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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
78f89ba37e1e52ef320c2e0609cedde3 | 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}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "s... | {"states": [133, 215], "expectation_value": -9.059349725155602, "params": null, "bitstrings": ["101111010", "100101000"], "total_optimization_steps": 82, "probabilities": [0.13244453111321247, 0.6366772228692882], "optimization_time": 166.22258853912354} | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(5)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["100101000"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.14641081276545506) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.14641081276545506) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(1.446521872496118) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.09337964079066705) q[4];
cx q[0]... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIZII",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZIZIII",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIZIIIZI",
"IIZIIIIZI",
"IZIIIIZII",
"IZIIIZIII",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"... | [
-0.5,
-0.5,
-1,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
2,
-0.25,
-0.25,
-0.5,
0.25,
-0.25,
-1.25,
-0.25,
-1,
1.5,
-0.25,
0.5,
0.75
] | 0.589868 | [
0.14641081276545506,
1.446521872496118,
0.09337964079066705,
-1.3582993433250345,
0.08855406426495552,
1.5235042087243942,
-1.4438171798178152,
0.3232872648045847,
-0.20999463321216236,
0.9608239973720152
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 259 |
cba3c0f3028bedd24c97c562399fe60f | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [13, 7], "expectation_value": -12.05337476454533, "params": null, "bitstrings": ["1110010", "1111000"], "total_optimization_steps": 63, "probabilities": [0.26693860846756895, 0.4113682666829968], "optimization_time": 83.96529269218445} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.25 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-4.011935460582535e-09) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-4.011935460582535e-09) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-4.011935460582535e-09) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-4.011935460582535e-09) q[3];
c... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5577) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
-3.25,
-3.5,
-3.25,
-3.25,
-2.75,
-3.25,
-2.75
] | 0.740989 | [
-4.011935460582535e-9,
1.3554674035363465e-8,
0.9694266146810376,
1.5707964080681434,
-1.5707962967130897,
1.5707963408013987
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 195 |
90ed954541db23a75eecb07977c28089 | 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": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": ... | {"states": [2006, 2038], "expectation_value": -2.999335714848278, "params": [[[-0.0166, 0.9528000000000001], [0.002, 1.5661], [0.1756, -0.30920000000000003], [0.0012000000000000001, -0.0901], [-0.0111, -0.3261], [-0.007, -0.0714], [1.6432, 1.5473000000000001], [0.0043, 1.5399], [0.003, 1.5613000000000001], [-0.0022, 1.... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 15 | 12 | 2 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.8125, "smallest_bitstrings": ["010001000001", "000100110000", "100000001001", "100000000110", "001001000100", "001000101000", "000011010000", "010000100010"]... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3009393722060807) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.3009393722060807) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.3009393722060807) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(0.3009393722060807) q[0];
cx q[3], q[0];
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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIZIIZI",
"IIIIIIIIZZII",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIZIIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIZIZIZ",
"IIIIIIIZZIIZ",
"IIIIIIIIZZZI",
"IIIIIIIZI... | [
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,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.1... | 0.807446 | [
0.3009393722060807,
1.2484013044131173,
-0.3798378390662217,
0.4270385845264586,
-0.18410433411884003,
0.15621560101591658,
0.7528483255570873,
0.46142641491757197,
0.9481662270374182,
-0.565569105340614,
-0.3443169043342043,
-0.45828684618528925,
0.6868535447971575,
-0.27349808895761746,
... | {
"n_parameters": 27,
"n_qubits": 12,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 500 |
be472b2016026c5093c540b6b797236b | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, ... | {"states": [98, 97], "expectation_value": -4.496446952351244, "params": null, "bitstrings": ["0011101", "0011110"], "total_optimization_steps": 28, "probabilities": [0.06701298199197654, 0.9297039673563081], "optimization_time": 21.109019994735718} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(3) + -0.5 * Z(0) + -2.0 * Z(4) + -1.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(5) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0101110", "1100110", "0011110", "0011101"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.11165047736061574) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.11165047736061574) q[4];
cx q[3], q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.11165047736061574) q[1];
cx q[3], q[1];
rz(0.6801004226265079) q[3];
rx(1.8... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"IIZZIII",
"IIZIIIZ",
"IIIZIZI",
"IIZIIZI",
"IIZIZII",
"IIIIZZI",
"IZZIIII",
"IZIIZII",
"ZZIIIII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-2,
-1,
-1,
-1,
0
] | 0.949988 | [
0.11165047736061574,
0.6801004226265079,
-1.2793669971327344,
1.906877128597564,
-0.2048939820595919,
1.8032456787499715,
-0.5439094982994973,
0.94195206775595,
0.8232072892909775,
-1.3535390962714295,
0.5164659028424529,
-0.8711557630337686,
2.0150652390121726,
-0.5314133466484031,
3.15... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 500 |
2e200bb8073486f9f5618c79a707f4f5 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 6}, {"weight": 17, "source": 1, "target": 2}, {"weight": 10, "sourc... | {"states": [218, 217], "expectation_value": -33.59866918202871, "params": [[-0.027600000000000003], [0.26430000000000003]], "bitstrings": ["100100101", "100100110"], "total_optimization_steps": 30, "probabilities": [0.010522427359336433, 0.010626227841680649], "optimization_time": 2.226392984390259} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 15.5 * Z(1) + 4.5 * Z(0) + 13.5 * ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["100100110"], "largest_eigenvalue": 167.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.05389555706766139) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.05389555706766139) q[2];
cx q[0], q[2];
rz(1.3399068670556034) q[0];
rx(1.4933272231127912) q[0];
h q[3];
cx q[2], q[3];
rz(0.05389555706766139) q[3];
cx q[2], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
15.5,
4.5,
13.5,
10,
23,
6.5,
8.5,
15.5,
-5.5
] | 0.97515 | [
0.05389555706766139,
-1.4523365347223045,
1.3399068670556034,
-1.5956053237473822,
1.67242130194235,
-1.5846271743055378,
-1.124554282642701,
1.7168663591460473,
1.7556111004781285,
1.4933272231127912
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 53 |
94b4685949b0232e6f45bdcd5b80e7ab | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [169, 173], "expectation_value": -2.898526153750389, "params": [[[-0.0188, -0.27690000000000003, 0.004200000000000001, 0.0009000000000000001], [0.3309, -0.066, 0.4501, 0.0029000000000000002], [0.1092, -0.002, 0.0032, -0.004], [0.2713, -0.0023, 0.2793, 0.00030000000000000003], [0.0018000000000000002, 0.4519, ... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 12 | 9 | 4 | {"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": ["100010011", "001011010", "011011000", "001010110", "010011001", "101010010"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.6003112138562008) q[0];
h q[1];
ry(1.5341979766004288) q[1];
ry(-3.0257311896122494) q[2];
rz(-pi) q[2];
cx q[1], q[2];
ry(-0.1006576401825402) q[2];
cx q[1], q[2];
ry(-0.00033704463714811367) q[1];
h q[3];
ry(1.3542772226348128) q[3];
ry(-0.07867566167356... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIZZIIIII",
"IIZZIIIIZ",
"IZIIIIIZI",
"IZIZIIIII",
"ZIIIIIZII",
"IIIIZZIII",
"IIZIIZIII",
"ZIIIIZIII",
"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
-0.125,
-0.125,
0.25,
-0.625,
-0.25,
... | 0.996853 | [
-1.6003112138562008,
-1.5712307081150918,
-1.4349152172149955,
1.5341979766004288,
1.3542772226348128,
-0.11441089581268042,
0.2013152803650804,
0.18845931115321368,
-0.11702323405277497,
-0.0006740892742962273,
-0.06790808289822309,
-0.07867789271409684,
0.01138260793953559
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
240b510bfe77c5e3336f7e5d9b59c15c | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 9}, {"source": 4, "target": 5},... | {"states": [1800, 1792], "expectation_value": -20.840715255088952, "params": null, "bitstrings": ["00011110111", "00011111111"], "total_optimization_steps": 100, "probabilities": [0.22074692661554957, 0.24520612412903384], "optimization_time": 285.26950311660767} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + -2.5 * (Z(4) @ Z(5)) + -3.5 * (Z(7) @ Z(5)) + -3.0 * (Z(7) @ Z(4)) + 1.0 * (Z(10) @ Z(5)) + -3.0 * (Z(10) @ Z(4)) + -3.0 * (Z(10) @ Z(7)) + 1.0 * (Z(6) @ Z(7)) + 1.0 * (Z(6) @ Z(10)) + 1.0 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(3)) + 1... | 1 | 11 | 1 | {"smallest_eigenvalues": [-40.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -39.5, "smallest_bitstrings": ["00011111111"], "largest_eigenvalue": 48.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.11298371760739895) q[0];
rz(2.1308247945301666) q[0];
rx(-1.0959930436633436) q[1];
rz(1.2542290970679808) q[1];
rx(1.8089390536199348) q[2];
rz(1.4578126091874974) q[2];
rx(-0.4808982960156868) q[3];
rz(1.9236401387898638) q[3];
rx(0.02092150305514334) q[4];
rz(... | null | {"node": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nry(-1.5577) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = m... | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIZIZIIIII",
"IIIZIIZIIII",
"ZIIIIZIIIII",
"ZIIIIIZIIII",
"ZIIZIIIIIII",
"IIIZZIIIIII",
"ZIIIZIIIIII",
"IIZIIZIIIII",
"IIZIIIIZIII",
"IIZIIIZIIII",
"IIZZIIIIIII",
"ZIZIIIIIIII",
"IIZIZIIIIII",
"IZIIIZIII... | [
-1.5,
0.5,
-1.5,
0.5,
-2.5,
-3.5,
-3,
1,
-3,
-3,
1,
1,
1,
0.5,
1,
-4,
-3.5,
-3,
1,
0.5,
1,
-4,
-3.5,
-3,
-3,
0.5,
0.5,
0.5,
-3,
-2,
1,
2,
1.5,
1.5,
-3.5,
-3.5
] | 0.97008 | [
-0.11298371760739895,
0.5600284677352704,
-1.0959930436633436,
-0.3165672297269168,
1.8089390536199348,
-0.48089829601568673,
0.35284381199496845,
0.020921503055143342,
0.07189399056380955,
-0.009901088009585213,
-0.0003831305348618863,
0.06461911768407497,
0.048728852687442384,
0.12819816... | {
"n_parameters": 26,
"n_qubits": 11,
"optimal_eigenvalue": -40.5,
"target_ratio": 0.97,
"target_value": -39.285
} | 5 |
142bfd63d620ab803e67c35943475f60 | 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": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"sour... | {"states": [105, 109], "expectation_value": -5.129245822006236, "params": [[0.0037, 0.025, 0.5124000000000001, 0.5996, 0.0009000000000000001, 0.8922, 0.2059, 0.0017000000000000001, 0.779], [-0.0521, -0.112, 0.9019, 0.9006000000000001, -0.0026000000000000003, 0.9041, 0.9085000000000001, 0.0016, 0.7861], [0.0253, -0.0071... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(6) + 0.0 * Z(8) + -0.5 * Z(5) + -1.0 * Z(... | 10 | 9 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["100011010", "110110000", "110010010"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.02584256908872494) q[0];
rz(0.27895682444015435) q[0];
rx(0.3400058701810029) q[1];
rz(0.20076395196940533) q[1];
rx(3.0402307183046475) q[2];
rz(0.45881386111561984) q[2];
rx(2.6660160818095573) q[3];
rz(-0.8348269885217028) q[3];
rx(-0.05567905775948906) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IIIZIIIZI",
"IZIIIIIZI",
"IIZIZIIII",
"IIIZZIIII",
"IZIIZIIII",
"IIIIZIZII",
"IZIIIZIII",
"IIIIZZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIZIIIIII",
"ZIIIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"IIIIZIIII",
"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,
-1,
-0.5,
0,
-0.5,
-1,
-2,
0,
-0.5
] | 0.975456 | [
-0.02584256908872494,
0.061225136831174226,
0.3400058701810029,
0.012619588431480339,
3.0402307183046475,
0.47937415321588894,
2.6660160818095573,
-0.5452991992670699,
-0.05567905775948906,
0.06642306343055465,
3.175261602118013,
0.008502367951981504,
2.7801555134095355,
0.1257672206678167... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 20 |
74a9039e61abdfc370e0e9ccbda58085 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 5}]} | {"states": [46, 45], "expectation_value": -3.999899063456072, "params": null, "bitstrings": ["010001", "010010"], "total_optimization_steps": 27, "probabilities": [1.641445749207698e-05, 0.9999303761353509], "optimization_time": 22.458964824676514} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + 0.0 * Z(3) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["010010"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.477440440231795) q[0];
ry(-0.06728346725284151) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.022464637706429983) q[2];
ry(-0.14026191198045032) q[3];
rz(-pi) q[3];
h q[4];
h q[5];
ry(-0.5587307208019142) q[5];
cx q[4], q[5];
ry(0.5587307208019142) q[5];
cx 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(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IZIIIZ",
"IIZIZI",
"ZIIIZI",
"ZZIIII",
"IIIZZI",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIZIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
0,
-0.5,
0
] | 0.985036 | [
-1.51259205572021,
-1.455297284188031,
-1.5790493769346474,
1.477440440231795,
-1.1174614416038284,
0.8138164984265778,
-0.3239264793788754,
0.4355121917407859,
-0.29038767173572155,
-0.09643115070804845,
-0.028423175133358375,
0.06490628447523733,
0.1641152818115272,
-0.1905830969119133,
... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -2.625,
"target_ratio": 0.97,
"target_value": -2.54625
} | 1 |
556646997941224666 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[2, 4], [2, 3], [3, 4], [1, 3], [0, 2]]} | {"states": [6, 25], "expectation_value": -0.022821084618497134, "params": [[0.0522], [-0.0441]], "bitstrings": ["11001", "00110"], "total_optimization_steps": 10, "probabilities": [0.03211541518667088, 0.03211541518667088], "optimization_time": 0.3847217559814453} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -0.5, "smallest_bitstrings": ["00110", "01100", "11001", "01101", "10010", "10011"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(0.6861067644482508) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(0.6861067644482508) q[3];
cx q[4], q[3];
cx q[2], q[3];
rz(0.6861067644482508) q[3];
cx q[2], q[3];
cx q[2], q[0];
rz(0.6861067644482508) q[0];
cx q[2], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(x0) q[1];
cx ... | null | {"circuits": [], "gradients": []} | [
"ZIZII",
"ZZIII",
"IZZII",
"IZIZI",
"IIZIZ",
"ZIIII",
"IIZII",
"IZIII",
"IIIZI",
"IIIIZ"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.623814 | [
0.6861067644482508,
-2.2682159810895165e-8,
-0.6913049016128124
] | {
"n_parameters": 3,
"n_qubits": 5,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 91 |
-3614570496999955581 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[8, 10, 4], [1, 3, 4, 9], [1, 3, 6, 8, 9, 10], [1, 2, 7, 9, 10], [0, 5, 6], [3, 4, 5, 6, 7], [1, 3, 7], [8, 9, 0], [2, 4], [0, 1, 2, 7]]} | {"states": [1629, 1627], "expectation_value": -2.1559559932779466, "params": [1.4872, 1.4888000000000001, 1.4858, 1.4854, 0.28650000000000003, 0.2793, 0.6535000000000001, 0.6674, 1.4758, 1.4914, 0.6509, 0.6686000000000001, 1.491, 1.4857, 1.4714, 1.4878, 0.5548000000000001, 0.5215000000000001, 1.4874, 1.4946000000000002... | 0.19999999999999998 * (Z(8) @ Z(10)) + 0.16666666666666666 * (Z(4) @ Z(10)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.08333333333333334 * (Z(1) @ Z(10)) + 0.03333333333333333 * (Z(1) @ Z(8)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.03333333333333333 * (Z(3) @ Z(10)) + 0.03333333333333333 * (Z(3) @ Z(8)) + 0.1333333333... | 14 | 11 | 1 | {"smallest_eigenvalues": [-2.9333333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8500000000000005, "smallest_bitstrings": ["00110100100"], "largest_eigenvalue": 9.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.5965275095370375) q[0];
rz(pi/2) q[0];
ry(1.279786820588686) q[1];
ry(-0.051478459511387464) q[2];
ry(0.12369684353684704) q[3];
ry(1.0729863324816549) q[4];
ry(-0.09446063236366273) q[5];
ry(1.5133054706995017) q[6];
ry(1.5938405096377386) q[7];
ry(0.093245667747... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"ZIZIIIIIIII",
"ZIIIIIZIIII",
"IIZIIIZIIII",
"ZIIIIIIIIZI",
"IIZIIIIIIZI",
"IIIIIIZIIZI",
"ZIIIIIIZIII",
"IIZIIIIZIII",
"IIIIIIZZIII",
"IIIIIIIZIZI",
"ZZIIIIIIIII",
"IZZIIIIIIII",
"IZIIIIZIIII",
"IZIIIIIIIZI",
"IZIIIIIZIII",
"ZIIIZIIIIII",
"IIZIZIIIIII",
"IIIIZIZIIII",
"IIIIZIIII... | [
0.19999999999999998,
0.16666666666666666,
0.16666666666666666,
0.08333333333333334,
0.03333333333333333,
0.08333333333333333,
0.03333333333333333,
0.03333333333333333,
0.13333333333333333,
0.2833333333333333,
0.08333333333333334,
0.19999999999999998,
0.08333333333333333,
0.1666666666666666... | 0.971894 | [
1.5965275095370375,
1.279786820588686,
-0.051478459511387464,
0.12369684353684704,
1.0729863324816549,
-0.09446063236366273,
1.5133054706995017,
1.5938405096377386,
0.0932456677471527,
1.8064248189748104,
0.9875178798018752,
1.2516438033270558,
1.1358418911017538,
0.14655531435261016,
0.... | {
"n_parameters": 44,
"n_qubits": 11,
"optimal_eigenvalue": -2.9333333333333336,
"target_ratio": 0.97,
"target_value": -2.8453333333333335
} | 37 |
c86f9ec7eec6446b2b675d70d15f99d1 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7}, {"source": ... | {"states": [0, 511], "expectation_value": -6.8685073840543405, "params": [0.37010000000000004, 0.11220000000000001, -0.3069, 0.2732, 0.3934, 0.131, 0.0049, 0.0546, 0.42560000000000003, 0.21450000000000002, 0.3002, 0.15230000000000002, 0.4302, 0.1437, 0.3163, 0.2917, 0.4307, -0.1343, 0.399, -0.08850000000000001, 0.4349,... | -1.0 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(5)) + -1.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(1)) + -1.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(1) + 0.5 * Z(8) + 0.5 * Z(9) + -0.5 * Z(0) | 6 | 10 | 3 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rz(-0.5189434641081592) q[0];
ry(2.4178374830412526e-08) q[0];
rz(2.0897397909030557) q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-3.141592662259253) q[2];
cx q[3], q[2];
rz(-1.57079634536655) q[2];
rx(-1.5707963477900353) q[2];
rz(-1.57079634536655) q[3];
rx(-1.57... | 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": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIZZII",
"IIIIZZIIII",
"IIZZIIIIII",
"IZIIIIIIZI",
"ZIIIIIIIZI",
"ZZIIIIIIII",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIZIIIIIII",
"IIIZIIIIII",
"IIIIIIIIZI",
"IZIIIIIIII",
"ZIIIIIIIII",
"IIIIIIIIIZ"
] | [
-1,
-1,
-1,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.619048 | [
-3.141592662259253,
-1.5707963630801334,
-1.5707963453665497,
-1.5707963387864754,
-1.5707963477900353
] | {
"n_parameters": 5,
"n_qubits": 10,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 152 |
0541faf635a6399f550a5b5935bfa17a | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [732, 733], "expectation_value": -2.0143543047671373, "params": [0.6829000000000001, 0.15330000000000002, 0.09230000000000001, 0.5089, 0.9844, 0.2544, 0.9969, -0.0046, 0.3446, 0.3992, 0.9627, 0.1912, 0.7591, 0.0056, 0.9932000000000001, 0.0129, 0.09960000000000001, 0.4969, 0.6282, 0.24750000000000003, 0.6487,... | 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(... | 16 | 10 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100010100", "0011000010", "1000001001", "0010011000", "0100100010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2586347423333518) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.2586347423333518) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2586347423333518) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(0.2586347423333518) q[2];
cx q[3], q[2];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIIZZIIZ",
"IIIIZIZIIZ",
"IIIIZZIIIZ",
"IIIIZZZIII",
"IIIIZZZIIZ",
"IIZZIIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IZZZIIIIII",
"IIIIIIZIZI"... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.2... | 0.849143 | [
0.2586347423333518,
-0.9522193741903392,
-0.4483492681819256,
-1.0023321824572908,
0.8794944450881496,
-1.7734914868935794,
-1.1441282434786142,
-0.46313879118016416
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 241 |
f20b14ccaf46fd91ed39b9c05edbe906 | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 1, "target"... | {"states": [27893, 27869], "expectation_value": -10.087038169201568, "params": null, "bitstrings": ["001001100001010", "001001100100010"], "total_optimization_steps": 100, "probabilities": [0.05891426767628512, 0.8469469874667618], "optimization_time": 498.077246427536} | 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": [-10.249999999999993], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.249999999999929, "smallest_bitstrings": ["001001100100010"], "largest_eigenvalue": 30.750000000000135} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-pi) q[0];
ry(-3.041947219049351) q[0];
h q[1];
ry(1.6318833541680478) q[1];
h q[2];
ry(-0.7379926998527211) q[2];
h q[3];
h q[4];
ry(0.8376298721779702) q[4];
cx q[1], q[4];
ry(-0.8376298721779702) q[4];
cx q[1], q[4];
h q[5];
ry(-0.7147883140515682) q[5];
h q[6];
... | null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[15] c;\nqubit[15] 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];\nry(1.5708) q[14];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measu... | [
"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,
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0.5,
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0.25,
0.25,
0.5,
0.5,
1.25,
1.25,
1.25,
1.25,
1.25,
1.2... | 0.991552 | [
1.626920252534508,
1.6318833541680478,
1.6752597443559405,
1.4055255953993955,
-1.4295766281031363,
1.526293908737557,
1.4857719885790526,
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1.5056411906827167,
-0.1302135460495614,
0.288295705195563,
0.02259902731407358,
0.052822537266667954,
0.02672121721962814,
-0.1... | {
"n_parameters": 24,
"n_qubits": 11,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
b45c7886b6d5b695cfa484b65d1853c9 | 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": 5}, {"source": 1, "target": 7}, {"source": 2, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 6}, {"source": 4, "ta... | {"states": [235, 234], "expectation_value": -2.392736884831678, "params": [0.6085, 0.0021000000000000003, 0.543, -0.0014, 0.5977, 0.0166, 0.1621, 0.32180000000000003, 0.6012000000000001, 0.0789, -0.018000000000000002, 0.37320000000000003, 0.6016, 0.0553, 0.5086, 0.0623, 0.6065, 0.0026000000000000003, 0.5443, 0.0091, 0.... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(5) + 0.0 * Z(0) + -0.5 * Z(7) + 0.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + 0.0 * Z(6) + 0.0 * Z(4) | 3 | 8 | 3 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["00010101", "01010100"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.419855414980338) q[0];
rz(1.5728238051068182) q[0];
rx(0.6168999630961257) q[1];
rz(1.6148013944901427) q[1];
rx(0.5784713014337503) q[2];
rz(1.5235208984243354) q[2];
rx(-0.04990436730747234) q[3];
rz(1.6550043527142044) q[3];
rx(0.8102674074275424) q[4];
rz(1.565... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIZIIIIZ",
"ZIZIIIII",
"ZIIIIIZI",
"IIZIIZII",
"IIIIZZII",
"IZIIZIII",
"IIZZIIII",
"IIZIIIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-0.5,
0,
-0.5,
-0.5,
0,
0
] | 0.975991 | [
0.419855414980338,
0.0020274783119211826,
0.6168999630961256,
0.04400506769524628,
0.5784713014337504,
-0.04727542837056066,
-0.04990436730747233,
0.08420802591930777,
0.8102674074275424,
-0.005019262422138349,
0.2061948880285953,
0.012185179702996658,
-0.00976837391968921,
0.2499908932083... | {
"n_parameters": 89,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 24 |
cde6b48ed870286595c1455af7aff8bd | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}, {"source": 2, "target": 3}]} | {"states": [2813, 2805], "expectation_value": -4.584653072034126, "params": [2.2855000000000003, 0.0032, 1.2059, 0.0022, 3.1408, 0.009000000000000001, 1.1905000000000001, 0.0061, 2.1829, 0.001, 3.1569000000000003, 0.006500000000000001, 3.1458, 0.0036000000000000003, 3.1462000000000003, 0.0061, 1.5707, 0.0004, 2.2075, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 18 | 12 | 1 | {"smallest_eigenvalues": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -5.25, "smallest_bitstrings": ["100001010001", "010001100010", ... | 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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIZIIZIIIIII",
"IZIIZIIIIIII",
"IZZIIIIII... | [
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,
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0.75,
0.75,
1.25,
1.25,
1.25,
0.75,
0.75,
0.75,
0.75,
0.75,
0.75
] | 0.989 | [
1.5946656311860272,
1.4546236341953724,
-1.3915392123108226,
-1.043543998175015,
-0.7696115407594695,
0.5858465026550362,
0.5980335866172003,
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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 |
89c7521d0f4383e77e73ec35feb14209 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 8, "source": 0, "t... | {"states": [205, 109], "expectation_value": -15.424896800244515, "params": [[-0.0434, 0.0568, 0.044700000000000004], [0.07690000000000001, -0.028200000000000003, -0.0437]], "bitstrings": ["00110010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.01292999616860855, 0.013999251282792812], "optimization... | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 8.5 * Z(0) + 11.0 * Z(2) + 13.0 * Z(1) + 2.0 * Z(3) + 7.5 * Z(4) + 12.5 * Z(5)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-60.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 123.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(1.525456717572838e-08) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(1.525456717572838e-08) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(1.525456717572838e-08) q[1];
cx q[2], q[1];
h q[3];
cx q[1], q[3];
rz(1.525456717572838e-08) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIZZIII",
"IIZIIIIZ",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
8.5,
11,
13,
2,
7.5,
12.5,
7.5,
11.5
] | 0.866667 | [
1.525456717572838e-8,
-1.5707962774125008,
1.5707963024967688,
1.570796304761946,
-1.5707963129315194,
1.5707963204272015,
1.570796296373383,
-1.5707963391592898,
-1.5707963344480793
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -60,
"target_ratio": 0.97,
"target_value": -58.199999999999996
} | 248 |
-6975250947239387511 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 6], [0, 2, 5], [1, 2, 4, 5], [3, 4], [0, 1, 2, 4, 6], [1, 5, 6], [2, 3, 6]]} | {"states": [122, 58], "expectation_value": -2.0247579213392166, "params": [2.3697, 0.769, 1.5435, 0.0079, 2.2368, 0.0193, 0.9048, 0.007, 2.3103000000000002, -0.019200000000000002, 0.7916000000000001, 0.0058000000000000005, 2.3373, 0.0333, 0.8148000000000001, 0.0054, -0.003, 1.486, -0.003, 0.004, 1.4406, -0.1957, 1.6133... | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.3833333333333333 * (Z(6) @ Z(1)) + 0.05 * (Z(0) @ Z(1)) + 0.05 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.13333333333333333 * (Z(2) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(6)) + 0.21666666666666667 * (Z(2) @ Z(0)) + 0.25 * (Z(... | 5 | 7 | 1 | {"smallest_eigenvalues": [-2.0833333333333335, -2.0833333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.9500000000000006, "smallest_bitstrings": ["0001010", "1000101"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(-0.0030633008494074404) q[1];
cx q[3], q[1];
h q[4];
h q[5];
h q[6];
cx q[3], q[6];
rz(-0.9272673386071678) q[6];
cx q[3], q[6];
cx q[1], q[6];
cx q[3], q[2];
rz(-0.0030633008494074404) q[2];
cx q[3], q[2];
cx q[3], 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": []} | [
"IIIZIZI",
"ZIIZIII",
"ZIIIIZI",
"IIIIIZZ",
"ZIIIIIZ",
"IIIZZII",
"IIIIZZI",
"ZIIIZII",
"IIIIZIZ",
"IZIIIZI",
"ZZIIIII",
"IZIIIIZ",
"IZIIZII",
"IIZZIII",
"IIZIIZI",
"ZIZIIII",
"IIZIIIZ",
"IIZIZII",
"IZZIIII",
"IIIZIII",
"IIIIIZI",
"ZIIIIII",
"IIIIIIZ",
"IIIIZII",
"IZI... | [
0.16666666666666666,
0.3333333333333333,
0.3833333333333333,
0.05,
0.05,
0.16666666666666666,
0.13333333333333333,
0.21666666666666667,
0.21666666666666667,
0.25,
0.16666666666666666,
0.16666666666666666,
0.25,
0.5,
0.13333333333333333,
0.05,
0.05,
0.13333333333333333,
0.08333333... | 0.833132 | [
-0.0030633008494074404,
-0.9272673386071678,
-0.002775666635918985,
0.0007032803208384783,
-0.00002678643658915993,
-0.0006486632865159301,
-0.000002414304745018424,
-0.04026405654265131,
-0.00006468993994661478,
-1.5709791182612352,
1.5085738723375905,
1.5703457082249315,
-1.570559741444322... | {
"n_parameters": 15,
"n_qubits": 7,
"optimal_eigenvalue": -2.0833333333333335,
"target_ratio": 0.97,
"target_value": -2.0208333333333335
} | 347 |
dc8ac5f82febba9dcace181eb5c76eb3 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": ... | {"states": [7, 13], "expectation_value": -3.7294447851887655, "params": [[0.0584, 0.042100000000000005, 0.0606, 0.030000000000000002], [-0.0674, -0.0345, -0.0538, -0.0391]], "bitstrings": ["111000", "110010"], "total_optimization_steps": 10, "probabilities": [0.03649550667245432, 0.03649550667245432], "optimization_tim... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 *... | 12 | 6 | 4 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000", "110010"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.009159858931667007) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.009159858931667007) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.009159858931667007) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.009159858931667007) q[4];
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[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
1.75,
1.75,
1.75,
1.75,
1.75,
2,
2,
1.75,
2,
2,
2,
2,
2,
2,
1.75,
-0.75,
-1,
-0.5,
-0.5,
-0.5,
-0.25
] | 0.813356 | [
0.009159858931667007,
0.12494940013551502,
-0.9996743752342083,
-1.0785898614158156,
0.2672658208067165,
1.0891742212764537,
-1.2802161128055969,
0.024697662159371404,
0.6853541264808383,
-0.33614577142982505,
-0.6001841465958335,
0.46393008337570263,
0.1161236905431224,
-0.536284086667138... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 415 |
2811d61d5f2af44ed340d40c20ed9351 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [14, 7], "expectation_value": -4.9890656587998095, "params": null, "bitstrings": ["1110001", "1111000"], "total_optimization_steps": 31, "probabilities": [0.06023624493013055, 0.8645378003119564], "optimization_time": 34.669222354888916} | 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(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * Z(1) + -2.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(5) + -0.5 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100101", "1101100", "1111000", "1110001"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.008865039116866) q[0];
rz(0.046061827352180805) q[0];
ry(-0.1178852825250914) q[1];
rz(0.27829789344262645) q[1];
cz q[1], q[0];
ry(0.7395785684145371) q[0];
rz(0.25930506959302635) q[0];
ry(1.8785794145123382) q[1];
ry(-0.013192767967563551) q[2];
rz(-0.168361338... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IZIIIZI",
"IZIIIIZ",
"ZIIIIIZ",
"ZIIZIII",
"IIZIIZI",
"IIZIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-2,
-1,
-1,
-0.5,
-0.5,
-0.5
] | 0.97575 | [
1.008865039116866,
0.046061827352180805,
-0.1178852825250914,
0.27829789344262645,
-0.013192767967563551,
-0.16836133853821558,
0.7624316037340955,
-0.08143741373555383,
0.0010459890769583327,
-0.22073670180141544,
0.6737350169334692,
0.06213864785606113,
-0.11555027206492512,
0.0518644535... | {
"n_parameters": 117,
"n_qubits": 11,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 91 |
73590e0e5e64cdd17befd03fc27853a5 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [0, 15], "expectation_value": -2.614084023742953, "params": [[-0.0651], [0.064]], "bitstrings": ["111111111", "111110000"], "total_optimization_steps": 10, "probabilities": [0.0036714899896583553, 0.003882933049109442], "optimization_time": 0.7436301708221436} | -3.0 * (Z(0) @ Z(2)) + -3.0 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(0)) + -3.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + 1.5 * (Z(1) @ Z(4)) + -3.0 * (Z(3) @ Z(2)) + 1.5 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(1)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + 1.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-31.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.5, "smallest_bitstrings": ["111110000"], "largest_eigenvalue": 30.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.04583033828396429) q[0];
rz(1.6138586562166921) q[0];
rx(-0.059996572660692) q[1];
rz(1.573334775656587) q[1];
rx(-0.0458303382839643) q[2];
rz(1.7767071757916568) q[2];
rx(0.045312756374250834) q[3];
rz(1.8148866702682813) q[3];
rx(0.08229869778972002) q[4];
rz(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;
input float[64] x7;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(x0) q[0];
... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZIIIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIZZIII",
"IIIIIZIZI",
"IIZZIIIII",
"ZIZIIIIII",
"ZIIZIIIII",
"IZZIIIIII",
"IZIZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIIIZI",
"IIIIIZIII",
"... | [
-3,
-3,
-2.5,
-3,
1,
1.5,
-3,
1.5,
-3,
-2.5,
-2,
1,
-2,
-2,
1,
-2,
2.5,
-2.5,
-2.5,
-2.5,
-2.5,
0.5,
0.5,
0.5,
0.5
] | 0.971175 | [
-0.045830338283964295,
0.043062329421795484,
-0.059996572660692,
0.0025384488616893254,
0.20591084899676113,
0.045312756374250834,
0.24409034347338418,
0.08229869778972,
0.8496014426242205,
0.0522568778751146,
-0.04202387422906294,
-0.30841973506389575,
0.5309295797059977,
2.24600873443702... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -31.5,
"target_ratio": 0.97,
"target_value": -30.555
} | 5 |
0f1d9308b8b1d06d30bfa4de6cbc9040 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [50, 56], "expectation_value": -4.999937482230923, "params": null, "bitstrings": ["001101", "000111"], "total_optimization_steps": 26, "probabilities": [1.6356491498964233e-05, 0.9999687417494828], "optimization_time": 23.524609565734863} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -1.5 * Z(4) + -1.0 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["000111"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.6230010565610689) q[0];
rz(0.06856754591903558) q[0];
rx(0.05228651755820995) q[1];
rz(0.2247192988641979) q[1];
rx(0.623001056561069) q[2];
rz(0.422733719531101) q[2];
rx(-0.04142085028007082) q[3];
rz(0.5561544826034971) q[3];
rx(0.03278011693440643) q[4];
rz(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIZIIZ",
"ZIZIII",
"ZIIIIZ",
"IIZIZI",
"IZZIII",
"ZZIIII",
"IZIIZI",
"IIZZII",
"ZIIZII",
"IZIZII",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IZIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1.5,
-0.5,
-1.5,
-1
] | 0.972312 | [
0.623001056561069,
0.312284130557242,
0.05228651755820995,
0.2247192988641979,
0.422733719531101,
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0.5561544826034971,
0.03278011693440643,
0.14994131830223134,
0.8695450938462626,
1.3203077449435106,
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0.2783265346359588,
0.09648654899272954,
1.0... | {
"n_parameters": 113,
"n_qubits": 10,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 27 |
7045b11d9eb140d2e8e06a7ee0e1d0cd | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [3535, 3533], "expectation_value": -2.8559770854685307, "params": [0.7794000000000001, 0.7767000000000001, 0.7637, 0.7359, -0.0114, 0.0429, 0.7785000000000001, 0.7744000000000001, 0.7098, 0.7096, 0.4913, 0.4703, 0.0432, 0.0405, 0.1516, 0.166, 0.7778, 0.7795000000000001, 0.7129000000000001, 0.6945, 0.1734, 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)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(6)) + -0.125 * (Z(... | 14 | 12 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 36, "first_excited_energy": -2.5, "smallest... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.798431979915152) q[0];
rz(-0.17275331495276713) q[0];
rx(1.3666548082043841) q[1];
rz(-0.31277238259750534) q[1];
cx q[1], q[0];
rz(0.08864831119230795) q[0];
cx q[1], q[0];
rx(0.8659713299684549) q[0];
rz(0.024715793281333553) q[0];
rz(0.21586385189252139) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZZZ",
"IIIIIIIZZIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIIIZZZIII",
"IIIIIZIZZIII",
"IIIIIZZIZIII",
"IIIIIZZZIIII",
"IIIIIZZZZIII",
"IIIIZIIIZIII",
"IIIZIIIIZIII",
"IIZIIIIIZ... | [
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.... | 0.976346 | [
0.798431979915152,
-0.08410500376045883,
1.3666548082043841,
-0.31277238259750534,
-0.01681220261025767,
0.24468889229174143,
0.864024809545449,
0.2698839902591586,
0.8626935579031989,
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0.9085917211537792,
0.29292665515296057,
0.1148664652370519,
-0.5203810048903249,
... | {
"n_parameters": 100,
"n_qubits": 12,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 26 |
-4619862998776359120 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 6], [1, 2, 3, 4], [0, 3, 5], [0, 2], [3, 4, 5], [2, 3, 5, 6]]} | {"states": [27, 58], "expectation_value": -2.094460958464844, "params": null, "bitstrings": ["1100100", "1000101"], "total_optimization_steps": 36, "probabilities": [0.06145946132022098, 0.8487345337233041], "optimization_time": 46.24501872062683} | 0.5 * (Z(1) @ Z(6)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(6)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9999999999999998, "smallest_bitstrings": ["1000101"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[1];
rz(1.54236151491352) q[1];
cx q[6], q[1];
cx q[6], q[2];
rz(0.01581714487964365) q[2];
cx q[6], q[2];
cx q[1], q[2];
rz(0.01581714487964365) q[2];
cx q[1], q[2];
cx q[6], q[3];
rz(0.01581714487964365... | 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(1.4977) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"ZIIIIZI",
"ZIIIZII",
"IIIIZZI",
"ZIIZIII",
"IIIZIZI",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IIZZIII",
"IIIIZIZ",
"IIIZIIZ",
"ZZIIIII",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"IZIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII"
] | [
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.25,
0.5,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.41666666666666663,
0.16666666666666666,
0.1666666666666666... | 0.723418 | [
1.54236151491352,
0.01581714487964365,
-0.014794011735081287,
0.3338608787371555,
0.04497897889293749,
0.0020050184640697495,
1.3924073482301014,
-0.5920263388055412,
1.535395392144066,
-0.8788385350192631
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -2.166666666666667,
"target_ratio": 0.97,
"target_value": -2.101666666666667
} | 236 |
6c729dfd5e7001e3a38620bc1dd3c2de | 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": 2}, {"source": 2, "target": 4}, ... | {"states": [462, 334], "expectation_value": -1.7174454595528361, "params": [0.47740000000000005, 0.48550000000000004, 0.2867, 0.2862, 0.49670000000000003, 0.49960000000000004, 0.2044, 0.2089, -0.0023, 0.0013000000000000002, 0.4975, 0.5002, 0.498, 0.5045000000000001, 0.49560000000000004, 0.505, 0.215, 0.2051, 0.4882, 0.... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 14 | 9 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["010010011", "010110001", "000111001"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.10758269301838308) q[0];
cx q[3], q[0];
h q[4];
cx q[0], q[4];
rz(0.10758269301838308) q[4];
cx q[0], q[4];
cx q[4], q[2];
rz(0.10758269301838308) q[2];
cx q[4], q[2];
rz(1.0158526286770417) q[4];
rx(-0.660651681254974... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIZZIIII",
"IIZIZIIII",
"IZIIZIIII",
"IIZZIIIII",
"IZIZIIIII",
"IZZIIIIII",
"IIZZZIIII",
"IZIZZIIII",
"IZZIZIIII",
"IZZZIIIII",
"... | [
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,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.125,
-0.125,
0.125,
-0.125,
-0.625,
-0.125,... | 0.977959 | [
0.10758269301838308,
1.0158526286770422,
-1.0830236518770011,
-0.7797930592220781,
0.7529332076282363,
-0.6606516812549744,
-0.1660913770954591,
0.09088404394185104,
-0.5392296610982585,
-0.7289087446503865,
-0.6129435813348304,
0.3486533609480895,
0.5287619526337042,
0.17317995659263544,
... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 39 |
b426b8aff164c6823b185eb6b091738d | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, {"source": 4, "target": 3}, {"source": ... | {"states": [56, 7], "expectation_value": -4.113542948424648, "params": [[-0.0669, -0.049300000000000004, -0.0511, -0.0252], [0.0772, 0.0631, 0.0694, 0.0665]], "bitstrings": ["000111", "111000"], "total_optimization_steps": 10, "probabilities": [0.04303738574503206, 0.04494181762772304], "optimization_time": 6.931887865... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 14 | 6 | 4 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(3.146586182667847) q[0];
rz(-0.4960671937553839) q[0];
ry(-0.1292922814490114) q[1];
rz(-0.6985758714498361) q[1];
cz q[1], q[0];
ry(0.043070532367504924) q[1];
ry(-0.04475695876475132) q[2];
rz(0.6631600359423698) q[2];
ry(0.5756435583956447) q[3];
rz(-0.14283149628... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
2,
2,
1.75,
2,
2,
1.75,
2,
1.75,
-0.5,
-0.75,
-0.75,
-0.5,
-0.5,
-0.5
] | 0.988667 | [
3.146586182667847,
-0.4960671937553839,
-0.1292922814490114,
-0.6985758714498361,
-0.04475695876475132,
0.6631600359423698,
0.5756435583956447,
-0.14283149628386937,
0.09442180069266345,
2.7246196860446945,
0.021535266183752462,
3.2207334379454498,
-1.152313102082496,
-0.5291711248863585,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 27 |
f8645113517905e1df1749520352d679 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 6}, {"weight": 15, "source": 1, "target": 4}, {"weight": 7, "source": 2, "tar... | {"states": [476, 220], "expectation_value": -13.992609589792709, "params": [[-0.028900000000000002, 0.0528, 0.0286], [0.0582, -0.04, -0.030100000000000002]], "bitstrings": ["000100011", "100100011"], "total_optimization_steps": 10, "probabilities": [0.005163149189848793, 0.0068108936522093605], "optimization_time": 5.9... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 6.0 * Z(1) + 5.0 * Z(0) + 12.0 * Z(2) + 8.0 * Z(4) + 8.0... | 1 | 9 | 3 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 130.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.10923383720549897) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.10923383720549897) q[2];
cx q[0], q[2];
rz(1.2299948032833266) q[0];
rx(1.0879082958788673) q[0];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.10923383720549897) q[3];
cx q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIZIIZIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
6,
5,
12,
8,
8,
17.5,
12,
6.5,
1
] | 0.859958 | [
0.10923383720549897,
-1.810537491794332,
1.229994803283326,
-1.6856305727411314,
-0.8120803734240312,
-1.7336898352556895,
1.3051021389879203,
1.3879897866400888,
1.0879082958788673,
-0.4710384321704608,
1.265319859463496,
-0.1555024889011401,
0.4251206411461428,
-0.2861529194851915,
-0.... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -71,
"target_ratio": 0.97,
"target_value": -68.87
} | 500 |
504aff5065c6904e02914f6b44da8a9c | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 6, "source": 2, "target": 3}, {"capaci... | {"states": [3, 15], "expectation_value": -7.689657391094378, "params": null, "bitstrings": ["111100", "110000"], "total_optimization_steps": 47, "probabilities": [0.14579950848333692, 0.7379678494460287], "optimization_time": 35.234882831573486} | -1.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(2)) + -1.0 * Z(1) + -0.25 * Z(0) + 1.5 * Z(4) + 0.25 * Z(5) + 0.0 * Z(2) + -0.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["111100", "110000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(2.218465923766839) q[0];
ry(0.042765624136427545) q[0];
rz(-0.8061052524417334) q[0];
rz(-1.0112966743957195) q[1];
ry(0.07111683196512385) q[1];
rz(2.066693006610179) q[1];
rz(2.322581491682673) q[2];
ry(0.018049925652938198) q[2];
rz(-0.6171351577780197) q[2];
rz(-... | 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[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIIZZ",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZZIIII",
"IZIZII",
"IIZIZI",
"IZZIII",
"IIZZII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
-1.25,
-0.5,
-1,
2,
-0.75,
-0.5,
-0.75,
-0.75,
-2.5,
-1,
-0.25,
1.5,
0.25,
0,
-0.5
] | 0.977881 | [
0.02681023544117119,
1.2949933238767635,
-0.04194887284367421,
1.1182076517744217,
0.012354700342274504,
1.5034941811146303,
1.3630154095874347,
-1.2292150948427067,
-0.139794753745842,
1.624751878363779,
0.02009940461632976,
0.11702147738122079,
-0.06360297258389466,
0.20187600412910067,
... | {
"n_parameters": 18,
"n_qubits": 6,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 6 |
0615486ccb356b09654d7a8dd1e9f354 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3... | {"states": [1, 3], "expectation_value": -10.099070166304266, "params": null, "bitstrings": ["1111110", "1111100"], "total_optimization_steps": 24, "probabilities": [0.4114150901330255, 0.4258530156110788], "optimization_time": 23.35705804824829} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(4)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-10.75, -10.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1111110", "1111100"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.007324372560228134) q[0];
rz(-0.3217446099573232) q[0];
rx(-0.32112615429581043) q[1];
rz(0.2552145491671141) q[1];
rx(0.05797674138136179) q[2];
rz(-0.45678662559611716) q[2];
rx(0.05797674138136179) q[3];
rz(-0.1372770562752476) q[3];
rx(-0.17000396403266071) q[... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.5681) 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... | [
"IIIIIZZ",
"IIZIIZI",
"IIZIIIZ",
"IIIIZZI",
"IIZIZII",
"IIIZIZI",
"IIZZIII",
"IIIZZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IZIIIII"
] | [
-0.75,
-1,
-0.75,
-0.75,
-0.25,
-1.5,
-0.75,
-1.25,
-0.25,
1.75,
-0.5,
-0.75,
-0.25,
-0.25,
0.5,
-0.75,
-1,
1,
0.75
] | 0.97204 | [
-0.007324372560228134,
-0.3217446099573232,
-0.32112615429581043,
0.2552145491671141,
0.05797674138136179,
-0.45678662559611716,
-0.1372770562752476,
-0.17000396403266071,
1.27681703400942,
0.03300015164953574,
2.905576028200642,
-0.0747657468147398
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -10.75,
"target_ratio": 0.97,
"target_value": -10.4275
} | 8 |
2788372475551906712 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 3, 7], [1, 2, 5], [2, 3, 4, 7], [4, 5, 6, 7], [0, 4], [3, 5], [8, 1, 5]]} | {"states": [335, 245], "expectation_value": -0.9181472090084795, "params": [[-0.38780000000000003], [0.37870000000000004]], "bitstrings": ["010110000", "100001010"], "total_optimization_steps": 40, "probabilities": [0.00730969914575686, 0.007608179432810143], "optimization_time": 4.654650449752808} | 0.25 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(8)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(3)) + 0.08333333333333333 * (Z(2) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3333333333333335, "smallest_bitstrings": ["100001010"], "largest_eigenvalue": 5.999999999999998} | 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[1], q[8];
rz(-1.40601309838076) q[8];
cx q[1], q[8];
cx q[1], q[3];
rz(2.297497529158634e-09) q[3];
cx q[1], q[3];
cx q[1], q[7];
rz(2.297497529158634e-09) q[7];
cx q[1], q[7];
cx q[1], q[2];
r... | 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": []} | [
"ZIIIIIIZI",
"IIIIIZIZI",
"ZIIIIZIII",
"IZIIIIIZI",
"ZZIIIIIII",
"IZIIIZIII",
"IIIIIIZZI",
"IIIIIZZII",
"IZIIIIZII",
"IIIZIIIZI",
"ZIIZIIIII",
"IIIZIZIII",
"IZIZIIIII",
"IIIZIIZII",
"IIIIZZIII",
"IZIIZIIII",
"IIIIZIZII",
"IIIZZIIII",
"IZZIIIIII",
"IIZZIIIII",
"IIZIZIIII",
"... | [
0.25,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.3333333333333333,
0.16666666666666666,
0.5,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.1... | 0.898762 | [
-1.40601309838076,
2.297497529158634e-9,
2.6117861701762867e-8,
-1.044293732483858e-7,
-3.141592586744646,
1.5707964038237388,
-1.570796555240329,
-1.5707962676161829,
-1.5707963446635396,
1.570796203877371,
1.570796268839486
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -2.333333333333334,
"target_ratio": 0.97,
"target_value": -2.2633333333333336
} | 312 |
86f7cf811774c9dc1f8ac7ebefafd51c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": 3, "target": 4}]} | {"states": [28, 35], "expectation_value": -0.366318711991928, "params": [[-0.065, -0.0465, -0.023, -0.0106], [0.082, 0.0738, 0.0557, 0.0339]], "bitstrings": ["100011", "011100"], "total_optimization_steps": 10, "probabilities": [0.023225182689024224, 0.023618150449401496], "optimization_time": 3.690805196762085} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(5) + 0.0 * Z(2) + -0.5 * Z(3) + 0.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.5, "smallest_bitstrings": ["010011", "010101", "011100", "100011", "100101"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-3.0790389152662755e-08) q[0];
cx q[1], q[0];
rz(1.5707962985663944) q[0];
rx(1.5707963327959067) q[0];
h q[2];
cx q[1], q[2];
rz(-1.5707963227011057) q[2];
cx q[1], q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(-3.0790389152662755e-08) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"ZIIIZI",
"ZIIZII",
"ZIZIII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1,
0,
-0.5,
0
] | 0.833806 | [
-3.0790389152662755e-8,
-1.5707963227011057,
-2.208195592934281,
1.5707962985663946,
-0.09859111269968171,
1.5707963327959067
] | {
"n_parameters": 6,
"n_qubits": 5,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 168 |
6669382969482181801 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[2, 6, 8, 10, 12], [8, 0, 4], [8, 2, 11], [0, 2, 7, 11, 12], [1, 4, 5, 8, 10], [0, 3, 4, 5, 9, 10, 11], [1, 10, 12], [3, 7], [11, 1, 2, 10], [9, 2], [3, 5, 6, 9, 10, 11, 12], [0, 3, 6, 9, 10, 12], [2, 5], [5, 7], [3, 4, 5, 9, 10, 11, 12], [2, 3, 12, 6... | {"states": [3039, 3035], "expectation_value": -5.117503242070378, "params": [0.8295, 0.7738, 1.2999, 1.5927, 0.1885, 0.1796, 1.5761, 1.5754000000000001, 1.5868, 0.8308000000000001, 1.4932, 1.3135000000000001, 1.0972, 0.634, 0.13720000000000002, 0.017, 1.5794000000000001, 1.5830000000000002, 1.1365, 1.1360000000000001, ... | 0.18333333333333335 * (Z(2) @ Z(6)) + 0.3833333333333333 * (Z(8) @ Z(6)) + 0.21666666666666667 * (Z(8) @ Z(2)) + 0.15714285714285714 * (Z(10) @ Z(6)) + 0.13333333333333333 * (Z(10) @ Z(2)) + 0.1 * (Z(10) @ Z(8)) + 0.19047619047619047 * (Z(12) @ Z(6)) + 0.18333333333333335 * (Z(12) @ Z(2)) + 0.05 * (Z(12) @ Z(8)) + 0.29... | 14 | 13 | 1 | {"smallest_eigenvalues": [-6.142857142857143], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.107142857142857, "smallest_bitstrings": ["1010000100100"], "largest_eigenvalue": 22.500000000000007} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(-0.04326035370764432) q[0];
rz(pi/2) q[0];
ry(1.2471141617840726) q[1];
ry(0.4551690426154708) q[2];
ry(2.032601611512957) q[3];
ry(1.1911727584839058) q[4];
ry(1.4233368287072952) q[5];
ry(-0.2236714089842395) q[6];
ry(0.38674541916321376) q[7];
ry(1.73978779916286... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIZIIIZII",
"IIIIZIZIIIIII",
"IIIIZIIIIIZII",
"IIZIIIZIIIIII",
"IIZIIIIIIIZII",
"IIZIZIIIIIIII",
"ZIIIIIZIIIIII",
"ZIIIIIIIIIZII",
"ZIIIZIIIIIIII",
"ZIZIIIIIIIIII",
"IIIIIIZIIIIIZ",
"IIIIIIIIIIZIZ",
"IIIIZIIIIIIIZ",
"IIZIIIIIIIIIZ",
"ZIIIIIIIIIIIZ",
"IIIIIIZIZIIII",
"IIIIIIIIZIZ... | [
0.18333333333333335,
0.3833333333333333,
0.21666666666666667,
0.15714285714285714,
0.13333333333333333,
0.1,
0.19047619047619047,
0.18333333333333335,
0.05,
0.29761904761904767,
0.16666666666666669,
0.1,
0.25,
0.05714285714285714,
0.16666666666666669,
0.18333333333333335,
0.05,
0.3... | 0.977121 | [
-0.04326035370764432,
1.2471141617840726,
0.4551690426154708,
2.032601611512957,
1.1911727584839058,
1.4233368287072952,
-0.2236714089842395,
0.38674541916321376,
1.7397877991628614,
1.230314514023191,
2.5886364410068547,
1.3414625130901012,
1.142743232730414,
-0.4130480823649522,
0.5937... | {
"n_parameters": 52,
"n_qubits": 13,
"optimal_eigenvalue": -6.142857142857143,
"target_ratio": 0.97,
"target_value": -5.958571428571429
} | 54 |
34fec832591d56601cbd146a15fec9ed | 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": 4, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 4}, {"weight": 18, "source": 1, "target": 3}, {"weight": 16, "source": 1, "target": 4}, {... | {"states": [235, 122], "expectation_value": -23.792319446139665, "params": null, "bitstrings": ["00010100", "10000101"], "total_optimization_steps": 100, "probabilities": [0.17065210880582868, 0.1899243564462108], "optimization_time": 172.84209394454956} | 4.0 * (Z(0) @ 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(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 13.5 * Z(1) + 10.0 * Z(0) + 17.0 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 142.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.08399526504899095) q[0];
rz(0.2825788937886795) q[0];
rx(0.7951459296419685) q[1];
rz(0.2003437432581271) q[1];
rx(1.0221893354097433) q[2];
rz(-0.3092263127594003) q[2];
rx(1.0231214214866293) q[3];
rz(0.10389188217607151) q[3];
rx(0.970134509765303) q[4];
rz(0.1... | 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(-3.4097) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIZII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
10,
17,
20,
13.5,
5,
5,
6
] | 0.974076 | [
-0.08399526504899095,
0.11179873042160347,
0.7951459296419685,
0.2003437432581271,
1.0221893354097433,
-0.3092263127594003,
1.0231214214866293,
0.10389188217607151,
0.970134509765303,
0.1704895690175754,
0.36114319075678797,
0.4543183591063792,
0.6989834795043587,
-0.038232563756867066,
... | {
"n_parameters": 93,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 9 |
d2e3f71e5c020057da0dd1812bdf6517 | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 20, "source": 0, "target": 2}, {"weight": 6, "source": 1, "target": 2}, {"weight": 15, "source": 1, "target... | {"states": [9, 6], "expectation_value": -1.588127682973794, "params": null, "bitstrings": ["0110", "1001"], "total_optimization_steps": 17, "probabilities": [0.1721830324863317, 0.6568759212517967], "optimization_time": 6.688779830932617} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": 0.0, "smallest_bitstrings": ["1001", "0110"], "largest_eigenvalue": 2.0} | 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... | null | {"start_node": 0, "end_node": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncry(-1.0342) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh... | [
"IIZZ",
"IZIZ",
"ZIZI",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
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 |
109dd65f843c7effe1b685156edca6d7 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "ta... | {"states": [131, 7], "expectation_value": -22.144854728520976, "params": null, "bitstrings": ["01111100", "11111000"], "total_optimization_steps": 91, "probabilities": [0.061083088251108565, 0.5844873633809463], "optimization_time": 228.70805668830872} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + ... | 6 | 8 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.020614379663043705) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.020614379663043705) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.020614379663043705) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.020614379663043705) q[3];
cx q[1], ... | null | {"k": 5} | {"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(-0.197) 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[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIZIIIZI",
"IIZIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
2.75,
2.75,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
-7,
-7.5,
-7.25,
-7,
-7,
-6.5,
-6.5,
-6.25
] | 0.971073 | [
0.020614379663043705,
-0.06563921442885634,
-0.6869657315794282,
-1.4972446815351845,
-1.3570263320892326,
0.5300986815983618,
0.06960159444877413,
-0.23523052806335437,
-0.03648713290377981,
-0.028121845837364642,
-0.9009106158759526,
-0.10227264967403488,
-0.5108808338805213,
0.830325209... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 70 |
e5362bdf5e727045ae0e3b514af6e6e2 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [44, 29], "expectation_value": -9.606446295553518, "params": null, "bitstrings": ["010011", "100010"], "total_optimization_steps": 43, "probabilities": [0.10828730374394173, 0.8327087190411567], "optimization_time": 31.852271795272827} | -0.25 * (Z(0) @ Z(2)) + -1.0 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(5)) + 1.25 * Z(2) + -0.25 * Z(0) + -2.5 * Z(4) + 0.0 * Z(1) + -0.5 * Z(5) + 2.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["100010"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.6613510471018691) q[0];
h q[1];
ry(0.6363557243035431) q[1];
h q[2];
ry(0.8762410042703717) q[2];
h q[3];
ry(1.5797614988899453) q[3];
h q[4];
ry(-1.3227020942037382) q[4];
h q[5];
cx q[5], q[0];
ry(0.6613510471018691) q[0];
cx q[5], q[0];
ry(-0.1472698311... | 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[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... | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"IZIIZI",
"ZIIIIZ",
"ZIIIZI",
"IIZZII",
"IIZIZI",
"ZIZIII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"ZIIIII",
"IIZIII"
] | [
-0.25,
-1,
-1.25,
-0.75,
1.75,
-1,
-0.5,
-1.25,
-1.25,
1.25,
-0.25,
-2.5,
0,
-0.5,
2
] | 0.973802 | [
-1.3227020942037382,
1.5797614988899453,
1.7411868845926435,
-0.2945396623583815,
1.2727114486070863,
0.4993285531882329,
1.7524820085407433,
-0.23870673944423812,
-0.4358087178782579,
0.06835119046574256,
-0.27794874849023343,
-0.29686600510111416,
0.5459314081296203,
-0.5128761408398687,... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 64 |
5ce236cf319210d2582c544b33b006c6 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [94, 158], "expectation_value": -61.89509734837393, "params": [1.0447, 0.7972, 0.8528, -0.4771, 0.0007, -0.6693, 1.0779, 0.006500000000000001, 1.0463, 0.0149, 1.05, 0.0155, 1.1569, -0.2533, -0.0032, -0.6268, 0.49520000000000003, 1.1372, 0.37260000000000004, 0.2, 0.0018000000000000002, -1.1288, 1.082, -0.0021... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(7) @ Z(6)) + 0.0 * Z(0) + 2.0 * Z(1) + 8.0 * Z(2) + 5.5 * Z(4) + 12.0 * Z(3) + 14.0 * Z(5) + 16.0 * Z(6) + 10.5 *... | 18 | 8 | 3 | {"smallest_eigenvalues": [-66.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["01100001"], "largest_eigenvalue": 133.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(1.9424299166410666) q[0];
rz(pi/2) q[0];
ry(-0.023371596697962155) q[1];
ry(0.4789348500081499) q[2];
ry(0.9675080524061791) q[3];
ry(0.7899920177725304) q[4];
ry(1.2271968192807021) q[5];
ry(1.186600002597537) q[6];
ry(0.4275169783428991) q[7];
cx q[7], q[0];
ry(0.1... | 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], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIZII",
"IIIIZZII",
"IIIZZIII",
"IIZIIIZI",
"IZIIIZII",
"IZZIIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
0,
2,
8,
5.5,
12,
14,
16,
10.5
] | 0.979575 | [
1.9424299166410666,
-0.023371596697962155,
0.4789348500081499,
0.9675080524061791,
0.7899920177725304,
1.2271968192807021,
1.186600002597537,
0.4275169783428991,
-0.31403494934743387,
-0.08588121817822403,
0.2342012010148205,
0.9003287689962267,
-0.16541950198066271,
0.4164264048554136,
... | {
"n_parameters": 32,
"n_qubits": 8,
"optimal_eigenvalue": -66,
"target_ratio": 0.97,
"target_value": -64.02
} | 18 |
dc8ac5f82febba9dcace181eb5c76eb3 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 5}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 5}, {"weight": 1, "... | {"states": [2710, 1385], "expectation_value": -0.08517188625616208, "params": [[0.17900000000000002], [-0.17200000000000001]], "bitstrings": ["010101101001", "101010010110"], "total_optimization_steps": 20, "probabilities": [0.00034108568496595844, 0.0003410856849659587], "optimization_time": 5.416673183441162} | 0.25 * (Z(0) @ Z(1)) + -0.001020408163265306 * (Z(2) @ Z(0)) + -0.001020408163265306 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.000510204081632653 * (Z(4) @ Z(0)) + -0.001020408163265306 * (Z(4) @ Z(2)) + 0.000510204081632653 * (Z(5) @ Z(1)) + -0.001020408163265306 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00025510204... | 5 | 12 | 1 | {"smallest_eigenvalues": [-1.514540816326532], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5145408163265315, "smallest_bitstrings": ["101010010110"], "largest_eigenvalue": 1.5170918367346933} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.009159858931667007) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.009159858931667007) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.009159858931667007) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.009159858931667007) q[4];
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] 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[12] c;
qubit[12] q;
h q[0];
h q[1];
... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.001020408163265306,
-0.001020408163265306,
0.25,
0.000510204081632653,
-0.001020408163265306,
0.000510204081632653,
-0.001020408163265306,
0.25,
0.0002551020408163265,
0.0003826530612244898,
0.0002551020408163265,
0.0002551020408163265,
0.0003826530612244898,
0.00025510204081632... | 0.813356 | [
0.009159858931667007,
0.12494940013551502,
-0.9996743752342083,
-1.0785898614158156,
0.2672658208067165,
1.0891742212764537,
-1.2802161128055969,
0.024697662159371404,
0.6853541264808383,
-0.33614577142982505,
-0.6001841465958335,
0.46393008337570263,
0.1161236905431224,
-0.536284086667138... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 415 |
8ed7cc91faf8f25841f02066a68a347e | 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": 4, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 4... | {"states": [64, 63], "expectation_value": -0.007829916728359518, "params": [[-0.006, 0.0154], [0.0045000000000000005, -0.0015]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.007836332559178536, 0.00783762654302022], "optimization_time": 31.7683265209198} | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(6)) + -0.75 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(4)) + -0.75 * (Z(5) @ Z(6)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.0 * Z(2) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(1.2166224269295487e-08) q[0];
h q[0];
rx(-4.703941950630459e-08) q[1];
h q[1];
rx(1.0471278675330475) q[2];
h q[2];
rx(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] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIZIIZI",
"IIZIZII",
"ZIZIIII",
"IIIZZII",
"ZIIZIII",
"IIZZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIZIIII",
"IIIZIII",
"IZIIIII"
] | [
-1,
-0.75,
-1.5,
-1,
2.75,
-1,
-1.5,
-1,
-0.75,
-1,
-1.5,
-0.75,
-1.25,
-0.25,
0,
-1,
1.5,
0.25,
0.75
] | 0.65 | [
1.2166224269295487e-8,
-4.703941950630459e-8,
1.0471278675330475,
1.2694902564808772,
-0.4424797841444536,
1.333973771782864,
1.4117920327011293,
0.8124159459374324,
2.2415472708782914e-8,
-1.494340033644694,
1.5729220330218228e-7,
0.44247981073379616,
4.2241866926873623e-8,
0.381873338045... | {
"n_parameters": 25,
"n_qubits": 7,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 446 |
93141c357d164fcf2a36ba666f8f01e3 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 2, "target": 3}, {"source": 1, "target": 3}]} | {"states": [1782, 1774], "expectation_value": -7.309224779390528, "params": [0.0523, 0.6196, 1.0812000000000002, 0.2436, 0.7044, -0.007500000000000001, 0.044700000000000004, 0.6079, 1.0403, 0.25270000000000004, 0.7873, 0.0429, 0.7789, -0.0025, 0.7108, 0.3393, 0.7044, 0.1822, 0.8505, 0.0009000000000000001, 1.0481, -0.01... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 16 | 12 | 4 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.75, "smallest_bitstrings": ["100100001010", "001001100010", "010010100001", "010010001100", "001001010100", "100100010001"], "largest_eigenvalue": 23.25} | 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] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIZIIIIIIIIZ",
"IIZIIZIIIIII",
"IIZIIIIIZ... | [
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,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1.25,
1.25,
1.25,
1,
1,
1,
1.25,
1.25,
1.25
] | 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 |
62d59a2c57c5a5e03bc57aa993d43fe2 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 15, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}, {"... | {"states": [111, 109], "expectation_value": -55.854435832180286, "params": [0.6716000000000001, 0.0022, 2.8932, 0.0032, 2.8935, 0.0022, 1.4093, 0.009000000000000001, 2.8985000000000003, 0.0061, 2.9039, 0.001, 1.4914, 0.006500000000000001, 2.8929, 0.0036000000000000003, 0.007500000000000001, 0.0061, 0.0032, 0.0004, 0.00... | 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(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 15.5 * Z(1) + 1.5 * Z(0) + 15.5 * ... | 18 | 8 | 1 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.0525935599156801) q[0];
rz(0.2970493753315515) q[0];
ry(-0.05280238195070901) q[1];
ry(1.9145293619602348) q[2];
ry(0.11896541183831788) q[3];
ry(1.6776262128736183) q[4];
ry(1.5989812940360673) q[5];
ry(1.6042391584874556) q[6];
ry(0.26475625811985654) q[7];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIZII",
"IIZIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
15.5,
1.5,
15.5,
8.5,
5.5,
22,
7,
8
] | 0.981549 | [
-0.0525935599156801,
-0.05280238195070901,
1.9145293619602348,
0.11896541183831788,
1.6776262128736183,
1.5989812940360673,
1.6042391584874556,
0.26475625811985654,
0.594098750663103,
-0.5369054493384858,
-0.1577385704159672,
0.24970879240192104,
0.9304805543958563,
0.24429898188147828,
... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 12 |
477891dfe500747d074cc216ddf9357a | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1333, 1301], "expectation_value": -90.58946765505688, "params": [0.0024000000000000002, 0.4524, 0.5983, 0.1149, 0.3583, 0.2887, 0.6046, 0.0848, 0.3804, 0.1988, 0.0349, 0.27890000000000004, 0.3536, 0.1365, 0.6068, 0.0129, 0.0035, 0.40290000000000004, 0.5935, 0.0747, 0.3241, 0.19110000000000002, 0.5999, 0.002... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(6) @ Z(1)) + 7.5 * (Z(5) @ Z(7)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(11) @ Z(4)) + 7.5 * (Z(10) @ Z(11)) + 7.5 * (Z(9) @ Z(1)) + 7.5 * (Z(9) @ Z(6)) + 7.5 * (Z(9) @ Z(11)) + 7.5 * (Z(9) @ Z(10)) + 3.0 * Z(2) + 17.0 * Z(1) + 9.5 * Z(3) + 4.0 * Z(4) ... | 18 | 12 | 4 | {"smallest_eigenvalues": [-145.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -125.5, "smallest_bitstrings": ["101011101010"], "largest_eigenvalue": 182.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.2079895517717148) q[0];
rz(0.3541425123181732) q[0];
rx(0.8644518966036531) q[1];
rz(0.09757776163546208) q[1];
rx(0.026434089635348976) q[2];
rz(0.5519925204596416) q[2];
rx(0.6847802737030054) q[3];
rz(0.17251267104269677) q[3];
rx(0.035954516336258555) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIIIIIZZII",
"IIIIIIIZZIII",
"IIIIIZIIIIZI",
"IIIIZIZIIIII",
"IIIZZIIIIIII",
"ZIIIIIIZIIII",
"ZZIIIIIIIIII",
"IIZIIIIIIIZI",
"IIZIIZIIIIII",
"ZIZIIIIIIIII",
"IZZIIIIIIIII",
"IIIIIIIIIZII",
"IIIIIIIIIIZI",
"IIIIIIIIZIII",
"IIIIIIIZIIII",
"IIIIIZIIIIII",
"IIIIZIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
3,
17,
9.5,
4,
3,
9,
-2.5,
-6.5,
16.5,
2.5,
22.5,
-14.5
] | 0.977198 | [
-0.20798955177171477,
0.5357484566287751,
0.8644518966036531,
0.09757776163546208,
0.026434089635348976,
0.5519925204596416,
0.6847802737030054,
0.17251267104269677,
0.035954516336258555,
0.08751207330728734,
0.2069723002275712,
0.24601844667222778,
0.20563276355140056,
0.08649295271629345... | {
"n_parameters": 137,
"n_qubits": 12,
"optimal_eigenvalue": -145.5,
"target_ratio": 0.97,
"target_value": -141.135
} | 20 |
d45a5bc179495544dab1e6a4ef51a643 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [34, 72], "expectation_value": -3.7044407863549402, "params": [[-0.163, -0.1641], [0.1627, 0.167]], "bitstrings": ["1011101", "0110111"], "total_optimization_steps": 20, "probabilities": [0.03379123951978179, 0.033791239519781816], "optimization_time": 4.537626504898071} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(1) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.5, "smallest_bitstrings": ["0110111", "1111100", "1011101", "1101110", "1111001", "0101111", "0111011"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-1.558254369440666) q[1];
ry(-0.05392714133518371) q[2];
rz(-pi) q[2];
h q[3];
ry(-1.558254369440666) q[3];
h q[4];
ry(1.5289183849698342) q[4];
h q[5];
ry(-0.4651683149926473) q[5];
cx q[0], q[5];
ry(0.4651683149926473) q[5];
cx q[0], q[5];
ry(1.2006... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IZIIIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIIIZZI",
"IZIIZII",
"IIIZIZI",
"IZIZIII",
"ZIIZIII",
"IIIZZII",
"IIZIIZI",
"ZIZIIII",
"IIZIZII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-1,
-1.5,
-1.5,
-2,
-1.5
] | 0.998624 | [
-1.558254369440666,
-1.4393427660055051,
1.5289183849698342,
-0.9303366299852946,
0.8724376731091251,
-0.6346230622382955,
0.656468118180627,
-0.5255464825948177,
-0.07680432474932339,
-0.15505283890841562,
0.11630815878878276,
-0.19506638343682717,
0.07595014109877707
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
6206337d7d1967e1d98c4b708b2f9aeb | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [9, 44], "expectation_value": -0.8464860654968361, "params": [[0.042800000000000005, 0.0514, 0.07830000000000001], [-0.021500000000000002, -0.0285, -0.060700000000000004]], "bitstrings": ["110110", "010011"], "total_optimization_steps": 10, "probabilities": [0.02046870690946713, 0.022960715288272086], "optim... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -2.0 * Z(1) + -1.0 * Z(0) + -2.0 * Z(4) + -1.5 * Z(5) + -0.5 * Z(2) + -1.0 * Z... | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["010011"], "largest_eigenvalue": 13.5} | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIZI",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZZIIII",
"IIIZZI",
"IZIZII",
"IIZIZI",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-2,
-1.5,
-0.5,
-1
] | 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 |
5453c2513a3015ff34fdf7af0c17d479 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [56, 7], "expectation_value": -5.759229055549098, "params": [[0.06770000000000001, 0.0545], [-0.0787, -0.0689]], "bitstrings": ["1000111", "1111000"], "total_optimization_steps": 10, "probabilities": [0.018086340131614215, 0.01911830111312336], "optimization_time": 5.086971282958984} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 16 | 7 | 2 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.006822705804027614) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.006822705804027614) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.006822705804027614) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.006822705804027614) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
-3.25,
-3.75,
-3.25,
-3.25,
-3,
-3,
-3
] | 0.979266 | [
-0.006822705804027614,
-0.0569835674757276,
1.6413660952290756,
1.6445943010417547,
-1.210190329393257,
1.272917394365843,
0.13825878583450213,
0.06605299930301477,
-0.18109136526066744,
-0.3332332317372449,
-1.3079642609617461,
0.48354866790017953,
-0.3444589912231889,
0.9797977022594652,... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 96 |
5b9a084198e0b36a60e2522bb7034639 | 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": [78, 79], "expectation_value": -82.87923766440204, "params": [[[0.8073, 0.018000000000000002], [0.0341, 0.018000000000000002], [0.8961, 0.7975], [-0.0049, 0.8923000000000001], [-0.4158, 0.6402], [-0.0007, 0.894], [0.1269, 0.8954000000000001], [0.8267, 0.8470000000000001], [0.6517000000000001, 0.6745]], [[0.6... | 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(7) @ Z(2)) + 7.0 * (Z(7) @ Z(0)) + 7.0 * (Z(5) @ Z(1)) + 7.0 * (Z(5) @ Z(7)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(4) @ Z(6)) + 7.0 * (Z(8) @ Z(1)) + 7.0 * (Z(8) @ Z(5)) + 17.0 * Z(2) + 1.5 * Z(0) + 8.0 * Z(1) + 23.5 * Z(7) + 22.5 * Z(5) + 15.0 * Z(6... | 15 | 9 | 3 | {"smallest_eigenvalues": [-97.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "smallest_bitstrings": ["110110000"], "largest_eigenvalue": 177.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.1748238398732271) q[0];
ry(0.21016978863949265) q[1];
ry(1.17012149758813) q[2];
ry(-0.061848907599673014) q[3];
ry(-0.5944306547354703) q[4];
ry(-0.250375013036981) q[5];
ry(0.02288025399451618) q[6];
ry(1.1189863980411434) q[7];
ry(0.7280149593414827) q[8];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IZIIIIZII",
"IZIIIIIIZ",
"IIIZIIIZI",
"IZIZIIIII",
"IZZIIIIII",
"IIZZIIIII",
"IIZIZIIII",
"ZIIIIIIZI",
"ZIIZIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IZIIIIIII",
"IIIZIIIII",
"IIZIIIIII",
"IIIIZIIII",
"ZIIIIIIII",
"IIIIIZIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
17,
1.5,
8,
23.5,
22.5,
15,
-4.5,
6.5,
-11
] | 0.972576 | [
1.1748238398732271,
0.21016978863949265,
1.17012149758813,
-0.061848907599673014,
-0.5944306547354703,
-0.250375013036981,
0.02288025399451618,
1.1189863980411434,
0.7280149593414827,
-0.00955351840725354,
0.48073429298632875,
0.6029637027288512,
0.8484826316409213,
1.2799262021825681,
0... | {
"n_parameters": 53,
"n_qubits": 9,
"optimal_eigenvalue": -97.5,
"target_ratio": 0.97,
"target_value": -94.575
} | 55 |
b8aaab24da0004c3e40ded7e0da30763 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [5, 1], "expectation_value": -0.7620342901184649, "params": [[0.06770000000000001, 0.0545], [-0.06380000000000001, -0.0463]], "bitstrings": ["1111010", "1111110"], "total_optimization_steps": 10, "probabilities": [0.011913219857115544, 0.012683669216062251], "optimization_time": 2.397202253341675} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(3)) + 2.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.5 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) + -0.25 * Z(5) + 2.0 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-0.04755975372679777) q[0];
rz(-pi) q[1];
ry(-0.16357168903548214) q[1];
rz(-pi) q[2];
ry(-0.16357168903548214) q[2];
h q[3];
ry(-1.6848675864644589) q[3];
ry(-0.05392656744408793) q[4];
rz(-pi) q[4];
ry(-0.08761228669430021) q[5];
rz(-pi) q[5];
h 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IZIIIIZ",
"IZIZIII",
"ZIIIIIZ",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.75,
2.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
2
] | 0.995678 | [
1.5124481082497874,
-1.6848675864644589,
-1.7984235144880873,
-1.5128877401597436,
-1.43889529306715,
-0.15594893256731784,
0.05940740011829414,
0.13302301188552904,
0.12811099731541742
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 1 |
97f3061e12540289c99d9511cc095fa6 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [125, 93], "expectation_value": -75.0253189907422, "params": [0.0023, 0.5909, 0.1399, -0.02, 0.7632, -0.1763, 0.39180000000000004, -0.2948, 0.6979000000000001, 0.011600000000000001, 0.5917, 0.0323, 0.7863, -0.1744, 0.3336, -0.30970000000000003, 0.7859, -0.0184, 0.0037, 0.5926, 0.13440000000000002, -0.0118, 0... | 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(7)) + 5.0 * (Z(6) @ Z(8)) + 17.5 * Z(2) + -3.5 * Z(1) + 13.5 *... | 4 | 9 | 4 | {"smallest_eigenvalues": [-84.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["110100010"], "largest_eigenvalue": 169.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.15022518373571236) q[0];
rz(2.2308808625861367) q[0];
rx(0.27145770034509104) q[1];
rz(1.780710401858002) q[1];
rx(0.6326540890174012) q[2];
rz(1.669235857765429) q[2];
rx(0.050231960542145807) q[3];
rz(1.3432991573552506) q[3];
rx(0.9010721252186978) q[4];
rz(1.5... | 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], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IZIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIZIIZIII",
"IZZIIIIII",
"ZIZIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIZIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
17.5,
-3.5,
13.5,
20,
16,
7.5,
13,
14,
-6
] | 0.973435 | [
-0.15022518373571236,
0.6600845357912386,
0.2714577003450911,
0.20991407506310622,
0.6326540890174012,
0.09843953097053228,
0.0502319605421458,
-0.22749716943964626,
0.9010721252186977,
-0.004793717367307673,
0.8204544013117453,
0.17075687559585712,
0.779635749639919,
-0.40283823231636207,... | {
"n_parameters": 104,
"n_qubits": 9,
"optimal_eigenvalue": -84,
"target_ratio": 0.97,
"target_value": -81.48
} | 15 |
bc66253cf8720682f4eebbf8e558ad61 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [3, 11], "expectation_value": -9.204633213247385, "params": null, "bitstrings": ["111100", "110100"], "total_optimization_steps": 22, "probabilities": [0.21104498409550887, 0.21288599334318353], "optimization_time": 14.995560646057129} | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -1.25 * Z(1) + -0.25 * Z(0) + -2.25 * Z(3) + 0.75 * Z(2) + 1.5 * Z(5) + 1.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-10.25, -10.25, -10.25, -10.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.25, "smallest_bitstrings": ["111110", "111100", "110100", "110110"], "largest_eigenvalue": 13.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.714438572684436) q[0];
h q[1];
ry(-1.428877145368872) q[1];
h q[2];
h q[3];
ry(-1.428877145368872) q[3];
h q[4];
h q[5];
cx q[5], q[0];
ry(0.714438572684436) q[0];
cx q[5], q[0];
ry(-0.856357758661726) q[0];
cx q[4], q[0];
ry(4.239869943476942e-08) q[0];
c... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IIIZZI",
"ZIIIIZ",
"ZIZIII",
"IZIIZI",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IIIZII",
"ZIIIII",
"IZIIII"
] | [
-1.25,
-1.25,
-1,
-0.75,
2.5,
-1,
-0.5,
-1,
-1.25,
-0.25,
-2.25,
0.75,
1.5,
1.5
] | 0.921629 | [
-1.428877145368872,
1.5707963072208557,
-0.8563577162630266,
-8.479739886953884e-8,
7.260494688738796e-8,
-2.058158962333484e-8,
-4.1931091589049415e-8,
-2.6274812220416775e-8
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -10.25,
"target_ratio": 0.97,
"target_value": -9.942499999999999
} | 183 |
93141c357d164fcf2a36ba666f8f01e3 | edge_cover | 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}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [17, 25], "expectation_value": -0.6104672886377688, "params": [0.5048, 0.057, 0.43910000000000005, 0.1163, 0.19770000000000001, 0.1638, 0.19940000000000002, 0.17250000000000001, 0.4439, 0.1039, 0.5067, 0.04, 0.4375, 0.12250000000000001, 0.1981, 0.1655, 0.2006, 0.1726, 0.4409, 0.1119, 0.4995, 0.0028, 0.437100... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) | 18 | 5 | 4 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["00110", "01001"], "largest_eigenvalue": 4.0} | 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] 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": []} | [
"IIIZZ",
"IIZIZ",
"IIZZI",
"IIZZZ",
"IZIIZ",
"ZIIIZ",
"ZZIII",
"ZZIIZ",
"IZIZI",
"ZIZII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0,
-0.25,
-0.25,
-0.25,
-0.25
] | 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 |
d62a0f012823c70bafc442cdcec5fdce | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, ... | {"states": [58, 60], "expectation_value": -5.499898991259004, "params": null, "bitstrings": ["1000101", "1000011"], "total_optimization_steps": 35, "probabilities": [1.635025282474471e-05, 0.9999303721534422], "optimization_time": 29.954155921936035} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + -0.5 * Z(2) + -1.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -2.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1000011"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.3105151204328884) q[0];
ry(0.08089727571045902) q[1];
ry(0.9048574364107069) q[2];
ry(0.08809864031115719) q[3];
ry(0.7348749209376406) q[4];
ry(0.12917653925179115) q[5];
ry(1.1147073547551456) q[6];
ry(0.13401713527225573) q[7];
ry(1.4240180832510525) q[8];
ry(0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IZZIIII",
"IZIIIZI",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"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,
-0.5,
-1,
-1,
-0.5,
-2
] | 0.974049 | [
1.3105151204328884,
0.08089727571045902,
0.9048574364107069,
0.08809864031115719,
0.7348749209376406,
0.12917653925179115,
1.1147073547551456,
0.13401713527225573,
1.4240180832510525,
0.47521261077332716,
0.12263374629771834,
-0.058491515961990814,
1.4353321377390982,
-0.09199937117922938,... | {
"n_parameters": 29,
"n_qubits": 10,
"optimal_eigenvalue": -3.3125,
"target_ratio": 0.97,
"target_value": -3.213125
} | 22 |
07dc38d1dc363182151755eeee21e61e | 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": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, ... | {"states": [0, 127], "expectation_value": -3.1196085974666223, "params": [[0.0455, 0.0682, 0.0579, 0.059000000000000004], [-0.019, -0.054, -0.048, -0.0461]], "bitstrings": ["11111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.014606434095746546, 0.015579232159319629], "optimization_time": 7.4217... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(4)) + -1.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -1.25 * (Z(7) @ Z(1)) + 1.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(4)) + -2.25 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @... | 1 | 8 | 4 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(-5.135206862499014e-07) q[0];
h q[0];
rx(-1.0866163553076218e-07) q[1];
h q[1];
rx(0.0194805872738... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIZIIZ",
"IIIZIIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"IZIZIIII",
"IIZIIIZI",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIZZII",
"IIIZIZII",
"ZIIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZII"
] | [
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-1.25,
-1.5,
-1,
-1.25,
1.75,
-0.75,
-2.25,
-1,
-1.25,
0.5,
-0.25,
0,
1.5,
-0.25,
0,
-1.5,
0
] | 0.195652 | [
-5.135206862499014e-7,
-1.0866163553076218e-7,
0.019480587273897846,
0.977683709348563,
0.8263827168396609,
-0.12240171832566504,
-7.337275034990325e-8,
3.936838968556609e-7,
-1.8852554131208358e-7,
-0.019480723463502873,
-0.12064363564363532,
-0.20277298075242142,
0.12240156398596434,
-3.... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 500 |
-5657510331550772443 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 7], [0, 3, 5], [0, 1], [5, 6, 7], [3, 4, 6], [2, 3], [2, 4], [0, 5, 7], [2, 6, 7]]} | {"states": [95, 93], "expectation_value": -2.668157810372328, "params": [0.526, 0.0122, 0.4319, 0.0048000000000000004, 1.2983, -0.0037, 1.2985, 0.0086, 0.5117, -0.0018000000000000002, 0.30010000000000003, 0.009000000000000001, 1.2950000000000002, -0.0054, 1.2953000000000001, 0.0074, 1.2984, -0.006200000000000001, 1.294... | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(5) @ Z(7)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.16666666666... | 6 | 8 | 1 | {"smallest_eigenvalues": [-3.1666666666666656], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8333333333333344, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 7.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.01789417482296862) q[1];
cx q[2], q[1];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[7];
rz(-0.24664107306356448) q[7];
cx q[2], q[7];
cx q[1], q[7];
cx q[2], q[3];
rz(-1.1338875184477608) q[3];
cx q[2], q[3];
cx q[2], 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": []} | [
"IIIIIZZI",
"ZIIIIZII",
"ZIIIIIZI",
"IIIIIIZZ",
"ZIIIIIIZ",
"IIIIZZII",
"IIIIZIIZ",
"ZIZIIIII",
"IIZIIIIZ",
"IIZIZIII",
"IZIIIZII",
"ZZIIIIII",
"IZIIZIII",
"IZZIIIII",
"IIIZIZII",
"IIIZZIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIZI",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIII... | [
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
... | 0.575084 | [
0.01789417482296862,
-0.24664107306356448,
-1.1338875184477608,
-0.8506790618586308,
0.8262082625837507
] | {
"n_parameters": 5,
"n_qubits": 8,
"optimal_eigenvalue": -3.1666666666666656,
"target_ratio": 0.97,
"target_value": -3.0716666666666654
} | 158 |
eef64d2a5dbf018785bb2eafc31c3245 | 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": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 6, "source": 3, ... | {"states": [3, 15], "expectation_value": -1.3038458230157262, "params": [[-0.0322, -0.0419, -0.0125, 0.0117], [0.0357, 0.0563, 0.0291, 0.0091]], "bitstrings": ["11111100", "11110000"], "total_optimization_steps": 10, "probabilities": [0.0069079036180419015, 0.007554837762418273], "optimization_time": 11.160608530044556... | -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 | 4 | {"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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"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 |
50803b752054f0512687e537ee7368f9 | 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": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}]} | {"states": [0, 20], "expectation_value": -3.4999057430342013, "params": null, "bitstrings": ["11111", "01011"], "total_optimization_steps": 15, "probabilities": [1.7262809281757173e-05, 0.9999394817654882], "optimization_time": 6.49834942817688} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(2) + -1.0 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["01011"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-3.118963683468091) q[0];
ry(-0.017918109517936636) q[1];
rz(-pi) q[1];
h q[2];
ry(1.5232555292397325) q[2];
ry(-0.11982451051349112) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.0455035030484382) q[3];
cx q[2], q[3];
cx q[2], q[0];
ry(-0.07016976767686646) ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IZZII",
"ZIZII",
"IZIIZ",
"IIIZI",
"IIIIZ",
"IZIII",
"IIZII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-0.5,
-1
] | 0.997671 | [
-1.5523952299069044,
-1.4054683132329673,
1.5232555292397325,
-0.0910070060968764,
0.14033953535373292,
-0.02773759371322497,
-0.0009659747401112133
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
-3527975737942692035 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 10, 6], [2, 6], [0, 4, 5], [1, 7], [3, 11, 6], [9, 10, 11], [1, 6], [9, 4, 6], [0, 2, 11], [0, 8, 4], [8, 6], [3, 11, 5], [8, 3, 7], [1, 10, 3, 9], [8, 1, 11, 5]]} | {"states": [3981, 1933], "expectation_value": -4.673323589728002, "params": [[[1.5304, 0.006200000000000001, 0.0054, 0.0006000000000000001], [-0.0026000000000000003, -1.3121, 1.5733000000000001, 0.0035], [3.1398, 0.005200000000000001, 0.0094, 0.0059], [-0.0025, 1.462, 1.5732000000000002, 0.0047], [3.1396, 0.0051, 0.006... | 0.41666666666666663 * (Z(9) @ Z(10)) + 0.16666666666666666 * (Z(6) @ Z(10)) + 0.3333333333333333 * (Z(6) @ Z(9)) + 0.5 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(9)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(... | 12 | 12 | 1 | {"smallest_eigenvalues": [-4.833333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.583333333333334, "smallest_bitstrings": ["100001110010"], "largest_eigenvalue": 12.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.1357069560888524) q[0];
rz(0.23756175484559588) q[0];
ry(0.012541877547681962) q[1];
rz(-1.3192596699114996) q[1];
cz q[1], q[0];
ry(3.1360509942896013) q[1];
ry(3.088804991372944) q[2];
rz(-0.029966113061116254) q[2];
ry(0.10792999442235124) q[3];
rz(1.5717764365... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IZZIIIIIIIII",
"IZIIIZIIIIII",
"IIZIIZIIIIII",
"IIIIIZIIIZII",
"IIIIIIIIIZIZ",
"IIZIIIIZIIII",
"IIIIIZIZIIII",
"IIIIIIIZIIIZ",
"IIIIIIZIIIIZ",
"IIIIIIZZIIII",
"IZIIIIIIIIZI",
"IIZIIIIIIIZI",
"IIIIIZIIIIZI",
"IIIIIIZIIIZI",
"IIIIZIIIIIZI",
"IZIIIIIIZIII",
"IIZIIIIIZIII",
"IIIIIZIIZ... | [
0.41666666666666663,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.5,
0.08333333333333333,
... | 0.972179 | [
1.1357069560888524,
0.23756175484559588,
0.012541877547681962,
-1.3192596699114996,
3.088804991372944,
-0.029966113061116254,
0.10792999442235124,
1.57177643659382,
3.1943329052616867,
0.2712529233638873,
0.7569836082835292,
-0.09942186925848462,
0.11341314066184027,
-0.14419462694047414,
... | {
"n_parameters": 30,
"n_qubits": 12,
"optimal_eigenvalue": -4.833333333333332,
"target_ratio": 0.97,
"target_value": -4.688333333333332
} | 7 |
4eebe9a8a97a840077f78c3a170e65f1 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3... | {"states": [126, 63], "expectation_value": -6.249992734363122, "params": null, "bitstrings": ["0000001", "1000000"], "total_optimization_steps": 62, "probabilities": [7.986917857680569e-07, 0.9999977902380801], "optimization_time": 81.48418688774109} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.2761211352183031) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.13717878779095488) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(-0.2761211352183031) q[3];
cx q[1], q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(0.13808832036080526) q[5... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5486) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IZIIIIZ",
"IIIIZZI",
"IZIIZII",
"IIIZIZI",
"IZIZIII",
"IIIZZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZZIIIII",
"ZIIIZII",
"IIZIIZI",
"IZZIIII",
"IIZIZII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IIZIIII"
] | [
-0.5,
-0.25,
-0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-0.5,
1,
-0.5,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
0,
-0.25,
0.75,
-0.5,
0,
-0.5,
0.5
] | 0.959466 | [
-0.2761211352183031,
0.13808832036080526,
0.13717878779095488,
-0.2208905765275829,
-0.6091682224936915,
0.12825958314828695,
-0.6660683162981736,
1.4990730486084969,
-0.35178542503829574,
0.3184564914299048,
0.38589115212704433,
-0.5285511882352306,
-0.4855828621421047,
-0.654983086342713... | {
"n_parameters": 29,
"n_qubits": 7,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 500 |
504aff5065c6904e02914f6b44da8a9c | 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": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 6, "source": 2, "target": 3}, {"capaci... | {"states": [31, 15], "expectation_value": -0.7024591228723734, "params": [[0.07640000000000001], [-0.0724]], "bitstrings": ["100000", "110000"], "total_optimization_steps": 10, "probabilities": [0.02029270609501812, 0.020532952490297175], "optimization_time": 1.5210094451904297} | -1.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(2)) + -1.0 * Z(1) + -0.25 * Z(0) + 1.5 * Z(4) + 0.25 * Z(5) + 0.0 * Z(2) + -0.5 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["111100", "110000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(2.218465923766839) q[0];
ry(0.042765624136427545) q[0];
rz(-0.8061052524417334) q[0];
rz(-1.0112966743957195) q[1];
ry(0.07111683196512385) q[1];
rz(2.066693006610179) q[1];
rz(2.322581491682673) q[2];
ry(0.018049925652938198) q[2];
rz(-0.6171351577780197) q[2];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZZIIII",
"IZIZII",
"IIZIZI",
"IZZIII",
"IIZZII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
-1.25,
-0.5,
-1,
2,
-0.75,
-0.5,
-0.75,
-0.75,
-2.5,
-1,
-0.25,
1.5,
0.25,
0,
-0.5
] | 0.977881 | [
0.02681023544117119,
1.2949933238767635,
-0.04194887284367421,
1.1182076517744217,
0.012354700342274504,
1.5034941811146303,
1.3630154095874347,
-1.2292150948427067,
-0.139794753745842,
1.624751878363779,
0.02009940461632976,
0.11702147738122079,
-0.06360297258389466,
0.20187600412910067,
... | {
"n_parameters": 18,
"n_qubits": 6,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 6 |
aafba232bddbab68741369c28fd60f9f | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}]} | {"states": [1, 11], "expectation_value": -2.111497204216022, "params": [[0.0456, 0.069, 0.060700000000000004], [-0.0219, -0.050100000000000006, -0.0557]], "bitstrings": ["111110", "110100"], "total_optimization_steps": 10, "probabilities": [0.024591463422222383, 0.026452808748604523], "optimization_time": 4.63251852989... | 0.5 * (Z(0) @ Z(4)) + 2.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.25 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(1)) + 1.0... | 1 | 6 | 3 | {"smallest_eigenvalues": [-8.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.75, "smallest_bitstrings": ["110100"], "largest_eigenvalue": 25.25} | 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(-0.6059711361663426) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.002835582251174708) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(-0.6059711361663426) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(-0.01656... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IZIIIZ",
"ZZIIII",
"ZIIIIZ",
"IZIIZI",
"IIIIZZ",
"ZIIIZI",
"IZIZII",
"IIIZIZ",
"ZIIZII",
"IIIZZI",
"IZZIII",
"IIZIIZ",
"ZIZIII",
"IIZIZI",
"IIZZII",
"IZIIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIIZII",
"IIZIII"
] | [
0.5,
2,
1,
0.5,
0.25,
1,
-0.5,
-0.5,
-1,
-0.5,
-1,
-1,
-2,
-1,
1,
2.5,
0.5,
5,
0.5,
-1,
-2
] | 0.927765 | [
-0.6059711361663426,
0.002835582251174708,
-0.005892897267408092,
1.9673946829852578,
-0.016569426499993246,
0.0007364663076169241,
-1.7704792450087574,
-1.8455644619428733,
0.2451053747201248,
-1.3001258169311252,
-1.066059710326319,
0.0004593878512842986,
-0.01598779461431634,
1.89697250... | {
"n_parameters": 20,
"n_qubits": 6,
"optimal_eigenvalue": -8.75,
"target_ratio": 0.97,
"target_value": -8.487499999999999
} | 500 |
4c20f1c198d9974c2e06b7b7ac531193 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [123, 127], "expectation_value": -7.212035359874228, "params": null, "bitstrings": ["10000100", "10000000"], "total_optimization_steps": 77, "probabilities": [0.4078207215529959, 0.4078207215529959], "optimization_time": 96.2808985710144} | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + -1.25 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + 0.75 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(6)) + -0.5 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2) + 0.5 * Z(3) + 1.25 ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["10000000", "10000100"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.22157641917024928) q[0];
ry(0.00898152646378737) q[1];
ry(0.02472649820771007) q[2];
ry(0.05763287371265249) q[3];
ry(0.0036084805931868484) q[4];
ry(-0.04749337088044957) q[5];
ry(1.0911704212811806) q[6];
ry(0.2493891450036926) q[7];
cx q[7], q[0];
cx q[6], q[7]... | 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",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIIZ",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
-0.25,
-1.25,
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
-1.25,
-1,
0.75,
-1.25,
-0.5,
-0.25,
1.5,
0.5,
1.25,
-1,
-1,
-0.5
] | 0.971183 | [
-0.22157641917024928,
0.00898152646378737,
0.02472649820771007,
0.05763287371265249,
0.0036084805931868484,
-0.04749337088044957,
1.0911704212811806,
0.2493891450036926,
-0.9012942735590549,
-0.24745318900433683,
-0.01707069937213386,
-0.08040860354516637,
-0.03283962223876556,
0.089752880... | {
"n_parameters": 58,
"n_qubits": 8,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 51 |
23c6590e387f05fe94993d0724eddf92 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 5}, {"weight": 15, "source": 1, "target": 2}, {"weight": 15, "source": 1, "tar... | {"states": [250, 234], "expectation_value": -9.89574625390106, "params": [[0.039], [-0.060700000000000004]], "bitstrings": ["100000101", "100010101"], "total_optimization_steps": 10, "probabilities": [0.003504416572470273, 0.004262772754018852], "optimization_time": 2.1319706439971924} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-94.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.0, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 166.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.14501455624980522) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.14501455624980522) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(0.14501455624980522) q[2];
cx q[0], q[2];
rz(1.0344845210050462) q[0];
rx(0.21505856718922917) q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIZIIIZI",
"IIIZZIIII",
"IIZIIIIZI",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
18,
5,
16.5,
12,
2,
16,
6,
22.5,
0.5
] | 0.979007 | [
0.14501455624980522,
-1.1901499906840702,
1.034484521005045,
-1.1814458861271198,
-1.3843402858965694,
0.3911871449489383,
-0.9634332922169215,
-0.06329978252250862,
-1.6711687726871434,
0.7920633333394742,
0.21505856718922908,
-0.15099145941507233,
-0.33983126580977296,
0.6487549786021121... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -94,
"target_ratio": 0.97,
"target_value": -91.17999999999999
} | 65 |
93141c357d164fcf2a36ba666f8f01e3 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 2, "target": 3}, {"source": 1, "target": 3}]} | {"states": [3499, 2931], "expectation_value": -0.6787771287022821, "params": [[0.0611, 0.046900000000000004], [-0.048600000000000004, -0.044000000000000004]], "bitstrings": ["001001010100", "010010001100"], "total_optimization_steps": 10, "probabilities": [0.00033868986108222563, 0.000338689861082226], "optimization_ti... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 12 | 2 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.75, "smallest_bitstrings": ["100100001010", "001001100010", "010010100001", "010010001100", "001001010100", "100100010001"], "largest_eigenvalue": 23.25} | 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;
input float[64] x8;
input float[64] x9;
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 ... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIZIIIIIIIIZ",
"IIZIIZIIIIII",
"IIZIIIIIZ... | [
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,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1.25,
1.25,
1.25,
1,
1,
1,
1.25,
1.25,
1.25
] | 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 |
87c3ced1ef7832360d99a2d1828a4d93 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [5, 10], "expectation_value": -2.2411769032567657, "params": [[0.0736, 0.07250000000000001, 0.0751, 0.0653], [-0.0741, -0.0718, -0.0757, -0.06380000000000001]], "bitstrings": ["111010", "110101"], "total_optimization_steps": 10, "probabilities": [0.03638087169953598, 0.03929322801611881], "optimization_time"... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z... | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["111010", "011011", "110101", "110011"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.4782477501473996) q[0];
h q[1];
ry(-1.5459535955314039) q[1];
h q[2];
ry(1.4800481485142103) q[2];
h q[3];
h q[4];
ry(-0.5454937758325291) q[4];
cx q[3], q[4];
ry(0.5454937758325291) q[4];
cx q[3], q[4];
ry(1.138506081996272) q[3];
cx q[2], q[3];
ry(-0.287... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-1,
-1.5,
-1.5,
-0.5
] | 0.996543 | [
-1.5459535955314039,
-1.4782477501473996,
-1.4186720615587136,
1.4800481485142103,
-1.0909875516650582,
0.8505079669655212,
-0.6834200403916963,
0.5759962300615015,
-0.4282561884336213,
-0.15321027442284385,
0.11168667375280134,
-0.09145484919133856,
-0.015716916398529537
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
c34d168b40cedac8c51b4bc41709aff9 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [169, 167], "expectation_value": -30.889125721432986, "params": [[[0.4897, 0.1893], [0.49960000000000004, 0.2637], [0.44820000000000004, 0.2655], [0.49520000000000003, 0.34490000000000004], [0.2923, 0.4948], [0.16440000000000002, 0.48000000000000004], [0.43060000000000004, 0.4686], [0.32, 0.4892], [0.4852, 0... | 6.0 * (Z(2) @ Z(1)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(0) @ Z(6)) + 6.0 * (Z(7) @ Z(4)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(5) @ Z(7)) + 6.0 * (Z(8) @ Z(6)) + 6.0 * (Z(8) @ Z(0)) + 7.0 * Z(1) + 5.0 * Z(2) + 9.0 * Z(3) + 1.5 * Z(4) + 20.5 * Z(6) + 0.5 * Z(0) +... | 15 | 9 | 4 | {"smallest_eigenvalues": [-80.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.5, "smallest_bitstrings": ["101011000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.9987967158407556) q[0];
ry(0.8353916209583767) q[1];
ry(-0.10616541559565107) q[2];
ry(0.9746103584590966) q[3];
ry(0.09505552004876656) q[4];
ry(0.13389752407201283) q[5];
ry(0.970900660129325) q[6];
ry(0.06964791688955596) q[7];
ry(0.4044707001769382) q[8];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIZZIII",
"IIZIIIIIZ",
"IZIIZIIII",
"IZZIIIIII",
"IIIZIIIZI",
"IIZZIIIII",
"IZIZIIIII",
"ZIZIIIIII",
"ZIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIZIIIII",
"ZIIIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
7,
5,
9,
1.5,
20.5,
0.5,
11.5,
8.5,
6
] | 0.974478 | [
0.9987967158407556,
0.8353916209583767,
-0.10616541559565107,
0.9746103584590966,
0.09505552004876656,
0.13389752407201283,
0.970900660129325,
0.06964791688955596,
0.4044707001769382,
-0.0771066756522811,
-0.14863508653536434,
-0.08927625805232979,
0.11974115668487116,
0.22928021632922102,... | {
"n_parameters": 69,
"n_qubits": 9,
"optimal_eigenvalue": -80.5,
"target_ratio": 0.97,
"target_value": -78.085
} | 124 |
4788755b9046cb997ec5043a21f8c9e6 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 13, "source": 0, "target": 4}, {"weight": 17, "source": 1, "tar... | {"states": [366, 236], "expectation_value": -37.89171134271568, "params": null, "bitstrings": ["010010001", "100010011"], "total_optimization_steps": 100, "probabilities": [0.06937887547688923, 0.21790465421583316], "optimization_time": 215.64504265785217} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-98.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.0, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 192.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.03403160597780367) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.03403160597780367) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.03403160597780367) q[1];
cx q[0], q[1];
h q[3];
cx q[0], q[3];
rz(-0.03403160597780367) q[3];
cx q[0], ... | null | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-9.1684) 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] = ... | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZZIIIII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10,
5,
24.5,
22,
23,
5,
20.5,
9.5,
-4
] | 0.973244 | [
-0.03403160597780367,
-1.346127074484193,
1.576569062334897,
-1.9306515494972587,
-1.6352730170387917,
-1.6057071926812976,
-1.665909739693592,
1.224431153956964,
1.726462556839075,
1.4983459587508987
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -98,
"target_ratio": 0.97,
"target_value": -95.06
} | 40 |
03f82c0f8c82b2c5cf523b36fcfe2388 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": ... | {"states": [60, 63], "expectation_value": -2.5637007044973226, "params": [[-0.0845], [0.07780000000000001]], "bitstrings": ["1111000011", "1111000000"], "total_optimization_steps": 10, "probabilities": [0.002112101587104251, 0.0022182743915383583], "optimization_time": 4.3031041622161865} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(7)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * (Z(8) @ Z(9)) + -2.0 * Z(1) + 2.0 * Z(0)... | 1 | 10 | 1 | {"smallest_eigenvalues": [-27.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.5, "smallest_bitstrings": ["1111000000"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.2686319636005842e-08) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(1.2686319636005842e-08) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(1.2686319636005842e-08) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(1.2686319636005842e-08) 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;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIZIIZIIII",
"IIZIZIIIII",
"IIIIZZIIII",
"IIZZIIIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIZIIIIIII",
"IIIIIZIIII",
"IIIIZIIIII"... | [
-2.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2,
-2,
0.5,
-2,
0.5,
0.5,
-1,
-2,
2,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.927273 | [
1.2686319636005842e-8,
1.5707963303094346,
1.570796328251223,
3.1415926269313337,
1.5707963304622157,
1.5707963339649589
] | {
"n_parameters": 6,
"n_qubits": 10,
"optimal_eigenvalue": -27.5,
"target_ratio": 0.97,
"target_value": -26.675
} | 185 |
01c79553cd838cd252f6e60dedff49e5 | 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": 2}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 3, "source": 2, ... | {"states": [101, 127], "expectation_value": -8.40099804545785, "params": null, "bitstrings": ["10011010", "10000000"], "total_optimization_steps": 81, "probabilities": [0.13187941624328978, 0.7638268127257326], "optimization_time": 124.67371153831482} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -2.0 * (Z(3) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(... | 1 | 8 | 4 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.0845213497005627) q[0];
rz(-pi) q[1];
ry(-3.0455609286004646) q[1];
h q[2];
ry(1.4919071887247282) q[2];
h q[3];
ry(0.7240132628322454) q[3];
h q[4];
ry(0.9793324905949224) q[4];
h q[5];
ry(1.5402453113042955) q[5];
h q[6];
cx q[6], q[3];
ry(-0.72401326283... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIZIZ",
"IIIIIZZI",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IZIIIZII",
"IZIIIIZI",
"IZIIZIII",
"IIIZIIZI",
"IZIZIIII",
"IIIZZIII",
"IIZIIZII",
"IIZIIIZI",
"IZZIIIII",
"IIZZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"ZIIIIIII",
"IZIIIIII",
"IIIIZIII",
"IIIZIIII",
"IIZIIII... | [
-0.25,
-0.5,
-0.75,
0.5,
-0.5,
-0.75,
-0.5,
-2,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-1,
0.5,
-0.25,
-0.25,
-0.75,
-1.25,
0.5,
-0.75,
2.25
] | 0.977783 | [
1.5402453113042955,
1.4480265256644909,
-0.6838943024593398,
1.4919071887247282,
1.6837402841554543,
1.958664981189845,
-1.8541117649949548,
1.9567893576185749,
2.1258717747278064,
-0.1690426994011254,
3.770151024236896,
-0.7583358906758061,
-0.4200762250226027,
1.8848100973159259,
-1.08... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 81 |
a1d9899df34936ad9ddd849ff23271ff | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 6}, {"source": 3, "target": 7}, {"source": 4, "target":... | {"states": [449, 448], "expectation_value": -3.3349227616861508, "params": [[-0.08320000000000001], [0.0785]], "bitstrings": ["000111110", "000111111"], "total_optimization_steps": 10, "probabilities": [0.003874412194703896, 0.00403878351443536], "optimization_time": 0.8017654418945312} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -3.5 * (Z(3) @ Z(6)) + 1.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(3)) + -3.5 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(7)) + -3.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(7)) + -2.5 * (Z(5) @ Z(4)) + -3.0 * (Z(8) @ Z(6)) + 0.5... | 1 | 9 | 1 | {"smallest_eigenvalues": [-30.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.0, "smallest_bitstrings": ["000111111"], "largest_eigenvalue": 27.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.05823823742715945) q[0];
rz(1.6025828522996903) q[0];
rx(0.7317190212206771) q[1];
rz(1.7170773086731916) q[1];
rx(-2.047998428539664) q[2];
rz(1.6186589910098306) q[2];
rx(-0.07876358753274516) q[3];
rz(1.6001683092524779) q[3];
rx(-0.013174328217384337) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIZIIZIII",
"IZZIIIIII",
"IZIIIZIII",
"IIZIZIIII",
"IIIIZZIII",
"IZIIZIIII",
"IIZZIIIII",
"IIIZIZIII",
"IZIZIIIII",
"IIIZZIIII",
"ZIZIIIIII",
"ZIIIIZIII",
"ZZIIIIIII",
"ZIIIZIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
-1.5,
-1.5,
0.5,
-3.5,
1.5,
-2.5,
-3.5,
1,
-3,
-3,
0.5,
1,
-2.5,
-3,
0.5,
0.5,
1,
1,
0.5,
0.5,
0.5,
-3,
1.5,
-3,
-2.5,
-2.5,
-2.5
] | 0.971687 | [
-0.058238237427159445,
0.03178652550479416,
0.7317190212206771,
0.14628098187829564,
-2.047998428539664,
0.047862664214934764,
-0.07876358753274518,
0.02937198245758101,
-0.013174328217384335,
0.00837139669963462,
-0.014090674609166371,
0.0798065247458841,
0.1084983840517107,
0.01406957576... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -30,
"target_ratio": 0.97,
"target_value": -29.099999999999998
} | 4 |
edf882d81ff9cc6dd04b2b372b99a445 | 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": 1}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [0, 127], "expectation_value": -8.43581671513732, "params": [[0.0809, 0.1983, -0.3584, -0.32380000000000003], [-0.49810000000000004, -0.1933, 0.2671, 0.1792]], "bitstrings": ["11111111", "10000000"], "total_optimization_steps": 70, "probabilities": [0.10555315412253907, 0.10956156509402912], "optimization_ti... | -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 | 4 | {"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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"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 |
9ddcebaaa376040d7f40e787f62c4ee2 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, ... | {"states": [92, 86], "expectation_value": -4.999899060659704, "params": null, "bitstrings": ["0100011", "0101001"], "total_optimization_steps": 33, "probabilities": [1.641480323199846e-05, 0.9999303742100574], "optimization_time": 25.50068974494934} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(6) + 0.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(1) + -0.5 * Z(4) + -0.5 * Z(5) + -1.0 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101001"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.476920074921542) q[0];
ry(-0.09905821253851034) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-3.1065822105209677) q[2];
cx q[0], q[2];
ry(-0.09156363914389193) q[2];
cx q[0], q[2];
ry(0.12900370798255972) q[0];
ry(-0.0740965660231691) q[3];
rz(-pi) q[3];
ry(-3.0917... | 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[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"ZIIIIIZ",
"ZIIIZII",
"IIIIZZI",
"ZIZIIII",
"IIZIIZI",
"IZIIIZI",
"ZIIZIII",
"IIIZZII",
"IZIZIII",
"ZIIIIII",
"IIIIIIZ",
"IIIIZII",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-1,
-0.5,
-0.5,
-1
] | 0.991048 | [
-1.686064933077053,
-1.4993209104329903,
-1.4612831858638395,
1.476920074921542,
1.5142431307198303,
-0.07083314981577636,
0.18312727828778386,
0.10531564353017844,
0.08798798608106306,
0.25800741596511945,
0.05516559235320829,
-0.05266815835640131,
-0.07499416518871704
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
4d7848bbad7b19d9302a5e47a96a2582 | 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": 2}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": ... | {"states": [0, 256], "expectation_value": -12.757867317908778, "params": [-0.0005, 0.20470000000000002, -0.0029000000000000002, 0.20450000000000002, -0.0026000000000000003, 0.2313, -0.0041, 0.2313, -0.0025, 0.2311, -0.0068000000000000005, 0.2432, 0.30820000000000003, 0.0046, 0.30860000000000004, -0.00030000000000000003... | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(8) @ Z(0)) + -0.25 * (Z(11) @ Z(4)) + -0.25 * (Z(11) @ Z(0)) + -0.5 * (Z(11) @ Z(8)) + 1.5 * (Z(3) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(8)) + -0.75 * (Z(1) @ Z(5)) + -0.25 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(5)) + -0.75 * (Z(7) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(6) ... | 7 | 12 | 3 | {"smallest_eigenvalues": [-14.25, -14.25, -14.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -13.25, "smallest_bitstrings": ["110011111011", "111011111111", "111011111011"], "largest_eigenvalue": 13.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.18027847415071616) q[0];
rz(-0.9064881315210345) q[0];
rx(0.01461288539922916) q[1];
rz(-0.27976093300036275) q[1];
rx(0.10343698203284149) q[2];
rz(-0.6819542027114913) q[2];
rx(1.2061416555229068) q[3];
rz(0.43026061572436536) q[3];
rx(-0.021576790791468337) 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": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIZ",
"IIIZIIIIIIIZ",
"ZIIIIIIZIIII",
"ZIIIIIIIIIIZ",
"ZIIZIIIIIIII",
"IIIIIIIIZIIZ",
"IIIIIIZZIIII",
"IIIZIIZIIIII",
"IIIIIIZIIIZI",
"IIIIZIIZIIII",
"IIIIZIZIIIII",
"IIIIZIIIIIZI",
"IIIIIIIIIZZI",
"IIIIIZIZIIII",
"IIIZIZIIIIII",
"ZIIIIZIIIIII",
"IIIIIZIIIIZI",
"IIIIZZIII... | [
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
1.5,
-1,
-0.25,
-0.75,
-0.25,
-0.5,
-0.75,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-1.75,
-0.5,
1,
0.75,
-0.25,
-1,
0,
0.75,
0.5,... | 0.980572 | [
0.18027847415071613,
-0.8253300631262028,
0.014612885399229161,
-0.3305143485119212,
0.1034369820328415,
-0.6261686079150519,
1.2061416555229068,
-0.01896949741253859,
-0.021576790791468337,
-0.42653310792415017,
-0.6059576035166774,
-0.10009478042906048,
-0.6252859519562703,
0.00669167525... | {
"n_parameters": 46,
"n_qubits": 12,
"optimal_eigenvalue": -14.25,
"target_ratio": 0.97,
"target_value": -13.8225
} | 8 |
bbb18bb73753a73666e5ad52487ead16 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5},... | {"states": [0, 1660], "expectation_value": -4.801813990985263, "params": [[0.07050000000000001], [-0.060200000000000004]], "bitstrings": ["11111111111", "00110000011"], "total_optimization_steps": 10, "probabilities": [0.0013177296486793378, 0.0013479703864665699], "optimization_time": 3.3832147121429443} | -3.5 * (Z(0) @ Z(1)) + -3.5 * (Z(4) @ Z(1)) + -3.5 * (Z(4) @ Z(0)) + -3.5 * (Z(6) @ Z(1)) + -3.0 * (Z(6) @ Z(0)) + 2.0 * (Z(6) @ Z(4)) + 1.5 * (Z(7) @ Z(1)) + -3.0 * (Z(7) @ Z(0)) + -3.5 * (Z(7) @ Z(4)) + -3.0 * (Z(7) @ Z(6)) + 2.0 * (Z(8) @ Z(1)) + -3.5 * (Z(8) @ Z(0)) + -3.5 * (Z(8) @ Z(4)) + -3.5 * (Z(8) @ Z(6)) + 1... | 5 | 11 | 1 | {"smallest_eigenvalues": [-54.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -47.5, "smallest_bitstrings": ["00110000011"], "largest_eigenvalue": 49.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.562283524787151) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.562283524787151) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.562283524787151) q[4];
cx q[0], q[4];
h q[5];
h q[6];
cx q[1], q[6];
rz(-0.562283524787151... | 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": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIZIIIIZI",
"IIIIZIIIIIZ",
"IIIIZIZIIII",
"IIIZIIIIIZI",
"IIIZIIIIIIZ",
"IIIZIIZIIII",
"IIIZZIIIIII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIZIIIZIIII",
"IIZIZIIIIII",
"IIZZIIIIIII",
"IIIIIZIIIZI",
"IIIIIZIIIIZ",
"IIIIIZZIIII",
"IIIIZZIII... | [
-3.5,
-3.5,
-3.5,
-3.5,
-3,
2,
1.5,
-3,
-3.5,
-3,
2,
-3.5,
-3.5,
-3.5,
1.5,
-3,
1.5,
-3,
1,
0.5,
-3,
-2.5,
-2.5,
-2.5,
-2.5,
1.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-2,
2,
-2
] | 0.581836 | [
-0.562283524787151,
-0.5858973896820552,
-0.6323061015290482,
-0.2969858484446436,
-0.3651201988747808,
-0.02806118551408006,
-0.06699367177993527,
-1.5584200610935828,
-1.232239306751362
] | {
"n_parameters": 9,
"n_qubits": 11,
"optimal_eigenvalue": -54.5,
"target_ratio": 0.97,
"target_value": -52.865
} | 237 |
5d4156bcf03d96be249adb6f40939435 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 5}, {"weight": 17, "source": 0, "target": 4}, {"weight": 2, "source": 2, "targ... | {"states": [474, 218], "expectation_value": -37.69906869074651, "params": [[-0.0359, -0.005, 0.0039000000000000003, 0.0011], [0.0771, 0.0718, 0.065, 0.0589]], "bitstrings": ["000100101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.014260137286072307, 0.018002240659986537], "optimization_time": 7.9... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-89.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 173.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027343399219059546) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.027343399219059546) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.027343399219059546) q[2];
cx q[0], q[2];
rz(1.0532120961901006) q[0];
rx(1.3492354281853987) q[0];
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[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIIZII",
"IIIZZIIII",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIIIZII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
17.5,
4,
22.5,
18,
1,
15,
14.5,
13.5,
0
] | 0.970304 | [
0.027343399219059546,
-1.6870621356962872,
1.0532120961901008,
-1.666563796078019,
-1.6741380226720057,
1.5343275272501065,
-1.6148629270271109,
0.41011511092221453,
-1.7980220800840707,
1.5537144309532576,
1.3492354281853984,
-0.08345815635865424,
0.7143590988244952,
1.4436025410262452,
... | {
"n_parameters": 31,
"n_qubits": 9,
"optimal_eigenvalue": -89.5,
"target_ratio": 0.97,
"target_value": -86.815
} | 61 |
d33e4c0d2974592d2ca25f21d0fc0575 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [175, 179], "expectation_value": -39.152883962085234, "params": [[[0.7917000000000001, 0.4405], [0.2748, 0.4781], [0.6933, 0.43010000000000004], [0.20220000000000002, 0.5586], [0.096, 0.783], [-0.0029000000000000002, 0.3514], [0.40650000000000003, 0.6226], [0.5308, -0.167]], [[0.7548, -0.0013000000000000002]... | 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(0) @ Z(2)) + 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(3) @ Z(0)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(6) @ Z(2)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(5) @ Z(0)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(7) @ Z(1)) + 17.5 * Z(2) + 11.0 * Z(1) + 17.5 * Z(0) + 8.5 * Z(4) + 1... | 15 | 8 | 3 | {"smallest_eigenvalues": [-70.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["01001100"], "largest_eigenvalue": 162.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(1.6955431561238967) q[0];
ry(-0.06418651079423293) q[1];
ry(1.112488733145221) q[2];
ry(0.13937831541359963) q[3];
ry(-0.2135477183604007) q[4];
ry(-0.43628435479048416) q[5];
ry(0.6125238894280591) q[6];
ry(0.4115107817360949) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIIZIZ",
"IIIIIIZZ",
"IIIZIZII",
"IIIIZIIZ",
"IIIZZIII",
"IZIIIZII",
"IZIZIIII",
"IIZIIIIZ",
"IIZIZIII",
"IZZIIIII",
"ZIIIIIZI",
"IIIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
17.5,
11,
17.5,
8.5,
11.5,
14.5,
8.5,
1.5
] | 0.976666 | [
1.6955431561238967,
-0.06418651079423293,
1.112488733145221,
0.13937831541359963,
-0.2135477183604007,
-0.43628435479048416,
0.6125238894280591,
0.4115107817360949,
0.8721532065056694,
0.9015935597271065,
0.44110907116293385,
0.6589218676268268,
0.18802835555247038,
-0.3274972947875541,
... | {
"n_parameters": 48,
"n_qubits": 8,
"optimal_eigenvalue": -70.5,
"target_ratio": 0.97,
"target_value": -68.385
} | 69 |
dc3cbe21e61f9483869115ba11272c4d | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"sour... | {"states": [74, 90], "expectation_value": -6.766540940609298, "params": [[[0.0018000000000000002, 0.0051, 0.0001, 0.0064], [0.0028, 1.3773, 0.0027, 0.007], [2.1073, 0.0037, 0.002, 0.00030000000000000003], [-0.0039000000000000003, -0.6605000000000001, 0.0032, 0.0068000000000000005], [1.5934000000000001, 0.00260000000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) ... | 12 | 9 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.5, "smallest_bitstrings": ["110110010", "110010110", "110100011", "110100101"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.20274152523604738) q[0];
rz(-0.002764786449015136) q[0];
ry(0.02069257022440943) q[1];
rz(1.7328682301572438) q[1];
cz q[1], q[0];
ry(-0.06548661893972021) q[1];
ry(2.7754805652774928) q[2];
rz(-0.10156869175916498) q[2];
ry(0.20498407380645928) q[3];
rz(-1.0096420... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIZZIII",
"IZIIIIIIZ",
"IZIIIZIII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIIIZIZI",
"IIIIZIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IIIZIIIZI",
"IIZIIZIII",
"IZZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"IZIIIIIII",
"... | [
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,
-2,
-2,
-1.5,
-2,
-1.5,
-2,
0,
-0.5
] | 0.972735 | [
0.20274152523604738,
-0.002764786449015136,
0.02069257022440943,
1.7328682301572438,
2.7754805652774928,
-0.10156869175916498,
0.20498407380645928,
-1.0096420384933154,
2.7128386804359117,
-0.010436878453111715,
-0.2505039864938047,
-0.1833033315797481,
0.04280690669735118,
1.5927617162800... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 11 |
42fc1cab65130010b16c5206f9faaa99 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [67, 7], "expectation_value": -5.478908410349426, "params": [[0.0395, 0.0057], [-0.038, -0.0201]], "bitstrings": ["10111100", "11111000"], "total_optimization_steps": 10, "probabilities": [0.005147024422084704, 0.005318290693736362], "optimization_time": 6.803450107574463} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 5 | 8 | 2 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.020585712478965273) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.020585712478965273) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.020585712478965273) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.020585712478965273) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
2.75,
-7.25,
-7,
-7.5,
-7,
-7,
-6.25,
-6.5,
-6.5
] | 0.972491 | [
0.020585712478965273,
-0.10740732213659304,
0.9806179744216011,
1.2066222500302057,
0.807373465491872,
-0.7383480177614887,
-0.583309434460934,
1.229770317245662,
0.029731332749984192,
-0.4028832613860345,
-0.11890009039048421,
0.19530480659012922,
0.3300174811368061,
-0.05473954150926055,... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 85 |
3d348eb12d2c4daa7c8a912bc458fb31 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [207, 206], "expectation_value": -114.43398156960912, "params": [-0.0012000000000000001, -0.47300000000000003, 0.0019, -0.43210000000000004, 0.2426, 0.2933, 0.79, -0.0074, 0.7886000000000001, 0.0031000000000000003, 0.0045000000000000005, 0.562, 0.1671, 0.3819, 0.7865000000000001, -0.0143, 0.786, 0.0214000000... | 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(0) @ Z(4)) + 7.5 * (Z(7) @ Z(3)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(8) @ Z(2)) + 7.5 * (Z(9) @ Z(6)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10) @ Z(3)) + 7.5 * (Z(10) @ Z(7)) + 7.5 * (Z(10) @ Z(8)) + 7.5 * (Z(10) @ Z(9)) + 22.0 * Z(3) + 10.0 * Z(2) + 17... | 18 | 11 | 4 | {"smallest_eigenvalues": [-129.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -122.0, "smallest_bitstrings": ["11100110001"], "largest_eigenvalue": 229.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.08109211674142647) q[0];
rz(-0.48690602769966773) q[0];
rx(-0.21186530651360774) q[1];
rz(-0.3568402621488723) q[1];
rx(-0.10599181173098038) q[2];
rz(0.07650753898609497) q[2];
rx(0.7112979321581561) q[3];
rz(0.010583003510941977) q[3];
rx(0.9273367178515023) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIIZIZII",
"IIIIIIZIIIZ",
"IIIZIIIZIII",
"IIIZZIIIIII",
"IIZIIIIIZII",
"IZIIZIIIIII",
"IZZIIIIIIII",
"ZIIIIIIZIII",
"ZIIZIIIIIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIIIIIIZ",
"IIIZIIIIIII",
"IIIIZIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
22,
10,
17.5,
-5,
13,
3.5,
15.5,
13,
19,
-10.5,
-12.5
] | 0.979385 | [
-0.08109211674142648,
-0.485941539755787,
-0.21186530651360774,
-0.3568402621488723,
-0.10599181173098038,
0.07650753898609497,
0.7112979321581561,
0.010583003510941977,
0.9273367178515023,
0.3529050655657069,
0.19395566117527097,
0.7349366338950281,
0.048751492563712966,
0.224739689189303... | {
"n_parameters": 127,
"n_qubits": 11,
"optimal_eigenvalue": -129,
"target_ratio": 0.97,
"target_value": -125.13
} | 11 |
-5860608191676456208 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 4], [3, 4, 5, 6], [2, 3], [0, 3, 5, 6], [2, 5], [0, 4, 6], [1, 4, 5, 6], [1, 3, 5, 6], [0, 1, 3]]} | {"states": [75, 78], "expectation_value": -2.7962190620772795, "params": null, "bitstrings": ["0110100", "0110001"], "total_optimization_steps": 32, "probabilities": [0.0251146977594373, 0.9320165832938395], "optimization_time": 37.42567038536072} | 0.41666666666666663 * (Z(1) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.3333333333333333 * (Z(6) @ Z(4)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.416666666666667, "smallest_bitstrings": ["0110001"], "largest_eigenvalue": 7.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(-0.0005579194038975489) q[1];
cx q[3], q[1];
h q[4];
cx q[3], q[4];
rz(0.0011824693258442045) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(0.0011824693258442045) q[4];
cx q[1], q[4];
h q[5];
cx q[3], q[5];
rz(0.001182469325844... | 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(1.5405) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIZIZI",
"IIZZIII",
"IIZIIZI",
"IZIZIII",
"IZIIIZI",
"IZZIIII",
"ZIIZIII",
"ZIIIIZI",
"ZIZIIII",
"ZZIIIII",
"IIIZZII",
"IZIIZII",
"IIIZIIZ",
"IIIIIZZ",
"IIZIIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIIIIZ"
] | [
0.41666666666666663,
0.25,
0.25,
0.25,
0.16666666666666666,
0.16666666666666666,
0.25,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.5,
0.5,
0.25,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.25,
0.7083333333333333,
0.5833333333333333,
0.583... | 0.707426 | [
-0.0005579194038975489,
0.0011824693258442045,
0.010572595766272813,
0.007543929947117663,
0.33559008675035623,
0.024890893593723453,
1.583998776710306,
-1.5685286937155676,
1.5699343804133772,
1.5699370937498778,
-1.5428911406424584,
4.718723053245405,
-1.513950909034764
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -2.833333333333334,
"target_ratio": 0.97,
"target_value": -2.748333333333334
} | 305 |
fc004364023d9de40312a47332ff3203 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [17, 34], "expectation_value": -1.3496294097088517, "params": [[0.059000000000000004, 0.055200000000000006, 0.061200000000000004, 0.0786], [-0.0553, -0.044700000000000004, -0.042800000000000005, -0.0641]], "bitstrings": ["101110", "011101"], "total_optimization_steps": 10, "probabilities": [0.027379813152114... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -1.5 * Z(4) + -1.0 * Z(2) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["011101", "100111", "101011", "010111", "101110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.6127412305421492) q[1];
cx q[0], q[1];
ry(0.6127412305421492) q[1];
cx q[0], q[1];
ry(0.9064729368977194) q[0];
ry(-0.649182173265523) q[1];
h q[2];
ry(1.4324240142859173) q[2];
cx q[2], q[0];
ry(-0.23353815411777684) q[0];
cx q[2], q[0];
cx q[2], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIZIIZ",
"ZIIIIZ",
"ZIZIII",
"IZIIZI",
"IZZIII",
"ZZIIII",
"IIZZII",
"ZIIZII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IZIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
-1.5,
-1.5,
-1
] | 0.987812 | [
-1.5986606768365204,
-1.6185309131181278,
-1.6846005430182638,
1.4324240142859173,
-1.2254824610842985,
0.6729347827799425,
-0.5013102898575983,
0.4670763082355537,
-0.2957437668158493,
-0.01748577060486424,
-0.06482151295528986,
0.013714043898860342,
-0.001963044877672917,
0.1760142459784... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
d030c61aecb3e0005b1eeeae4c1beaf6 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": ... | {"states": [123, 127], "expectation_value": -14.932140630926707, "params": [-0.0025, -0.0024000000000000002, 0.002, -0.0022, -0.0038, -0.0012000000000000001, -1.0258, -1.0247, -0.0027, -0.0028, -0.0029000000000000002, -0.0029000000000000002, -0.0026000000000000003, -0.0023, -0.7043, 0.5979, -1.5244, 1.6115000000000002,... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(4)) + 1.0 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + -2.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + -1.0 * (Z(8) @ Z(9)) + -1.5 * Z(1) + -1.0 * Z(0) ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["1110000000"], "largest_eigenvalue": 21.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.5795326947084412) q[0];
cx q[1], q[0];
rz(-0.009716084060023888) q[0];
rx(-0.9811288226533759) q[0];
rz(-0.009716084060023888) q[1];
rx(-0.9811288226533759) q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[2];
rz(-0.8187863330155092... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIZZIII",
"IIIZIZIIII",
"IIIZIIZIII",
"IIZIIZIIII",
"IIZIIIZIII",
"IIZZIIIIII",
"IIIIZZIIII",
"IIIIZIZIII",
"IIIZZIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIZIIIIII",
"IIZIIIIIII"... | [
-2,
-2,
0.5,
-2.5,
1,
-2.5,
0.5,
-2,
0.5,
-2,
1,
-2,
-1,
-1.5,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.60623 | [
-1.5795326947084412,
-0.8187863330155092,
-0.009716084060023958,
-0.24874693455595068,
-1.2762675676620325,
-0.5388075613017902,
-0.981128822653376
] | {
"n_parameters": 7,
"n_qubits": 10,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 204 |
bc9c43e07717e061a702258caa354cb1 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 7}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [35, 51], "expectation_value": -3.0327332244093768, "params": [0.3024, -0.3156, 0.3055, 0.0038, 0.7961, 0.3111, 0.7985, 0.009600000000000001, 0.8105, 0.0915, 0.8053, 0.0005, 0.802, 0.2417, 0.8004, 0.0009000000000000001, -0.013000000000000001, 0.4043, -0.0102, 0.0031000000000000003, -0.0083, 0.409900000000000... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(7) + -0.5 * Z(0) + 0.0 * Z(3) + -1.5 * Z(4) + -1.0 * Z(1) + -1.5 * Z(5) + -0.5 * Z(6) + 0.0... | 5 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["10001110", "11001100"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.10717568652736817) q[0];
rz(-0.613192164467355) q[0];
rx(-0.37277058947326375) q[1];
rz(0.22118332543880115) q[1];
rx(0.6259542485802544) q[2];
rz(0.33864833929410665) q[2];
rx(1.006447697256304) q[3];
rz(0.5376535677087357) q[3];
rx(-0.0981749027050129) 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": []} | [
"ZIIIIIIZ",
"IIIIZIIZ",
"ZIIZIIII",
"IIIZIIZI",
"ZIZIIIII",
"IIZZIIII",
"IIZIIIZI",
"IZIIIIZI",
"IZZIIIII",
"IIIZIZII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IIIIIIZI",
"IIZIIIII",
"IZIIIIII",
"IIIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
0,
-1.5,
-1,
-1.5,
-0.5,
0
] | 0.977916 | [
0.10717568652736817,
-0.6121178702546919,
-0.3727705894732638,
0.08891269984746725,
0.6259542485802544,
0.40617871295572644,
1.006447697256304,
0.6266130516322156,
-0.0981749027050129,
0.4119948877441397,
0.1526400993671369,
0.659736952576376,
1.65441338282833,
0.24035805955318484,
2.654... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 34 |
80ea40a1cd4d9bb780bbb97236d9a0bc | 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": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "so... | {"states": [206, 214], "expectation_value": -6.139051509921674, "params": [[-0.15660000000000002, -0.1193], [0.1792, 0.1671]], "bitstrings": ["100110001", "100101001"], "total_optimization_steps": 20, "probabilities": [0.013701382510980013, 0.013701382510980025], "optimization_time": 7.1146557331085205} | -0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(8) @ Z(4)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-9.375, -9.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.125, "smallest_bitstrings": ["100101001", "100110001"], "largest_eigenvalue": 26.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.08799439082692172) q[0];
rz(-0.04053423072081053) q[0];
rx(1.2006522271996443) q[1];
rz(-0.029852817323747956) q[1];
rx(1.2006522271996443) q[2];
rz(-0.08799439082692172) q[2];
rx(0.18833581716882544) q[3];
rz(-0.4849824546849156) q[3];
rx(-0.18261437563468638) 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": []} | [
"IIIIZIIIZ",
"IIIZZIIII",
"IIIZIIIIZ",
"IIZIZIIII",
"IIZIIIIIZ",
"IIZZIIIII",
"IZIIZIIII",
"IZIIIIIIZ",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZIIZIIIII",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZIIIZII",
"IZIIIIZII",
"IIIIIIZZI",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIZIIIIII",
"... | [
-0.5,
1,
-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,
0.375,
2,
-1.625,
2,
3.5,
3.5,
-0.5,
1.75,
1.75,
-0.125
] | 0.978674 | [
-0.08799439082692172,
0.32284741774146336,
1.2006522271996443,
-0.029852817323747956,
0.18833581716882544,
-0.4849824546849156,
-0.18261437563468638,
0.4457386079991235,
1.0214807372461534,
0.12397842284346364,
1.0316252057604736,
-0.01557903318317504,
0.97996823976922,
0.23266544356229904... | {
"n_parameters": 74,
"n_qubits": 9,
"optimal_eigenvalue": -9.375,
"target_ratio": 0.97,
"target_value": -9.09375
} | 10 |
452721255938076845 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 7], [5, 7], [0, 7], [2, 3], [0, 4], [2, 6]]} | {"states": [228, 214], "expectation_value": -2.6239581346999725, "params": null, "bitstrings": ["00011011", "00101001"], "total_optimization_steps": 60, "probabilities": [0.04904773182646255, 0.6981358048581305], "optimization_time": 74.23603773117065} | 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["11100100", "00011011", "11010110", "00101001"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.9427441083387836) q[2];
cx q[3], q[2];
rz(1.535581617417847e-08) q[3];
rx(-0.7853981452849917) q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(0.9427441083387836) q[6];
cx q[2], q[6];
rz(1.535581617417847e-08) q[2];
rx... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[5], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"ZIIIIIZI",
"ZIZIIIII",
"ZIIIIIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IZIIIZII",
"ZIIIIIII",
"IIIIIIZI",
"IIZIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.565477 | [
0.9427441083387836,
1.5355816106721257e-8,
-0.7853981452849917
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 102 |
a580428593ca2a54e0f078f27f8703fa | 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": 2}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 2, "source": 1, ... | {"states": [117, 125], "expectation_value": -8.24819846273081, "params": null, "bitstrings": ["10001010", "10000010"], "total_optimization_steps": 45, "probabilities": [0.49910390523101167, 0.49910390523101167], "optimization_time": 49.377166986465454} | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(7... | 1 | 8 | 1 | {"smallest_eigenvalues": [-8.25, -8.25, -8.25, -8.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000", "10011010", "10001010", "10000010"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7323893184553074) q[0];
h q[1];
ry(1.6021768552422677) q[1];
h q[2];
ry(0.8045778722749679) q[2];
h q[3];
ry(0.8154121842764465) q[3];
h q[4];
h q[5];
ry(0.8024040181420935) q[5];
cx q[1], q[5];
ry(-0.8024040181420935) q[5];
cx q[1], q[5];
cx q[5], q[3];
r... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIZIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"IIIIIZZI",
"IIIIZIZI",
"ZIZIIIII",
"IIZIIIZI",
"IIZIZIII",
"IIIZZIII",
"IZIIZIII",
"IZZIIIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII"
] | [
-0.25,
-0.25,
0.5,
-0.25,
-1,
-0.25,
-0.5,
-1.25,
-1,
-1.25,
-0.5,
-1.25,
0.25,
-0.25,
0,
1.25,
0,
1.5,
0.25,
-3
] | 0.993954 | [
-1.6414614992998269,
1.6021768552422677,
1.604808036284187,
1.630824368552893,
1.6091557445499358,
1.4196572032246375,
-1.4647786369106148,
0.09519838854373029,
-0.21010186821471288,
0.22777370581489204,
-0.0839483296551511,
0.24515748303306414,
-0.07700521961837196
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 1 |
8083958203227597675 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 4], [3, 5], [1, 11], [0, 9, 2], [0, 10], [8, 6], [0, 7]]} | {"states": [489, 2536], "expectation_value": -1.1569061269333862, "params": [[[1.3993, 1.3873], [-0.011600000000000001, 0.9864], [-0.7145, 1.405], [-0.1245, 1.4023], [0.8351000000000001, 0.6848000000000001], [0.5924, 0.7065], [-0.22610000000000002, 0.5861000000000001], [1.4002000000000001, 1.4065], [1.4076, 0.4118], [1... | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(11) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(11)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(10) @ Z(8)) + 0... | 15 | 12 | 1 | {"smallest_eigenvalues": [-3.1666666666666665, -3.1666666666666665, -3.1666666666666665, -3.1666666666666665, -3.1666666666666665, -3.1666666666666665, -3.1666666666666665, -3.1666666666666665, -3.1666666666666665, -3.1666666666666665, -3.1666666666666665, -3.1666666666666665, -3.1666666666666665, -3.1666666666666665, ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.631428447458733) q[0];
ry(-1.5959753642512793) q[1];
ry(-1.4739581846347936) q[2];
ry(-1.5224760472964969) q[3];
ry(1.7228048467941162) q[4];
ry(1.4860813770677104) q[5];
ry(-1.4985839934672263) q[6];
ry(1.666461544405645) q[7];
ry(1.5252099472512173) q[8];
ry(1.6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIZIIIIZI",
"IIIIIZIIIIIZ",
"IIIIZIZIIIII",
"IIIIIIIIZIZI",
"ZIIIIIIIIIIZ",
"IIIIIIIZIIIZ",
"ZIIIIIIZIIII",
"IIIIIIIIIZIZ",
"IZIZIIIIIIII",
"IIZIIIIIIIIZ",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIZIIIIII",
"IIIIZIIIIIII",
"IIIIIIZIIIII",
"IIIIIIIIZIII",
"ZIIIIIIII... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666663,
0.33333333333333326,
0.16666666666666666,
0,
0,
0,
0.16666666666666666,
0.16666666666666666,
0,
0,
0,
... | 0.971241 | [
1.631428447458733,
-1.5959753642512793,
-1.4739581846347936,
-1.5224760472964969,
1.7228048467941162,
1.4860813770677104,
-1.4985839934672263,
1.666461544405645,
1.5252099472512173,
1.674738679931382,
1.6536866437211133,
1.614167757432301,
1.422702291587231,
1.6092964684058435,
1.4338678... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -3.1666666666666665,
"target_ratio": 0.97,
"target_value": -3.0716666666666663
} | 82 |
-8124382677448939960 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 3, 5], [0, 1, 2], [0, 4], [0, 2, 3], [2, 5, 6], [1, 3, 4, 5], [1, 3, 4, 6], [0, 3, 5], [2, 4], [1, 2, 6]]} | {"states": [29, 89], "expectation_value": -2.472307205273711, "params": null, "bitstrings": ["1100010", "0100110"], "total_optimization_steps": 36, "probabilities": [0.11321800552382247, 0.8552738274237115], "optimization_time": 48.312758684158325} | 0.3333333333333333 * (Z(2) @ Z(3)) + 0.41666666666666663 * (Z(5) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.3333333333333333 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5833333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5833333333333326, "smallest_bitstrings": ["0100110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-0.18290203974019123) q[1];
h q[2];
ry(1.6439897263211187) q[2];
h q[3];
ry(1.255769084132511) q[3];
h q[4];
ry(-0.4620683565303858) q[4];
cx q[0], q[4];
ry(0.4620683565303858) q[4];
cx q[0], q[4];
ry(0.9691864194676824) q[0];
ry(-0.28593208251262914)... | 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(1.5592) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIZZII",
"IZIZIII",
"IZIIZII",
"IIIZIIZ",
"IIIIZIZ",
"IZIIIIZ",
"IIIZIZI",
"IIIIZZI",
"IZIIIZI",
"IIIIIZZ",
"IIZZIII",
"IIZIZII",
"IZZIIII",
"IIZIIIZ",
"IIZIIZI",
"ZIIZIII",
"ZIIIZII",
"ZZIIIII",
"ZIIIIZI",
"ZIZIIII",
"IIIZIII",
"IIIIZII",
"IZIIIII",
"IIIIIIZ",
"III... | [
0.3333333333333333,
0.41666666666666663,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.08333333333333333,
0.5,
0.16666666666666666,
0.083333... | 0.975722 | [
1.6439897263211187,
1.255769084132511,
-0.9241367130607716,
0.7470736378023861,
-0.5718641650252583,
0.44422556333059243,
-0.33731851386164347,
-0.7948144095623532,
1.1586950140018544,
-0.5831218364288073,
0.3972900215107367,
0.4050729698077994,
-0.2505605886853297,
0.183224820807649,
-0... | {
"n_parameters": 29,
"n_qubits": 7,
"optimal_eigenvalue": -2.5833333333333335,
"target_ratio": 0.97,
"target_value": -2.5058333333333334
} | 11 |
-2952389905029746833 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 5], [0, 7], [4, 5], [2, 5], [2, 4], [6, 7], [3, 5], [0, 4], [1, 4], [1, 6], [0, 5], [0, 6], [4, 6], [0, 8], [8, 5], [0, 2], [2, 7], [1, 2], [8, 7], [3, 7], [2, 3]]} | {"states": [425, 433], "expectation_value": -3.983016347764897, "params": null, "bitstrings": ["001010110", "001001110"], "total_optimization_steps": 83, "probabilities": [0.04469900839034747, 0.6966552398067123], "optimization_time": 141.19086861610413} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.5, "smallest_bitstrings": ["001110101", "110001010", "001001110", "001001101", "110110010", "110110001"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(0.43224304740049874) q[1];
cx q[5], q[1];
cx q[5], q[0];
rz(0.43224304740049874) q[0];
cx q[5], q[0];
cx q[5], q[4];
rz(0.43224304740049874) q[4];
cx q[5], q[4];
cx q[1], q[4];
rz(0.43224304740049874) q[4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... | [
"IIIZIIIZI",
"IIIZIIIIZ",
"IZIIIIIIZ",
"IIIZZIIII",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIZIIZII",
"IIIIIIZZI",
"IIIIIIZIZ",
"IZIIIIZII",
"IIIIZIZII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IZZIIIIII",
"IIZIZIIII",
"IIIZIZIII",
"IZIIIZIII",
"IIIIIZZII",
"ZIIZIIIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.471741 | [
0.43224304740049874,
3.109743971256228e-8,
-0.6125332460936672
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 89 |
e25375c2d0d05abe9c971ec0baf3e172 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 10, "source": 0, "... | {"states": [430, 174], "expectation_value": -31.85622066615722, "params": [[-0.0256, -0.0228, 0.0098, 0.0083], [0.0478, 0.0671, 0.060200000000000004, 0.059300000000000005]], "bitstrings": ["001010001", "101010001"], "total_optimization_steps": 10, "probabilities": [0.012145480398275135, 0.015002830004120487], "optimiza... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(0)) + 4.5 * (Z(6) @ Z(8)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(8)) + 4.5 * (Z(7) @ Z(6)) + 16.5 * Z(1) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.0, "smallest_bitstrings": ["101010001"], "largest_eigenvalue": 160.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.03647124023203946) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.03647124023203946) q[3];
cx q[1], q[3];
cx q[1], q[2];
rz(0.03647124023203946) q[2];
cx q[1], q[2];
cx q[3], q[2];
rz(0.03647124023203946) q[2];
cx q[3], q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIIZZI",
"IIIIIZZII",
"IIIZIZIII",
"IIIZZIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"ZIZIIIIII",
"IZIIZIIII",
"ZZIIIIIII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"ZIIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
16.5,
5,
19,
0.5,
12,
1.5,
10.5,
18.5,
13.5
] | 0.979 | [
0.03647124023203946,
-1.2602974117383017,
1.3678611630905495,
-1.998558470278126,
1.713335776392386,
-1.121822327648916,
1.0818828836411878,
1.0640927633214456,
-1.94371647612563,
-2.0304218369801186,
1.3305714371003177,
-0.04474952181751145,
-0.25249714443591875,
0.4847442706154663,
0.7... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -89,
"target_ratio": 0.97,
"target_value": -86.33
} | 71 |
fd2b2d58ede740098c365e8851760db1 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"s... | {"states": [8191, 1023], "expectation_value": -22.05438476042677, "params": [[[0.0025, 0.0032], [-0.0024000000000000002, 0.0095], [-1.6134000000000002, 0.008400000000000001], [0.0024000000000000002, 0.0098], [-0.12480000000000001, 0.009000000000000001], [0.0023, 0.0029000000000000002], [0.0022, 0.0053], [0.0022, 0.0074... | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(10)) + -2.0 * (Z(12) @ Z(10)) + -1.5 * (Z(12) @ Z(9)) + -2.0 * (Z(11) @ Z(10... | 2 | 13 | 1 | {"smallest_eigenvalues": [-23.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["1110000000000"], "largest_eigenvalue": 23.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(0.17443258740775489) q[0];
rz(0.20345601158257764) q[0];
rx(0.05952133767218368) q[1];
rz(0.05162601216315068) q[1];
rx(-2.406140226344476) q[2];
rz(-0.13006651076266695) q[2];
rx(0.07764608545334027) q[3];
rz(0.2857673784776204) q[3];
rx(0.1943715846106052) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZIZ",
"IIIIIIIIZZIII",
"IIIIIIZZIIIII",
"IIIIZIZIIIIII",
"IIIIZIIZIIIII",
"IIIIIZZIIIIII",
"IIIIIZIZIIIII",
"IIIIZZIIIIIII",
"IIZZIIIIIIIII",
"ZIZIIIIIIIIII",
"ZIIZIIIIIIIII",
"IZZIIIIIIIIII",
"IZIZIIIIIIIII",
"ZZIIIIIIIIIII",
"IIIIIIIIIII... | [
-2,
0.5,
-2,
-1,
-2,
1,
-2,
-2,
1,
-2,
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-1,
-1.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.975086 | [
0.17443258740775489,
0.20345601158257764,
0.05952133767218368,
0.05162601216315068,
-2.406140226344476,
-0.13006651076266695,
0.07764608545334027,
0.2857673784776204,
0.1943715846106052,
0.059484490840100775,
-0.018558829727057892,
-0.037079008335096156,
-0.006593723829241727,
0.0782468089... | {
"n_parameters": 22,
"n_qubits": 13,
"optimal_eigenvalue": -23.5,
"target_ratio": 0.97,
"target_value": -22.794999999999998
} | 9 |
-1317166650248583423 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3], [1, 3, 7], [3, 6], [1, 4], [5, 7]]} | {"states": [212, 153], "expectation_value": -0.02977193099916054, "params": [[-0.0608], [0.060200000000000004]], "bitstrings": ["00101011", "01100110"], "total_optimization_steps": 10, "probabilities": [0.0041373705722043425, 0.004137370572204344], "optimization_time": 0.5610899925231934} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(7)) + 0.16666666666666666 * Z(2)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.833333333333334, "smallest_bitstrings": ["11000110", "01100110", "00101011", "00011100", "10001011"], "largest_eigenvalue": ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
ry(-0.3957285407581258) q[2];
cx q[0], q[2];
ry(0.3957285407581258) q[2];
cx q[0], q[2];
ry(-0.2555620811719806) q[0];
cx q[2], q[0];
ry(0.2555620811719806) q[0];
cx q[2], q[0];
ry(0.556239269921246) q[0];
ry(-0.14128864547144013) q[2];
h q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[0], q... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IIIIZIZI",
"ZIIIZIII",
"ZIIIIIZI",
"IZIIZIII",
"IIIZIIZI",
"ZIZIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"ZIIIIIII",
"IZIIIIII",
"IIIZIIII",
"IIZIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.33333333333333326,
0.16666666666666663,
0.16666666666666663,
0,
0,
0
] | 0.971023 | [
1.5001300946466947,
-1.6591525676803565,
-0.9653700150668145,
0.8671259747829921,
-0.9819044514033821,
0.7713464417043342,
-0.5518018380995925,
0.4687320202817268,
-0.28428085783588886,
0.5920880769449381,
-0.46235107008681225,
-0.32598816818127874,
0.07648558295980182,
0.13941483378173297... | {
"n_parameters": 45,
"n_qubits": 8,
"optimal_eigenvalue": -2.1666666666666665,
"target_ratio": 0.97,
"target_value": -2.1016666666666666
} | 15 |
42fc1cab65130010b16c5206f9faaa99 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [37, 7], "expectation_value": -22.048378033372657, "params": null, "bitstrings": ["11011010", "11111000"], "total_optimization_steps": 92, "probabilities": [0.07807308879076097, 0.6009750956398249], "optimization_time": 181.26462483406067} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 10 | 8 | 3 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.020585712478965273) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.020585712478965273) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.020585712478965273) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.020585712478965273) q[3];
cx q[1], ... | null | {"k": 5} | {"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(-0.197) 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",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
2.75,
-7.25,
-7,
-7.5,
-7,
-7,
-6.25,
-6.5,
-6.5
] | 0.972491 | [
0.020585712478965273,
-0.10740732213659304,
0.9806179744216011,
1.2066222500302057,
0.807373465491872,
-0.7383480177614887,
-0.583309434460934,
1.229770317245662,
0.029731332749984192,
-0.4028832613860345,
-0.11890009039048421,
0.19530480659012922,
0.3300174811368061,
-0.05473954150926055,... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 85 |
f490a28ecdd83f85cb7689547a0eb0f1 | 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": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [44, 19], "expectation_value": -0.36882508372196054, "params": [[0.0553, 0.060200000000000004, 0.0634], [-0.045000000000000005, -0.0489, -0.057]], "bitstrings": ["010011", "101100"], "total_optimization_steps": 10, "probabilities": [0.02252124940235579, 0.022521249402355798], "optimization_time": 2.824726581... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(4) + -0.5 * Z(0) + -0.5 * Z(5) + -1.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["101100", "101010", "001011", "010011"], "largest_eigenvalue": 6.0} | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"ZIIIIZ",
"IZIZII",
"ZIIZII",
"IIIZZI",
"IZZIII",
"IZIIII",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IIIIZI",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-1,
0,
0
] | 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 |
2ad6d55856f69d2786e314d4b42f7213 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 4, "target": 5},... | {"states": [2047, 2043], "expectation_value": -17.022289882699702, "params": [[[0.0028, 3.1618], [0.0035, -0.0029000000000000002], [0.0019, 0.0026000000000000003], [0.002, 0.002], [0.0019, 0.0019], [0.0021000000000000003, 0.0019], [0.002, 0.0021000000000000003], [-0.0028, 0.0021000000000000003], [1.6181, 0.002900000000... | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + -2.0 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(7)) + -2.0 * (Z(9) @ Z(10)) + -2.0 * (Z(2) @ Z(10)) + 0.5 * (Z(2) @ Z(9)) + -2.0 * (Z(3) @ Z(10)) + 0.5 * (Z(3) @ Z(9)) + -1.5 * (Z(3) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0)... | 15 | 11 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["00000000100"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.8161964773730656) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.17578210453040827) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.8161964773730656) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.17578210453040827) q[3];
cx q[1], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[11] c;
qubit[11... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIZIIIZI",
"IIIIIZIIIIZ",
"IIIIIZZIIII",
"IIIZZIIIIII",
"ZZIIIIIIIII",
"ZIIIIIIIZII",
"IZIIIIIIZII",
"ZIIIIIIZIII",
"IZIIIIIZIII",
"IIIIIIIZZII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIIIZIIII... | [
-2,
0.5,
-2,
0.5,
-2,
0.5,
-1,
-2,
-2,
0.5,
-2,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.507482 | [
0.8161964773730656,
0.17578210453040827,
1.06637342379313,
1.7117605936534868,
1.570796387100777,
0.8946108932270487
] | {
"n_parameters": 6,
"n_qubits": 11,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 175 |
0cd8bae9f3ba09d5e5d6ac36ba1aa2d4 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "s... | {"states": [0, 1], "expectation_value": -6.559863739882617, "params": [-0.0007, -0.0737, 0.0026000000000000003, 0.5214, 0.0029000000000000002, 0.5878, 0.0026000000000000003, 0.5984, -0.0014, 0.0053, 0.0024000000000000002, 0.5656, 0.0025, 0.5657, -0.0006000000000000001, -0.25980000000000003, 0.808, -0.0037, 0.0066, 0.00... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(6)) + 1.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(8) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(7)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z... | 4 | 9 | 2 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.0, "smallest_bitstrings": ["111111110", "110101010", "111101010", "110111110"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.23733041828786886) q[0];
ry(-0.6689264302586558) q[1];
rz(-pi) q[1];
h q[2];
ry(-0.6689264302586558) q[3];
rz(-pi) q[3];
h q[4];
ry(-0.20884722359973915) q[5];
rz(-pi) q[5];
h q[6];
ry(0.6665505976609354) q[6];
ry(-0.17228866328763726) q[7];
rz(-pi) 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[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIIIIIZZI",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"ZIIIIIZII",
"IIIZIZIII",
"IZIIIZIII",
"IIIZZIIII",
"IIZIZIIII",
"IZIIZIIII",
"ZIIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIZIIIII",
"IIZIIIIII",
"IIIIIIZII",
"... | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
1.75,
-0.25,
-0.25,
-0.5,
-1,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
0.25,
0.5,
0,
-1.25,
0.75,
0,
0.25
] | 0.971887 | [
-1.2073675314355201,
-0.4746608365757377,
1.7310739516609295,
-1.252421001575336,
-1.2953051354342926,
-0.005658193317766055,
1.3331011953218708,
1.4170028832734343,
-0.04560731809502762,
0.09290518136985806,
-0.19555665932058916,
-0.0960487809743433,
-1.7440528144016616,
-0.39572269317097... | {
"n_parameters": 29,
"n_qubits": 9,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 29 |
d1a7b7cf714c6ef8e95d1c5632642a08 | 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": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 6}, {"source": 5, "target": 6}, {"source": ... | {"states": [191, 959], "expectation_value": -9.838181984579476, "params": null, "bitstrings": ["1101000000", "0001000000"], "total_optimization_steps": 100, "probabilities": [0.13524956309819766, 0.44795159802916706], "optimization_time": 154.9801561832428} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + 0.5 * (Z(2) @ Z(8)) + -2.0 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5... | 5 | 10 | 1 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["0001000000"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.6594434473268916) q[0];
rz(2.4281580670868266) q[0];
rx(-0.1314305132701061) q[1];
rz(2.688737749938543) q[1];
rx(0.21738323931720602) q[2];
rz(2.42959789534798) q[2];
rx(0.05597814352993894) q[3];
rz(1.769410372235825) q[3];
rx(-1.409247516446352) q[4];
rz(2.763... | null | {"node": 3} | {"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];\ncry(1.5706) q[9], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... | [
"IIIIIIIIZZ",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIZZIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"IZIIIIIZII",
"IIZIIIIZII",
"ZIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIZIIIIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IZIIIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII",
"IIIIIIIZII",
"IIIIIIZIII"... | [
-1,
-1.5,
-1.5,
0.5,
-2,
0.5,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.924408 | [
-0.6594434473268918,
0.8573617402919295,
-0.13143051327010608,
1.117941423143645,
0.21738323931720602,
0.858801568553084,
0.05597814352993894,
0.19861404544092898,
-1.409247516446352,
1.1928817521818944,
-0.5334353707557503,
1.0263500870205093,
-1.2542149501203599,
0.7407077702430986,
-0... | {
"n_parameters": 199,
"n_qubits": 10,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 500 |
-7569537366820539295 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 11, 6, 7], [9, 10, 3, 5], [1, 2, 11, 4], [1, 10], [8, 11, 7], [2, 5], [8, 6], [1, 11, 4, 6], [8, 1, 7], [10, 4], [11, 4, 5, 7], [1, 4, 9], [0, 9, 7], [0, 11, 3, 5], [8, 4], [8, 0, 2, 3], [2, 6], [5, 6], [0, 10], [9, 3, 5, 1], [10, 2], [0, 2, 4], [0, 1... | {"states": [3565, 3475], "expectation_value": -5.69952509068883, "params": [[[3.1409000000000002, 0.0032], [3.1445000000000003, -0.0026000000000000003], [-0.003, 0.0022], [0.0015, 3.1388000000000003], [0.0024000000000000002, -0.0024000000000000002], [-0.004200000000000001, 1.6327], [0.0026000000000000003, 0.00290000000... | 0.25 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(8) @ Z(3)) + 0.08333333333333333 * (Z(8) @ Z(0)) + 0.3333333333333333 * (Z(9) @ Z(3)) + 0.25 * (Z(9) @ Z(0)) + 0.08333333333333333 * (Z(9) @ Z(8)) + 0.16666666666666666 * (Z(11) @ Z(0)) + 0.16666666666666666 * (Z(11) @ Z(9)) + 0.5 * (Z(2) @ Z(0)) + 0.08333333333333333 * (... | 15 | 12 | 1 | {"smallest_eigenvalues": [-6.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.083333333333332, "smallest_bitstrings": ["001001101100"], "largest_eigenvalue": 19.499999999999993} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(3.0759342849499225) q[0];
ry(3.1616002517887782) q[1];
ry(-0.03966319258539982) q[2];
ry(-0.12773515383933895) q[3];
ry(0.04647801163877624) q[4];
ry(-0.2026241828927664) q[5];
ry(-0.018748920019825407) q[6];
ry(3.159473557035948) q[7];
ry(-0.017389008576676232) q[8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIIZ",
"IIIZIIIIZIII",
"IIIZIIIIIIIZ",
"IIZIIIIIZIII",
"IIZIIIIIIIIZ",
"IIZZIIIIIIII",
"ZIIIIIIIIIIZ",
"ZIZIIIIIIIII",
"IIIIIIIIIZIZ",
"ZIIIIIIIIZII",
"IIIIIIZIZIII",
"IIIIIIZIIIIZ",
"ZIIIIIZIIIII",
"IIIIIIZIIZII",
"IIIIZIIIZIII",
"IIIIZIIIIIIZ",
"IIIZZIIIIIII",
"IIZIZIIII... | [
0.25,
0.16666666666666666,
0.08333333333333333,
0.3333333333333333,
0.25,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.25,
0.16666666666666666,
0.5,
0.0... | 0.975915 | [
3.0759342849499225,
3.1616002517887782,
-0.03966319258539982,
-0.12773515383933895,
0.04647801163877624,
-0.2026241828927664,
-0.018748920019825407,
3.159473557035948,
-0.017389008576676232,
0.1534812948483354,
2.578292873402789,
0.038414261396919974,
-0.03389485522096166,
0.06764183119339... | {
"n_parameters": 23,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 25 |
-4004897454765257894 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 4, 5, 6, 7], [3, 5, 6, 8, 9, 10, 11], [0, 1, 2, 3, 5, 7, 8, 11], [9, 2, 5, 6], [0, 2, 3, 4, 6, 8], [1, 9], [9, 6, 7], [1, 3, 4, 5, 6, 8, 10, 11], [2, 11, 4, 6], [0, 1, 2, 5, 6, 7, 10, 11], [0, 1, 2, 3, 4, 5, 10], [0, 3, 4, 5, 6], [0, 1, 4, 7, 10], [5,... | {"states": [1694, 1758], "expectation_value": -2.5694694015530883, "params": [0.5942000000000001, 0.5928, 0.9836, 0.9794, 1.5803, 1.5753000000000001, 0.5773, 0.5777, 1.4653, 1.4658, 0.8633000000000001, 0.8484, 0.6489, 0.6439, 1.5774000000000001, 1.5748, 1.5746, 1.5717, 1.5859, 1.582, 1.4522000000000002, 1.4425000000000... | 0.14166666666666666 * (Z(1) @ Z(6)) + 0.22499999999999998 * (Z(7) @ Z(6)) + 0.12738095238095237 * (Z(7) @ Z(1)) + 0.23452380952380952 * (Z(8) @ Z(6)) + 0.08571428571428572 * (Z(8) @ Z(1)) + 0.24285714285714283 * (Z(8) @ Z(7)) + 0.18333333333333335 * (Z(9) @ Z(6)) + 0.13571428571428573 * (Z(9) @ Z(1)) + 0.20238095238095... | 13 | 12 | 1 | {"smallest_eigenvalues": [-3.3333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.263095238095238, "smallest_bitstrings": ["100100100001"], "largest_eigenvalue": 14.499999999999995} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.1691806050718789) q[0];
rz(-0.035286186321236486) q[0];
ry(1.5328561422000866) q[1];
ry(1.4612802145361317) q[2];
ry(0.022512578629891367) q[3];
ry(1.7262475821283232) q[4];
ry(1.650858798118468) q[5];
ry(0.5914028712771062) q[6];
ry(1.3185961797770587) 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": []} | [
"IIIIIZIIIIZI",
"IIIIZZIIIIII",
"IIIIZIIIIIZI",
"IIIZIZIIIIII",
"IIIZIIIIIIZI",
"IIIZZIIIIIII",
"IIZIIZIIIIII",
"IIZIIIIIIIZI",
"IIZIZIIIIIII",
"IIZZIIIIIIII",
"IIIIIZZIIIII",
"IIIIIIZIIIZI",
"IIIIZIZIIIII",
"IIIZIIZIIIII",
"IIZIIIZIIIII",
"IZIIIZIIIIII",
"IZIIIIIIIIZI",
"IZIIZIIII... | [
0.14166666666666666,
0.22499999999999998,
0.12738095238095237,
0.23452380952380952,
0.08571428571428572,
0.24285714285714283,
0.18333333333333335,
0.13571428571428573,
0.20238095238095238,
0.23452380952380952,
0.125,
0.05952380952380952,
0.13333333333333333,
0.125,
0.017857142857142856,
... | 0.974035 | [
0.1691806050718789,
1.5328561422000866,
1.4612802145361317,
0.022512578629891367,
1.7262475821283232,
1.650858798118468,
0.5914028712771062,
1.3185961797770587,
1.7320662970866112,
1.8430721098162606,
1.4996598302408457,
0.04015077755660579,
-0.07057237264247297,
0.7757020336410678,
0.04... | {
"n_parameters": 47,
"n_qubits": 12,
"optimal_eigenvalue": -3.3333333333333335,
"target_ratio": 0.97,
"target_value": -3.2333333333333334
} | 17 |
533fcd480a5175680493f52fe07173d6 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, ... | {"states": [1, 37], "expectation_value": -13.149650203866983, "params": [-0.015000000000000001, 0.010700000000000001, -0.0019, -0.0002, -1.1095000000000002, -0.9316000000000001, -0.0025, -0.0019, 0.002, 0.0028, 0.0049, 0.0053, -0.0206, 0.0048000000000000004, 0.5167, 0.5164, -0.0021000000000000003, -0.002900000000000000... | -1.25 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(4)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(2)) + 2.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -1.0 * (Z(7)... | 14 | 8 | 3 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["11011010"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.24633714219781486) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.21817790403825055) q[4];
cx q[0], q[4];
h q[5];
h q[6];
cx q[1], q[6];
rz(0.21817790403825055) q[6];
cx q[1], q[6];
cx q[0], q[6];
cx q[1], q[3];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"IZIZIIII",
"IIIIZIZI",
"IIIIIZZI",
"IIIZIZII",
"IZIIIZII",
"IIZIZIII",
"IIZIIZII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIZIII",
"IIIIIZII",
"IIZIIIII",
"ZIIIIIII"
] | [
-1.25,
-0.25,
-0.25,
-0.5,
-1.5,
-0.25,
-1.5,
-0.75,
-0.75,
-0.75,
-1.25,
2.25,
-0.25,
-1,
-2.25,
-0.25,
0.5,
-1.5,
-1,
3,
0.5,
1
] | 0.970078 | [
0.24633714219781486,
0.21817790403825055,
0.199992130079758,
0.1953546771601644,
-0.14097260777717124,
-0.07642561716032488,
0.30474345781691703,
0.6989900081918277,
0.16619846372059824,
-0.778933966788156,
-0.9833885279660904,
1.522204508836878,
0.4784825986818201,
0.33645844578145834,
... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 312 |
95cd968028de95e9bd1f0d835e513284 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 5}, ... | {"states": [88, 38], "expectation_value": -0.1022745007047373, "params": [[0.057300000000000004], [-0.0465]], "bitstrings": ["0100111", "1011001"], "total_optimization_steps": 10, "probabilities": [0.008359612830765573, 0.008448468148346561], "optimization_time": 2.6224846839904785} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * Z(4) + -1.0 * Z(0) + -1.5 * Z(5) + -1.0 * Z(6) + -0.5 * Z(2) + -0.5 * Z(1) + -0.5 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1100110", "0100111", "1100011", "1011001"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.10468843332687085) q[0];
rz(0.17672023219230937) q[0];
rx(0.6623012323552471) q[1];
rz(-0.15956739999083158) q[1];
rx(0.028706933005168817) q[2];
rz(-0.6336621450124555) q[2];
rx(-0.45422356314339846) q[3];
rz(0.5476974900642233) q[3];
rx(0.3990766685472579) 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[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[4], q[6];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IZIIIIZ",
"ZIZIIII",
"ZIIIIIZ",
"ZZIIIII",
"IZIIZII",
"IIIIZZI",
"IZIZIII",
"IIIZIZI",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIIIZI",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
-1,
-0.5,
-0.5,
-0.5
] | 0.972173 | [
-0.10468843332687085,
0.29840746196258483,
0.662301232355247,
0.033203472962293944,
0.028706933005168814,
-0.5015033513355869,
-0.4542235631433985,
0.6221015474734747,
0.399076668547258,
0.23293563657159388,
0.29431187405811615,
-0.24058685261158946,
0.3612418143901153,
0.06365176819014363... | {
"n_parameters": 176,
"n_qubits": 9,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 128 |
5c98350c1bcf1da2fcaddbe60b0ac381 | 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": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [69, 197], "expectation_value": -3.2750530918517513, "params": [0.48560000000000003, 0.00030000000000000003, 0.4798, 0.0001, 0.509, -0.0031000000000000003, 0.5068, -0.0018000000000000002, 0.0014, 0.2587, -0.0004, 0.2661, 0.0551, 0.3064, 0.0505, 0.3078, 0.030600000000000002, 0.2892, 0.0341, 0.2975, 0.5062, 0.... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + -1.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(6) + -1.0 * Z(4) + 0.0 * Z(1) + -1.5 * Z(2) + -0.5 * Z(5) + 0.0 * Z(7) | 7 | 8 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["10101100", "10101010", "00111010", "01110010"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.8879287484982673) q[0];
rz(-0.0805780138349137) q[0];
rx(0.6727278910777134) q[1];
rz(-0.0251310993302684) q[1];
cx q[1], q[0];
rz(-0.02761548108449003) q[0];
cx q[1], q[0];
rz(1.5036649280587042) q[0];
ry(1.4092940244787135) q[0];
rz(-1.7446618727153458) q[0];
rx(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IZIIIIIZ",
"IIIZZIII",
"IIIZIIZI",
"IIIIZZII",
"IIIZIZII",
"IZZIIIII",
"IIZIIZII",
"ZIIIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIZIIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-1,
0,
-1.5,
-0.5,
0
] | 0.979114 | [
0.8879287484982672,
-0.10819349491940383,
0.6727278910777134,
-0.0251310993302684,
0.0008623557252206704,
0.1460104881923905,
0.13412067940142836,
-0.022314794557890635,
-0.006876693819103427,
0.21590101380335056,
0.7621753054699687,
-0.31380835351646313,
0.04728330625802389,
0.40960549046... | {
"n_parameters": 72,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 9 |
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