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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
06ec716f7c6c63b1aba8eac15fa44d26 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 3... | {"states": [64, 63], "expectation_value": -0.3071162656241312, "params": [[0.07100000000000001], [-0.0685]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.009862686916647299, 0.010006158768472948], "optimization_time": 1.9560856819152832} | -0.25 * (Z(0) @ Z(5)) + -1.5 * (Z(1) @ Z(5)) + -0.75 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(3)) + 1.0 * Z(5) + -0.25 * Z(0) + -0.5 * Z(1) + 0.5 * Z(2) + -1.0 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 7.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(0.14662944682209153) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(0.03207041332105976) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(-0.004657991275908549) q[2];
cx q[5], q[2];
cx q[1], q[2];
rz(0.14662944682209153) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"IZIIIZI",
"IZIIZII",
"IIIIZZI",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IIZZIII",
"ZZIIIII",
"ZIIIIIZ",
"ZIIZIII",
"IZIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII"
] | [
-0.25,
-1.5,
-0.75,
-0.25,
-0.75,
-0.25,
-1.25,
-0.75,
-0.5,
0.5,
-0.5,
1,
-0.25,
-0.5,
0.5,
-1,
0.75,
-0.5
] | 0.946282 | [
0.14662944682209153,
0.03207041332105976,
-0.004657991275908549,
-0.06255413879699266,
-0.11688910112479409,
-1.1040750932319774,
-1.0882832930196775,
-1.1385645611061024,
-1.0610330425854635,
1.4322711339057295,
0.5063761691342662,
0.28481786844050344,
0.26423677171838056,
-0.262978351077... | {
"n_parameters": 40,
"n_qubits": 7,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 500 |
d030c61aecb3e0005b1eeeae4c1beaf6 | 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": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, {"source": ... | {"states": [15, 783], "expectation_value": -12.85519039422625, "params": null, "bitstrings": ["1111110000", "0011110000"], "total_optimization_steps": 100, "probabilities": [0.09712129100844916, 0.47081594019344414], "optimization_time": 216.70089054107666} | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(5)) + 1.0 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(6) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(6)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 1.5 * Z(5) + -2.0 * Z(2... | 1 | 10 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["0011110000"], "largest_eigenvalue": 20.5} | 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... | null | {"node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[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... | [
"IIIIIIIIZZ",
"IIIIZIIZII",
"IIIIIIZZII",
"IIIIZZIIII",
"IIIIIZIZII",
"IIIIIZZIII",
"IZIZIIIIII",
"ZZIIIIIIII",
"ZIIZIIIIII",
"IZZIIIIIII",
"IIZZIIIIII",
"ZIZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIZIIIII",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIIZIIII",
"IZIIIIIIII",
"IIIZIIIIII"... | [
-1,
-2,
0.5,
-2,
1,
0.5,
-2,
-2,
-1.5,
-2,
0.5,
0.5,
0.5,
0.5,
1.5,
-2,
-1.5,
-2,
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 |
717427729600501566 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 4], [0, 1, 2, 3, 5, 6], [8, 0, 3], [8, 0, 5], [0, 4, 6], [6, 7]]} | {"states": [378, 453], "expectation_value": -0.04559214707615375, "params": [[-0.06720000000000001], [0.07200000000000001]], "bitstrings": ["010000101", "000111010"], "total_optimization_steps": 10, "probabilities": [0.002096265315276226, 0.0020963596888606576], "optimization_time": 5.031919240951538} | 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.03333333333333333 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(0)) + 0.03333333333333333 * (Z(3) @ Z(1)) + 0.19999999999999998 * (Z(3) @ Z(0)) + 0.03333333333333333 * (Z(3) @ Z(2)) + 0.03333333333333333 * (Z(5) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.2], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.1999999999999997, "smallest_bitstrings": ["000111010"], "largest_eigenvalue": 4.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(1.5891458344522875) q[0];
h q[1];
h q[2];
h q[3];
ry(-0.06034977521682322) q[3];
h q[4];
ry(-0.3388112416957219) q[4];
cx q[1], q[4];
ry(0.3388112416957219) q[4];
cx q[1], q[4];
ry(1.3099294543825362) q[1];
cx q[0], q[1];
ry(-0.36884614911575636) q[1];
cx q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[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[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIIZII",
"IIIZIZIII",
"IIZIZIIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"IIZIIZIII",
"IIZZIIIII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"ZIIZIIIII",
"... | [
0.5,
0.16666666666666666,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.19999999999999998,
0.03333333333333333,
0.03333333333333333,
0.19999999999999998,
0.03333333333333333,
0.03333333333333333,
0.16666666666666666,
0.03333333333333333,
0.19999999... | 0.975078 | [
1.5891458344522875,
-0.6776224833914438,
0.9410833052667799,
-0.8910065558609908,
0.6321481634948447,
-0.6363469215447972,
0.7376922982315127,
-0.3995494537925497,
0.5908908154325669,
-0.2281832457089468,
-0.25958583583887784,
0.3628176761478928,
-0.3157758351116737,
-0.10683431132083276,
... | {
"n_parameters": 55,
"n_qubits": 9,
"optimal_eigenvalue": -2.2,
"target_ratio": 0.97,
"target_value": -2.134
} | 20 |
4414867571136143966 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 4], [0, 3, 5], [3, 5, 6], [1, 6, 7], [2, 3, 7], [1, 2, 3]]} | {"states": [229, 93], "expectation_value": -0.06528011278011457, "params": [[0.0772], [-0.0811]], "bitstrings": ["00011010", "10100010"], "total_optimization_steps": 10, "probabilities": [0.004170515131318386, 0.004204780273384417], "optimization_time": 2.0146470069885254} | 0.3333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.666666666666667, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 5.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.18704322371134413) q[0];
h q[1];
ry(1.2530220838112014) q[1];
h q[2];
ry(-0.41394269599555183) q[2];
cx q[1], q[2];
ry(0.41394269599555183) q[2];
cx q[1], q[2];
ry(0.02825487802883335) q[1];
ry(-0.2696917692398946) q[2];
h q[3];
ry(1.5926636653983983) 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;
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[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(x1) q[4];
cx q[2], q[4];
cx q[1], q... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIZIZII",
"IIIZIIZI",
"IIIIZZII",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIZIII",
"IIZIIIIZ",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIIIIZI",
"ZIIIZIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIZIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,... | 0.976851 | [
1.5926636653983983,
1.2530220838112014,
-0.8278853919911037,
0.0565097560576667,
-0.5393835384797891,
0.6997642402920821,
0.8749931453728178,
-0.3414657324200969,
-0.5750356730248876,
0.4661499113456466,
-0.6712791990779794,
0.41169796366059586,
0.49414882173117,
-0.46008328359088724,
-0... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 1 |
6e27c825b578bdc34d46b278685ce298 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 7}, {"capacity": 3, "source": 0, "target": 9}, {"capac... | {"states": [9, 169], "expectation_value": -5.680863912541489, "params": [[0.1603], [-0.1602]], "bitstrings": ["1111110110", "1101010110"], "total_optimization_steps": 20, "probabilities": [0.006501232200262911, 0.008163611319261875], "optimization_time": 3.540637254714966} | -0.5 * (Z(0) @ Z(3)) + -1.25 * (Z(7) @ Z(0)) + 2.0 * (Z(9) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(7)) + -0.75 * (Z(5) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -1.25 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(5)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(7)) + -1.25 * (Z(2) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-24.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.25, "smallest_bitstrings": ["1101010110"], "largest_eigenvalue": 17.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.02588134688681191) q[0];
rz(-0.002875099022831489) q[0];
ry(-0.02588134688681191) q[1];
ry(-1.3144522944941073) q[2];
ry(0.05786322026437553) q[3];
ry(2.0039603991160697) q[4];
ry(-0.020815638617393103) q[5];
ry(3.115250672394726) q[6];
ry(-0.0454810203739918) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIZIIIIIIZ",
"ZIIIIIIIIZ",
"IIIIIIZIZI",
"IIZIIIIIZI",
"IIZIZIIIII",
"IIIIZIIIZI",
"IZIIIIZIII",
"IZZIIIIIII",
"IZIIIIIIZI",
"IZIIZIIIII",
"IIIIIIZZII",
"IIZIIIIZII",
"IIIIIIIZZI",
"IIIIZIIZII",
"ZIIIIZIIII",
"IIIIIZIZII",
"IIIZIIZIII",
"IIIZIIIIZI",
"IIIZZIIIII"... | [
-0.5,
-1.25,
2,
-1,
-0.5,
-0.75,
-1.5,
-1.25,
-0.5,
-0.75,
-0.75,
-0.25,
-0.5,
-1.25,
-0.5,
-0.75,
-2,
-0.25,
-1.25,
-0.75,
-1,
-1,
-0.75,
-0.25,
-1,
1.25,
-1.25,
-1.75,
-2.75,
1,
1.25,
4.25
] | 0.982027 | [
-0.02588134688681191,
-1.3144522944941073,
0.05786322026437553,
2.0039603991160697,
-0.020815638617393103,
3.115250672394726,
-0.0454810203739918,
1.5273488783416482,
-0.005750198045662978,
2.8598473440870893,
2.277316628375472,
-0.9628406402643637,
2.8897114141337714,
0.6971036435387551,
... | {
"n_parameters": 33,
"n_qubits": 10,
"optimal_eigenvalue": -24.25,
"target_ratio": 0.97,
"target_value": -23.5225
} | 8 |
7e25bc80cdf895181c3cb661afbef0b1 | 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}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 5, "ta... | {"states": [0, 127], "expectation_value": -9.000109839314437, "params": [0.6537000000000001, 0.2378, -0.1192, 0.4494, 0.8149000000000001, 0.7512000000000001, -0.1125, 0.7656000000000001, 0.7866000000000001, 1.107, 0.0284, 0.9745, 0.8038000000000001, 1.2227000000000001, 0.027600000000000003, 1.0026000000000002, 0.7812, ... | -2.0 * (Z(0) @ Z(2)) + 1.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(0)) + -2.5 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -2.0 * (Z(3) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(1) + 0.5 * Z(3) + 1.0 * Z(6) + -1.0 * Z(5) | 6 | 7 | 4 | {"smallest_eigenvalues": [-12.0, -12.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.0, "smallest_bitstrings": ["0000000", "0000011"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.017476947906633025) q[0];
h q[1];
ry(-0.017476947906633025) q[1];
h q[2];
cx q[2], q[0];
ry(0.017476947906633025) q[0];
cx q[2], q[0];
ry(1.4420336088757544) q[0];
ry(1.0582024825935825) q[2];
cx q[0], q[2];
ry(-0.44225595418592595) q[2];
cx q[0], q[2];
h ... | 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": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIZIZII",
"IIZIIIZ",
"IIIIZZI",
"IIIIIZZ",
"IIZIIZI",
"IIIZZII",
"IIZZIII",
"IIIZIZI",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IZIIIII"
] | [
-2,
1,
-2,
-2.5,
1,
-2.5,
0.5,
0.5,
-2,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1
] | 0.975588 | [
-0.03495389581326605,
1.221876092305446,
0.6159465284076566,
1.7892887981254249,
1.4420336088757544,
2.120937764266375,
0.5457315952685766,
0.8845119083718519,
0.18980440480586566,
0.19334068844138372,
1.32879701812558,
0.7149079133849797,
0.33121195677480897,
0.8051287289711053,
-1.2026... | {
"n_parameters": 41,
"n_qubits": 7,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 48 |
8eaaab53dc56c7e01d8596f84d405ff0 | 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": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [316, 109], "expectation_value": -0.8274978507344106, "params": [[-0.0129, 0.006200000000000001], [0.0111, -0.0039000000000000003]], "bitstrings": ["011000011", "110010010"], "total_optimization_steps": 10, "probabilities": [0.002033128068062419, 0.002047817252723675], "optimization_time": 3.270616054534912} | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(1) @ Z(3)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(0)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(6) @ Z(7)) + 5.0 * (Z(8) @ Z(4)) + 18.5 * Z(2) + 2.0 * Z(0) + 18.0 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-79.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.5, "smallest_bitstrings": ["110010010"], "largest_eigenvalue": 149.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(1.6425456056842515e-08) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(1.6425456056842515e-08) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(1.6425456056842515e-08) q[1];
cx q[3], q[1];
h q[4];
cx q[2], q[4];
rz(1.6425456056842515e-08)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIIIIZ",
"IZIZIIIII",
"IIZIIZIII",
"IIZIIIIZI",
"IIZZIIIII",
"IZZIIIIII",
"ZIIIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"IIZIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
18.5,
2,
18,
1.5,
9.5,
15.5,
2,
16.5,
1
] | 0.962264 | [
1.6425456056842515e-8,
-1.5707963626926205,
1.5707963468161004,
-1.570796436776604,
1.5707963343884328,
-1.570796259250273,
-1.5707963250892218,
-1.57079635230389,
1.5707964491669808,
1.5707963194718333,
-0.2109539820422815,
0.59071368444946,
-1.00122536508681,
-1.380868025251376,
0.1095... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -79.5,
"target_ratio": 0.97,
"target_value": -77.115
} | 459 |
f438dd84874324e8039dc4edeb3bf57b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [31, 29], "expectation_value": -1.1078635569787778, "params": [[-0.0273, -0.0546, -0.034300000000000004, -0.0089], [-0.018500000000000003, 0.0596, 0.050800000000000005, 0.023200000000000002]], "bitstrings": ["100000", "100010"], "total_optimization_steps": 10, "probabilities": [0.026264332998972593, 0.028176... | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + 0.0 * Z(2) + -1.5 * Z(5) + 1.5 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["100010"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.08518445392886709) q[0];
h q[1];
ry(0.7344530129428192) q[1];
h q[2];
cx q[2], q[1];
ry(-0.7344530129428192) q[1];
cx q[2], q[1];
ry(1.0101684841631557) q[1];
ry(0.3778026982403184) q[2];
h q[3];
ry(1.4689060258856383) q[3];
cx q[3], q[2];
ry(-0.37780269824... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"IZIIZI",
"IZIZII",
"IIIZZI",
"ZIIIIZ",
"ZIIIZI",
"ZIIZII",
"IIZIZI",
"IIZZII",
"ZIZIII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"ZIIIII",
"IIZIII"
] | [
-0.75,
-0.5,
-0.5,
-2,
1,
-1,
-0.75,
-0.5,
-0.25,
-0.75,
-0.75,
-0.25,
1,
0,
-1.5,
1.5
] | 0.970023 | [
1.4689060258856383,
0.7556053964806368,
1.0101684841631557,
0.7450025616198421,
1.116283706090253,
0.17036890785773418,
-1.7697599114863298,
-0.4403637208421415,
1.9537061785283334,
-1.0502727024979575,
-0.15078201215917703,
-0.018246425341645917,
0.10291598989964974,
0.5684135011893949,
... | {
"n_parameters": 19,
"n_qubits": 6,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 137 |
690ab9a303c84e82b8d6c798626278a5 | 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": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [0, 832], "expectation_value": -41.96640188295276, "params": [0.4863, 0.10980000000000001, 0.3961, 0.1075, 0.49150000000000005, 0.22460000000000002, 0.3957, 0.4731, -0.0049, 0.752, -0.004, 0.48040000000000005, 0.47340000000000004, 0.4358, 0.4277, 0.47600000000000003, 0.002, 0.49570000000000003, -0.0002, 0.41... | -1.5 * (Z(0) @ Z(3)) + -1.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + -3.5 * (Z(4) @ Z(5)) + -4.0 * (Z(6) @ Z(5)) + -3.5 * (Z(6) @ Z(4)) + 1.0 * (Z(9) @ Z(5)) + -3.5 * (Z(9) @ Z(4)) + -3.5 * (Z(9) @ Z(6)) + 1.5 * (Z(2) @ Z(5)) + -3.5 * (Z(2) @ Z(4)) + -4.0 * (Z(2) @ Z(6)) + -3.5 * (Z(2) @ Z(9)) + -3.0 * (Z(8) @ Z(5)) + 1... | 6 | 10 | 3 | {"smallest_eigenvalues": [-43.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -40.0, "smallest_bitstrings": ["0010111111"], "largest_eigenvalue": 42.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.0713131931509305) q[0];
rz(1.7862098367790207) q[0];
rx(1.0594819371364768) q[1];
rz(1.5589265290462944) q[1];
rx(0.01573601181023064) q[2];
rz(2.2817926178052783) q[2];
rx(0.6615662260196581) q[3];
rz(2.620309016787145) q[3];
rx(0.03153201728100909) q[4];
rz(-3.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIIZIZI",
"IIIIIIIIZZ",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIZIZIIII",
"ZIIIZIIIII",
"ZIIIIZIIII",
"ZIIZIIIIII",
"IIIIZIIZII",
"IIIIIZIZII",
"IIIZIIIZII",
"ZIIIIIIZII",
"IZIIZIIIII",
"IZIIIZIIII",
"IZIZIIIIII",
"ZZIIIIIIII",
"IZIIIIIZII",
"IIZIZIIIII",
"IIZIIZIIII"... | [
-1.5,
-1.5,
0.5,
-3.5,
-4,
-3.5,
1,
-3.5,
-3.5,
1.5,
-3.5,
-4,
-3.5,
-3,
1,
1.5,
1,
-4,
1,
1,
-4,
-3,
1.5,
-3,
0.5,
0.5,
0.5,
1.5,
-2.5,
-3,
2,
-2.5,
1,
1
] | 0.970425 | [
1.0713131931509308,
0.2154135099841242,
1.0594819371364768,
-0.011869797748602046,
0.01573601181023064,
0.7109962910103812,
0.6615662260196581,
1.049512689992248,
0.031532017281009087,
1.6276333307871536,
0.011405340564087828,
1.8244243881924735,
0.033834528725764666,
0.81374651859747,
0... | {
"n_parameters": 94,
"n_qubits": 10,
"optimal_eigenvalue": -43,
"target_ratio": 0.97,
"target_value": -41.71
} | 72 |
f156f991f453bf2551660b1dc00bf1f6 | 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": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 3, "s... | {"states": [0, 1], "expectation_value": -14.924126280688066, "params": [0.0011, 0.46730000000000005, 0.0024000000000000002, 0.6091, -0.0028, 0.6055, 0.0005, 0.275, 0.0029000000000000002, 0.5949, 0.0025, 0.6026, 0.002, 0.433, 0.0027, 0.5933, 0.8107000000000001, 0.0037, 0.001, 0.1177, 0.0024000000000000002, -0.2425000000... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(4)) + -1.0 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(7... | 4 | 9 | 2 | {"smallest_eigenvalues": [-18.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 20.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.12570712515330748) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.12570712515330748) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.22704783355376354) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.22704783355376354) 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[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IZIIIIZII",
"IZIIIZIII",
"IZIIZIIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIIZIII",
"IZZIIIIII",
"IIZZIIIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
-0.5,
-0.5,
-1,
-1,
-0.75,
-1,
-0.75,
-1,
-0.25,
-1,
-1.5,
-1,
-1,
-1,
-0.75,
3,
-1,
-0.25,
-3.5,
-0.25,
-0.75,
1.5,
1.5,
-2,
-0.25,
2,
1.75
] | 0.569152 | [
-0.12570712515330748,
-0.22704783355376354,
-0.5549918258138725,
-0.37992434425719607,
-1.068212924335073,
0.9192695580131233,
-1.396744275441003,
0.02980346737333757,
-1.107224868469489,
0.40004090429014577,
0.8474854472406951,
-1.0331853808194436
] | {
"n_parameters": 12,
"n_qubits": 9,
"optimal_eigenvalue": -18.25,
"target_ratio": 0.97,
"target_value": -17.7025
} | 285 |
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": -6.410069921740056, "params": [[0.0663], [-0.075]], "bitstrings": ["10111100", "11111000"], "total_optimization_steps": 10, "probabilities": [0.006642232888030426, 0.00698012164175073], "optimization_time": 5.365910053253174} | 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... | 6 | 8 | 1 | {"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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1],... | {"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 |
ea4a93bee4e48b0d6ca857e85c4ec3f0 | 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}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [255, 3], "expectation_value": -3.424867774239904, "params": [[-0.062400000000000004], [0.0711]], "bitstrings": ["00000000", "11111100"], "total_optimization_steps": 10, "probabilities": [0.007040165189104788, 0.007227218514767587], "optimization_time": 1.0063679218292236} | -3.0 * (Z(0) @ Z(2)) + -3.5 * (Z(3) @ Z(2)) + -3.5 * (Z(3) @ Z(0)) + -3.5 * (Z(1) @ Z(2)) + 1.5 * (Z(1) @ Z(0)) + -3.5 * (Z(1) @ Z(3)) + 1.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -3.5 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(1)) + -3.5 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(3)) + 1.5 * (Z(5) @ Z(1)) + -2.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-36.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.0, "smallest_bitstrings": ["11111100"], "largest_eigenvalue": 26.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.05499676029279343) q[0];
rz(1.6439617071610861) q[0];
rx(-0.04074962390921216) q[1];
rz(1.55425922992608) q[1];
rx(-0.04074962390921216) q[2];
rz(1.445967124845378) q[2];
rx(-0.008567072577523158) q[3];
rz(1.445967124845378) q[3];
rx(-0.04074962390921216) 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;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
r... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZIZI",
"IIIZIZII",
"IIIZIIIZ",
"IIIZZIII",
"IIIZIIZI",
"IIZIIZII",
"IIZIIIIZ",
"IIZIZIII",
"IIZIIIZI",
"IIZZIIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"ZIIIIII... | [
-3,
-3.5,
-3.5,
-3.5,
1.5,
-3.5,
1.5,
0.5,
-3.5,
-3,
-3.5,
1,
-3.5,
1.5,
-2.5,
-1,
-2.5,
-2,
-3,
-2.5,
1.5,
1.5,
0.5,
0.5
] | 0.970749 | [
0.054996760292793434,
0.07316538036618989,
-0.04074962390921216,
-0.016537096868816645,
-0.12482920194951916,
-0.008567072577523156,
-0.10962672130508105,
-0.02885711566689845,
1.0350283986260091,
0.3642926405726907,
-0.16248186036595688,
1.5948082542142814,
0.01820725357974109,
2.90555184... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -36,
"target_ratio": 0.97,
"target_value": -34.92
} | 1 |
b344bf11fd2b0d54716c798349481038 | 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": [95, 94], "expectation_value": -62.553282678355416, "params": [0.3987, 0.9396, 1.5052, 0.38120000000000004, 0.2802, 0.8797, 1.4967000000000001, 0.0059, 1.4903000000000002, 0.0059, 1.4944000000000002, -0.0031000000000000003, 1.4912, -0.14600000000000002, 0.8589, -0.2308, 0.38180000000000003, 0.0063, 1.4977, 0... | 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(5) @ Z(0)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(7) @ Z(3)) + 6.0 * (Z(7) @ Z(5)) + 6.0 * (Z(7) @ Z(4)) + 6.0 * (Z(6) @ Z(2)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(6) @ Z(7)) + 4.0 * Z(1) + 3.0 * Z(0) + 6.0 * Z(3) + 2.0 * Z(2) + 20.0 * Z(5) + 13.5 * Z(4) ... | 18 | 8 | 2 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["10100001"], "largest_eigenvalue": 151.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.06331162437267966) q[0];
rz(0.804198169022901) q[0];
rx(0.9695558675608814) q[1];
rz(0.1525536178395335) q[1];
rx(0.11225391928623471) q[2];
rz(0.36715906674375476) q[2];
rx(1.1738440315656902) q[3];
rz(0.032249253966819075) q[3];
rx(1.0771063570236428) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIZIIIIZ",
"IIZZIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZIIZIIII",
"IZIIIZII",
"IZZIIIII",
"IZIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIZIIIII",
"IIIZIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
4,
3,
6,
2,
20,
13.5,
15.5,
21.5
] | 0.973244 | [
0.06331162437267966,
0.60787854139514,
0.9695558675608814,
0.1525536178395335,
0.11225391928623471,
0.36715906674375476,
1.1738440315656902,
0.032249253966819075,
1.0771063570236428,
0.2156027422453493,
0.9112833553820555,
0.08038744284119,
0.965725569218815,
-0.2230024439157106,
0.24806... | {
"n_parameters": 71,
"n_qubits": 8,
"optimal_eigenvalue": -74.5,
"target_ratio": 0.97,
"target_value": -72.265
} | 6 |
7e286c90f17ff7394c4075cb20f3e88f | 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": 16, "source": 0, "target": 2}, {"weight": 11, "source": 0, "target": 5}, {"weight": 13, "source": 0, "tar... | {"states": [422, 244], "expectation_value": -24.475577557865112, "params": [[0.0443, -0.0374, -0.040600000000000004, -0.0179], [-0.08020000000000001, -0.0048000000000000004, 0.0546, 0.056900000000000006]], "bitstrings": ["001011001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.011050122599116691, ... | 4.5 * (Z(0) @ Z(3)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(6)) + 15.5 * Z(3) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-79.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 154.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.050938511907527545) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.050938511907527545) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(0.050938511907527545) q[1];
cx q[0], q[1];
cx q[3], q[2];
rz(0.050938511907527545) q[2];
cx 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": []} | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIZIIIZ",
"IIIZIIIZI",
"IIZIIIIZI",
"IIZZIIIII",
"IZIIIIZII",
"IZIIZIIII",
"ZIIIIZIII",
"ZIZIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
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,
15.5,
9.5,
21.5,
14.5,
8.5,
2.5,
11.5,
5,
2.5
] | 0.977207 | [
0.050938511907527545,
1.5110427598651417,
-1.3453737194952657,
1.6793906775993144,
1.648585338732644,
1.5483490016537944,
-1.7084981758957947,
1.5072914727695665,
-0.9400283298899536,
-1.5223856545642962
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -79,
"target_ratio": 0.97,
"target_value": -76.63
} | 51 |
16edd6d435844ab847eda41870086bbb | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [679, 678], "expectation_value": -64.93690113252325, "params": [0.6026, 0.0106, -0.0032, 0.4102, 0.5984, 0.1231, 0.0015, 0.3262, 0.6082000000000001, 0.1814, -0.00030000000000000003, 0.37270000000000003, 0.0015, 0.4509, 0.5920000000000001, 0.0224, 0.5951000000000001, -0.0697, 0.3128, -0.1504, 0.60610000000000... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(9) @ Z(7)) + 7.5 * (Z(8) @ Z(2)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(8) @ Z(9)) + -7.0 * Z(1) + 0.5 * Z(0) + -3.0 * Z(3) + 7.5 * Z(2) + -3.5 * Z(5) + 1.5 * Z(4) + 7.5 * Z(7) + 2.0 * Z(9) + 17.0 * Z(8) + -14.5 * Z(6) | 18 | 10 | 4 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.5, "smallest_bitstrings": ["0101011001"], "largest_eigenvalue": 106.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.9203172410352823) q[0];
rz(0.07851594787965466) q[0];
rx(0.007863674881912626) q[1];
rz(0.27197419769655756) q[1];
rx(0.7746744721410462) q[2];
rz(0.07539339895830809) q[2];
rx(-0.09504024714987136) q[3];
rz(0.4032844102517585) q[3];
rx(0.8358891801917303) 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], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIZZIIII",
"ZIZIIIIIII",
"IZIIIIIZII",
"IZZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIZIIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIIZIIIIII"
] | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
-7,
0.5,
-3,
7.5,
-3.5,
1.5,
7.5,
2,
17,
-14.5
] | 0.9804 | [
0.9203172410352823,
-0.08029155460977652,
0.007863674881912626,
0.27197419769655756,
0.7746744721410462,
0.07539339895830809,
-0.09504024714987136,
0.4032844102517585,
0.8358891801917303,
0.041050794435785916,
-0.09192073668936773,
0.23994100091471177,
0.6437831433522863,
0.727787482144802... | {
"n_parameters": 112,
"n_qubits": 10,
"optimal_eigenvalue": -82.5,
"target_ratio": 0.97,
"target_value": -80.02499999999999
} | 9 |
2653443677327490875 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 2, 3, 4, 5, 6, 8, 9, 11], [1, 2, 4, 6, 7, 8, 9, 10, 11], [1, 2, 3, 4, 6, 7, 8, 11], [0, 1, 4, 5, 6, 8, 9, 10, 11], [1, 2, 3, 7, 10], [0, 2, 3, 4, 5, 6, 7, 8, 9, 10], [2, 4, 5, 6, 7, 8, 9, 11], [1, 4, 5, 6, 7, 11], [1, 3, 4, 6, 7, 8, 9, 11], [0, 1, ... | {"states": [2999, 2030], "expectation_value": -2.3084035978890087, "params": [[0.37010000000000004], [-0.3647]], "bitstrings": ["010001001000", "100000010001"], "total_optimization_steps": 40, "probabilities": [0.0011317303086088109, 0.0011735717347713312], "optimization_time": 71.38169884681702} | 0.09007936507936508 * (Z(0) @ Z(1)) + 0.19404761904761902 * (Z(2) @ Z(1)) + 0.08888888888888888 * (Z(2) @ Z(0)) + 0.1964285714285714 * (Z(3) @ Z(1)) + 0.053968253968253964 * (Z(3) @ Z(0)) + 0.17579365079365078 * (Z(3) @ Z(2)) + 0.13968253968253969 * (Z(4) @ Z(1)) + 0.10119047619047619 * (Z(4) @ Z(0)) + 0.10515873015873... | 1 | 12 | 1 | {"smallest_eigenvalues": [-3.02896825396825], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0067460317460313, "smallest_bitstrings": ["100000010001"], "largest_eigenvalue": 16.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.22859126976929997) q[0];
rz(0.04550368793682733) q[0];
rx(3.1919710751342616) q[1];
rz(0.04550368793682733) q[1];
rx(2.1393307473619925) q[2];
rz(0.04727857837896435) q[2];
rx(3.0334039391415044) q[3];
rz(-0.4440450518942932) q[3];
rx(3.1919710751342616) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIIIIIZIIZII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIZI",
"IIIIIZIIIIIZ",
"IIIIIZIII... | [
0.09007936507936508,
0.19404761904761902,
0.08888888888888888,
0.1964285714285714,
0.053968253968253964,
0.17579365079365078,
0.13968253968253969,
0.10119047619047619,
0.10515873015873015,
0.0896825396825397,
0.14007936507936508,
0.08333333333333334,
0.14126984126984127,
0.1539682539682539... | 0.972498 | [
0.22859126976929997,
0.04550368793682733,
3.1919710751342616,
2.1393307473619925,
0.04727857837896435,
3.0334039391415044,
-0.4440450518942932,
-0.2847199247454798,
3.19161878296368,
-0.1220283786561578,
2.6673105119332527,
0.2590303181703623,
0.22180426235973566,
-0.23105159916255302,
3... | {
"n_parameters": 21,
"n_qubits": 12,
"optimal_eigenvalue": -3.02896825396825,
"target_ratio": 0.97,
"target_value": -2.9380992063492024
} | 7 |
f20b14ccaf46fd91ed39b9c05edbe906 | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 30, "source": 0, "target": 3}, {"weight": 27, "source": 0, "target": 4}, {"weight": 32, "source": 0, "target": 2}, {"weight": 10, "source... | {"states": [2007, 1751], "expectation_value": -6.77791646068029, "params": [0.49860000000000004, 0.0095, 0.5064000000000001, 0.0122, 0.5586, 0.0198, 0.5794, 0.0178, 0.3972, 0.1168, 0.40690000000000004, 0.1193, 0.6074, 0.0236, 0.6701, 0.0497, 0.5548000000000001, -0.0044, 0.5474, 0.0006000000000000001, 0.1748, 0.27890000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.25 * (Z(8) @ Z(0)) + 0.25 * (Z(... | 5 | 11 | 3 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.5, "smallest_bitstrings": ["00110101000", "10000100010", "00100101000", "10000100011"], "largest_eigenvalue": 22.5} | 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];
... | 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... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIZIIIZ",
"IIIIIZIIIZI",
"IIIIIZZIIII",
"IIIIZIIIZII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIZIIIIIZI",
"IIIZIIIIIIZ",
"IIIZIIZIIII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIZIIIIIZII",
"IIZIIZIIIII",
"IIZZIIIIIII",
"IZIIIIIIIZI",
"IZIIIIIIZ... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
1.5,
1.25,
1.5,
1,
1,
1,
1.25,
1.5,
1.5,
0.25,
0.25
] | 0.991552 | [
1.626920252534508,
1.6318833541680478,
1.6752597443559405,
1.4055255953993955,
-1.4295766281031363,
1.526293908737557,
1.4857719885790526,
-1.4759853997054422,
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 |
-6326534241307650018 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4], [2, 4, 5], [2, 3], [0, 1, 3], [0, 1, 4, 5, 6], [0, 2, 5]]} | {"states": [116, 117], "expectation_value": -0.8857724126136193, "params": [[0.4652], [-0.40290000000000004]], "bitstrings": ["0001011", "0001010"], "total_optimization_steps": 50, "probabilities": [0.029785216993651546, 0.030291427294195934], "optimization_time": 1.7802321910858154} | 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.05 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.21666666666666667 * (Z(0) @ Z(5)) + 0.05 * (Z(1) @ Z(4)) + 0.1... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.2], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.1999999999999997, "smallest_bitstrings": ["0001010"], "largest_eigenvalue": 4.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.9494799491294008) q[3];
cx q[4], q[3];
cx q[4], q[2];
rz(-0.1599853203999577) q[2];
cx q[4], q[2];
cx q[3], q[2];
rz(0.9494799491294008) q[2];
cx q[3], q[2];
h q[5];
cx q[4], q[5];
rz(0.3839755934306766) q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[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[3];
rz(x0) q[... | null | {"circuits": [], "gradients": []} | [
"IIZZIII",
"IIZIZII",
"IIIZZII",
"IZZIIII",
"IZIIZII",
"IIZIIIZ",
"IIIZIIZ",
"IIIIZIZ",
"IZIIIIZ",
"IIZIIZI",
"IIIZIZI",
"IZIIIZI",
"IIIIIZZ",
"ZIZIIII",
"ZZIIIII",
"ZIIIIIZ",
"ZIIIIZI",
"IIZIIII",
"IIIZIII",
"IIIIZII",
"IZIIIII",
"IIIIIIZ",
"IIIIIZI",
"ZIIIIII"
] | [
0.5,
0.16666666666666666,
0.5,
0.21666666666666667,
0.3333333333333333,
0.05,
0.16666666666666666,
0.16666666666666666,
0.21666666666666667,
0.05,
0.16666666666666666,
0.05,
0.21666666666666667,
0.05,
0.05,
0.05,
0.05,
0.26666666666666683,
0.16666666666666674,
0.333333333333333... | 0.547539 | [
0.9494799491294008,
-0.1599853203999577,
0.3839755934306766,
0.37596278644112946,
0.022593811445809436,
0.44858552191866224,
0.8247308135363611,
1.517403798377841,
-0.8737344351866639
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -2.2,
"target_ratio": 0.97,
"target_value": -2.134
} | 237 |
c12dc8bfc0d8e8bc2e65cda825a741ab | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 2}]} | {"states": [4, 1], "expectation_value": -1.686402215115311, "params": null, "bitstrings": ["011", "110"], "total_optimization_steps": 8, "probabilities": [0.13254251138207834, 0.8435861677590577], "optimization_time": 2.3355462551116943} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + 0.75 * (Z(2) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) | 1 | 3 | 4 | {"smallest_eigenvalues": [-2.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0, "smallest_bitstrings": ["110"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.98693634562561) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.5702754027205156) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.5702754027205152) q[1];
rx(0.1809670407241956) q[1];
rz(-0.0605909341297176) q[2];
cx q[0], q[2];
rz(0.5702754... | null | {"source": 0, "sink": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\ncry(-1.4449) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\ncry(-1.4449) q[2], q[0]... | [
"IZZ",
"ZZI",
"ZIZ",
"IZI",
"IIZ",
"ZII"
] | [
-0.5,
-0.25,
0.75,
-0.25,
-0.25,
0.5
] | 0.970753 | [
0.98693634562561,
0.5702754027205156,
-0.0605909341297176,
0.01052034470793032,
0.1809670407241956,
-0.4210489548362983,
0.17941461010927579,
-0.5310091518833534,
-0.24571524346239182,
1.169259756964969,
0.8653272313101511,
0.8751350731179494,
-0.4970495411829845,
-1.6475907910109493,
1.... | {
"n_parameters": 15,
"n_qubits": 3,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 68 |
f736cdcdd3e9fab7057c0068d5117a32 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 6}, {"weight": 20, "source": 1, "tar... | {"states": [500, 244], "expectation_value": -31.2607689806422, "params": [[-0.037000000000000005, 0.0068000000000000005, 0.0058000000000000005], [0.07640000000000001, 0.0688, 0.06760000000000001]], "bitstrings": ["000001011", "100001011"], "total_optimization_steps": 10, "probabilities": [0.008523088980980021, 0.011069... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 16.0 * Z(1) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 161.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-2.3305793817029294) q[0];
rz(-pi) q[0];
ry(-1.2125699780875014) q[1];
rz(-pi) q[1];
ry(-1.5549335664366195) q[2];
rz(-pi) q[2];
ry(-2.53423986867924) q[3];
rz(-pi) q[3];
rz(-pi) q[4];
ry(-2.5661915813676774) q[4];
h q[5];
ry(0.6647761924313366) q[5];
cx q[5], q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIZIII",
"IIZZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
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,
13.5,
13,
19,
17,
11.5,
12,
-3,
-1
] | 0.977128 | [
0.7693130675599309,
21.024634404472,
-25.654894776789906,
6.366464348750739,
0.6647761924313366,
3.0606717175331437,
64.18486109846963,
3.6680103648570657,
63.22011402044469,
20.831575708628794,
6.52012879930155,
-19.17288881744406,
6.194552820481274,
-12.238516215630844,
-18.71943957014... | {
"n_parameters": 81,
"n_qubits": 9,
"optimal_eigenvalue": -83,
"target_ratio": 0.97,
"target_value": -80.50999999999999
} | 214 |
20a60ed013bc1976376f734be7d8d92c | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}]} | {"states": [122, 90], "expectation_value": -0.04139103842352751, "params": [0.6848000000000001, 0.6848000000000001, 0.8866, 0.8901, 0.7509, 0.7296, 0.8564, 0.8357, 0.8898, 0.8644000000000001, 0.6856, 0.6865, 0.8895000000000001, 0.8854000000000001, 0.6873, 0.6835, -0.3024, 0.009600000000000001, -0.2927, 0.0064, 0.2806, ... | 0.25 * (Z(0) @ Z(1)) + -0.0015625 * (Z(2) @ Z(0)) + -0.0015625 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0015625 * (Z(4) @ Z(0)) + -0.0015625 * (Z(4) @ Z(2)) + 0.0015625 * (Z(5) @ Z(1)) + -0.0015625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0015625 * (Z(6) @ Z(0)) + 0.0015625 * (Z(6) @ Z(2)) + -0.0015625 * (Z(6) @ Z... | 13 | 8 | 1 | {"smallest_eigenvalues": [-1.00625, -1.00625, -1.00625, -1.00625, -1.00625, -1.00625], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["10100101", "01011010", "10010110", "01101001", "10101010", "01010101"], "largest_eigenvalue": 1.01875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.354728125038139) q[0];
ry(-0.4482118389810244) q[1];
ry(1.1755110513092433) q[2];
ry(0.5002955961412344) q[3];
ry(0.16063370756801337) q[4];
ry(1.5622279807339) q[5];
ry(1.1768090945097947) q[6];
ry(1.5622279807339) q[7];
ry(1.5666955069360808) q[8];
ry(1.5127972... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIIIZ",
"IZIIIZII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
0.25,
-0.0015625,
-0.0015625,
0.25,
0.0015625,
-0.0015625,
0.0015625,
-0.0015625,
0.25,
-0.0015625,
0.0015625,
-0.0015625,
-0.0015625,
0.0015625,
-0.0015625,
0.25,
-0.0015624999999999944,
-0.0015624999999999944,
-0.0015624999999999944,
-0.0015624999999999944,
-0.0015624999999... | 0.972165 | [
-0.354728125038139,
-0.4482118389810244,
1.1755110513092433,
0.5002955961412344,
0.16063370756801337,
1.5622279807339,
1.1768090945097947,
1.5666955069360808,
1.5127972230668947,
-0.024986189269166677,
0.48443925419363265,
0.015176939504703403,
-0.07719483818697466,
0.3729730085267119,
0... | {
"n_parameters": 60,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999957,
"target_ratio": 0.97,
"target_value": -19.39999999999996
} | 52 |
-531425129479941775 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 6], [1, 2, 3, 4, 5], [1, 4, 7, 8, 10], [0, 1, 2, 3, 9], [2, 3, 6, 9, 10], [2, 4, 5, 6, 9, 10]]} | {"states": [1731, 1859], "expectation_value": -1.3505980205961305, "params": [1.0469, 1.4125, 1.4093, 1.588, 1.5837, 0.9708, 1.4042000000000001, 1.5767, 1.5787, 1.5706, 0.9127000000000001, 1.5932000000000002, 0.113, 0.0889, 0.2612, 0.3844, 0.6918000000000001, 0.7143, 1.5695000000000001, 1.5726, 1.3992, 1.53920000000000... | 0.5 * (Z(1) @ Z(6)) + 0.08333333333333334 * (Z(2) @ Z(6)) + 0.1 * (Z(2) @ Z(1)) + 0.05 * (Z(3) @ Z(6)) + 0.1 * (Z(3) @ Z(1)) + 0.15000000000000002 * (Z(3) @ Z(2)) + 0.03333333333333333 * (Z(4) @ Z(6)) + 0.1 * (Z(4) @ Z(1)) + 0.08333333333333334 * (Z(4) @ Z(2)) + 0.05 * (Z(4) @ Z(3)) + 0.03333333333333333 * (Z(5) @ Z(6)... | 14 | 11 | 1 | {"smallest_eigenvalues": [-1.5000000000000009], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5000000000000007, "smallest_bitstrings": ["00010111100"], "largest_eigenvalue": 5.499999999999997} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.9726967209995695) q[0];
rz(pi/2) q[0];
ry(1.2878388431472094) q[1];
ry(1.7474473269670867) q[2];
ry(1.3087686518523927) q[3];
ry(1.64570977978179) q[4];
ry(0.8526408277338324) q[5];
ry(-0.29338831653461483) q[6];
ry(-0.17392699633760245) q[7];
ry(0.523395766556133... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIZIIIIZI",
"IIIIZIIIZII",
"IIIIIIIIZZI",
"IIIIZIIZIII",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIZIZIIII",
"IIIIIIZIIZI",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIZZIIIII",
"IIIIIZIIIZI",
"IIIIIZIIZII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIZIIIIIZI",
"IIIZIIZIIII",
"IIZIIIIIIZI",
"IIZIIIZII... | [
0.5,
0.08333333333333334,
0.1,
0.05,
0.1,
0.15000000000000002,
0.03333333333333333,
0.1,
0.08333333333333334,
0.05,
0.03333333333333333,
0.05,
0.08333333333333334,
0.05,
0.08333333333333334,
0.05,
0.05,
0.05,
0.05,
0.05,
0.08333333333333334,
0.05,
0.08333333333333334,
0... | 0.972519 | [
0.9726967209995695,
1.2878388431472094,
1.7474473269670867,
1.3087686518523927,
1.64570977978179,
0.8526408277338324,
-0.29338831653461483,
-0.17392699633760245,
0.5233957665561332,
1.84094002537805,
1.6448338733913155,
0.8939054754100348,
0.754453639089135,
0.07613038055516225,
0.190412... | {
"n_parameters": 44,
"n_qubits": 11,
"optimal_eigenvalue": -1.5000000000000009,
"target_ratio": 0.97,
"target_value": -1.4550000000000007
} | 29 |
148c98be54f48380a1d59caea5fb9c95 | 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": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 0, ... | {"states": [0, 1], "expectation_value": -18.223083215678134, "params": [[[-0.0033, 0.0048000000000000004], [0.0023, 0.0061], [0.0024000000000000002, 0.0047], [0.0026000000000000003, 0.0091], [0.0023, 0.0023], [0.0024000000000000002, 0.009000000000000001], [0.0023, 0.0032], [1.608, 0.0]]], "bitstrings": ["11111111", "11... | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(0)) + -2.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.03939289528804486) q[0];
rz(0.6104138206589251) q[0];
rx(-0.00681563279887627) q[1];
rz(-0.9006858468689849) q[1];
rx(-0.021959365881757037) q[2];
rz(0.3356439632631911) q[2];
rx(0.03471226526304572) q[3];
rz(0.8790273908335049) q[3];
rx(-0.006815632798876268) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
rx(x0) q[0];
rz(x1... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIZIIII",
"IZZIIIII",
"IIIIIZZI",
"IIIZIZII",
"IIZIIZII",
"IIIIZIZI",
"IIIZZIII",
"IIZIZIII",
"IZIIZIII",
"IIIIZZII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIII... | [
-0.25,
-1.5,
-2.25,
-0.25,
-0.25,
-1,
-1.25,
-1.5,
-1.25,
-0.25,
-0.25,
-0.75,
-0.5,
-1.5,
-0.25,
-1,
-1,
3.5,
-0.5,
0.75,
-0.25,
0.5,
0,
-0.5,
0.25,
-3.75,
3
] | 0.976469 | [
-0.03939289528804486,
0.3056415618650099,
-0.006815632798876269,
-0.5864878321915629,
-0.021959365881757044,
0.5716771692755518,
0.03471226526304572,
0.731257367887284,
-0.33277460038548357,
-0.06527320802077959,
-0.4876274159857306,
-0.0662292616450873,
1.4837848577123118,
0.1080116767710... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -24,
"target_ratio": 0.97,
"target_value": -23.28
} | 8 |
ff12bd2c4927dd09879cd9143bdb8472 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 2}, {"weight": 17, "source": 1, "target": 5}, {"weight": 4... | {"states": [119, 118], "expectation_value": -19.07182670256603, "params": [[-0.017, 0.0358, 0.0189, -0.008], [0.027, -0.0468, -0.054200000000000005, -0.0393]], "bitstrings": ["10001000", "10001001"], "total_optimization_steps": 10, "probabilities": [0.0100442917369504, 0.012839266042887756], "optimization_time": 7.7108... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) @ Z(5)) + 3.5 * (Z(7) @ Z(6)) + 15.5 * Z(1) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-68.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 140.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.05402196679930514) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.05402196679930514) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.05402196679930514) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.05402196679930514) q[3];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZIZII",
"IIZIIIZI",
"IIZZIIII",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
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,
15.5,
5,
15.5,
8.5,
9,
16.5,
13.5,
8
] | 0.973272 | [
-0.05402196679930514,
1.9309508006179656,
-1.1087691465097824,
1.1365272156861124,
-0.9576550446646068,
1.3475536784622788,
1.6787387413020332,
-0.8076971171792336,
-1.040413476265019,
0.17535856771882383,
-0.3398795500131562,
-0.12376385071992982,
0.5838218808104491,
-0.18493009400659796,... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -68.5,
"target_ratio": 0.97,
"target_value": -66.445
} | 74 |
20b257e7ab3ea05503daa46ec3868b05 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [309, 359], "expectation_value": -0.3586465252392139, "params": [[-0.0784, -0.08080000000000001, -0.08020000000000001], [0.0757, 0.0765, 0.0753]], "bitstrings": ["011001010", "010011000"], "total_optimization_steps": 10, "probabilities": [0.003574831226175787, 0.004140237104473717], "optimization_time": 20.1... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(5) @ Z(0)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(6) @ Z(7)) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-3.6875], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.6875, "smallest_bitstrings": ["010011000"], "largest_eigenvalue": 5.3125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.5548614983032758) q[0];
h q[1];
ry(-0.4336582153180486) q[1];
h q[2];
ry(-1.5596846869202525) q[2];
h q[3];
ry(1.5548614983032758) q[3];
ry(-0.026435782347820826) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[1];
ry(0.4336582153180486) q[1];
cx q[5], q[1];
ry(-0.7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIIZZZII",
"IIIIIIZIZ",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IIIZIIIIZ",
"IIZIIIZII",
"IZIIIIZII",
"IIIZIIZII",
"IZZIIIIII",
"IIZZIIIII",
"IZIZIIIII",
"IIZIIIZIZ",
"IZIIIIZIZ",
"IIIZIIZIZ",
"IZZIIIIIZ",
"IIZZIIIIZ",
"IZIZIIIIZ",
"... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.125... | 0.998061 | [
-1.5596846869202525,
-1.4823995321635313,
1.5548614983032758,
-0.8673164306360972,
0.7054725837623831,
-0.4872816670639519,
0.6442048738368666,
-0.5016801554814053,
0.16957923580848894,
-0.12340870985442795,
0.17931583905653592,
-0.021905959185723592,
-0.12392202456708895,
0.03449940289991... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
3203e6b5b42395ee244d3c25a0a78bc8 | community_detection | 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": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [43349, 43605], "expectation_value": -1.6813398919562674, "params": [[1.4475, 0.19820000000000002, 1.5729, 0.17750000000000002, 1.5903, 0.2702, 1.6597000000000002, 1.5483, 0.2144, 1.5481, 0.2772, 1.6118000000000001, 0.2457, 1.594, 0.2544, 0.255], [1.6754, 0.24430000000000002, 1.5846, 0.17900000000000002, 1.5... | 0.25 * (Z(0) @ Z(1)) + -0.0005208333333333333 * (Z(2) @ Z(0)) + -0.0005208333333333333 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.00078125 * (Z(4) @ Z(0)) + -0.0006944444444444446 * (Z(4) @ Z(2)) + -0.00078125 * (Z(5) @ Z(1)) + -0.0006944444444444446 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00078125 * (Z(6) @ Z(0))... | 10 | 16 | 1 | {"smallest_eigenvalues": [-2.023958333333316], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0239583333332822, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.010243055555487} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
ry(-0.4389231779804787) q[1];
cx q[0], q[1];
ry(0.4389231779804787) q[1];
cx q[0], q[1];
ry(-0.33182563491258366) q[0];
cx q[1], q[0];
ry(0.33182563491258366) q[0];
cx q[1], q[0];
ry(0.7291120046559246) q[0];
ry(-0.366811191980229) q[1];
h q[2];
h q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0005208333333333333,
-0.0005208333333333333,
0.25,
-0.00078125,
-0.0006944444444444446,
-0.00078125,
-0.0006944444444444446,
0.25,
-0.00078125,
-0.0006944444444444446,
0.00017361111111111112,
-0.00078125,
-0.0006944444444444446,
0.00017361111111111112,
0.25,
0.00052083333333... | 0.971199 | [
-1.8461793631887822,
-0.5818991029321734,
-0.8778463559609574,
-0.8116048800450982,
-0.6948419681828587,
-0.4366579460210848,
-0.6299719822962283,
-0.5306962813176093,
1.0649874506037698,
-0.6636512698251673,
0.6709878259743934,
0.5264328913028224,
1.332671285732788,
0.43035499370500835,
... | {
"n_parameters": 95,
"n_qubits": 16,
"optimal_eigenvalue": -2.023958333333314,
"target_ratio": 0.97,
"target_value": -1.9632395833333147
} | 112 |
275bda64efc1528447a5b1b19a7bd734 | 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": [2582, 2581], "expectation_value": -94.8666460320828, "params": [[[0.5151, 0.027100000000000003], [0.13140000000000002, 0.0146], [0.8983000000000001, 0.1012], [0.0699, 0.10070000000000001], [0.0761, -0.010400000000000001], [0.0269, -0.0098], [0.059800000000000006, 0.02], [0.7397, 0.3841], [0.2649, 0.4842], [... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(5) @ Z(2)) + 7.5 * (Z(7) @ Z(3)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(4) @ Z(9)) + 7.5 * (Z(8) @ Z(0)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(11) @ Z(3)) + 7.5 * (Z(11) @ Z(7)) + 7.5 * (Z(10) @ Z(11)) + -3.0 * Z(1) + 5.5 * Z(0) + 9.0 * Z(2) + 12.0 * Z(3) + -3.0 * Z(5) + 16.0 *... | 15 | 12 | 3 | {"smallest_eigenvalues": [-122.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -102.0, "smallest_bitstrings": ["010111101010"], "largest_eigenvalue": 134.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.5667348425486186) q[0];
ry(0.09260049574522627) q[1];
ry(0.7837024665150915) q[2];
ry(-0.49890542853946157) q[3];
ry(0.14949672724958366) q[4];
ry(0.40237261953510395) q[5];
ry(0.040611280800281896) q[6];
ry(0.5646718850652849) q[7];
ry(0.2275468860549678) q[8];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZZII",
"IIIIIIZIIZII",
"IIIIZIIIZIII",
"IIIIZZIIIIII",
"IIZIIIIZIIII",
"IIIZIIIIIIIZ",
"IIZZIIIIIIII",
"ZIIIIIIIZIII",
"ZIIIZIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIIIZIII",
"IIIIIIZIIIII",
"IIIIZIIIIIII",
"IIIIIZIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
-3,
5.5,
9,
12,
-3,
16,
-3.5,
7,
-5,
5,
15.5,
-4
] | 0.972457 | [
0.5667348425486186,
0.09260049574522627,
0.7837024665150915,
-0.49890542853946157,
0.14949672724958366,
0.40237261953510395,
0.040611280800281896,
0.5646718850652849,
0.2275468860549678,
-0.09639308930700005,
1.4000003929429408,
0.13703975544559757,
0.06412294418830723,
-0.0059457535818466... | {
"n_parameters": 72,
"n_qubits": 12,
"optimal_eigenvalue": -122,
"target_ratio": 0.97,
"target_value": -118.34
} | 83 |
5144181ac27497fdfa9bdb5b8b799630 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [1, 6], "expectation_value": -0.01714563678675518, "params": [[0.0673], [-0.051500000000000004]], "bitstrings": ["110", "001"], "total_optimization_steps": 10, "probabilities": [0.12757748699382312, 0.12928851368981842], "optimization_time": 0.622105598449707} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 3 | 1 | {"smallest_eigenvalues": [-1.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.5, "smallest_bitstrings": ["001"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[2] q;
h q[0];
ry(-1.5486225528998339) q[0];
h q[1];
ry(-1.5451929801415893) q[1];
| OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
rz(x1) q[2];
rz(x2) q[0];
rz(x2) q[1];
h q[0];
rz(x3) q[0];
h q[0];
h ... | null | {"circuits": [], "gradients": []} | [
"ZIZ",
"ZZI",
"ZII",
"IIZ",
"IZI"
] | [
0.5,
0.5,
-0.5,
0,
0
] | 0.999809 | [
-1.5486225528998339,
-1.5451929801415893
] | {
"n_parameters": 2,
"n_qubits": 2,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 1 |
0a88b29c6d69b583bcda2e7f0e1608b8 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 3, "s... | {"states": [175, 1], "expectation_value": -1.1284157769460736, "params": [[-0.058100000000000006, 0.053700000000000005], [0.0745, -0.0078000000000000005]], "bitstrings": ["101010000", "111111110"], "total_optimization_steps": 10, "probabilities": [0.002903223914122189, 0.003092585810057285], "optimization_time": 3.8309... | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(0)) + -1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(4)) + -0.75 * (Z(7) @ Z(1)) + -1.5 * (Z(7) @ Z(3)) + -1.25 * (Z(8) @ Z(1)) + 3.0 * (Z(8) @ Z(0)) + -1.25 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(... | 1 | 9 | 2 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.03062873105647399) q[0];
rz(-0.21773373903454996) q[0];
rx(-0.00988025896180452) q[1];
rz(-0.03967639065443507) q[1];
rx(0.20785578655635797) q[2];
rz(-0.02080315560861834) q[2];
rx(0.20785578655635795) q[3];
rz(-0.12841037713873726) q[3];
rx(0.19020924560611377) ... | OPENQASM 3.0;
include "stdgates.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",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIIIZZI",
"IIIIZIZII",
"IZIIIIIZI",
"IZIIIZIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"IIZIIIIZI",
"IIZIIZIII",
"IIZIZIIII",
"IIZIIIZII",
"ZIZIIIIII",
"IIIZIIZII",
"IIZZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"IIIIIIZII",
"... | [
-0.25,
-1.25,
-1.25,
-0.75,
-1.25,
-0.75,
-1.5,
-1.25,
3,
-1.25,
-1.75,
-0.25,
-0.25,
-0.25,
-0.25,
-1.25,
1.25,
-0.25,
1,
-0.25,
-2,
-2.25,
1.5,
2,
-1
] | 0.982116 | [
-0.03062873105647399,
-0.12690437102245075,
-0.00988025896180452,
-0.03548707517917464,
0.20785578655635795,
-0.0384240620886955,
-0.12827002909885188,
0.19020924560611374,
-0.3758318210372185,
-0.22425702392421312,
-0.3043213260486306,
-0.07787069850147006,
-0.3181508068484042,
-0.2291533... | {
"n_parameters": 145,
"n_qubits": 9,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 14 |
6b7ed53a34b4dd2aa2503ba0aafc7221 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 4, "source": 3, "target": 4}, {"capaci... | {"states": [25, 1], "expectation_value": -1.3722304524434072, "params": [[0.0729, 0.0655, 0.0741], [-0.0806, -0.06420000000000001, -0.0723]], "bitstrings": ["100110", "111110"], "total_optimization_steps": 10, "probabilities": [0.03208619507562778, 0.03684790120383459], "optimization_time": 3.6109228134155273} | -0.75 * (Z(0) @ Z(3)) + -0.75 * (Z(1) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -1.75 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + -0.75 * Z(2) + 0.5 * Z(1) + 0.5 * Z(5) + 0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.00277685182702987) q[1];
cx q[2], q[1];
rz(0.0027768518270301357) q[2];
rx(1.5696210211582238) q[2];
h q[3];
cx q[3], q[0];
rz(0.00277685182702987) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.0019952943025770145) q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IIIZZI",
"ZIIIIZ",
"ZIIIZI",
"IZZIII",
"IZIIZI",
"IIZIII",
"IIIIIZ",
"IIIZII",
"IIIIZI",
"ZIIIII",
"IZIIII"
] | [
-0.75,
-0.75,
1,
-0.5,
-1.75,
-0.75,
-0.5,
-0.25,
-0.75,
0.5,
0.5,
0.5
] | 0.735473 | [
0.00277685182702987,
1.1759267912363337e-7,
-0.17998381122439663,
0.0019952943025770145,
1.5707941432274504,
-1.5708341891253215,
1.5696210211582238
] | {
"n_parameters": 7,
"n_qubits": 6,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 237 |
b4844a241e7c75ea7eb690acd3c4c004 | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [411, 413], "expectation_value": -5.710684425785294, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741882, 0.8578073217068282], "optimization_time": 118.27388644218445} | 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[1] q;
rz(2.6652466560128794) q[0];
ry(0.015534336535229091) q[0];
rz(-2.4994394359393826) q[0];
| null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 0}, {"id": 1}], "edges": [{"source": 2, "target": 0}, {"source": 2, "target": 1}, {"source": 0, "target": 1}]}} | {"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(1.5681) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIZIIZII",
"IIIIIZIIZ",
"IIIZIZIII",
"IIIIZIIZI",
"IIIZZIIII",
"IIIIZZIII",
"ZIIIIIZII",
"ZIIZIIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIZIIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"ZZIIIIIII",
"IZZIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.999879 | [
-0.13358933430461783,
0.05925579854844312,
0.1941292476304146,
-0.0004540644499549003,
-0.07413458086647713,
0.10747849798655963
] | {
"n_parameters": 6,
"n_qubits": 1,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 1 |
c58a74e7de5e9dac3fc1f9030d581bc0 | 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}, {"id": 14}, {"id": 15}, {"id": 16}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target":... | {"states": [57599, 65535], "expectation_value": -16.441513922571943, "params": [-0.0023, -0.559, 0.6344000000000001, -0.002, -2.8326000000000002, 0.0027, -1.0913000000000002, 0.0034000000000000002, 0.0021000000000000003, -0.34940000000000004, 1.1175000000000002, 0.0011, 0.0022, 0.3569, -0.8869, 0.0009000000000000001, -... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(5)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + 0.5 * (Z(10) @ Z(9)) + -1.5 * (Z(10) @ Z(8)) + -1.5 * (Z(11) @ Z(12)) + 0.5 * (Z(13) @ Z(12)) + -1.5 * (Z(13) @ Z(11)) + -1.0 * (Z(14) @ Z... | 4 | 16 | 1 | {"smallest_eigenvalues": [-19.499999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.499999999999954, "smallest_bitstrings": ["0000000000000000"], "largest_eigenvalue": 20.500000000000007} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(0.10279046485739732) q[0];
rz(0.8635386759184698) q[0];
rx(0.410797243642569) q[1];
rz(1.5312545408447367) q[1];
rx(-2.5900815767094008) q[2];
rz(1.9736030004618712) q[2];
rx(-1.63425259117466) q[3];
rz(1.5261718143685528) q[3];
rx(-0.03609824406079972) q[4];
rz(1.4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIIIZZIII",
"IIIIIIIIZZIIIIII",
"IIIIIIZZIIIIIIII",
"IIIIIZZIIIIIIIII",
"IIIIIZIZIIIIIIII",
"IIIZZIIIIIIIIIII",
"IIZZIIIIIIIIIIII",
"IIZIZIIIIIIIIIII",
"ZZIIIIIIIIIIIIII",
"IIIIIII... | [
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.973024 | [
0.10279046485739733,
-0.7072576508764267,
0.410797243642569,
-0.03954178595015933,
-2.5900815767094008,
0.4028066736669732,
-1.63425259117466,
-0.04462451242634423,
-0.03609824406079973,
-0.16332344987250821,
1.8185163465295509,
0.05982483187613671,
-0.18012914830256785,
0.6534439384168055... | {
"n_parameters": 45,
"n_qubits": 16,
"optimal_eigenvalue": -19.499999999999996,
"target_ratio": 0.97,
"target_value": -18.914999999999996
} | 15 |
c8cc4a98ae2322198d431f79e7c08f2a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [922, 925], "expectation_value": -2.2218494498584427, "params": [[[0.006900000000000001, -0.43270000000000003, 0.0041, 0.0045000000000000005], [-0.0015, 0.2952, 0.9421, -0.1004], [0.2832, -0.1173, -0.22290000000000001, 0.2721], [0.0664, 0.39840000000000003, 1.1029, 0.022000000000000002], [1.105, -0.031, 1.10... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(5) @ Z(6) @ Z(7)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(2) @ Z(8)) + 0.25 * (Z(5) @ Z(8)) + -0.25 * (Z(5) @ Z(2) @ Z(8)) ... | 11 | 11 | 2 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -2.25, "smallest_bitstrings": ["11100010000", "10110001000", "1... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(0.24612231245573826) q[0];
cx q[5], q[0];
h q[6];
cx q[5], q[6];
rz(0.24612231245573826) q[6];
cx q[5], q[6];
cx q[0], q[6];
cx q[5], q[4];
rz(0.24612231245573826) q[4];
cx q[5], q[4];
rz(-0.1913778146072... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIIZZZII",
"IIIIZZIIIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IIIZZZIIIII",
"IIIIIZIIZII",
"IIZIIIIIZII",
"IIZIIZIIIII",
"IIZIIZIIZII",
"IIIIZIIZIII",
"IIZIIIIZIII",
"IZIIIIIZIII",
"IIZIZIIIIII",
"IZIIZIIIIII",
"IZZIIIIII... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
... | 0.761448 | [
0.24612231245573826,
-0.19137781460726216,
-0.09094711496822111,
-1.8489186511947862,
-1.174023312528797,
2.5565392467270445,
-5.333069231018104,
-2.672371264963156,
-5.166443738452216,
-0.5496848238765973
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 425 |
e67f3c00e14c8f91eb0d08bc8d200da9 | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "ta... | {"states": [208, 209], "expectation_value": -3.174318573251595, "params": [1.6039, 0.0011, 1.6084, -0.0035, 1.6003, -0.0024000000000000002, 1.6072000000000002, 0.0002, -0.0048000000000000004, -0.6634, 0.1383, 0.48460000000000003, 0.6018, 0.7348, 1.6099, 0.004, 1.5784, 1.5693000000000001, -1.5896000000000001, -1.5261, -... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * Z(4) + -0.5 * Z(0) + 0.0 * Z(6) + 0.0 * Z(1) + -1.0 * Z(3) + -0.5 * Z(2) + -1.0 * Z(5) + -0.5 * Z(7) | 4 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["00101110", "00011110", "10101100", "10011100"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.909126703819719) q[0];
rz(1.5623480079533278) q[0];
rx(0.7046471514894905) q[1];
rz(1.8582608541635608) q[1];
rx(0.3584455397429955) q[2];
rz(1.7532039383088378) q[2];
rx(1.003226998178277) q[3];
rz(1.6220982408465296) q[3];
rx(-0.12220810756060674) q[4];
rz(1.4604... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIZIIIZ",
"IZIIIIIZ",
"IIIZIIZI",
"IIIZZIII",
"IIIIZZII",
"IIZIZIII",
"IIZIIZII",
"ZIIZIIII",
"ZIZIIIII",
"IIIZIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIZIII",
"IIIIIZII",
"IIZIIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
0,
0,
-1,
-0.5,
-1,
-0.5
] | 0.973787 | [
0.9091267038197189,
-0.00844831884156882,
0.7046471514894905,
0.2874645273686641,
0.35844553974299553,
0.18240761151394072,
1.003226998178277,
0.051301914051633396,
-0.12220810756060674,
-0.11033795571906216,
0.29245714883473223,
-0.015208233207080452,
-0.17322261944276882,
-0.397243532964... | {
"n_parameters": 68,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 15 |
-8529075278346333409 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 7], [0, 2, 3, 4, 5, 7], [5, 6, 7], [1, 2, 4, 5, 6], [1, 3, 4], [8, 5], [2, 3, 6], [1, 4, 7], [0, 2, 4, 7, 8], [0, 1, 5], [0, 4, 6], [3, 5, 6], [0, 5, 6]]} | {"states": [423, 378], "expectation_value": -1.1636090749255963, "params": [[-0.2152], [0.2214]], "bitstrings": ["001011000", "010000101"], "total_optimization_steps": 30, "probabilities": [0.004397787837094215, 0.004405663892043892], "optimization_time": 1.9750468730926514} | 0.16666666666666666 * (Z(8) @ Z(1)) + 0.3333333333333333 * (Z(7) @ Z(1)) + 0.21666666666666667 * (Z(7) @ Z(8)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.05 * (Z(0) @ Z(8)) + 0.08333333333333334 * (Z(0) @ Z(7)) + 0.05 * (Z(2) @ Z(1)) + 0.05 * (Z(2) @ Z(8)) + 0.08333333333333334 * (Z(2) @ Z(7)) + 0.08333333333333334 * (Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.5666666666666664], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.4666666666666677, "smallest_bitstrings": ["010000101"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[8];
rz(0.012819484596044066) q[8];
cx q[1], q[8];
cx q[1], q[7];
rz(-0.006905331185285316) q[7];
cx q[1], q[7];
cx q[1], q[0];
rz(0.012819484596044066) q[0];
cx q[1], q[0];
cx q[1], 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": []} | [
"ZIIIIIIZI",
"IZIIIIIZI",
"ZZIIIIIII",
"IIIIIIIZZ",
"ZIIIIIIIZ",
"IZIIIIIIZ",
"IIIIIIZZI",
"ZIIIIIZII",
"IZIIIIZII",
"IIIIIIZIZ",
"IIIIIZIZI",
"IZIIIZIII",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIZI",
"ZIIIZIIII",
"IZIIZIIII",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIIIZI",
"... | [
0.16666666666666666,
0.3333333333333333,
0.21666666666666667,
0.16666666666666666,
0.05,
0.08333333333333334,
0.05,
0.05,
0.08333333333333334,
0.08333333333333334,
0.16666666666666666,
0.03333333333333333,
0.03333333333333333,
0.19999999999999998,
0.3833333333333333,
0.05,
0.25,
0.... | 0.970437 | [
0.012819484596044066,
-0.006905331185285316,
0.010438403365012653,
0.010019712337316144,
-0.011572896077216954,
0.02122340173026535,
-0.0027555788611011017,
0.012198977089286148,
0.01178403782075933,
-0.0001358882227489519,
0.004420945451742131,
0.04664128987879444,
-0.0025362566319314106,
... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -3.5666666666666664,
"target_ratio": 0.97,
"target_value": -3.4596666666666662
} | 286 |
fb1a0ebec8d81f4892f1d514d6e9d7ae | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [189, 173], "expectation_value": -57.47865840433627, "params": [0.0023, 0.4535, 0.7017, 0.0882, 0.34840000000000004, 0.23190000000000002, 0.6976, 0.0767, 0.41140000000000004, 0.20850000000000002, 0.6961, 0.0106, 0.7028, 0.1331, 0.26980000000000004, 0.2843, 0.6993, -0.0092, 0.0029000000000000002, 0.4346000000... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(7) @ Z(8)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(6) @ Z(8)) + 5.5 * (Z(6) @ Z(7)) + 11.0 * Z(1) + -4.0 * Z(0) + 5.0 * Z(2) + 18.0 * Z(3) + 8.5 * Z(4) + 8.0 * Z(5)... | 18 | 9 | 4 | {"smallest_eigenvalues": [-75.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["101010010"], "largest_eigenvalue": 133.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.0996495202211399) q[0];
rz(0.5605310259620158) q[0];
rx(0.5259270323903242) q[1];
rz(-0.11914914129121416) q[1];
rx(-0.020862381890322898) q[2];
rz(0.1345405252715774) q[2];
rx(0.9308215811568592) q[3];
rz(-0.3810175926160987) q[3];
rx(0.1932798347807942) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input fl... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"ZZIIIIIII",
"IIZIZIIII",
"ZIZIIIIII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIZIIIIII"
] | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
11,
-4,
5,
18,
8.5,
8,
10,
3,
13
] | 0.980388 | [
-0.09964952022113988,
0.39991141286536647,
0.5259270323903242,
-0.11914914129121416,
-0.020862381890322898,
0.1345405252715774,
0.9308215811568592,
-0.3810175926160987,
0.1932798347807942,
0.25493473495848124,
0.66415495326875,
0.08971753628554949,
1.1382103529596883,
-0.08328015172012597,... | {
"n_parameters": 103,
"n_qubits": 9,
"optimal_eigenvalue": -75,
"target_ratio": 0.97,
"target_value": -72.75
} | 12 |
12ada348b9c11023d80d21b40d9fce6b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "so... | {"states": [13, 5], "expectation_value": -3.483201511982002, "params": null, "bitstrings": ["10010", "11010"], "total_optimization_steps": 26, "probabilities": [0.281083815520102, 0.42032312287331425], "optimization_time": 16.0715548992157} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.5 * Z(4) + 1.0 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["11110", "11010"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.421275234044104) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.08975213145237756) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.2466738875561171) q[3];
cx q[0], q[3];
rz(-0.7548770243522678) q[3];
rx(-1.1727560892462083) q[3]... | null | {"source": 0, "sink": 4} | {"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[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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... | [
"IIIZZ",
"IZIZI",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"IIZZI",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
-0.5,
-1,
-0.25,
-0.5,
1,
-1,
-0.5,
-0.25,
-0.75,
0.5,
1
] | 0.970009 | [
-0.421275234044104,
-0.08975213145237756,
-0.2466738875561171,
0.2764818189504322,
-0.754877024352268,
-0.039697426295050006,
-1.1727560892462083,
-0.6047490633200694,
-0.04582608500570343,
-0.35589128305044065,
0.4950866191469228,
-0.3850968734273578,
1.0521907678224391,
-1.08956021545216... | {
"n_parameters": 28,
"n_qubits": 5,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 132 |
a617cd4648156ddc77f993201a7a952c | 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": 0, "target": 7}, {"source": 1, "ta... | {"states": [21, 7], "expectation_value": -23.04861595515255, "params": null, "bitstrings": ["11101010", "11111000"], "total_optimization_steps": 84, "probabilities": [0.1117387711381538, 0.6314404591857681], "optimization_time": 174.7824249267578} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.... | 4 | 8 | 4 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.016051595018557085) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.016051595018557085) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.016051595018557085) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.016051595018557085) q[3];
cx q[1], ... | 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(-0.7752) 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",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
2.75,
2.75,
-7,
-7.25,
-7,
-7,
-7,
-6.25,
-6.25,
-6.75
] | 0.976479 | [
0.016051595018557085,
-0.044725556110224884,
-1.5942489739862034,
-1.511915062604028,
1.942486051428569,
1.7812596979441973,
-1.4758902744393279,
0.463896267873675,
0.4666780978923133,
-1.0713581426797705,
-2.0979600597052888,
1.374106261390757,
-0.36896266833425195,
0.11673470776900458,
... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 78 |
861da3d4aba3be7dfc9c975e27f8a25d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [500, 436], "expectation_value": -82.45681657169234, "params": [0.0019, 0.007, 2.8000000000000003, 0.001, 2.8036000000000003, 0.0007, 1.4884000000000002, 0.0098, 2.7954000000000003, 0.0026000000000000003, 2.7967, 0.0058000000000000005, 0.44260000000000005, 0.0027, 2.807, 0.00030000000000000003, 0.00290000000... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(2) @ Z(4)) + 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(7) @ Z(1)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(5) @ Z(7)) + 6.0 * (Z(6) @ Z(7)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(8) @ Z(4)) + 6.0 * (Z(9) @ Z(1)) + 6.0 * (Z(9) @ Z(7)) + -3.0 * Z(0) + 14.5 * Z(1) + 14.0 * Z(4) + 9.5 * Z(3) + 8... | 18 | 10 | 1 | {"smallest_eigenvalues": [-99.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -89.5, "smallest_bitstrings": ["1001001011"], "largest_eigenvalue": 148.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.024052391965868336) q[0];
rz(0.9331479998772139) q[0];
rx(1.0535328112200637) q[1];
rz(-0.11952991697258909) q[1];
rx(0.9087569177307997) q[2];
rz(0.2889043698434536) q[2];
rx(0.2860819814092741) q[3];
rz(0.3448604048931321) q[3];
rx(1.1649501432031313) q[4];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIIIIZZII",
"IIZIIIIIZI",
"IIIIZIZIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IIIZZIIIII",
"IZIIIZIIII",
"ZIIIIIIIZI",
"ZIZIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIIIIZII",
"IIZIIIIIII",
"IIIIZIIIII",
"IIIZIIIIII"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
-3,
14.5,
14,
9.5,
8.5,
18.5,
14.5,
0.5,
-5,
4.5
] | 0.970261 | [
0.024052391965868336,
0.6975915157253987,
1.0535328112200637,
-0.11952991697258909,
0.9087569177307997,
0.2889043698434536,
0.2860819814092741,
0.3448604048931321,
1.1649501432031313,
-0.032443256765909596,
1.1367033870815713,
0.21948256258270063,
0.2394684088684529,
0.7212435751980091,
... | {
"n_parameters": 86,
"n_qubits": 10,
"optimal_eigenvalue": -99.5,
"target_ratio": 0.97,
"target_value": -96.515
} | 10 |
7bc4dde9a09d0b94c5097b219891d81a | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 2}, {"id": 0}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 0, "target": 3}]} | {"states": [2910, 2987], "expectation_value": -1.842217195992543, "params": [[0.0734, 0.0755, 0.062200000000000005], [-0.0679, -0.0741, -0.056]], "bitstrings": ["010010100001", "010001010100"], "total_optimization_steps": 10, "probabilities": [0.0006522091249470852, 0.0006522091249470853], "optimization_time": 11.31542... | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(3)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * ... | 1 | 12 | 3 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -6.0, "smallest_bitstrings": ["010010100001", "010001010100", "010010001100", "001100001010", "010100010001", "001001100010", "001010001100", "100001100010", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rz(-0.8856201491506983) q[0];
ry(0.20607187143120437) q[0];
rz(1.691443220073766) q[0];
rz(1.9404906187072166) q[1];
ry(0.12101153113441158) q[1];
rz(-1.8772538795087437) q[1];
rz(-2.137783534785648) q[2];
ry(0.08595900488246716) q[2];
rz(1.6840356586029337) q[2];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIZZIIIIII",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIZIIIIIZIII",
"IIZIIZIIIIII",
"IIZIIIIIIIIZ",
"IZIIIIIZIIII",
"IZIIZIIIIIII",
"IZIIIIIII... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
0.75,
0.75,
0.75,
1.25,
1.25,
1.25
] | 0.987235 | [
0.11953274834359354,
0.2854334628168601,
-0.11213716823678,
0.2175735915324961,
0.058537607426864216,
-0.2041489905535785,
1.195421164250731,
-0.0853700569336958,
0.21361350790414543,
0.08320735516977537,
-0.038044942888873196,
-0.02371278444846299,
-0.1628380576660834,
0.9476996835334291,... | {
"n_parameters": 22,
"n_qubits": 4,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 5 |
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": [19, 44], "expectation_value": -0.2908743929993832, "params": [[-0.0671, -0.0765], [0.058600000000000006, 0.0711]], "bitstrings": ["101100", "010011"], "total_optimization_steps": 10, "probabilities": [0.0209474722859442, 0.020947472285944204], "optimization_time": 2.248378038406372} | 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 | 2 | {"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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(x0) q[0];
cx q... | 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 |
-9113301954828505956 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 4], [0, 6], [8, 5], [0, 3], [1, 5, 6], [0, 2, 7], [8, 1, 7], [2, 3, 5], [0, 5], [1, 2], [8, 6], [4, 6, 7], [2, 5, 7], [0, 1], [1, 3, 7], [8, 3], [1, 4, 6]]} | {"states": [426, 174], "expectation_value": -6.114226891227339, "params": null, "bitstrings": ["001010101", "101010001"], "total_optimization_steps": 56, "probabilities": [0.01222100670441166, 0.9856256829982676], "optimization_time": 94.19456315040588} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.1666666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-6.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.833333333333333, "smallest_bitstrings": ["101010001"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.6063269705677568) q[3];
cx q[4], q[3];
cx q[3], q[0];
rz(0.6063269705677568) q[0];
cx q[3], q[0];
h q[5];
h q[6];
cx q[4], q[6];
rz(0.21232681634460354) q[6];
cx q[4], q[6];
cx q[0], q[6];
cx q[4], q[1];
rz(-0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5592) 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] = m... | [
"IIIIZZIII",
"IIIIIZIIZ",
"IIZIZIIII",
"IIZIIIIIZ",
"ZIIIIZIII",
"ZIZIIIIII",
"IIIZIZIII",
"IIIZIIIIZ",
"IIZZIIIII",
"ZIIZIIIII",
"IIIIZIIZI",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIZIIIIZI",
"ZIIIIIIZI",
"IIIZIIIZI",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIZIIZII",
"IIIIIIZZI",
"IZIIZIIII",
"... | [
0.5,
0.5,
0.3333333333333333,
0.5,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.1... | 0.423647 | [
0.6063269705677568,
0.21232681634460354,
-0.08303660214714992,
0.06861229491151412,
1.490591349272314,
-0.8512862194047678
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -6.166666666666667,
"target_ratio": 0.97,
"target_value": -5.9816666666666665
} | 168 |
c4a271fff109309e7f31bc6df27c4553 | 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}], "edges": [{"... | {"states": [109, 107], "expectation_value": -46.06908559271182, "params": [0.0671, 0.07980000000000001, 1.0013, 0.6682, 0.7463000000000001, 0.7485, -0.24230000000000002, 0.3483, 0.8001, 0.7931, 0.7858, 0.5504, 0.0233, 0.45080000000000003, 0.8756, 0.9821000000000001, 0.0635, -0.0745, 0.7366, 0.7418, 0.5867, 1.0843, 0.19... | 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 4.5 * Z(0) + 6.5 * Z(2) + 11.0 * Z(1) + 0.5 * Z(3) + 7.0 * Z(4) + 10.0 * Z(5) + 5.5 * Z(6) + 6.5 * Z(7) | 14 | 8 | 2 | {"smallest_eigenvalues": [-46.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -45.5, "smallest_bitstrings": ["10010100"], "largest_eigenvalue": 96.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.05334877656996067) q[0];
rz(pi/2) q[0];
ry(0.939970959375473) q[1];
ry(0.5967481576392757) q[2];
ry(-0.20388989400392127) q[3];
ry(0.8591898554925523) q[4];
ry(0.8838906206237511) q[5];
ry(0.15165965802405224) q[6];
ry(0.9713427685419396) q[7];
cx q[7], q[0];
ry(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIZZIII",
"IIZZIIII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
4.5,
6.5,
11,
0.5,
7,
10,
5.5,
6.5
] | 0.976591 | [
0.05334877656996067,
0.939970959375473,
0.5967481576392757,
-0.20388989400392127,
0.8591898554925523,
0.8838906206237511,
0.15165965802405224,
0.9713427685419396,
0.2593808735102022,
-0.6785574504259203,
-1.0568248276849734,
0.01897101867440515,
0.21643898242542475,
-0.5598160888770936,
... | {
"n_parameters": 64,
"n_qubits": 8,
"optimal_eigenvalue": -46.5,
"target_ratio": 0.97,
"target_value": -45.105
} | 1 |
1e277e87feb79246d4c3112af02a6a4a | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 20, "source": 1, "target": 6}, {"weight": 1, "source": 2, "target": 3}, {"weight": 19, "source": 2, "targ... | {"states": [189, 188], "expectation_value": -76.29404835101846, "params": [-0.0027, 0.8013, 1.405, -0.0781, 0.769, -0.2902, 1.3983, 0.0037, 1.4018000000000002, -0.0023, 1.3980000000000001, -0.0027, 1.3926, 0.10260000000000001, 0.6736000000000001, 0.3723, 0.8002, 0.2964, -0.0027, 0.0008, 1.3992, 0.0023, 0.76540000000000... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 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(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-96.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "smallest_bitstrings": ["101000011"], "largest_eigenvalue": 177.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.020978761801343192) q[0];
rz(0.5163182314904255) q[0];
rx(0.9268064577402324) q[1];
rz(-0.13640818594787107) q[1];
rx(0.1035785367262719) q[2];
rz(0.21719800416602195) q[2];
rx(0.5910051363443589) q[3];
rz(0.09342813476678803) q[3];
rx(0.82194410053844) q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIIZIZII",
"IIIZIIZII",
"IIZIIIIZI",
"IIZIIIZII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIZIII",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZIZIIIIII",
"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,
19,
-3.5,
14,
9.5,
23.5,
13,
22.5,
4,
8
] | 0.975339 | [
0.020978761801343192,
0.5832549339802381,
0.9268064577402324,
-0.13640818594787107,
0.1035785367262719,
0.21719800416602195,
0.5910051363443589,
0.09342813476678803,
0.82194410053844,
-0.10274540364092795,
0.7763548072277281,
-0.14313663960275602,
0.8085523565040738,
0.12923759132137974,
... | {
"n_parameters": 101,
"n_qubits": 9,
"optimal_eigenvalue": -96.5,
"target_ratio": 0.97,
"target_value": -93.605
} | 10 |
cb943fcd43d9f749780630b91be79506 | 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": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "s... | {"states": [478, 223], "expectation_value": -7.580617870830445, "params": [[[-0.0049, 0.0034000000000000002], [0.002, 0.0038], [0.0035, -0.0018000000000000002], [0.6103000000000001, -0.003], [0.0027, -0.003], [0.002, -0.0023], [-0.0025, 0.0021000000000000003], [-1.5591000000000002, 0.009600000000000001], [0.81270000000... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(8)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(7) @ Z... | 15 | 9 | 3 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["100100000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.0023431358542768677) q[0];
h q[1];
ry(1.0573482311132871) q[1];
h q[2];
ry(0.7381916387806311) q[2];
h q[3];
ry(-1.530172209429997) q[3];
h q[4];
ry(-0.12458245307790583) q[4];
h q[5];
cx q[5], q[4];
ry(0.12458245307790583) q[4];
cx q[5], q[4];
h q[6];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZZII",
"IIZIIIIZI",
"ZIIIIIIIZ",
"ZIIIIIZII",
"IIIIZIIZI",
"IIIIZZIII",
"ZIIIZIIII",
"IIZZIIIII",
"IIIZZIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZZIIIIIII",
"IZIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"... | [
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.75,
1,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-1,
-0.25,
-0.5,
-0.25,
-0.75,
0.25,
-0.25,
-1.75,
0.75,
0.25,
-0.25,
1,
-0.25,
0.25
] | 0.971464 | [
-1.530172209429997,
-0.24916490615581166,
-0.004686271708553735,
1.5008255461260471,
-0.9720458421928581,
1.4763832775612622,
1.178692764422778,
0.13200497549453394,
0.8917603156219556,
2.1146964622265743,
-0.0033878110834060365,
0.17746269747617008,
-0.3576571302642504,
0.0906979216744569... | {
"n_parameters": 50,
"n_qubits": 9,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 170 |
fc7b19754949f0e05a27875fb69f344a | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}]} | {"states": [24, 31], "expectation_value": -15.125493274049944, "params": null, "bitstrings": ["11100111", "11100000"], "total_optimization_steps": 54, "probabilities": [0.16125197062073443, 0.2518508410661102], "optimization_time": 66.13322567939758} | 2.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(4)) + 3.0 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -3.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.125 * (Z(2) @ Z(0)) + 9.0 * Z(4) + 4.5 * Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-22.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.125, "smallest_bitstrings": ["11100000"], "largest_eigenvalue": 53.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.039738840687134236) q[0];
rz(-0.2353337499900654) q[0];
rx(-0.039738840687134236) q[1];
rz(-0.021455568999004995) q[1];
rx(0.00241554966618817) q[2];
rz(0.13687828871885735) q[2];
rx(2.1135641398643044) q[3];
rz(0.09140913237800194) q[3];
rx(3.251386907726556) q[4... | null | {"source": 0, "sink": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(62.9199) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIZIIII",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII"
] | [
2,
6,
3,
-1,
-0.5,
-1.5,
-2,
-1,
-3,
1,
-0.25,
-0.25,
-0.125,
9,
4.5,
13.5,
-1.5,
-3,
-1,
-0.5,
-0.5
] | 0.972155 | [
-0.039738840687134236,
-0.2358725824553829,
-0.021455568999004995,
0.00241554966618817,
0.13687828871885735,
2.1135641398643044,
0.09140913237800194,
3.251386907726556,
0.10228857007698645,
3.096010759129636,
-0.05175610628712672,
-2.9402631276470084,
0.16839375237658555,
-2.80609486114488... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -22.125,
"target_ratio": 0.97,
"target_value": -21.46125
} | 4 |
0a88b29c6d69b583bcda2e7f0e1608b8 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 3, "s... | {"states": [175, 1], "expectation_value": -1.6581844925849487, "params": [[-0.08370000000000001], [0.0794]], "bitstrings": ["101010000", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0034335644868532167, 0.003772066232936125], "optimization_time": 2.8856959342956543} | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(0)) + -1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(4)) + -0.75 * (Z(7) @ Z(1)) + -1.5 * (Z(7) @ Z(3)) + -1.25 * (Z(8) @ Z(1)) + 3.0 * (Z(8) @ Z(0)) + -1.25 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.03062873105647399) q[0];
rz(-0.21773373903454996) q[0];
rx(-0.00988025896180452) q[1];
rz(-0.03967639065443507) q[1];
rx(0.20785578655635797) q[2];
rz(-0.02080315560861834) q[2];
rx(0.20785578655635795) q[3];
rz(-0.12841037713873726) q[3];
rx(0.19020924560611377) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIIIZZI",
"IIIIZIZII",
"IZIIIIIZI",
"IZIIIZIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"IIZIIIIZI",
"IIZIIZIII",
"IIZIZIIII",
"IIZIIIZII",
"ZIZIIIIII",
"IIIZIIZII",
"IIZZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"IIIIIIZII",
"... | [
-0.25,
-1.25,
-1.25,
-0.75,
-1.25,
-0.75,
-1.5,
-1.25,
3,
-1.25,
-1.75,
-0.25,
-0.25,
-0.25,
-0.25,
-1.25,
1.25,
-0.25,
1,
-0.25,
-2,
-2.25,
1.5,
2,
-1
] | 0.982116 | [
-0.03062873105647399,
-0.12690437102245075,
-0.00988025896180452,
-0.03548707517917464,
0.20785578655635795,
-0.0384240620886955,
-0.12827002909885188,
0.19020924560611374,
-0.3758318210372185,
-0.22425702392421312,
-0.3043213260486306,
-0.07787069850147006,
-0.3181508068484042,
-0.2291533... | {
"n_parameters": 145,
"n_qubits": 9,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 14 |
2709643479563405023 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 3, 4, 5, 6], [0, 1, 2, 3, 4, 5], [0, 1, 2, 3, 4, 6]]} | {"states": [62, 47], "expectation_value": -0.39868971039048373, "params": [0.9974000000000001, 0.0002, 0.9938, 0.008, 0.9956, 0.0023, 1.0039, 0.0005, 0.9927, 0.0002, 0.9949, 0.0024000000000000002, 1.0016, 0.0035, 1.0051, 0.0088, 1.0034, -0.0036000000000000003, 0.9946, 0.0033, 0.9958, 0.0001, 0.9926, 0.00450000000000000... | 0.1 * (Z(0) @ Z(2)) + 0.1 * (Z(3) @ Z(2)) + 0.1 * (Z(3) @ Z(0)) + 0.1 * (Z(4) @ Z(2)) + 0.1 * (Z(4) @ Z(0)) + 0.1 * (Z(4) @ Z(3)) + 0.06666666666666667 * (Z(5) @ Z(2)) + 0.06666666666666667 * (Z(5) @ Z(0)) + 0.06666666666666667 * (Z(5) @ Z(3)) + 0.06666666666666667 * (Z(5) @ Z(4)) + 0.06666666666666667 * (Z(6) @ Z(2)) ... | 6 | 7 | 1 | {"smallest_eigenvalues": [-0.6, -0.6, -0.6, -0.6, -0.6, -0.6, -0.6], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -0.5666666666666667, "smallest_bitstrings": ["0001100", "0010100", "0100011", "0011000", "1000100", "1001000", "1010000"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.019622906166779194) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.019622906166779194) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.019622906166779194) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(0.019622906166779194) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZIIIIZ",
"IZIZIII",
"IZZIIII",
"ZIIIZII",
"ZIIIIIZ",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIZZI",
"IIIIIZZ",
"IIIZIZI",
"IIZIIZI",
"IZIIIZI",
"ZIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZ... | [
0.1,
0.1,
0.1,
0.1,
0.1,
0.1,
0.06666666666666667,
0.06666666666666667,
0.06666666666666667,
0.06666666666666667,
0.06666666666666667,
0.06666666666666667,
0.06666666666666667,
0.06666666666666667,
0.03333333333333333,
0.06666666666666667,
0.06666666666666667,
0.06666666666666667,
... | 0.990375 | [
0.019622906166779194,
-0.06095778491995571,
0.044404824628420415,
1.5104999244975914,
-1.3827763762491208,
-1.5328414785372046
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -0.6,
"target_ratio": 0.97,
"target_value": -0.582
} | 55 |
383e9bbba4c1f2fb35a314751837dc18 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [36, 100], "expectation_value": -2.922619135252256, "params": [[[0.8320000000000001, -0.0022], [0.9073, 0.0036000000000000003], [0.0494, -0.0011], [-0.0035, -0.0176], [0.9065000000000001, 0.9075000000000001], [0.8165, 0.891], [0.9054000000000001, -0.25670000000000004]], [[0.9033, 0.0047], [0.903, 0.002400000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(3) + -0.5 * Z(1) + -1.0 * Z(6) + -0.5 * Z(4) | 15 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1001101", "0110011", "0111010", "0011011"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.1416640166708738) q[0];
rz(pi/2) q[0];
ry(-0.793131122259061) q[1];
ry(0.9874203751404078) q[2];
ry(0.3526357806200685) q[3];
ry(0.9450157166198869) q[4];
ry(0.4479145245470849) q[5];
ry(0.15335503940443432) q[6];
ry(0.033864882667896196) q[7];
ry(0.358051147430653... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIZIZ",
"IZIIIIZ",
"IIIZZII",
"IIIZIZI",
"ZZIIIII",
"ZIIZIII",
"ZIIIIZI",
"IIZIZII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIIIIZI",
"ZIIIIII",
"IIZIIII"
] | [
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,
-1,
-0.5
] | 0.974696 | [
1.1416640166708738,
-0.793131122259061,
0.9874203751404078,
0.3526357806200685,
0.9450157166198869,
0.4479145245470849,
0.15335503940443432,
0.033864882667896196,
0.35805114743065397,
0.48997852704646144,
0.02854646469859531,
-0.02131075108760231,
0.11179269493306157,
-0.5032424079837996,
... | {
"n_parameters": 108,
"n_qubits": 9,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 109 |
3012e1b6018e3f767ff12c1a3a3c35a1 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [173, 685], "expectation_value": -1.5681828833774671, "params": [0.3294, 0.0376, 0.3317, 0.049100000000000005, 0.09910000000000001, 0.16590000000000002, 0.1012, 0.1653, 0.4001, 0.0179, 0.40240000000000004, 0.0741, 0.19260000000000002, -0.0876, 0.19740000000000002, -0.09190000000000001, 0.3899, -0.0233, 0.388... | 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(5)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(2) @ Z(7)) + 0.125 * (Z(3) @ Z(6)) + 0.... | 7 | 10 | 3 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 19, "first_excited_energy": -2.125, "smallest_bitstrings": ["1010010010", "0011010010", "1000011010", "0010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.017048650774160467) q[0];
rz(-pi) q[0];
h q[1];
ry(1.428101949963524) q[1];
h q[2];
ry(-0.5585956640176606) q[2];
h q[3];
ry(-1.513638845189437) q[3];
rz(-pi) q[4];
ry(-0.03029958733089709) q[4];
h q[5];
ry(1.5357352680083305) q[5];
h q[6];
cx q[6], q[2];
ry(0.558... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIIIZZIIZ",
"IIIIZIIIZI",
"IIIIIIZZII",
"IIIZIIIZII",
"IIZIIIIZII",
"IIIZIIZIII",
"IIZIIIZIII",
"IIZZIIIIII",
"IIIZIIZZII",
"IIZIIIZZII",
"IIZZIIIZII",
"IIZZIIZIII",
"IIZZIIZZII"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0,
-0.25,
0.125,
0.125,
0,
-0.25,
-0.125,
0.125,
-0... | 0.996101 | [
-1.513638845189437,
-1.5712238897082784,
-1.4295544274646308,
1.5357352680083305,
1.428101949963524,
-1.1171913280353212,
0.7490514998734579,
-0.29846349854310816,
0.45238629368725597,
-0.44128023792692567,
0.31667933370845947,
-0.25392485755588445,
-0.24838649711221067,
0.1534772811997058... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
6cfd499277502d6e85a2cad6ec018ed8 | 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": [245, 213], "expectation_value": -73.98235665670862, "params": [0.0858, 0.2059, 0.08710000000000001, 0.19790000000000002, 0.4927, -0.055600000000000004, 0.4937, -0.0388, 0.4933, -0.045000000000000005, 0.49960000000000004, -0.0238, 0.2604, 0.1179, 0.2635, 0.113, 0.4929, -0.0979, 0.4879, -0.061200000000000004,... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(7) @ Z(8)) + 14.5 * Z(1) + 0.5 * Z(0) + 11.0 * Z(2) + 5.0 * Z(3) + 14.0 * Z(4) + 2.0 * Z(5)... | 5 | 9 | 3 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["100101010"], "largest_eigenvalue": 127.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.1749996822747575) q[0];
rz(-0.3161486606440289) q[0];
rx(0.6762166850990429) q[1];
rz(-0.0180481611487342) q[1];
rx(0.11994579669813699) q[2];
rz(-0.015332612482553465) q[2];
rx(0.18658720176667437) q[3];
rz(0.29765430591966524) q[3];
rx(0.5503661135065657) 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], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIZIZIIII",
"IIZZIIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
14.5,
0.5,
11,
5,
14,
2,
14,
15,
-4
] | 0.970953 | [
0.17499968227475754,
-0.42860664269484877,
0.6762166850990429,
0.01636420344807811,
0.11994579669813699,
-0.02137576424289863,
0.18658720176667434,
0.11361130312767424,
0.5503661135065657,
0.25801200622049314,
-0.09758576402208127,
-0.010418889033077708,
0.011314197825767064,
-0.1580952646... | {
"n_parameters": 170,
"n_qubits": 9,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 66 |
41e371d8cc4122e6ac05fda4a9a733df | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 4, "source": 2, "target": 3}, {"capacity": 1, "so... | {"states": [0, 1], "expectation_value": -4.74483181608554, "params": [[[0.0025, 0.3699], [0.0033, 0.44370000000000004], [0.0038, 0.43510000000000004], [-0.0002, 0.3376], [0.6077, -0.0035]], [[0.0005, 0.33640000000000003], [0.0017000000000000001, 0.46], [0.0015, 0.461], [0.0064, 0.463], [0.6043000000000001, -0.0035]], [... | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(1) @ Z(3)) + -1.0 * (Z(2) @ Z(3)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -1.0 * Z(3) + -0.25 * Z(0) + 0.75 * Z(1) + 0.0 * Z(2) + 0.5 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(-0.21164019377002524) q[0];
rz(0.29993552628560155) q[0];
rx(0.022404456669019523) q[1];
rz(0.24112094905567866) q[1];
rx(-0.12021742964398797) q[2];
rz(0.022404456669019523) q[2];
rx(0.020942544473592298) q[3];
rz(0.08815478690614406) q[3];
rx(2.9671795821067803) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IZIIZ",
"IZIZI",
"IZZII",
"IIZZI",
"ZZIII",
"ZIIIZ",
"ZIIZI",
"ZIZII",
"IZIII",
"IIIIZ",
"IIIZI",
"IIZII",
"ZIIII"
] | [
-1,
-0.75,
-1,
-1.25,
-0.25,
1.25,
-0.25,
-0.25,
-1,
-0.25,
0.75,
0,
0.5
] | 0.984363 | [
-0.21164019377002524,
0.29993552628560155,
0.022404456669019523,
0.24112094905567866,
-0.12021742964398797,
0.020942544473592298,
0.08815478690614406,
2.9671795821067803,
-0.6183644341907681
] | {
"n_parameters": 9,
"n_qubits": 5,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 9 |
8521544053316815945 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 3, 4, 6, 7], [0, 5]]} | {"states": [124, 248], "expectation_value": -0.011948058842489975, "params": [[0.0724], [-0.0728]], "bitstrings": ["10000011", "00000111"], "total_optimization_steps": 10, "probabilities": [0.004006922241055976, 0.004006922241055976], "optimization_time": 2.1450252532958984} | 0.03333333333333333 * (Z(1) @ Z(2)) + 0.03333333333333333 * (Z(3) @ Z(2)) + 0.03333333333333333 * (Z(3) @ Z(1)) + 0.03333333333333333 * (Z(4) @ Z(2)) + 0.03333333333333333 * (Z(4) @ Z(1)) + 0.03333333333333333 * (Z(4) @ Z(3)) + 0.03333333333333333 * (Z(6) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(1)) + 0.03333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.7000000000000001, -0.7000000000000001, -0.7000000000000001, -0.7000000000000001, -0.7000000000000001, -0.7000000000000001, -0.7000000000000001, -0.7000000000000001, -0.7000000000000001, -0.7000000000000001, -0.7000000000000001, -0.7000000000000001, -0.7000000000000001, -0.7000000000000001, ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.21942287765533497) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(0.21942287765533497) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.21942287765533497) q[3];
cx q[1], q[3];
h q[4];
cx q[2], q[4];
rz(0.21942287765533497) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[1], q... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"IIIZIZII",
"IIIZIIZI",
"IIIZZIII",
"IZIIIZII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"ZIIIIZII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIZIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII",
"IIZIIII... | [
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.033333333333333... | 0.952594 | [
0.21942287765533497,
1.570796431675317,
0.7349577165028002,
-3.0315710041723955e-8,
-0.7761785826724739
] | {
"n_parameters": 5,
"n_qubits": 8,
"optimal_eigenvalue": -0.7000000000000001,
"target_ratio": 0.97,
"target_value": -0.679
} | 142 |
5bb3f230f56ac9bab802a8146772ac94 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [1, 3], "expectation_value": -23.327404449827686, "params": [[[1.381, 0.0064], [0.37220000000000003, 0.0061], [0.3589, 0.003], [0.3799, 0.0029000000000000002], [0.2697, 0.0043], [1.5961, 0.003], [1.6015000000000001, 0.0059]]], "bitstrings": ["1111110", "1111100"], "total_optimization_steps": 160, "probabilit... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(1.3575967410398402) q[0];
ry(0.23056017395815415) q[0];
rz(-2.1527971274231117) q[0];
rz(2.1944677167826203) q[1];
ry(0.05030497465019496) q[1];
rz(-2.8091255821394294) q[1];
rz(-1.511568472926434) q[2];
ry(0.04553382172753725) q[2];
rz(1.3964510322511128) q[2];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
2.75,
-10,
-10,
-10,
-10,
-10.25,
-9.5,
-9.25
] | 0.980973 | [
0.09085077104571271,
-0.39163003103168686,
0.029002652567583387,
-0.17994215576337833,
-0.023964673237098832,
-0.028853264432669792,
-0.16848169343109856,
-0.14065021757364785,
-0.17872212893725806,
-0.4178187803775564,
0.8594119505040079,
-0.03397819378386626,
0.7387488080723611,
-0.03214... | {
"n_parameters": 37,
"n_qubits": 7,
"optimal_eigenvalue": -31,
"target_ratio": 0.97,
"target_value": -30.07
} | 9 |
b46f04fc2a241c238bcfc66d2cc811fa | 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}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "... | {"states": [95, 31], "expectation_value": -2.419833963200609, "params": [[0.0444], [-0.040100000000000004]], "bitstrings": ["111110100000", "111111100000"], "total_optimization_steps": 10, "probabilities": [0.00039891832567070764, 0.00041020276993481575], "optimization_time": 3.949826717376709} | 1.0 * (Z(1) @ Z(2)) + -3.5 * (Z(4) @ Z(2)) + 1.5 * (Z(4) @ Z(1)) + 1.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(4)) + -3.0 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(1)) + 1.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 1.5 * (Z(0) @ Z(2)) + -3.0 * (Z(0) @ Z(1)) + -4.0 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + -3.5 * ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-50.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -45.0, "smallest_bitstrings": ["111111100000"], "largest_eigenvalue": 50.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.241120641042276) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.5400560211326056) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(-0.30018081504649563) q[4];
cx q[1], q[4];
h q[5];
cx q[2], q[5];
rz(-0.241120641042276) q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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 ... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIIIIZIZII",
"IIIIIIIZIIZI",
"IIIIIIZIIZII",
"IIIIIIZIIIZI",
"IIIIIIZZIIII",
"IIIIIZIIIZII",
"IIIIIZIIIIZI",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIIIIIIZIZ",
"IIIIIIIIIIZZ",
"IIIIIIIZIIIZ",
"IIIIIIZIIIIZ",
"IIIIIZIIIIIZ",
"IIIIIIIIZZII",
"IIIIIIIIZIZI",
"IIIIIIIZZ... | [
1,
-3.5,
1.5,
1,
0.5,
-3,
-3,
1,
1.5,
0.5,
1.5,
-3,
-4,
0.5,
-3.5,
-3.5,
-3,
-3.5,
0.5,
1,
-3,
-2.5,
-2,
-2.5,
1,
-2.5,
1,
-2.5,
1.5,
-2.5,
-2.5,
-3,
-3.5,
-3.5,
-2.5,
-3,
2,
2,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.531342 | [
-0.241120641042276,
-0.5400560211326056,
-0.30018081504649563,
0.030089868115491546,
-0.5941349416824981,
-0.461528391533734,
-0.6745777901685492,
-0.9188088190161049,
-0.21861038848651118,
-1.0323043977964945
] | {
"n_parameters": 10,
"n_qubits": 12,
"optimal_eigenvalue": -50,
"target_ratio": 0.97,
"target_value": -48.5
} | 248 |
5384376261088904827 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 5], [2, 3], [0, 3, 4], [0, 1], [1, 3, 4]]} | {"states": [39, 38], "expectation_value": -1.1393983422619691, "params": [2.2012, 1.0682, 0.5378000000000001, -0.0037, 2.189, 0.0022, 2.188, -0.0026000000000000003, 2.2008, 0.0033, 1.3892, 0.0068000000000000005, -0.019100000000000002, 2.1755, -2.1793, 0.9681000000000001, 0.9813000000000001], "bitstrings": ["011000", "0... | 0.5 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.3333333333333333 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.0 * Z(5) + 0.16666666666666674 * Z(0) + 0.3333333333333335 * Z(... | 4 | 6 | 1 | {"smallest_eigenvalues": [-1.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8333333333333335, "smallest_bitstrings": ["011001"], "largest_eigenvalue": 3.4999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.7141146087770562) q[1];
h q[2];
ry(-0.4300818071993781) q[2];
h q[3];
cx q[3], q[2];
ry(0.4300818071993781) q[2];
cx q[3], q[2];
ry(-0.7434531579698331) q[2];
ry(1.0874250113491177) q[3];
h q[4];
ry(1.1698713610041336) q[4];
cx q[4], q[3];
ry(-0.17... | OPENQASM 3.0;
include "stdgates.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": []} | [
"ZIIIIZ",
"IIZIIZ",
"IIZZII",
"IZIIIZ",
"IZZIII",
"IIIIZZ",
"IIZIZI",
"IZIIZI",
"ZIIIII",
"IIIIIZ",
"IIZIII",
"IIIZII",
"IZIIII",
"IIIIZI"
] | [
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0,
0.16666666666666674,
0.3333333333333335,
0,
0.3333333333333333,
0.16666666666666663
] | 0.970827 | [
1.1698713610041336,
-0.8601636143987562,
1.0007590249788045,
-1.4282292175541125,
0.913657807606187,
-0.6277286750161489,
0.34753440748586145,
-0.658856461448296,
0.23776703913977082,
-0.23144896590736846,
-0.36961143212674624,
-0.20096035493827055,
0.3159877939118117,
0.2438617982734775,
... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -1.833333333333334,
"target_ratio": 0.97,
"target_value": -1.7783333333333338
} | 7 |
16efd0d1722058bdcecd0a47f621047a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [24, 35], "expectation_value": -1.0179775620099771, "params": [[0.0669, 0.06860000000000001, 0.0664, 0.0424], [-0.0579, -0.058800000000000005, -0.0608, -0.046200000000000005]], "bitstrings": ["100111", "011100"], "total_optimization_steps": 10, "probabilities": [0.027817643327885447, 0.03218504686166219], "o... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + -1.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["011100"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2320663891682014) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.2320663891682014) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.2320663891682014) q[3];
cx q[0], q[3];
rz(-0.8149595538532273) q[0];
rx(-1.000242445136427) q[0];
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] 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": []} | [
"IIIIZZ",
"IIIZIZ",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"ZIIIZI",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-1,
0,
-1
] | 0.769935 | [
0.2320663891682014,
-0.8149595538532274,
0.0868387816876093,
-1.000242445136427,
1.281262008060064,
-1.253765500090689,
-0.48859011360813015,
0.47033374606546463,
-2.483859814368198,
-0.4210188815319589
] | {
"n_parameters": 10,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 289 |
c0497b20d0e680cacc77174a13e8b8b4 | 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": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [84, 85], "expectation_value": -2.892002161226328, "params": [[[0.0031000000000000003, 0.5362, 0.0078000000000000005, 0.0032], [0.528, 0.0095, 0.5241, 0.0033], [0.0025, -0.1782, 0.0089, -0.1832], [0.5296000000000001, -0.0029000000000000002, 0.5272, 0.009600000000000001], [-0.0019, 0.0109, 0.0023, 0.0134], [0... | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(1) @ Z(5)) + -0.125 * (Z(3) @ Z(1) @ Z(6)) + -0.125 * (Z(1) @ Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(5) @ Z(6)) + 0.12... | 12 | 8 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.375, "smallest_bitstrings": ["10110010", "10101100", "10111000", "11001001", "11001100", "11101000", "10101010"], "largest_eigenvalue": 6.625} | 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(-0.0034026311700899) q[1];
cx q[3], q[1];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(-0.0034026311700899) q[0];
cx q[6], q[0];
rz(0.08707718680774468) q[0];
rx(1.6068609355902328) q[0];
cx q[6], q[4];
rz(-0.00340263117008... | OPENQASM 3.0;
include "stdgates.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",
"IIIZZIII",
"IIIIZIZI",
"IIZIIIZI",
"IZIIIIZI",
"IIZIZIII",
"IZIIZIII",
"IZZIIIII",
"IIZIZIZI",
"IZIIZIZI",
"IZZIIIZI",
"IZZIZIII",
"IZZIZIZI",
"IIZIIZII",
"ZIIIIZII",
"ZIZIIIII",
"ZIZIIZII",
"IZIZIIII",
"ZIIIIIIZ",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZII... | [
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
-1,
-0.125,
-0.25,
-0.125,
-0.5,
0.125,
-0.125,
-0.25
] | 0.970369 | [
-0.0034026311700899,
-0.26301475790782497,
0.08707718680774458,
1.5595170852256997,
1.5988629064548665,
1.6068609355902328,
-1.5706328661308941,
1.6822012540344695,
-0.1845861633258411,
1.1352603352915303,
0.43534770012848195,
-0.05375233225482663,
-0.1953687365154703,
3.189745870967778,
... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 166 |
473775bc8d8b4cca680d00f7b64c1aa1 | 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": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [44, 41], "expectation_value": -4.996464150018096, "params": null, "bitstrings": ["010011", "010110"], "total_optimization_steps": 25, "probabilities": [0.0663480739860024, 0.9303666439722974], "optimization_time": 20.623874187469482} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 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(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.5 * Z(0) + -2.0 * Z(4) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["010011", "010110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022388232708840404) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022388232708840404) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022388232708840404) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.022388232708840404) q[3];
cx q[1], ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[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",
"IZIIZI",
"IZIIIZ",
"IIIZZI",
"IZIZII",
"IIZIZI",
"IZZIII",
"ZIIIZI",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-2,
-0.5,
-1,
-1
] | 0.970792 | [
0.022388232708840404,
-0.16546972504389865,
1.387189998889542,
1.1317721305414625,
-1.0291416278486831,
1.3553919116902904,
-0.24772195907827305,
-0.6852193775874179,
1.0091668921719015,
0.9126657422045303,
0.15550491965267638,
0.23151516878776346
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 42 |
-2075692636776882479 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[4, 5, 7], [2, 4], [0, 4], [8, 1], [3, 5], [1, 6]]} | {"states": [152, 29], "expectation_value": -2.538759358223868, "params": null, "bitstrings": ["101100111", "111100010"], "total_optimization_steps": 72, "probabilities": [0.04369320044418283, 0.6834725922222706], "optimization_time": 116.36350846290588} | 0.16666666666666666 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.16666666666666663 * Z(5) + 0.16666666666666674 * Z(4) + 0.16666666666666666 * Z(7) + 0.0 * Z(2... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.8333333333333335, -2.8333333333333335, -2.8333333333333335, -2.8333333333333335], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.8333333333333326, "smallest_bitstrings": ["111001000", "101001101", "111100010", "101100111"], "largest_eigenvalue": 3.5000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[4];
rz(-0.27606508815080405) q[4];
cx q[5], q[4];
h q[6];
h q[7];
cx q[5], q[7];
rz(-0.27606508815080405) q[7];
cx q[5], q[7];
cx q[4], q[7];
cx q[5], q[3];
rz(-1.1032414258039782) q[3];
cx q[5], q[3];
rz(0.0684... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[8], q[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... | [
"IIIZZIIII",
"IZIZIIIII",
"IZIIZIIII",
"IIIIZIZII",
"IIIIZIIIZ",
"ZIIIIIIZI",
"IIIZIZIII",
"IIZIIIIZI",
"IIIZIIIII",
"IIIIZIIII",
"IZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"ZIIIIIIII",
"IIIIIZIII",
"IIZIIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.5,
0.16666666666666663,
0.16666666666666674,
0.16666666666666666,
0,
0,
0,
0,
0,
0
] | 0.638592 | [
-0.27606508815080405,
-1.1032414258039782,
0.06844865994187842,
0.7919367371963812
] | {
"n_parameters": 4,
"n_qubits": 9,
"optimal_eigenvalue": -2.8333333333333335,
"target_ratio": 0.97,
"target_value": -2.7483333333333335
} | 122 |
55e47338bba624266c8b8b1563bf0dbf | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 4}, {"weight": 15, "source": 0, "target": 6}, {"weight":... | {"states": [980, 468], "expectation_value": -92.34569622922072, "params": [0.23600000000000002, 0.154, 0.232, 0.1504, 0.49110000000000004, 0.046200000000000005, 0.49000000000000005, 0.023100000000000002, 0.49960000000000004, -0.0024000000000000002, 0.49670000000000003, 0.0013000000000000002, 0.4948, -0.0053, 0.49520000... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(9) ... | 7 | 10 | 3 | {"smallest_eigenvalues": [-110.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -97.5, "smallest_bitstrings": ["1000101011"], "largest_eigenvalue": 186.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.415302044782726) q[0];
rz(1.1657900400473746) q[0];
rx(0.7177420802839939) q[1];
rz(1.4685546724748582) q[1];
rx(0.5130561226363791) q[2];
rz(1.6762505375391878) q[2];
rx(0.8848865723513896) q[3];
rz(1.5456263331577533) q[3];
rx(0.06361022960991862) q[4];
rz(2.276... | 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": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIZIIIZI",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIZIIIIZI",
"IIIZZIIIII",
"IIZIIIIIZI",
"IIZIZIIIII",
"IIZZIIIIII",
"IZIIIIIZII",
"ZIZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIIZIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
25,
7,
13,
11,
4.5,
25,
6,
19.5,
-4,
-3
] | 0.973151 | [
1.415302044782726,
-0.4050062867475215,
0.717742080283994,
-0.1022416543200387,
0.5130561226363792,
0.10545421074429129,
0.8848865723513896,
-0.02516999363714344,
0.06361022960991863,
0.7058170123223206,
1.0026760785736075,
-0.13993836538793006,
0.052331285877490856,
-0.6431183863744506,
... | {
"n_parameters": 99,
"n_qubits": 10,
"optimal_eigenvalue": -110.5,
"target_ratio": 0.97,
"target_value": -107.185
} | 135 |
13897d244e0881b4447dd2a9a298bf14 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [200, 204], "expectation_value": -2.2873487168760582, "params": [0.4061, -0.0001, 0.40690000000000004, 0.0001, 0.398, -0.0002, 0.4022, -0.003, 0.00030000000000000003, 0.28650000000000003, 0.007, 0.30710000000000004, 0.0699, 0.1736, 0.0746, 0.1696, 0.3411, 0.0105, 0.3347, 0.030500000000000003, 0.3257, 0.04160... | 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(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(6)) + -0.25 *... | 7 | 8 | 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": ["00110011", "00111001", "10100110", "10101001", "00110110"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.030727019186459183) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.030727019186459183) q[1];
cx q[2], q[1];
rz(-1.5882059243987203) q[2];
rx(1.5243136193984859) q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.030727019186459183) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIZZZIII",
"IIIIZIIZ",
"IZIZIIII",
"IZIIIIZI",
"ZIIIIIZI",
"ZZIIIIII",
"ZZIIIIZI",
"ZIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.25,
0,
-0.75,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25
] | 0.98132 | [
0.030727019186459183,
-1.5882059243987205,
1.700638967703943,
-1.2603176422809077,
1.524313619398486
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 27 |
a53162d430fc2b38125cbaef83b3d844 | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 6}, {"sour... | {"states": [442, 314], "expectation_value": -3.9810030030009536, "params": [[[0.9113, 0.0012000000000000001], [0.7424000000000001, 0.038900000000000004], [-0.0068000000000000005, -0.46540000000000004], [0.9028, -0.0011], [0.8342, 0.0013000000000000002], [0.909, -0.0011], [-0.0047, 0.46230000000000004], [0.9039, 0.0028]... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(6) + -0.5 * Z(1) + -0.5 * Z(4) + -0.5 * Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["001010101", "011000101"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-1.8905119231269332) q[0];
ry(3.050493305117885) q[0];
rz(1.2317599082613313) q[0];
rz(1.3077256967631854) q[1];
ry(0.05964221512471408) q[1];
rz(-1.3311779976969633) q[1];
rz(-1.3222216259860362) q[2];
ry(0.2520676604762743) q[2];
rz(1.2251177782982001) q[2];
rz(3.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIZIIIZII",
"IIZIIIIIZ",
"IIIIIIZZI",
"IIIIZIIZI",
"IZIIIIZII",
"ZIZIIIIII",
"ZIIIZIIII",
"ZZIIIIIII",
"ZIIIIZIII",
"IIZZIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIIIZI",
"IIIIZIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIZIII",
"IIIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-0.5,
-0.5,
-0.5,
-1.5,
0,
0
] | 0.97287 | [
1.7050569354499234,
0.028629143826862255,
0.16570689637558308,
0.14269559304345558,
0.21264133553251552,
0.13835249725841303,
2.272906988987627,
0.15105420690133764,
1.9211429024976425,
0.18645033243648884,
1.5353096928066183,
-0.1599635222432601,
0.30894401416251943,
1.6655768866930192,
... | {
"n_parameters": 34,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 20 |
cde6b48ed870286595c1455af7aff8bd | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}]} | {"states": [61051, 60795], "expectation_value": -19.77299446074027, "params": null, "bitstrings": ["0001000110000100", "0001001010000100"], "total_optimization_steps": 100, "probabilities": [0.04221512464039476, 0.7004298277408587], "optimization_time": 869.8538393974304} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(2)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(... | 1 | 16 | 2 | {"smallest_eigenvalues": [-20.49999999999988], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.499999999999847, "smallest_bitstrings": ["0001001010000100"], "largest_eigenvalue": 69.50000000000018} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 0}]}} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\nry(1.5577) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3... | [
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIIIIZII",
"IIIIIIIIZIIIIIIZ",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZZIIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
... | 0.989 | [
1.5946656311860272,
1.4546236341953724,
-1.3915392123108226,
-1.043543998175015,
-0.7696115407594695,
0.5858465026550362,
0.5980335866172003,
-0.5311148471859957,
0.6361651825545125,
-0.4145474599646862,
-0.39359418429255133,
-0.3850745616697103,
-0.5256664875247946,
-0.3291045904565906,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 1 |
b4844a241e7c75ea7eb690acd3c4c004 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [371, 245], "expectation_value": -0.8933036698431013, "params": [[-0.059500000000000004, -0.07250000000000001], [0.07150000000000001, 0.07250000000000001]], "bitstrings": ["010001100", "100001010"], "total_optimization_steps": 10, "probabilities": [0.00309854802425838, 0.0030985480242583813], "optimization_t... | 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[1] q;
rz(2.6652466560128794) q[0];
ry(0.015534336535229091) q[0];
rz(-2.4994394359393826) q[0];
| OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(x0) q[1... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 0}, {"id": 1}], "edges": [{"source": 2, "target": 0}, {"source": 2, "target": 1}, {"source": 0, "target": 1}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIZIIZII",
"IIIIIZIIZ",
"IIIZIZIII",
"IIIIZIIZI",
"IIIZZIIII",
"IIIIZZIII",
"ZIIIIIZII",
"ZIIZIIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIZIIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"ZZIIIIIII",
"IZZIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.999879 | [
-0.13358933430461783,
0.05925579854844312,
0.1941292476304146,
-0.0004540644499549003,
-0.07413458086647713,
0.10747849798655963
] | {
"n_parameters": 6,
"n_qubits": 1,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 1 |
15a5f37f6b324be94a7fa874923284e5 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "ta... | {"states": [6, 7], "expectation_value": -11.8227299974197, "params": [[[0.4277, -0.1854], [0.48410000000000003, 0.1827], [0.505, -0.1806], [0.42850000000000005, 0.1855], [0.4287, 0.18710000000000002], [0.8017000000000001, -0.0014], [0.7988000000000001, 0.0016], [0.79, 0.002]], [[0.4223, 0.0085], [0.47990000000000005, 0... | 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)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2... | 1 | 8 | 2 | {"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(-0.08660647235805458) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.08660647235805458) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.08660647235805458) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.08660647235805458) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"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,
3,
3,
2.75,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
-7,
-7.25,
-7,
-7.25,
-7.25,
-6.5,
-6.5,
-6.25
] | 0.9711 | [
-0.08660647235805458,
-0.12731865885304094,
0.486571998827358,
0.7706787253710705,
-0.8608749269636787,
-0.3691202591452013,
0.9610136853971378,
-0.12372097609642718,
0.008478123483654525,
1.277526397553868,
0.6268134313552999,
-0.10538367740546278,
-0.7851989999830177,
0.6744201652912936,... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 86 |
4c4da3ad491bff88a89c5a8ec3c34597 | 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}, {"id": 8}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 7}, {"weight": 16, "source": 1, "target": 5}, {"weight": 2, "sourc... | {"states": [492, 220], "expectation_value": -22.94205742011787, "params": null, "bitstrings": ["000010011", "100100011"], "total_optimization_steps": 100, "probabilities": [0.06607608965990223, 0.10720124909597452], "optimization_time": 153.65291905403137} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(1)) + 8.0 * Z(1) + 5.0 * Z(0) + 8.0 * Z(2) + 16.5 * Z(4) + 6.0 * Z(3) + 8.5 * Z(5) +... | 1 | 9 | 2 | {"smallest_eigenvalues": [-73.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 126.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.16638194959451016) q[0];
rz(1.3504463437628047) q[0];
rx(0.13628005646933497) q[1];
rz(1.547930008659316) q[1];
rx(0.0334887267522833) q[2];
rz(1.657546540670765) q[2];
rx(-0.18794429582342204) q[3];
rz(1.3716830215976152) q[3];
rx(0.023360703458834325) q[4];
rz(1.... | null | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"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(38.6317) 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] = ... | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"IIZIZIIII",
"IIZIIZIII",
"IZIIIIZII",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
8,
5,
8,
16.5,
6,
8.5,
13.5,
8.5,
-3
] | 0.971153 | [
0.16638194959451022,
-0.22034998303209202,
0.13628005646933497,
-0.022866318135580904,
0.0334887267522833,
0.08675021387586856,
-0.18794429582342204,
-0.19911330519728157,
0.023360703458834328,
-0.038151300402218674,
0.2152659055591548,
-0.008601300404359306,
0.04082613652248435,
0.4900848... | {
"n_parameters": 176,
"n_qubits": 9,
"optimal_eigenvalue": -73,
"target_ratio": 0.97,
"target_value": -70.81
} | 257 |
69144809aea48cb46eae9c3950f24a15 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [12, 9], "expectation_value": -1.4741122302370115, "params": null, "bitstrings": ["0011", "0110"], "total_optimization_steps": 12, "probabilities": [0.07397885559690098, 0.9005801026366488], "optimization_time": 5.430545091629028} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(1) + 0.0 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.5, "smallest_bitstrings": ["1100", "0110", "0011"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.12397642308111168) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.12397642308111168) q[0];
cx q[1], q[0];
rz(-1.0412824378997723) q[0];
rx(-0.6835570607299903) q[0];
rz(0.6551677416149957) q[1];
rx(-0.6835570607299903) q[1];
rz(-1.0... | null | null | {"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];\nry(-1.4449) q[2];\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 q[2];\... | [
"IZIZ",
"IZZI",
"ZIZI",
"IZII",
"IIIZ",
"IIZI",
"ZIII"
] | [
0.5,
0.5,
0.5,
-0.5,
0,
-0.5,
0
] | 0.983631 | [
0.12397642308111168,
-1.0412824378997723,
0.6551677416149958,
-0.6835570607299902,
0.023146836072959226,
-0.5048269617904716,
0.6814886991250588,
-0.7325852103426811,
0.006386053532258323,
-0.47655542685563346,
0.11597712833781966,
-0.2813397718212035
] | {
"n_parameters": 12,
"n_qubits": 3,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
00c47f772e828bc0d4453cbe4002ef93 | kclique | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [6, 7], "expectation_value": -3.250824392895308, "params": [[[1.1591, 0.0041], [1.0842, 0.006900000000000001], [1.1642000000000001, 0.0027], [1.1634, 0.0009000000000000001], [1.5975000000000001, 0.009300000000000001], [1.5832000000000002, 0.0067], [1.5808, 0.007200000000000001]]], "bitstrings": ["1111001", "... | 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)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 *... | 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[9] q;
ry(0.3740494778088388) q[0];
rz(0.038480760740334644) q[0];
ry(0.224551751390454) q[1];
rz(0.5370851894701437) q[1];
cx q[1], q[0];
ry(0.4448488714328079) q[0];
rz(0.05144857571396507) q[0];
ry(0.3371077171914179) q[1];
rz(0.08762329343067346) q[1];
ry(0.104881867130796... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"k": 4} | {"circuits": [], "gradients": []} | [
"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,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.25,
-3.5,
-3.25,
-3.25,
-3.25,
-2.75,
-3,
-3
] | 0.973285 | [
0.3740494778088388,
0.038480760740334644,
0.224551751390454,
0.5370851894701437,
0.10488186713079617,
0.1035541280360952,
-0.01808806022148845,
-0.024568873931475266,
0.25887705446175446,
0.13569640496103613,
0.02791278499853541,
0.3774374145905032,
1.1970490074798599,
-0.17339973107511375... | {
"n_parameters": 127,
"n_qubits": 9,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 80 |
42c8a30369b7a75bc5bed2e6569b1f7f | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [39, 55], "expectation_value": -8.870067691944683, "params": null, "bitstrings": ["11011000", "11001000"], "total_optimization_steps": 80, "probabilities": [0.28174963113822254, 0.4245343800743181], "optimization_time": 109.2421715259552} | -1.0 * (Z(0) @ Z(1)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + 1.75 * (Z(7) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(5)) + -1.25 * (Z(3) @ Z(7)) + -2.5 * (Z(3) @ Z(2)) + -0.75 * (Z(6) @ Z(7)) + -2.75 * Z(1) + -0.25 * Z(0) + 0.0 * Z(5)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-15.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.75, "smallest_bitstrings": ["11001000"], "largest_eigenvalue": 18.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.756390603361468) q[0];
h q[1];
h q[2];
h q[3];
ry(1.960802890701371) q[3];
rz(-pi) q[4];
ry(-0.03363957311324232) q[4];
h q[5];
ry(0.7593746714538002) q[5];
cx q[2], q[5];
ry(-0.7593746714538002) q[5];
cx q[2], q[5];
ry(0.2851378825371864) q[2];
cx q[3], q... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.2796) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIZIIIZI",
"IIZIIIIZ",
"ZIIIIIIZ",
"IIIIIZZI",
"IIZIIZII",
"IIIZIIZI",
"IIIIZIZI",
"IIZIZIII",
"ZIIIZIII",
"IIIIZZII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IZIIIIII"
] | [
-1,
-1.75,
-0.5,
1.75,
-0.5,
-3,
-0.5,
-1,
-1.75,
-1.25,
-2.5,
-0.75,
-2.75,
-0.25,
0,
-0.25,
-1,
-0.5,
4,
0.75
] | 0.973129 | [
1.960802890701371,
1.5187493429076004,
0.5702757650743728,
0.5884320148351232,
-0.35492320054565396,
-0.00790800591482066,
-0.009886103992825745,
-0.11041315474839637,
0.4022843241340985,
0.967658013117771,
1.6733011054968419,
-1.512781206722936,
1.8222976834996618,
-0.9970092432471047,
... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -15.75,
"target_ratio": 0.97,
"target_value": -15.2775
} | 41 |
16e531ebd5c4fa365456c9500ea8e716 | 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": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [70, 7], "expectation_value": -5.4064340538236655, "params": [[-0.0086, 0.0453, 0.052000000000000005, 0.0135], [0.0235, -0.0318, -0.053200000000000004, -0.0391]], "bitstrings": ["0111001", "1111000"], "total_optimization_steps": 10, "probabilities": [0.01569678783179421, 0.016032966108324644], "optimization_... | 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 ... | 10 | 7 | 4 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.17931700348995208) q[0];
rz(-0.5295651513983046) q[0];
rx(0.1383091762588557) q[1];
rz(-2.4427159179592346) q[1];
rx(0.19192920998953547) q[2];
rz(0.7692060885471252) q[2];
rx(0.010941951037614334) q[3];
rz(1.0249064769628937) q[3];
rx(3.3823159256033737) 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[... | {"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,
2.5,
2.25,
2.25,
2.5,
2.5,
-3.25,
-3.5,
-3.5,
-3.5,
-3,
-2.75,
-3
] | 0.970005 | [
-0.17931700348995208,
-0.5295651513983046,
0.1383091762588557,
-2.4427159179592346,
0.19192920998953547,
0.7692060885471252,
0.010941951037614334,
1.0249064769628937,
3.3823159256033737,
0.76377487209716,
2.7495714135870237,
0.6576922218401471,
3.0317260152509355,
-2.4912281243830905
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 29 |
5706636009ecc7f801b207a9bea4fa6f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [608, 864], "expectation_value": -6.148698591982941, "params": [[[1.6885000000000001, 0.0058000000000000005], [1.622, 0.009000000000000001], [-0.0057, 0.0014], [1.7111, 0.0086], [1.7143000000000002, 0.0086], [1.4651, 0.0027], [0.0309, 0.0079], [1.5071, 0.0085], [-0.0019, 0.0067], [-0.0028, 0.0021000000000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -7.0, "smallest_bitstrings": ["0010011111", "1110001011", "0110011011", "1010001111", "1100101011"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(3.1980635691646513) q[0];
rz(0.759803196415687) q[0];
rx(-0.045090315885743776) q[1];
rz(-1.3475638991907744) q[1];
rx(0.21301575480574297) q[2];
rz(0.06596655822733223) q[2];
rx(3.220802668744705) q[3];
rz(-1.087016133412506) q[3];
rx(2.646223625007433) q[4];
rz(-1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIZIIIIZ",
"IZIIIIIIIZ",
"IZIIZIIIII",
"IIIIIIIZZI",
"IZIIIIIIZI",
"IZZIIIIIII",
"IIZIIIIIZI",
"ZIIIIIIZII",
"ZIIIZIIIII",
"ZIIIIIIIZI",
"ZIZIIIIIII",
"IIIIIZIZII",
"IZIIIIZIII",
"ZIIIIIZIII",
"IIIZZIIIII",
"IIIZIZIIII",
"IIIZIIZIII",
"IIIIIIIZII",
"IIIIIIIIIZ"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-2,
-1.5,
-1,
-2,
-0.5,
-1,
-1
] | 0.979182 | [
3.1980635691646513,
0.759803196415687,
-0.045090315885743776,
-1.3475638991907744,
0.21301575480574297,
0.06596655822733223,
3.220802668744705,
-1.087016133412506,
2.646223625007433,
0.04120851849734136,
0.15688366627997702,
0.09578741952110137,
-0.9496356925880214,
2.8242242439449807,
0... | {
"n_parameters": 19,
"n_qubits": 10,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 21 |
-8752437030611392589 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 3, 6], [2, 3, 4, 6], [1, 3, 5, 6], [0, 1, 4, 6], [1, 2, 6], [2, 4, 5], [3, 4, 5, 6], [1, 2, 3, 5]]} | {"states": [124, 91], "expectation_value": -1.1816838400232674, "params": [[-0.3497], [0.3549]], "bitstrings": ["0000011", "0100100"], "total_optimization_steps": 40, "probabilities": [0.020871910870678974, 0.021426109999791478], "optimization_time": 1.6265628337860107} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.25 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.41666666666666663 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.25 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(6)) + 0.08333333333333333 * (Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.083333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["0100100"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.1748400922983568e-08) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(2.069126697184988e-09) q[3];
cx q[0], q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[6];
rz(3.7575437712911786e-08) q[6];
cx q[1], q[6];
cx q[0], q[6];
cx q[1], 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 ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIZIII",
"IIIIZZI",
"IIIZZII",
"ZIIIZII",
"IIZIIZI",
"IIZIIIZ",
"IIZZIII",
"ZIZIIII",
"IIZIZII",
"IZIIIZI",
"IZIZIII",
"ZZIIIII",
"IZIIZII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IIIIZII",
"IIZ... | [
0.16666666666666666,
0.25,
0.08333333333333333,
0.41666666666666663,
0.16666666666666666,
0.3333333333333333,
0.25,
0.16666666666666666,
0.25,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.25,
0.25,
0.16666666666666666,
0.25,
0.16666666666666666,
0.25,
0.25,
... | 0.84 | [
-1.1748400922983568e-8,
-5.727206352939917e-10,
2.069126697184988e-9,
3.7575437712911786e-8,
-0.25713103431681117,
-1.5707962681965641,
-1.5707960447229559,
-1.5707963095339847,
1.5707962415785426,
1.5707963963648843,
-1.5707963582094495,
1.570796366433783
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -2.083333333333333,
"target_ratio": 0.97,
"target_value": -2.020833333333333
} | 319 |
ea2e3a0d0378f3ac5c8809953eb5c8b9 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [57, 51], "expectation_value": -4.99989899194261, "params": null, "bitstrings": ["1000110", "1001100"], "total_optimization_steps": 35, "probabilities": [1.6350062746436547e-05, 0.9999303727531189], "optimization_time": 36.95959162712097} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(5) + -0.5 * Z(6) + -1.5 * Z(4) + 0.0 * Z(1) + -0.5 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1001100"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.03049018985054917) q[0];
rz(-0.652895808350848) q[0];
rx(1.0828600210922614) q[1];
rz(0.11898671126681482) q[1];
rx(0.9878975468726287) q[2];
rz(0.489093148051591) q[2];
rx(0.02089852220290524) q[3];
rz(0.5743749621607193) q[3];
rx(-0.12966988553380707) q[4];
rz(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[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", ... | [
"IIIIZIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIZIZII",
"IZZIIII",
"ZIZIIII",
"IIZIIZI",
"IIIZZII",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIZIIII",
"IIIIIZI",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-0.5,
-1.5,
0,
-0.5
] | 0.976671 | [
0.030490189850549174,
-0.6018924218358704,
1.0828600210922616,
0.0027489327041744227,
0.9878975468726285,
0.3026425215455413,
0.020898522202905244,
0.7501048123061079,
-0.1296698855338071,
-0.06885013052475858,
0.9457023206511923,
0.29780809922888296,
1.1966749650026702,
0.0110733309894557... | {
"n_parameters": 58,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 16 |
44e61706daf92d69379b166200daab47 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [190, 186], "expectation_value": -94.18892878689122, "params": [0.0015, 0.5947, 0.2277, 0.30810000000000004, 0.7856000000000001, 0.09090000000000001, 0.1883, 0.3487, 0.7868, -0.0056, 0.7893, -0.0031000000000000003, 0.7888000000000001, 0.0862, 0.39390000000000003, 0.2044, 0.7849, 0.1366, -0.0151, 0.4172, 0.00... | 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(6) @ Z(3)) + 6.0 * (Z(7) @ Z(2)) + 6.0 * (Z(7) @ Z(4)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(8) @ Z(6)) + 6.0 * (Z(8) @ Z(7)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(5) @ Z(7)) + 6.0 * (Z(5) @ Z(8)) + 6.0 * (Z(9) @ Z(8)) + 13.5 * Z(2) ... | 18 | 10 | 4 | {"smallest_eigenvalues": [-105.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -92.5, "smallest_bitstrings": ["1101000101"], "largest_eigenvalue": 212.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.010026770496114341) q[0];
rz(0.4814829529434954) q[0];
rx(0.1425451333362085) q[1];
rz(0.5136591468820073) q[1];
rx(0.961713972715116) q[2];
rz(0.05370277798275783) q[2];
rx(0.05151439203857393) q[3];
rz(0.33290638959564645) q[3];
rx(0.6485784641976432) q[4];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIZIIZIII",
"IIZIIIIZII",
"IIZIIZIIII",
"IIZZIIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IIIIZIIIZI",
"IIIZZIIIII",
"IIZIZIIIII",
"IZIIZIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIZIIIIII",
"IIZIIIIIII"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
13.5,
5,
12,
4,
20,
21.5,
21.5,
22,
-1,
-10
] | 0.979182 | [
0.010026770496114341,
0.6615861130641483,
0.1425451333362085,
0.5136591468820073,
0.961713972715116,
0.05370277798275783,
0.05151439203857393,
0.33290638959564645,
0.6485784641976432,
0.03144393498802607,
0.7477115642003458,
-0.09935087043384783,
0.6396377049775245,
0.08710635812745651,
... | {
"n_parameters": 113,
"n_qubits": 10,
"optimal_eigenvalue": -105.5,
"target_ratio": 0.97,
"target_value": -102.335
} | 12 |
69144809aea48cb46eae9c3950f24a15 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [60285, 55230], "expectation_value": -8.693862493457758, "params": [[0.054700000000000006, 0.0558, 0.0663, 0.07200000000000001], [-0.050100000000000006, -0.033800000000000004, -0.049100000000000005, -0.0541]], "bitstrings": ["0001010010000010", "0010100001000001"], "total_optimization_steps": 10, "probabilit... | 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(7)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(... | 1 | 16 | 4 | {"smallest_eigenvalues": [-20.499999999999844], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.499999999999787, "smallest_bitstrings": ["0010100001000001"], "largest_eigenvalue": 69.49999999999982} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.12397642308111168) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.12397642308111168) q[0];
cx q[1], q[0];
rz(-1.0412824378997723) q[0];
rx(-0.6835570607299903) q[0];
rz(0.6551677416149957) q[1];
rx(-0.6835570607299903) q[1];
rz(-1.0... | 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[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 3}, {"id": 1}, {"id": 0}, {"id": 2}], "edges": [{"source": 3, "target": 0}, {"source": 1, "target": 0}, {"source": 1, "target": 2}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIZIIIZIII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIIIZIIZI",
"IIIIIIIIIIIZZIII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIZIIZIIII",
"IIIIIIIIIIZZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,... | 0.983631 | [
0.12397642308111168,
-1.0412824378997723,
0.6551677416149958,
-0.6835570607299902,
0.023146836072959226,
-0.5048269617904716,
0.6814886991250588,
-0.7325852103426811,
0.006386053532258323,
-0.47655542685563346,
0.11597712833781966,
-0.2813397718212035
] | {
"n_parameters": 12,
"n_qubits": 3,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
b301caa8ee54d69b7ea37306c72194d5 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 6, "source": 0, "t... | {"states": [214, 118], "expectation_value": -13.52267599729324, "params": [[-0.0346, -0.0194], [0.058100000000000006, 0.06280000000000001]], "bitstrings": ["00101001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.010445257055960711, 0.012147848636950977], "optimization_time": 2.859774112701416} | 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 7.5 * Z(0) + 13.5 * Z(3) + 18.0 * Z(1) + 18.0 * Z(2) + 8.0 * Z(5) + 4.5 * Z(4)... | 1 | 8 | 2 | {"smallest_eigenvalues": [-64.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 126.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-0.06347993300546761) q[0];
ry(2.992575480203145) q[0];
rz(-2.8384273294090185) q[0];
rz(2.1169877527792913) q[1];
ry(0.32367041637651545) q[1];
rz(-0.9241277141255932) q[1];
rz(0.3928639994170604) q[2];
ry(2.9960386583190366) q[2];
rz(-2.9496046030450467) q[2];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIIIIZZ",
"IIIIZIZI",
"IIIIIZIZ",
"IIIIZZII",
"IIIIIZZI",
"IIZIIZII",
"IIZZIIII",
"IZIZIIII",
"ZIIIIIZI",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
7.5,
13.5,
18,
18,
8,
4.5,
6,
1
] | 0.975073 | [
0.7541740997564996,
-0.08897060080098201,
0.0341104565438206,
0.3162561023169565,
0.9646454844957498,
-0.08022338423338521,
-0.015940874132053987,
0.24465601585825247,
1.1360293018527372,
0.15521536851054535,
0.0916895373402746,
-0.42605715799213406,
0.009023942239593907,
0.136073202055540... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -46,
"target_ratio": 0.97,
"target_value": -44.62
} | 12 |
732c260e1c0902cbe3cb22d766daa7cc | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 3, "so... | {"states": [53, 54], "expectation_value": -10.331102050909694, "params": null, "bitstrings": ["1111001010", "1111001001"], "total_optimization_steps": 56, "probabilities": [0.06602023930105408, 0.9316334213246862], "optimization_time": 110.93396759033203} | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(1) @ Z(2)) + 0.6666666666666667 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-10.333333333333332, -10.333333333333332, -10.333333333333332, -10.333333333333332], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -9.666666666666668, "smallest_bitstrings": ["1111001001", "1111001010", "1111010011", "1111100011"], "largest_eigenvalue": 26.666666666666668} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.008562219394374999) q[0];
rz(-0.18065508670005936) q[0];
rx(-0.0028228946995007883) q[1];
rz(-0.28081080015860127) q[1];
rx(0.008562219394374997) q[2];
rz(0.009275911461020393) q[2];
rx(0.008562219394374997) q[3];
rz(0.16646644706220792) q[3];
rx(0.440647895616474... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.2796) 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]... | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IIIIIIZIZI",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIZIIZII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIZIIIZII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIZIIIIZII",
"IIZIIZIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IZIIIIZIII",
"IZIIIZIIII"... | [
-0.5,
-1,
0.6666666666666667,
0.5,
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-1,
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0.5,
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0.5,
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1,
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1.1102230246251565e-16,
2.220446049250313e-16,
0,
2.5,
2.5,
2,
4,
-0.5,
-0.5
] | 0.979582 | [
0.008562219394374997,
-0.15097596248673917,
-0.0028228946995007883,
-0.28081080015860127,
0.009275911461020393,
0.16646644706220792,
0.4406478956164749,
-0.09140447979676149,
2.665613078940768,
-0.11848032829119896,
3.109469190815953,
0.2534456444784792,
3.2595205084667747,
-0.077611468584... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -10.333333333333332,
"target_ratio": 0.97,
"target_value": -10.023333333333332
} | 11 |
93141c357d164fcf2a36ba666f8f01e3 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [25, 22], "expectation_value": -1.5007434388240293, "params": null, "bitstrings": ["00110", "01001"], "total_optimization_steps": 29, "probabilities": [0.06723978163605852, 0.6325175128957774], "optimization_time": 22.32169461250305} | 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) | 1 | 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];
... | 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];\ncry(-1.3016) q[2], 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... | [
"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 |
f9c36f837fe19b4c77f3d9cc45d33715 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [12, 140], "expectation_value": -4.965333578756699, "params": [1.6103, -0.0025, 0.2595, 0.0032, 0.0697, -0.0032, 1.6076000000000001, 0.0013000000000000002, 1.6027, -0.0037, 1.6065, 0.0019, 0.004200000000000001, 0.0097, -0.0091, 0.00030000000000000003, -1.5767, 1.5782, 1.5911000000000002, -1.597, 1.5793000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(1) ... | 4 | 8 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.0, "smallest_bitstrings": ["10011011", "01101110", "01110011", "01110110", "10001111"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(2.6853993425611278) q[0];
rz(1.5611463898060984) q[0];
rx(0.10888247611549896) q[1];
rz(1.3981568214959772) q[1];
rx(-0.12218474180078887) q[2];
rz(1.7736682688501197) q[2];
rx(1.5913077373863955) q[3];
rz(1.5688548873777428) q[3];
rx(1.386731936306113) q[4];
rz(1.58... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IIIZIIZI",
"IIIZIZII",
"ZIIIIIZI",
"ZIIIIZII",
"ZZIIIIII",
"IIIZZIII",
"IZZIIIII",
"ZIZIIIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IZIIIIII",
"IIIZIIII",
"ZIIIIIII",
"IIIIZIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-2,
-1,
-1.5,
-0.5,
-1
] | 0.972774 | [
2.6853993425611278,
-0.009649936988798041,
0.10888247611549896,
-0.17263950529891914,
-0.12218474180078888,
0.2028719420552238,
1.5913077373863957,
-0.0019414394171537314,
1.386731936306113,
0.015207938575384515,
2.773858751178151,
-0.9402167350147189,
-0.23157943933749642,
-0.617313057848... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 17 |
0b641e78cabb3c51d33f15ee04149ee8 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 4, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 7}, {"capacity": 2, "source": ... | {"states": [2045, 2041], "expectation_value": -21.76040391227621, "params": [[[-0.0085, 0.0032], [-0.0114, -0.0026000000000000003], [0.0012000000000000001, 0.0023], [-0.0025, 0.0026000000000000003], [-0.0011, 0.0018000000000000002], [-0.0017000000000000001, 0.0027], [-0.0004, 0.0027], [0.0, 0.0026000000000000003], [-0.... | -1.0 * (Z(0) @ Z(9)) + -1.25 * (Z(1) @ Z(9)) + -0.5 * (Z(10) @ Z(1)) + -0.75 * (Z(4) @ Z(9)) + -1.0 * (Z(4) @ Z(10)) + -1.0 * (Z(5) @ Z(4)) + -1.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(6)) + -1.25 * (Z(7) @ Z(5)) + -1.0 * (Z(7) @ Z(2)) + 1.25 * (Z(3) @... | 15 | 12 | 4 | {"smallest_eigenvalues": [-22.25, -22.25, -22.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -21.25, "smallest_bitstrings": ["100000000100", "100000000110", "110000000110"], "largest_eigenvalue": 24.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.016082605702940997) q[0];
ry(-0.4005639676501336) q[1];
ry(0.06105957810008841) q[2];
ry(-0.18096829108927506) q[3];
ry(0.016390443440520798) q[4];
ry(0.10636216783346156) q[5];
ry(-0.044571672899956664) q[6];
ry(0.0716701350019847) q[7];
ry(0.06105957810008841) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIZIIIIIIIIZ",
"IIZIIIIIIIZI",
"IZIIIIIIIIZI",
"IIZIIIIZIIII",
"IZIIIIIZIIII",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIIIIZIZII",
"IIIIIIZIIZII",
"IIIIIZIIIZII",
"IIIIZIZIIIII",
"IIIIZIIIIZII",
"IIIIIIIIZIIZ",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIIIIIZZII",
"IIIIZIIIZ... | [
-1,
-1.25,
-0.5,
-0.75,
-1,
-1,
-1.25,
-0.5,
-2,
-0.5,
-0.25,
-1.25,
-1,
1.25,
-1.25,
-1.25,
-0.25,
-1,
-1.25,
-0.5,
-0.5,
-1,
-0.75,
-1,
-0.5,
-1.5,
-0.25,
0.5,
-1.5,
2,
1.75,
0.25,
-1.5,
1.75,
-2.5,
-0.25,
1.25
] | 0.974505 | [
0.016082605702940997,
-0.4005639676501336,
0.06105957810008841,
-0.18096829108927506,
0.016390443440520798,
0.10636216783346156,
-0.044571672899956664,
0.0716701350019847,
-0.952516290200466,
-0.03138016834071826,
0.04220793857482536,
1.58946095329701,
-0.01611460038973656,
-0.042928925775... | {
"n_parameters": 58,
"n_qubits": 12,
"optimal_eigenvalue": -22.25,
"target_ratio": 0.97,
"target_value": -21.5825
} | 39 |
9994d9c0864e8ab88d6d9169e088b46e | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, ... | {"states": [19, 76], "expectation_value": -0.16130488785478325, "params": [[0.07640000000000001], [-0.0659]], "bitstrings": ["1101100", "0110011"], "total_optimization_steps": 10, "probabilities": [0.008700199149708125, 0.00886120051845167], "optimization_time": 1.332620620727539} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + 0.0 * Z(5) + -1.0 * Z(4) + -0.5 * Z(6) + 0.0 * Z(3) | 1 | 7 | 1 | {"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": ["1100101", "1011100", "1110001", "1010101", "1101100", "0110011"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.11596378006153223) q[0];
rz(0.284417285133328) q[0];
rx(0.9079841915554171) q[1];
rz(0.024714267906631924) q[1];
rx(0.7975047609449103) q[2];
rz(0.10494849557346886) q[2];
rx(0.9341338115562028) q[3];
rz(-0.00661968580596823) q[3];
rx(0.9079841915554171) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IZIIIIZ",
"IIZIIZI",
"IIZIZII",
"ZIZIIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIZIIII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
0,
-1,
-0.5,
0
] | 0.984616 | [
-0.11596378006153223,
0.3017390316030879,
0.9079841915554171,
0.024714267906631924,
0.7975047609449103,
0.10494849557346886,
0.9341338115562028,
-0.00661968580596823,
0.06657420471963857,
-0.0771816746141428,
0.4297982157077295,
0.6553221677779906,
0.11368518825262512,
-0.01430271979699142... | {
"n_parameters": 91,
"n_qubits": 8,
"optimal_eigenvalue": -65.5,
"target_ratio": 0.97,
"target_value": -63.535
} | 12 |
be98abf16f233411f1a7350078e6bb3a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [105, 113], "expectation_value": -3.999105011962873, "params": null, "bitstrings": ["0010110", "0001110"], "total_optimization_steps": 34, "probabilities": [0.06552852227118001, 0.9338466720002203], "optimization_time": 25.395774364471436} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * Z(4) + -0.5 * Z(0) + -0.5 * Z(5) + -0.5 * Z(1) + -0.5 * Z(3) + 0.0 * Z(2) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["0010110", "0001110"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-2.8866218236344316) q[0];
rz(-pi) q[0];
h q[1];
ry(1.2356297707224817) q[1];
h q[2];
h q[3];
ry(-0.5530370544994598) q[3];
cx q[2], q[3];
ry(0.5530370544994598) q[3];
cx q[2], q[3];
ry(1.1054456705057107) q[2];
ry(-0.7636676340418977) q[3];
h q[4];
ry(-1.59776952939... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIZIIIZ",
"IZIIIIZ",
"IIZIIZI",
"IZIIIZI",
"IIZZIII",
"IIIZZII",
"ZIZIIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIZIII",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-0.5,
-0.5,
0,
0
] | 0.992448 | [
-1.5977695293907963,
-1.459849889172577,
1.4580013182065084,
1.2356297707224817,
-1.1060741089989197,
0.8468506728280528,
-0.05234077953846768,
-0.43732788831406605,
0.5171899953553162,
-0.6526794914556634,
0.0810737453704696,
-0.19532620689083113,
0.1603914522341073,
0.23253106854741273,
... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
06224520ded029e940b1fde3f5ab3e3b | kclique | vqe | {"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": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 3}, {"source": 3, "target": 5}]} | {"states": [6, 7], "expectation_value": -0.8043963719152916, "params": [[[0.5656, 0.2318], [0.6419, -0.12050000000000001], [0.6557000000000001, 0.1076], [0.8672000000000001, -0.002], [0.9573, 0.001], [0.8535, -0.0013000000000000002]], [[0.5685, 0.006900000000000001], [0.6469, 0.005], [0.6608, 0.0064], [0.8645, 0.0061],... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (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)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 * ... | 1 | 6 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.4604609545342588) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(0.4604609545342588) q[1];
cx q[0], q[1];
rz(-0.5961919399360327) q[0];
rx(-0.8240718412880712) q[0];
cx q[3], q[2];
rz(0.4604609545342588) q[2];
cx q[3], q[2];
h... | OPENQASM 3.0;
include "stdgates.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,
2,
2,
2,
2,
2,
1.75,
2,
1.75,
2,
2,
1.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.5,
-0.5
] | 0.720304 | [
0.4604609545342588,
-1.0130158982300328,
-0.5961919399360321,
0.10159268481627397,
-0.8240718412880712,
1.653056793347183,
-2.4998589588665014,
-1.3174178256009759,
-0.48477462442147073
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 246 |
ea4e0759936a839eade2a9fd100fb8a2 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 3}, {"sour... | {"states": [52, 53], "expectation_value": -4.961264897159742, "params": [0.0806, 0.07930000000000001, 0.1506, 0.15510000000000002, 0.3078, 0.3159, 0.4002, 0.40740000000000004, 0.40790000000000004, 0.4, -0.016800000000000002, -0.016300000000000002, 0.4062, 0.4076, -0.0073, -0.0002, 0.4033, 0.3957, 0.0801, 0.081200000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) ... | 13 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["110001011", "111001010", "011001011"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.835184307299284) q[0];
ry(0.20200462894886634) q[1];
ry(0.24138776836029677) q[2];
ry(0.597262171222618) q[3];
ry(0.5011391201324713) q[4];
ry(-0.07617661987009314) q[5];
ry(0.7107034792658222) q[6];
ry(-0.05837113125734539) q[7];
ry(0.466547897271642) q[8];
cz q[8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IZIIIIZII",
"IZIIIIIIZ",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIIIZIZI",
"IIIZZIIII",
"IIIIZIIZI",
"IIZZIIIII",
"IZZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-2.5,
-1.5,
-1,
-1,
-0.5,
-0.5,
-0.5
] | 0.973806 | [
0.835184307299284,
0.20200462894886634,
0.24138776836029677,
0.597262171222618,
0.5011391201324713,
-0.07617661987009314,
0.7107034792658222,
-0.05837113125734539,
0.466547897271642,
0.5100233826020537,
-0.20267362486832402,
-0.17443599129581094,
1.3609322799257177,
0.9770549590725968,
0... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 10 |
69144809aea48cb46eae9c3950f24a15 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [59773, 55230], "expectation_value": -4.5703648832358645, "params": [[-0.0575, -0.0436], [0.0616, 0.06420000000000001]], "bitstrings": ["0001011010000010", "0010100001000001"], "total_optimization_steps": 10, "probabilities": [3.408956986118598e-05, 3.4310193829748626e-05], "optimization_time": 24.9731814861... | 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(7)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(... | 1 | 16 | 2 | {"smallest_eigenvalues": [-20.499999999999844], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.499999999999787, "smallest_bitstrings": ["0010100001000001"], "largest_eigenvalue": 69.50000000000016} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.12397642308111168) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.12397642308111168) q[0];
cx q[1], q[0];
rz(-1.0412824378997723) q[0];
rx(-0.6835570607299903) q[0];
rz(0.6551677416149957) q[1];
rx(-0.6835570607299903) q[1];
rz(-1.0... | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 3}, {"id": 1}, {"id": 0}, {"id": 2}], "edges": [{"source": 3, "target": 0}, {"source": 1, "target": 0}, {"source": 1, "target": 2}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIZIIIZIII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIIIZIIZI",
"IIIIIIIIIIIZZIII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIZIIZIIII",
"IIIIIIIIIIZZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,... | 0.983631 | [
0.12397642308111168,
-1.0412824378997723,
0.6551677416149958,
-0.6835570607299902,
0.023146836072959226,
-0.5048269617904716,
0.6814886991250588,
-0.7325852103426811,
0.006386053532258323,
-0.47655542685563346,
0.11597712833781966,
-0.2813397718212035
] | {
"n_parameters": 12,
"n_qubits": 3,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
b679ae34e8a07362440686ccdc7f1ca9 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [975, 1023], "expectation_value": -1.4864279208610862, "params": [[0.07], [-0.0752]], "bitstrings": ["0000110000", "0000000000"], "total_optimization_steps": 10, "probabilities": [0.0016424977286985498, 0.001709264572134965], "optimization_time": 4.647838115692139} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + -2.5 * (Z(6) @ Z(9)) + -2.5 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(6)) + -2.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["0000000000"], "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(-0.7142492903032894) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.7142492903032894) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-1.1019388860345172) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.7142492903032894) q[3];
cx q[1], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIZZIIII",
"ZIIZIIIIII",
"ZIZIIIIIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"ZIIIIIIIII"... | [
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-1,
-2.5,
-2.5,
0.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
1,
1,
1
] | 0.536931 | [
-0.7142492903032894,
-1.1019388860345172,
-0.22838961416475642,
-1.7563064456047723,
-0.7632781998710532,
0.01343118748802463,
-0.9029463710050617
] | {
"n_parameters": 7,
"n_qubits": 10,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 196 |
15665b6f17e50a473c9dc7122f285f9f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"sour... | {"states": [0, 331], "expectation_value": -4.268924672468682, "params": [0.6048, 0.0036000000000000003, 0.5976, 0.0024000000000000002, 0.2462, 0.0015, 0.1394, 0.0017000000000000001, 0.6017, 0.0027, 0.603, 0.0064, 0.6106, 0.0047, 0.6003000000000001, 0.0081, 0.6017, -0.0023, 0.5952000000000001, 0.0053, 0.6009, -0.0035, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -2.5 * Z(1) + -0.5 * Z(0) + -0.5 *... | 6 | 9 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.0, "smallest_bitstrings": ["110100100", "010110100", "010011100", "110001100"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.6874980782322303) q[0];
rz(pi/2) q[0];
ry(0.2813574305717622) q[1];
ry(1.1203142972738096) q[2];
ry(0.023945603259647542) q[3];
ry(-0.11715996751780018) q[4];
ry(0.6692310273444304) q[5];
ry(0.31320392123582336) q[6];
ry(0.7674454090980876) q[7];
ry(0.7293521063799... | OPENQASM 3.0;
include "stdgates.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",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIIZIZI",
"IIZIIIIZI",
"IIZIIZIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIZIIIIII",
"IIZIIIZII",
"IIIZIZIII",
"IIZZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-0.5,
-0.5,
-1,
-2.5,
-0.5,
-0.5,
0,
-0.5
] | 0.970205 | [
0.6874980782322303,
0.2813574305717622,
1.1203142972738096,
0.023945603259647542,
-0.11715996751780018,
0.6692310273444304,
0.31320392123582336,
0.7674454090980876,
0.7293521063799253,
0.1662331981836463,
0.47831152993822657,
-0.06466357204878079,
0.27091911543521935,
0.14207368048237892,
... | {
"n_parameters": 69,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 14 |
96ad00ceee3f9c4e7577fb22d2b67779 | 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": 16, "source": 1, "target": 6}, {"weight": 11, "source": 1, "target": 5}, {"weight": 6, "source": 2, "targ... | {"states": [250, 218], "expectation_value": -28.75243868270168, "params": [[-0.0396, -0.0108, 0.010100000000000001, 0.0091], [0.0635, 0.060500000000000005, 0.056100000000000004, 0.0584]], "bitstrings": ["100000101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.011637042384510568, 0.0176542529510017... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 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(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 17.0 * Z(2) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 146.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.08791191676338868) q[0];
ry(-0.33754507559349983) q[1];
rz(-pi) q[1];
h q[2];
ry(-23.54483630508895) q[2];
h q[3];
ry(14.060833410252924) q[3];
rz(-pi) q[4];
ry(-0.9826654190681591) q[4];
rz(-pi) q[5];
ry(-0.3059806607972074) q[5];
cx q[2], q[5];
ry(-4.691... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIZIIZII",
"IIIZZIIII",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIZIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
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,
0.5,
14.5,
12,
3,
14.5,
5,
11.5,
5
] | 0.970321 | [
-23.54483630508895,
-1.7344826067047194,
49.980197664918016,
9.383386224212316,
-6.271914019307241,
10.912726493420333,
29.956408283445157,
23.264278099504317,
38.151645845580276,
34.638908360457215,
0.779602309158077,
14.060833410252924,
33.81330841654803,
0.2555633208025561,
-0.0449921... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -83,
"target_ratio": 0.97,
"target_value": -80.50999999999999
} | 104 |
26def67ce5f93d788ddd1b023c589a8e | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [107, 43], "expectation_value": -3.202486460707081, "params": [0.0241, 0.0006000000000000001, 0.38280000000000003, 0.35800000000000004, 0.7749, 0.7652, 0.0053, 0.0002, 0.5863, 0.5814, 0.0033, -0.0035, 0.7768, 0.7723, 0.7415, 0.7522000000000001, -0.006, 0.0155, 0.32270000000000004, 0.31570000000000004, 0.783,... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(2) @ Z(6)) + 0.5 * (Z(0) @ Z(7)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(7) @ Z(1)) + 0.12... | 14 | 8 | 2 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.625, "smallest_bitstrings": ["01010101", "10010110", "11010100", "10010101", "10011100"], "largest_eigenvalue": 6.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.5198353490920349) q[0];
h q[1];
ry(-0.5373675606482673) q[1];
ry(-0.026080464012186052) q[2];
rz(-pi) q[2];
h q[3];
cx q[3], q[0];
ry(0.5198353490920349) q[0];
cx q[3], q[0];
ry(-0.6429953445516599) q[0];
ry(0.8754484998400236) q[3];
h q[4];
ry(1.483928809... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIIZZZII",
"IIZIIZII",
"IZIIIZII",
"IZZIIIII",
"IZZIIZII",
"ZIIIIIIZ",
"IIIZIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IZIZIIII",
"ZIIZIIII",
"ZZIIIIII",
"IZIZIIZI",
"ZIIZIIZI",
"ZZIIIIZI",
"ZZIZIIII",
"ZZIZIIZI",
"IIIIIIIZ",
"IIIIIIZ... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.5,
-0.125,
0,
-0.75,
0.125,
-0.75,
0.125,
-0.125
] | 0.992396 | [
-1.5586098848344783,
-1.4769122720150283,
1.4839288099841128,
-1.0747351212965346,
-1.0396706981840698,
0.8036404554279265,
0.5183762627735643,
-0.5010407178657793,
0.32870940514799957,
-0.4274496687052022,
0.7141444741329186,
-0.43109135169291524,
-0.12574049852301072,
0.23483456373399728... | {
"n_parameters": 26,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
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": 66.80463790893555} | -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 | 3 | {"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 |
336dab1a0f29cbb797a483d443b63b25 | 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": 6}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 4, "target": 5}, ... | {"states": [0, 69], "expectation_value": -3.1317676852774716, "params": [0.3024, -0.0008, 0.3048, -0.0011, 0.13820000000000002, -0.008, 0.1274, -0.0083, -0.0006000000000000001, 0.16110000000000002, -0.0028, 0.1652, -0.0041, 0.19590000000000002, 0.0016, 0.2404, 0.30460000000000004, 0.0011, 0.3043, 0.0016, 0.0, 0.2219000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(2) @ Z(4)) + -0.25 * (Z(0) @ Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(4)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(5) @ Z(3) @ Z(4)) + -0.125 * (Z(3) @ Z(6) ... | 6 | 7 | 3 | {"smallest_eigenvalues": [-3.875], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.875, "smallest_bitstrings": ["0111010"], "largest_eigenvalue": 6.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.6473969236370147) q[0];
rz(0.35215528043695477) q[0];
rx(-0.013008556206086708) q[1];
rz(0.19332891221718235) q[1];
cx q[1], q[0];
rz(-0.1531385207380293) q[0];
cx q[1], q[0];
rx(1.4495710349674074) q[0];
rz(0.07118326740233222) q[0];
rx(0.11925075285288905) q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIIZ",
"IIZIZII",
"IIZIZIZ",
"IIZZIII",
"IZIZIII",
"ZIIZIII",
"IZZIIII",
"ZIZIIII",
"ZZIIIII",
"IZZZIII",
"ZIZZIII",
"ZZIZIII",
"ZZZIIII",
"ZZZZIII",
"ZIIIIZI",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
-0.25,
-0.5,
-0.75,
-0.625,
0.125,
-0.625,
-0.125
] | 0.979379 | [
1.6473969236370147,
0.19901675969892568,
-0.013008556206086708,
0.19332891221718235,
0.36220551318406324,
0.3524502787744437,
0.05250514135166462,
-0.7512975575418178,
1.589520017552449,
0.030318796956053686,
0.23214023497988873,
-0.12974989725462044,
1.3485093281983127,
0.2263981211125346... | {
"n_parameters": 30,
"n_qubits": 7,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 15 |
b92c16178f977d94a04901a5809941e1 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 3, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -22.88437177680046, "params": [-0.0026000000000000003, 0.1898, -0.0015, 0.21730000000000002, -0.0081, 0.13820000000000002, -0.001, 0.1816, 0.30310000000000004, -0.00030000000000000003, 0.3005, -0.0004, 0.0089, 0.1338, -0.0071, 0.2247, -0.008, 0.1726, -0.0056, 0.1768, -0.0789, 0... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(8) @ Z(0)) + -0.75 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(8)) + 4.0 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(9)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(10) @ Z(1)) + -0.75 * (Z(10) @ Z(2)) + -1.5 * (Z(10) @ Z(6)) + -2.0 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(10)) + -2.25 * (Z(7) @... | 6 | 11 | 3 | {"smallest_eigenvalues": [-27.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.75, "smallest_bitstrings": ["11011111111"], "largest_eigenvalue": 25.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.3275198513596131) q[0];
rz(1.8166598013192008) q[0];
rx(-0.06429994971731434) q[1];
rz(1.7222673694459125) q[1];
rx(0.8135767518249047) q[2];
rz(1.6135704463913) q[2];
rx(-0.031199877835869107) q[3];
rz(1.7254602191006292) q[3];
rx(0.0068836676576478064) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIZIIIIIIIZ",
"IZIIIIIIIIZ",
"IZZIIIIIIII",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IZIIIIIZIII",
"IIIIZIIIIZI",
"ZIIIIIIIIZI",
"ZIIIIIIIZII",
"ZIIIZIIIIII",
"IIIIIZIZIII",
"ZIIIIZIIIII",
"IIZZIIIIIII",
"IIIZZIIIIII",
"IZIIIIZIIII",
"IIIZIIZIIII",
"IIIIIIIIIZI",
"IIIIIIIII... | [
-1.5,
-1.5,
-0.75,
-1,
4,
-1.5,
-0.5,
-1,
-0.5,
-0.75,
-1.5,
-2,
-0.75,
-2.25,
-1.5,
-0.5,
-1.25,
-0.5,
-0.25,
-2.25,
0.25,
3.25,
0.5,
1.5,
-1.5,
1.25,
-0.5,
-1.75
] | 0.973345 | [
-0.3275198513596131,
0.24586347452430266,
-0.06429994971731434,
0.15147104265101693,
0.8135767518249047,
0.042774119596403676,
-0.031199877835869107,
0.15466389230573124,
0.006883667657647807,
0.3842708451905318,
0.33659331499359174,
0.28281537468596357,
-0.1679198272155051,
-0.04223494243... | {
"n_parameters": 106,
"n_qubits": 11,
"optimal_eigenvalue": -27.75,
"target_ratio": 0.97,
"target_value": -26.9175
} | 9 |
b993a5a7e57c18bd4205eb03339dcbdb | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [355, 487], "expectation_value": -9.997698225338024, "params": null, "bitstrings": ["111010011100", "111000011000"], "total_optimization_steps": 100, "probabilities": [0.23962467434214155, 0.7582847298238203], "optimization_time": 337.48297333717346} | 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(4) @ Z(9)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(3)) + -0.5 * (Z(10) @ Z(4)) + 0.5 * (Z(11) @ Z(9)) + 0... | 1 | 12 | 2 | {"smallest_eigenvalues": [-9.999999999999998, -9.999999999999998], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.666666666666666, "smallest_bitstrings": ["111010011100", "111000011000"], "largest_eigenvalue": 29.666666666666664} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(-0.7539683417504123) q[0];
h q[1];
ry(-0.7849190935755255) q[1];
ry(-0.5117930615902674) q[2];
rz(-pi) q[2];
h q[3];
ry(0.8027330867228042) q[3];
h q[4];
h q[5];
ry(0.6610369723445622) q[5];
h q[6];
ry(1.6427196587087884) q[6];
cx q[6], q[3];
ry(-0.802733086... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.5708) q[11];\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];... | [
"IIZIIIZIIIII",
"IIZIIZIIIIII",
"IIIIIZZIIIII",
"IIZIIIIIZIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIZIIIIZIIII",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIIIZZIII",
"IZZIIIIIIIII",
"IZIIIIIIZIII",
"IZIIIIIZIIII",
"ZIZIIIIIIIII",
"ZIIIIIIIZIII",
"ZIIIIIIZIIII",
"ZZIIIIIIIIII",
"IIIIIIZII... | [
0.5,
0.5,
1,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
1,
-0.5,
-0.5,
-0.5,
-0.5,
0.33333333333333337,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
1.5,
1.5,
1.5,
1,
-1.5,
2.5,
2.5,
-1.333333333333333,
-1.... | 0.994326 | [
1.6427196587087884,
-1.569838187151051,
1.428071510041552,
1.6054661734456084,
-1.5079366835008245,
-1.479467181204076,
1.0509882011382135,
1.3220739446891243,
-1.3407671105792736,
-0.8743627779952217,
-0.15137910993803103,
-0.36928097441881536,
-0.04643846630258572,
0.18962590822056274,
... | {
"n_parameters": 36,
"n_qubits": 12,
"optimal_eigenvalue": -9.999999999999998,
"target_ratio": 0.97,
"target_value": -9.699999999999998
} | 1 |
8251796805923722861 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 3], [0, 4], [1, 2, 4], [1, 5], [4, 5], [2, 3, 4]]} | {"states": [41, 22], "expectation_value": -0.05103989787374018, "params": [[-0.0635], [0.0745]], "bitstrings": ["010110", "101001"], "total_optimization_steps": 10, "probabilities": [0.01675985472944834, 0.016862377826501202], "optimization_time": 1.4908115863800049} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.1666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8333333333333335, "smallest_bitstrings": ["101001"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.05420061771948158) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-0.395886710687716) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.05420061771948158) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(-0.395886710687716) q[4];
cx q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x1) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(x0) q[3]... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IZZIII",
"IIIZZI",
"IZIIZI",
"ZZIIII",
"ZIIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.4999999999999999,
0.16666666666666663,
0.3333333333333333,
0.33333333333333326,
0.16666666666666663,
0
] | 0.574585 | [
0.05420061771948158,
-0.395886710687716,
-0.9394138226738091,
0.0982256326604548,
0.8336212333843911
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -2.1666666666666665,
"target_ratio": 0.97,
"target_value": -2.1016666666666666
} | 124 |
540e4dc6cd5ba125f618f28f48205cbe | 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": 2, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 3}, {"weight": 18, "source": 0, "target": 4}, {"weight": 13, "source": 1, "tar... | {"states": [245, 244], "expectation_value": -35.278491978510836, "params": [[-0.0351, -0.0054, 0.0039000000000000003, 0.0011], [0.0752, 0.07100000000000001, 0.0629, 0.0545]], "bitstrings": ["100001010", "100001011"], "total_optimization_steps": 10, "probabilities": [0.014172915721077164, 0.018940514235366378], "optimiz... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-90.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["100001011"], "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(0.027358022598444096) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.027358022598444096) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.027358022598444096) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.027358022598444096) 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[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIZIIIZI",
"IIZIIIZII",
"IIZIIZIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIIIZIII",
"IZZIIIIII",
"ZIIIZIIII",
"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,
11,
10,
22.5,
12,
20,
0.5,
18.5,
5,
0.5
] | 0.970087 | [
0.027358022598444096,
-0.4503917049630143,
1.0157258650303829,
-1.1759847829526469,
-1.474408903266772,
-1.7126031515720757,
0.9015076408836524,
-1.1963827420035533,
0.486132884786999,
0.7308189328179706,
-0.0525669333670543,
-1.0515114137203625,
0.17841515765600538,
-0.767218394376632,
... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -90.5,
"target_ratio": 0.97,
"target_value": -87.785
} | 39 |
347cd23786ada5a7ec96f3799dd0d8dc | 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": 1, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 2}, {"weight": 19, "source": 1, "target": 5}, {"weight": 12, "source": 1, "target": 4}, {... | {"states": [171, 117], "expectation_value": -21.003525534788952, "params": null, "bitstrings": ["01010100", "10001010"], "total_optimization_steps": 100, "probabilities": [0.09235583992557893, 0.1219335732334597], "optimization_time": 174.33842754364014} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 5.5 * Z(1) + 4.5 * Z(0) + 18.0 * Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "smallest_bitstrings": ["10001010"], "largest_eigenvalue": 135.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.7996058083707251) q[0];
rz(-0.13258950846490603) q[0];
rx(-0.04589737538281516) q[1];
rz(0.1799801397254761) q[1];
rx(0.16186570142550433) q[2];
rz(0.3133290356743821) q[2];
rx(0.8227815263736653) q[3];
rz(0.05776948433549922) q[3];
rx(0.7161871771895253) q[4];
rz(... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(0.5995) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5.5,
4.5,
18,
13.5,
2.5,
16.5,
9,
13.5
] | 0.971014 | [
0.7996058083707254,
0.006182936667641672,
-0.04589737538281516,
0.22768974747763632,
0.16186570142550433,
0.396073894945569,
0.8227815263736652,
0.013998181878018726,
0.7161871771895254,
0.15083729154297,
0.03143464359904234,
0.3059757219065661,
0.640600425668681,
0.1741861116929011,
0.3... | {
"n_parameters": 79,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 8 |
3d1dde02abe951da208ed22501079cfd | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [133, 7], "expectation_value": -12.226348664640373, "params": [[0.0489, 0.0236], [-0.08900000000000001, -0.0823]], "bitstrings": ["01111010", "11111000"], "total_optimization_steps": 10, "probabilities": [0.010381576337406502, 0.011370654661078294], "optimization_time": 6.783490896224976} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 5 | 8 | 2 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(0.01916910831901575) q[0];
ry(0.040011321484877946) q[0];
rz(-0.3297910839494538) q[0];
rz(-0.6279459329093449) q[1];
ry(0.04144721688536006) q[1];
rz(1.3890117666592916) q[1];
rz(1.2678448526061201) q[2];
ry(0.3643402784305616) q[2];
rz(-2.253218816818194) 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] 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... | {"k": 5} | {"circuits": [], "gradients": []} | [
"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,
3,
3,
3,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
2.75,
-7,
-7,
-7,
-7,
-7.5,
-6.25,
-6.5,
-6.25
] | 0.973939 | [
-0.06665264922991992,
-0.536085762019275,
0.05219494770080912,
0.4134012993974177,
0.2394787235997971,
-0.7739367453951336,
0.4866368394148667,
-0.0401288681240079,
0.008567340947978966,
0.15545946273142092,
1.3726489496448595,
0.04126656472357189,
0.9034759098953484,
1.9977648676974686,
... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 17 |
d609fb0bdfb5a6750e8877837b4fffb7 | 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": 3}, {"source": 1, "target": 2},... | {"states": [60, 63], "expectation_value": -2.873974027936423, "params": [[0.0709], [-0.0789]], "bitstrings": ["11111000011", "11111000000"], "total_optimization_steps": 10, "probabilities": [0.001064637028515223, 0.0011105893302681925], "optimization_time": 1.325829029083252} | -3.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(2)) + -3.0 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + 1.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(8) @ Z(6)) + -1.5 * (Z(8) @ Z(5)) + -1.5 * (Z(7) @ Z(6)) + 0.... | 1 | 11 | 1 | {"smallest_eigenvalues": [-27.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.5, "smallest_bitstrings": ["11111000000"], "largest_eigenvalue": 28.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.004583864614903052) q[0];
rz(1.7175136929685433) q[0];
rx(-0.004583864614903054) q[1];
rz(1.381460329278152) q[1];
rx(0.12118927582963204) q[2];
rz(1.8164876442415103) q[2];
rx(-0.004583864614903053) q[3];
rz(1.802307302365584) q[3];
rx(-0.004583864614903054) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
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 ... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIZZII",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIZZIIIII",
"IIZIZIIIIII",
"IIZIIZIIIII",
"IIIZZIIIIII",
"IIIZIZIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZ... | [
-3,
-3,
-2.5,
-2.5,
1,
-3,
-3,
1,
1.5,
-2.5,
-2,
0.5,
-1.5,
-1.5,
0.5,
-1,
2,
-2,
-2.5,
1.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.977035 | [
-0.004583864614903053,
0.146717366173647,
-0.18933599751674432,
0.12118927582963203,
0.24569131744661427,
0.23151097557068825,
1.4662536076615433,
0.07509899722691311,
0.6947825257913777,
-0.34364627907048084,
0.208813907278197,
2.778376779409006,
0.926459243183926,
1.2829009848305921,
0... | {
"n_parameters": 29,
"n_qubits": 11,
"optimal_eigenvalue": -27.5,
"target_ratio": 0.97,
"target_value": -26.675
} | 9 |
0f435eed505f807fb8dc44643dfd43ce | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 2}, {"weight": 13, "source": 0, "target": 3}, {"weight": 17, "source": 1, "target": 2}, {"weight": 11, "source"... | {"states": [62, 61], "expectation_value": -21.225415172692433, "params": [[0.0205, 0.0158, -0.0114, 0.0082], [-0.0391, -0.0563, -0.0366, -0.0463]], "bitstrings": ["1000001", "1000010"], "total_optimization_steps": 10, "probabilities": [0.018776343423976986, 0.023557641698969543], "optimization_time": 6.527066230773926} | 3.0 * (Z(0) @ Z(1)) + 3.0 * (Z(2) @ Z(1)) + 3.0 * (Z(2) @ Z(0)) + 3.0 * (Z(3) @ Z(1)) + 3.0 * (Z(3) @ Z(0)) + 3.0 * (Z(4) @ Z(0)) + 3.0 * (Z(4) @ Z(2)) + 3.0 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-59.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["1000010"], "largest_eigenvalue": 134.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.366669122515066) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.366669122515066) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.366669122515066) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.366669122515066) q[3];
cx q[0], q[3];
h q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 5}"} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
19,
7.5,
12.5,
17.5,
11.5,
12,
9.5
] | 0.608376 | [
0.366669122515066,
0.6186240853904678,
-0.8045916182441789
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 106 |
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