321651497) q[3];
rx(3.1155490740978986) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[7];
rz(x0) q[7];
cx q[3], q[7];
cx q[0], q... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"ZIIIZIII",
"ZIIIIIIZ",
"IIIZIIIZ",
"IIIZIIZI",
"IZIZIIII",
"IZIIIIZI",
"IIIIIZIZ",
"IIIZIZII",
"IIZZIIII",
"IIIIZIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIZIIII",
"IIIIIIZI",
"IZIIIIII",
"IIIIIZII",
"IIZIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.33333333333333326,
0.166666666... | 0.972285 | [
0.2788665925630512,
-0.18934360118131555,
-0.22642508096151048,
-0.07878476011618112,
3.1521269734084014,
0.4388116102719267,
-0.0004595672404492622,
0.2730878321651497,
3.1155490740978986,
0.05325383335531378,
0.45607268855907546,
0.2565187599457084,
0.01456846102625486,
0.164408888348703... | {
"n_parameters": 16,
"n_qubits": 8,
"optimal_eigenvalue": -1.5000000000000004,
"target_ratio": 0.97,
"target_value": -1.4550000000000003
} | 17 |
d55d504e597705d8581d37ec0d2e41ca | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 1, "target": 6... | {"states": [0, 63], "expectation_value": -3.617738457709227, "params": [[[-0.0021000000000000003, -0.8], [-0.0024000000000000002, 0.0021000000000000003], [-0.0027, -0.0022], [-0.0013000000000000002, -0.003], [-0.0022, -0.0025], [-0.002, 0.26530000000000004], [1.76, 0.0035]], [[0.4464, -1.3739000000000001], [-0.00240000... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(5)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + 0.75 * Z(1) + -0.25 * Z(0) + -0.5 * Z(6) + -0.5 * Z(5) + -0.5 * Z(2) + 0.75 * Z(3) + 0.25 * Z(4) | 15 | 7 | 2 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["1000000", "1010010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6828792687147329) q[0];
h q[1];
ry(1.5288445153467216) q[1];
h q[2];
h q[3];
ry(1.5288445153467216) q[3];
h q[4];
ry(1.4916621282624816) q[4];
h q[5];
ry(0.7458310641312408) q[5];
cx q[2], q[5];
ry(-0.7458310641312408) q[5];
cx q[2], q[5];
ry(0.59828678975... | OPENQASM 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",
"ZIIIIZI",
"ZIIIIIZ",
"IZIIIZI",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"ZIZIIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"ZIIIIII",
"IZIIIII",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
-0.25,
-0.75,
0.5,
-0.5,
-1,
-0.5,
-0.25,
-0.25,
-0.25,
0.75,
-0.25,
-0.5,
-0.5,
-0.5,
0.75,
0.25
] | 0.989602 | [
1.5288445153467216,
1.4916621282624816,
1.550097850061895,
-1.3657585374294658,
1.196573579508862,
0.11369926623801563,
-0.014047065055423413,
0.09207660432302629,
-0.10038361002430576,
0.08382100900060677,
0.15687837360702134,
-0.10724578865064746,
0.0600104112675679,
0.05940034969983188,... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 1 |
2034291987811787586 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 4], [0, 1], [2, 3], [1, 2], [3, 5]]} | {"states": [46, 43], "expectation_value": -2.2479572546498563, "params": null, "bitstrings": ["010001", "010100"], "total_optimization_steps": 35, "probabilities": [0.057266740916939084, 0.8259636029682798], "optimization_time": 25.80961012840271} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["101011", "010100"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[1];
rz(0.8563570392416313) q[1];
cx q[4], q[1];
cx q[1], q[0];
rz(0.8563570392416313) q[0];
cx q[1], q[0];
rz(3.157952299659428e-08) q[0];
rx(-0.7853981648642016) q[0];
cx q[1], q[2];
rz(0.8563570392416313) q[2];
cx q[1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[4], 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 ... | [
"IZIIZI",
"IIIIZZ",
"IIIZZI",
"IIZZII",
"ZIZIII",
"IZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.521919 | [
0.8563570392416313,
3.15795228859461e-8,
-0.7853981648642018
] | {
"n_parameters": 3,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 90 |
7767407377908862442 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 4, 5, 6, 7], [0, 1, 2, 3, 5, 6, 7, 8], [0, 1, 4, 5, 6, 7], [0, 1, 2, 4, 6], [8, 2, 4, 6]]} | {"states": [379, 499], "expectation_value": -0.5769628361109249, "params": [[0.43960000000000005], [-0.43460000000000004]], "bitstrings": ["010000100", "000001100"], "total_optimization_steps": 60, "probabilities": [0.00407848027953394, 0.004078480279533943], "optimization_time": 25.704991579055786} | 0.18333333333333335 * (Z(2) @ Z(4)) + 0.08333333333333334 * (Z(5) @ Z(4)) + 0.06785714285714287 * (Z(5) @ Z(2)) + 0.21666666666666667 * (Z(6) @ Z(4)) + 0.2011904761904762 * (Z(6) @ Z(2)) + 0.10119047619047619 * (Z(6) @ Z(5)) + 0.08333333333333334 * (Z(7) @ Z(4)) + 0.06785714285714287 * (Z(7) @ Z(2)) + 0.101190476190476... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.028571428571429], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0285714285714287, "smallest_bitstrings": ["000001100"], "largest_eigenvalue": 5.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(-1.5040531169145864e-07) q[2];
cx q[4], q[2];
h q[5];
cx q[4], q[5];
rz(4.6100474238223267e-08) q[5];
cx q[4], q[5];
cx q[2], q[5];
rz(1.8485251694803587e-08) q[5];
cx q[2], q[5];
h q[6];
cx q[4], q[6];
rz(3.1415... | OPENQASM 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": []} | [
"IIIIZIZII",
"IIIZZIIII",
"IIIZIIZII",
"IIZIZIIII",
"IIZIIIZII",
"IIZZIIIII",
"IZIIZIIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"IIIIZIIIZ",
"IIIIIIZIZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IIIIZIIZI",
"IIIIIIZZI",
"IIIZIIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IIIIIIIZZ",
"... | [
0.18333333333333335,
0.08333333333333334,
0.06785714285714287,
0.21666666666666667,
0.2011904761904762,
0.10119047619047619,
0.08333333333333334,
0.06785714285714287,
0.10119047619047619,
0.10119047619047619,
0.08333333333333334,
0.06785714285714287,
0.05119047619047619,
0.1011904761904761... | 0.968165 | [
-1.5040531169145864e-7,
4.6100474238223267e-8,
1.8485251694803587e-8,
3.1415930677042416,
-3.926309193873735e-8,
-3.8244762764667006e-8,
-2.151207341848823e-8,
2.5500996439159435e-9,
-1.5707958986085482,
1.5707964768533673,
1.2941919583431951,
1.5707962915144706,
-1.5707966521234729,
1.570... | {
"n_parameters": 15,
"n_qubits": 9,
"optimal_eigenvalue": -1.028571428571429,
"target_ratio": 0.97,
"target_value": -0.997714285714286
} | 387 |
-4940256939787009174 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[4, 5], [8, 2, 5, 6], [1, 6], [5, 6, 7], [3, 5], [2, 6, 7], [2, 4, 6], [8, 4, 7], [0, 4]]} | {"states": [54, 459], "expectation_value": -0.03903020554556773, "params": [[-0.044000000000000004], [0.0524]], "bitstrings": ["111001001", "000110100"], "total_optimization_steps": 10, "probabilities": [0.002057714360204376, 0.002061002080030096], "optimization_time": 0.863837718963623} | 0.5 * (Z(4) @ Z(5)) + 0.08333333333333333 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(8)) + 0.25 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(8)) + 0.4166666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.166666666666666, "smallest_bitstrings": ["000110100"], "largest_eigenvalue": 7.0} | 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];
cx q[5], q[4];
rz(-1.0109578635067284) q[4];
cx q[5], q[4];
h q[6];
h q[7];
h q[8];
cx q[5], q[8];
rz(-0.03548861657082991) q[8];
cx q[5], q[8];
cx q[4], q[8];
cx q[5], q[2];
rz(-0.03548861657082991) q[2];
cx q[5], q[2];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIZZIIII",
"ZIIZIIIII",
"ZIIIZIIII",
"IIIZIIZII",
"IIIIZIZII",
"ZIIIIIZII",
"IIZZIIIII",
"IIZIZIIII",
"ZIZIIIIII",
"IIZIIIZII",
"IIZIIIIZI",
"IZIZIIIII",
"IZIIZIIII",
"ZZIIIIIII",
"IZIIIIZII",
"IZZIIIIII",
"IIIZIZIII",
"IIIIZIIIZ",
"IIIZIIIII",
"IIIIZIIII",
"ZIIIIIIII",
"... | [
0.5,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.25,
0.16666666666666666,
0.08333333333333333,
0.41666666666666663,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333... | 0.607643 | [
-1.0109578635067284,
-0.03548861657082991,
-0.10117695928582378,
-0.10333266542979665,
-0.2898822237689895,
-0.22420424947430406,
-0.48237877782508554,
-1.2321740058904422,
-0.3733008961269092,
0.3046658543981421,
0.8543268912193197
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 250 |
919ebe96150ea33963e1b88a334f3105 | 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": 7}, {"capacity": 5, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 6, "source": 3, ... | {"states": [128, 127], "expectation_value": -2.3268161099066194, "params": [[-0.0506, -0.05, -0.0329], [0.0577, 0.0601, 0.0568]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.009241443267765406, 0.009892360565482662], "optimization_time": 4.447083950042725} | 0.25 * (Z(0) @ Z(7)) + -1.25 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(6)) + -0.75 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(4)) + -0.25 * Z(7) + -0.25 * Z(0) + -2.5 *... | 1 | 8 | 3 | {"smallest_eigenvalues": [-10.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 15.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.47997180051034355) q[0];
h q[1];
ry(0.7419521490927121) q[1];
h q[2];
ry(0.7805616775622914) q[2];
h q[3];
ry(1.6653574126053823) q[3];
h q[4];
ry(0.8326787063026911) q[4];
h q[5];
ry(0.8326787063026911) q[5];
cx q[3], q[5];
ry(-0.8326787063026911) q[5];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"ZIIIIIIZ",
"IZIIIIZI",
"IIIIIZZI",
"IZIIZIII",
"IZIZIIII",
"IIIZIZII",
"IIIZZIII",
"ZIZIIIII",
"IZZIIIII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII"
] | [
0.25,
-1.25,
-1,
-0.75,
-0.75,
-0.75,
-1.5,
-0.5,
-0.25,
-1.75,
-0.25,
-1.25,
-0.25,
-0.25,
-2.5,
-1.5,
0.25,
2.5,
-0.25,
2
] | 0.982925 | [
1.6653574126053823,
1.561123355124583,
1.4839042981854242,
1.4663457416610364,
-0.9599436010206871,
1.605096316058872,
-0.46828747053853337,
0.1743353193150963,
0.01566324934925098,
-0.12821055154197955,
0.5585485193403721,
0.1633788020804623,
-0.4348264220333006,
-0.22682935549148475,
0... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -10.75,
"target_ratio": 0.97,
"target_value": -10.4275
} | 5 |
f490a28ecdd83f85cb7689547a0eb0f1 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [20, 38], "expectation_value": -0.026450423840212026, "params": [[0.0083, 0.0108, -0.025500000000000002, 0.044000000000000004], [-0.016300000000000002, -0.0269, 0.021400000000000002, -0.027800000000000002]], "bitstrings": ["101011", "011001"], "total_optimization_steps": 10, "probabilities": [0.0159724140223... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + -0.25 * Z(0) + -0.5 * Z(1) + -0.75 * Z(2) + 0.0 * Z(3) + -0.25 * Z(4) + -0.7... | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["011001"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(1.4559220094194139) q[1];
ry(-0.12411763596727048) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4736134322386227) q[3];
ry(-0.031683301563526195) q[4];
rz(-pi) q[4];
h q[5];
ry(-0.5472362963496462) q[5];
cx q[0], q[5];
ry(0.5472362963496462) q[5];
cx q[0], q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZZII",
"IZIZII",
"IZZIII",
"IZZZII",
"IIZIIZ",
"ZIIIIZ",
"ZIZIII",
"ZIZIIZ",
"IZIIZI",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.25,
-0.5,
-0.75,
0,
-0.25,
-0.75
] | 0.991196 | [
-1.582323973277357,
-1.3643355409729596,
1.4736134322386227,
1.4559220094194139,
-1.0944725926992924,
0.7522403135211317,
-0.3532284044695118,
0.4812526455354951,
-0.22809332507390656,
0.3572804273733394,
-0.1631535345356533,
-0.16468629970933335,
0.1857552217475515,
0.08779101460740774,
... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
081a3ef2a02910794db9cb14b9d27e2c | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 1}, {"source": 1, "target": 4}]} | {"states": [27869, 27995], "expectation_value": -6.070761220037268, "params": [[-0.3829], [0.4451]], "bitstrings": ["001001100100010", "001001010100100"], "total_optimization_steps": 230, "probabilities": [0.001065978093238895, 0.001065978093238895], "optimization_time": 20.30052423477173} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 5 | 15 | 1 | {"smallest_eigenvalues": [-8.749999999999972], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.749999999999957, "smallest_bitstrings": ["001001010100100"], "largest_eigenvalue": 26.250000000000114} | 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],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[15] c;
qubit[15] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIZIIIIIZ",
"IIIIIIIZIIIIIZI",
"IIIIIIIZZIIIIII",
"IIIIIIZIIIIIZII",
"IIIIIIZIZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 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 |
542cdbd85175981b12cba21c5251dcc2 | 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": 5}, {"source": 0, "target": 8}, {"source": 1, "target": 4}, {"source": 1, "target": 7}, {"source": 2, "target": 5}, {"sour... | {"states": [340, 342], "expectation_value": -4.338937489622536, "params": [[1.004, 0.0023, 0.9935, 0.2662, 0.9833000000000001, 0.0024000000000000002, 0.999, 1.0004, 0.0035], [1.0032, 0.0026000000000000003, 1.0010000000000001, 0.2308, 0.9919, 0.0009000000000000001, 0.38780000000000003, 0.37670000000000003, 0.002], [0.99... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(8)) + -0.5 * Z(5) + -0.5 * Z(0) + -1.5 * Z(8) + -1.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(7) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(6) | 10 | 9 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["000011011", "010011001", "010101001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.7277621881469201) q[0];
rz(1.4905903591623915) q[0];
rx(1.5456757943173884) q[1];
rz(1.8921874266333027) q[1];
rx(0.139889590321463) q[2];
rz(1.2644295675081123) q[2];
rx(1.4099300716477352) q[3];
rz(1.4279601385691247) q[3];
rx(1.7676202645571768) q[4];
rz(0.65696... | OPENQASM 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": []} | [
"IIIZIIIIZ",
"ZIIIIIIIZ",
"ZIIIZIIII",
"IIIIZIIZI",
"ZZIIIIIII",
"IZIIIIIZI",
"IIIZIIZII",
"IIIIZZIII",
"ZIZIIIIII",
"IIIZIIIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIZIIII",
"IIIIIIIZI",
"IZIIIIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIZIIIIII"
] | [
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,
-0.5,
-0.5,
0,
0,
0
] | 0.973309 | [
0.7277621881469201,
-0.08020596763250491,
1.5456757943173884,
0.32139109983840647,
0.139889590321463,
-0.3063667592867839,
1.4099300716477352,
-0.14283618822577182,
1.767620264557177,
-0.9138362904508384,
1.3150641317643585,
-0.09214114531080546,
1.218043212246353,
0.19706229899670097,
1... | {
"n_parameters": 51,
"n_qubits": 9,
"optimal_eigenvalue": -87.5,
"target_ratio": 0.97,
"target_value": -84.875
} | 11 |
a7fba5c7fdc2a0492603f740d30b0e3e | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": ... | {"states": [24, 30], "expectation_value": -4.999934073503016, "params": null, "bitstrings": ["100111", "100001"], "total_optimization_steps": 27, "probabilities": [1.383379202653001e-05, 0.9999481835511215], "optimization_time": 29.90472102165222} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 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(3)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + 0.0 * Z(4) + -1.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["100001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0038456229068963193) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.0038456229068963193) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0038456229068963193) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(0.0038456229068963193) q[0];
cx q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"IIZIIZ",
"IZIIIZ",
"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,
-2,
-0.5,
-0.5,
0,
-1.5
] | 0.970195 | [
0.0038456229068963193,
0.03152788476359816,
0.5843677711496659,
0.07011294895722706,
-0.10747817429227481,
-1.040178437004815,
1.0646619051284048,
-1.0354563116757038,
0.017329488661321276,
0.04182312572303404,
1.035489171615615,
0.18311382064276116,
-0.27304283047034755,
-1.02584056551815... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -2.6875,
"target_ratio": 0.97,
"target_value": -2.606875
} | 194 |
6e14ca9588bf45c615e1efe2adcd0df8 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 4, "target": 5},... | {"states": [1920, 2047], "expectation_value": -0.23540090030316535, "params": [[-0.0177], [0.0173]], "bitstrings": ["00001111111", "00000000000"], "total_optimization_steps": 10, "probabilities": [0.0005176659659835843, 0.0005181918073202398], "optimization_time": 40.872705936431885} | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(1) @ Z(3)) + 1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + -3.0 * (Z(7) @ Z(4)) + -2.5 * (Z(9) @ Z(5)) + -3.0 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(7)) + -3.5 * (Z(10) @ Z(5)) + -3.5 * (Z(10) @ Z(4)) + -2.5 * (Z(10) @ Z(7)) + ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-26.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.0, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 40.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(1.2730516733626573) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.19369742911248178) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.19369742911248178) q[2];
rx(0.9504352935710667) q[2];
rz(0.6421408087916739) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIIIIZIIZ",
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIZZIIII",
"IIIZIZIIIII",
"IIIZIIZIIII",
"IZIIIZIIIII",
"IZIIIIZIIII",
"IZIZIIIIIII",
"ZIIIIZIIIII",
"ZIIIIIZIIII",
"ZIIZIIIIIII",
"ZZIIIIIIIII",
"IIIZZIIIIII",
"ZIIIZIIIIII",
"IIZIIZIIIII",
"IIZIIIZII... | [
-1.5,
0.5,
-2,
0.5,
-1.5,
1.5,
0.5,
-3,
-2.5,
-3,
0.5,
-3.5,
-3.5,
-2.5,
1,
0.5,
0.5,
0.5,
1,
-2.5,
-3,
-2,
0.5,
0.5,
0.5,
0.5,
-2,
-2.5,
1,
1.5,
1.5,
0.5,
0.5
] | 0.587003 | [
1.2730516733626573,
0.19369742911248178,
0.6421408087916739,
0.26548483009409646,
0.6105186367214865,
0.6900629420657028,
0.5060107293538074,
0.2547174203777715,
0.9504352935710666
] | {
"n_parameters": 9,
"n_qubits": 11,
"optimal_eigenvalue": -26,
"target_ratio": 0.97,
"target_value": -25.22
} | 204 |
4831ab012b2dd3a86550af07c5dc6e17 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 2, "source": 1, "target": 6... | {"states": [8191, 8063], "expectation_value": -20.557981264207548, "params": [-0.0015, 0.0031000000000000003, 0.0078000000000000005, 0.0033, 0.3966, 0.39280000000000004, 0.40290000000000004, 0.4, 0.4015, 0.3946, 0.3997, 0.39490000000000003, 0.3894, 0.3914, 0.19390000000000002, 0.1875, 0.4066, 0.40140000000000003, 0.393... | -1.0 * (Z(7) @ Z(1)) + -1.0 * (Z(8) @ Z(1)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 ... | 14 | 15 | 3 | {"smallest_eigenvalues": [-23.499999999999833], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.499999999999783, "smallest_bitstrings": ["110000010000000"], "largest_eigenvalue": 52.49999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
rx(-0.20796838160434256) q[0];
rz(0.7828799437569725) q[0];
rx(0.134548632594205) q[1];
rz(0.2739814615874633) q[1];
cx q[1], q[0];
rz(-0.01614072487980384) q[0];
cx q[1], q[0];
rz(1.0651551623204405) q[0];
ry(0.033660691285731875) q[0];
rz(-0.3172007856064387) q[0];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIIIZI",
"IIIIIIZIIIIIIZI",
"IIIIIIZZIIIIIII",
"IIIIIIIIIIIIZZI",
"IIIIIIIZIIIIZII",
"IIIIIIZIIIIIZII",
"IIIIIIIIIIIZIZI",
"IIIIIIIZIIIZIII",
"IIIIIIZIIIIZIII",
"IIIIIIIIIIIZZII",
"IIIIIIIIIIZIIZI",
"IIIIIIIZIIZIIII",
"IIIIIIZIIIZIIII",
"IIIIIIIIIIZIZII",
"IIIIIIIIIIZZIII",
"... | [
-1,
-1,
1,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
1,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
1... | 0.972693 | [
-0.2079683816043426,
0.7667392188771684,
0.134548632594205,
0.2739814615874633,
0.5570540689180454,
-0.24201210412359003,
0.8558334827245723,
0.08754612967842154,
0.3448817416275478,
-0.15518388594361215,
0.8423806309219513,
0.08852232364254385,
0.9300608171577839,
0.9211924307353271,
0.... | {
"n_parameters": 115,
"n_qubits": 15,
"optimal_eigenvalue": -23.49999999999999,
"target_ratio": 0.97,
"target_value": -22.794999999999987
} | 27 |
f74dd1a27eee66b47da2da36ac12ded0 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"sour... | {"states": [38, 30], "expectation_value": -6.02501502896003, "params": [-0.0036000000000000003, -0.001, -0.0088, 0.0, -0.0009000000000000001, -0.0028, 1.0341, 0.6478, -0.2089, 0.0839, -0.0471, -0.2451, 0.5976, 0.5759000000000001, 0.5213, 0.5266000000000001, 0.0021000000000000003, 0.0031000000000000003, -0.0027, -0.0045... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * Z(1) ... | 14 | 9 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["111100001", "011100011", "100011101"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.07812304619158451) q[0];
rz(pi/2) q[0];
ry(-0.013125673150291683) q[1];
ry(0.22325112841994213) q[2];
ry(1.4008757451605591) q[3];
ry(-0.168243936035933) q[4];
ry(-0.08194223369014945) q[5];
ry(0.48830608556109606) q[6];
ry(0.3570168347073964) q[7];
ry(-0.119341669... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x11;
input float[64] x12;
input float[64] x13;
inpu... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IZIIIIIIZ",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIZIIIZI",
"ZIIZIIIII",
"IIZIIIIZI",
"ZIZIIIIII",
"IIIZIIZII",
"IIZIIIZII",
"IIIIZIZII",
"IIIZIZIII",
"IIIIZZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"IIIZIIIII",
"IIZIIIIII",
"IIIIIIZII",
"... | [
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,
-1,
-0.5,
-2,
-1.5,
-1,
-1,
-0.5,
-0.5
] | 0.970316 | [
0.07812304619158451,
-0.013125673150291683,
0.22325112841994213,
1.4008757451605591,
-0.168243936035933,
-0.08194223369014945,
0.48830608556109606,
0.3570168347073964,
-0.11934166924592138,
-0.7148481819865803,
0.02138857917873599,
-0.24587799122082615,
0.4242657787290157,
-1.3239120293268... | {
"n_parameters": 107,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 18 |
f22774a37228450f47b18c5ed29e1233 | 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": 8}, {"source": 1, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 7}, {"sour... | {"states": [376, 380], "expectation_value": -4.709501994642074, "params": [[[0.1753, 0.22390000000000002, 0.0018000000000000002, 0.0067], [0.15180000000000002, 0.0678, 1.097, -0.0046], [1.1006, -0.018000000000000002, 1.1053, 0.0332], [0.6532, -0.1685, 0.4384, 0.117], [-0.0441, -0.1212, 0.1839, 0.030000000000000002], [-... | 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(6) @ Z(8)) + -1.0 * Z(8) + 0.0 * Z(0) + 0.0 * Z(5) + -1.0 * Z(1) + -0.5 * Z(2) + 0.0 * Z(3) + -1.0 * Z(7) + 0.0 * Z(4) + 0.0 * Z(6) | 11 | 9 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["010000011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.10023080297198117) q[0];
rz(0.13653365796565242) q[0];
ry(0.09717068513548927) q[1];
rz(-0.09445162821484757) q[1];
cx q[1], q[0];
ry(0.24207607856244082) q[0];
rz(0.07056199393144581) q[0];
ry(1.510514409224856) q[1];
rz(0.0051305655620745155) q[1];
ry(1.33644458... | OPENQASM 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": []} | [
"ZIIIIIIIZ",
"IIIZIIIZI",
"IIIIIIZZI",
"IIIIIZIZI",
"ZZIIIIIII",
"IZIIIIZII",
"IZIIZIIII",
"ZIZIIIIII",
"ZIIIIIIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"IZIIIIIII",
"IIIIZIIII",
"IIZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
0,
-1,
-0.5,
0,
-1,
0,
0
] | 0.972387 | [
-0.10023080297198117,
0.13653365796565242,
0.09717068513548927,
-0.09445162821484757,
1.3364445844833734,
-0.03679112311317102,
0.8482342117057049,
-0.11170039730371309,
-0.16014085951027504,
-0.19734458633626448,
-0.5545774026798289,
-0.240353559234671,
1.408740738134096,
0.08753823537960... | {
"n_parameters": 64,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 43 |
edf882d81ff9cc6dd04b2b372b99a445 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [95, 127], "expectation_value": -7.991832960744636, "params": null, "bitstrings": ["10100000", "10000000"], "total_optimization_steps": 98, "probabilities": [0.11657775813715437, 0.5751793152187943], "optimization_time": 158.50682520866394} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + 1.25 * (Z(7) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(7)) + -1.5 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(7)) + -0.5 * (Z(4)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-11.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 13.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-1.294178110467672) q[0];
h q[1];
ry(0.1383616754257138) q[1];
h q[2];
ry(1.575815943169374) q[2];
h q[3];
h q[4];
ry(0.787907971584687) q[4];
cx q[2], q[4];
ry(-0.787907971584687) q[4];
cx q[2], q[4];
h q[5];
ry(0.8388306177923908) q[5];
cx q[3], q[5];
ry(-0... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[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",
"IZIIIIIZ",
"ZIIIIIIZ",
"IIZIIIZI",
"ZIZIIIII",
"IZIIIZII",
"ZIIIIZII",
"IZIIZIII",
"IIZIZIII",
"IIIIZZII",
"IIIZIIZI",
"IZIZIIII",
"ZIIZIIII",
"IIZZIIII",
"IIIZIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIIIZII",
"IIIIZIII",
"IIIZIII... | [
-0.25,
-0.75,
1.25,
-1,
-0.75,
-1.5,
-0.75,
-0.5,
-1.25,
-0.75,
-0.75,
-0.75,
-0.75,
-0.5,
-1.25,
0,
-0.25,
-1,
-1,
0.5,
1.75,
-1.5,
1.5
] | 0.970238 | [
1.575815943169374,
1.432087070104017,
1.6776612355847815,
0.2767233508514276,
1.12397130943726,
0.7756512232512143,
0.9641730776805216,
-2.588356220935344,
-0.040075839562897835,
0.12549881444488223,
-0.21414780392445198,
0.47502116310819115,
0.5052557870900131,
-0.12045094258741418,
-0.... | {
"n_parameters": 50,
"n_qubits": 8,
"optimal_eigenvalue": -11.25,
"target_ratio": 0.97,
"target_value": -10.9125
} | 221 |
a0d529ca36dd3a1366498490d13dd5e2 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": ... | {"states": [44, 14], "expectation_value": -3.496463938080505, "params": null, "bitstrings": ["010011", "110001"], "total_optimization_steps": 25, "probabilities": [0.06634813061618085, 0.9303663903799576], "optimization_time": 16.148403882980347} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["001110", "110001", "010011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.08588185594382781) q[0];
cx q[4], q[0];
rz(-0.7796390051316933) q[0];
rx(-0.16223409120890334) q[0];
cx q[4], q[1];
rz(0.08588185594382781) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(0.08588185594382781) q[2];
cx q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IZIIIZ",
"IZIIZI",
"IIIZZI",
"IIZIZI",
"ZZIIII",
"ZIIZII",
"ZIZIII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-1,
-0.5,
-0.5,
-1
] | 0.976001 | [
0.08588185594382781,
-0.8756859798659048,
-0.7796390051316935,
-0.4654146534934242,
-0.16223409120890334,
-0.17378727443252442,
2.489205451114607,
-1.1559017135907852,
1.5966900435185638
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 34 |
4441247380955851383 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 3], [0, 1], [2, 3, 4], [0, 5], [3, 7], [4, 5, 6, 7], [1, 2, 6], [3, 5], [1, 7]]} | {"states": [124, 109], "expectation_value": -2.577375957499723, "params": null, "bitstrings": ["10000011", "10010010"], "total_optimization_steps": 64, "probabilities": [0.09824958271296928, 0.7661777469990966], "optimization_time": 110.77895927429199} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.9166666666666683], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8333333333333335, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 5.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.11048798751140039) q[0];
h q[1];
ry(0.8466334219494767) q[1];
h q[2];
ry(1.1016871258297105) q[2];
h q[3];
ry(-0.2290293337240337) q[3];
ry(-2.767974325567143) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[0];
ry(0.11048798751140039) q[0];
cx q[5], q[0];
ry(-0.54... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.2292) 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[... | [
"IIIIZIZI",
"IIIIIIZZ",
"IIIIZZII",
"IIIIIZZI",
"IIIZZIII",
"IIIZIZII",
"IIZIZIII",
"IIZIIIIZ",
"IIZZIIII",
"ZIIIZIII",
"ZIIIIIZI",
"ZIIZIIII",
"ZIZIIIII",
"IZIIIIZI",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZZIIIIII",
"IIIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIII... | [
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.08333333333333333,
0.5,
0.5,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
... | 0.970471 | [
1.1016871258297105,
-0.22097597502280078,
1.506164288930172,
-0.4580586674480674,
1.6932668438989533,
-1.099270901422523,
-0.7880906338329791,
0.10339477437522698,
0.7554589176694048,
-0.6241038373365712,
0.7723030959861512,
0.21023144464567506,
-0.7214662165056813,
0.8834381622056836,
0... | {
"n_parameters": 50,
"n_qubits": 8,
"optimal_eigenvalue": -2.9166666666666683,
"target_ratio": 0.97,
"target_value": -2.8291666666666684
} | 29 |
-8634747951560216277 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2], "hyperedges": [[0, 2], [1, 2]]} | {"states": [1, 6], "expectation_value": -0.8584632227034504, "params": null, "bitstrings": ["110", "001"], "total_optimization_steps": 11, "probabilities": [0.07556414489901593, 0.8229185809877103], "optimization_time": 3.8821561336517334} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 3 | 1 | {"smallest_eigenvalues": [-1.0, -1.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": 0.0, "smallest_bitstrings": ["110", "001"], "largest_eigenvalue": 1.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
h q[2];
ry(-0.440417733660341) q[2];
cx q[1], q[2];
ry(0.440417733660341) q[2];
cx q[1], q[2];
ry(-0.2664008506021484) q[2];
cx q[0], q[2];
ry(0.2664008506021484) q[2];
cx q[0], q[2];
ry(1.5179207901296758) q[1];
ry(0.7238748902976988) q[0];
cx q[1], q[0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\ncry(-1.0342) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\ncry(-1.0342) q[1], q[2]... | [
"ZIZ",
"ZZI",
"ZII",
"IIZ",
"IZI"
] | [
0.5,
0.5,
0,
0,
0
] | 0.985379 | [
-0.880835467320682,
1.5179207901296758,
-0.5328017012042968,
1.4477497805953976,
0.11302536243828123,
-0.8265195291243941,
0.21007196722240157,
-1.314017585394491,
-0.6355515021536713
] | {
"n_parameters": 9,
"n_qubits": 3,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 10 |
3701509796354162709 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[1, 11], [0, 3], [4, 6], [2, 11], [9, 12], [0, 11], [11, 4], [3, 4], [10, 2], [0, 9], [3, 12], [3, 5], [8, 6], [8, 7]]} | {"states": [2670, 622], "expectation_value": -0.7041709944370041, "params": [0.6467, 0.6472, 0.6917, 0.6930000000000001, 0.6316, 0.6353, 0.9552, 0.9540000000000001, 0.6197, 0.6243000000000001, 0.6103000000000001, 0.6076, 0.9642000000000001, 0.9673, 0.9809, 0.9800000000000001, 0.5867, 0.5875, 0.9386, 0.9446, 0.963800000... | 0.5 * (Z(1) @ Z(11)) + 0.5 * (Z(0) @ Z(11)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(11)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(11)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(12) @ Z(3)) + 0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(10) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 0.0 *... | 13 | 13 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["1110110010001", "0001001101110"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.626909671973252) q[0];
rz(-0.2054237302277708) q[0];
ry(0.690094266794417) q[1];
ry(0.13805172189406187) q[2];
ry(1.5261602728246872) q[3];
ry(0.07868933915063085) q[4];
ry(-0.3444414906025093) q[5];
ry(1.7603467996684166) q[6];
ry(0.4278985931553283) q[7];
ry(0.3... | 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[... | null | {"circuits": [], "gradients": []} | [
"IZIIIIIIIIIZI",
"IZIIIIIIIIIIZ",
"IIIIIIIIIZIIZ",
"IZIIIIIIZIIII",
"IIIIIIIIZZIII",
"IIIIIIZIZIIII",
"IZIIIIIIIIZII",
"IIIZIIIIIIIIZ",
"ZIIIIIIIIZIII",
"ZIIZIIIIIIIII",
"IIZIIIIIIIZII",
"IIIIIIIZIZIII",
"IIIIZIZIIIIII",
"IIIIZZIIIIIII",
"IZIIIIIIIIIII",
"IIIIIIIIIIIZI",
"IIIIIIIIIII... | [
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,
0,
0,
0
] | 0.971927 | [
0.626909671973252,
0.690094266794417,
0.13805172189406187,
1.5261602728246872,
0.07868933915063085,
-0.3444414906025093,
1.7603467996684166,
0.4278985931553283,
0.3041191580604877,
1.2599670118583361,
1.9286488815798672,
1.3997005779623635,
0.42458129708024417,
-0.4108474604555416,
0.228... | {
"n_parameters": 51,
"n_qubits": 13,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 62 |
94ae9b5255899c7020c27bb014e7a10e | 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": [741, 709], "expectation_value": -84.7733663648648, "params": [0.7236, 0.0089, 2.4973, 0.0024000000000000002, 1.2825, 0.0014, 2.5002, 0.0002, 2.5073000000000003, 0.001, 1.4948000000000001, 0.0026000000000000003, 0.0015, 0.0011, -0.0027, 0.0089, 2.4977, 0.0028, 0.0021000000000000003, 0.0098, 2.5051, 0.0082, 0... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(3) @ Z(1)) + 8.0 * (Z(2) @ Z(3)) + 8.0 * (Z(4) @ Z(2)) + 8.0 * (Z(5) @ Z(1)) + 8.0 * (Z(5) @ Z(3)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(8) @ Z(0)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(6) @ Z(10)) + 8.0 * (Z(9) @ Z(10)) + 0.5 * Z(0) + 15.0 * Z(1) + 18.0 * Z(3) + 5.0 * Z(2) + 8.5 * Z(4) + 10.0 * Z(... | 18 | 11 | 1 | {"smallest_eigenvalues": [-125.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -103.5, "smallest_bitstrings": ["10100111010"], "largest_eigenvalue": 146.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.10099136189690178) q[0];
rz(0.07335359317300627) q[0];
rx(3.0282179828264324) q[1];
rz(0.5858125297456115) q[1];
rx(0.3857791464213856) q[2];
rz(0.5011207110279181) q[2];
rx(2.874509285441383) q[3];
rz(-0.07429795508099651) q[3];
rx(3.0842783043964133) 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": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIZIIIZI",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIZIIIIIIIZ",
"IIZZIIIIIII",
"ZIIIZIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIZIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
0.5,
15,
18,
5,
8.5,
10,
6,
-7.5,
5.5,
-3,
-5.5
] | 0.971641 | [
0.1009913618969018,
0.00029992962695205017,
3.0282179828264324,
0.5858125297456115,
0.3857791464213856,
0.5011207110279181,
2.874509285441383,
-0.07429795508099651,
3.0842783043964133,
0.20792621776185335,
0.2655971871129661,
-0.13632500007276938,
0.08288667921108347,
0.4724948674239383,
... | {
"n_parameters": 29,
"n_qubits": 11,
"optimal_eigenvalue": -125.5,
"target_ratio": 0.97,
"target_value": -121.735
} | 15 |
eef64d2a5dbf018785bb2eafc31c3245 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 6, "source": 3, ... | {"states": [142, 15], "expectation_value": -12.540726501436982, "params": null, "bitstrings": ["01110001", "11110000"], "total_optimization_steps": 59, "probabilities": [0.15680630545508087, 0.7790726482613731], "optimization_time": 72.11939239501953} | -1.25 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + 2.5 * (Z(7) @ Z(0)) + -1.5 * (Z(2) @ Z(3)) + -0.75 * (Z(4) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(4)) + -0.75 * (Z(6) @ Z(7)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(3) + 1.0 * Z(7) + -2.25 * Z(2) + -0.5 * Z(4) + 2.0 * Z(5) + 0.75 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-14.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["11110000"], "largest_eigenvalue": 14.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.10702764500306078) q[0];
rz(1.8460079357091796) q[0];
rx(-0.09900207468748345) q[1];
rz(1.810072638291011) q[1];
rx(-0.10295100411381941) q[2];
rz(1.8216471371099985) q[2];
rx(-0.08088515754317219) q[3];
rz(1.6163125792682465) q[3];
rx(0.3932787664762013) q[4];
rz... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIZIIZ",
"ZIIIIIIZ",
"IIIIZZII",
"ZIIZIIII",
"IIZIIZII",
"IIZZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-1.25,
-1,
2.5,
-1.5,
-0.75,
-0.75,
-1.25,
-0.75,
-1.25,
-0.25,
0.5,
1,
-2.25,
-0.5,
2,
0.75
] | 0.980626 | [
-0.10702764500306078,
0.27521160891428315,
-0.09900207468748345,
0.2392763114961134,
-0.10295100411381941,
0.2508508103151006,
-0.08088515754317219,
0.04551625247334859,
0.39327876647620125,
0.06958748977032685,
0.7492571955383739,
-0.2769461864098085,
0.47868772864866804,
-0.1464960204355... | {
"n_parameters": 88,
"n_qubits": 8,
"optimal_eigenvalue": -14.75,
"target_ratio": 0.97,
"target_value": -14.3075
} | 16 |
aa017fe03799a772a3aff0770f4d70b4 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 1, "source": 3, "target": 6}, {"capacity": 2, "source": 5, "target": 1}, {"capacity": 2, "source": 5, "target": 2... | {"states": [1, 9], "expectation_value": -2.7538598154628326, "params": [[[0.0017000000000000001, 0.4309], [0.0025, 0.5555], [0.0023, 0.6021000000000001], [0.7866000000000001, -0.0017000000000000001], [0.0022, 0.5928], [0.0028, 0.5821000000000001], [0.7943, 0.0018000000000000002]], [[0.0012000000000000001, 0.0094], [0.0... | -1.0 * (Z(0) @ Z(5)) + -1.0 * (Z(6) @ Z(5)) + 1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z(5)) + 1.5 * Z(5) + -0.25 * Z(0) + 0.0 * Z(6) + 0.25 * Z(3) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000100", "1000000", "1010100", "1010000", "1100100", "1100000", "1110110", "1110100", "1110000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.7202482055888763) q[0];
h q[1];
h q[2];
h q[3];
ry(0.6763684963105008) q[3];
h q[4];
h q[5];
ry(1.544949320168152) q[5];
h q[6];
ry(0.7842758172411688) q[6];
cx q[5], q[6];
ry(-0.7842758172411688) q[6];
cx q[5], q[6];
cx q[6], q[0];
ry(0.7202482055888763) ... | OPENQASM 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": []} | [
"IZIIIIZ",
"ZZIIIII",
"ZIIIIIZ",
"ZIIZIII",
"IZIIIZI",
"IZIIZII",
"IZZIIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
-1,
-1,
1.25,
-0.25,
-0.5,
-0.5,
-0.5,
1.5,
-0.25,
0,
0.25,
-0.5,
-0.5,
-0.5
] | 0.997887 | [
1.544949320168152,
1.5685516344823376,
-1.4404964111777525,
1.3527369926210016,
-0.21987719305568587,
0.09712159271413541,
0.06523432631452608,
-0.047813366282852085
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
c11cd43c1b3d47ef5d545f6dc676afc9 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [145, 153], "expectation_value": -4.451223715989703, "params": [0.30110000000000003, -0.0002, 0.3085, -0.0004, -0.0111, 0.1711, -0.0143, 0.1701, -0.008400000000000001, 0.15410000000000001, -0.0028, 0.159, 0.3017, 0.0737, 0.3064, 0.007, 0.30360000000000004, 0.0002, 0.3, 0.0029000000000000002, 0.0868, 0.1358, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + -2.0 * Z(1) + 0.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(4) + -... | 7 | 8 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["01100011", "01110100", "01100110"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.4463355484458688) q[0];
rz(-0.021675068088018) q[0];
rx(-0.08680044423049244) q[1];
rz(-0.1377473521070984) q[1];
cx q[1], q[0];
rz(0.03013545882473454) q[0];
cx q[1], q[0];
rz(1.714388681745449) q[0];
ry(1.307552605370475) q[0];
rz(-1.3688977646753206) q[0];
rx(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIZIIZI",
"IIZIIIZI",
"ZIIIIIZI",
"ZIZIIIII",
"IIIIZZII",
"IIIZIZII",
"ZIIIIZII",
"IZIIZIII",
"IZZIIIII",
"IZIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZII",
"IZIIIIII"
] | [
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,
-1,
-0.5,
-1,
-1,
-1.5,
-1
] | 0.97239 | [
0.4463355484458688,
0.008460390736716616,
-0.08680044423049244,
-0.1377473521070984,
0.006149762995697236,
-0.13014177506658756,
0.5331080088989905,
0.16249573646620832,
0.5379037099192682,
0.20791866529853995,
0.029592935697558276,
0.00012620466707524702,
0.11784568029912942,
0.1742936516... | {
"n_parameters": 111,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 9 |
5623093536796954833 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[8, 2, 4, 7], [2, 3, 8, 9, 12], [1, 5, 7, 8, 9, 10, 11], [1, 2, 4, 9, 10, 11], [0, 1, 5, 7], [1, 3, 5, 7], [3, 10, 11, 12], [1, 2, 4, 8, 9, 10], [1, 2, 9, 10, 12], [1, 4, 5, 8, 10, 11, 12], [1, 6], [9, 5, 6, 7], [1, 2, 4, 5, 7, 10, 12], [0, 2, 3, 4, 8... | {"states": [7563, 7579], "expectation_value": -6.5599587522642615, "params": [1.5701, 1.5651000000000002, 1.5713000000000001, 1.5739, 1.5765, 1.5704, 0.17300000000000001, 0.1773, 1.6087, 1.5391000000000001, 1.5732000000000002, 1.5719, -0.0047, -0.0048000000000000004, 0.1975, 0.196, 0.8816, 0.8809, 1.5747, 1.57350000000... | 0.25 * (Z(8) @ Z(2)) + 0.29047619047619044 * (Z(4) @ Z(2)) + 0.2238095238095238 * (Z(4) @ Z(8)) + 0.24047619047619045 * (Z(7) @ Z(2)) + 0.2238095238095238 * (Z(7) @ Z(8)) + 0.15714285714285714 * (Z(7) @ Z(4)) + 0.21666666666666667 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(8)) + 0.14047619047619048 * (Z(3) @ Z(4)) + 0.19999999... | 13 | 13 | 1 | {"smallest_eigenvalues": [-6.897619047619047], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.654761904761904, "smallest_bitstrings": ["0001001100100"], "largest_eigenvalue": 29.500000000000007} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(1.586839825004275) q[0];
rz(-0.020044531879961178) q[0];
ry(1.557494947441218) q[1];
ry(1.474599066957891) q[2];
ry(0.09039786667740274) q[3];
ry(1.6773740883423747) q[4];
ry(1.5621215930927501) q[5];
ry(-0.12298733381902549) q[6];
ry(0.0763351853983992) q[7];
ry(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIZII",
"IIIIIIIIZIZII",
"IIIIZIIIZIIII",
"IIIIIZIIIIZII",
"IIIIZZIIIIIII",
"IIIIIZIIZIIII",
"IIIIIIIIIZZII",
"IIIIZIIIIZIII",
"IIIIIIIIZZIII",
"IIIIIZIIIZIII",
"IIIZIIIIIIZII",
"IIIZZIIIIIIII",
"IIIZIIIIZIIII",
"IIIZIZIIIIIII",
"IIIZIIIIIZIII",
"ZIIIIIIIIIZII",
"ZIIIZIIIIII... | [
0.25,
0.29047619047619044,
0.2238095238095238,
0.24047619047619045,
0.2238095238095238,
0.15714285714285714,
0.21666666666666667,
0.25,
0.14047619047619048,
0.19999999999999998,
0.3,
0.19047619047619047,
0.14047619047619048,
0.2738095238095238,
0.15714285714285714,
0.2238095238095238,
... | 0.972029 | [
1.586839825004275,
1.557494947441218,
1.474599066957891,
0.09039786667740274,
1.6773740883423747,
1.5621215930927501,
-0.12298733381902549,
0.0763351853983992,
1.168895257543441,
1.5701567916924202,
0.10811632185303886,
1.4078229546370338,
1.5500756245753204,
-0.040089063759922355,
-0.19... | {
"n_parameters": 50,
"n_qubits": 13,
"optimal_eigenvalue": -6.897619047619047,
"target_ratio": 0.97,
"target_value": -6.6906904761904755
} | 5 |
a710d93d80e8c82fd280d9647185393d | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 3}, {"sour... | {"states": [272, 274], "expectation_value": -5.925757559776423, "params": [[0.399, 0.314, 0.1922, -0.006200000000000001, 0.40180000000000005, 0.12430000000000001, 0.00030000000000000003, 0.3965, -0.0012000000000000001], [0.40690000000000004, 0.2637, 0.2223, -0.0005, 0.40090000000000003, 0.1131, 0.00030000000000000003, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(2) ... | 10 | 9 | 3 | {"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": ["101111100", "100111110", "110101011", "011100111", "010101111", "011101101"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.7179216901649628) q[0];
ry(0.4130904116889078) q[1];
ry(-0.03702584240104863) q[2];
ry(0.4239851514681334) q[3];
ry(0.5590674253727796) q[4];
ry(0.07087585216642371) q[5];
ry(0.0919032695555013) q[6];
ry(0.7192136917981221) q[7];
ry(-0.062307927940138175) q[8];
cz ... | OPENQASM 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",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"ZIZIIIIII",
"IIIIZIIZI",
"IIIIZZIII",
"ZIIIZIIII",
"IIZZIIIII",
"ZIIZIIIII",
"IIIZIIZII",
"IZZIIIIII",
"IZIZIIIII",
"IZIIIIZII",
"IIIIIIIZI",
"IIIIIIIIZ",
"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,
-1.5,
-1.5,
-2,
-2.5,
-2,
-1,
-1.5,
-0.5,
-1
] | 0.977779 | [
0.7179216901649628,
0.4130904116889078,
-0.03702584240104863,
0.4239851514681334,
0.5590674253727796,
0.07087585216642371,
0.0919032695555013,
0.7192136917981221,
-0.062307927940138175,
0.7468368521168302,
-0.44938772980979624,
-0.08756801840684825,
-0.3195331123857626,
0.8495039790204493,... | {
"n_parameters": 32,
"n_qubits": 9,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 13 |
d5ba60497bf54de061e291b1c3ba948c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [1877, 1909], "expectation_value": -3.09052825391477, "params": [[[0.005200000000000001, -0.37560000000000004, 0.007500000000000001, 0.0059], [0.5741, -0.0068000000000000005, 0.5710000000000001, 0.0061], [-0.22310000000000002, 0.0001, 0.0047, -0.0024000000000000002], [0.6389, -0.0019, 0.642, 0.00650000000000... | 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)) + 0.125 * (Z... | 12 | 12 | 4 | {"smallest_eigenvalues": [-3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375], "number_of_smallest_eigenvalues": 22, "first_excited_energy": -2.9375, "smallest_bitstrings": [... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.18918426610075506) q[0];
rz(0.2919537192208965) q[0];
rx(0.4810650186364632) q[1];
rz(-0.019737535732542) q[1];
rx(0.1581470822463457) q[2];
rz(0.18507238845676) q[2];
rx(0.19651381894384531) q[3];
rz(0.017897352292445046) q[3];
rx(-0.14240065279774547) 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] 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",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIIZZZI",
"IIIIIIIIZZZZ",
"IIIIIZZIIIII",
"IIIIZIZIIIII",
"IIIZIIZIIIII",
"IIIIZZIIIIII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIZZZII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,... | 0.975333 | [
0.189184266100755,
0.2553099534249179,
0.48106501863646317,
0.08095348011942079,
0.15814708224634566,
0.07805784566311892,
0.1965138189438453,
0.0715330194042118,
-0.1424006527977455,
0.021067744483425476,
0.19124261920954627,
0.16672162864071166,
0.49114334463222076,
-0.1410362624806891,
... | {
"n_parameters": 129,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 10 |
cf37919d6a949ddf46d1ba52baad11a7 | 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": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, ... | {"states": [4846, 5870], "expectation_value": -3.8588800904063336, "params": [1.4953, -0.31570000000000004, 0.37310000000000004, -0.6175, 0.8778, -0.43910000000000005, 1.495, 0.002, -0.002, -1.0159, 1.5044000000000002, 0.002, 1.5017, 0.0028, 1.4947000000000001, 0.0579, 0.5249, 0.5233, 1.5008000000000001, -0.00720000000... | 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)) + 0.0625 * (... | 18 | 13 | 2 | {"smallest_eigenvalues": [-4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375], "number_of_smallest_eigenvalues": 19, "first_excited_energy": -3.4375, "smallest_bitstrings": ["1000100001010", "001010001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(0.9710988307186401) q[0];
rz(-0.02891617297319593) q[0];
rx(0.01057020565881352) q[1];
rz(0.4201067776955153) q[1];
rx(0.17533459356932862) q[2];
rz(-0.2611102377168925) q[2];
rx(0.815311740040549) q[3];
rz(0.3185927358966159) q[3];
rx(0.02598770948038412) 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": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZIZ",
"IIIIIIIIIZIIZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIZIZI",
"IIIIIIIIIZZII",
"IIIIIIIIIIZZZ",
"IIIIIIIIIZIZZ",
"IIIIIIIIIZZIZ",
"IIIIIIIIIZZZI",
"IIIIIIIIIZZZZ",
"IIIIIIIIZIIIZ",
"IIIIIIIZIIIIZ",
"IIIIIIZIIIIIZ",
"IIIIIZIIIIIIZ",
"IIIIIIIZZIIII",
"IIIIIIZIZII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
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... | 0.971532 | [
0.97109883071864,
0.1852350393243934,
0.01057020565881352,
0.4201067776955153,
0.17533459356932862,
-0.2611102377168925,
0.815311740040549,
0.3185927358966159,
0.02598770948038412,
0.4488470663552064,
0.8538907870390587,
-0.06192037117045744,
0.6391143778249074,
0.6360541241011217,
0.103... | {
"n_parameters": 144,
"n_qubits": 13,
"optimal_eigenvalue": -4.4375,
"target_ratio": 0.97,
"target_value": -4.304375
} | 17 |
1d579e37a468bd880bcb1092848cc668 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 3}, {"capacity": 4, "source": 4, "target": 1... | {"states": [20479, 4095], "expectation_value": -44.462961872292446, "params": [0.36010000000000003, 0.1366, 0.3614, -0.1202, 0.0041, 0.40040000000000003, 0.0027, 0.4108, 0.5979, -0.0, 0.5958, 0.008400000000000001, 0.599, 0.0004, 0.6024, -0.0012000000000000001, 0.5935, -0.0007, 0.5924, -0.0014, 0.6019, 0.0028, 0.6015, -... | 0.5 * (Z(0) @ Z(7)) + 2.0 * (Z(8) @ Z(7)) + 1.0 * (Z(8) @ Z(0)) + 1.0 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(0)) + 2.0 * (Z(9) @ Z(8)) + 0.5 * (Z(1) @ Z(7)) + 0.25 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(8)) + 0.5 * (Z(1) @ Z(9)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(8)) + -0.5 * (Z(2) @ Z(9)) + -0.5 * ... | 16 | 16 | 4 | {"smallest_eigenvalues": [-54.24999999999939], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.249999999998515, "smallest_bitstrings": ["1111000000000000"], "largest_eigenvalue": 125.75000000000011} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6941259116557518) q[0];
h q[1];
h q[2];
h q[3];
ry(-0.7530958440334765) q[3];
h q[4];
ry(1.6275648338062378) q[4];
cx q[4], q[3];
ry(0.7530958440334765) q[3];
cx q[4], q[3];
h q[5];
h q[6];
cx q[6], q[0];
ry(0.6941259116557518) q[0];
cx q[6], q[0];
ry(-0.3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIIIIIIZ",
"IIIIIIIZZIIIIIII",
"IIIIIIIZIIIIIIIZ",
"IIIIIIZIZIIIIIII",
"IIIIIIZIIIIIIIIZ",
"IIIIIIZZIIIIIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIZIIIIIIZI",
"IIIIIIZIIIIIIIZI",
"IIIIIIIIZIIIIZII",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIZIIIIIZII",
"IIIIIIZIIIIIIZII",
"IIIIIII... | [
0.5,
2,
1,
1,
0.5,
2,
0.5,
0.25,
1,
0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
0.5,
0.5,
1,
0.5,
-0.5,
-1,
2,
-0.5,
1,
2,
1,
2,
1,
2,
-1,
-2,
-1,
0.5,
1,
0.5,
1,
-0.5,
-1,
-0.5,
2,
0.5,
1,
0.5,
1,
2,
... | 0.975008 | [
1.6275648338062378,
-1.506191688066953,
-1.3882518233115035,
1.0437940616691472,
-0.6850023722970648,
0.430917419283484,
-0.20458261231373315,
0.03557786349020009,
-0.11303820837731039,
0.224256866592883,
-0.03744596523400791,
-0.08823505966052633,
0.07360138473543015
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 1 |
ced6c703f6fc42ad993c62457521a8a6 | 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": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 0, ... | {"states": [9, 1], "expectation_value": -0.6965750416264517, "params": [[0.055, 0.027800000000000002, -0.0161, 0.0334], [-0.0687, -0.0438, -0.0125, -0.031400000000000004]], "bitstrings": ["11110110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.006670178982154695, 0.007136573462873509], "optimizatio... | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(4) @ Z(5)) + 2.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.25 * Z(... | 1 | 8 | 4 | {"smallest_eigenvalues": [-9.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.75, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.019257244790662688) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.7877168041877103) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.019257244790662688) q[2];
cx q[0], q[2];
rz(0.4711390611845201) q[2];
rx(1.6286054759878306) q[2];
h 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": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IZIIIIIZ",
"IIIIZIZI",
"IIZIZIII",
"IZIIZIII",
"IIZZIIII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII"
] | [
-0.5,
-0.75,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
2,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
0,
0,
-0.25,
1.75
] | 0.915875 | [
0.019257244790662688,
0.7877168041877103,
0.4711390611845201,
-0.07346987499868925,
0.8629803409167578,
-0.5184398952558648,
1.6286054759878306,
0.06686996022923065,
1.0861776397855343,
0.7850543096022358,
-0.14646282643499497,
-1.831074504387705,
1.075806303014285
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -9.75,
"target_ratio": 0.97,
"target_value": -9.4575
} | 298 |
7e044d1f5497090d3f59b320abe95c67 | 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": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target":... | {"states": [1024, 1023], "expectation_value": -30.78972577472807, "params": [[[0.004200000000000001, -0.0048000000000000004], [-0.002, 0.002], [-0.0027, -0.0028], [0.024900000000000002, 0.0022], [0.0058000000000000005, 0.0022], [0.009600000000000001, 0.0022], [0.00030000000000000003, 0.0025], [0.0018000000000000002, -0... | -1.75 * (Z(0) @ Z(6)) + -1.0 * (Z(1) @ Z(5)) + -1.25 * (Z(7) @ Z(1)) + -1.75 * (Z(9) @ Z(6)) + -2.25 * (Z(9) @ Z(1)) + -2.5 * (Z(9) @ Z(7)) + -1.5 * (Z(2) @ Z(6)) + 2.0 * (Z(2) @ Z(0)) + -1.5 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(7)) + -0.75 * (Z(3) @ Z(6)) + -0.25 * (Z(3) @ Z(7)) + -0.75 * (Z(3) @ Z(9)) + -0.75 * (Z(8) @... | 15 | 11 | 2 | {"smallest_eigenvalues": [-31.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -30.5, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 30.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.007111398113398018) q[0];
ry(-0.03814982853753169) q[1];
ry(-0.07966978133047561) q[2];
ry(0.13514937188784107) q[3];
ry(0.17645685579765785) q[4];
ry(0.21399140250243706) q[5];
ry(0.03674808371486794) q[6];
ry(-0.0023921457194614453) q[7];
ry(-0.0691017407662300... | OPENQASM 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": []} | [
"IIIIZIIIIIZ",
"IIIIIZIIIZI",
"IIIZIIIIIZI",
"IZIIZIIIIII",
"IZIIIIIIIZI",
"IZIZIIIIIII",
"IIIIZIIIZII",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIZIIIIZII",
"IIIIZIIZIII",
"IIIZIIIZIII",
"IZIIIIIZIII",
"IIZIZIIIIII",
"IIZIIZIIIII",
"IZZIIIIIIII",
"IIZIIIIZIII",
"ZIIIZIIIIII",
"ZIIIIZIII... | [
-1.75,
-1,
-1.25,
-1.75,
-2.25,
-2.5,
-1.5,
2,
-1.5,
-1,
-0.75,
-0.25,
-0.75,
-0.75,
-1.5,
-1.25,
-1.25,
-3,
-1.5,
-1.75,
-0.75,
-0.25,
-2.25,
-1,
-1,
-1.25,
-0.25,
-1,
2,
-3.25,
0.5,
-2.75,
2.75,
-0.25,
3.75,
-0.25
] | 0.970359 | [
-0.007111398113398018,
-0.03814982853753169,
-0.07966978133047561,
0.13514937188784107,
0.17645685579765785,
0.21399140250243706,
0.03674808371486794,
-0.0023921457194614453,
-0.06910174076623002,
-0.33742600718906746,
1.7642102749336233,
0.02210240489920725,
-0.04039872772699339,
-0.04734... | {
"n_parameters": 35,
"n_qubits": 11,
"optimal_eigenvalue": -31.5,
"target_ratio": 0.97,
"target_value": -30.555
} | 22 |
f65df388240a6bafb6d8e4e3b37bcf6e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [56, 44], "expectation_value": -3.989065530699692, "params": null, "bitstrings": ["1000111", "1010011"], "total_optimization_steps": 31, "probabilities": [0.060236547583049714, 0.8645374070419694], "optimization_time": 32.592854738235474} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -0.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(4) + -0.5 * Z(2) + -1.5 * Z(6) + -0.5 * Z(3) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1000111", "1010011", "0100111", "0110011"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(2.7532081731376037) q[0];
rz(0.5021335439547281) q[0];
rx(0.3126188629060858) q[1];
rz(-0.12394458583901447) q[1];
rx(0.08258886198853632) q[2];
rz(-0.2893009783452398) q[2];
rx(2.8985650222769554) q[3];
rz(0.47722660210837153) q[3];
rx(-2.8865335383741417) 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[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",
"IZIIIZI",
"IZIIIIZ",
"IIZIZII",
"ZZIIIII",
"ZIZIIII",
"ZIIIZII",
"IZIZIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIZIIII",
"IIIIZII",
"ZIIIIII",
"IIIZIII"
] | [
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,
-0.5,
-1.5,
-0.5
] | 0.974902 | [
2.7532081731376037,
0.4768043004801116,
0.31261886290608576,
-0.13830675618383226,
0.08258886198853632,
-0.4806829037066563,
2.8985650222769554,
0.5468943038080125,
3.3966517688054445,
0.42667847019125166,
0.07043632060439067,
-0.7888121402538777,
0.07867698366803132,
0.8529985987454796,
... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 16 |
55057e8d3155877e0616b2acd23154a9 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [346, 410], "expectation_value": -83.45980998420013, "params": [-0.0074, 0.4408, 0.7995, 0.1904, 0.8001, 0.053200000000000004, 0.7592, -0.2074, -0.0018000000000000002, 0.8671000000000001, 0.789, 0.006500000000000001, 0.8431000000000001, -0.0046, -0.0078000000000000005, 0.3256, 0.9401, 0.19060000000000002, 0.... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(5) @ Z(0)) + 7.0 * (Z(5) @ Z(7)) + 7.0 * (Z(6) @ Z(3)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(9) @ Z(8)) + 0.5 * Z(0) + 5.5 * Z(1) + 0.0 * Z(2) + 2.0 * Z(3) + 7.5 * Z(7) + 16.0 * Z(5) + 17.0 * Z(6) + -1.0 * Z(8) + -2.0 * Z(9) + -... | 16 | 10 | 4 | {"smallest_eigenvalues": [-88.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.0, "smallest_bitstrings": ["1001100101"], "largest_eigenvalue": 124.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.09347261810090203) q[0];
rz(0.6298581855773668) q[0];
rx(0.5976237025414725) q[1];
rz(0.28283056134653956) q[1];
cx q[1], q[0];
rz(-0.18785124705497558) q[0];
cx q[1], q[0];
rx(0.039818264784227876) q[0];
rz(0.4075771158147026) q[0];
rz(0.12123890075426529) q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIZIIIIIZI",
"IIIIZIIIIZ",
"IIZIZIIIII",
"IIIZIIZIII",
"IIZZIIIIII",
"IIIZZIIIII",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIIIZIII",
"IIZIIIIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII",
"IIIIIZIIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
0.5,
5.5,
0,
2,
7.5,
16,
17,
-1,
-2,
-9.5
] | 0.970522 | [
0.09347261810090202,
0.4420069385223911,
0.5976237025414725,
0.28283056134653956,
1.0650377438439005,
-0.1791964138703868,
0.33276517995697175,
0.007640353405214821,
0.029137456558811198,
0.9239464485097888,
0.8276014712206322,
-0.08073874331733724,
0.9699097166403974,
-0.02213402852977299... | {
"n_parameters": 111,
"n_qubits": 10,
"optimal_eigenvalue": -88,
"target_ratio": 0.97,
"target_value": -85.36
} | 16 |
74d5ddcff247f576d2434a3de6e40143 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [19, 342], "expectation_value": -20.99948827895554, "params": [[-0.0023, -0.0023, 1.1792, 1.5685, 0.0023, -0.0046, 0.7957000000000001, 0.0023, 0.0026000000000000003], [0.0023, 0.3962, 0.0023, -0.0085, 1.5754000000000001, 0.0034000000000000002, -0.0023, 0.7876000000000001, 1.5682], [0.0029000000000000002, 0.0... | 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(6) @ Z(8)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(7) @ Z(3)) + 7.0 * (Z(7) @ Z(8)) + 7.0 * (Z(7) @ Z(6)) + 3.5 * Z(1) + 14.5 * Z(2) + 7.0 * Z(0) + 16.0 * Z(4) + 2.0 * Z(3) + -2.0 * Z(5)... | 9 | 9 | 4 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["010101001"], "largest_eigenvalue": 155.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(2.8308305047383997) q[0];
rz(0.16725527467574075) q[0];
rx(0.16687457567686384) q[1];
rz(0.48649165910590353) q[1];
rx(2.98111425875076) q[2];
rz(0.48649165910590353) q[2];
rx(0.09256822437060895) q[3];
rz(-0.046951461801842176) q[3];
rx(3.091388296633985) 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": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZZIII",
"IIIZZIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"IZIIZIIII",
"IZIIIZIII",
"ZZIIIIIII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"ZIIIIIIII",
"IIZIIIIII",
"IZIIIIIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
3.5,
14.5,
7,
16,
2,
-2,
9.5,
8.5,
19.5
] | 0.977508 | [
2.8308305047383997,
0.012978240414256752,
0.16687457567686384,
0.48649165910590353,
2.98111425875076,
0.09256822437060895,
-0.046951461801842176,
3.091388296633985,
0.15627810106350373,
0.07946199547157809,
-0.14850074619561424,
3.435658161939095,
-0.02369133743881649,
2.893921459922757,
... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -87.5,
"target_ratio": 0.97,
"target_value": -84.875
} | 20 |
e6f5f7344f65c4a1f156bb9648ed863a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 4}, ... | {"states": [716, 726], "expectation_value": -0.9439945728994688, "params": [[[0.3895, 0.0005, 0.001, 0.0027], [0.3617, 0.0473, 0.3917, 0.1733], [0.1764, -0.1524, 0.1353, -0.2008], [0.034800000000000005, -0.2088, 0.392, -0.14120000000000002], [0.1246, 0.0524, -0.3216, -0.0843], [0.389, 0.1617, 0.39940000000000003, 0.002... | 0.5 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(5)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(4) @ Z(5)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0)... | 11 | 10 | 4 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.875, "smallest_bitstrings": ["0101100001", "0100101001", "1000101001"], "largest_eigenvalue": 6.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-3.1374338262775128) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.5141024789065256) q[1];
h q[2];
ry(-1.5141024789065256) q[2];
h q[3];
ry(1.4590942705866212) q[3];
h q[4];
ry(1.4590942705866212) q[4];
h q[5];
ry(-0.5141218154998566) q[5];
h q[6];
cx q[6], q[5];
ry(0.5141218154... | 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": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIZIIIIZ",
"IIIIIZIIIZ",
"IIIIIIZZII",
"IIIIZIIZII",
"IIIIIZIZII",
"IIIIZIZIII",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIIIIZZIZ",
"IIIIZIIZIZ",
"IIIIIZIZIZ",
"IIIIZIZIIZ",
"IIIIIZZIIZ",
"IIIIZZIIIZ",
"IIIIZIZZII",
"IIIIIZZZII",
"IIIIZZIZII"... | [
0.5,
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,
0.0625,
0.0625,
0.0625,
0.0625,
... | 0.997421 | [
-1.5141024789065256,
1.4590942705866212,
-1.0282436309997132,
0.7068623946813855,
-0.3995033358839512,
0.5047482531940948,
-0.4899081905812286,
0.27040199392320335,
-0.22448066528365312,
0.21508645779198987,
0.11251527262301743,
0.13551759362693228,
0.036679109681780155,
-0.042493123121424... | {
"n_parameters": 15,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
c301ae9e74cfd773a57fdaabfc40d1fb | 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": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [218, 154], "expectation_value": -5.248000927064703, "params": [1.2024000000000001, 0.0097, 0.7534000000000001, 0.23570000000000002, 0.0499, 0.3486, 1.197, -0.021400000000000002, 1.0036, -0.013900000000000001, 0.0782, 0.0037, 1.2039, 0.0012000000000000001, -0.0015, -0.48810000000000003, 1.1981000000000002, -... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + -2.0 * Z(2) + 0.0 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -... | 4 | 8 | 2 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["00101101", "01100101"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.0899495590553703) q[0];
rz(1.2599717983831722) q[0];
rx(0.35966206498416187) q[1];
rz(0.5173772421702716) q[1];
rx(0.049247863621531565) q[2];
rz(-0.9110745856982985) q[2];
rx(0.4695330868886083) q[3];
rz(0.927325708989474) q[3];
rx(2.5902546354463687) q[4];
rz(0.9... | OPENQASM 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",
"IIIZIZII",
"IIIZIIZI",
"IIZIIZII",
"IIZZIIII",
"IIZIIIZI",
"IIIIZZII",
"ZIIIIZII",
"ZIIZIIII",
"ZIIIZIII",
"IZZIIIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"IIZIIIII",
"IIIIZIII",
"ZIIIIIII",
"IZIIIIII"
] | [
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,
-1.5,
-0.5,
-1.5,
-0.5,
-1.5,
-0.5
] | 0.974138 | [
1.08994955905537,
1.3421361928399569,
0.35966206498416176,
0.23192826330731392,
0.049247863621531565,
-0.6589491054866459,
0.4695330868886083,
1.079506798965846,
2.5902546354463687,
1.2006090036955102,
0.11962236482033815,
-0.05417425322585659,
1.3874077813340004,
0.9312216766831635,
0.2... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 51 |
5b39644584e842e3639fc8f18468a184 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [490, 362], "expectation_value": -65.75422752384718, "params": [2.8939, 0.0046, 1.4901, 0.0058000000000000005, 2.9048000000000003, 0.0091, 2.9024, 0.0016, 0.0021000000000000003, 0.004, 2.8937, 0.004200000000000001, 0.4545, 0.0085, 2.8892, 0.009600000000000001, -0.0018000000000000002, 0.0036000000000000003, 0... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(2) @ Z(1)) + 6.0 * (Z(3) @ Z(0)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(6) @ Z(2)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(7) @ Z(0)) + 6.0 * (Z(7) @ Z(3)) + 6.0 * (Z(8) @ Z(7)) + 18.0 * Z(0) + 10.5 * Z(1) + 15.0 * Z(2) + 13.5 * Z(3) + -2.0 * Z(4) + 6.0 * Z(... | 18 | 9 | 1 | {"smallest_eigenvalues": [-75.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["010010101"], "largest_eigenvalue": 139.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(2.7241531687495577) q[0];
rz(-0.24180777068870452) q[0];
rx(0.44947072446459835) q[1];
rz(0.056127391451929284) q[1];
rx(3.177163920973702) q[2];
rz(-0.09817766206160486) q[2];
rx(3.137195265438572) q[3];
rz(0.00012137401573718287) q[3];
rx(-0.12546356302323325) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIZIIZ",
"IIIIZZIII",
"IIIZIIIZI",
"IIZIIIZII",
"IIZZIIIII",
"IZIIIIIIZ",
"IZIIIZIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
18,
10.5,
15,
13.5,
-2,
6,
1,
12.5,
-1.5
] | 0.974685 | [
2.7241531687495577,
-0.22293083235214195,
0.44947072446459835,
0.056127391451929284,
3.177163920973702,
-0.09817766206160486,
3.137195265438572,
0.00012137401573718287,
-0.12546356302323325,
-0.6369023400970122,
3.2493161701091147,
0.42670529337105156,
0.13031400972487783,
-0.2112053097071... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -75,
"target_ratio": 0.97,
"target_value": -72.75
} | 9 |
cde6b48ed870286595c1455af7aff8bd | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}]} | {"states": [61051, 60795], "expectation_value": -19.77299446074027, "params": null, "bitstrings": ["0001000110000100", "0001001010000100"], "total_optimization_steps": 100, "probabilities": [0.04221512464039476, 0.7004298277408587], "optimization_time": 908.5579006671906} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(2)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(... | 1 | 16 | 3 | {"smallest_eigenvalues": [-20.49999999999988], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.499999999999847, "smallest_bitstrings": ["0001001010000100"], "largest_eigenvalue": 69.50000000000021} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 0}]}} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\nry(1.5577) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3... | [
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIIIIZII",
"IIIIIIIIZIIIIIIZ",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZZIIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
... | 0.989 | [
1.5946656311860272,
1.4546236341953724,
-1.3915392123108226,
-1.043543998175015,
-0.7696115407594695,
0.5858465026550362,
0.5980335866172003,
-0.5311148471859957,
0.6361651825545125,
-0.4145474599646862,
-0.39359418429255133,
-0.3850745616697103,
-0.5256664875247946,
-0.3291045904565906,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 1 |
87c3ced1ef7832360d99a2d1828a4d93 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [1017, 1525], "expectation_value": -0.10923732592934489, "params": [[-0.0393, -0.041600000000000005, -0.012700000000000001], [0.0422, 0.0545, 0.030100000000000002]], "bitstrings": ["10000000110", "01000001010"], "total_optimization_steps": 10, "probabilities": [0.0006358861166326989, 0.0006358861166327], "op... | 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)) + 0.0625 * (... | 1 | 11 | 3 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.6875, "smallest_bitstrings": ["00100100100", "10000000110", "00011000010", "01000100001", "01000001010"], "largest_eigenvalue": 5.3125} | 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... | OPENQASM 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": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIIIIZZZ",
"IIIIIIIZIZZ",
"IIIIIIIZZIZ",
"IIIIIIIZZZI",
"IIIIIIIZZZZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIZIIIIIZ",
"IIIZIIIIIIZ",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIZIIZIIII",
"IIIIZZIII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
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... | 0.996543 | [
-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 |
474afac3a31ba487f93ea7ccb82b3637 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 5, "source": 0, ... | {"states": [83, 85], "expectation_value": -16.172240777607765, "params": null, "bitstrings": ["10101100", "10101010"], "total_optimization_steps": 77, "probabilities": [0.05571345186147708, 0.7665055652737572], "optimization_time": 107.98779010772705} | -0.75 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.75 * (Z(7) @ Z(1)) + 2.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["10101010"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.36872562284623683) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.0013655158718997333) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.00014135006894810655) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.8230635131707402) q[4];... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5577) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIIZI",
"IIIZIIIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIZIZI",
"IZIIIIZI",
"IZIIIZII",
"IIZIIIZI",
"IIZIIZII",
"IIZZIIII",
"ZIZIIIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIII... | [
-0.75,
-1.25,
-1,
-0.5,
-1.75,
2.75,
-0.25,
-1,
-1.5,
-0.75,
-1,
-1.25,
-1,
-1.5,
-1.25,
3.5,
-0.25,
-1.75,
-2.25,
-0.75,
0.25,
-2.25,
3.5
] | 0.701154 | [
-0.36872562284623683,
0.0013655158718997333,
0.00014135006894810655,
-0.8230635131707402,
0.436838185920855,
-0.026107577769653063,
0.6164086498279017,
0.0005290909695814357,
-1.5695427040038046,
1.5735797033135825,
-1.5707911703690771,
1.5642689749322976
] | {
"n_parameters": 12,
"n_qubits": 8,
"optimal_eigenvalue": -19,
"target_ratio": 0.97,
"target_value": -18.43
} | 323 |
250509f37f9446f8e0ae2849e52dd5c2 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "... | {"states": [2060, 12], "expectation_value": -12.081422210151297, "params": [1.4871, 0.006200000000000001, 0.0023, 0.003, 0.0024000000000000002, 0.0027, -0.0024000000000000002, 0.0081, -0.0024000000000000002, 0.0039000000000000003, -0.0023, 0.0034000000000000002, -0.0024000000000000002, 0.0037, 0.0022, 0.0014, 3.1438, 0... | 0.5 * (Z(0) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(0)) + 1.0 * (Z(1) @ Z(8)) + 0.8571428571428572 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(9)) + 1.0 * (Z(2) @ Z(8)) + 0.8571428571428572 * (Z(2) @ Z(0)) + 1.0 * (Z(2) @ Z(9)) + 1.7142857142857144 * (Z(2) @ Z(1)) + -1.0 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(0)) + -1.0 * (Z... | 18 | 12 | 1 | {"smallest_eigenvalues": [-12.214285714285715], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.928571428571429, "smallest_bitstrings": ["111111110011"], "largest_eigenvalue": 61.35714285714286} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.23187867410549912) q[3];
cx q[4], q[3];
rz(0.8132055690128235) q[3];
rx(0.035835034364257105) q[3];
rz(0.8132055690128235) q[4];
rx(0.035835034364257105) q[4];
cx q[4], q[3];
rz(-0.05443002659568791) q[3];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IIIZIIIIIIIZ",
"IIZZIIIIIIII",
"IIZIIIIIIIIZ",
"IIIZIIIIIIZI",
"IIIIIIIIIIZZ",
"IIZIIIIIIIZI",
"IIIZIIIIIZII",
"IIIIIIIIIZIZ",
"IIZIIIIIIZII",
"IIIIIIIIIZZI",
"IIIZIIZIIIII",
"IIIIIIZIIIIZ",
"IIZIIIZIIIII",
"IIIIIIZIIIZI",
"IIIIIIZIIZII",
"IIIZIZIIIIII",
"IIIIIZIIIIIZ",
"IIZIIZIII... | [
0.5,
1,
0.5,
1,
0.8571428571428572,
1,
1,
0.8571428571428572,
1,
1.7142857142857144,
-1,
-0.5,
-1,
-1,
-1,
-2,
-1,
-2,
-2,
-2,
2,
-0.5,
-0.5,
-0.5,
-1,
-1,
0.5,
1,
0.5,
0.5,
-0.5,
-1,
1,
1,
-1,
-2,
1,
-0.07142857142857142,
2.5,
1.14285714... | 0.935118 | [
-0.32731231516638337,
0.14897380147739106,
0.3033132207069555,
-0.2901323363886198,
-0.02932935189490087,
0.10782745201277463,
-0.2881621225257422,
1.141182308632574,
0.23187867410549912,
-0.6141242174422797,
0.03341520145894577,
0.6529864875408972,
0.6390851350237903,
0.859657635171111,
... | {
"n_parameters": 68,
"n_qubits": 12,
"optimal_eigenvalue": -12.214285714285715,
"target_ratio": 0.97,
"target_value": -11.847857142857144
} | 500 |
2595393ec6a8cf85d387fa4d443f68fe | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [33, 41], "expectation_value": -0.8779698092210971, "params": [1.0176, 0.0049, 1.6049, 0.005200000000000001, 1.0175, 0.0085, 1.6045, 0.0083, 0.0023, 0.0009000000000000001, 0.9957, 0.0021000000000000003, 1.6106, 0.0068000000000000005, 0.0018000000000000002, 0.0007, 0.0001, 0.0089, 0.0013000000000000002, 0.007... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(0) @ Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(6) @ Z(4)) + -0.125 * (... | 18 | 7 | 1 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.375, "smallest_bitstrings": ["1010110", "0101110", "1010101", "1001110", "1001101", "0110101", "0110110"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.039378763522295586) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.039378763522295586) q[1];
cx q[3], q[1];
h q[4];
cx q[3], q[4];
rz(0.039378763522295586) q[4];
cx q[3], q[4];
rz(-1.5354177947497778) q[3];
rx(-1.63381938549... | OPENQASM 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",
"IIIZZII",
"IIIIZIZ",
"IZIIIIZ",
"IZIIZII",
"IZIIZIZ",
"ZZIIIII",
"IIIZIZI",
"IIZIIZI",
"ZIIIIZI",
"IIZZIII",
"ZIIZIII",
"ZIZIIII",
"IIZZIZI",
"ZIIZIZI",
"ZIZIIZI",
"ZIZZIII",
"ZIZZIZI",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZII... | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.25,
-0.125,
-0.25,
-0.125,
-0.625,
-0.25,
-0.125
] | 0.980264 | [
0.039378763522295586,
-1.5354177947497778,
1.43026941588834,
-1.4957618524327259,
1.2143430960656043,
-1.6338193854963232
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 44 |
59deeb40f95ff303d5282237394ba182 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [42, 170], "expectation_value": -3.9461610428276606, "params": [[[0.40280000000000005, 0.0007], [0.0008, 0.19790000000000002], [0.40030000000000004, -0.0002], [0.1784, 0.10640000000000001], [0.4005, -0.0022], [-0.0081, 0.1971], [0.4036, 0.003], [-0.0079, 0.21930000000000002]], [[0.397, 0.0007], [-0.000300000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(5) + -2.0 * Z(7) + ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["01010101"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-1.7380703452836421) q[0];
ry(3.0336345138974052) q[0];
rz(1.0153855579070132) q[0];
rz(2.318369064279266) q[1];
ry(0.14272159453769553) q[1];
rz(-1.3637669414534872) q[1];
rz(1.086991346442436) q[2];
ry(2.7968487772494424) q[2];
rz(-1.8050092552481594) q[2];
rz(-1.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIZIIIZI",
"IIZIIIIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIZIIIII",
"IIIZIIZI",
"IIZZIIII",
"ZIIIIZII",
"IIIZZIII",
"IIIIZZII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"ZIIIIIII",
"IIIZIIII",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII"
] | [
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,
-2,
-1,
-0.5,
-0.5,
0
] | 0.981632 | [
0.7406338660564493,
0.007507967740284203,
-0.0054953722433815355,
0.42817964524185265,
0.749964711096238,
-0.12551475898124814,
0.10805350689773081,
0.04174059584326137,
1.1238602232113784,
0.033640286656872284,
-0.06519796010737874,
0.2473146389174218,
0.9826106947127653,
0.08101660829256... | {
"n_parameters": 56,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 15 |
2463009926627072355 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 5], [0, 3], [8, 1, 7], [0, 1, 4], [1, 2, 7], [8, 1, 4], [4, 5], [0, 4, 6], [2, 5, 6], [0, 1, 6], [1, 5], [8, 2, 7], [8, 4, 6], [3, 5], [8, 5], [2, 3], [8, 3], [0, 5, 6], [2, 4], [8, 0], [0, 2, 7]]} | {"states": [455, 453], "expectation_value": -3.033379841236604, "params": [1.0045, 0.0023, 0.9935, 0.0006000000000000001, 1.0051, -0.0027, 0.9993000000000001, 0.0035, 0.9946, 0.0039000000000000003, 0.9993000000000001, 0.008400000000000001, 0.9955, 0.003, 0.46890000000000004, 0.0015, 0.9895, -0.009600000000000001, 0.765... | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0... | 6 | 9 | 1 | {"smallest_eigenvalues": [-5.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.499999999999998, "smallest_bitstrings": ["000111010"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.804215366008725) q[0];
rz(1.665592147481103) q[0];
rx(1.5289859276877085) q[1];
rz(1.5064738766182302) q[1];
rx(1.7947200245826957) q[2];
rz(1.6344577389191333) q[2];
rx(0.15304724147531185) q[3];
rz(0.8619997399044674) q[3];
rx(0.49370878920267947) q[4];
rz(1.4485... | OPENQASM 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",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIZIZIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIZIIIII",
"ZIIIIZIII",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIZIIIZI",
"ZIIIIIIZI",
"IZIIIIZII",
"IZIIIIIIZ",
"ZZIIIIIII",
"IZIIIIIZI",
"IIIIZIZII",
"IIIIZIIIZ",
"IIIZZIIII",
"... | [
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.5,
0.5,
0.5,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.3333333333333333,
0.5,
0.3333333333333333,
0.5,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.5,
0.3333333333333333,
0.5,
0... | 0.972224 | [
1.804215366008725,
0.09479582068620696,
1.5289859276877082,
-0.06432245017666664,
1.7947200245826957,
0.06366141212423745,
0.15304724147531185,
-0.7087965868904295,
0.4937087892026794,
-0.12229477056802904,
0.07387248698061144,
0.13582962736181248,
0.8260920420910783,
0.12870254145949558,
... | {
"n_parameters": 41,
"n_qubits": 9,
"optimal_eigenvalue": -5.166666666666668,
"target_ratio": 0.97,
"target_value": -5.011666666666668
} | 85 |
93141c357d164fcf2a36ba666f8f01e3 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [8, 3], "expectation_value": -0.09203898899943753, "params": [[-0.0439, -0.0161], [0.056900000000000006, 0.037200000000000004]], "bitstrings": ["0111", "1100"], "total_optimization_steps": 10, "probabilities": [0.06488273192038538, 0.06723044718707398], "optimization_time": 1.1296358108520508} | 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)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["1100"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1714898456555271) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.1714898456555271) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1714898456555271) q[1];
cx q[1], q[0];
rz(-0.24938667349607663) q[0];
cx q[1], q[0];
cx q[2], q[1];
h q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2... | null | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-0.5
] | 0.525188 | [
0.1714898456555271,
-0.24938667349607663,
1.1176635259891476,
0.8103834446690221,
-0.7718739166458187
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 163 |
9da08d96775018b4c7ccf36ef54d0b19 | 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": [207, 79], "expectation_value": -67.41435963886849, "params": [0.2912, 0.1358, 0.26780000000000004, 0.26940000000000003, 0.4899, 0.49470000000000003, -0.0047, 0.0008, 0.1965, 0.1867, 0.4847, 0.4884, 0.48350000000000004, 0.4839, 0.4756, 0.4832, 0.4922, 0.498, -0.0379, -0.0951, 0.2674, 0.2687, 0.48910000000000... | 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(5) @ Z(1)) + 7.0 * (Z(6) @ Z(2)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(0) @ Z(8)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(7) @ Z(8)) + 12.0 * Z(1) + 16.5 * Z(2) + 4.5 * Z(4) + 14.5 * Z(5) + 13.5 * Z(6) + 10.0 * Z(8) + -6.5 * Z(0) + 13.... | 14 | 9 | 3 | {"smallest_eigenvalues": [-80.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.5, "smallest_bitstrings": ["110110000"], "largest_eigenvalue": 156.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.26258959593878867) q[0];
rz(pi/2) q[0];
ry(0.24457449690484295) q[1];
ry(0.6861338027756705) q[2];
ry(-0.046187555010076896) q[3];
ry(0.13321114203378018) q[4];
ry(0.6570995187244382) q[5];
ry(0.4612873861070804) q[6];
ry(0.5216345672791036) q[7];
ry(0.536778807250... | 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... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIZIZII",
"IIIZIIIZI",
"IIZIIIZII",
"IIZIZIIII",
"IIZZIIIII",
"ZIIIIIIIZ",
"IZIIIIIZI",
"IZIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIIIZIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
12,
16.5,
4.5,
14.5,
13.5,
10,
-6.5,
13,
-9
] | 0.972341 | [
0.26258959593878867,
0.24457449690484295,
0.6861338027756705,
-0.046187555010076896,
0.13321114203378018,
0.6570995187244382,
0.4612873861070804,
0.5216345672791036,
0.5367788072508827,
-0.04210850161481737,
-0.25397655017171616,
0.3391811370112895,
-0.21277690226390297,
0.8285394517993709... | {
"n_parameters": 104,
"n_qubits": 9,
"optimal_eigenvalue": -80.5,
"target_ratio": 0.97,
"target_value": -78.085
} | 20 |
fdfbddd83ad5e4b88801b3192987124e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 2... | {"states": [1, 57], "expectation_value": -8.452899856368651, "params": null, "bitstrings": ["1111110", "1000110"], "total_optimization_steps": 52, "probabilities": [0.1796831586444573, 0.5310193734902531], "optimization_time": 50.84563851356506} | -0.75 * (Z(0) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(1) @ Z(4)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * Z(4) + -0.25 * Z(0) + -0.75 * Z(5) + 1.0 * Z(6) + 0.75 *... | 1 | 7 | 2 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.75, "smallest_bitstrings": ["1000110", "1111110"], "largest_eigenvalue": 7.25} | 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[0];
rz(-0.3200396269150379) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.08926708559789197) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(-0.3200396269150379) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(-0.382786... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.57) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];... | [
"IIZIIIZ",
"IZZIIII",
"IZIIIIZ",
"ZIIIIIZ",
"ZZIIIII",
"IIZIIZI",
"IIIIZZI",
"IIZZIII",
"ZIIZIII",
"IIIZIZI",
"IIIZZII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII"
] | [
-0.75,
-1.5,
-1,
2,
-0.25,
-0.75,
-1,
-0.5,
-0.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.75,
1,
0.75,
-0.25,
0
] | 0.810073 | [
-0.3200396269150379,
0.08926708559789197,
-0.3827861201307439,
0.3471470627240742,
-0.7515704665862538,
-0.3267668593634906,
0.16898582939016338,
-0.7763201657017763,
-0.815770852515257,
-1.535634986606571,
-0.5078065568147562,
-0.15503038467109106,
-0.7855234435767351,
0.5365222126647917,... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -9.75,
"target_ratio": 0.97,
"target_value": -9.4575
} | 448 |
2037c68aca19f83c01748f0e59e08f2f | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 6}, {"source": 4, "target": 5},... | {"states": [2032, 2044], "expectation_value": -10.029197396383545, "params": [0.35700000000000004, 0.0233, 0.3653, 0.2886, 0.2967, 0.40800000000000003, 0.3603, 0.2908, 0.3791, 0.0975, 0.3744, 0.5685, 0.3584, 0.5697, 0.3482, 0.36160000000000003, 0.3841, 0.11320000000000001, 0.3829, 0.38320000000000004, 0.360500000000000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -1.5 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(8)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * (Z(7) @ Z(6)) + -1.5 * (Z(9) @ Z(10)) + -1.0 * (Z(2) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(8) + 0.5 * Z(5) + 0.5 * Z(6) + 0.5 * Z(7) + -... | 6 | 11 | 4 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.5, "smallest_bitstrings": ["00000000000", "00000000011"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.9295506563086005) q[0];
rz(2.2807623343092303) q[0];
rx(-0.8567996128266898) q[1];
rz(3.1328596491862264) q[1];
rx(-0.2697593181754737) q[2];
rz(2.6047706566442557) q[2];
rx(-0.4650308578495124) q[3];
rz(2.623956812406524) q[3];
rx(-0.7835008226917056) q[4];
rz(3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIZIIZIIIII",
"IIZIZIIIIII",
"IIZZIIIIIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"ZZIIIIIIIII",
"IIIIIIIZZII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIZIIII",
"IIZIIIIIIII",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IIIZIIIIIII",
"ZIIIIIIIIII",
"IZIIIIIII... | [
-1.5,
-1.5,
0.5,
-1.5,
0.5,
-2,
0.5,
-1.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
1,
0.5,
0.5
] | 0.865269 | [
-0.9295506563086007,
0.7099660075143339,
-0.85679961282669,
1.5620633223913303,
-0.2697593181754737,
1.03397432984936,
-0.4650308578495125,
1.0531604856116272,
-0.7835008226917056,
1.5242732318561738,
-0.626126329901162,
1.2296018887015683,
0.35462332305321204,
1.9093382549555464,
0.7073... | {
"n_parameters": 107,
"n_qubits": 11,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 500 |
605742faa50c2e92c07356e058fd303f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [1, 17], "expectation_value": -2.771293567625353, "params": [[[0.37920000000000004, -0.005], [0.7984, -0.021400000000000002], [0.0018000000000000002, -0.0253], [0.8039000000000001, -0.7931], [0.3821, 0.7959], [0.2296, -0.0281]], [[0.3891, 0.0004], [0.8066, 0.003], [-0.015600000000000001, -0.00340000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(4) + -0.5 * Z(3) + -1.0 * Z(5) | 15 | 6 | 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": ["101011", "100111", "101110", "011011", "111001", "011110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.2519734558329277) q[0];
rz(0.3651187390109438) q[0];
rx(0.549123536582348) q[1];
rz(0.1729633947430669) q[1];
rx(0.43121785023168274) q[2];
rz(-0.3977475527083846) q[2];
rx(0.7480155259603805) q[3];
rz(0.11334574533755185) q[3];
rx(0.9524074886463487) q[4];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZZII",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
-1.5,
-0.5,
-1
] | 0.973344 | [
-0.25197345583292763,
0.2954298013317361,
0.549123536582348,
0.1729633947430669,
0.43121785023168274,
-0.3977475527083846,
0.7480155259603805,
0.11334574533755185,
0.9524074886463487,
0.09007031560592105,
-0.034370920448749724,
0.1359556355151768,
0.6730941809643614,
0.021375644081781026,
... | {
"n_parameters": 106,
"n_qubits": 9,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 14 |
857e65bd5af79cea0e3b06ea35e9b80e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 5... | {"states": [126, 63], "expectation_value": -2.5030535619761345, "params": [[-0.0736, -0.0805, -0.0804], [0.0752, 0.07730000000000001, 0.0755]], "bitstrings": ["0000001", "1000000"], "total_optimization_steps": 10, "probabilities": [0.021287669320133103, 0.024812841316610528], "optimization_time": 4.106443166732788} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + 1.25 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * Z(2... | 1 | 7 | 3 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["1000000", "1100000"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.2769341436219489) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.057074071219356405) q[3];
cx q[2], q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.057074071219356405) q[1];
cx q[2], q[1];
rz(0.057074071219356405) q[3];
cx q[0], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIIIZZI",
"IZIIZII",
"IZIIIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIIZIII",
"ZZIIIII",
"IIZIZII",
"IIZZIII",
"IIZIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IZIIIII",
"ZIIIIII",
"IIZIIII"
] | [
-0.25,
-0.75,
-0.75,
-0.75,
-0.5,
-0.75,
-0.25,
1.25,
-0.75,
-0.75,
-0.75,
-0.5,
-0.75,
-0.25,
-0.25,
0.25,
-2.25,
1,
-0.5,
2
] | 0.733794 | [
-0.2769341436219489,
0.057074071219356405,
0.18472090887069437,
-1.6078992780258565,
-1.5695343960588928,
1.488828008408487,
-1.4186602505274495,
-1.5303598749129772,
1.167335064925295
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 215 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.