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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
ee3d1657115ac7fe63817a76eff6e74f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 7}, {"source": 3, "ta... | {"states": [175, 167], "expectation_value": -2.591009371660061, "params": [[[-0.0023, 0.0058000000000000005], [1.9112, 0.0023], [-0.002, 0.0026000000000000003], [1.9019000000000001, 0.001], [0.6938000000000001, 0.0089], [1.4942, 0.0037], [1.9120000000000001, 0.0073], [1.9051, 0.0078000000000000005], [1.8958000000000002... | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(3) @ Z(7)) + 0.125 * (Z(5) @ Z(6)) + 0.125 * (Z(7) @ Z(5)) + 0.125 * (Z(7) @ Z(6)) + -0.125 * (Z(3) @ Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(7) @ Z(5)) + -0.125 * (Z(3) @ Z(7) @ Z(6)) + -0.125 * (Z(7) @ Z(5) @ Z(6)) + 0.12... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.625, -4.625], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.625, "smallest_bitstrings": ["101100001", "101011000"], "largest_eigenvalue": 7.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.011320181029350375) q[0];
cx q[1], q[0];
rz(1.6845218817811496) q[0];
rx(1.643152641776864) q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.011320181029350375) q[2];
cx q[3], q[2];
rz(1.694561325739155) q[2];
rx(1.6431526417768643) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIZZIII",
"IIIZIZIII",
"IIZIIZIII",
"IZIIIZIII",
"IIZZIIIII",
"IZIZIIIII",
"IZZIIIIII",
"IIZZIZIII",
"IZIZIZIII",
"IZZIIZIII",
"IZZZIIIII",
"IZZZIZIII",
"IIIZIIIZI",
"ZIIIIIIZI",
"ZIIZIIIII",
"ZIIZIIIZI",
"IIZIIIIIZ",
"IZIIZIIII",
"ZIIIZIIII",
"ZZIIIIIII",
"... | [
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,
0.25,
0.25,
0.25,
-0.25,
-1,
-0.25,
-1,
-0.125,
-0.25,
0.125,
-0.125,
0.125,
0
] | 0.979463 | [
-0.011320181029350375,
-1.538475421558327,
1.684521881781149,
-1.5682318728391689,
1.6945613257391543,
0.9835395433700487,
-1.623624962021536,
-1.7004061833926134,
1.5050717042233193,
1.6431526417768643
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -86,
"target_ratio": 0.97,
"target_value": -83.42
} | 54 |
b10e647670f759bc4f3dd1387515cbab | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [22, 50], "expectation_value": -0.020135649521889995, "params": [[-0.0302], [0.0223]], "bitstrings": ["101001", "001101"], "total_optimization_steps": 10, "probabilities": [0.015836376982713934, 0.015836376982713937], "optimization_time": 1.8782455921173096} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(1) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["001101", "101001"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(1.6059590783964175) q[1];
h q[2];
ry(-1.5435690642332873) q[2];
h q[3];
ry(-0.5332571362745683) q[3];
cx q[0], q[3];
ry(0.5332571362745683) q[3];
cx q[0], q[3];
ry(0.9119014324033945) q[0];
ry(-0.6753977872976624) q[3];
h q[4];
ry(1.6059590783964175) ... | 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[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(x0) q[3];
cx q[2], q[3];
cx q[0... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"ZIIZII",
"ZIIIZI",
"IZIZII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-1,
0,
-0.5
] | 0.993521 | [
-1.5435690642332873,
-1.3972417071881398,
1.6059590783964175,
-1.0665142725491366,
0.6111672878365482,
-0.1119226496394643,
-0.49139838766546845,
0.6014682891336927,
-0.3679987992643881,
0.33092884969918057,
-0.19658386032209535,
0.11017040147676396,
0.21045782912511068,
-0.041443516117334... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
b34692bbb393a9c8c39ee60500b791d0 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [15, 911], "expectation_value": -0.5932403025737827, "params": [[-0.0477], [0.059500000000000004]], "bitstrings": ["1111110000", "0001110000"], "total_optimization_steps": 10, "probabilities": [0.0012619873544329374, 0.0013033340722337992], "optimization_time": 0.6823174953460693} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + -1.5 * Z(4) + -1.5 * Z(3) + -1.5... | 1 | 10 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["0001110000"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.14847159244139713) q[0];
h q[1];
h q[2];
ry(0.3842236331599264) q[2];
cx q[1], q[2];
ry(-0.3842236331599264) q[2];
cx q[1], q[2];
cx q[2], q[0];
ry(-0.14847159244139713) q[0];
cx q[2], q[0];
ry(0.6138440197963709) q[0];
ry(1.0497478699509277) q[1];
ry(1.29... | 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[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[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(x0) q[1];
cx q[2]... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIIZIZIII",
"IZIZIIIIII",
"ZZIIIIIIII",
"ZIIZIIIIII",
"IZZIIIIIII",
"IIZZIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IZIIIIIIII",
"IIIZIIIIII",
"ZIIIIIIIII"... | [
-1.5,
-1.5,
0.5,
-2,
1,
-2,
-2,
0.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5
] | 0.974884 | [
-1.5706329373458272,
-1.9336742782695115,
0.42425666134069984,
1.5699674051281693,
1.5643069498179039,
0.29694318488279425,
0.09133326785552914,
0.7684472663198528,
0.5949657730699344,
1.2979251146349033,
-0.08074416243354732,
0.9095641937619864,
0.5687212357607836,
1.2276880395927419,
0... | {
"n_parameters": 45,
"n_qubits": 10,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 67 |
-8434411597830634536 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[10, 6], [2, 3], [3, 6], [2, 6], [0, 2], [2, 7], [3, 5], [1, 5], [8, 9], [9, 3], [0, 3], [2, 4], [1, 6]]} | {"states": [1053, 1085], "expectation_value": -0.34197536986003646, "params": [0.893, 0.054400000000000004, 0.8809, 0.0063, 0.7519, 0.17070000000000002, 0.6928000000000001, 0.0091, 0.7168, 0.1484, 0.6970000000000001, 0.0067, 0.7401, -0.1241, 0.7161000000000001, 0.007, 0.7229, 0.1734, 0.6927, 0.006500000000000001, 0.874... | 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(10) @ Z(4)) + 0.5 * (Z(9) @ Z(10)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(7) + 0.0 * Z(2) + 0.0 * ... | 5 | 11 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["01111000010", "10000111101"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.5034452717201057) q[0];
rz(-0.36834395197729153) q[0];
rx(-0.1087549098116026) q[1];
rz(0.8239477248092175) q[1];
rx(-0.0012366384219017338) q[2];
rz(-0.5380088275210291) q[2];
rx(-0.13272528855526625) q[3];
rz(-0.42054862315911734) q[3];
rx(0.0909320738176106) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIIZII",
"IIIZIIIZIII",
"IIIZIIZIIII",
"IIIIIIZZIII",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIZIIIIZIII",
"IIIIZIZIIII",
"IIIZIIIIIZI",
"IIIIZIIIIZI",
"ZIIIIIZIIII",
"ZZIIIIIIIII",
"IIIIIZIZIII",
"IIIZIIIIIII",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIIIIIIIZ",
"IIZIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.970659 | [
1.5034452717201057,
-0.3842949651128165,
-0.1087549098116026,
0.7990694482288013,
-0.001236638421901734,
-0.9249414027308566,
-0.13272528855526625,
-0.029030872673030395,
0.09093207381761059,
-0.41296563003939285,
0.9908891916122041,
-0.2452332598465082,
1.674595061892103,
0.09170329870940... | {
"n_parameters": 53,
"n_qubits": 11,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 102 |
58927404864b316a7a7c3805d96a54c5 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 8}, {"capacity": 6, "source": 1, "target": 3}, {"capacity": 5, "s... | {"states": [9, 25], "expectation_value": -15.765361127834638, "params": [0.0029000000000000002, 0.0044, 0.0024000000000000002, 0.006500000000000001, 0.0025, 0.0092, 0.0024000000000000002, 0.0099, 1.6355000000000002, 0.0081, 2.6706000000000003, 0.0083, 0.0027, 0.0089, 0.0026000000000000003, 0.0033, 3.0003, 0.0054, 0.006... | -1.0 * (Z(0) @ Z(3)) + 1.25 * (Z(8) @ Z(0)) + -1.5 * (Z(1) @ Z(3)) + -2.75 * (Z(2) @ Z(3)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(8)) + -1.25 * (Z(4) @ Z(7)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-16.75, -16.75, -16.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -15.75, "smallest_bitstrings": ["111100110", "111100010", "101100010"], "largest_eigenvalue": 19.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.08852221454871459) q[0];
rz(1.4850305891108242) q[0];
rx(-0.022460498049271173) q[1];
rz(-1.2119263256872301) q[1];
rx(0.0036018593934876234) q[2];
rz(0.6680531664906) q[2];
rx(0.003601859393487624) q[3];
rz(1.1010038153947903) q[3];
rx(1.1101477110823375) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"ZIIIIIIIZ",
"IIIIIZIZI",
"IIIIIZZII",
"IZIIIZIII",
"ZIIIZIIII",
"IZIIZIIII",
"IIZIIIIZI",
"IIZIZIIII",
"IIIZIIIZI",
"IIIZIIZII",
"IZIZIIIII",
"IIIZZIIII",
"IIZZIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IZIIIIIII",
"IIIIZIIII",
"... | [
-1,
1.25,
-1.5,
-2.75,
-0.25,
-0.5,
-1.25,
-1.5,
-0.75,
-0.5,
-0.75,
-1,
-0.25,
-1,
-2,
-0.25,
0.75,
-0.5,
-1,
-2.5,
2.25,
-0.25,
3.5
] | 0.972394 | [
-0.0885222145487146,
1.0881884443741296,
-0.022460498049271173,
-0.7092743797278183,
0.0036018593934876234,
1.2418359084736181,
1.1036348045591202,
1.1101477110823375,
0.06106459732284491,
1.3559333559132691,
0.05674914092623268,
0.16301984510572173,
0.7644558023851116,
-0.2009512409085926... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -16.75,
"target_ratio": 0.97,
"target_value": -16.2475
} | 5 |
62ca4fdc3f835f51dee1780376d2bf19 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 2}, {"weight": 11, "source": 0, "target": 5}, {"weight": 1... | {"states": [214, 122], "expectation_value": -14.89781157029369, "params": [[-0.0028, 0.013900000000000001, 0.0238, 0.0053], [-0.0039000000000000003, -0.0221, -0.042, -0.043000000000000003]], "bitstrings": ["00101001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.00812313853995268, 0.0094003210940593... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 155.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.03311259666018414) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-0.03311259666018414) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(-0.03311259666018414) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(-0.033... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
22.5,
9.5,
12.5,
12.5,
16,
11,
14.5,
0.5
] | 0.970979 | [
-0.03311259666018414,
-0.926740016131006,
1.1332781721574576,
-0.6828999435483087,
0.048848077717694956,
-0.6892557923561745,
-0.9341746867604942,
-1.0526159075651214,
1.562787464657171,
-0.6479653873188044,
-0.7809022078920977,
-0.48800858196832586,
-0.05786698635618916,
-3.23403462105192... | {
"n_parameters": 16,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 139 |
8e81033b0eea1a78c9dc239f0b77952c | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target":... | {"states": [504, 509], "expectation_value": -0.6995257725203077, "params": [[0.078], [-0.0775]], "bitstrings": ["000000111", "000000010"], "total_optimization_steps": 10, "probabilities": [0.00281119228987836, 0.002872120537320939], "optimization_time": 3.1770901679992676} | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 1.0 * Z(8) + -1.5 * Z(6) + -1.0 * Z(7) | 1 | 9 | 1 | {"smallest_eigenvalues": [-10.5, -10.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.5, "smallest_bitstrings": ["000000010", "000000111"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.5423418709660177) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.18530401553125106) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-1.2135931368504769) q[2];
cx q[0], q[2];
rz(-0.18530401553125087) q[2];
rx(-0.8881911429293922) q[2];
h q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x1) q[2... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIZZIIII",
"ZIZIIIIII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"ZIIIIIIII",
"IIZIIIIII",
"IZIIIIIII"
] | [
-2,
0.5,
-1.5,
-1.5,
0.5,
-1,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
-1
] | 0.577871 | [
-0.5423418709660177,
-0.18530401553125106,
-1.2135931368504769,
-1.6859235764504825,
-0.6835576324712654,
-0.8881911429293923
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 170 |
4788755b9046cb997ec5043a21f8c9e6 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 13, "source": 0, "target": 4}, {"weight": 17, "source": 1, "tar... | {"states": [366, 236], "expectation_value": -37.89171134271568, "params": null, "bitstrings": ["010010001", "100010011"], "total_optimization_steps": 100, "probabilities": [0.06937887547688923, 0.21790465421583316], "optimization_time": 174.7973132133484} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-98.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.0, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 192.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.03403160597780367) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.03403160597780367) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.03403160597780367) q[1];
cx q[0], q[1];
h q[3];
cx q[0], q[3];
rz(-0.03403160597780367) q[3];
cx q[0], ... | null | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-9.1684) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZZIIIII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10,
5,
24.5,
22,
23,
5,
20.5,
9.5,
-4
] | 0.973244 | [
-0.03403160597780367,
-1.346127074484193,
1.576569062334897,
-1.9306515494972587,
-1.6352730170387917,
-1.6057071926812976,
-1.665909739693592,
1.224431153956964,
1.726462556839075,
1.4983459587508987
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -98,
"target_ratio": 0.97,
"target_value": -95.06
} | 40 |
5599bf10ca71927ac876cacb8b12fa55 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [84, 22], "expectation_value": -6.499899780513089, "params": null, "bitstrings": ["0101011", "1101001"], "total_optimization_steps": 32, "probabilities": [1.71240040087968e-05, 0.99994995827528], "optimization_time": 31.042637825012207} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(1) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["1101001", "0111010"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.07415269114269459) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.07415269114269459) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.07415269114269459) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.07415269114269459) q[3];
cx q[0], q[3]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIZIII",
"IIZIIZI",
"IIZZIII",
"ZIIIIZI",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-1,
-2.5,
-1.5,
-0.5,
-1.5
] | 0.864887 | [
0.07415269114269459,
-1.68604805643772,
-1.8099461218403394,
1.443016048934571,
-1.494512272491701,
1.4645976572003123,
1.0927469485153785,
-0.47320607514433677,
-0.9787306474297965,
-0.2023439996070792,
-0.827568241380443,
-1.2321072303008926,
-0.5239782363821548,
-2.223436606296981,
0.... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 500 |
03fc078c7a20f2a5bd889c5ded444a79 | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [1711, 1709], "expectation_value": -1.4985942381955424, "params": [1.1032, 1.1003, 1.0999, 1.1002, 0.48800000000000004, 0.48400000000000004, 1.0964, 1.0916000000000001, 0.6604, 0.6527000000000001, 1.1025, 1.0945, -0.006200000000000001, -0.007200000000000001, 1.0991, 1.1033, 1.1022, 1.108, 0.739, 0.7445, 1.09... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 13 | 11 | 1 | {"smallest_eigenvalues": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -2.4375, "small... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.7458612117327079) q[0];
ry(0.6495750082382797) q[1];
ry(0.19849836886601657) q[2];
ry(0.7945544215585383) q[3];
ry(0.45445253961516574) q[4];
ry(1.042695318827609) q[5];
ry(-0.13518844262444016) q[6];
ry(-0.03976612507910332) q[7];
ry(-0.10753231524194705) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIIIZZIIZ",
"IIIIIZIZIIZ",
"IIIIIZZIIIZ",
"IIIIIZZZIII",
"IIIIIZZZIIZ",
"IIIZZIIIIII",
"IIZIZIIIIII",
"IIIIIIIZIZI",
"IIIZIIIII... | [
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,
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
... | 0.972174 | [
0.7458612117327079,
0.6495750082382797,
0.19849836886601657,
0.7945544215585383,
0.45445253961516574,
1.042695318827609,
-0.13518844262444016,
-0.03976612507910332,
-0.10753231524194705,
0.5546264892243202,
0.6490274125333221,
-0.04158803016067646,
0.017186750120609447,
0.0983259434559137,... | {
"n_parameters": 88,
"n_qubits": 11,
"optimal_eigenvalue": -3.4375,
"target_ratio": 0.97,
"target_value": -3.334375
} | 79 |
d32bae70887cbda0fd64e6ae105154d4 | 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": 7, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 18, "source": 1, "target": 3}, {"weight": 8, "source": 2, "targ... | {"states": [221, 220], "expectation_value": -21.09678065679691, "params": [[-0.022600000000000002, -0.0047], [0.0516, 0.0653]], "bitstrings": ["100100010", "100100011"], "total_optimization_steps": 10, "probabilities": [0.0044017585278853895, 0.005414091693467197], "optimization_time": 3.769456624984741} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-91.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.0, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 189.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.1621346981994899) q[0];
rz(1.219855244128853) q[0];
rx(1.49996168361611) q[1];
rz(0.012973842691636614) q[1];
rx(1.8224941963463162) q[2];
rz(0.11473252339454168) q[2];
rx(0.35557846104245544) q[3];
rz(0.4777493280871876) q[3];
rx(1.7783067709589961) q[4];
rz(0.100... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIZIIIZII",
"IIZIIZIII",
"IIZIZIIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZZIIIII",
"IZIIZIIII",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
6.5,
3.5,
22.5,
13,
21,
23.5,
21.5,
1,
4.5
] | 0.975155 | [
0.1621346981994899,
0.8907909437276,
1.49996168361611,
0.012973842691636614,
1.8224941963463162,
0.11473252339454168,
0.35557846104245544,
0.4777493280871876,
1.7783067709589961,
0.10092441617979156,
1.4152144998462595,
-0.06409716579262772,
1.6293285773649606,
0.15823143802141262,
0.028... | {
"n_parameters": 53,
"n_qubits": 9,
"optimal_eigenvalue": -91,
"target_ratio": 0.97,
"target_value": -88.27
} | 13 |
06e0a2f639c9285c4548f03f994841c9 | 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": [125, 117], "expectation_value": -44.246928686736894, "params": [-0.0027, 1.065, 1.397, -0.013000000000000001, 1.3960000000000001, 0.24630000000000002, 1.3881000000000001, 0.5651, 0.8282, 0.6008, 1.3993, 0.38280000000000003, 0.226, 0.8348, 1.4000000000000001, 0.1537, -0.0024000000000000002, 0.0023, 1.3987, 0... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(7) @ Z(6)) + -3.5 * Z(0) + -0.5 * Z(1) + 8.5 * Z(2) + 8.0 * Z(3) + 11.0 * Z(4) + 12.0 * Z(5) + 0.5 * Z(6) + 8.0 * Z(7) | 18 | 8 | 2 | {"smallest_eigenvalues": [-54.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -48.0, "smallest_bitstrings": ["10001010"], "largest_eigenvalue": 104.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.09870782390896926) q[0];
rz(1.3611471078786082) q[0];
rx(1.491451655426108) q[1];
rz(-0.22208755461522575) q[1];
rx(1.467675936589025) q[2];
rz(0.18167623191392065) q[2];
rx(1.5813965820574787) q[3];
rz(0.5412081862368733) q[3];
rx(0.3744489284664566) q[4];
rz(0.9... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIZZIIII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
-3.5,
-0.5,
8.5,
8,
11,
12,
0.5,
8
] | 0.971297 | [
-0.09870782390896926,
1.1663861397918478,
1.491451655426108,
-0.22208755461522575,
1.467675936589025,
0.18167623191392065,
1.5813965820574787,
0.5412081862368733,
0.3744489284664566,
0.991036098871923,
1.6632380522549015,
0.337435008603153,
-0.10527900545982023,
1.1813948216123187,
1.423... | {
"n_parameters": 47,
"n_qubits": 8,
"optimal_eigenvalue": -54,
"target_ratio": 0.97,
"target_value": -52.379999999999995
} | 11 |
093ab0c9fe5feaef4b3d6216ac525ffc | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 6, "source": 0, "target": 5}, {"capac... | {"states": [0, 1], "expectation_value": -21.716270738421805, "params": [-0.0275, 0.0882, -0.0308, -0.023100000000000002, 0.0051, 0.1694, -0.0022, 0.227, 0.1041, 0.0625, 0.07150000000000001, 0.07150000000000001, -0.2019, -0.0086, -0.1733, -0.009300000000000001, 0.0008, 0.1928, -0.0048000000000000004, 0.233, -0.0046, 0.2... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -1.25 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(0)) + -1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(8) @ Z(1)) + -1.0 * (Z(8) @ Z(4)) + -0.75 * (Z(8) @ Z(5)) + -1.25 * (Z(8) @ Z(7)) + -0.5 * (Z(2) ... | 6 | 10 | 3 | {"smallest_eigenvalues": [-27.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.25, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 28.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.02473375847938896) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.1344512503508838) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.49108358005881314) q[4];
cx q[0], q[4];
h q[5];
cx q[1], q[5];
rz(0.03972576957472593) q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZIIZIIII",
"IZIIIIIIZI",
"IZIIIZIIII",
"IZIIZIIIII",
"IZZIIIIIII",
"IIIZIIIZII",
"IIZIIIIZII",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIIZIZIII",
"IIZIIIZIII",
"IZIIIIZIII"... | [
-0.75,
-0.5,
-0.25,
-1.25,
-1.5,
-1.5,
-0.25,
-0.5,
-0.25,
-0.25,
-1,
-0.75,
-1.25,
-0.5,
-0.25,
-0.5,
-1.25,
-1,
-0.75,
-0.75,
-0.25,
4.75,
-0.75,
0,
-0.25,
-3.25,
-3.25,
-1,
0.75,
-0.5,
-0.5,
4,
4
] | 0.575035 | [
0.02473375847938896,
0.1344512503508838,
0.49108358005881314,
0.03972576957472593,
0.04475206847400863,
0.23118974289428193,
-0.08401488029607704,
1.4466757245887947,
1.5291070792748531,
-0.703936040274623,
-1.5327565034304294,
1.4726043850071424
] | {
"n_parameters": 12,
"n_qubits": 10,
"optimal_eigenvalue": -27.25,
"target_ratio": 0.97,
"target_value": -26.4325
} | 275 |
c57625ce2de67c1086ad1c24582707c2 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [17, 1], "expectation_value": -0.15066821835389696, "params": [[-0.0775], [0.0752]], "bitstrings": ["101110", "111110"], "total_optimization_steps": 10, "probabilities": [0.017842852901456777, 0.018208338053457847], "optimization_time": 1.2334730625152588} | -0.75 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * Z(2) + -0.25 * Z(0) + 0.5 * Z(1) + -0.75 * Z(4) + 0.75 * Z(5) + 0.5 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.25, "smallest_bitstrings": ["111110", "101010", "111010", "101110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-pi) q[0];
ry(-0.04555174660829865) q[0];
h q[1];
rz(-pi) q[2];
ry(-0.04555174660829865) q[2];
h q[3];
h q[4];
ry(-0.7617454856021101) q[4];
h q[5];
ry(1.6259872692335873) q[5];
cx q[5], q[4];
ry(0.7617454856021101) q[4];
cx q[5], q[4];
ry(0.03538166069087447) 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;
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[1];
rz(x1) q[1];
c... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIIZZI",
"IZIZII",
"ZIIZII",
"ZIIIIZ",
"IZZIII",
"IIIZII",
"IIIIIZ",
"IIIIZI",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
-0.75,
-0.5,
-0.25,
-0.25,
1,
-0.5,
-0.75,
-0.25,
0.5,
-0.75,
0.75,
0.5
] | 0.994308 | [
1.6259872692335873,
-1.6769397797965455,
-1.5234909712042202,
0.07076332138174894,
0.09535941020082443,
0.07848445490394958,
0.12118341278670078
] | {
"n_parameters": 7,
"n_qubits": 6,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 1 |
4700601e722e5f0a0c40acc2968ffc97 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [21, 49], "expectation_value": -0.07304223858398387, "params": [[-0.0835], [0.0782]], "bitstrings": ["101010", "001110"], "total_optimization_steps": 10, "probabilities": [0.017270037725350244, 0.017270037725350244], "optimization_time": 1.9166300296783447} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(1) @ Z(5)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(5) @ Z(3)) ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.25, "smallest_bitstrings": ["100011", "100110", "101010", "010110", "001110"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.6706529503752435) q[0];
h q[1];
ry(1.4146339409758935) q[1];
h q[2];
ry(-0.5581047246583587) q[2];
h q[3];
cx q[3], q[0];
ry(0.6706529503752435) q[0];
cx q[3], q[0];
ry(-0.44205081723318096) q[0];
ry(0.9054299760275487) q[3];
rz(-pi) q[4];
ry(-0.0725877717... | 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[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZIIZI",
"ZIIIZI",
"ZZIIII",
"ZZIIZI",
"IIZZII",
"ZIIZII",
"ZIZIII",
"ZIZZII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.25,
0,
0,
-0.25,
-0.75,
0
] | 0.991225 | [
-1.6704548362417395,
-1.341305900750487,
1.4146339409758935,
0.973194262912994,
-1.1162094493167174,
0.6844911620078096,
-0.48532124205514987,
0.5740763702252564,
0.27498873776268346,
-0.23622283509959657,
0.44187762803947833,
-0.4116559642671688,
0.5069271119789323,
-0.18155338475627356,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
7192811123396178656 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1], [8, 2], [0, 2], [1, 4], [1, 2], [2, 7], [0, 4], [3, 4], [8, 5], [8, 7], [4, 7], [3, 6], [2, 4], [0, 3], [3, 5], [2, 5], [2, 3]]} | {"states": [398, 426], "expectation_value": -3.664948712989234, "params": null, "bitstrings": ["001110001", "001010101"], "total_optimization_steps": 92, "probabilities": [0.04998515886385116, 0.7125041107731599], "optimization_time": 160.84341835975647} | 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["110101010", "110001110", "001010101", "001110001"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.5653192657235186) q[0];
h q[1];
ry(0.7565253675187874) q[1];
h q[2];
ry(-0.24766477378283286) q[2];
h q[3];
h q[4];
ry(-0.16669462300146654) q[4];
h q[5];
h q[6];
ry(-0.24766477378283286) q[6];
cx q[3], q[6];
ry(0.24766477378283286) q[6];
cx q[3], q[6];
ry(... | 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[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... | [
"ZIIIIIIZI",
"IIIIIIZZI",
"ZIIIIIZII",
"IIIIIIZIZ",
"IIIIZIIZI",
"IIIIZIZII",
"IIIIZIIIZ",
"ZZIIIIIII",
"IZIIIIZII",
"IZIIZIIII",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIZZIII",
"ZIIZIIIII",
"IIIZIIZII",
"IIIZIZIII",
"IIZIIZIII",
"IIIIIIIZI",
"ZIIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.97695 | [
-0.4953295475656657,
1.2283050542683964,
-0.33338924600293307,
1.5590060779643267,
1.5130507350375748,
-1.339157144646384,
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0.1531001267322319,
0.0005277954825933517,
1.1306385314470373,
0.8521685787265829,
-0.049643590965776446,
-0.3373490994611317... | {
"n_parameters": 67,
"n_qubits": 9,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 39 |
e6dcc679f346fee1e07ac4716aca0ef9 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [951, 950], "expectation_value": -3.214282537776924, "params": [0.0263, 0.48140000000000005, 0.6931, -0.054, 0.6940000000000001, 0.0023, 0.4713, -0.2283, 0.0983, -0.2751, 0.7004, -0.0005, 0.7002, 0.0064, -0.0009000000000000001, 0.5288, 0.7010000000000001, 0.0046, 0.6880000000000001, -0.12890000000000001, 0.4... | 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)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(2) @ Z(8)) + 0.0625 * (Z(5) @ Z(6)) + 0.0625 * (Z(5) @ Z(7)) + 0.0625 * (Z(5) @ Z(8)) + 0.0625 * (Z(6) @ Z(7)) ... | 18 | 11 | 4 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.875, "smallest_bitstrings": ["10010001100", "10001001010", "10001011000", "10100001001", "01001001010", "10011001000", "10010001001", "01001101000",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.028503831468203275) q[0];
rz(-0.10362092651680754) q[0];
rx(0.9233846672713318) q[1];
rz(0.24167564281798679) q[1];
cx q[1], q[0];
rz(0.03815898860023738) q[0];
cx q[1], q[0];
rz(-2.7472867258428852) q[0];
ry(0.11592368327167377) q[0];
rz(-2.7042633486215424) q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIIZZZII",
"IIIIIZIIZII",
"IIIIZIIIZII",
"IIIZIIIIZII",
"IIZIIIIIZII",
"IIIIZZIIIII",
"IIIZIZIIIII",
"IIZIIZIIIII",
"IIIZZIIIIII",
"IIZIZIIIIII",
"IIZZIIIIIII",
"IIIIZZIIZII",
"IIIZIZIIZII",
"IIZIIZIIZII",
"IIIZZIIIZ... | [
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,
0.25,... | 0.971242 | [
-0.02850383146820327,
-0.06546193791656917,
0.9233846672713318,
0.24167564281798679,
0.28608481863747226,
0.30020679484410007,
0.2678995514618403,
0.1440586631229151,
0.16133321035573775,
0.24675180249442963,
0.7588566108051312,
0.016637820876501425,
0.4892797280219301,
0.5627081866905341,... | {
"n_parameters": 146,
"n_qubits": 11,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 33 |
3a658982bdb8b79fcfb1b39110b06272 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 0, "target":... | {"states": [114, 118], "expectation_value": -4.604031953164285, "params": [0.0039000000000000003, 0.0022, 0.1794, 0.18710000000000002, -0.008700000000000001, -0.0099, 0.8061, 0.8024, 0.8061, 0.8094, 0.8014, 0.8032, 0.33540000000000003, 0.2672, 0.8123, 0.809, 0.8079000000000001, 0.8102, 0.0731, 0.0867, -0.0037, 0.3905, ... | 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(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(8)) + -1.0 * Z(1) ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["1101010001", "1110001001"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.2653101372918487) q[0];
rz(pi/2) q[0];
ry(-0.2317402517502528) q[1];
ry(0.557291976447416) q[2];
ry(1.7562910680707746) q[3];
ry(1.7562910680707746) q[4];
ry(1.610560700123732) q[5];
ry(-0.006822621130414042) q[6];
ry(2.1508422173193016) q[7];
ry(1.222559718441401... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIZIIIIIZ",
"IIIZIIZIII",
"IIZIIIIIIZ",
"IIIIIZIIZI",
"IZIIIIIIZI",
"IIIIZIIZII",
"IIIZZIIIII",
"ZIIIIIIZII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIZIIIIII",
"IIZIIIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-2,
-1.5,
-1,
-1,
-0.5,
0,
-0.5,
-0.5,
-1
] | 0.973044 | [
0.2653101372918487,
-0.2317402517502528,
0.557291976447416,
1.7562910680707746,
1.610560700123732,
-0.006822621130414042,
2.1508422173193016,
1.2225597184414012,
0.023343961994719303,
-0.3606757469764478,
-0.023998056803496644,
0.5306184092637403,
0.41052729835038193,
-0.34894464774426226,... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 25 |
9a44f437194a4879d426f5b6a5686299 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [38, 7], "expectation_value": -23.13645609781897, "params": null, "bitstrings": ["11011001", "11111000"], "total_optimization_steps": 85, "probabilities": [0.10998425517769823, 0.6193304682934831], "optimization_time": 199.7149772644043} | 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.... | 6 | 8 | 1 | {"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(0.08091434685478957) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.08091434685478957) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.08091434685478957) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.08091434685478957) q[3];
cx q[1], q[3]... | 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[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"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,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
-7.25,
-7,
-7,
-7,
-7.25,
-6.25,
-6.5,
-6.25
] | 0.97193 | [
0.08091434685478957,
0.19683262780482505,
-0.5276026023285014,
-0.2585790863730953,
0.6015554638553474,
0.11689174019538448,
-0.45237660767138255,
-0.07816655406896592,
-0.26502704531832566,
-0.8206004991266179,
-0.7539224517840958,
0.3364543138354996,
0.531455957300341,
-0.599578090869826... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 94 |
f490a28ecdd83f85cb7689547a0eb0f1 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [44, 19], "expectation_value": -0.0923193942996691, "params": [[-0.0604], [0.0708]], "bitstrings": ["010011", "101100"], "total_optimization_steps": 10, "probabilities": [0.01723007229087297, 0.017230072290872974], "optimization_time": 0.9907872676849365} | 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 | 1 | {"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;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[4], q[2];
rz(x0) q[2]... | 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 |
305451fe42c8e99c594080bbfd8c69fa | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, ... | {"states": [84, 100], "expectation_value": -0.15242012282097722, "params": [[-0.0246, 0.0742], [0.0551, -0.053000000000000005]], "bitstrings": ["0101011", "0011011"], "total_optimization_steps": 10, "probabilities": [0.008772098449790046, 0.008772098449790048], "optimization_time": 2.8225677013397217} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(3) + -1.0 * Z(0) + -0.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(1) + -0.5 * Z(2) + -1.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["1011100", "0011011", "0101011", "1110100", "1101100"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.027814750980903902) q[0];
rz(-pi) q[0];
h q[1];
h q[2];
ry(-0.49100116922338494) q[2];
cx q[1], q[2];
ry(0.49100116922338494) q[2];
cx q[1], q[2];
ry(1.0170525385572764) q[1];
ry(-0.507254278499343) q[2];
h q[3];
ry(-1.6292136689337038) q[3];
ry(-0.027814750980903... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIIZIZI",
"IIIZZII",
"IIIIZZI",
"IIZZIII",
"IZZIIII",
"ZIZIIII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-1
] | 0.997185 | [
-1.6292136689337038,
-1.4831408804065311,
1.3973912449279369,
-0.9820023384467699,
0.7457996991728432,
-0.1196813908149234,
-0.3143214037602649,
0.5425056787688665,
-0.38586574947815633,
0.23658047179334926,
-0.3556877717941279,
0.20936317245557942,
0.15268893975321973,
-0.2140717037190976... | {
"n_parameters": 15,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
-1751951701620481849 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[1, 4], [3, 4], [0, 1], [1, 2]]} | {"states": [23, 21], "expectation_value": -0.04546267575931634, "params": [[[1.7585000000000002, 0.0066], [1.3795000000000002, 0.006200000000000001], [1.7548000000000001, 0.0097], [1.5518, 0.0051], [1.6698000000000002, 0.0045000000000000005]]], "bitstrings": ["01000", "01010"], "total_optimization_steps": 180, "probabi... | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["10101", "01010"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(3.1258547120203417) q[0];
rz(1.1479387220664703) q[0];
rx(-0.029072889620616743) q[1];
rz(0.9508021159375424) q[1];
rx(3.005330664222116) q[2];
rz(-0.07184314033372752) q[2];
rx(-0.06539779208598426) q[3];
rz(-1.7773080853638428) q[3];
rx(3.328300731521075) 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;
input float[64] x9;
bit[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | null | {"circuits": [], "gradients": []} | [
"ZIIZI",
"ZZIII",
"IIIZZ",
"IIZZI",
"ZIIII",
"IIIZI",
"IZIII",
"IIIIZ",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.988123 | [
3.1258547120203417,
1.1479387220664703,
-0.029072889620616743,
0.9508021159375424,
3.005330664222116,
-0.07184314033372752,
-0.06539779208598426,
-1.7773080853638428,
3.328300731521075,
-1.0624834707911877
] | {
"n_parameters": 10,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 24 |
ad5e16c647b3e8afeeb51cea63283747 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [104, 19], "expectation_value": -0.10009090434016299, "params": [[-0.027800000000000002, 0.051000000000000004], [0.0408, -0.0368]], "bitstrings": ["0010111", "1101100"], "total_optimization_steps": 10, "probabilities": [0.008222643077972058, 0.008284674615453177], "optimization_time": 3.4954729080200195} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + -2.0 * Z(4) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(1) + -0.5 * Z(2) + -1.0 * Z(6) + -0.5 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100101", "0010111", "0100111", "1101100", "0101110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.5498208309717705) q[0];
rz(-pi) q[1];
ry(-0.027905039045476778) q[1];
h q[2];
ry(1.4286739804212187) q[2];
h q[3];
h q[4];
ry(-1.5712458828569957) q[4];
h q[5];
cx q[5], q[0];
ry(0.5498208309717705) q[0];
cx q[5], q[0];
ry(-0.6191263193766597) q[0];
ry(1.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IZZIIII",
"IZIIIIZ",
"IZIIIZI",
"IIZIZII",
"IIIIZZI",
"ZIZIIII",
"ZIIIIZI",
"IIZZIII",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1,
-1,
-0.5,
-1,
-0.5
] | 0.994261 | [
-1.5712458828569957,
-1.4972505690550146,
1.4286739804212187,
-1.0053995826514508,
-1.099641661943541,
0.690142419476929,
-0.4471038081227416,
0.6668894682407048,
-0.3440450225078362,
0.09470115397418863,
0.33432841627262677,
-0.28297716612437795,
-0.16457309048695368,
0.2152753034606018,
... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
0880db631f670f7f3ca0bd5d242b72c4 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"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, "target": 2}, ... | {"states": [2, 3], "expectation_value": -26.622046754145558, "params": [0.0269, 0.26990000000000003, -0.0014, 0.2833, 0.0222, 0.2677, 0.0685, 0.27540000000000003, 0.23750000000000002, 0.2942, 0.49250000000000005, 0.1849, 0.4858, 0.18660000000000002, 0.0346, 0.2763, 0.0002, 0.2803, 0.025400000000000002, 0.26630000000000... | 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)) + 2.75 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + ... | 3 | 7 | 4 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.5872911573188792) q[0];
rz(-pi) q[0];
ry(-0.26726735204165186) q[1];
rz(-pi) q[1];
ry(-0.32025952141824876) q[2];
rz(-pi) q[2];
ry(-0.6224629696099127) q[3];
rz(-pi) q[3];
ry(-0.35181623562306424) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[0];
ry(0.7161138757931876) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"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... | [
2.75,
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,
2.75,
3,
3,
3,
3,
-10.5,
-10.25,
-10.25,
-10,
-10,
-9.5,
-9.5
] | 0.970185 | [
5.251233437186073,
-0.2673912936828298,
-0.7760115953540541,
-0.3650841035981909,
-1.3429305731484023,
-1.4322277515863753,
-1.1664985071735865,
1.1175018014905993,
-0.9490504200451876,
-0.543154209519463,
0.8403138767734598,
-0.42645370075633826,
-0.3266029877858881,
0.24790096395313949,
... | {
"n_parameters": 47,
"n_qubits": 7,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 1 |
1d157fef5c5aef3ec5bc9e7913c224a5 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 6}, {"source": 1, "target":... | {"states": [816, 820], "expectation_value": -6.463469076297456, "params": [0.8976000000000001, 0.897, 0.9056000000000001, 0.9053, -0.0035, -0.005, 0.7005, 0.7078, 0.894, 0.8938, 0.8991, 0.9026000000000001, -0.0033, -0.0036000000000000003, 0.8589, 0.8565, -0.0055000000000000005, -0.0056, 0.0017000000000000001, 0.0012000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) ... | 13 | 10 | 1 | {"smallest_eigenvalues": [-8.5, -8.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.5, "smallest_bitstrings": ["0010001111", "0011001011"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.7075686807891632) q[0];
rz(0.12965390373355948) q[0];
ry(1.6700068512924031) q[1];
ry(0.2763153289269215) q[2];
ry(-0.19333010336385675) q[3];
ry(1.8358613846333443) q[4];
ry(1.5517058775369963) q[5];
ry(0.3846353086187063) q[6];
ry(1.5057906105083634) q[7];
ry(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIZIIIZII",
"IIIZIIIIIZ",
"IZIIIIIIIZ",
"IIIZIIIIZI",
"ZIIIIIIZII",
"ZIIIIIIIZI",
"IIIIIIZZII",
"IZIIIIZIII",
"IIIIIZIZII",
"IIIZIZIIII",
"IZIIIZIIII",
"ZIIIIZIIII",
"IZZIIIIIII",
"ZIZIIIIIII",
"IIZIIIZIII",
"IIIZZIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIZIIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-2,
-1.5,
-0.5,
-1.5,
-1,
-1.5,
-1,
0
] | 0.97014 | [
1.7075686807891632,
1.6700068512924031,
0.2763153289269215,
-0.19333010336385675,
1.8358613846333443,
1.5517058775369963,
0.3846353086187063,
1.5057906105083634,
0.14676662549327046,
-0.1539836687411938,
0.25930780746711896,
-0.6962671382074178,
0.4666105243740263,
0.3271739142421147,
-0... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 20 |
1945c14bbcec92b7e4f7655d5da7795f | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [128, 1], "expectation_value": -8.257007480993849, "params": null, "bitstrings": ["01111111", "11111110"], "total_optimization_steps": 22, "probabilities": [0.16181872014306584, 0.644917025833557], "optimization_time": 21.001314640045166} | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(6)) + -0.75 * (Z(... | 1 | 8 | 3 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["10000000", "11111110", "10011010", "10111110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7829208339556055) q[0];
h q[1];
h q[2];
ry(-1.565841667911211) q[2];
h q[3];
ry(-1.565841667911211) q[3];
h q[4];
ry(-1.6049620459691951) q[4];
ry(-0.02737154603416445) q[5];
rz(-pi) q[5];
h q[6];
ry(-1.5671790015514286) q[6];
h q[7];
cx q[7], q[0];
ry(0.7... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[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... | [
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIZII",
"IIZIIIIZ",
"IZIIIIIZ",
"IZIZIIII",
"IZZIIIII",
"IIIIIZZI",
"IIIZIIZI",
"IIIIZZII",
"IIIZZIII",
"IIZIZIII",
"IZIIZIII",
"IIIIZIZI",
"ZIIIIZII",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIIIIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
-0.75,
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
-0.75,
-0.5,
-0.75,
-0.75,
-0.75,
-0.75,
2,
-0.5,
-0.5,
-0.25,
-0.25,
0,
1.5,
-0.5,
1.25,
-2,
0.25
] | 0.971076 | [
-1.565841667911211,
-1.5671790015514286,
-1.6049620459691951,
0.6420941017453372,
-0.27825456102521207,
0.670535929579305,
-0.3414240103559716,
-1.3886537724625685,
-0.8050574439941292,
-0.281509916078036,
-0.3095420165963274,
-0.05839965564258676
] | {
"n_parameters": 12,
"n_qubits": 8,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 4 |
1454358218815176075 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 6], [0, 2, 4, 5, 6], [0, 1, 2, 3, 4], [0, 3, 7], [1, 7], [2, 3, 5], [2, 3, 4, 7]]} | {"states": [94, 222], "expectation_value": -0.24554690138834565, "params": [[-0.1494], [0.15810000000000002]], "bitstrings": ["10100001", "00100001"], "total_optimization_steps": 20, "probabilities": [0.005077680197716858, 0.0050828645439357275], "optimization_time": 3.3545267581939697} | 0.21666666666666667 * (Z(1) @ Z(2)) + 0.21666666666666667 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.1 * (Z(0) @ Z(2)) + 0.05 * (Z(0) @ Z(1)) + 0.05 * (Z(0) @ Z(6)) + 0.18333333333333335 * (Z(4) @ Z(2)) + 0.05 * (Z(4) @ Z(1)) + 0.05 * (Z(4) @ Z(6)) + 0.1 * (Z(4) @ Z(0)) + 0.21666666666666667 * (Z(5) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.0666666666666664], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9500000000000002, "smallest_bitstrings": ["00100001"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.029021912151696316) q[1];
cx q[2], q[1];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(-0.029021912151696316) q[6];
cx q[2], q[6];
cx q[1], q[6];
cx q[2], q[0];
rz(0.0608275267664712) q[0];
cx q[2], q[0];
cx q[2], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IZIIIZII",
"IZIIIIZI",
"IIIIIZIZ",
"IIIIIIZZ",
"IZIIIIIZ",
"IIIZIZII",
"IIIZIIZI",
"IZIZIIII",
"IIIZIIIZ",
"IIZIIZII",
"IZZIIIII",
"IIZIIIIZ",
"IIZZIIII",
"IIIIZZII",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZZIII",
"IIZIZIII",
"ZIIIIZII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIZIII... | [
0.21666666666666667,
0.21666666666666667,
0.16666666666666666,
0.1,
0.05,
0.05,
0.18333333333333335,
0.05,
0.05,
0.1,
0.21666666666666667,
0.05,
0.05,
0.05,
0.3,
0.05,
0.21666666666666667,
0.13333333333333333,
0.16666666666666666,
0.08333333333333333,
0.5,
0.166666666666666... | 0.971388 | [
-0.029021912151696316,
-0.05672962617670639,
0.0608275267664712,
-0.04705198079539488,
0.05944405558576269,
-0.021231875261392988,
0.0228581333333243,
-0.038141840658350926,
-0.4000941215819279,
0.07630654286013437,
1.586924790211422,
-1.6089941112747173,
-1.7546229920067162,
-1.4815188247... | {
"n_parameters": 17,
"n_qubits": 8,
"optimal_eigenvalue": -2.0666666666666664,
"target_ratio": 0.97,
"target_value": -2.0046666666666666
} | 89 |
3fb3735639c46bff7d77a855f00e5a0c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 1... | {"states": [1, 5], "expectation_value": -0.07404075420818793, "params": [[0.035500000000000004], [-0.0368]], "bitstrings": ["1111110", "1111010"], "total_optimization_steps": 10, "probabilities": [0.008367847800452032, 0.00837000048530763], "optimization_time": 1.8503048419952393} | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(6) @ Z(2)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + 0.5 * Z(2) + -0.25 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1111010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.15656815186826128) q[0];
rz(0.15627741730544642) q[0];
rx(0.07155707979271855) q[1];
rz(0.41889354116436905) q[1];
rx(-0.036854522120223276) q[2];
rz(0.3006228164158884) q[2];
rx(-0.08168454662241761) q[3];
rz(1.026473851281004) q[3];
rx(0.8163706473005876) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
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": []} | [
"IIIIZIZ",
"IZIIZII",
"IZIIIIZ",
"IIIIZZI",
"IZIIIZI",
"IIIZZII",
"IZIZIII",
"IIIZIZI",
"IIZIZII",
"IIZZIII",
"ZIIIZII",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIZIII",
"IIZIIII",
"ZIIIIII"
] | [
-0.5,
-0.75,
-0.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.25,
1.25,
-0.5,
0.5,
-0.25,
-1.25,
-0.5,
0,
1,
0.5
] | 0.973909 | [
0.15656815186826128,
0.5442420018401137,
0.07155707979271855,
0.902550613450768,
-0.036854522120223276,
0.7986190445176811,
-0.08168454662241761,
0.9231305560999041,
0.8163706473005876,
0.16616318461372137,
0.13465721119367224,
0.8447385901987526,
1.1276480729653369,
-0.17486223285907548,
... | {
"n_parameters": 56,
"n_qubits": 7,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 4 |
-2449220978883315878 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4], [1, 2, 6, 7], [0, 4], [0, 2], [0, 6, 7], [1, 2, 4, 7], [0, 1], [0, 3, 5], [1, 3], [1, 2, 5, 6], [2, 3, 5, 7], [4, 5, 6, 7], [0, 5, 6]]} | {"states": [62, 110], "expectation_value": -3.32047466829874, "params": null, "bitstrings": ["11000001", "10010001"], "total_optimization_steps": 55, "probabilities": [0.09151186737088124, 0.7951725229676709], "optimization_time": 103.02985978126526} | 0.5 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.749999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(-0.6329396137779018) q[3];
cx q[4], q[3];
cx q[4], q[1];
rz(0.1808680289704988) q[1];
cx q[4], q[1];
cx q[3], q[1];
rz(-0.6329396137779018) q[1];
cx q[3], q[1];
cx q[4], q[2];
rz(0.1808680289704988) q[2];
cx q[4]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5405) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIZZIII",
"IIIZIIZI",
"IIIIZIZI",
"IIIZIZII",
"IIIIZZII",
"IIIIIZZI",
"IZIZIIII",
"IZIIIIZI",
"IZIIIZII",
"ZIIZIIII",
"ZIIIZIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZZIIIIII",
"IIIZIIIZ",
"IIIIZIIZ",
"IIIIIIZZ",
"IIIIIZIZ",
"IZIIIIIZ",
"ZIIIIIIZ",
"IIZZIIII",
"IIZIZIII",
"IIZIIIZ... | [
0.5,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.25,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.25,
0.3333333333333333,
0.5,
0.16666666666666666,
0.5,
0.5,
0.33333333333... | 0.559729 | [
-0.6329396137779018,
0.1808680289704988,
-0.12178007702194944,
-0.0008553429385570757,
-0.22394355311220157,
-0.24374830197555394,
0.5085751335054487,
-1.0564211842158933,
-1.2915086013955794,
0.8744426141688094
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -3.749999999999999,
"target_ratio": 0.97,
"target_value": -3.637499999999999
} | 237 |
f6cdf6caae833c575489bb2b7a623058 | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [99, 106], "expectation_value": -4.4998837594657655, "params": null, "bitstrings": ["0011100", "0010101"], "total_optimization_steps": 31, "probabilities": [1.641381075984253e-05, 0.9999151790540868], "optimization_time": 27.37117099761963} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(1) + 0.0 * Z(5) + 0.0 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0010101"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-3.124759052725892) q[0];
rz(-pi) q[0];
ry(-3.0854626450991742) q[1];
rz(-pi) q[1];
ry(-0.03369902748015139) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4369841717910352) q[3];
ry(-0.03369902748015139) q[4];
rz(-pi) q[4];
h q[5];
ry(1.504625431852586) q[5];
cx q[5], q[0];
ry(-0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) 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];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIZIIIZ",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZZI",
"IIZIIZI",
"IZIIZII",
"ZIIZIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-1,
-0.5,
0,
0
] | 0.995276 | [
-1.5205674065543304,
-1.4762215588150907,
1.504625431852586,
1.4369841717910352,
-0.10005583704498788,
0.23395710827992075,
0.2788948906500424,
0.02008177290338363,
0.0009735704753418978,
-0.03305978552082959,
-0.11837486768070965
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
37b4d7e73e68e3a0e1c4ff3b862df722 | 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": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 1, "source": 0, "target":... | {"states": [256, 384], "expectation_value": -14.076960993045025, "params": [-0.4878, -0.0028, -0.1661, 0.0074, -0.0109, 0.32020000000000004, 0.0134, 0.4152, 0.6053000000000001, -0.0025, 0.5966, -0.005200000000000001, -0.3768, -0.0038, -0.35400000000000004, -0.0015, 0.0008, 0.45930000000000004, 0.0013000000000000002, 0.... | -0.25 * (Z(0) @ Z(4)) + -0.5 * (Z(9) @ Z(4)) + -0.75 * (Z(9) @ Z(0)) + -0.25 * (Z(10) @ Z(0)) + 1.5 * (Z(2) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -0.75 * (Z(1) @ Z(9)) + -0.75 * (Z(1) @ Z(10)) + -0.75 * (Z(3) @ Z(10)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(9)) + -0.5 * (Z(6) @ Z(10)) + -0.5 * (Z... | 6 | 11 | 2 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["11001111111"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.5669637281800993) q[0];
rz(1.5392738110541604) q[0];
rx(-0.1693326796246577) q[1];
rz(1.978776938319296) q[1];
rx(1.0072783025365697) q[2];
rz(1.3515309379281302) q[2];
rx(-0.5199113401643577) q[3];
rz(1.1428119548717) q[3];
rx(0.040775400103084364) q[4];
rz(2.20... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IZIIIIZIIII",
"IZIIIIIIIIZ",
"ZIIIIIIIIIZ",
"IIIIIIIIZIZ",
"IIIIIIZIIZI",
"IZIIIIIIIZI",
"ZIIIIIIIIZI",
"ZIIIIIIZIII",
"IIIIIIIZZII",
"IIIIZIZIIII",
"IZIIZIIIIII",
"ZIIIZIIIIII",
"ZIIIIZIIIII",
"IIIIIZIZIII",
"IIIIZZIIIII",
"IZZIIIIIIII",
"ZIZIIIIIIII",
"IIZIIIIII... | [
-0.25,
-0.5,
-0.75,
-0.25,
1.5,
-0.25,
-0.75,
-0.75,
-0.75,
-0.5,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
-1,
-0.5,
-0.5,
-0.25,
-0.5,
-0.75,
-0.25,
-0.25,
-1,
-0.25,
0.75,
-2.75,
1,
0,
1,
-0.25,
0.25,
0.5,
0.75
] | 0.972435 | [
-0.5669637281800992,
-0.031522515740735946,
-0.16933267962465767,
0.4079806115243981,
1.00727830253657,
-0.21926538886676633,
-0.5199113401643578,
-0.42798437192319794,
0.040775400103084364,
0.6357827880817293,
-0.1361845988180261,
0.11960857671853353,
0.103151189506688,
0.1921872308399858... | {
"n_parameters": 100,
"n_qubits": 11,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 22 |
b35471d22a6edeecd15d92b336fcafe1 | 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": 1, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target":... | {"states": [2047, 1023], "expectation_value": -17.51036434516033, "params": [[[0.0038, -0.0024000000000000002], [-0.0019, 0.0018000000000000002], [0.005200000000000001, 0.0025], [0.0067, 0.0021000000000000003], [0.0102, 0.0024000000000000002], [0.0029000000000000002, 0.0024000000000000002], [0.0004, 0.00240000000000000... | -0.25 * (Z(0) @ Z(7)) + -2.0 * (Z(1) @ Z(4)) + -0.25 * (Z(8) @ Z(1)) + -0.25 * (Z(10) @ Z(4)) + -0.75 * (Z(10) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(10)) + -1.0 * (Z(3) @ Z(8)) + -1.0 * (Z(3) @ Z(10)) + -1.5 * (Z(5) @ Z(7)) + -1.25 * (Z(5) @ Z(8)) + -1.25 * (Z(5) @ Z(3)) + -1.25 * (Z(... | 15 | 11 | 2 | {"smallest_eigenvalues": [-18.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.25, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 21.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.16476873556480792) q[0];
ry(-0.15628319680806652) q[1];
ry(-0.1365944721814562) q[2];
ry(-0.15058910967641487) q[3];
ry(-0.024422638173255396) q[4];
ry(-0.09482978590313201) q[5];
ry(-0.3274866484582577) q[6];
ry(-0.06794741207004673) q[7];
ry(-0.0342486409573097... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIZIIIIIIZ",
"IIIIIIZIIZI",
"IIZIIIIIIZI",
"ZIIIIIZIIII",
"ZIIIIIIIIZI",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"ZIIIIIIIZII",
"IIZIIIIZIII",
"ZIIIIIIZIII",
"IIIZIZIIIII",
"IIZIIZIIIII",
"IIIIIZIZIII",
"IIIZZIIIIII",
"IIZIZIIIIII",
"ZIIIZIIIIII",
"IIIIZIIZIII",
"IZIZIIIIIII",
"IZZIIIIII... | [
-0.25,
-2,
-0.25,
-0.25,
-0.75,
0.5,
-1,
-0.75,
-1,
-1,
-1.5,
-1.25,
-1.25,
-1.25,
-1,
-2,
-0.5,
-0.5,
-1,
-0.25,
0.5,
-0.25,
-0.25,
2.5,
-4,
1,
-1.25,
1.75,
-1,
0.25,
0.75
] | 0.971196 | [
-0.16476873556480792,
-0.15628319680806652,
-0.1365944721814562,
-0.15058910967641487,
-0.024422638173255396,
-0.09482978590313201,
-0.3274866484582577,
-0.06794741207004673,
-0.03424864095730971,
0.03313634199672088,
-0.02502988250892489,
-0.08105916183709533,
-0.002901189744641982,
0.020... | {
"n_parameters": 72,
"n_qubits": 11,
"optimal_eigenvalue": -18.25,
"target_ratio": 0.97,
"target_value": -17.7025
} | 54 |
2578399584052386360 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 5, 6], [1, 4, 6], [1, 3], [1, 5], [0, 5, 6], [0, 1], [0, 3, 5], [2, 3, 6], [0, 2, 3], [0, 4, 6]]} | {"states": [113, 94], "expectation_value": -0.9297973166409997, "params": [[-0.24100000000000002], [0.2431]], "bitstrings": ["0001110", "0100001"], "total_optimization_steps": 30, "probabilities": [0.016808713082933247, 0.016857165762376846], "optimization_time": 1.2307837009429932} | 0.16666666666666666 * (Z(2) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.3333333333333333 * (Z(4) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.3333333333333333 * (Z(3) @ Z(2)) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.833333333333333, -2.833333333333333, -2.833333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["0110000", "0100001", "0110100"], "largest_eigenvalue": 8.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-3.0438647867451922) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.7345028868217038) q[1];
h q[2];
ry(-0.5448171681096997) q[2];
h q[3];
ry(1.4152048811889713) q[3];
cx q[3], q[1];
ry(0.7345028868217038) q[1];
cx q[3], q[1];
cx q[3], q[2];
ry(0.5448171681096997) q[2];
cx q[3], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[2];
rz(x0) q[2];
cx q[5], q[2];
cx q[5], q[6];
rz(x1) q[6];
cx q[5], q[6]... | null | {"circuits": [], "gradients": []} | [
"IZIIZII",
"ZZIIIII",
"ZIIIZII",
"IZIIIZI",
"ZIIIIZI",
"ZIZIIII",
"IIZIIZI",
"IZIZIII",
"IIIZZII",
"ZIIZIII",
"IIIZIZI",
"IZIIIIZ",
"IIIIZIZ",
"ZIIIIIZ",
"IIIIIZZ",
"IIZIIIZ",
"IIIZIIZ",
"IZIIIII",
"IIIIZII",
"ZIIIIII",
"IIIIIZI",
"IIZIIII",
"IIIZIII",
"IIIIIIZ"
] | [
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.... | 0.991074 | [
1.7271312740976037,
1.4152048811889713,
-1.4690057736434077,
1.380736829635088,
-1.0896343362193994,
1.29634736208749,
-0.10522125712701544,
-0.4058945083450962,
0.3470117652772856,
0.05424923562080845,
0.18466326063041555,
-0.0819319647956927,
-0.04984939659682423,
-0.012929946425991816,
... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -2.833333333333333,
"target_ratio": 0.97,
"target_value": -2.748333333333333
} | 1 |
ad7ba83290870f78ee39f06faaa6d5c0 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [125, 127], "expectation_value": -6.144746033732121, "params": null, "bitstrings": ["10000010", "10000000"], "total_optimization_steps": 59, "probabilities": [0.3669769650464584, 0.3669769650464584], "optimization_time": 90.07308316230774} | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(7)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(6)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["10000000", "10000010", "10000110"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.034844011332879614) q[0];
cx q[3], q[0];
h q[4];
cx q[0], q[4];
rz(-0.034844011332879614) q[4];
cx q[0], q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[7];
rz(0.021220240325448322) q[7];
cx q[3], q[7];
cx q[0], q[7];
cx q[3... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIZIIZ",
"IIIZIIIZ",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIZIZI",
"IIIZIIZI",
"ZIIIIIZI",
"IIIIZZII",
"ZIIIIZII",
"IIIIIZZI",
"IIZIZIII",
"IIZIIZII",
"IZZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII"
] | [
-0.25,
-0.25,
-0.75,
0.75,
-0.5,
-0.5,
-0.25,
-0.25,
-1,
-0.25,
-0.5,
-0.75,
-0.75,
-0.25,
1.25,
-0.25,
0,
-1,
1,
0.5,
-1.25,
-0.25
] | 0.970653 | [
-0.034844011332879614,
0.021220240325448322,
4.14081704613734,
-0.02836829097701573,
0.9928839988256033,
-0.7241766421867887,
-0.8495874140952102,
-0.37261573279980825,
-0.7361582307300965,
-0.4162496087713253,
1.820243699490485,
-0.0028210601597248794,
-0.22590816858116236,
0.543504316292... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 461 |
3f15d8a3a52bb3495503dcce203eb5e8 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, ... | {"states": [11, 60], "expectation_value": -0.8709921727239102, "params": [[0.0635, 0.06720000000000001, 0.0756], [-0.0623, -0.0655, -0.0698]], "bitstrings": ["1110100", "1000011"], "total_optimization_steps": 10, "probabilities": [0.013596489422887504, 0.013819318307096687], "optimization_time": 4.194010496139526} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(3) + -1.5 * Z(0) + -1.0 * Z(4) + -1.5 * Z(5) + -0.5 * Z(6) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1000011", "1000110"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.18490095040635746) q[0];
rz(1.2635261740368904) q[0];
rx(0.3687010436203233) q[1];
rz(1.6439735689664445) q[1];
rx(0.7022268456495964) q[2];
rz(1.7823431104855736) q[2];
rx(1.1118749199278979) q[3];
rz(1.4509987147215941) q[3];
rx(0.06893412251554275) q[4];
rz(1.66... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZIIIZ",
"IZIIIIZ",
"IZZIIII",
"ZIIIIIZ",
"ZIZIIII",
"IZIIIZI",
"IZIIZII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1.5,
-1,
-1.5,
-0.5,
0,
0
] | 0.970519 | [
0.18490095040635746,
-0.30727015275800573,
0.36870104362032324,
0.07317724217154742,
0.7022268456495964,
0.21154678369067664,
1.111874919927898,
-0.11979761207330228,
0.06893412251554275,
0.09437472440523963,
-0.07954573970746273,
0.19536377362600246,
0.20694865552136746,
0.155054759714475... | {
"n_parameters": 56,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 21 |
0f435eed505f807fb8dc44643dfd43ce | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target"... | {"states": [20, 5], "expectation_value": -0.3146200948745226, "params": [[0.0407, 0.0383, 0.06720000000000001], [-0.030600000000000002, -0.0234, -0.046]], "bitstrings": ["01011", "11010"], "total_optimization_steps": 10, "probabilities": [0.035711382508583384, 0.035711382508583446], "optimization_time": 3.1989893913269... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["11010", "01011", "10011"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.366669122515066) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] ... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZIZI",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"ZZIII",
"IZZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1,
0
] | 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 |
7bc4dde9a09d0b94c5097b219891d81a | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [4, 1], "expectation_value": -1.35953897569352, "params": [[0.0682], [-0.0516]], "bitstrings": ["1011", "1110"], "total_optimization_steps": 10, "probabilities": [0.070884428336243, 0.07220500352123532], "optimization_time": 0.8018147945404053} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + -4.5 * Z(1) + -4.75 * Z(0) + -4.5 * Z(2) + -4.25 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1110"], "largest_eigenvalue": 29.0} | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) ... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
-4.5,
-4.75,
-4.5,
-4.25
] | 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 |
cf9a1540b011355d554ff1ed574e9153 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 5}, ... | {"states": [85, 29], "expectation_value": -4.499130260587304, "params": null, "bitstrings": ["0101010", "1100010"], "total_optimization_steps": 32, "probabilities": [0.06552842207412077, 0.9338525446455993], "optimization_time": 29.718908309936523} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.5 * Z(5) + -0.5 * Z(2) + 0.0 * Z(4) + 0.0 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100010", "0101010"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027904492225509954) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.027904492225509954) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.027904492225509954) q[2];
cx q[1], q[2];
rz(1.342829921786847) q[1];
rx(1.4533457... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IZIIIIZ",
"IIIIZZI",
"IZIIZII",
"IZZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"IIIIZII",
"IIZIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-1.5,
-0.5,
0,
0
] | 0.970395 | [
0.027904492225509954,
1.3428299217868471,
-1.3973477579863305,
1.1084896251587875,
-1.2207028245392655,
1.4533457571386144,
-0.40356853974988083,
1.2087457512520743,
0.5067522003052877,
0.6097643117392808,
0.41447285258051847
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 47 |
-7643063222588148625 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 4, 6, 7], [5, 7], [0, 3, 4], [1, 2], [9, 4, 1, 7], [0, 2], [0, 1], [0, 8], [2, 3], [9, 3], [8, 9]]} | {"states": [359, 358], "expectation_value": -0.22399049490250736, "params": [0.7015, -0.0017000000000000001, 0.6924, 0.006900000000000001, 0.7082, -0.0038, 0.7046, 0.0011, 0.6999000000000001, 0.0269, 0.6786, 0.0074, 0.7093, 0.0005, 0.7039000000000001, 0.008, 0.6984, 0.0064, 0.6983, 0.0061, 0.7058, -0.0007, 0.5371, 0.00... | 0.08333333333333333 * (Z(8) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(8)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.08333333333333333 * (Z(7) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(8)) + 0.16666666... | 6 | 10 | 1 | {"smallest_eigenvalues": [-3.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.833333333333333, "smallest_bitstrings": ["1010011001"], "largest_eigenvalue": 6.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.3484320732300832) q[0];
rz(1.3882397372316593) q[0];
rx(1.6622978587521964) q[1];
rz(1.6077695638642648) q[1];
rx(0.6838866859613267) q[2];
rz(1.5926085529202476) q[2];
rx(2.332154460393589) q[3];
rz(1.4801650854107056) q[3];
rx(1.9560238094078481) q[4];
rz(1.7907... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IZIIIZIIII",
"IIIZIZIIII",
"IZIZIIIIII",
"IIZIIZIIII",
"IZZIIIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"IIIIIZIIIZ",
"IZIIIIIIIZ",
"IIIIIZZIII",
"IIIIIIZIIZ",
"IIIIIZIIZI",
"IIZIIIIIZI",
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIIIIZZI",
"ZIIIIZIIII",
"ZZIIIIIIII",
"ZIZIIIIIII"... | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.5,
0.5,
0.08333333333333333,
... | 0.972254 | [
0.3484320732300832,
-0.18255658956323764,
1.6622978587521964,
0.036973237069367976,
0.6838866859613267,
0.021812226125350928,
2.332154460393589,
-0.09063124138419044,
1.9560238094078481,
0.21991907642411018,
0.3302681561199365,
-0.5165851333853287,
-0.2885020810692325,
-0.9923961690649622,... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -3.833333333333334,
"target_ratio": 0.97,
"target_value": -3.7183333333333337
} | 112 |
24ec85ceb3f94374e977a871ddcf35bc | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [35, 44], "expectation_value": -0.18132154351828803, "params": [[0.0368, 0.06760000000000001], [-0.016, -0.0548]], "bitstrings": ["011100", "010011"], "total_optimization_steps": 10, "probabilities": [0.017655271437711718, 0.018011728339193202], "optimization_time": 2.3157334327697754} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["011010", "011100", "010011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.04176737542190623) q[0];
rz(-pi) q[0];
ry(-2.945037601850049) q[1];
rz(-pi) q[1];
h q[2];
ry(1.4906421176738867) q[2];
h q[3];
h q[4];
ry(0.6746829349540775) q[4];
h q[5];
ry(-0.2974549213254869) q[5];
cx q[3], q[5];
ry(0.2974549213254869) q[5];
cx q[3], q[5];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIZIZI",
"ZIIIZI",
"ZIIZII",
"IZIZII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-0.5,
-0.5,
-0.5
] | 0.971567 | [
-1.5669187022824613,
-1.5230986125139825,
1.4906421176738867,
-0.5949098426509738,
1.0949934439908702,
1.1307724253187426,
-0.9752655168159003,
1.349365869908155,
0.5257905149682746,
0.08690217507268594,
-0.18517364442419398,
0.5584956621285644,
0.3260867579106622,
0.07577950181894219,
0... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 12 |
58c03faa30d0c8774100cfa24f25fe60 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target":... | {"states": [508, 511], "expectation_value": -13.344120877176142, "params": [[[0.0023, 1.7041000000000002], [0.0019, -0.002], [-0.0026000000000000003, -0.002], [-0.0029000000000000002, -0.0031000000000000003], [-0.0023, -0.0024000000000000002], [-0.0027, -0.0029000000000000002], [-0.0031000000000000003, -0.0029000000000... | -2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 1.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4... | 15 | 9 | 1 | {"smallest_eigenvalues": [-16.5, -16.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -15.5, "smallest_bitstrings": ["000001100", "000000000"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.7412757969131151) q[0];
h q[1];
cx q[1], q[0];
ry(-0.7412757969131151) q[0];
cx q[1], q[0];
ry(1.451801905468078) q[0];
ry(0.5423029351916456) q[1];
h q[2];
ry(1.4825515938262301) q[2];
cx q[2], q[0];
ry(-0.10232302254412881) q[0];
cx q[2], q[0];
ry(0.06280... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZZIII",
"IIZZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-2.5,
0.5,
-2,
1,
-2.5,
-2,
-2,
1,
0.5,
-2.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5
] | 0.954735 | [
1.4825515938262301,
0.5423029351916456,
1.349478882923949,
0.20464604508825762,
0.12561750478083386,
0.20791252357193157,
0.7719955553846846,
0.0638474305037303,
-0.0775918025965658,
1.8489389613820453,
1.7877363284318122,
0.561981111937848,
-0.7164170155935118,
0.258530251077349,
1.5760... | {
"n_parameters": 51,
"n_qubits": 9,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 500 |
3bcfe4648282d1b3b76d6f42e87e5c5d | 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": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [28, 44], "expectation_value": -3.996398041568144, "params": null, "bitstrings": ["100011", "010011"], "total_optimization_steps": 25, "probabilities": [0.06635196634064289, 0.9303270202946885], "optimization_time": 21.30604124069214} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -2.0 * Z(5) + -0.5 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["100011", "010011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.4983893330425997) q[1];
cx q[0], q[1];
ry(0.4983893330425997) q[1];
cx q[0], q[1];
ry(1.066076181721017) q[0];
ry(-0.5938713995022797) q[1];
h q[2];
ry(1.5402154026626123) q[2];
h q[3];
ry(1.5402154026626123) q[3];
ry(-0.17623757719026006) q[4];
rz... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IZIZII",
"ZIZIII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IZIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-2,
-0.5,
-1,
-0.5
] | 0.996974 | [
-1.5938656292948508,
-1.3287538149981546,
1.5402154026626123,
-0.9967786660851994,
0.7888739065478406,
-0.13160986921296364,
-0.42930010710070565,
0.5544045503463523,
-0.32914258480314823,
0.19808762382699582,
-0.14239960728529294,
0.027159174901727368,
0.17468980324708977,
-0.025156201310... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
d2e3f71e5c020057da0dd1812bdf6517 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [31710, 56190], "expectation_value": -12.460012777396036, "params": [[0.19740000000000002, 0.6522, 1.8696000000000002], [-0.5301, -0.26080000000000003, -0.1522]], "bitstrings": ["1000010000100001", "0010010010000001"], "total_optimization_steps": 370, "probabilities": [0.005322929778589963, 0.005322929778589... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z... | 1 | 16 | 3 | {"smallest_eigenvalues": [-13.999999999999932], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.999999999999911, "smallest_bitstrings": ["0010010010000001"], "largest_eigenvalue": 46.0000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(1.1661276350304126) q[0];
rz(0.1368317091350482) q[0];
ry(0.04120953092979138) q[1];
rz(0.6237278116787298) q[1];
cz q[1], q[0];
ry(0.8639209804903288) q[0];
rz(-0.20514548926058004) q[0];
ry(0.1701074616062198) q[1];
ry(0.11262869094573309) q[2];
rz(0.3181473576708... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[16] c;
qubit[16] q;
h q[0];
h q[1];
... | {"number_of_colors": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIIZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
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0.5,
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0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
0... | 0.975208 | [
1.1661276350304126,
0.1368317091350482,
0.04120953092979138,
0.6237278116787298,
0.11262869094573309,
0.3181473576708103,
0.734978694415438,
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-0.5003240831397697,
0.31670140934387114,
0.2559084340847741,
0.0720191758938528,
0.2177008887266607,
0.... | {
"n_parameters": 181,
"n_qubits": 16,
"optimal_eigenvalue": -13.999999999999932,
"target_ratio": 0.97,
"target_value": -13.579999999999934
} | 75 |
7f5a9dfb1e236bee4145d5b6dc87f612 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 5}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [74, 91], "expectation_value": -6.1406295786935745, "params": null, "bitstrings": ["10110101", "10100100"], "total_optimization_steps": 63, "probabilities": [0.10520568084598521, 0.7250061271220744], "optimization_time": 81.44513845443726} | -0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -1.0 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(0) @ Z(5)) + -1.0 * (Z(0) @ Z(6)) + -0.5 * Z(1) + 1.5 * Z(5) + -0.5 * Z(2) + 3.0 * Z(6) + 0.5 * Z(3) + 0.0... | 1 | 8 | 2 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["10100100", "11000100"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.757060425932339) q[0];
h q[1];
ry(0.5571476883083074) q[1];
h q[2];
ry(-0.7757331894833571) q[2];
h q[3];
ry(0.5571476883083074) q[3];
h q[4];
h q[5];
cx q[5], q[1];
ry(-0.5571476883083074) q[1];
cx q[5], q[1];
ry(-0.45153744158202225) q[5];
h q[6];
ry(1.5... | null | {"source": 0, "sink": 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(1.5709) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIZIIIZI",
"IIIIIZZI",
"IIZIIZII",
"IZIIIIZI",
"IZZIIIII",
"IZIIIZII",
"ZIIIZIII",
"IIIZZIII",
"ZIIZIIII",
"IIZIIIIZ",
"IZIIIIIZ",
"IIIIIIZI",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII",
"IIIIZIII",
"ZIIIIIII",
"IIIZIIII",
"IIIIIIIZ"
] | [
-0.5,
0.5,
-0.5,
-1,
2,
-1,
-0.5,
0.5,
-0.5,
-0.5,
-1,
-0.5,
1.5,
-0.5,
3,
0.5,
0,
0.5,
-1.5
] | 0.970262 | [
1.551025847539175,
1.1142953766166148,
-1.514120851864678,
-0.9030748831640445,
1.0604963305167354,
1.1320609964259831,
0.4832606820012933,
-1.2695992048912437,
-1.5514663789667142,
0.7560951237958784,
0.6790527832433262,
0.2954535073205394,
0.22125758791669647,
-0.13766859132785303,
-0.... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 9 |
5144181ac27497fdfa9bdb5b8b799630 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [2, 0], "expectation_value": -0.0465287059136857, "params": [[0.0516, 0.020300000000000002], [-0.0541, -0.0269]], "bitstrings": ["01", "11"], "total_optimization_steps": 10, "probabilities": [0.2545269430879782, 0.254841761846454], "optimization_time": 0.6690340042114258} | 0.5 * (Z(0) @ Z(1)) + -1.0 * Z(0) + -1.0 * Z(1) | 1 | 2 | 2 | {"smallest_eigenvalues": [-1.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.5, "smallest_bitstrings": ["11"], "largest_eigenvalue": 2.5} | 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;
input float[64] x4;
input float[64] x5;
bit[2] c;
qubit[2] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
rz(x1) q[0];
rz(x1) q[1];
h q[0];
rz(x2) q[0];
h q[0];
h q[1];
rz(x2) q[1];
h q[1... | null | {"circuits": [], "gradients": []} | [
"ZZ",
"IZ",
"ZI"
] | [
0.5,
-1,
-1
] | 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 |
2bbc60cec4936248b5b957fd90d91e8f | 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": [63, 55], "expectation_value": -42.85642044159451, "params": [-0.0019, 0.0059, 1.4817, 0.0012000000000000001, 2.7007000000000003, 0.0013000000000000002, 2.7042, 0.004, 1.5419, 0.0018000000000000002, 2.6987, 0.0049, 2.6933000000000002, 0.0094, 2.6986000000000003, 0.007500000000000001, 0.009000000000000001, 0.... | 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(0) @ Z(5)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(7) @ Z(2)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(7) @ Z(6)) + 12.5 * Z(2) + 8.0 * Z(1) + 8.5 * Z(4) + 14.5 * Z(3) + 1.5 * Z(5) + -4.0 * Z(0) + 11.5 * Z(6) + 11.5 ... | 18 | 8 | 1 | {"smallest_eigenvalues": [-61.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.0, "smallest_bitstrings": ["11001000"], "largest_eigenvalue": 124.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.38350043330651595) q[0];
rz(0.38415955393099566) q[0];
rx(0.12048746111318168) q[1];
rz(0.20320587209015384) q[1];
rx(3.224347575459329) q[2];
rz(-0.09605514900730422) q[2];
rx(3.031697049993608) q[3];
rz(-0.02567590729328928) q[3];
rx(0.3754220270673352) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIZIZII",
"IIIIZIZI",
"IIIZZIII",
"IIZIIIIZ",
"IZIIIIZI",
"IZIIZIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII"
] | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
12.5,
8,
8.5,
14.5,
1.5,
-4,
11.5,
11.5
] | 0.970211 | [
-0.38350043330651595,
0.4043505169098607,
0.12048746111318168,
0.20320587209015384,
3.224347575459329,
-0.09605514900730422,
3.031697049993608,
-0.02567590729328928,
0.3754220270673352,
0.3468690513184594,
3.137192195178688,
0.20773155728939585,
2.8964037275077135,
-0.19882655997466936,
... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -61,
"target_ratio": 0.97,
"target_value": -59.17
} | 12 |
ea87393c81b1fa2eb1bd7f9a85da6103 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target":... | {"states": [243, 255], "expectation_value": -11.355115432882943, "params": null, "bitstrings": ["100001100", "100000000"], "total_optimization_steps": 100, "probabilities": [0.13334261849077048, 0.402610791059112], "optimization_time": 139.15467405319214} | -2.0 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(0) | 5 | 9 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-pi) q[0];
ry(-0.5202516173214093) q[0];
h q[1];
h q[2];
ry(0.5715278062569107) q[2];
cx q[1], q[2];
ry(-0.5715278062569107) q[2];
cx q[1], q[2];
ry(0.28429659234530147) q[1];
h q[3];
ry(0.7018202336207273) q[3];
cx q[2], q[3];
ry(-0.7018202336207273) q[3];
cx q[2], ... | null | {"node": 0} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5706) q[1], 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... | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIZZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIIIIIZ"
] | [
-2,
-2,
-2,
-2,
-2,
1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.971249 | [
1.1430556125138214,
1.4036404672414546,
0.5685931846906029,
-1.8176420742983512,
3.7049270364913394,
-1.3244826424435634,
0.08033236555832358,
0.021437620927761837,
1.7622398624850033,
4.127657269355664,
-0.031813532343673956,
2.3209746755197376,
3.6446693816459232,
-0.5338543781956805,
... | {
"n_parameters": 48,
"n_qubits": 9,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 428 |
8cffed0a6ee313f29bb5a21cb84f4001 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [215, 199], "expectation_value": -1.2418891924075384, "params": [0.2954, 0.0784, 0.39740000000000003, 0.0159, 0.3997, 0.001, -0.0005, 0.2439, 0.40140000000000003, 0.1409, 0.3362, 0.2305, 0.3996, 0.014100000000000001, 0.4053, 0.0059, 0.39590000000000003, -0.0002, 0.3019, 0.0801, 0.3975, 0.0229, 0.3977, 0.0044... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(7) @ Z(1)) + 0.0625 * (Z(8) @ Z(1)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(7) @ Z(4)) + 0.0625 * (Z(4) @ Z(8)) + 0... | 16 | 9 | 4 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.5625, "smallest_bitstrings": ["110101000", "100110001", "001101100", "100111000", "100101100", "001110100", "010101100", "100101010", "100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.0016199476587019195) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.0016199476587019195) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-1.3526428071839505) q[3];
rx(1.5735684418420288) q[3];
rz(0.0016199476587019195) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIZZIIII",
"IIZIIIIIZ",
"IIIIZIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IIZIZIIII",
"IZIIZIIII",
"ZIIIZIIII",
"IZZIIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIZIZIIZI",
"IZIIZIIZI",
"ZIIIZIIZI",
"IZZIIIIZI",
"ZIZIIIIZI",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
... | 0.986849 | [
0.0016199476587019195,
-1.3526428071839505,
1.491333944975746,
1.4956820672918503,
1.7400025418631098,
1.5735684418420288
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 36 |
bbe413a0841b062dbaa665f6954396a2 | 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": 5}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [2746, 2743], "expectation_value": -2.3732602303485826, "params": [[[0.3899, 0.0114], [0.0083, 0.009300000000000001], [0.6774, 0.007], [0.1327, -0.019100000000000002], [0.6685, 0.0412], [0.0001, 0.0897], [0.3068, 0.1772], [0.4313, 0.2076], [0.2969, 0.46690000000000004], [0.308, 0.6969000000000001], [0.606100... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(0) @ Z(3) @ Z(2)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(4) @ Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(5) ... | 15 | 12 | 4 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -2.75, "smallest_bitstrings": ["100101001000", "011001000100", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.4927064872490579) q[0];
ry(-1.541571540095782) q[1];
ry(1.5557930720993445) q[2];
ry(1.6254513445590038) q[3];
ry(1.395404604614877) q[4];
ry(-1.5536698237352855) q[5];
ry(1.454474172112009) q[6];
ry(1.5942835245391742) q[7];
ry(1.4991717074808872) q[8];
ry(1.5483... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIIIIIZZIZ",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIZIIZIIII",
"IIIIIZZIIIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIIIZZZIIII",
"IIIIZIZZIIII",
"IIIIZZIZIIII",
"IIIIZZZIIIII",
"IIIIZZZZIIII",
"IIIZIIIZIIII",
"IIZIIIIZI... | [
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,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
... | 0.970056 | [
1.4927064872490579,
-1.541571540095782,
1.5557930720993445,
1.6254513445590038,
1.395404604614877,
-1.5536698237352855,
1.454474172112009,
1.5942835245391742,
1.4991717074808872,
1.5483452578550838,
1.5183842869148312,
1.6198617486001652,
-1.5425267623354761,
1.6152782343879717,
1.516127... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 62 |
df291902c871f6dbb60c148e9571c06f | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target":... | {"states": [511, 510], "expectation_value": -0.918646825831341, "params": [[0.0223], [-0.0304]], "bitstrings": ["000000000", "000000001"], "total_optimization_steps": 10, "probabilities": [0.0023680696877388468, 0.0023744990022093342], "optimization_time": 1.0006051063537598} | -3.5 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -4.0 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 1.0 * (Z(4) @ Z(1)) + -3.5 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(3)) + 1.0 * (Z(6) @ Z(1)) + -3.5 * (Z(6) @ Z(0)) + 1.5 * (Z(6) @ Z(2)) + -3.0 * (Z(6) @ Z(3)) + -3.5... | 1 | 9 | 1 | {"smallest_eigenvalues": [-41.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -40.0, "smallest_bitstrings": ["000000001"], "largest_eigenvalue": 31.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.5195591691043847) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.28527407850417524) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.43057299297269147) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.682541815658909) 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;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1],... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"IIZIIZIII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"... | [
-3.5,
1,
-4,
-2.5,
-3,
0.5,
1,
-3.5,
-3,
1,
1,
-3.5,
1.5,
-3,
-3.5,
-3.5,
1.5,
-3,
0.5,
-3.5,
1,
0.5,
1,
-3,
0.5,
1.5,
-3.5,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.535746 | [
-0.5195591691043847,
-0.28527407850417524,
-0.43057299297269147,
-0.682541815658909,
-0.6336429644516204,
-0.10707601252825519,
-0.3502200525585478,
-1.5707962652472778,
-1.0507199017298698
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -41,
"target_ratio": 0.97,
"target_value": -39.769999999999996
} | 239 |
965cefed52e621c4c90674f817650a6a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 1... | {"states": [63, 17], "expectation_value": -5.913765197014922, "params": [[-0.1502, -0.1363, -0.11720000000000001], [0.1728, 0.16970000000000002, 0.168]], "bitstrings": ["1000000", "1101110"], "total_optimization_steps": 20, "probabilities": [0.08166793157668174, 0.1361979432143782], "optimization_time": 3.7537927627563... | -0.75 * (Z(0) @ Z(5)) + -1.5 * (Z(1) @ Z(5)) + -1.5 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(2)) + -0.75 * Z(5) + -0.25 * Z(0) + 0.0 * Z(1) + -0.5 * Z(4) + 2.25 * Z(2) + -0.75 * Z(3) +... | 1 | 7 | 3 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1101110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.1371628149450172) q[0];
rz(0.10881632348659742) q[0];
rx(0.1864024038899948) q[1];
rz(-0.3195045955826069) q[1];
rx(2.9880337255288247) q[2];
rz(0.22207265633894677) q[2];
rx(-0.13106700905450344) q[3];
rz(0.2476665926713589) q[3];
rx(-0.13106700905450344) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"IZIIIZI",
"IZZIIII",
"IIZIIZI",
"IIIIZZI",
"IZIZIII",
"IIIZZII",
"ZIIIIIZ",
"ZIZIIII",
"ZIIIZII",
"IZIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIZIIII",
"IIIIZII",
"IIIZIII",
"ZIIIIII"
] | [
-0.75,
-1.5,
-1.5,
-0.75,
-0.75,
-1.5,
-0.75,
1,
-0.25,
-0.75,
-0.75,
-0.25,
0,
-0.5,
2.25,
-0.75,
0
] | 0.97292 | [
0.1371628149450172,
0.10881632348659742,
0.1864024038899948,
-0.3195045955826069,
2.9880337255288247,
0.22207265633894677,
-0.13106700905450344,
0.2476665926713589,
-0.3079948270469457,
-0.013323840461271053,
0.4235835529470447,
2.634184532901478
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 11 |
5384376261088904827 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 5], [2, 3], [0, 3, 4], [0, 1], [1, 3, 4]]} | {"states": [42, 38], "expectation_value": -1.7420317285514022, "params": null, "bitstrings": ["010101", "011001"], "total_optimization_steps": 34, "probabilities": [0.05616955993933898, 0.8019487166654504], "optimization_time": 30.86440110206604} | 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(... | 1 | 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... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.2292) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"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 |
6d259388045d20d69ae4242ad2e143d7 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [1, 9], "expectation_value": -0.3452944016513666, "params": [[-0.0592, -0.050100000000000006], [0.0703, 0.0626]], "bitstrings": ["11110", "10110"], "total_optimization_steps": 10, "probabilities": [0.0399742167231503, 0.042398563444136776], "optimization_time": 1.7216904163360596} | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 0.25 * Z(1) + 0.5 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["10110"], "largest_eigenvalue": 4.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.2266707306631195) q[0];
h q[1];
ry(1.0272541345090267) q[1];
ry(-0.5861463410328833) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.6625309996307737) q[3];
h q[4];
cx q[4], q[0];
ry(0.2266707306631195) q[0];
cx q[4], q[0];
ry(-1.161710436049223) q[0];
ry(1.320414490855... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIZIZ",
"IZZII",
"IZIIZ",
"IIZZI",
"IZIZI",
"ZIIIZ",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"IIIZI",
"ZIIII"
] | [
-0.5,
-0.75,
-0.5,
-0.25,
-0.25,
1.25,
-0.75,
-1,
-0.25,
0.5,
0.25,
0.5
] | 0.974474 | [
-0.453341461326239,
1.3204144908550612,
-1.0707147283862435,
2.0545082690180534,
0.03783762275645283,
-1.3250619992615473,
-0.18199141532595858,
-1.1961211419101938,
-0.3696846406039731,
-0.5697898662685712,
0.6076384529352682,
-0.454147025534971,
-0.17281825067926812,
-1.0626170488715485
... | {
"n_parameters": 14,
"n_qubits": 5,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 17 |
6d7e5c7b3f86be8f7eca13c50e6c3de8 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [56, 7], "expectation_value": -7.217940978553624, "params": [[-0.0438, -0.036500000000000005, -0.039, -0.0187], [0.0712, 0.0678, 0.0674, 0.0608]], "bitstrings": ["1000111", "1111000"], "total_optimization_steps": 10, "probabilities": [0.022998991378582568, 0.025487676486324842], "optimization_time": 10.12561... | 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": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
rz(-1.5707963530338787) q[0];
rx(1.5707962896601955) q[0];
h q[1];
rz(2.6179939068628233) q[1];
rx(1.5707962896601952) q[1];
h q[2];
rz(1.570796224356533) q[2];
rx(1.5707962896601952) q[2];
h q[3];
rz(2.6179939068628233) q[3];
rx(1.5707962896601952) 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[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
-3.25,
-3.75,
-3.25,
-3.25,
-3,
-2.75,
-2.75
] | 0.84375 | [
9.350486944272168e-10,
1.570796358080628,
-1.5707963530338784,
2.6179939068628233,
1.5707962243565334,
1.5707962896601955
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 161 |
434247303927267147 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[8, 2], [9, 10], [0, 5], [1, 5, 7], [0, 3, 4], [9, 11], [9, 2, 7], [8, 5], [1, 10], [8, 10, 12], [0, 11], [0, 9, 1], [8, 4], [0, 6], [8, 1], [2, 3], [0, 2], [1, 11, 6], [3, 12], [10, 3], [10, 11, 5], [0, 3, 7], [1, 3, 6], [0, 12], [9, 3, 7], [8, 9]]} | {"states": [3529, 3561], "expectation_value": -6.932256662659357, "params": [-0.0022, -0.0022, 1.5716, 1.566, 1.5733000000000001, 1.5745, 0.4995, 0.5021, 1.5649000000000002, 1.5719, 1.5690000000000002, 1.5684, 1.6026, 1.5338, 0.8306, 0.8219000000000001, -0.0022, -0.0022, 1.5719, 1.5743, -0.0029000000000000002, -0.00290... | 0.5 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(8)) + 0.16666666666666666 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(9)) + 0.5 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(5) @ Z(10)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(8)) + 0.166666666... | 13 | 13 | 1 | {"smallest_eigenvalues": [-7.3333333333333375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.333333333333336, "smallest_bitstrings": ["1001000010110"], "largest_eigenvalue": 17.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.01832109868491789) q[0];
rz(0.11797259927843592) q[0];
ry(1.6300324665099666) q[1];
ry(1.4143482344429728) q[2];
ry(0.22892666924514876) q[3];
ry(1.5261079847277046) q[4];
ry(1.495160081333471) q[5];
ry(1.6605129263253884) q[6];
ry(1.3286480644494612) q[7];
ry(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIZII",
"IIIZIIIIIIZII",
"IIIZZIIIIIIII",
"IIZIZIIIIIIII",
"IIZZIIIIIIIII",
"IIIIIIIIIIZIZ",
"IIIZIIIIIIIIZ",
"IIIIZIIZIIIII",
"IIZIIIIZIIIII",
"IIIIIIIZIIIIZ",
"IIIIZIIIIIIZI",
"IIIZIIIIIIIZI",
"IIZIIIIIIIIZI",
"IIIIIIIIIIIZZ",
"IIIIIIIZIIIZI",
"IIIIIZIIIIZII",
"IIIZIZIIIII... | [
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.166666... | 0.972505 | [
0.01832109868491789,
1.6300324665099666,
1.4143482344429728,
0.22892666924514876,
1.5261079847277046,
1.495160081333471,
1.6605129263253884,
1.3286480644494612,
1.5547077215697371,
-0.012879232320791585,
0.30646340803317174,
1.6939083333032512,
0.23594519855687185,
0.12000391023431173,
-... | {
"n_parameters": 47,
"n_qubits": 13,
"optimal_eigenvalue": -7.3333333333333375,
"target_ratio": 0.97,
"target_value": -7.113333333333337
} | 24 |
49431655f39ba316375c5cbb8cf0bd22 | 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": [125, 93], "expectation_value": -59.593077584162536, "params": [-0.0032, 0.9318000000000001, 1.3986, -0.0892, 0.777, -0.3007, 1.3975, -0.021400000000000002, 1.3920000000000001, -0.031, 1.3687, -0.2199, 0.7619, 0.5525, 1.0234, 0.5097, -0.0032, 0.0004, 1.3986, 0.0067, 0.7811, 0.0085, 1.3907, 0.0024000000000000... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(2) @ Z(5)) + 6.5 * (Z(2) @ Z(4)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(3) @ Z(5)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(6) @ Z(3)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(7) @ Z(6)) + 13.0 * Z(1) + -5.5 * Z(0) + 12.0 * Z(5) + 22.0 * Z(4) + ... | 18 | 8 | 2 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.0, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 172.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.03609060688900501) q[0];
rz(0.8799755812656329) q[0];
rx(1.5696966879767167) q[1];
rz(0.07100904395252303) q[1];
rx(0.139119851224552) q[2];
rz(-0.39657084474333926) q[2];
rx(1.3717474804171086) q[3];
rz(-0.034686916130875586) q[3];
rx(1.3830570409405314) 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], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIZZIIII",
"IIZIIZII",
"IIIZIZII",
"IIIIZIZI",
"IIZIZIII",
"IIIZZIII",
"IIIIZZII",
"IZIIIIZI",
"IZIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"IIIZIIII",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
13,
-5.5,
12,
22,
10.5,
26.5,
9.5,
6
] | 0.974673 | [
0.03609060688900502,
1.0021921960037024,
1.5696966879767167,
0.07100904395252303,
0.139119851224552,
-0.39657084474333926,
1.3717474804171086,
-0.034686916130875586,
1.3830570409405314,
-0.04676471566665795,
2.2176000118702643,
-0.1995428371261956,
-0.06189226473315139,
0.563173730644258,
... | {
"n_parameters": 43,
"n_qubits": 8,
"optimal_eigenvalue": -78,
"target_ratio": 0.97,
"target_value": -75.66
} | 19 |
3548e6a53fe7f33eccefb9f4fe0aae2f | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 4, "source": 3, ... | {"states": [8186, 8187], "expectation_value": -34.32860442520825, "params": [-0.0021000000000000003, 0.7613000000000001, 0.0023, 0.0047, -0.0021000000000000003, 0.2959, 0.0023, 0.0029000000000000002, 1.7715, -0.2102, 1.3766, 0.0005, 1.5961, -0.2082, 1.5419, 0.008400000000000001, 1.7711000000000001, -0.2102, 1.3771, 0.0... | 2.0 * (Z(2) @ Z(3)) + 2.0 * (Z(4) @ Z(3)) + 1.0 * (Z(4) @ Z(2)) + 1.0 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(5)) + -1.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(7)) + 2.0 * (Z(9) @ Z(10)) + 4.0 * (Z(11) @ Z(10)) + 2.0 * ... | 5 | 15 | 1 | {"smallest_eigenvalues": [-35.33333333333283], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.333333333333286, "smallest_bitstrings": ["110000000000100"], "largest_eigenvalue": 79.66666666666653} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(1.20128190913001) q[0];
ry(0.06916472163768679) q[1];
ry(0.015663676468062392) q[2];
ry(0.19038815846766552) q[3];
ry(-0.15396474331331922) q[4];
ry(0.17130891105735244) q[5];
ry(-2.0689069311650736) q[6];
ry(3.088672280705279) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZII",
"IIIIIIIIIIZZIII",
"IIIIIIIIIIZIZII",
"IIIIIIIIIZIZIII",
"IIIIIIIIIZIIZII",
"IIIIIIIIIZZIIII",
"IIIIIIIIZZIIIII",
"IIIIIIIZIZIIIII",
"IIIIIIIZZIIIIII",
"IIIIIIZIIZIIIII",
"IIIIIIZIZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIZZIIIIIIIII",
"IIIZZIIIIIIIIII",
"IIIZIZIIIIIIIII",
"... | [
2,
2,
1,
1,
0.5,
0.5,
-0.5,
-1,
1,
-0.5,
0.5,
1,
2,
4,
2,
1,
0.5,
1,
-1,
-0.5,
-1,
-0.5,
-1,
-0.5,
-1,
-0.5,
0.5,
-0.3333333333333333,
9,
4.5,
4.5,
1,
1.5,
3,
1.5,
9,
4.5,
9,
2.5,
-2,
-2,
-1,
-0.5
] | 0.970012 | [
1.20128190913001,
0.06916472163768679,
0.015663676468062392,
0.19038815846766552,
-0.15396474331331922,
0.17130891105735244,
-2.0689069311650736,
3.088672280705279,
0.961256083889363,
-2.2180829622012572,
0.06259172568247467,
-0.019184601799460674,
0.022320144500481698,
0.13323763239951938... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 87 |
ed46de376d1660326c9e503ea9950a07 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"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, "target": 3}, ... | {"states": [2, 3], "expectation_value": -25.22512108535395, "params": [[[0.1129, 0.261], [0.11380000000000001, -0.2619], [0.0088, -0.2823], [0.1022, -0.26480000000000004], [0.10940000000000001, 0.2611], [0.5993, -0.0002], [0.596, 0.0001]], [[0.11670000000000001, 0.261], [0.11560000000000001, 0.26230000000000003], [0.01... | 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... | 1 | 7 | 3 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.06885345192683487) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.06885345192683487) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.06885345192683487) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.06885345192683487) q[3];
cx q[1], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"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,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
-10,
-10,
-10.5,
-10,
-10,
-9.25,
-9.25
] | 0.975493 | [
0.06885345192683487,
0.22761518371396905,
1.6693107203407738,
1.8112030378322537,
-0.6694555841207032,
0.46345917959819155,
-0.0049250157682909634,
-0.1730709160346522,
0.046383083187558294,
-0.13700343575253615,
-0.6684023739074303,
1.0372311699561239,
0.5016828164711846,
0.47691842854795... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -31,
"target_ratio": 0.97,
"target_value": -30.07
} | 39 |
b870bf177a3da6a6ab4722ca2196f1d4 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [104, 42], "expectation_value": -2.2714650548847635, "params": [[-0.0799, -0.08600000000000001, -0.08310000000000001], [0.0746, 0.0792, 0.0771]], "bitstrings": ["0010111", "1010101"], "total_optimization_steps": 10, "probabilities": [0.01896292709182946, 0.019625490034066585], "optimization_time": 9.99024224... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + -2.5 * Z(4) + -0.5 * Z(0) + -1.0 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["1010101", "0010111"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.13979582898122853) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.13979582898122853) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(0.13979582898122853) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(0.1397958... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIZIIIZ",
"IZZIIII",
"IZIIIIZ",
"IIZIIZI",
"IIZIZII",
"IZIIZII",
"IIIIZZI",
"ZIZIIII",
"ZIIIIZI",
"ZIIIZII",
"IIZZIII",
"IIIZZII",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-0.5,
-1,
-1,
-2,
-1.5,
-1
] | 0.970674 | [
0.13979582898122853,
0.5451974851045387,
0.896311297188517,
-0.7414798324997988,
0.5352231120965443,
0.15835998395847423,
0.19561446837986352,
-0.10248641959100045,
1.145938659979391,
0.49965126800794935,
-0.9225964103626579,
0.7782952451572615,
1.5157746098993041,
1.5283742643698681
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 51 |
644649159341150077 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 3, 6], [1, 2, 4, 5, 6, 9, 11], [9, 7], [4, 7], [0, 1, 5, 7, 8], [0, 3, 11], [0, 1, 2, 5, 6, 8, 9], [0, 2, 5, 9, 10, 11], [1, 4, 6, 9, 10], [0, 4, 5, 6, 8, 11], [8, 9, 3, 6]]} | {"states": [3187, 3315], "expectation_value": -2.3683356351854217, "params": [[[2.8996, 0.0001], [2.887, 0.0033], [1.3105, 0.0049], [1.2832000000000001, 0.0085], [1.5795000000000001, 0.0098], [2.8302, 0.0041], [2.8968000000000003, 0.008700000000000001], [2.8981000000000003, 0.0024000000000000002], [1.3166, 0.0043], [0.... | 0.16666666666666666 * (Z(4) @ Z(5)) + 0.25 * (Z(8) @ Z(5)) + 0.21428571428571427 * (Z(8) @ Z(4)) + 0.047619047619047616 * (Z(1) @ Z(4)) + 0.09761904761904762 * (Z(1) @ Z(8)) + 0.023809523809523808 * (Z(6) @ Z(4)) + 0.10714285714285715 * (Z(6) @ Z(8)) + 0.07380952380952381 * (Z(6) @ Z(1)) + 0.08095238095238094 * (Z(7) @... | 1 | 12 | 1 | {"smallest_eigenvalues": [-3.05], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.049999999999999, "smallest_bitstrings": ["001100001100"], "largest_eigenvalue": 9.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(3.0726446015789755) q[0];
rz(-0.014627066475747463) q[0];
rx(3.2344927176402107) q[1];
rz(-0.19325283407583466) q[1];
rx(1.4936717946970925) q[2];
rz(-0.46855057550188056) q[2];
rx(-0.14209368440339842) q[3];
rz(-0.06941647187799754) q[3];
rx(3.342905997215729) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZIIII",
"IIIZIIZIIIII",
"IIIZIIIZIIII",
"IIIIIIIZIIZI",
"IIIZIIIIIIZI",
"IIIIIZIZIIII",
"IIIZIZIIIIII",
"IIIIIZIIIIZI",
"IIIIZIIZIIII",
"IIIZZIIIIIII",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"ZIIIIIZIIIII",
"ZIIIIIIZIIII",
"ZIIZIIIIIIII",
"ZIIIIIIIIIZI",
"ZIIIIZIIIIII",
"ZIIIZIIII... | [
0.16666666666666666,
0.25,
0.21428571428571427,
0.047619047619047616,
0.09761904761904762,
0.023809523809523808,
0.10714285714285715,
0.07380952380952381,
0.08095238095238094,
0.08095238095238094,
0.09761904761904762,
0.05714285714285714,
0.08333333333333333,
0.08095238095238094,
0.18095... | 0.987078 | [
3.0726446015789755,
-0.014627066475747463,
3.2344927176402107,
-0.19325283407583466,
1.4936717946970925,
-0.46855057550188056,
-0.14209368440339842,
-0.06941647187799754,
3.342905997215729,
-0.32693855210186795,
3.1855409388249516,
-0.15714443503412728,
3.171215760149619,
-0.24017480207580... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -3.05,
"target_ratio": 0.97,
"target_value": -2.9585
} | 23 |
4178481052187267646 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 2, 7], [0, 8], [1, 7], [8, 3], [0, 4], [8, 5], [1, 6]]} | {"states": [145, 23], "expectation_value": -2.9167273895630315, "params": null, "bitstrings": ["101101110", "111101000"], "total_optimization_steps": 76, "probabilities": [0.038695298396817256, 0.6957402466058205], "optimization_time": 135.08309483528137} | 0.16666666666666666 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(8)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(1)) + 0.16666666666666666 * Z(2) + 0.16666666666666674 * Z(8) + 0.16666666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.3333333333333335, -3.3333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.3333333333333326, "smallest_bitstrings": ["111101000", "100101110"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[8];
rz(0.28444780661741464) q[8];
cx q[2], q[8];
cx q[2], q[7];
rz(0.28444780661741464) q[7];
cx q[2], q[7];
rz(0.28444780661741476) q[2];
rx(-0.7913669229836261) q[2];
cx q[8], q[7];
rz(... | 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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... | [
"ZIIIIIZII",
"IZIIIIZII",
"ZZIIIIIII",
"ZIIIIIIIZ",
"IZIIIIIZI",
"ZIIIIZIII",
"IIIIZIIIZ",
"ZIIZIIIII",
"IIZIIIIZI",
"IIIIIIZII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666674,
0.16666666666666663,
0,
0,
0,
0,
0,
0
] | 0.531833 | [
0.28444780661741464,
0.9218315702135251,
-0.05381389299403634,
-0.7913669229836263
] | {
"n_parameters": 4,
"n_qubits": 9,
"optimal_eigenvalue": -3.3333333333333335,
"target_ratio": 0.97,
"target_value": -3.2333333333333334
} | 115 |
2811d61d5f2af44ed340d40c20ed9351 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [14, 7], "expectation_value": -4.9890656587998095, "params": null, "bitstrings": ["1110001", "1111000"], "total_optimization_steps": 31, "probabilities": [0.06023624493013055, 0.8645378003119564], "optimization_time": 27.185932159423828} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * Z(1) + -2.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(5) + -0.5 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100101", "1101100", "1111000", "1110001"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.008865039116866) q[0];
rz(0.046061827352180805) q[0];
ry(-0.1178852825250914) q[1];
rz(0.27829789344262645) q[1];
cz q[1], q[0];
ry(0.7395785684145371) q[0];
rz(0.25930506959302635) q[0];
ry(1.8785794145123382) q[1];
ry(-0.013192767967563551) q[2];
rz(-0.168361338... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IZIIIZI",
"IZIIIIZ",
"ZIIIIIZ",
"ZIIZIII",
"IIZIIZI",
"IIZIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-2,
-1,
-1,
-0.5,
-0.5,
-0.5
] | 0.97575 | [
1.008865039116866,
0.046061827352180805,
-0.1178852825250914,
0.27829789344262645,
-0.013192767967563551,
-0.16836133853821558,
0.7624316037340955,
-0.08143741373555383,
0.0010459890769583327,
-0.22073670180141544,
0.6737350169334692,
0.06213864785606113,
-0.11555027206492512,
0.0518644535... | {
"n_parameters": 117,
"n_qubits": 11,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 91 |
b6acc179a4a15da3d535b4a626064489 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 4... | {"states": [63, 61], "expectation_value": -0.5497699034463333, "params": [[0.015000000000000001, -0.0346, -0.0604], [-0.054400000000000004, 0.004, 0.053000000000000005]], "bitstrings": ["1000000", "1000010"], "total_optimization_steps": 10, "probabilities": [0.010356722129860505, 0.010502047543191027], "optimization_ti... | -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + 0.75 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + -0.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(6)) + -0.75 * Z(5) + -0.25 * Z(0) + 1.25 * Z(1) + 1.0 * Z(2) + -0.25... | 1 | 7 | 3 | {"smallest_eigenvalues": [-9.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.0, "smallest_bitstrings": ["1000010"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(0.3034667748162365) q[0];
ry(-0.07442258432305349) q[1];
ry(0.0687231461191891) q[2];
ry(-0.05385852511325843) q[3];
ry(0.147646440418712) q[4];
ry(0.147646440418712) q[5];
ry(-0.01142159409353806) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], 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": 6} | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"IZIIIZI",
"IIIIZZI",
"IZZIIII",
"IIZIZII",
"ZIIIIIZ",
"ZIIIZII",
"ZIZIIII",
"IIIZIZI",
"IIZZIII",
"ZIIZIII",
"IZIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII"
] | [
-0.5,
-0.5,
-1,
-0.25,
-0.75,
0.75,
-1.25,
-0.5,
-0.25,
-1.25,
-1.5,
-0.75,
-0.25,
1.25,
1,
-0.25,
-2.5,
1.5
] | 0.974572 | [
0.3034667748162365,
-0.07442258432305349,
0.0687231461191891,
-0.05385852511325843,
0.147646440418712,
-0.01142159409353806,
0.07066125296599378,
0.042559931842685965,
-0.013597990498522415,
-0.042688937240018016,
-0.02389108747559633,
-0.016411155865240244,
-0.14788340467558186,
-0.188696... | {
"n_parameters": 49,
"n_qubits": 7,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 39 |
8f4da54127eaef3ad4283690d95e9ab5 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [63, 31], "expectation_value": -14.027815213912966, "params": [[[-1.6273, 0.0078000000000000005], [0.0025, 0.0098], [0.0026000000000000003, 0.0046], [0.0026000000000000003, 0.0012000000000000001], [0.0022, 0.0014], [3.1577, 0.005200000000000001]]], "bitstrings": ["000000", "100000"], "total_optimization_step... | -2.5 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(5) + -0.5 * Z(0) | 2 | 6 | 1 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-3.1415925297822342) q[0];
ry(0.5802529279415203) q[0];
rz(-1.5707964748326868) q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.6647370029919717) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.7799974894191006) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.6647370029919717... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIZZI",
"IIZZII",
"IIZIZI",
"IZIZII",
"IZIIZI",
"IZZIII",
"ZIIZII",
"ZIIIZI",
"ZIZIII",
"ZZIIII",
"IIIZII",
"IIIIZI",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIIIZ"
] | [
-2.5,
-2,
-2.5,
0.5,
-2.5,
0.5,
-2,
-2.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.537797 | [
-0.6647370029919717,
-0.7799974894191006,
-0.11887186869582353,
-0.4450316216851595,
-1.5707964079544663,
-0.9905433988533814
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -14.5,
"target_ratio": 0.97,
"target_value": -14.065
} | 162 |
7b9d379e9919bdeb97a3941fc421914c | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [807, 805], "expectation_value": -58.26488560377609, "params": [1.197, 0.0073, 2.4010000000000002, 0.0058000000000000005, 2.4078, 0.008, 1.3778000000000001, 0.0077, 0.0018000000000000002, 0.0014, 2.4098, 0.0044, 1.3342, 0.0045000000000000005, 0.0029000000000000002, 0.006200000000000001, 2.4063000000000003, 0... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(4) @ Z(8)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(9) @ Z(2)) + 6.5 * (Z(10) @ Z(3)) + 6.5 * (Z(10) @ Z(9)) + 3.0 * Z(0) + 8.5 * Z(1) + 4.0 * Z(3) + 9.0 * Z(2) + 3.5 * Z(6) + 10.0 * Z(5) + 6.0 * Z(8) + -5.5 *... | 18 | 11 | 1 | {"smallest_eigenvalues": [-104.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -87.5, "smallest_bitstrings": ["10011011010"], "largest_eigenvalue": 122.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.48281064863695394) q[0];
rz(0.38304286154446254) q[0];
rx(3.1821425334564832) q[1];
rz(-1.1286910361622038) q[1];
rx(3.0773230833986664) q[2];
rz(0.1245929184608058) q[2];
rx(0.14962419912923833) q[3];
rz(-0.33211525545996423) q[3];
rx(-0.0461391264850701) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIZIIIIZI",
"IIIIIZIIIIZ",
"IIIIZZIIIII",
"IIZIIIZIIII",
"IIZZIIIIIII",
"IZIIIIIIZII",
"ZIIIIIIZIII",
"ZZIIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIIIIZIIII",
"IIIZIIIII... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
3,
8.5,
4,
9,
3.5,
10,
6,
-5.5,
-5.5,
4.5,
10
] | 0.971193 | [
0.48281064863695405,
0.06604572916343938,
3.1821425334564832,
-1.1286910361622038,
3.0773230833986664,
0.1245929184608058,
0.14962419912923833,
-0.33211525545996423,
-0.0461391264850701,
0.2942305437388603,
3.3299437560044747,
0.16023531594408263,
0.42939387931775314,
-0.39700827333764377,... | {
"n_parameters": 30,
"n_qubits": 11,
"optimal_eigenvalue": -104.5,
"target_ratio": 0.97,
"target_value": -101.365
} | 25 |
34fec832591d56601cbd146a15fec9ed | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 4}, {"weight": 18, "source": 1, "target": 3}, {"weight": 16, "source": 1, "target": 4}, {... | {"states": [235, 122], "expectation_value": -23.792319446139665, "params": null, "bitstrings": ["00010100", "10000101"], "total_optimization_steps": 100, "probabilities": [0.17065210880582868, 0.1899243564462108], "optimization_time": 153.42702984809875} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 13.5 * Z(1) + 10.0 * Z(0) + 17.0 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 142.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.08399526504899095) q[0];
rz(0.2825788937886795) q[0];
rx(0.7951459296419685) q[1];
rz(0.2003437432581271) q[1];
rx(1.0221893354097433) q[2];
rz(-0.3092263127594003) q[2];
rx(1.0231214214866293) q[3];
rz(0.10389188217607151) q[3];
rx(0.970134509765303) q[4];
rz(0.1... | null | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-3.4097) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIZII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
10,
17,
20,
13.5,
5,
5,
6
] | 0.974076 | [
-0.08399526504899095,
0.11179873042160347,
0.7951459296419685,
0.2003437432581271,
1.0221893354097433,
-0.3092263127594003,
1.0231214214866293,
0.10389188217607151,
0.970134509765303,
0.1704895690175754,
0.36114319075678797,
0.4543183591063792,
0.6989834795043587,
-0.038232563756867066,
... | {
"n_parameters": 93,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 9 |
c5d57071b024d109c38c43678d62eaf1 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}]} | {"states": [24, 56], "expectation_value": -2.7791339144776224, "params": [[0.065, 0.040400000000000005, 0.0454, 0.0618], [-0.0678, -0.0391, -0.0368, -0.053500000000000006]], "bitstrings": ["100111", "000111"], "total_optimization_steps": 10, "probabilities": [0.028983759425245795, 0.029319907363981733], "optimization_t... | 0.9 * (Z(0) @ Z(1)) + 1.8 * (Z(2) @ Z(1)) + 0.9 * (Z(2) @ Z(0)) + -0.1 * (Z(3) @ Z(4)) + -0.2 * (Z(5) @ Z(4)) + -0.1 * (Z(5) @ Z(3)) + 4.5 * Z(1) + 2.25 * Z(0) + 4.5 * Z(2) + -0.5 * Z(4) + -0.25 * Z(3) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-9.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.4, "smallest_bitstrings": ["000111"], "largest_eigenvalue": 15.700000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.770690699219718) q[0];
h q[1];
ry(1.4871712470846223) q[1];
ry(-2.708001184483433) q[2];
rz(-pi) q[2];
cx q[1], q[2];
ry(-0.4298731353811252) q[2];
cx q[1], q[2];
cx q[1], q[0];
ry(-0.770690699219718) q[0];
cx q[1], q[0];
ry(0.1454074864826947) q[0];
ry(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": 2} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZZIII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.9,
1.8,
0.9,
-0.1,
-0.2,
-0.1,
4.5,
2.25,
4.5,
-0.5,
-0.25,
-0.5
] | 0.998049 | [
0.707331722307411,
1.4871712470846223,
0.8597462707622504,
-1.3799562985781975,
-1.4711756176015598,
1.541381398439436,
-1.3965271552689695,
-0.16148817852256322,
-0.2575056935640775,
0.2663957319896916,
-0.1803796305048725,
0.0016697777359003935,
-0.24197649101399368
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -9.3,
"target_ratio": 0.97,
"target_value": -9.021
} | 1 |
267f594e5cb21532a1a860c7d4e0717d | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [57, 27], "expectation_value": -4.499860781211486, "params": null, "bitstrings": ["1000110", "1100100"], "total_optimization_steps": 32, "probabilities": [1.718434910041944e-05, 0.999910952118791], "optimization_time": 28.58724045753479} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.5 * Z(0) + 0.0 * Z(2) + -1.0 * Z(4) + 0.0 * Z(6) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100100", "1001010"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.24748745819808826) q[0];
rz(-0.17713756506993983) q[0];
rx(-0.1790047299186118) q[1];
rz(0.10654864048877083) q[1];
cx q[1], q[0];
rz(0.011708463917440626) q[0];
cx q[1], q[0];
rz(1.4748675647452902) q[0];
ry(1.210001108655402) q[0];
rz(-1.8286665049021005) q[0];
r... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIIZ",
"ZIIIIIZ",
"IIIZIZI",
"IIZZIII",
"IZIIIZI",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
0,
-1,
0,
-0.5,
-0.5
] | 0.970926 | [
0.2474874581980883,
-0.1654291011524992,
-0.1790047299186118,
0.10654864048877083,
0.6162612157337666,
0.002052278197618773,
-0.04559442540123893,
0.3771343868759495,
0.43625683568421697,
0.17681883646965665,
0.0163352835731005,
-0.04645655951074808,
-0.033049571212274566,
0.22684970955432... | {
"n_parameters": 138,
"n_qubits": 8,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 9 |
a11609c04bedd6222d4b4ded1bbb7721 | 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": 2}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": ... | {"states": [1344, 1348], "expectation_value": -23.17861724604584, "params": [-0.0034000000000000002, 0.4393, -0.0015, 0.4374, -0.8254, -0.1302, -0.8355, 0.08660000000000001, -0.0066, 0.5422, 0.0024000000000000002, 0.6581, 0.7767000000000001, 0.0252, 0.7938000000000001, 0.0181, -0.0026000000000000003, 0.6579, -0.0018000... | -1.0 * (Z(0) @ Z(4)) + -0.75 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(0)) + -1.0 * (Z(8) @ Z(4)) + -1.25 * (Z(8) @ Z(0)) + -0.75 * (Z(10) @ Z(4)) + -1.25 * (Z(10) @ Z(8)) + -1.5 * (Z(1) @ Z(10)) + -1.25 * (Z(11) @ Z(4)) + -0.25 * (Z(11) @ Z(8)) + -0.75 * (Z(11) @ Z(1)) + -0.25 * (Z(5) @ Z(10)) + 4.0 * (Z(3) @ Z(0)) + -1.5 * ... | 6 | 12 | 2 | {"smallest_eigenvalues": [-24.75, -24.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -23.75, "smallest_bitstrings": ["111010111011", "101010111011"], "largest_eigenvalue": 23.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.04341353099908913) q[0];
rz(1.4803452010489657) q[0];
rx(-1.0483609027463732) q[1];
rz(1.416354627749353) q[1];
rx(-0.11806860400706572) q[2];
rz(2.3454650424391623) q[2];
rx(0.5062560721823482) q[3];
rz(1.0294299295091633) q[3];
rx(-0.026438808627606454) 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIZ",
"IIIIIZIZIIII",
"IIIIIZIIIIIZ",
"IIIZIIIZIIII",
"IIIZIIIIIIIZ",
"IZIIIIIZIIII",
"IZIZIIIIIIII",
"IZIIIIIIIIZI",
"ZIIIIIIZIIII",
"ZIIZIIIIIIII",
"ZIIIIIIIIIZI",
"IZIIIIZIIIII",
"IIIIIIIIZIIZ",
"IIIIIIZIZIII",
"IIZIIZIIIIII",
"ZIZIIIIIIIII",
"IIZIIIZIIIII",
"IIZIIIIIZ... | [
-1,
-0.75,
-1.5,
-1,
-1.25,
-0.75,
-1.25,
-1.5,
-1.25,
-0.25,
-0.75,
-0.25,
4,
-1.5,
-0.5,
-0.25,
-1.25,
-1.25,
-1.5,
-0.75,
-1.5,
-1,
-0.75,
-0.75,
-0.25,
-2.75,
-0.25,
-0.25,
0.75,
-0.5,
2.25,
0.75,
0.5,
0.5,
1.5,
-1.25,
-1.25
] | 0.971473 | [
-0.04341353099908914,
-0.09045112574593189,
-1.0483609027463732,
-0.15444169904554422,
-0.11806860400706572,
0.7746687156442645,
0.5062560721823482,
-0.5413663972857328,
-0.026438808627606458,
0.8460889602695133,
0.16378967260581861,
-0.10406974432254994,
-0.09283107934346807,
0.1111966216... | {
"n_parameters": 106,
"n_qubits": 12,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 81 |
-1857830723659004417 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 4, 5], [1, 2, 3], [3, 5, 6], [0, 2], [3, 4, 6]]} | {"states": [30, 55], "expectation_value": -0.482134803173418, "params": [[-0.2868], [0.279]], "bitstrings": ["1100001", "1001000"], "total_optimization_steps": 30, "probabilities": [0.016020062872774597, 0.01607525099887183], "optimization_time": 3.472659111022949} | 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.833333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8333333333333328, "smallest_bitstrings": ["1001000"], "largest_eigenvalue": 4.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.2072929836101618) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(-0.2072929836101618) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[3];
rz(-0.2072929836101618) q[3];
cx q[4], q[3];
rz(-0.2072929836101618) q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(x0) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IZZIIII",
"IZIIIIZ",
"IIIIZIZ",
"IIIIZZI",
"IIZZIII",
"IZIZIII",
"IIIZZII",
"IIIZIZI",
"ZIZIIII",
"ZZIIIII",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666663,
0.3333333333... | 0.608116 | [
-0.2072929836101618,
-1.3027447108506434,
-0.5118163452914491,
0.8202664441722279
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -1.833333333333333,
"target_ratio": 0.97,
"target_value": -1.778333333333333
} | 118 |
b4844a241e7c75ea7eb690acd3c4c004 | vertex_cover | 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": [1, 2], "expectation_value": -0.8831399904840991, "params": null, "bitstrings": ["110", "101"], "total_optimization_steps": 8, "probabilities": [0.12891599074045149, 0.7538151034229991], "optimization_time": 2.222743511199951} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) | 1 | 3 | 2 | {"smallest_eigenvalues": [-1.0, -1.0, -1.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": 0.0, "smallest_bitstrings": ["110", "101", "011"], "largest_eigenvalue": 3.0} | 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 | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) 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];\nry(-1.4449) q[0];\ncry(-1.0398... | [
"IZZ",
"ZZI",
"ZIZ",
"IZI",
"IIZ",
"ZII"
] | [
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5
] | 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 |
1945c14bbcec92b7e4f7655d5da7795f | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [128, 1], "expectation_value": -8.257007480993849, "params": null, "bitstrings": ["01111111", "11111110"], "total_optimization_steps": 22, "probabilities": [0.16181872014306584, 0.644917025833557], "optimization_time": 26.31341004371643} | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(6)) + -0.75 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["10000000", "11111110", "10011010", "10111110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7829208339556055) q[0];
h q[1];
h q[2];
ry(-1.565841667911211) q[2];
h q[3];
ry(-1.565841667911211) q[3];
h q[4];
ry(-1.6049620459691951) q[4];
ry(-0.02737154603416445) q[5];
rz(-pi) q[5];
h q[6];
ry(-1.5671790015514286) q[6];
h q[7];
cx q[7], q[0];
ry(0.7... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[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... | [
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIZII",
"IIZIIIIZ",
"IZIIIIIZ",
"IZIZIIII",
"IZZIIIII",
"IIIIIZZI",
"IIIZIIZI",
"IIIIZZII",
"IIIZZIII",
"IIZIZIII",
"IZIIZIII",
"IIIIZIZI",
"ZIIIIZII",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIIIIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
-0.75,
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
-0.75,
-0.5,
-0.75,
-0.75,
-0.75,
-0.75,
2,
-0.5,
-0.5,
-0.25,
-0.25,
0,
1.5,
-0.5,
1.25,
-2,
0.25
] | 0.971076 | [
-1.565841667911211,
-1.5671790015514286,
-1.6049620459691951,
0.6420941017453372,
-0.27825456102521207,
0.670535929579305,
-0.3414240103559716,
-1.3886537724625685,
-0.8050574439941292,
-0.281509916078036,
-0.3095420165963274,
-0.05839965564258676
] | {
"n_parameters": 12,
"n_qubits": 8,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 4 |
7288b540a0bf8f3c418c58c322e09934 | 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": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [34, 98], "expectation_value": -4.039239553085523, "params": [0.0012000000000000001, 0.2129, 0.39180000000000004, 0.10600000000000001, 0.4035, 0.0023, 0.0694, 0.2122, -0.0064, 0.194, 0.3986, 0.23950000000000002, 0.392, 0.24780000000000002, 0.38370000000000004, 0.02, 0.0022, 0.21710000000000002, 0.3946, 0.123... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * Z(1) + -1.5 * Z(0) + -1.0 *... | 3 | 8 | 4 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.5, "smallest_bitstrings": ["11011100", "10101011", "10011101", "10011011", "11011010", "01100111"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.09393408954845998) q[0];
rz(0.005202427292921641) q[0];
rx(0.6479666501056351) q[1];
rz(0.2715522844011544) q[1];
rx(0.6714073978646411) q[2];
rz(0.1013318518966475) q[2];
rx(-0.04730207417219033) q[3];
rz(-0.1953123495467466) q[3];
rx(-0.20179400906606798) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIZIIIIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"IIIZIIZI",
"IIIZIZII",
"IIZZIIII",
"IIIIZZII",
"ZIIIZIII",
"IZZIIIII",
"IZIZIIII",
"IZIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"ZIIIIIII",
"IIIZIIII",
"IIIIZIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-1,
-1,
-1,
-1.5,
-1,
-1
] | 0.971451 | [
-0.09393408954846,
-0.29131473287835197,
0.6479666501056351,
0.11731228922676742,
0.6714073978646412,
0.20248299336454167,
-0.047302074172190324,
-0.040002493274735144,
-0.20179400906606798,
-0.0372398821319264,
0.5863656074877258,
0.2067483795006979,
0.8992382323676074,
0.2498541770495521... | {
"n_parameters": 90,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 18 |
f0da153570ec19fd3e6a04b2d2085009 | 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": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": ... | {"states": [894, 1023], "expectation_value": -19.211423297141, "params": null, "bitstrings": ["0010000001", "0000000000"], "total_optimization_steps": 100, "probabilities": [0.06362747308841464, 0.4471114887216389], "optimization_time": 199.36831188201904} | -3.5 * (Z(0) @ Z(1)) + 1.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(0)) + -3.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(4)) + -3.0 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 1.0 * (Z(5) @ Z(3)) + -3.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -3.0 * (Z(6) @ Z(3)) + -3.0 * (Z(6) @ Z(5)) + -3.0... | 5 | 10 | 1 | {"smallest_eigenvalues": [-29.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.0, "smallest_bitstrings": ["0000000000"], "largest_eigenvalue": 29.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
ry(0.7654593999292734) q[1];
h q[2];
h q[3];
ry(0.7119900002349819) q[3];
h q[4];
h q[5];
ry(0.8329161583281238) q[5];
h q[6];
cx q[6], q[1];
ry(-0.7654593999292734) q[1];
cx q[6], q[1];
cx q[1], q[3];
ry(-0.7119900002349819) q[3];
cx q[1], q[3];
cx q[1... | null | {"node": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[6], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... | [
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIZIII",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZIZIIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZIIIZIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IZIIIIIZII"... | [
-3.5,
1,
-2,
-3.5,
1,
-2.5,
-3,
0.5,
1,
-3.5,
0.5,
0.5,
-3,
-3,
-3,
0.5,
0.5,
-2,
1,
-1.5,
-1.5,
0.5,
1,
0.5,
0.5,
1,
1,
-2,
0.5,
0.5,
0.5,
0.5
] | 0.939681 | [
1.5309187998585467,
1.4239800004699639,
1.6658323166562476,
0.4604340297327404,
-0.6660042183763856,
2.4447149067034073,
-1.8381229415529463,
1.0136778505962762,
-0.018453247421978937,
0.00925197337292713,
3.5187611716551155,
-1.0682876627935294,
-0.044426091789223146,
-1.8495813751388304,... | {
"n_parameters": 75,
"n_qubits": 10,
"optimal_eigenvalue": -29,
"target_ratio": 0.97,
"target_value": -28.13
} | 500 |
e4fca27778e0f82d902d4f830d478842 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [338, 370], "expectation_value": -97.83786669690755, "params": [[-0.012700000000000001, 0.002, 0.7938000000000001, 0.07400000000000001, 0.8873000000000001, 0.2164, 0.8965000000000001, 0.1253, -0.0211, 0.7864, 0.0018000000000000002], [-0.0016, 0.0036000000000000003, 0.7864, 0.083, 0.902, 0.8943000000000001, 0... | 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(7) @ Z(4)) + 8.0 * (Z(5) @ Z(7)) + 8.0 * (Z(6) @ Z(7)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(0) @ Z(6)) + 8.0 * (Z(8) @ Z(5)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(10) @ Z(9)) + 7.5 * Z(2) + -6.0 * Z(1) + 5.0 * Z(3) + 8.0 * Z(4) + 9.5 * Z(7) + 15.5 * Z(5)... | 10 | 11 | 3 | {"smallest_eigenvalues": [-125.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -103.5, "smallest_bitstrings": ["11010001101"], "largest_eigenvalue": 140.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.13152453191738947) q[0];
ry(0.025977777232794985) q[1];
ry(0.9218544591848595) q[2];
ry(-0.024435756389174265) q[3];
ry(0.849557644832595) q[4];
ry(-0.10151577488916248) q[5];
ry(1.1351836932816761) q[6];
ry(-0.056527250781938224) q[7];
ry(-0.241356151432645) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIZIIZIIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IIIIZZIIIII",
"IIIIZIIIIIZ",
"IIZIIZIIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIZIIIIIII",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IIIIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
7.5,
-6,
5,
8,
9.5,
15.5,
13.5,
-4.5,
2,
8.5,
-6.5
] | 0.972261 | [
-0.13152453191738947,
0.025977777232794985,
0.9218544591848595,
-0.024435756389174265,
0.849557644832595,
-0.10151577488916248,
1.1351836932816761,
-0.056527250781938224,
-0.241356151432645,
0.8917294968253798,
-0.0890225174005995,
0.2037328997822691,
-0.21828731750851074,
0.31410877310293... | {
"n_parameters": 43,
"n_qubits": 11,
"optimal_eigenvalue": -125.5,
"target_ratio": 0.97,
"target_value": -121.735
} | 17 |
b4844a241e7c75ea7eb690acd3c4c004 | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 2}, {"weight": 7, "source": 1, "target": 2}]} | {"states": [1, 0], "expectation_value": -0.9999963636222439, "params": null, "bitstrings": ["0", "1"], "total_optimization_steps": 2, "probabilities": [1.8181888780401846e-06, 0.9999981818111219], "optimization_time": 0.16813230514526367} | -1.0 * Z(0) | 5 | 1 | 1 | {"smallest_eigenvalues": [-1.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": 1.0, "smallest_bitstrings": ["1"], "largest_eigenvalue": 1.0} | 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 | {"start_node": 0, "end_node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[1] c;\nqubit[1] q;\nh q[0];\nry(-1.5681) q[0];\nc[0] = measure q[0];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[1] c;\nqubit[1] q;\nh q[0];\nry(-1.5681) q[0];\nc[0] = measure q[0];\n"], "gradients": [1.0, 0.001]} | [
"Z"
] | [
-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 |
8790253148889747345 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2, 4, 6], [0, 5, 6], [2, 3, 4, 6], [0, 2, 3], [3, 4, 5]]} | {"states": [77, 109], "expectation_value": -1.4604867375249102, "params": null, "bitstrings": ["0110010", "0010010"], "total_optimization_steps": 34, "probabilities": [0.1081619665311267, 0.84881968693055], "optimization_time": 43.830814361572266} | 0.08333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.16666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.5, -1.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.4166666666666665, "smallest_bitstrings": ["1000100", "0010010"], "largest_eigenvalue": 4.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-3.265880934331335e-07) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[2], q[4];
rz(6.528031409580129e-08) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(-3.265880934331335e-07) q[4];
cx q[1], q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(6.528031... | 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(1.4074) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIZZI",
"IIZIZII",
"IIZIIZI",
"ZIIIZII",
"ZIIIIZI",
"ZIZIIII",
"IIIIZIZ",
"ZIIIIIZ",
"IZZIIII",
"ZZIIIII",
"IZIIIIZ",
"IIIZZII",
"IIZZIII",
"ZIIZIII",
"IIIZIIZ",
"IZIZIII",
"IIIIZII",
"IIIIIZI",
"IIZIIII",
"ZIIIIII",
"IIIIIIZ",
"IZIIIII",
"IIIZIII"
] | [
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.25,
0.25,
0.08333333333333333,
0.16666666666666666,
0... | 0.777778 | [
-3.265880934331335e-7,
6.528031409580129e-8,
1.869133147207742e-7,
-1.5707960846192763,
1.5707957556395913,
-1.5695655734534026,
1.570796726802584,
1.5707962077837205
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 289 |
fc4b1ebc6188a30e9c9ceddb9a0bca94 | 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, 91], "expectation_value": -78.5324163305503, "params": [0.0021000000000000003, 0.0098, 3.0025, 0.005, -0.0024000000000000002, 0.0054, 2.9975, 0.0083, 3.0028, 0.0092, 1.5314, 0.0017000000000000001, 2.9878, 0.0095, 2.9891, 0.0016, 0.0089, 0.0045000000000000005, 0.0091, 0.0016, 0.0066, 0.0044, 0.0008, 0.00... | 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(3) @ Z(1)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(0) @ Z(4)) + 6.0 * (Z(7) @ Z(3)) + 6.0 * (Z(7) @ Z(4)) + 6.0 * (Z(6) @ Z(3)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(6) @ Z(7)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(5) @ Z(7)) + 6.0 * (Z(5) @ Z(6)) + -2.0 * Z(2) + 6.5 * Z(1) + 28.0 * ... | 18 | 8 | 1 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["10100100"], "largest_eigenvalue": 189.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.03853432286064757) q[0];
rz(0.09508169224885954) q[0];
rx(3.3653161070271236) q[1];
rz(0.13796810531936393) q[1];
rx(0.04462066496613913) q[2];
rz(0.1220661153728888) q[2];
rx(3.089673676906411) q[3];
rz(-0.34056068554713126) q[3];
rx(3.1642135676246785) 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": []} | [
"IIIIIZZI",
"IIIIZIZI",
"IIIZZIII",
"IIIZIIIZ",
"ZIIIZIII",
"ZIIZIIII",
"IZIIZIII",
"IZIZIIII",
"ZZIIIIII",
"IIZIZIII",
"IIZZIIII",
"ZIZIIIII",
"IZZIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIIIIIIZ",
"ZIIIIIII",
"IZIIIIII",
"IIZIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
-2,
6.5,
28,
27,
-4,
21.5,
19.5,
15
] | 0.979662 | [
0.03853432286064757,
0.07741524515283488,
3.3653161070271236,
0.13796810531936393,
0.04462066496613913,
0.1220661153728888,
3.089673676906411,
-0.34056068554713126,
3.1642135676246785,
0.026048422893721473,
0.42871517800890896,
0.3160626389353791,
3.135544952067804,
0.10803541551272676,
... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -87.5,
"target_ratio": 0.97,
"target_value": -84.875
} | 7 |
c10816059bf6f09b69b466d0274bbc7b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"sour... | {"states": [439, 183], "expectation_value": -4.608039505601204, "params": [[[0.734, 0.0448], [0.9105000000000001, 0.0011], [-0.0077, 0.46490000000000004], [0.8410000000000001, -0.0022], [0.902, -0.0013000000000000002], [-0.0012000000000000001, 0.5104000000000001], [0.9101, -0.0033], [0.9103, -0.0025], [0.9049, 0.003400... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(8) @ Z(5)) + -0.5 * Z(3) + -0.5 * Z(0) + -2.5 * Z(5) + -0.5 * Z(1) + -1.5 * Z(2) + -0.5 * Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["101001000", "001101000"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(2.3867031813640587) q[0];
ry(2.9306295269197298) q[0];
rz(-0.3017188384284797) q[0];
rz(-1.2343541899180626) q[1];
ry(2.799641683149313) q[1];
rz(1.5547893261694163) q[1];
rz(1.8164217098767947) q[2];
ry(0.10260931025715198) q[2];
rz(-1.8543906896181208) q[2];
rz(-1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIZIIIIZ",
"IIIZIIIZI",
"IIIIIZZII",
"IIIIIIZZI",
"IIZZIIIII",
"IIZIIIZII",
"IZIZIIIII",
"IZIIIIZII",
"IIIZZIIII",
"ZIIZIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIZIIIIII",
"IZIIIIIII",
"IIIIZIIII",
"ZIIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-2.5,
-0.5,
-1.5,
-0.5,
-0.5,
0,
0
] | 0.973908 | [
1.3048477041558588,
0.15421103143733722,
2.78789261157414,
-0.1757864405318951,
-0.14282715951272318,
0.10343619199626655,
-0.09438285922243123,
-0.21838652703422318,
1.4503037236220693,
-0.023228132647774374,
-0.10773056255574001,
0.3182638117754136,
1.4104420572997847,
0.2076787067045301... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 38 |
6453080796776710638 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 2, 5, 6, 10], [0, 1], [0, 2, 3], [0, 2, 4, 9, 10], [8, 3, 6], [8, 2], [0, 5, 7], [1, 2, 3, 4, 6, 7], [9, 10, 3, 6], [10, 5, 6, 7], [8, 0, 3], [1, 2, 4, 5, 7, 9, 10], [0, 3, 7, 9, 10], [2, 3, 5, 7, 9, 10]]} | {"states": [1499, 1497], "expectation_value": -2.9313079456169864, "params": [1.5885, 1.5904, 0.1963, 0.18530000000000002, 1.5752000000000002, 1.5532000000000001, 1.5784, 1.5744, 1.1972, 1.584, 0.5474, 0.541, 1.5847, 1.5727, 0.5102, 0.5642, 0.1862, 0.18100000000000002, 0.5374, 0.8555, 1.5642, 1.1995, 0.9882000000000001... | 0.26666666666666666 * (Z(0) @ Z(2)) + 0.10714285714285715 * (Z(5) @ Z(2)) + 0.21666666666666667 * (Z(5) @ Z(0)) + 0.08333333333333334 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(0)) + 0.13333333333333333 * (Z(6) @ Z(5)) + 0.15714285714285714 * (Z(10) @ Z(2)) + 0.15000000000000002 * (Z(10) @ Z(0)) + 0.19047619047619047 * (Z(10) ... | 14 | 11 | 1 | {"smallest_eigenvalues": [-3.609523809523809], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.55952380952381, "smallest_bitstrings": ["01000100110"], "largest_eigenvalue": 13.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.5771307012030054) q[0];
rz(pi/2) q[0];
ry(0.3672024826054171) q[1];
ry(1.3591238480845522) q[2];
ry(2.0363287098736516) q[3];
ry(0.8884675201406921) q[4];
ry(-0.09195885315052514) q[5];
ry(2.3883537985676893) q[6];
ry(-0.10531631268240971) q[7];
ry(0.1285679980584... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIIIZIZ",
"IIIIIZIIZII",
"IIIIIZIIIIZ",
"IIIIZIIIZII",
"IIIIZIIIIIZ",
"IIIIZZIIIII",
"ZIIIIIIIZII",
"ZIIIIIIIIIZ",
"ZIIIIZIIIII",
"ZIIIZIIIIII",
"IIIIIIIIZZI",
"IIIIIIIIIZZ",
"IIIIIZIIIZI",
"IIIIZIIIIZI",
"ZIIIIIIIIZI",
"IIIIIIIZZII",
"IIIIIIIZIIZ",
"IIIIIZIZIII",
"IIIIZIIZI... | [
0.26666666666666666,
0.10714285714285715,
0.21666666666666667,
0.08333333333333334,
0.05,
0.13333333333333333,
0.15714285714285714,
0.15000000000000002,
0.19047619047619047,
0.21666666666666667,
0.05714285714285714,
0.5,
0.023809523809523808,
0.03333333333333333,
0.023809523809523808,
... | 0.970711 | [
1.5771307012030054,
0.3672024826054171,
1.3591238480845522,
2.0363287098736516,
0.8884675201406921,
-0.09195885315052514,
2.3883537985676893,
-0.10531631268240971,
0.12856799805845515,
-0.3097961420755975,
1.7691841265827708,
1.637870385057301,
0.8414956692885347,
1.2680766236529672,
-0.... | {
"n_parameters": 44,
"n_qubits": 11,
"optimal_eigenvalue": -3.609523809523809,
"target_ratio": 0.97,
"target_value": -3.5012380952380946
} | 35 |
6172ec2f30329f156b64312801e66ef4 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 6... | {"states": [36, 37], "expectation_value": -6.585557740801983, "params": [0.0023, -0.2001, -0.0006000000000000001, -0.3002, 0.906, -0.0066, 0.9965, 0.5764, 0.0018000000000000002, 0.7316, 0.0017000000000000001, 0.8756, -0.0013000000000000002, 1.5202, -0.0023, 0.1012, 0.5082, -0.2383, 0.49050000000000005, 0.189, 0.3478, 0... | -1.25 * (Z(0) @ Z(2)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -1.0 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -1.5 * Z(2) + -0.25 * Z(0) + 1.75 * Z(1) + -1.5 * Z(3) + -0.25 * Z(6) + 1.25 * Z(4) + 0.5 * Z(5) | 7 | 7 | 2 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.5, "smallest_bitstrings": ["1010000", "1011010", "1011000"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.15321410223109672) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.15321410223109672) q[1];
cx q[2], q[1];
h q[3];
cx q[1], q[3];
rz(-0.003386663219578) q[3];
cx q[1], q[3];
h q[4];
h q[5];
cx q[3], q[5];
rz(-0.15321410223109672) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIIZZI",
"IIIZIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIIIIZI",
"IIZIIZI",
"IZIZIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IIZIIII",
"IZIIIII"
] | [
-1.25,
-1.25,
-0.25,
-1,
1.5,
-0.75,
-0.5,
-1.25,
-0.75,
-1.5,
-0.25,
1.75,
-1.5,
-0.25,
1.25,
0.5
] | 0.80901 | [
-0.15321410223109672,
-0.003386663219578,
1.3792064432981384,
1.6536245255120825,
0.007415038342467658,
-0.00033579823225607776,
-0.04906685260021198,
1.5514059338137396,
1.57108267036554,
1.549966787492532,
-1.43906272514929
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 276 |
-5090129538137167010 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3], "hyperedges": [[0, 2, 3], [0, 1, 2], [1, 2, 3]]} | {"states": [10, 13], "expectation_value": -0.028966445214748813, "params": [[0.0729], [-0.0714]], "bitstrings": ["0101", "0010"], "total_optimization_steps": 10, "probabilities": [0.06400834748944542, 0.06445252293053862], "optimization_time": 0.3845038414001465} | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.5 * Z(2) + 0.3333333333333333 * Z(0) + 0.3333333333333333 * Z(3) + 0.3333333333333333 * Z(1) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.6666666666666667, "smallest_bitstrings": ["0010"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.7554298887848566) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.7554298887848566) q[3];
cx q[2], q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.7554298887848566) q[1];
cx q[2], q[1];
rz(-0.31667031327007233) q[2];
rx(-0.931499836... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(x1) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(x... | null | {"circuits": [], "gradients": []} | [
"IZIZ",
"ZZII",
"ZIIZ",
"IZZI",
"IIZZ",
"ZIZI",
"IZII",
"IIIZ",
"ZIII",
"IIZI"
] | [
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333
] | 0.68282 | [
0.7554298887848566,
-0.14311880393794585,
-0.3166703132700724,
-0.9314998364778798
] | {
"n_parameters": 4,
"n_qubits": 4,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 102 |
1193544933331346 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 3], [1, 6], [2, 4], [3, 5, 6], [0, 2, 6]]} | {"states": [71, 25], "expectation_value": -0.014439706630857849, "params": [[0.047], [-0.0376]], "bitstrings": ["0111000", "1100110"], "total_optimization_steps": 10, "probabilities": [0.008034209739011937, 0.008034272596609484], "optimization_time": 176.8558235168457} | 0.5 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.16666666666666663 * Z(3)... | 14 | 7 | 1 | {"smallest_eigenvalues": [-2.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.166666666666666, "smallest_bitstrings": ["1100110"], "largest_eigenvalue": 3.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.5508638762506505) q[0];
h q[1];
ry(-0.7224725803899481) q[1];
h q[2];
h q[3];
cx q[3], q[0];
ry(0.5508638762506505) q[0];
cx q[3], q[0];
ry(-0.5598494149396714) q[0];
ry(1.0765764250380083) q[3];
h q[4];
ry(-0.3241159585885776) q[4];
cx q[2], q[4];
ry(0.32... | 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[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[6];
rz(x1) q[6];
cx q[3], q[6];
cx q[0], q[6];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"ZIIZIII",
"ZIIIIIZ",
"ZIIIIZI",
"IIIIZIZ",
"ZIIIZII",
"IIZIZII",
"IZIZIII",
"ZZIIIII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII",
"IZIIIII"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666663,
0.16666666666666663,
0.33333333333333326,
0,
0.16666666666666663,
0,
0.16666666666666666
] | 0.971448 | [
1.5453274412061937,
-1.4449451607798962,
-0.6482319171771552,
0.8380429294164269,
-1.101727752501301,
0.8678986068136734,
-0.43005760495277207,
0.4173556364486698,
-0.5351138427692836,
0.5480627993202218,
-0.6031914289284521,
-0.25958361997379886,
-0.5596918546591383,
-0.0937310933218506,
... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -2.166666666666667,
"target_ratio": 0.97,
"target_value": -2.101666666666667
} | 10 |
73162755fd3fb63ec250bb0297031b85 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [5, 7], "expectation_value": -3.0719352683002965, "params": null, "bitstrings": ["111010", "111000"], "total_optimization_steps": 29, "probabilities": [0.13263570914780165, 0.6774955918682292], "optimization_time": 21.169445514678955} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + 0.0 * Z(5) + -1.0 * Z(1) + 0.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["110010", "111000"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.22579406431789806) q[0];
h q[1];
ry(-0.22579406431789806) q[1];
h q[2];
ry(-1.3560969488988168) q[2];
h q[3];
cx q[3], q[1];
ry(0.22579406431789806) q[1];
cx q[3], q[1];
ry(-0.8255410643066695) q[1];
ry(1.359318218961168) q[3];
ry(-1.0688172905350661) q[4]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) 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];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"ZIIIIZ",
"IIIZZI",
"IZIIZI",
"IIZIZI",
"IIIZII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
0,
-1,
0
] | 0.972602 | [
-1.3560969488988168,
-0.9253424096927959,
-0.4515881286357961,
1.060970966441094,
-0.6027635840281764,
0.5966945050401478,
0.4264757054800475,
-0.4240802228934878,
-0.4455549605569864,
0.8467267468659311,
1.759953496058666,
-0.2334806334765544,
-0.13577340237349522,
0.06205456582507352,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 11 |
c95554156fd9fd4c4809b94d3c10a672 | 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": [1323, 1321], "expectation_value": -123.11741533879353, "params": [0.23470000000000002, 0.2735, 0.6937, 0.0018000000000000002, -0.0026000000000000003, 0.5099, 0.6944, -0.0751, 0.31930000000000003, -0.16770000000000002, 0.0001, 0.4237, 0.7021000000000001, 0.0043, 0.0001, 0.3115, 0.6932, 0.0017000000000000001,... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(4) @ Z(1)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(6) @ Z(0)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(8) @ Z(3)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(10) @ Z(3)) + 8.0 * (Z(10) @ Z(8)) + 8.0 * (Z(11) @ Z(1)) + 8.0 * (Z(11) @ Z(4)) + 8.0 * (Z(11) @ Z(10)) + 15.0 * Z(1) + 3.0 * Z(0) + 10.0 * Z(4) + 15.5 * Z(... | 18 | 12 | 4 | {"smallest_eigenvalues": [-150.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -128.5, "smallest_bitstrings": ["101011010110"], "largest_eigenvalue": 210.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.04103208880541723) q[0];
rz(0.23975725169320583) q[0];
rx(0.9153840394426518) q[1];
rz(-0.02676798062863718) q[1];
rx(-0.10274413302456066) q[2];
rz(0.4413546778382363) q[2];
rx(0.6127908118429659) q[3];
rz(-0.10989852130269506) q[3];
rx(-0.14312658112146137) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIZIIZI",
"IIIIIIIZZIII",
"IIIIIZIIIIIZ",
"IIIIIZZIIIII",
"IIIZIIIIZIII",
"IIIZZIIIIIII",
"IZIIIIIIZIII",
"IZIZIIIIIIII",
"ZIIIIIIIIIZI",
"ZIIIIIIZIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIZIIII",
"IIIIIIIIZIII",
"IIIIIZIIIIII",
"IIIIIIZII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
15,
3,
10,
15.5,
8.5,
-3,
18,
-6,
10,
16,
-15,
-12.5
] | 0.976673 | [
-0.04103208880541723,
-0.028658811512854154,
0.9153840394426518,
-0.02676798062863718,
-0.10274413302456066,
0.4413546778382363,
0.6127908118429659,
-0.10989852130269506,
-0.14312658112146137,
-0.16233043022981508,
-0.06243978714507019,
0.4492416632637455,
0.8783721594904383,
-0.0592628363... | {
"n_parameters": 133,
"n_qubits": 12,
"optimal_eigenvalue": -150.5,
"target_ratio": 0.97,
"target_value": -145.98499999999999
} | 9 |
109dd65f843c7effe1b685156edca6d7 | 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": 0, "ta... | {"states": [6, 7], "expectation_value": -14.011987836909, "params": [[[0.1995, -0.19720000000000001], [0.2751, 0.18460000000000001], [0.2235, 0.184], [0.264, 0.1836], [0.26780000000000004, 0.1835], [0.5984, 0.0007], [0.5992000000000001, 0.0013000000000000002], [0.5951000000000001, 0.0005]], [[0.1978, -0.197200000000000... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.020614379663043705) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.020614379663043705) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.020614379663043705) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.020614379663043705) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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,
2.75,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
-7,
-7.5,
-7.25,
-7,
-7,
-6.5,
-6.5,
-6.25
] | 0.971073 | [
0.020614379663043705,
-0.06563921442885634,
-0.6869657315794282,
-1.4972446815351845,
-1.3570263320892326,
0.5300986815983618,
0.06960159444877413,
-0.23523052806335437,
-0.03648713290377981,
-0.028121845837364642,
-0.9009106158759526,
-0.10227264967403488,
-0.5108808338805213,
0.830325209... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 70 |
c93c716f35031a09dd851ff3225d4cd1 | 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": 1, "source": 0, "target": 9}, {"capacity": 1, "source": 0, "target": 11}, {"capacity": 2, "source":... | {"states": [0, 2047], "expectation_value": -13.975863345403353, "params": [[[0.0028, -1.2957], [-0.0028, -0.003], [0.0023, 0.0023], [0.0021000000000000003, 0.0022], [0.0026000000000000003, 0.0028], [0.0024000000000000002, -0.0029000000000000002], [0.0022, 0.0026000000000000003], [0.0025, 0.0024000000000000002], [0.0019... | -0.25 * (Z(0) @ Z(11)) + 0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -0.5 * (Z(7) @ Z(11)) + -1.0 * (Z(7) @ Z(1)) + -0.25 * (Z(8) @ Z(11)) + -0.25 * (Z(8) @ Z(1)) + -0.25 * (Z(8) @ Z(7)) + -0.25 * (Z(9) @ Z(1)) + -0.5 * (Z(9) @ Z(7)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(9)) + -0.25 * (Z(10)... | 15 | 12 | 2 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["100000000000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.012633202520084187) q[0];
ry(-0.006381050663971797) q[1];
ry(0.009756577754023074) q[2];
ry(0.008489114167213287) q[3];
ry(-0.006381050663971797) q[4];
ry(-0.01303713027359094) q[5];
ry(-0.01303713027359094) q[6];
ry(-0.01303713027359094) q[7];
ry(-0.0141163990159... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"ZIIIIIIIIIIZ",
"IIIIIIIIZIIZ",
"IIIIIIIIZIZI",
"ZIIIZIIIIIII",
"IIIIZIIIIIZI",
"ZIIZIIIIIIII",
"IIIZIIIIIIZI",
"IIIZZIIIIIII",
"IIZIIIIIIIZI",
"IIZIZIIIIIII",
"IIIIIIIZIIZI",
"IIIIZIIZIIII",
"IIZIIIIZIIII",
"ZZIIIIIIIIII",
"IZIIZIIIIIII",
"IZZIIIIIIIII",
"IZIIIIIZIIII",
"IIIIIIZIZ... | [
-0.25,
0.5,
-0.5,
-0.5,
-1,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.75,
-0.25,
-0.25,
-1,
-0.25,
-1,
-0.25,
0.2... | 0.970015 | [
0.012633202520084187,
-0.006381050663971797,
0.009756577754023074,
0.008489114167213287,
-0.01303713027359094,
-0.014116399015959591,
-1.3199721163058171,
-0.23941586769529793,
-0.009024119243943394,
0.7518049908021331,
0.003942294195832937,
0.009926085825518252,
-0.00665040811093394,
-0.0... | {
"n_parameters": 39,
"n_qubits": 12,
"optimal_eigenvalue": -14.5,
"target_ratio": 0.97,
"target_value": -14.065
} | 160 |
807a63e492ab5ccd6fcf63229c2e7564 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 3, "target":... | {"states": [508, 511], "expectation_value": -11.830203644418564, "params": null, "bitstrings": ["000000011", "000000000"], "total_optimization_steps": 100, "probabilities": [0.13069824327841187, 0.44502481358268775], "optimization_time": 233.2467896938324} | -2.0 * (Z(0) @ Z(1)) + -3.0 * (Z(6) @ Z(1)) + -2.5 * (Z(6) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(6)) + 0.5 *... | 1 | 9 | 1 | {"smallest_eigenvalues": [-17.5, -17.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -16.5, "smallest_bitstrings": ["000000000", "000000011"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.74117119744848) q[0];
h q[1];
ry(0.6885639730002503) q[1];
h q[2];
ry(0.6885639730002503) q[2];
h q[3];
h q[4];
h q[5];
ry(0.6885639730002503) q[5];
h q[6];
ry(0.6885639730002503) q[6];
cx q[3], q[6];
ry(-0.6885639730002503) q[6];
cx q[3], q[6];
cx q[6], q[... | null | {"node": 7} | {"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(1.5708) q[3], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc... | [
"IIIIIIIZZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIZIIIZII",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIZIIZIII",
"IIZZIIIII",
"IIIZIZIII",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIZIZIIII",
"IIIIZZIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIIZII",
"IIIIIZIII",
"... | [
-2,
-3,
-2.5,
-2,
0.5,
0.5,
0.5,
0.5,
-3,
0.5,
-1.5,
0.5,
0.5,
-2.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1
] | 0.910439 | [
1.3771279460005006,
1.48234239489696,
1.5465403064569045,
-0.6317344562024765,
-0.5650975507824237,
0.850266822286345,
0.02664195629579482,
0.48566728694622985,
0.00606467331484449,
0.48206041567987373,
1.7749329490975818,
0.23554552075387317,
-0.023687982585712784,
0.21173874306550478,
... | {
"n_parameters": 64,
"n_qubits": 9,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 500 |
-4604205967297380154 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 3], [2, 4, 5, 7, 8], [0, 3, 4, 6, 8], [2, 3, 5, 6, 7], [8, 1, 4, 7], [1, 3, 4, 7], [8, 1, 3, 4], [8, 1, 4, 5], [1, 2, 3, 5, 6], [8, 0, 2, 6], [2, 5, 6, 7, 8], [0, 1, 3, 4, 5], [8, 2, 3, 7], [8, 0, 2, 5]]} | {"states": [427, 431], "expectation_value": -3.2216424705331455, "params": null, "bitstrings": ["001010100", "001010000"], "total_optimization_steps": 58, "probabilities": [0.08437380626062622, 0.8218723145618207], "optimization_time": 155.08111953735352} | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.35 * (Z(3) @ Z(2)) + 0.26666666666666666 * (Z(3) @ Z(0)) + 0.05 * (Z(4) @ Z(2)) + 0.1 * (Z(4) @ Z(0)) + 0.26666666666666666 * (Z(4) @ Z(3)) + 0.2833333333333333 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(0)) + 0.15000000000000002 * (Z(5) @ Z(3)) + 0.18333333333333335 * (Z(5... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.283333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.2, "smallest_bitstrings": ["001010000"], "largest_eigenvalue": 14.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(3.065209734600149) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.0043875317960104954) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.022270131410748482) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(0.03649366112457674) q[4];
cx ... | 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(1.5691) 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",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIZIZII",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIZIZIII",
"IIIZZIIII",
"IZIIIIZII",
"IZIIIZIII",
"IZIIZIIII",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIZIIIZII",
"... | [
0.3333333333333333,
0.35,
0.26666666666666666,
0.05,
0.1,
0.26666666666666666,
0.2833333333333333,
0.13333333333333333,
0.15000000000000002,
0.18333333333333335,
0.23333333333333334,
0.21666666666666667,
0.21666666666666667,
0.15000000000000002,
0.35,
0.21666666666666667,
0.216666666... | 0.97181 | [
3.065209734600149,
0.0043875317960104954,
-0.022270131410748482,
0.03649366112457674,
-0.10374240638089571,
-0.004143826343880365,
0.052933720525781255,
-0.062149384069347675,
0.03478717454285287,
0.10637924115549822,
-0.022442426796514488,
1.0247245728487633,
-0.021006390763946965,
0.0264... | {
"n_parameters": 23,
"n_qubits": 9,
"optimal_eigenvalue": -3.283333333333333,
"target_ratio": 0.97,
"target_value": -3.184833333333333
} | 129 |
4187cb356e6f58a0c6714f20153352eb | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "s... | {"states": [145, 147], "expectation_value": -10.999986261504706, "params": null, "bitstrings": ["101101110", "101101100"], "total_optimization_steps": 41, "probabilities": [0.49999845943863325, 0.49999997784832195], "optimization_time": 65.55303764343262} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -1.5 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(5)) + 1.25 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.75 * (Z(4) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-11.0, -11.0, -11.0, -11.0, -11.0, -11.0, -11.0, -11.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -10.0, "smallest_bitstrings": ["101111110", "111111110", "111101100", "111111100", "111101110", "101101110", "101101100", "101111100"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-1.5081500063348694) q[0];
h q[1];
ry(0.8065816535019376) q[1];
h q[2];
ry(-0.7540750031674347) q[2];
h q[3];
ry(-0.7540750031674347) q[3];
h q[4];
ry(1.6131633070038751) q[4];
cx q[4], q[1];
ry(-0.8065816535019376) q[1];
cx q[4], q[1];
cx q[4], q[2];
ry(0.75... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIZIIZII",
"IIIZIIIZI",
"IIZIIIZII",
"IIZIIZIII",
"IIZIIIIZI",
"IIZZIIIII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIIIZIZII",
"IIIIZZIII",
"IIIZZIIII",
"IIZIZIIII",
"IZIIIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"... | [
-0.25,
-0.75,
-0.75,
-0.5,
-1.5,
-0.25,
-0.5,
-0.25,
-1.5,
-0.75,
1.25,
-0.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.5,
-2,
-0.25,
-1.5,
1.5,
0,
-0.75,
0.5,
2,
0.5
] | 0.994759 | [
1.6131633070038751,
-1.5081500063348694,
1.454332119459762,
-1.566270194312548,
-1.4608687802827236,
0.027334740020596077,
-0.043700135081208874,
0.014272153998925395,
0.013217836416566887,
-0.14540721110637736,
-0.029155185286489253,
-0.06689160939984991
] | {
"n_parameters": 12,
"n_qubits": 9,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 1 |
41c6fd253707f3493d5d4e5aa1da9109 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, ... | {"states": [128, 1], "expectation_value": -3.5616171353467028, "params": [[0.052000000000000005, 0.06860000000000001, 0.069, 0.0644], [-0.0094, -0.0492, -0.0601, -0.0626]], "bitstrings": ["01111111", "11111110"], "total_optimization_steps": 10, "probabilities": [0.013748375610250899, 0.0189288053714438], "optimization_... | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(7) @ Z(1)) + 3.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(... | 1 | 8 | 4 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.28125291389735185) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.3738758539816298) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3738758539816298) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.28125291389735185) 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": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIZIIIII",
"IIIIZIZI",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
-0.5,
-1,
-1,
-0.5,
-0.5,
-1,
-1,
-0.5,
-0.25,
-1,
-0.25,
-0.75,
3.25,
-0.25,
-0.25,
-1,
1.25,
-0.25,
-2,
1,
-0.5,
-1,
2.25,
-0.75
] | 0.512164 | [
-0.28125291389735185,
-0.3738758539816298,
-0.4435290057877126,
-0.2655182352206827,
0.17641094697920026,
0.5370834376657896,
-1.2333040601047265,
0.9898846684859016,
1.6266519609754448,
-1.1954762728719215
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 249 |
8480120542533517580 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4], [0, 2], [3, 6], [3, 5]]} | {"states": [99, 104], "expectation_value": -0.009609704944821856, "params": [[-0.0339], [0.035500000000000004]], "bitstrings": ["0011100", "0010111"], "total_optimization_steps": 10, "probabilities": [0.00796360101500514, 0.00796360101500514], "optimization_time": 0.9464166164398193} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.0, "smallest_bitstrings": ["1101000", "0010111", "0111000", "0110011", "1000111", "0011100", "1001100", "1100011"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-1.2861933488786792) q[0];
cx q[2], q[0];
rz(8.141934237926307e-09) q[0];
rx(0.7853981515785771) q[0];
rz(8.141934237926307e-09) q[2];
rx(0.7853981515785771) q[2];
h q[3];
h q[4];
cx q[4], q[1];
rz(-1.2861933488786792) q[1];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[6], q[3];
rz(x0) q[3];
cx q[6], q[3];
cx q[3], q[5];
... | null | {"circuits": [], "gradients": []} | [
"IIZIIZI",
"IIIIZIZ",
"ZIIZIII",
"IZIZIII",
"IIZIIII",
"IIIIIZI",
"IIIIZII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.7872 | [
-1.2861933488786792,
8.141933597377751e-9,
0.7853981515785771
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 113 |
f2268dbc2cd9e9d8be6517cd34bc9399 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 3}]} | {"states": [231, 239], "expectation_value": -8.827607927738782, "params": [0.6075, 0.0049, 0.6016, 0.0056, 0.6032000000000001, 0.0074, 0.0034000000000000002, 0.4027, 0.5972000000000001, -0.0039000000000000003, 0.6061000000000001, 0.004200000000000001, 0.6071000000000001, 0.0067, 0.6061000000000001, 0.0025, 0.6064, 0.00... | 0.5 * (Z(4) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(4)) + 1.5 * (Z(7) @ Z(5)) + 1.5 * (Z(7) @ Z(4)) + 3.0 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(1) @ Z(4)) + 0.8333333333333334 * (Z(1) @ Z(0)) + 1.0 * (Z(2) @ Z(4)) + 0.8333333333333334 * (Z(2) @ Z(0)) + 1.6666666666666667 * (Z(2) @ Z(1)) + 3.5 * Z(5) ... | 18 | 8 | 3 | {"smallest_eigenvalues": [-26.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.000000000000004, "smallest_bitstrings": ["00010000"], "largest_eigenvalue": 54.83333333333333} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.08466080018590566) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.4712491131715458) q[1];
cx q[2], q[1];
rz(0.6656506840572414) q[2];
rx(1.5126955950453878) q[2];
h q[3];
cx q[0], q[3];
rz(-0.04495793256312783) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IIZZIIII",
"IZZIIIII",
"IZIZIIII",
"ZIZIIIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIZIIIZ",
"IIIZIIZI",
"IIIIIIZZ",
"IIIZIZII",
"IIIIIZIZ",
"IIIIIZZI",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII"
] | [
0.5,
1,
1,
1.5,
1.5,
3,
0.5,
1,
0.8333333333333334,
1,
0.8333333333333334,
1.6666666666666667,
3.5,
6.5,
7,
10.5,
2.5833333333333335,
5.166666666666667,
5.166666666666667,
-0.08333333333333333
] | 0.564109 | [
0.08466080018590566,
-0.04495793256312783,
0.4712491131715458,
0.6656506840572409,
-1.5403474266364232,
-1.5490134012367487,
1.5126955950453878
] | {
"n_parameters": 7,
"n_qubits": 4,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 191 |
f3f2872870ba47278d97d5dc1b7df9d5 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4},... | {"states": [31, 511], "expectation_value": -17.814991864449194, "params": [-0.0026000000000000003, -0.0025, -0.0024000000000000002, -0.0025, -0.9517, -0.9634, -0.0027, -0.0028, -0.0027, -0.0026000000000000003, 0.7703, -0.6663, -1.5733000000000001, -1.5712000000000002, -0.0022, -0.0022, -0.0023, -0.0023, -1.552, 1.55280... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + -1.0 * (Z(9) @ Z(10)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0... | 14 | 11 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["11000000000"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(-1.563159215367809) q[0];
ry(-0.30886573646302784) q[1];
rz(-pi) q[1];
h q[2];
ry(0.5065309130851605) q[2];
h q[3];
ry(0.7976271246097832) q[3];
h q[4];
ry(0.7976271246097832) q[4];
h q[5];
cx q[5], q[2];
ry(-0.5065309130851605) q[2];
cx q[5], q[2];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIIZIZII",
"IIIIIZIZIII",
"IIIIIZIIZII",
"IIIIIZZIIII",
"IIIZZIIIIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIIIZIIII... | [
-1.5,
-2,
-1.5,
-2,
0.5,
-2,
0.5,
-1.5,
-1.5,
-1.5,
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.947352 | [
1.013061826170321,
0.28008950314060416,
1.5952542492195665,
-3.0848990151615028,
0.20590918078058038,
3.5542021481406585,
-0.007501772547801593,
-0.013631628487965019,
0.9758308860819664,
1.340446654779617,
0.7792794465310915,
-1.6345956922001967,
-1.563159215367809,
0.253170313645636,
-... | {
"n_parameters": 53,
"n_qubits": 11,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 500 |
-8322962800216742581 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 2, 6], [0, 3], [1, 3, 5], [0, 2, 5, 6], [0, 1, 2, 4], [1, 2, 3, 6]]} | {"states": [115, 114], "expectation_value": -1.0858333203124455, "params": [1.0971, 0.013000000000000001, 1.1013, 0.0053, 1.0982, 0.0125, 1.0967, 0.0006000000000000001, 1.0935000000000001, 0.0081, 1.0915000000000001, 0.0086, 0.8864000000000001, -0.0016, 0.8611000000000001, 0.0012000000000000001, 1.0954000000000002, -0.... | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(6)) + 0.16666666666666... | 6 | 7 | 1 | {"smallest_eigenvalues": [-1.7499999999999996, -1.7499999999999996], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.666666666666667, "smallest_bitstrings": ["0001101", "0011000"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.8806726479011588) q[0];
rz(1.5652229700091667) q[0];
rx(2.2291300946111954) q[1];
rz(1.5935858423683067) q[1];
rx(1.6018806553880556) q[2];
rz(1.5759065324198556) q[2];
rx(-0.033056443184162086) q[3];
rz(1.2080060923315745) q[3];
rx(0.34263687134905557) 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] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"ZIIZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"ZZIIIII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIIZIII",
"IZIIIII",
"IIZ... | [
0.16666666666666666,
0.25,
0.25,
0.16666666666666666,
0.16666666666666666,
0.25,
0.25,
0.5,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0... | 0.973506 | [
1.8806726479011588,
-0.005573356785729419,
2.229130094611196,
0.022789515573410097,
1.6018806553880556,
0.005110205624959674,
-0.03305644318416209,
-0.3627902344633226,
0.3426368713490556,
0.10972351503459415,
1.432051730038518,
0.11747865280033183,
-0.28059404338103805,
0.0626456559203889... | {
"n_parameters": 35,
"n_qubits": 7,
"optimal_eigenvalue": -1.7499999999999996,
"target_ratio": 0.97,
"target_value": -1.6974999999999996
} | 61 |
-1918728557046605604 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 3, 6], [1, 3, 5], [0, 1], [4, 5], [0, 2], [2, 3], [2, 4, 6], [3, 5, 6], [1, 6]]} | {"states": [75, 77], "expectation_value": -0.06261363355424573, "params": [[0.06770000000000001], [-0.0572]], "bitstrings": ["0110100", "0110010"], "total_optimization_steps": 10, "probabilities": [0.008385467979746096, 0.00851109447591833], "optimization_time": 2.054941415786743} | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.1666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333333, "smallest_bitstrings": ["0110010"], "largest_eigenvalue": 6.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.061461108044008) q[0];
cx q[3], q[0];
h q[4];
h q[5];
h q[6];
cx q[3], q[6];
rz(0.294670473510918) q[6];
cx q[3], q[6];
cx q[0], q[6];
cx q[3], q[1];
rz(-0.061461108044008) q[1];
cx q[3], q[1];
cx q[3], q[5];
rz(0.294... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[6];
rz(x1) q[6];
cx q[3], q[6];
cx q[0], q[6];
rz(x0) q[6];
cx q[0], q... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"ZIIZIII",
"ZIIIIIZ",
"IIIZIZI",
"IIIIIZZ",
"ZIIIIZI",
"IZIZIII",
"ZZIIIII",
"IZIIIZI",
"ZIZIIII",
"IZZIIII",
"IIIZZII",
"IIIIZIZ",
"ZIIIZII",
"IIZIZII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IZIIIII",
"IIZIIII",
"IIIIZII"
] | [
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5000000000000001,
0.16666666666666674,
0.500000... | 0.537885 | [
-0.061461108044008,
0.294670473510918,
0.8280666378560768,
-0.8321223243682108
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -3.166666666666666,
"target_ratio": 0.97,
"target_value": -3.071666666666666
} | 112 |
50803b752054f0512687e537ee7368f9 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}]} | {"states": [16, 20], "expectation_value": -2.6785316592770405, "params": [0.6025, 0.0037, 0.0025, 0.4521, 0.6007, 0.1778, 0.15940000000000001, 0.313, 0.0037, 0.4431, 0.6087, 0.0086, 0.00030000000000000003, 0.4314, 0.5997, 0.21580000000000002, 0.1615, 0.3335, -0.0014, 0.2576, 0.6101, 0.0037, 0.0025, 0.0005, 0.6016, 0.00... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(2) + -1.0 * Z(4) | 18 | 5 | 3 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["01011"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-3.118963683468091) q[0];
ry(-0.017918109517936636) q[1];
rz(-pi) q[1];
h q[2];
ry(1.5232555292397325) q[2];
ry(-0.11982451051349112) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.0455035030484382) q[3];
cx q[2], q[3];
cx q[2], q[0];
ry(-0.07016976767686646) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZZII",
"ZIZII",
"IZIIZ",
"IIIZI",
"IIIIZ",
"IZIII",
"IIZII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-0.5,
-1
] | 0.997671 | [
-1.5523952299069044,
-1.4054683132329673,
1.5232555292397325,
-0.0910070060968764,
0.14033953535373292,
-0.02773759371322497,
-0.0009659747401112133
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
4522096116601947542 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[12, 7], [1, 12], [11, 5, 7], [8, 9, 10], [8, 9, 7], [9, 3], [11, 12], [1, 11], [4, 5], [8, 6], [0, 9, 1], [2, 11], [8, 2, 12], [1, 3], [2, 5], [8, 10, 11], [2, 3], [0, 8, 1], [3, 4, 6], [1, 7], [10, 5, 7]]} | {"states": [4850, 4786], "expectation_value": -5.406699758103331, "params": [[[2.3094, 0.0011, 0.0002, 0.0005], [0.0017000000000000001, -0.009000000000000001, -0.005, 0.0051], [0.0029000000000000002, 0.0082, 0.0095, 0.0014], [1.256, 0.0029000000000000002, 0.9457000000000001, 0.0011], [0.0025, 0.0079, 0.0099, 0.00390000... | 0.5 * (Z(12) @ Z(7)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(12)) + 0.16666666666666666 * (Z(11) @ Z(7)) + 0.5 * (Z(11) @ Z(12)) + 0.5 * (Z(11) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(11)) + 0.16666666666666666 * (Z(8) @ Z(7)) + 0.16666666666666666 * (Z(8) @ Z(12)) + 0.16666666666... | 12 | 13 | 1 | {"smallest_eigenvalues": [-6.333333333333331], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.999999999999999, "smallest_bitstrings": ["0110101001101"], "largest_eigenvalue": 14.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(2.9839856408417873) q[0];
rz(0.14941745464783385) q[0];
ry(-0.22920122956122438) q[1];
rz(-0.32594062191382955) q[1];
cz q[1], q[0];
ry(-0.0780454295684323) q[1];
ry(-0.0007372092138022979) q[2];
rz(0.11729425901321658) q[2];
ry(1.5522844350634544) q[3];
rz(-0.00073... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"ZIIIIZIIIIIII",
"IIIIIZIIIIIZI",
"ZIIIIIIIIIIZI",
"IZIIIZIIIIIII",
"ZZIIIIIIIIIII",
"IZIIIIIIIIIZI",
"IIIIIZIZIIIII",
"IZIIIIIZIIIII",
"IIIIZZIIIIIII",
"ZIIIZIIIIIIII",
"IIIIZIIIIIIZI",
"IZIIZIIIIIIII",
"IIIZIZIIIIIII",
"IIIZIIIIIIIZI",
"IIIZZIIIIIIII",
"IIZIIZIIIIIII",
"IZZIIIIIIII... | [
0.5,
0.5,
0.5,
0.16666666666666666,
0.5,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666... | 0.973335 | [
2.9839856408417873,
0.14941745464783385,
-0.22920122956122438,
-0.32594062191382955,
-0.0007372092138022979,
0.11729425901321658,
1.5522844350634544,
0.05338958315878063,
0.34446144780099586,
0.8342339990166955,
0.008887870918501944,
0.682335234331862,
0.4579413415320261,
0.074920917012987... | {
"n_parameters": 35,
"n_qubits": 13,
"optimal_eigenvalue": -6.333333333333331,
"target_ratio": 0.97,
"target_value": -6.143333333333331
} | 14 |
-8688763616674854855 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 3], [1, 4], [0, 5], [1, 2], [1, 5], [0, 1], [2, 5]]} | {"states": [59, 42], "expectation_value": -2.090341750175707, "params": null, "bitstrings": ["000100", "010101"], "total_optimization_steps": 35, "probabilities": [0.041574363371893394, 0.8350337070730963], "optimization_time": 29.371424436569214} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["101010", "010101"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.15563661525637812) q[1];
h q[2];
ry(0.5953272858584342) q[2];
h q[3];
ry(-0.15563661525637812) q[3];
cx q[0], q[3];
ry(0.15563661525637812) q[3];
cx q[0], q[3];
ry(1.1466729946917271) q[0];
ry(-1.158774727828598) q[3];
h q[4];
h q[5];
cx q[5], q[1]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[5], 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 ... | [
"IIZIIZ",
"IIIIZZ",
"IZIIZI",
"ZIIIIZ",
"ZIIIZI",
"IIIZZI",
"ZIIZII",
"IIZIII",
"IIIIIZ",
"IIIIZI",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.972597 | [
-0.31127323051275624,
0.8455585253034665,
-0.9056138515109174,
-0.3687809269014091,
1.3810321676538004,
1.1906545717168684,
-0.2681113491874999,
0.6022289387765213,
-1.0864666055366723,
0.23535558198869017,
-0.5063217526353613,
0.1598767220558867,
0.1952746172060367,
-0.5426011072130803,
... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 13 |
c57625ce2de67c1086ad1c24582707c2 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [17, 1], "expectation_value": -0.46633386483889105, "params": [[-0.08220000000000001, -0.0775], [0.0801, 0.07830000000000001]], "bitstrings": ["101110", "111110"], "total_optimization_steps": 10, "probabilities": [0.023116514816684308, 0.02429870315245219], "optimization_time": 1.8015682697296143} | -0.75 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * Z(2) + -0.25 * Z(0) + 0.5 * Z(1) + -0.75 * Z(4) + 0.75 * Z(5) + 0.5 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.25, "smallest_bitstrings": ["111110", "111010", "101010", "101110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-pi) q[0];
ry(-0.04555174660829865) q[0];
h q[1];
rz(-pi) q[2];
ry(-0.04555174660829865) q[2];
h q[3];
h q[4];
ry(-0.7617454856021101) q[4];
h q[5];
ry(1.6259872692335873) q[5];
cx q[5], q[4];
ry(0.7617454856021101) q[4];
cx q[5], q[4];
ry(0.03538166069087447) q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": 5} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIIZZI",
"IZIZII",
"ZIIZII",
"ZIIIIZ",
"IZZIII",
"IIIZII",
"IIIIIZ",
"IIIIZI",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
-0.75,
-0.5,
-0.25,
-0.25,
1,
-0.5,
-0.75,
-0.25,
0.5,
-0.75,
0.75,
0.5
] | 0.994308 | [
1.6259872692335873,
-1.6769397797965455,
-1.5234909712042202,
0.07076332138174894,
0.09535941020082443,
0.07848445490394958,
0.12118341278670078
] | {
"n_parameters": 7,
"n_qubits": 6,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 1 |
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