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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
75d554aeee06fbf8bfe9226005af8f80 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 1, "s... | {"states": [19, 3], "expectation_value": -0.6741408075399767, "params": [[0.0466], [-0.0349]], "bitstrings": ["111101100", "111111100"], "total_optimization_steps": 10, "probabilities": [0.0023889183333927525, 0.0024219742007850218], "optimization_time": 2.4734413623809814} | -0.5 * (Z(0) @ Z(3)) + -1.75 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -1.25 * (Z(6) @ Z(0)) + 2.5 * (Z(8) @ Z(0)) + -2.75 * (Z(1) @ Z(3)) + -1.75 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(8)) + -1.5 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(6)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -1.25 * (Z(7) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-21.75, -21.75, -21.75, -21.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -19.75, "smallest_bitstrings": ["111111100", "101001100", "100001100", "111101100"], "largest_eigenvalue": 22.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.006827207457323166) q[0];
rz(-0.23597771216824626) q[0];
rx(-0.09729894997585807) q[1];
rz(-0.01920919706870272) q[1];
rx(-0.14142198156836722) q[2];
rz(-0.5229930792730428) q[2];
rx(-0.043036273190443085) q[3];
rz(-0.2579346393862174) q[3];
rx(0.20157775298869324... | OPENQASM 3.0;
include "stdgates.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": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIZIZIII",
"IIIZIIIIZ",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IIIIIZIZI",
"IIIZIIIZI",
"ZIIIIIIZI",
"IIIIIZZII",
"IIIZIIZII",
"IIZIIIZII",
"IIIIZZIII",
"IIZIZIIII",
"ZZIIIIIII",
"IZIIIIIZI",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"... | [
-0.5,
-1.75,
-0.5,
-1.25,
2.5,
-2.75,
-1.75,
-0.5,
-1.5,
-0.5,
-1,
-0.75,
-0.5,
-1.25,
-1.75,
2.75,
-0.25,
-4.5,
-2.75,
0.75,
-0.25,
0,
1.25,
3
] | 0.97937 | [
-0.0068272074573231655,
-0.20920089964796962,
-0.09729894997585808,
0.055575978225318096,
-0.1414219815683672,
-0.5701909759145707,
-0.04303627319044308,
-0.28259240878201897,
0.20157775298869324,
0.1793225612742884,
-0.04302723281296812,
-0.17848066687116995,
0.17253667000206355,
-0.35147... | {
"n_parameters": 164,
"n_qubits": 9,
"optimal_eigenvalue": -21.75,
"target_ratio": 0.97,
"target_value": -21.0975
} | 3 |
f8d4ddeda47a8e3bc151d4c5e3b58baa | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"sour... | {"states": [76, 78], "expectation_value": -5.029131023144687, "params": [0.0026000000000000003, 0.007, -0.0175, 0.0057, 1.6065, 0.0073, 1.3582, 0.0077, 0.003, 0.00030000000000000003, 1.6025, 0.005200000000000001, 1.6065, 0.0023, 1.5983, 0.0095, 0.3521, 0.0035, 0.0, 0.008400000000000001, 0.0015, 0.002, 0.002600000000000... | 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(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["110110001", "110111000", "110010011"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.09655155922554097) q[0];
rz(-0.4999440812199403) q[0];
rx(0.0840426696898688) q[1];
rz(0.5017602879502494) q[1];
rx(3.0705196816224403) q[2];
rz(0.39527118829367636) q[2];
rx(0.4009129228231811) q[3];
rz(-0.40179300608358837) q[3];
rx(0.016856569491415417) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"ZIIIZIIII",
"ZIIZIIIII",
"IIIIZIIZI",
"IIIZIIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"ZIIIIZIII",
"IZIIIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"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,
0.5,
0.5,
-0.5,
-2,
-2,
-1.5,
-0.5,
-1.5,
-1.5,
-0.5,
-0.5
] | 0.985701 | [
-0.09655155922554097,
-0.47955917785018676,
0.08404266968986879,
0.32535694573865737,
3.0705196816224403,
0.28205047958793494,
0.40091292282318114,
-0.04907493158027204,
0.016856569491415417,
0.012814655982630346,
2.820197488646193,
-0.04490372781744184,
-0.1057657807640135,
3.071213880922... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 23 |
cf37919d6a949ddf46d1ba52baad11a7 | kclique | qaoa | {"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": [10, 3], "expectation_value": -14.64506024572525, "params": [[-0.038, -0.0045000000000000005], [0.0765, 0.0746]], "bitstrings": ["1110101", "1111100"], "total_optimization_steps": 10, "probabilities": [0.015370248458601611, 0.01604184404056478], "optimization_time": 4.3919997215271} | 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)) + 2.75 * (Z(5) @ Z(3)) + 3... | 16 | 7 | 2 | {"smallest_eigenvalues": [-30.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.75, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(0.9710988307186401) q[0];
rz(-0.02891617297319593) q[0];
rx(0.01057020565881352) q[1];
rz(0.4201067776955153) q[1];
rx(0.17533459356932862) q[2];
rz(-0.2611102377168925) q[2];
rx(0.815311740040549) q[3];
rz(0.3185927358966159) q[3];
rx(0.02598770948038412) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"k": 5} | {"circuits": [], "gradients": []} | [
"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,
3,
2.75,
3,
3,
2.75,
3,
3,
2.75,
3,
-10,
-10.25,
-10,
-10.25,
-10.25,
-9.25,
-9.5
] | 0.971532 | [
0.97109883071864,
0.1852350393243934,
0.01057020565881352,
0.4201067776955153,
0.17533459356932862,
-0.2611102377168925,
0.815311740040549,
0.3185927358966159,
0.02598770948038412,
0.4488470663552064,
0.8538907870390587,
-0.06192037117045744,
0.6391143778249074,
0.6360541241011217,
0.103... | {
"n_parameters": 144,
"n_qubits": 13,
"optimal_eigenvalue": -4.4375,
"target_ratio": 0.97,
"target_value": -4.304375
} | 17 |
d2af5b370a3d71c549af79aed48d2958 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 4}, {"weight": 16, "source": 0, "target": 3}, {"weight": 12, "sour... | {"states": [252, 236], "expectation_value": -67.33790675100026, "params": [0.1864, -0.0849, 0.1948, -0.09290000000000001, 0.3879, 0.0257, 0.3921, 0.0132, 0.39640000000000003, 0.039400000000000004, 0.3904, 0.0223, 0.3952, 0.0403, 0.39590000000000003, 0.0328, 0.19160000000000002, 0.1033, 0.1885, 0.0765, 0.393900000000000... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(6)) + 18.0 * Z(1) + 10.0 * Z(0) + 20.0 *... | 5 | 9 | 4 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.0, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 164.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.04126392728974821) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.04126392728974821) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.04126392728974821) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.04126392728974821) q[3];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIZIIII",
"IZIIIIZII",
"IZIIIZIII",
"IZIZIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
18,
10,
20,
11,
9.5,
8.5,
13.5,
9,
-0.5
] | 0.970267 | [
-0.04126392728974821,
1.7332077485839643,
-0.8576501995150937,
1.3386023898669177,
1.2883697918636179,
-0.9349626775638434,
1.3303208553999049,
1.3974747020449236,
-1.0827262119374117,
-1.2260585980705325,
-1.5117620234681233,
0.3767377795436414,
-0.6556330629431877,
-0.3897285547237702,
... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -78,
"target_ratio": 0.97,
"target_value": -75.66
} | 61 |
c5aa289d2d34be7b0922b4fb4be4f7b1 | 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": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capac... | {"states": [0, 3], "expectation_value": -11.189874573490627, "params": [0.0028, -0.0004, -0.0028, 0.45580000000000004, -0.0025, 0.4721, 0.0102, -0.0886, -0.0029000000000000002, 0.671, -0.0025, 0.6752, -0.0023, 0.6699, -0.0034000000000000002, 0.6423, 0.5132, -0.0017000000000000001, 0.9057000000000001, 0.0015, -0.0052000... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(5)) + -0.25 * (Z(9) @ Z(1)) + 2.5 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(4)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(2... | 4 | 10 | 2 | {"smallest_eigenvalues": [-13.75, -13.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.75, "smallest_bitstrings": ["1111111100", "1110111100"], "largest_eigenvalue": 13.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.04357068336151266) q[0];
rz(1.354576549577759) q[0];
rx(-0.041333104611612) q[1];
rz(1.949807867580267) q[1];
rx(-0.07001454888747592) q[2];
rz(2.012914938453335) q[2];
rx(0.01285269504665166) q[3];
rz(1.5777715411221092) q[3];
rx(-0.21494103036090006) q[4];
rz(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[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIZIIIIIIZ",
"IIZIZIIIII",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"IIIZIIIIZI",
"IIIZIIIZII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IIIZIIZIII",
"IZIIIIIZII",
"IZIIZIIIII"... | [
-0.25,
-0.5,
-0.75,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
2.5,
-0.5,
-0.5,
-1,
-0.25,
-1,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-1,
-0.25,
-1.5,
1,
0,
-0.5,
1.25,
-0.5,
0.25,
1.25
] | 0.971647 | [
0.04357068336151266,
-0.2162197772171379,
-0.04133310461161201,
0.37901154078537025,
-0.07001454888747592,
0.4421186116584369,
0.012852695046651659,
0.006975214327212265,
-0.21494103036090006,
0.8175322141794908,
0.6181953143161085,
-0.02117728429574288,
0.752068045942424,
0.09353559368384... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 7 |
79dbb46672568dd6da53fdf988683370 | 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}], "edges": [{"weight": 2, "source": 0, "t... | {"states": [180, 148], "expectation_value": -33.14539226807988, "params": [[[1.2941, -0.0013000000000000002], [-0.0022, 0.9372], [0.6901, 0.2943], [1.3027, 0.001], [0.2013, 0.5351], [1.3025, 0.0028], [0.15330000000000002, -0.5748], [0.6205, -0.33690000000000003]], [[1.2947, 0.0058000000000000005], [-0.0022, 0.0027], [0... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + -10.0 * Z(1) + 3.5 * Z(0) + -5.5 * Z(4) + 3.0 * Z(2) + 2... | 1 | 8 | 2 | {"smallest_eigenvalues": [-42.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -40.5, "smallest_bitstrings": ["01101011"], "largest_eigenvalue": 60.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-0.14739604000192053) q[0];
ry(3.019875982413196) q[0];
rz(3.133045858754553) q[0];
rz(0.14681821349369484) q[1];
ry(0.16625292729472163) q[1];
rz(1.4294168654831019) q[1];
rz(1.2186812571693961) q[2];
ry(0.32253940399967884) q[2];
rz(-1.632413822773313) q[2];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIZI",
"IIIIIZIZ",
"IIIZIZII",
"IIIZZIII",
"IIIIZZII",
"IIZIIIIZ",
"IIZIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
-10,
3.5,
-5.5,
3,
2,
3.5,
-2,
-1
] | 0.976253 | [
0.7464408162705116,
-0.033729247253251216,
-0.11552461607907104,
0.5196528554019153,
0.0886254211082439,
-0.17444899387284873,
0.8983531351940277,
0.003628901528802731,
-0.29980800833140264,
0.7491406770668805,
-0.004650044602488298,
0.13723474935698732,
-0.19427224913628832,
0.18990325270... | {
"n_parameters": 54,
"n_qubits": 8,
"optimal_eigenvalue": -42.5,
"target_ratio": 0.97,
"target_value": -41.225
} | 14 |
d92b7c12d97dc605feea13254bd8dff9 | 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": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [1, 9], "expectation_value": -4.093413388887351, "params": [[[-0.0033, 0.0064], [0.0027, 0.0061], [0.0025, 0.003], [1.6014000000000002, 0.0029000000000000002], [0.0023, 0.0043], [1.1608, 0.003], [1.6096000000000001, 0.0059]]], "bitstrings": ["1111110", "1110110"], "total_optimization_steps": 160, "probabilit... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(5) @ Z(2)) + 0.0 * Z(1) + -0.25 * Z(0) + -1.0 * Z(2) + -0.75 * Z(4) + 0.75 * Z(6) + 0.75 * Z(3) + 0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["1010110", "1010100", "1110110", "1110100"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.1613355818092186) q[0];
h q[1];
ry(-0.12233573057545974) q[2];
rz(-pi) q[2];
h q[3];
ry(1.3171455343153773) q[3];
h q[4];
ry(-1.4549864237177321) q[4];
h q[5];
h q[6];
cx q[6], q[0];
ry(0.1613355818092186) q[0];
cx q[6], q[0];
ry(-1.3359098122324058) q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIIZ",
"IIZIZII",
"ZIIIIZI",
"ZIIIIIZ",
"IIZZIII",
"ZIIZIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
1.75,
-0.25,
-0.5,
-0.5,
0,
-0.25,
-1,
-0.75,
0.75,
0.75,
0.5
] | 0.978301 | [
-0.3226711636184372,
1.0297858894541518,
-1.3860618782316705,
-1.4549864237177321,
-1.2701039327304473,
1.3171455343153773,
0.6533473382192567,
-0.13161175900391658,
-0.23704437420561295,
-0.36147363198884425,
0.07668172061107403,
0.05424147455893963,
0.18792758690886313,
-0.12479743597553... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 14 |
c31960310eb284d493a369e45529e3bd | 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": 5, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 17, "source": 0, "target": 3}, {"weight": 16, "source": 1, "tar... | {"states": [241, 236], "expectation_value": -30.547592241472763, "params": [[-0.0309, -0.011000000000000001, 0.0057, -0.0172], [0.061500000000000006, 0.0541, 0.044000000000000004, 0.0567]], "bitstrings": ["100001110", "100010011"], "total_optimization_steps": 10, "probabilities": [0.010732521769969498, 0.01302283047131... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(6)) + 16.5 * Z(1) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 172.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.667260209605278e-08) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.667260209605278e-08) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-1.667260209605278e-08) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-1.667260209605278e-08) q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZIZII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIZII",
"IIZIZIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
16.5,
7,
17.5,
12.5,
12.5,
17.5,
10.5,
9.5,
-6
] | 0.859873 | [
-1.667260209605278e-8,
1.5707964046189828,
-1.5707962989502005,
1.5707963666512932,
1.570796331640382,
1.5707964093486493,
-1.5707963413629793,
-1.570796379010887,
-1.570796324325231
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -78.5,
"target_ratio": 0.97,
"target_value": -76.145
} | 247 |
e477f019bfd20e5c3ebfb6f9f834bdc7 | 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": 3}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [0, 31], "expectation_value": -17.17313494662526, "params": [-0.008700000000000001, 0.6406000000000001, 0.0018000000000000002, 0.552, -0.0014, 0.5075000000000001, 0.0025, 0.5014000000000001, 0.0002, 0.4314, 0.0007, 0.3885, -0.004, 0.9750000000000001, -0.0026000000000000003, 1.0426, 0.5389, 0.758, 0.2869, 0.3... | -2.5 * (Z(0) @ Z(1)) + 1.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + -2.0... | 6 | 9 | 4 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["111100000"], "largest_eigenvalue": 27.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.19797223445350373) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.2002553072915073) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.19797223445350373) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.19797223445350373) 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] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIZIZIIII",
"IZZIIIIII",
"IZIIZIIII",
"IIIZZIIII",
"IZIZIIIII",
"ZIIIZIIII",
"ZZIIIIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIZIIIIII",
"IIIIZIIII",
"IZIIIIIII",
"... | [
-2.5,
1.5,
-2.5,
-2.5,
1,
-2.5,
-1.5,
0.5,
-2.5,
0.5,
-2,
0.5,
-2,
0.5,
-2,
-1.5,
-2,
1.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.577079 | [
0.19797223445350373,
0.2002553072915073,
-0.01351954138625283,
1.5559118600726514,
0.42999996669539475,
1.3295456803697459,
1.205463004165793
] | {
"n_parameters": 7,
"n_qubits": 9,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 205 |
c74167a186ef9c06e73f7bbbf8de6ec0 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [280, 434], "expectation_value": -1.7668895654830434, "params": [[[-0.0027, -0.0027], [1.6638000000000002, 1.4028], [-0.054400000000000004, -1.393], [1.5677, 1.5679], [1.5735000000000001, -0.7157], [-1.5732000000000002, 1.5674000000000001], [1.5656, 0.7717], [0.0026000000000000003, 1.5716], [2.5976, 0.002600... | 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(... | 15 | 9 | 1 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.75, "smallest_bitstrings": ["001101001", "100001011", "001001101", "010001011", "001001011"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.041251712218491) q[0];
rz(0.580050011553691) q[0];
ry(0.23646985773661366) q[1];
rz(0.46970932330323645) q[1];
cx q[1], q[0];
ry(-0.044856563565926946) q[0];
rz(0.3955318483577836) q[0];
ry(0.7797338022827801) q[1];
rz(-0.08414341469060317) q[1];
ry(-0.66695651907... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIIIZZIIZ",
"IIIZIZIIZ",
"IIIZZIIIZ",
"IIIZZZIII",
"IIIZZZIIZ",
"IIZIIZIII",
"IZIIIZIII",
"IZZIIIIII",
"IZZIIZIII",
"IIIIZIIZI",
"IIZIIIIZI",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.125,
0.125,
-0.25,
0.125,
0... | 0.971722 | [
-0.041251712218491,
0.580050011553691,
0.23646985773661366,
0.46970932330323645,
-0.666956519071666,
-0.018768719039308997,
0.024764447430296842,
0.5942090720854358,
0.04049400832053474,
0.7824465811501837,
-0.024260433111440733,
-0.3679413909186362,
0.030051998326202825,
0.091696359446894... | {
"n_parameters": 126,
"n_qubits": 9,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 65 |
2228358328979398235 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3, 5, 6], [0, 7], [1, 4], [0, 5, 6], [0, 2, 5], [0, 2, 3, 6], [2, 6, 7], [1, 3, 5, 6], [0, 1, 3], [2, 3, 4, 5], [1, 2, 5], [1, 5, 6, 7]]} | {"states": [31, 226], "expectation_value": -0.17098562393710995, "params": [[0.0743], [-0.0789]], "bitstrings": ["11100000", "00011101"], "total_optimization_steps": 10, "probabilities": [0.0043625371093678564, 0.004425678502444284], "optimization_time": 3.012315034866333} | 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(2)) + 0.41666666666666663 * (Z(6) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(0) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.08333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.166666666666667, -3.166666666666667], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.166666666666666, "smallest_bitstrings": ["00011101", "00001101"], "largest_eigenvalue": 11.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(4.27193725247387e-08) q[2];
cx q[3], q[2];
h q[4];
h q[5];
cx q[3], q[5];
rz(4.27193725247387e-08) q[5];
cx q[3], q[5];
cx q[2], q[5];
rz(3.1415926604462423) q[5];
cx q[2], q[5];
h q[6];
cx q[3], q[6];
rz(4.2719372524738... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} | [
"IIIIZZII",
"IIZIZIII",
"IIZIIZII",
"IZIIZIII",
"IZIIIZII",
"IZZIIIII",
"IIIIZIIZ",
"IIIIIZIZ",
"IIZIIIIZ",
"IZIIIIIZ",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIIIZZI",
"IIZIIIZI",
"IZIIIIZI",
"IIIIIIZZ",
"ZIIIIIZI",
"IIIZZIII",
"IIIZIZII",
"IIZZIII... | [
0.25,
0.25,
0.5,
0.25,
0.3333333333333333,
0.41666666666666663,
0.25,
0.25,
0.3333333333333333,
0.25,
0.16666666666666666,
0.08333333333333333,
0.25,
0.5,
0.25,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.083333333... | 0.921053 | [
4.27193725247387e-8,
3.1415926604462423,
1.820034191509132e-8,
-3.457899903510719e-8,
-6.80480377490183e-8,
-3.2951587718563014e-9,
1.5707963209033309,
1.5707965647207767,
-1.5707964044693046,
1.570796230680276,
1.5707963187463219,
-1.5707961599444358,
-1.5707964292809542,
1.57079641375096... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -3.166666666666667,
"target_ratio": 0.97,
"target_value": -3.0716666666666668
} | 333 |
0f1d9308b8b1d06d30bfa4de6cbc9040 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [607, 671], "expectation_value": -2.9913074541787337, "params": null, "bitstrings": ["0110100000", "0101100000"], "total_optimization_steps": 83, "probabilities": [0.039195353000280514, 0.6667044491494435], "optimization_time": 327.5181565284729} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(0) @ Z(8)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(2) @ Z(8)) + 0... | 1 | 10 | 3 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5625, "smallest_bitstrings": ["1001001000", "0101100000", "0110010000"], "largest_eigenvalue": 5.4375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.6230010565610689) q[0];
rz(0.06856754591903558) q[0];
rx(0.05228651755820995) q[1];
rz(0.2247192988641979) q[1];
rx(0.623001056561069) q[2];
rz(0.422733719531101) q[2];
rx(-0.04142085028007082) q[3];
rz(0.5561544826034971) q[3];
rx(0.03278011693440643) q[4];
rz(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[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(-1.1871) q[2], 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] = meas... | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIZZIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIZZZIIII",
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IIZIIIIIIZ",
"IZIIIIIIIZ",
"IIIIIZIZII",
"IIZIIIIZII",
"IZIIIIIZII",
"IIZIIZIIII",
"IZIIIZIIII",
"IZZIIIIIII",
"IIIIIZIZIZ",
"IIZIIIIZIZ",
"IZIIIIIZIZ",
"IIZIIZIIIZ"... | [
0.5,
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,
... | 0.972312 | [
0.623001056561069,
0.312284130557242,
0.05228651755820995,
0.2247192988641979,
0.422733719531101,
-0.04142085028007082,
0.5561544826034971,
0.03278011693440643,
0.14994131830223134,
0.8695450938462626,
1.3203077449435106,
-0.04661008090570343,
0.2783265346359588,
0.09648654899272954,
1.0... | {
"n_parameters": 113,
"n_qubits": 10,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 27 |
ab1d7611b1fa7d661f876db89db2765c | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [399, 143], "expectation_value": -89.51967625579172, "params": [0.0014, -0.39890000000000003, 0.33680000000000004, 0.16010000000000002, 0.7005, 0.0066, 0.0027, 0.44520000000000004, -0.0035, -0.3774, -0.002, 0.5191, 0.6880000000000001, 0.0048000000000000004, 0.6922, 0.005, 0.7060000000000001, -0.0033, 0.69000... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(6) @ Z(2)) + 7.5 * (Z(6) @ Z(1)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(4) @ Z(7)) + 7.5 * (Z(0) @ Z(8)) + 7.5 * (Z(9) @ Z(2)) + 7.5 * (Z(9) @ Z(1)) + 7.5 * (Z(9) @ Z(6)) + 24.5 * Z(2) + 10.0 * Z(1) + -5.5 * Z(3) + 23.0 * Z(6) + 6.5 * Z(7) + -4.0 * Z(4) + 0.5 * Z(8) + -5.0... | 18 | 10 | 4 | {"smallest_eigenvalues": [-101.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -95.5, "smallest_bitstrings": ["1101110000"], "largest_eigenvalue": 161.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.1358781698227315) q[0];
rz(-0.454671684945545) q[0];
rx(0.032102969678035276) q[1];
rz(0.11340757645883379) q[1];
rx(0.9095386211024731) q[2];
rz(-0.03460956822240202) q[2];
rx(0.02328521575370207) q[3];
rz(0.3404491129464208) q[3];
rx(0.06772140541952396) 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIZZII",
"IIIZIIIZII",
"IIIZIIIIZI",
"IIZZIIIIII",
"IIZIIZIIII",
"IZIIIIIIIZ",
"ZIIIIIIZII",
"ZIIIIIIIZI",
"ZIIZIIIIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIZIIIIII",
"IIZIIIIIII",
"IIIIIZIIII",
"IZIIIIIIII",
"IIIIIIIIIZ",
"ZIIIIIIIII",
"IIIIZIIIII"... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
24.5,
10,
-5.5,
23,
6.5,
-4,
0.5,
-5,
15,
-12.5
] | 0.971859 | [
-0.13587816982273146,
-0.4563508374069177,
0.032102969678035276,
0.11340757645883379,
0.9095386211024731,
-0.03460956822240202,
0.02328521575370207,
0.3404491129464208,
0.06772140541952396,
-0.2524638863372302,
-0.1582119354727767,
0.45105617620216,
0.8124771828926776,
0.009856024106898769... | {
"n_parameters": 106,
"n_qubits": 10,
"optimal_eigenvalue": -101.5,
"target_ratio": 0.97,
"target_value": -98.455
} | 4 |
902a0384b6808893b61075473eb2cba3 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 18, "source": 1, "target": 9}, {"weight": 18, "source": 1, "target": 5}, {"weight":... | {"states": [948, 436], "expectation_value": -78.60352224331947, "params": [1.0973, -0.056900000000000006, 1.1017000000000001, 0.0046, 1.0941, 0.1042, 1.0872, 0.0086, 1.0962, 0.1014, 1.089, 0.0037, 1.1004, -0.23820000000000002, 0.2933, 0.0067, 1.0994000000000002, 0.1451, 1.0809, 0.0078000000000000005, 1.0969, 0.1263, 1.... | 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(7) @ Z(2)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(9) @ Z(2)) + 5.5 * (Z(9) @ Z(5)) + 5.5 * (Z(9) ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-112.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -97.5, "smallest_bitstrings": ["1001001011"], "largest_eigenvalue": 204.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-3.10118623269293) q[0];
rz(0.8128660754103976) q[0];
rx(2.0832094268029127) q[1];
rz(1.60416475410263) q[1];
rx(2.0270304261119128) q[2];
rz(1.4789534463080116) q[2];
rx(0.28632534179159735) q[3];
rz(1.7722944839731483) q[3];
rx(1.7155469296103694) q[4];
rz(1.77730... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIIZIIZII",
"IIIIZIZIII",
"IIIZIIIIZI",
"IIIZIZIIII",
"IIZIIIIZII",
"IIZIIIIIZI",
"IIZIZIIIII",
"IIZZIIIIII",
"ZIIIIIIZII",
"ZIIIZIIIII",
"ZIZIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
25.5,
0.5,
20,
5.5,
2,
20.5,
8,
24.5,
8,
-7.5
] | 0.970361 | [
3.1819990744866566,
-0.7579302513844987,
2.0832094268029127,
0.03336842730773352,
2.0270304261119128,
-0.09184288048688477,
0.2863253417915973,
0.20149815717825192,
1.7155469296103691,
0.20650448270336397,
1.5634759404632774,
-0.02096897995660172,
0.9077227077856675,
0.005128818634877914,
... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -112.5,
"target_ratio": 0.97,
"target_value": -109.125
} | 135 |
d67dce3f5139cf39967f12d8ad7a1f95 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 15, "source": 0, "target": 5}, {"weight": 15, "source": 1, "ta... | {"states": [427, 234], "expectation_value": -15.715651247738425, "params": [[-0.043000000000000003, -0.019700000000000002], [0.0666, 0.0653]], "bitstrings": ["001010100", "100010101"], "total_optimization_steps": 10, "probabilities": [0.006753917056687292, 0.00827754919433401], "optimization_time": 5.748882055282593} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 12.0 * Z(1) + 9.5 * Z(0) + 11.0 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 141.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.057985733596822256) q[0];
rz(-0.08921433292265135) q[0];
rx(0.8289694419369887) q[1];
rz(-0.25300377968612575) q[1];
rx(0.9066313360301113) q[2];
rz(0.12177703936276048) q[2];
rx(0.6242911106387234) q[3];
rz(0.24462902398542496) q[3];
rx(-0.05191058184150418) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIZI",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
12,
9.5,
11,
12,
2.5,
18,
1.5,
10,
6.5
] | 0.971565 | [
-0.057985733596822256,
0.02695926161404545,
0.8289694419369887,
-0.25300377968612575,
0.9066313360301113,
0.12177703936276048,
0.6242911106387234,
0.24462902398542496,
-0.05191058184150418,
0.3538364534705118,
1.0072361229926894,
0.24733858529044117,
0.27827590024031423,
0.0244402588190312... | {
"n_parameters": 105,
"n_qubits": 9,
"optimal_eigenvalue": -74.5,
"target_ratio": 0.97,
"target_value": -72.265
} | 11 |
1247113906661385729 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 0], [5, 7], [0, 6], [4, 7], [9, 6], [0, 7], [6, 7], [1, 2], [8, 3], [4, 6], [3, 5], [0, 5], [1, 6], [3, 4], [3, 6], [5, 6], [0, 1], [0, 9], [9, 5], [1, 4], [2, 5], [9, 1], [2, 7], [8, 1]]} | {"states": [348, 340], "expectation_value": -2.8382908980771586, "params": [0.9890000000000001, 0.0509, 0.7475, 0.002, 1.0017, -0.0356, 0.9986, 0.0053, 0.6114, 0.0246, 0.3894, 0.0031000000000000003, 1.0038, -0.0555, 1.0041, 0.0044, 0.9794, 0.0053, 0.5098, 0.0049, 1.0027000000000001, -0.051000000000000004, 0.9938, 0.006... | 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(1) ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-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], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -4.0, "smallest_bitstrings": ["0010111011", "0100011110", "1101010100", "0010111010", "1010101010", "1010101011", "1011100001", "0010101011", "0101... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.2432441223288925) q[0];
rz(0.727981965516665) q[0];
rx(1.6507295968934061) q[1];
rz(1.5796131690099777) q[1];
rx(0.27668637513107147) q[2];
rz(1.6667321744481658) q[2];
rx(0.5896796130792415) q[3];
rz(1.4220601885635311) q[3];
rx(-0.25328127869080674) q[4];
rz(2.0... | 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": []} | [
"IZIIIIIIIZ",
"IIIIZIIIIZ",
"IIZIIIIIIZ",
"IIZIZIIIII",
"IIIZIIIIIZ",
"IIIZZIIIII",
"IIZZIIIIII",
"IIZIIZIIII",
"IIIZIZIIII",
"ZIIIIIIIIZ",
"ZIIIZIIIII",
"ZIIZIIIIII",
"IIIIIIIIZZ",
"IZIIIIIIZI",
"IIIZIIIIZI",
"IIIIIZIIZI",
"ZIIIIIIIZI",
"IIIIZIIZII",
"IIZIIIIZII",
"IIIIIIIZZI"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.976328 | [
0.24324412232889253,
-0.8428143612782315,
1.6507295968934061,
0.008816842215080906,
0.2766863751310715,
0.09593584765326912,
0.5896796130792415,
-0.14873613823136517,
-0.25328127869080674,
0.4299542740631821,
2.056844452860418,
-0.04986487557800181,
-0.14180288740842328,
-0.240534265455827... | {
"n_parameters": 47,
"n_qubits": 10,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 96 |
da6f888553e0928bf84cb7c24eceee80 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 3, "source": 2, ... | {"states": [128, 127], "expectation_value": -6.760946925530975, "params": [[[0.0041, -0.0012000000000000001], [-0.0025, -0.005200000000000001], [-0.0004, -0.0011], [0.0023, -0.0028], [0.0022, -0.0024000000000000002], [-0.0023, -0.0027], [1.3655000000000002, 0.029], [0.39730000000000004, 0.0223]], [[0.006800000000000000... | -0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(4)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(3)) + 1.0 * Z(5) + -0.25 * Z(0) + -1.75 * Z(... | 15 | 8 | 3 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["10000000", "11000000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.5177659963294788) q[0];
h q[1];
ry(-1.623404303532015) q[1];
h q[2];
ry(0.8202589649851039) q[2];
h q[3];
ry(0.7033685518814555) q[3];
h q[4];
ry(1.4889805032669121) q[4];
cx q[4], q[2];
ry(-0.8202589649851039) q[2];
cx q[4], q[2];
h q[5];
ry(0.84460063831... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIZIIIIZ",
"IIZIIIZI",
"IIIIIZZI",
"IIIZIZII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIZIIII",
"ZIIIZIII",
"IZZIIIII",
"IZIIIIZI",
"IZIZIIII",
"IZIIZIII",
"IIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IIIIZIII",
"IZIIIIII"
] | [
-0.25,
-0.75,
-0.5,
-0.75,
0.5,
-0.75,
-0.75,
-0.25,
-0.5,
-0.5,
-1,
-0.75,
1,
-0.25,
-1.75,
1,
1.5,
-1.25,
-0.5,
0.25
] | 0.981536 | [
-1.623404303532015,
1.4889805032669121,
1.6405179299702077,
1.6168070806158488,
1.6892012766269737,
-1.0355319926589577,
1.0456182257691826,
1.406737103762911,
-0.7251973209355899,
0.22124766737700627,
-0.30348133941167,
0.18132166678998246,
-0.02893660445447417,
-0.06715041824588869,
0.... | {
"n_parameters": 21,
"n_qubits": 8,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 1 |
71bc29fb36488a293ce19bf05d480b6c | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [14, 7], "expectation_value": -11.896620911381653, "params": null, "bitstrings": ["1110001", "1111000"], "total_optimization_steps": 62, "probabilities": [0.2659414976749875, 0.3663991039278829], "optimization_time": 84.9908857345581} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 *... | 18 | 7 | 2 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6612840374081045) q[0];
rz(-pi) q[1];
ry(-0.03150573110831684) q[1];
h q[2];
ry(-0.43599685318391757) q[2];
h q[3];
h q[4];
ry(1.546350830551531) q[4];
h q[5];
cx q[5], q[2];
ry(0.43599685318391757) q[2];
cx q[5], q[2];
cx q[5], q[0];
ry(0.6612840374081045... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) 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",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
2.25,
-3.75,
-3.25,
-3.25,
-3.25,
-2.75,
-3,
-3.25
] | 0.972365 | [
-1.523491197219107,
-0.20073046165090452,
-0.8719937063678351,
1.546350830551531,
-1.322568074816209,
0.7336476421619882,
-0.5561918284302394,
1.2696012849732945,
-0.16936496001740498,
0.30413099721442094,
-0.6531582873808613,
0.3365504327496698,
-0.7065468577519943,
0.3133726368643047,
... | {
"n_parameters": 38,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 71 |
30ba64f2314d12dd7a4bba52fce6e2f0 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 4, "source": 2, "target": 4}, {"capaci... | {"states": [0, 1], "expectation_value": -4.7722429095364305, "params": [[[-0.0035, 0.46340000000000003], [0.6088, -0.0027], [0.0056, 0.1062], [0.0029000000000000002, 0.5159], [0.0011, 0.26890000000000003], [0.8046000000000001, -0.0034000000000000002]], [[-0.0036000000000000003, 0.0083], [0.6097, 0.008700000000000001], ... | -0.75 * (Z(0) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -1.75 * (Z(2) @ Z(4)) + -0.75 * (Z(1) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + 1.25 * (Z(5) @ Z(0)) + 0.25 * Z(3) + -0.25 * Z(0) + -0.5 * Z(4) + -0.5 * Z(2) + 0.75 * Z(1) + 0.25 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.25, "smallest_bitstrings": ["111110", "101110", "100000"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(0.013998913927963777) q[0];
rz(-0.17149443553368027) q[0];
rx(0.9176296645850912) q[1];
rz(-0.008414519479911217) q[1];
rx(-0.07133329756888002) q[2];
rz(-0.28009948850485156) q[2];
rx(-0.07133329756888002) q[3];
rz(-0.21658522262626537) q[3];
rx(0.050114731907889454... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IZZIII",
"IZIIIZ",
"IZIZII",
"IIIZZI",
"ZIZIII",
"ZIIIIZ",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIIIZI",
"ZIIIII"
] | [
-0.75,
-1,
-0.25,
-1.75,
-0.75,
-1,
1.25,
0.25,
-0.25,
-0.5,
-0.5,
0.75,
0.25
] | 0.974597 | [
0.013998913927963777,
-0.17149443553368027,
0.9176296645850912,
-0.008414519479911217,
-0.07133329756888002,
-0.28009948850485156,
-0.21658522262626537,
0.050114731907889454,
0.09333842897412256,
2.434106439818495,
0.40266511199623956
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 9 |
ad7ba83290870f78ee39f06faaa6d5c0 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [125, 127], "expectation_value": -0.043422509887091315, "params": [[-0.0098, 0.0307], [0.0167, -0.0286]], "bitstrings": ["10000010", "10000000"], "total_optimization_steps": 10, "probabilities": [0.00405021106782377, 0.0040563491035508804], "optimization_time": 3.5463690757751465} | -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 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["10000000", "10000110", "10000010"], "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... | OPENQASM 3.0;
include "stdgates.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": []} | [
"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 |
bbe36c72142a04c8b1698fed3f77c25c | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 3}, {"weight": 16, "source": 0, "target": 2}, {"weight": 12, "source": 0, "target": 4}, {"weight": 18, "source... | {"states": [117, 61], "expectation_value": -20.317483442839976, "params": [[-0.0351, -0.0004, -0.0256], [0.0574, 0.038400000000000004, 0.060500000000000005]], "bitstrings": ["0001010", "1000010"], "total_optimization_steps": 10, "probabilities": [0.023931960922608173, 0.02511086574336168], "optimization_time": 6.689792... | 3.0 * (Z(0) @ Z(1)) + 3.0 * (Z(2) @ Z(1)) + 3.0 * (Z(2) @ Z(0)) + 3.0 * (Z(3) @ Z(1)) + 3.0 * (Z(3) @ Z(0)) + 3.0 * (Z(3) @ Z(2)) + 3.0 * (Z(4) @ Z(0)) + 3.0 * (Z(4) @ Z(2)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) @ Z(4)) + 3.0 * (Z(6) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.0, "smallest_bitstrings": ["1000010"], "largest_eigenvalue": 140.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.016228639223514973) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.016228639223514973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.016228639223514973) q[2];
cx q[0], q[2];
rz(-1.196649630207868) q[0];
rx(1.6249956830407981) q[0];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 5}"} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIIZ",
"IIZIZII",
"IZIIIZI",
"IZIIZII",
"IZZIIII",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
14,
11,
21,
12,
15,
6.5,
15.5
] | 0.981439 | [
-0.016228639223514973,
1.522688419965938,
-1.1966496302078677,
1.624995683040798,
-0.8755811242009026,
0.7452257823272057,
0.2393407597375708,
0.22077208961471634
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 31 |
11576eab70c2ec583415b5e8bd58f9e2 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": ... | {"states": [21, 28], "expectation_value": -3.499901759135221, "params": null, "bitstrings": ["101010", "100011"], "total_optimization_steps": 26, "probabilities": [1.6353512195995074e-05, 0.9999508518713515], "optimization_time": 14.445172309875488} | 0.5 * (Z(0) @ 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(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3716796306065885) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.3716796306065885) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.3716796306065885) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.3716796306065885) q[4];
cx q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"IZZIII",
"ZIIIZI",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-1,
-0.5,
0
] | 0.698312 | [
-0.3716796306065885,
0.8727381071204077,
0.7179543098390148,
-0.19857375753212136,
0.8889599314407369,
-1.5807265779890087,
2.4860629174438844,
1.2068334987105587,
0.4724410059780224
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 259 |
9f95a6b8d69043a5d277b3f4562e53a4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capac... | {"states": [511, 1], "expectation_value": -1.3850428639299328, "params": [[0.0511], [-0.07300000000000001]], "bitstrings": ["1000000000", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.0016410670449157772, 0.0016620869570352843], "optimization_time": 12.934648752212524} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(3)) + -1.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(3)) + -3.0 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(2)) + -1.5 * (Z(7) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 28.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.7879111695786734) q[0];
h q[1];
ry(-1.4825662710152618) q[1];
h q[2];
ry(-1.5758223391573467) q[2];
ry(-0.05832034583528325) q[3];
rz(-pi) q[3];
h q[4];
ry(-1.5758223391573467) q[4];
rz(-pi) q[5];
ry(-0.3737700305674028) q[5];
h q[6];
rz(-pi) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IZIIIIIIIZ",
"IZIIIIZIII",
"IIIIZIIIZI",
"IIIIZIIZII",
"IIIIZIZIII",
"IIZIIIIIZI",
"IIZIIIIZII",
"IIZIIIZIII",
"IIIZIIIIZI",
"IIIZIIIZII",
"IIIZZIIIII",
"IIZZIIIIII",
"ZIIIIIIIIZ",
"ZIIIIIZIII"... | [
-0.25,
-0.75,
-0.75,
-1.5,
-0.25,
-0.5,
-0.5,
-0.75,
-1.5,
-1,
-0.25,
-3,
-1,
-1.5,
-0.5,
-0.25,
-1.5,
-0.25,
2,
-0.5,
-0.25,
-1.5,
-1.5,
-1,
-0.25,
-0.5,
1.5,
-0.25,
1.75,
-1.75,
0.25,
-2,
-3.75,
2.25,
0.75,
1.25
] | 0.97096 | [
-2.1613071108575745,
-1.5447454863324994,
-1.4825662710152618,
-1.5758223391573467,
1.479956722685747,
-0.7607647264218023,
-1.9386036958086086,
0.7225391062238032,
-0.1740739787811622,
0.6152625729227833,
0.43348150699055016,
-0.5775873533904713,
0.2702775860037029,
-1.5897372117565165,
... | {
"n_parameters": 30,
"n_qubits": 10,
"optimal_eigenvalue": -22.5,
"target_ratio": 0.97,
"target_value": -21.825
} | 45 |
-8672227185390543395 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 4, 5, 6], [0, 3, 4, 5, 6], [0, 1, 2, 3, 4, 6, 7], [0, 1, 2, 3, 4, 5, 7], [1, 3, 5, 6, 7]]} | {"states": [231, 175], "expectation_value": -0.578186372933603, "params": [[0.43060000000000004], [-0.4298]], "bitstrings": ["00011000", "01010000"], "total_optimization_steps": 50, "probabilities": [0.007903988949672248, 0.007903988949672256], "optimization_time": 14.46533751487732} | 0.13095238095238093 * (Z(1) @ Z(4)) + 0.15714285714285714 * (Z(5) @ Z(4)) + 0.15714285714285714 * (Z(5) @ Z(1)) + 0.15714285714285714 * (Z(6) @ Z(4)) + 0.15714285714285714 * (Z(6) @ Z(1)) + 0.18333333333333335 * (Z(6) @ Z(5)) + 0.09761904761904762 * (Z(0) @ Z(4)) + 0.047619047619047616 * (Z(0) @ Z(1)) + 0.0738095238095... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.030952380952381], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0309523809523808, "smallest_bitstrings": ["01010000"], "largest_eigenvalue": 4.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.8640898812282656) q[0];
rz(1.3228385995045873) q[0];
rx(-0.16151039527505978) q[1];
rz(1.67848976879222) q[1];
rx(1.4536994035597695) q[2];
rz(2.03771242298348) q[2];
rx(1.6569467025297522) q[3];
rz(1.5828510888907825) q[3];
rx(1.6140514157276593) q[4];
rz(1.678489... | OPENQASM 3.0;
include "stdgates.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... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZI",
"IIZZIIII",
"IIZIIIZI",
"IZIZIIII",
"IZIIIIZI",
"IZZIIIII",
"IIIZIIIZ",
"IIIIIIZZ",
"IIZIIIIZ",
"IZIIIIIZ",
"IIIZZIII",
"IIIIZIZI",
"IIZIZIII",
"IZIIZIII",
"IIIIZIIZ",
"IIIZIZII",
"IIIIIZZI",
"IIZIIZII",
"IZIIIZII",
"IIIIIZIZ",
"IIIIZZII",
"ZIIZIIII",
"ZIIIIIZ... | [
0.13095238095238093,
0.15714285714285714,
0.15714285714285714,
0.15714285714285714,
0.15714285714285714,
0.18333333333333335,
0.09761904761904762,
0.047619047619047616,
0.07380952380952381,
0.07380952380952381,
0.09761904761904762,
0.09761904761904762,
0.12380952380952381,
0.12380952380952... | 0.970208 | [
0.8640898812282655,
-0.2479577272903098,
-0.16151039527505978,
0.10769344199732356,
1.4536994035597692,
0.4669160961885832,
1.6569467025297522,
0.01205476209588649,
1.6140514157276593,
1.8399653807060055,
-0.00900901961365383,
1.456062484377527,
-0.12619916125725522,
1.6258797681984563,
... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -1.030952380952381,
"target_ratio": 0.97,
"target_value": -1.0000238095238096
} | 74 |
16efd0d1722058bdcecd0a47f621047a | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 5}, {"weight": 17, "source": 0, "target": 4}, {"weight": 14, "source": 1, "target": 2}, {"weight": 1... | {"states": [106, 122], "expectation_value": -36.307996635901624, "params": null, "bitstrings": ["10010101", "10000101"], "total_optimization_steps": 100, "probabilities": [0.11792938375629661, 0.18104407076086781], "optimization_time": 180.1486279964447} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(1)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) @ Z(4)) + 3.5 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-66.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 150.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2320663891682014) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.2320663891682014) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.2320663891682014) q[3];
cx q[0], q[3];
rz(-0.8149595538532273) q[0];
rx(-1.000242445136427) q[0];
cx... | null | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"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(8.8595) 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",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
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,
15.5,
10.5,
15,
14,
15,
4,
14,
10
] | 0.769935 | [
0.2320663891682014,
-0.8149595538532274,
0.0868387816876093,
-1.000242445136427,
1.281262008060064,
-1.253765500090689,
-0.48859011360813015,
0.47033374606546463,
-2.483859814368198,
-0.4210188815319589
] | {
"n_parameters": 10,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 289 |
6ba19468e6c5e5082f99c29552d3272c | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [1482, 1226], "expectation_value": -113.8721586420203, "params": [0.9067000000000001, 0.001, -0.001, -0.32530000000000003, 0.4732, 0.23950000000000002, 0.8337, -0.0417, 0.8988, 0.0281, 0.42010000000000003, 0.3304, -0.0091, 0.015300000000000001, 0.9031, 0.0014, 0.2281, 0.4283, 0.8969, -0.0006000000000000001, ... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(4) @ Z(2)) + 8.0 * (Z(5) @ Z(0)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(6) @ Z(3)) + 8.0 * (Z(7) @ Z(2)) + 8.0 * (Z(7) @ Z(4)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(9) @ Z(2)) + 8.0 * (Z(9) @ Z(4)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(10) @ Z(9)) + 7.5 * Z(0) + -6.5 * Z(1) + 20.0 *... | 4 | 11 | 3 | {"smallest_eigenvalues": [-140.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -118.5, "smallest_bitstrings": ["01100110101"], "largest_eigenvalue": 190.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.59566002304461) q[0];
ry(-0.04627544935789368) q[1];
ry(-0.19835683630421863) q[2];
ry(1.1496475053642552) q[3];
ry(1.6034484102893993) q[4];
ry(-0.03350944038619226) q[5];
ry(-0.11809811984486834) q[6];
ry(0.04000024070580695) q[7];
ry(-0.016866784589919442) 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, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIZIIIIZ",
"IIIIIZZIIII",
"IIIIZIIZIII",
"IIIZIIIIZII",
"IIIZIIZIIII",
"IIZZIIIIIII",
"IZIIIIIIZII",
"IZIIIIZIIII",
"IZIZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIIZIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
7.5,
-6.5,
20,
5.5,
22,
3.5,
-7.5,
25,
-3,
25.5,
-5.5
] | 0.974101 | [
0.59566002304461,
-0.04627544935789368,
-0.19835683630421863,
1.1496475053642552,
1.6034484102893993,
-0.03350944038619226,
-0.11809811984486834,
0.04000024070580695,
-0.016866784589919442,
1.054978435777813,
1.5993207690557243,
0.029653818988561616,
0.0551534475373922,
0.04781913380972297... | {
"n_parameters": 42,
"n_qubits": 11,
"optimal_eigenvalue": -140.5,
"target_ratio": 0.97,
"target_value": -136.285
} | 32 |
a33d8bdcf7e6f27943edb67db9816bff | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 3, "target": 4},... | {"states": [1408, 1535], "expectation_value": -4.8101151427088285, "params": [[-0.0784], [0.0787]], "bitstrings": ["01001111111", "01000000000"], "total_optimization_steps": 10, "probabilities": [0.0014239298511854665, 0.0014835881589912937], "optimization_time": 2.2902700901031494} | 0.5 * (Z(1) @ Z(2)) + -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -3.0 * (Z(4) @ Z(5)) + -3.5 * (Z(8) @ Z(5)) + -2.5 * (Z(8) @ Z(4)) + 1.5 * (Z(9) @ Z(5)) + -3.0 * (Z(9) @ Z(4)) + -3.0 * (Z(9) @ Z(8)) + -3.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 1.0 * (Z(6) @ Z(8)) + 1.0 * (Z(6) @ Z(9)) + -3.5... | 1 | 11 | 1 | {"smallest_eigenvalues": [-39.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -38.5, "smallest_bitstrings": ["01000000000"], "largest_eigenvalue": 39.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.06186212785300325) q[1];
cx q[2], q[1];
rz(1.589487080479456) q[1];
rx(1.0314524121411457) q[1];
cx q[2], q[0];
rz(0.8034554290170839) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.8034554290170839) q[3];
cx q[2], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIIIIZIIZ",
"IIIIIZZIIII",
"IIZIIZIIIII",
"IIZIIIZIIII",
"IZIIIZIIIII",
"IZIIIIZIIII",
"IZZIIIIIIII",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IIZIZIIIIII",
"IZIIZIIIIII",
"ZIIIIZIIIII",
"ZIIIIIZIIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"ZIIIZIIII... | [
0.5,
-2,
-2,
0.5,
-3,
-3.5,
-2.5,
1.5,
-3,
-3,
-3,
0.5,
1,
1,
-3.5,
1,
1.5,
-3.5,
-2.5,
1.5,
1,
-3.5,
-3,
-3,
-3,
-2,
-1,
1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.553832 | [
0.06186212785300325,
0.8034554290170839,
0.5953150477262196,
0.5144256647545165,
0.7202635968221551,
0.33340085991479324,
0.27464650609153685,
1.5894870804794559,
1.0314524121411457
] | {
"n_parameters": 9,
"n_qubits": 11,
"optimal_eigenvalue": -39.5,
"target_ratio": 0.97,
"target_value": -38.315
} | 251 |
8c44c442a25e00dfae4e1647b2faf79f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}]} | {"states": [10, 42], "expectation_value": -0.5248744683772376, "params": [0.4012, 0.030000000000000002, 0.3144, 0.067, 0.39690000000000003, 0.0176, 0.3141, 0.1073, 0.40440000000000004, 0.16920000000000002, 0.1829, 0.1655, 0.39790000000000003, 0.038700000000000005, 0.3098, 0.068, 0.3976, 0.0371, 0.3186, 0.10980000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3... | 18 | 6 | 4 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.0, "smallest_bitstrings": ["010011", "100101", "001101", "010101", "001110", "011010", "110001"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022216824968526526) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022216824968526526) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022216824968526526) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.6284369302106981) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZIIIZ",
"IZZIII",
"IZZIIZ",
"IIZIZI",
"ZZIIII",
"ZIIZII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5
] | 0.720045 | [
0.022216824968526526,
0.6284369302106981,
-1.317266113042237,
0.027624710446691313,
-0.865652482486156
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 144 |
e3b2e5c778746acb9d093fbca6fb34ea | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [245, 229], "expectation_value": -85.92888637547956, "params": [[[0.7987000000000001, 0.0216], [0.7012, 0.027800000000000002], [0.634, 0.0408], [0.7010000000000001, 0.0675], [0.36300000000000004, 0.0608], [0.0086, 0.36100000000000004], [0.7035, 0.3784], [0.1, 0.5701], [-0.037200000000000004, 0.97720000000000... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(3) @ Z(0)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(2) @ Z(4)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(8) @ Z(0)) + 6.5 * (Z(8) @ Z(3)) + 9.0 * Z(1) + 9.0 * Z(0) + 22.5 * Z(3) + 8.5 * Z(4) + 16.0 * Z(2) + 5.0 * Z(5) ... | 15 | 9 | 4 | {"smallest_eigenvalues": [-94.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.5, "smallest_bitstrings": ["100011010"], "largest_eigenvalue": 154.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.9866106525553631) q[0];
ry(0.6639430553794307) q[1];
ry(0.7748672623337184) q[2];
ry(0.6777459190575106) q[3];
ry(0.12153515839778145) q[4];
ry(-0.10777412694961605) q[5];
ry(0.8804566900751376) q[6];
ry(-0.126469714744813) q[7];
ry(-0.01989692055703494) q[8];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIIIZZII",
"IIIIZIZII",
"IIIZIIZII",
"IIZZIIIII",
"IZZIIIIII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"IIIIIIZII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
9,
9,
22.5,
8.5,
16,
5,
8.5,
-5.5,
10
] | 0.975947 | [
0.9866106525553631,
0.6639430553794307,
0.7748672623337184,
0.6777459190575106,
0.12153515839778145,
-0.10777412694961605,
0.8804566900751376,
-0.126469714744813,
-0.01989692055703494,
0.07141276670122819,
0.08613433896698114,
0.013583663395173017,
-0.05236036703523762,
0.03714954281181006... | {
"n_parameters": 71,
"n_qubits": 9,
"optimal_eigenvalue": -94.5,
"target_ratio": 0.97,
"target_value": -91.66499999999999
} | 34 |
24ad81747c6bd1903cd58d045c41656e | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 7}, {"weight": 15, "source": 0, "target": 6}, {"weight": 4, "source": 2, "tar... | {"states": [411, 218], "expectation_value": -10.612021518556173, "params": [[0.049800000000000004], [-0.0813]], "bitstrings": ["001100100", "100100101"], "total_optimization_steps": 10, "probabilities": [0.004711072691150334, 0.005055070034785386], "optimization_time": 2.0005805492401123} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(7)) + 16.5 * Z(2) + 5.0 * Z(0) + 16.5 * ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 145.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.18987318583714946) q[0];
rz(0.08611570117784861) q[0];
rx(3.008708522618427) q[1];
rz(0.37688852047103694) q[1];
rx(3.172182647066266) q[2];
rz(0.05701815205645913) q[2];
rx(-0.05299085269519477) q[3];
rz(0.0924171370297011) q[3];
rx(2.8889981301055943) q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[2],... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIZIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
16.5,
5,
16.5,
10,
2,
6.5,
2,
14.5,
14
] | 0.974941 | [
0.1898731858371494,
0.09588051186810906,
3.008708522618427,
0.37688852047103694,
3.172182647066266,
0.05701815205645913,
-0.05299085269519477,
0.0924171370297011,
2.8889981301055943,
-0.24767705590774858,
3.2637002917143807,
0.06598201778939591,
0.0961968789558263,
-0.15922885735698689,
... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -72.5,
"target_ratio": 0.97,
"target_value": -70.325
} | 8 |
8859020971153487979 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 6], [0, 6], [3, 4], [4, 5], [4, 6], [2, 5], [3, 5], [1, 2], [2, 6], [1, 5], [1, 4], [1, 6], [0, 1]]} | {"states": [35, 92], "expectation_value": -0.11527685571864021, "params": [[-0.061900000000000004], [0.0737]], "bitstrings": ["1011100", "0100011"], "total_optimization_steps": 10, "probabilities": [0.008832354216459101, 0.008832354216459101], "optimization_time": 0.864729642868042} | 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["1011100", "0100011"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[3];
rz(-0.4839830063064584) q[3];
cx q[6], q[3];
cx q[6], q[0];
rz(-0.4839830063064584) q[0];
cx q[6], q[0];
cx q[6], q[4];
rz(-0.4839830063064584) q[4];
cx q[6], q[4];
cx q[3], q[4];
rz(-0.4839830063064... | 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[6], q[3];
rz(x0) q[3];
cx q[6], q[3];
cx q[6], q[0];
rz(x0) q[0];
cx q[6], q[0];
cx q[6], q[4];
rz(x0) q[4];
cx q[6], q[4];
cx q[3], q[4];
... | null | {"circuits": [], "gradients": []} | [
"ZIIZIII",
"ZIIIIIZ",
"ZIZIIII",
"IIZZIII",
"IZIZIII",
"IZZIIII",
"ZIIIZII",
"IZIIZII",
"ZIIIIZI",
"IIIIIZZ",
"IIZIIZI",
"IZIIIZI",
"IIIIZZI",
"ZIIIIII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"IIIIZII",
"IIIIIZI"
] | [
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
] | 0.43949 | [
-0.4839830063064584,
-7.2775806740088215e-9,
0.6294268405308465
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 96 |
a6e15f3d5d0d57da2b41d67529c98500 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target":... | {"states": [508, 511], "expectation_value": -3.5757135120424053, "params": [[-0.0616], [0.0748]], "bitstrings": ["000000011", "000000000"], "total_optimization_steps": 10, "probabilities": [0.004202051072302151, 0.004202051072302153], "optimization_time": 2.5918726921081543} | -3.0 * (Z(0) @ Z(2)) + 1.0 * (Z(4) @ Z(2)) + -3.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + -3.0 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -3.0 * (Z(6) @ Z(0)) + -3.0 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 1.5 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(4)) + -3.0 * (Z(1) @ Z(5)) + -3.0... | 5 | 9 | 1 | {"smallest_eigenvalues": [-33.0, -33.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -32.0, "smallest_bitstrings": ["000000000", "000000011"], "largest_eigenvalue": 26.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.5869293518580443) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(0.3314258270673372) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.5555441508254739) q[4];
cx q[0], q[4];
h q[5];
cx q[2], q[5];
rz(0.11724520191233448) q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2],... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZIIIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIZZIIII",
"IIZIIIZII",
"IIZIIIIIZ",
"IIZIZIIII",
"IIZZIIIII",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIZIIIZI",
"IIZIIIIZI",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIZZIII",
"IIIZIZIII",
"IIZIIZIII",
"IIIIIZIZI",
"... | [
-3,
1,
-3.5,
0.5,
-3,
-3,
0.5,
-3,
-3,
1.5,
0.5,
1.5,
-3,
-3,
-3,
-2.5,
1,
-3.5,
1,
1,
-3,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
1
] | 0.54754 | [
0.5869293518580443,
0.3314258270673372,
0.5555441508254739,
0.11724520191233448,
0.3892923681803767,
0.671506780121363,
1.3255337221162977,
0.7170524369203495,
1.0239343834142822
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -33,
"target_ratio": 0.97,
"target_value": -32.01
} | 236 |
-87311923258007001 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 6], [2, 5], [0, 1, 4], [1, 2, 7], [0, 1, 3, 5], [8, 5, 7], [2, 3, 6], [4, 5], [1, 3, 6], [8, 4], [0, 1, 5, 6, 7]]} | {"states": [171, 427], "expectation_value": -2.4984235614851538, "params": [1.2998, 0.22970000000000002, 1.0812000000000002, 0.0035, 1.2888000000000002, 0.1033, 1.2412, 0.008400000000000001, 1.1979, -0.0017000000000000001, 0.36860000000000004, 0.0015, 1.2970000000000002, 0.1159, 1.2637, 0.009300000000000001, 1.1886, 0.... | 0.16666666666666666 * (Z(8) @ Z(1)) + 0.3833333333333333 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.13333333333333333 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.05 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.3 * (Z(0... | 6 | 9 | 1 | {"smallest_eigenvalues": [-3.0333333333333337], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.033333333333332, "smallest_bitstrings": ["001010100"], "largest_eigenvalue": 9.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.3597385057753208) q[0];
rz(1.5152088375806105) q[0];
rx(1.6069938213984873) q[1];
rz(1.5925153781735304) q[1];
rx(1.385391876620736) q[2];
rz(1.5685681226130015) q[2];
rx(1.5073516438422645) q[3];
rz(1.556364062928811) q[3];
rx(0.4220746457772766) q[4];
rz(1.666121... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIZI",
"IIZIIIIZI",
"ZIZIIIIII",
"IIIIIIZZI",
"IIZIIIZII",
"IIIZIIIZI",
"ZIIZIIIII",
"IIZZIIIII",
"IIIZIIZII",
"IIIIIIIZZ",
"IIZIIIIIZ",
"IIIZIIIIZ",
"IIIIZIIZI",
"ZIIIZIIII",
"IIIZZIIII",
"IIIIZIIIZ",
"IZIIIIIZI",
"ZZIIIIIII",
"IZZIIIIII",
"IZIIIIZII",
"IZIZIIIII",
"... | [
0.16666666666666666,
0.3833333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.13333333333333333,
0.16666666666666666,
0.05,
0.5,
0.3,
0.05,
0.13333333333333333,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.21666666666666667,
0.16666666666666666,... | 0.97071 | [
1.3597385057753208,
-0.05558748921428612,
1.6069938213984871,
0.021719051378633933,
1.385391876620736,
-0.0022282041818955725,
1.5073516438422647,
-0.014432263866086101,
0.4220746457772766,
0.09532493607008673,
1.2926424807004455,
-0.0664393259420764,
2.440892878901896,
-0.0430982763016378... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -3.0333333333333337,
"target_ratio": 0.97,
"target_value": -2.9423333333333335
} | 116 |
ecdfa6719727c874685bdf2e4be77fdf | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 6}, {"weight": 12, "source": 1, "target": 2}, {"weight": 1, "source": 2, "targ... | {"states": [221, 218], "expectation_value": -29.30962322864669, "params": [[-0.0371, -0.0098, 0.020200000000000003, -0.0086], [0.0761, 0.0665, 0.054900000000000004, 0.06380000000000001]], "bitstrings": ["100100010", "100100101"], "total_optimization_steps": 10, "probabilities": [0.011725854841822697, 0.0147391586825966... | 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(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(7)) + 13.0 * Z(1) + 4.0 * Z(0) + 10.5 * ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 142.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.1600009174123589) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.1600009174123589) q[2];
cx q[0], q[2];
rz(-0.7719264209641086) q[0];
rx(-0.132126651824934) q[0];
h q[3];
cx q[2], q[3];
rz(-0.1600009174123589) q[3];
cx q[2], q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIIZI",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
13,
4,
10.5,
5,
16.5,
11.5,
8,
10.5,
4.5
] | 0.95037 | [
-0.1600009174123589,
0.8135875551295041,
-0.7719264209641092,
0.3112642997869111,
-1.1107828918886062,
-0.0035859949432012327,
0.25353739314454043,
-1.4782590457539677,
-0.13212665182493402,
0.04029037999209201,
0.9336532585928261,
-0.45999796928967995,
1.4560523182964364,
-0.1298961412366... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -72,
"target_ratio": 0.97,
"target_value": -69.84
} | 500 |
b2c25a19a038d07471a5450910ba4971 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [6, 10], "expectation_value": -0.17059272120166052, "params": [[0.0721, 0.0692], [-0.059000000000000004, -0.060500000000000005]], "bitstrings": ["11001", "10101"], "total_optimization_steps": 10, "probabilities": [0.03691799864575808, 0.03700810014486039], "optimization_time": 2.3353261947631836} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -1.0 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.25, "smallest_bitstrings": ["11100", "11010", "11001", "10101"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.016234704253647998) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-0.010386543699948906) q[1];
h q[2];
h q[3];
ry(1.1585700450953158) q[3];
h q[4];
ry(-0.5085847075913551) q[4];
cx q[2], q[4];
ry(0.5085847075913551) q[4];
cx q[2], q[4];
ry(-0.2519288651435193) q[4];
cx q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIZZI",
"IZIIZ",
"ZIIZI",
"IZZII",
"ZIZII",
"ZZIII",
"ZZZII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
-1,
-0.5,
-0.25,
-0.25,
-0.25
] | 0.987557 | [
-1.6083798548905424,
-1.580119373751702,
1.1585700450953158,
-1.0171694151827102,
0.8689899356169645,
-0.5038577302870386,
0.5447428831437316,
0.28835851723029476,
-0.27941569527661547,
-0.0021269934862870876,
0.08523768570425198,
-0.12057589076085368,
0.1076364646985875,
0.109842316070757... | {
"n_parameters": 14,
"n_qubits": 5,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
32087ba2b3a645f34fcdf9295fac10e1 | 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": 3, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 8}, {"capacity": 6, "source": 0, "target":... | {"states": [516, 772], "expectation_value": -22.025407911635302, "params": [-0.2081, 0.20670000000000002, 1.3201, 1.2693, 0.5298, 0.5063, -0.00030000000000000003, 0.0044, -0.0048000000000000004, 0.013600000000000001, 0.0092, -0.0023, 0.0018000000000000002, 0.010700000000000001, 0.0046, 0.0108, 1.5501, 1.3547, 0.0084000... | -0.75 * (Z(0) @ Z(4)) + -1.25 * (Z(9) @ Z(4)) + -1.5 * (Z(9) @ Z(0)) + -0.75 * (Z(2) @ Z(4)) + 2.5 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(9)) + -0.75 * (Z(1) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(6) @ Z(1)) + -1.5 * (Z(6) @ Z(3)) + -1.25 * (Z(8) @ Z(4)) + -1.25 * (Z(8) @ Z(2)) + -1.75 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @... | 13 | 11 | 2 | {"smallest_eigenvalues": [-23.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["10011111011"], "largest_eigenvalue": 27.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.15345925370427768) q[0];
rz(pi/2) q[0];
ry(0.2801706530422062) q[1];
ry(0.4465458919548898) q[2];
ry(0.1526416122906699) q[3];
ry(0.18636036304440504) q[4];
ry(0.18636036304440504) q[5];
ry(0.010973940156952355) q[6];
ry(0.022193870704721536) q[7];
ry(-0.273157614... | OPENQASM 3.0;
include "stdgates.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",
"IIIIIIZIZII",
"IIIIIIIIZIZ",
"IZIIIIIIZII",
"IIIIIIZIIZI",
"IIIIIIIZIZI",
"IIIIZIIIIZI",
"IIIIZIIZIII",
"IIZIIIZIIII",
"IIZIIIIIZII",
"IIZIIIIIIZI",
"IIZIIIIZIII",
"IIZIZIIIIII",
"ZZIIIIIIIII",
"ZIIIIIIIIZI",
"IZIIIZIIIII",
"IIIIIZIZI... | [
-0.75,
-1.25,
-1.5,
-0.75,
2.5,
-1,
-0.75,
-0.5,
-0.25,
-1.5,
-1.25,
-1.25,
-1.75,
-0.5,
-0.75,
-1,
-1.75,
-1.5,
-1.5,
-1.75,
-0.25,
-0.25,
-0.5,
-0.75,
-1,
-0.25,
-2.5,
-0.5,
5,
1.5,
-2.5,
2,
-3.25,
2.25,
-0.75
] | 0.973063 | [
0.15345925370427768,
0.2801706530422062,
0.4465458919548898,
0.1526416122906699,
0.18636036304440504,
0.010973940156952355,
0.022193870704721536,
-0.2731576140760748,
-0.02797266497076164,
0.05416441312680194,
0.9213375838571042,
-0.9598445936964813,
-0.020206003816795423,
-1.0091097129636... | {
"n_parameters": 164,
"n_qubits": 11,
"optimal_eigenvalue": -23.5,
"target_ratio": 0.97,
"target_value": -22.794999999999998
} | 15 |
45f5dc2f36ec8578f56a8a2b99d776b3 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [783, 527], "expectation_value": -57.80736736441128, "params": [0.8029000000000001, -0.0027, 0.5144000000000001, 0.20770000000000002, -0.0012000000000000001, 0.4848, -0.0002, 0.44160000000000005, -0.0035, 0.40900000000000003, 0.5388000000000001, 0.2812, 0.8024, 0.2936, 0.7948000000000001, 0.3538, 0.8044, 0.0... | 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(2) @ Z(0)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(7) @ Z(5)) + 7.5 * (Z(9) @ Z(1)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(4) @ Z(8)) + 10.0 * Z(0) + 4.5 * Z(1) + -6.0 * Z(2) + 9.0 * Z(6) + 4.5 * Z(5) + 6.0 * Z(7) + 7.5 * Z(9) + 6.5 * Z(8) + -5.0 * Z(4) + -13.0 * Z(3) | 16 | 10 | 3 | {"smallest_eigenvalues": [-84.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.0, "smallest_bitstrings": ["0111110000"], "largest_eigenvalue": 110.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.9013052627447066) q[0];
rz(0.12675918152529198) q[0];
rx(-0.13229097192618527) q[1];
rz(0.32323162431092245) q[1];
cx q[1], q[0];
rz(-0.09731888666701476) q[0];
cx q[1], q[0];
rx(0.7933798658290971) q[0];
rz(-0.10012995838975858) q[0];
rz(-0.2771266941293069) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIZZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"ZIIIIIIIZI",
"ZZIIIIIIII",
"IZIIIZIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIZIIIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIIIIZIIII",
"IIIIIIZIII"
] | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
10,
4.5,
-6,
9,
4.5,
6,
7.5,
6.5,
-5,
-13
] | 0.97613 | [
0.9013052627447067,
0.02944029485827737,
-0.13229097192618527,
0.32323162431092245,
0.10084102822283662,
0.461142833516994,
0.0400737487847526,
0.44108520635484155,
0.027852016766177795,
0.46263291529952055,
0.2731887963818802,
0.32999569126123884,
1.2157581519304501,
0.10287456736584688,
... | {
"n_parameters": 83,
"n_qubits": 10,
"optimal_eigenvalue": -84,
"target_ratio": 0.97,
"target_value": -81.48
} | 16 |
8934637782739148275 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[4, 5], [1, 5], [0, 5], [1, 4], [2, 5], [2, 3], [3, 4], [0, 1], [1, 3]]} | {"states": [21, 26], "expectation_value": -2.1453054954512925, "params": null, "bitstrings": ["101010", "100101"], "total_optimization_steps": 39, "probabilities": [0.12213132939390671, 0.6228573547530658], "optimization_time": 33.38079881668091} | 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.5, "smallest_bitstrings": ["111010", "101010", "100101", "011010", "010101", "000101"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[4];
rz(0.5595858094910207) q[4];
cx q[5], q[4];
cx q[5], q[1];
rz(0.5595858094910207) q[1];
cx q[5], q[1];
cx q[4], q[1];
rz(0.5595858094910207) q[1];
cx q[4], q[1];
cx q[4], q[3];
rz(0.5595858094910207) q[3];
c... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[4], q[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 ... | [
"ZZIIII",
"ZIIIZI",
"IZIIZI",
"ZIIIIZ",
"IIIIZZ",
"ZIIZII",
"IZZIII",
"IIZIZI",
"IIZZII",
"ZIIIII",
"IZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.527334 | [
0.5595858094910207,
-3.3443464174974123e-9,
-0.6688539577940033
] | {
"n_parameters": 3,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 102 |
3115647320033794844 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[2, 3], [1, 3], [0, 1]]} | {"states": [5, 6], "expectation_value": -1.3448396588962441, "params": null, "bitstrings": ["1010", "1001"], "total_optimization_steps": 18, "probabilities": [0.0562534267794353, 0.848595631511367], "optimization_time": 8.008291959762573} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(0) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.5, -1.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.5, "smallest_bitstrings": ["1001", "0110"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.9359294885274897) q[2];
cx q[3], q[2];
rz(3.756293942558386e-09) q[2];
rx(0.7853981388251743) q[2];
cx q[3], q[1];
rz(-0.9359294885274897) q[1];
cx q[3], q[1];
cx q[1], q[0];
rz(-0.9359294885274897) q[0];
cx q[1], q[0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncry(-1.0342) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh... | [
"ZZII",
"ZIZI",
"IIZZ",
"ZIII",
"IZII",
"IIZI",
"IIIZ"
] | [
0.5,
0.5,
0.5,
0,
0,
0,
0
] | 0.586724 | [
-0.9359294885274897,
3.756293683506717e-9,
0.7853981388251744
] | {
"n_parameters": 3,
"n_qubits": 4,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 100 |
68c7da6fdb681219b05150137870d7db | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}]} | {"states": [0, 1], "expectation_value": -2.3199471750781533, "params": [[[0.006500000000000001, 0.1385], [0.0007, 0.3201], [0.0019, 0.21780000000000002], [0.3975, -0.0021000000000000003]], [[0.007, 0.0775], [0.005200000000000001, 0.31720000000000004], [0.004200000000000001, 0.2848], [0.3985, -0.0021000000000000003]], [... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + 1.25 * (Z(3) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + 1.25 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["1110"], "largest_eigenvalue": 4.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.4747694771302854) q[0];
cx q[1], q[0];
rz(0.4747694771302853) q[1];
rx(1.6040217911993713) q[1];
h q[2];
cx q[0], q[2];
rz(0.2577776396192456) q[2];
cx q[0], q[2];
rz(0.2577776396192455) q[2];
rx(1.6040217911993713) q[2];
h q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZIZ",
"ZIIZ",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
-0.25,
-0.75,
1.25,
-0.25,
-0.25,
-0.75,
1.25
] | 0.97003 | [
0.4747694771302854,
0.2577776396192456,
-0.24792115441309612,
1.6040217911993713,
0.6580701942906415,
0.4924019843505966,
-0.4259244675879271,
0.9035120634644073,
0.1777470916142513,
0.29049043206086195,
-0.40365758275486097,
0.5898445102530697,
0.6900131868427873,
0.7498956364737696,
-0... | {
"n_parameters": 16,
"n_qubits": 4,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 121 |
4700601e722e5f0a0c40acc2968ffc97 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [49, 21], "expectation_value": -2.23595991014814, "params": null, "bitstrings": ["001110", "101010"], "total_optimization_steps": 25, "probabilities": [0.10409742217291358, 0.8722896787888064], "optimization_time": 22.162676572799683} | 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 | 4 | {"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... | 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(-1.5486) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"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 |
8013599638414089011 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 4, 7], [1, 4], [1, 2, 5, 6], [0, 1, 2, 3], [0, 3, 6], [3, 5]]} | {"states": [59, 174], "expectation_value": -0.4166323058679121, "params": [[-0.24330000000000002], [0.2461]], "bitstrings": ["11000100", "01010001"], "total_optimization_steps": 30, "probabilities": [0.0073674913421924, 0.0073722081342007025], "optimization_time": 3.2439043521881104} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.9166666666666665, "smallest_bitstrings": ["10001100", "01010001"], "largest_eigenvalue": 5.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(4.9081693240796555e-09) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(3.2808580780492505e-08) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(3.2808580780492505e-08) q[4];
cx q[0], q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
r... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIZIZII",
"IIIZIIIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIIZZI",
"IIIIIIZZ",
"IIIZIIZI",
"IIZIIZII",
"IIZIIIZI",
"IZIIIZII",
"IZIIIIIZ",
"IZIIIIZI",
"IZZIIIII",
"IIIIZZII",
"IIIIZIIZ",
"IIIIZIZI",
"IIZIZIII",
"IZIIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIII... | [
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333... | 0.83552 | [
4.9081693240796555e-9,
3.2808580780492505e-8,
-3.1415925507085314,
-0.8224183048627508,
-1.5707963241654213,
-1.570796325336868,
1.5707962699053906,
-1.5707964571872741,
1.5707963191732708
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 391 |
e7056fbb187e68baa5d05b0b9cb6a901 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 2}, {"weight": 19, "source": 1, "target": 2}, {"weight": 11, "source": 1, "target": 3}, {"weight": ... | {"states": [174, 122], "expectation_value": -10.357146197868566, "params": [[0.005, -0.0446], [-0.0122, 0.057600000000000005]], "bitstrings": ["01010001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.006539852095624531, 0.0071001327478003515], "optimization_time": 4.362319469451904} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-73.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 166.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.3483964545021323) q[0];
h q[1];
ry(1.3483964545021323) q[1];
h q[2];
ry(-1.5377717834128013) q[2];
h q[3];
ry(-0.5718354355912505) q[3];
ry(-0.060597795734454125) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[3];
ry(0.5718354355912505) q[3];
cx q[5], q[3];
ry(-0.5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIZII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
15.5,
12,
23.5,
12.5,
16.5,
9.5,
16.5,
0.5
] | 0.996817 | [
-1.5377717834128013,
-1.4355349010589802,
1.3483964545021323,
-1.143670871182501,
0.7256483222204215,
-0.3397090750168832,
0.4854071333661133,
-0.3806094686092039,
0.2510875381992757,
-0.09032787450619814,
0.08059260300373108,
0.19771184529814245,
-0.14932726000292476,
-0.10015168483220893... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
57e4a42254a59ee532f799c4c74dbbc5 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 0, ... | {"states": [65, 33], "expectation_value": -13.814109408373914, "params": null, "bitstrings": ["10111110", "11011110"], "total_optimization_steps": 29, "probabilities": [0.30275900946009937, 0.49999904538896256], "optimization_time": 27.072453260421753} | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -2.75 * (Z(4) @ Z(3)) + -1.5 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(4)) + -3.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(3) + 0.0 * Z(5) + 2.5 * Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-17.75, -17.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.75, "smallest_bitstrings": ["11111110", "11011110"], "largest_eigenvalue": 17.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.005854303607264674) q[0];
rz(0.3960597459368831) q[0];
rx(-0.013489921067996584) q[1];
rz(0.8659527247617227) q[1];
rx(0.693863413275396) q[2];
rz(-0.07052575540604744) q[2];
rx(0.07980093795002999) q[3];
rz(0.23434034951631544) q[3];
rx(-0.05568818637921519) q[4]... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.57) 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... | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIZIII",
"ZIIIIIIZ",
"IIZIIZII",
"IIIZZIII",
"IZIIIIZI",
"IZZIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII"
] | [
-0.25,
-1.5,
-1.5,
-0.5,
-0.25,
2.5,
-0.5,
-2.75,
-1.5,
-1.25,
-0.25,
-3.25,
-0.25,
0.5,
0,
2.5,
0.5,
-0.5,
0.5
] | 0.977064 | [
-0.005854303607264674,
0.5558932394584737,
-0.013489921067996583,
0.6906493351292241,
0.6938634132753959,
0.052719814559119754,
0.07980093795002999,
0.4969877308788506,
-0.05568818637921519,
0.7924222696935164,
0.07016453342192276,
0.8263182994596178,
0.18091812245774114,
-0.56424050298015... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -17.75,
"target_ratio": 0.97,
"target_value": -17.2175
} | 8 |
68c7da6fdb681219b05150137870d7db | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}]} | {"states": [5, 1], "expectation_value": -4.7499873347537624, "params": null, "bitstrings": ["1010", "1110"], "total_optimization_steps": 8, "probabilities": [1.2623559847835846e-05, 0.9999873681076068], "optimization_time": 3.3486955165863037} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + 1.25 * (Z(3) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + 1.25 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["1110"], "largest_eigenvalue": 4.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.4747694771302854) q[0];
cx q[1], q[0];
rz(0.4747694771302853) q[1];
rx(1.6040217911993713) q[1];
h q[2];
cx q[0], q[2];
rz(0.2577776396192456) q[2];
cx q[0], q[2];
rz(0.2577776396192455) q[2];
rx(1.6040217911993713) q[2];
h q[3];
cx q... | null | {"source": 0, "sink": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\n... | [
"IIZZ",
"IZIZ",
"ZIIZ",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
-0.25,
-0.75,
1.25,
-0.25,
-0.25,
-0.75,
1.25
] | 0.97003 | [
0.4747694771302854,
0.2577776396192456,
-0.24792115441309612,
1.6040217911993713,
0.6580701942906415,
0.4924019843505966,
-0.4259244675879271,
0.9035120634644073,
0.1777470916142513,
0.29049043206086195,
-0.40365758275486097,
0.5898445102530697,
0.6900131868427873,
0.7498956364737696,
-0... | {
"n_parameters": 16,
"n_qubits": 4,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 121 |
eedfffae46889ceabb09be93decddfde | 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": 20, "source": 1, "target": 2}, {"weight": 4, "source": 2, "target": 3}, {"... | {"states": [237, 109], "expectation_value": -41.75920082181193, "params": null, "bitstrings": ["00010010", "10010010"], "total_optimization_steps": 100, "probabilities": [0.11663204833185992, 0.1955299066352513], "optimization_time": 176.5417125225067} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 2.0 * Z(0) + 18.0 * ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 138.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(4.217220369268761e-08) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(4.217220369268761e-08) q[1];
cx q[2], q[1];
rz(1.2027812523740522e-08) q[2];
rx(1.5707964081955679) q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[0], q[6];
rz(4.21722036... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(9.9081) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIZII",
"IIIZZIII",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
2,
18,
6,
19.5,
14.5,
5,
7.5
] | 0.555556 | [
4.217220369268761e-8,
1.2027812282288794e-8,
1.5707961882202157,
1.570796334854686,
-1.5707962765535362,
1.570796408195568
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 169 |
bbe36c72142a04c8b1698fed3f77c25c | 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": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [86, 89], "expectation_value": -0.24445515081556546, "params": [[-0.0512, -0.053200000000000004, -0.0432, -0.027200000000000002], [0.06420000000000001, 0.0683, 0.06470000000000001, 0.049300000000000004]], "bitstrings": ["0101001", "0100110"], "total_optimization_steps": 10, "probabilities": [0.01180039223961... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 1 | 7 | 4 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.25, "smallest_bitstrings": ["0101100", "1001001", "0100110", "1000110", "1000011", "0101001"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.016228639223514973) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.016228639223514973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.016228639223514973) q[2];
cx q[0], q[2];
rz(-1.196649630207868) q[0];
rx(1.6249956830407981) q[0];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIIZZII",
"IIZIZII",
"IIZZIII",
"IIIZZIZ",
"IIZIZIZ",
"IIZZIIZ",
"IIZZZII",
"IIZZZIZ",
"IIIIZZI",
"IZIIIZI",
"ZIIIIZI",
"IZIIZII",
"ZIIIZII",
"ZZIIIII",
"IZIIZZI",
"ZIIIZZI",
"ZZIIIZI",
"ZZIIZII",
"ZZIIZZI",
"IZIZIII",
"ZIZ... | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
-0.125,
-0.125,
0.25,
-0.125,
-0.125,
-0.125,
-0.125
] | 0.981439 | [
-0.016228639223514973,
1.522688419965938,
-1.1966496302078677,
1.624995683040798,
-0.8755811242009026,
0.7452257823272057,
0.2393407597375708,
0.22077208961471634
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 31 |
7c42f5cbaf3924d31d7b57a9c6bb4341 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 1}, {"capaci... | {"states": [7166, 7678], "expectation_value": -16.96007616243199, "params": null, "bitstrings": ["0010000000001", "0001000000001"], "total_optimization_steps": 100, "probabilities": [0.09227745111348416, 0.676988273225044], "optimization_time": 398.3000326156616} | 0.5 * (Z(5) @ Z(10)) + 2.0 * (Z(11) @ Z(10)) + 1.0 * (Z(11) @ Z(5)) + 0.5 * (Z(6) @ Z(10)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(11)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(4) @ Z(10)) + -1.0 * (Z(4) @ Z(11)) + -0.5 * (Z(4) @ Z(7)) + 1.0 * (Z(8) @ Z(5)) + 1.0 * (Z(8) @ Z(6)) + 2.0 * (Z(8) @ Z(7)) + -... | 1 | 13 | 3 | {"smallest_eigenvalues": [-17.7, -17.7, -17.7, -17.7], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -17.5, "smallest_bitstrings": ["1000000001001", "1000100100001", "0001000000001", "0010000000001"], "largest_eigenvalue": 61.50000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
ry(0.6083128533175811) q[0];
h q[1];
h q[2];
h q[3];
ry(-0.5433802547305959) q[3];
cx q[2], q[3];
ry(0.5433802547305959) q[3];
cx q[2], q[3];
ry(-0.12424007866959128) q[2];
cx q[3], q[2];
ry(0.12424007866959128) q[2];
cx q[3], q[2];
ry(-0.23321258548325835) q[3... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nry(0.4397) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = mea... | [
"IIZIIIIZIIIII",
"IZZIIIIIIIIII",
"IZIIIIIZIIIII",
"IIZIIIZIIIIII",
"IIIIIIZZIIIII",
"IZIIIIZIIIIII",
"IIIIIZIZIIIII",
"IIIIIZZIIIIII",
"IIZIIIIIZIIII",
"IZIIIIIIZIIII",
"IIIIIZIIZIIII",
"IIIIZIIZIIIII",
"IIIIZIZIIIIII",
"IIIIZZIIIIIII",
"IIIIZIIIZIIII",
"IIIIIIIZIIIIZ",
"IIIIIIZIIII... | [
0.5,
2,
1,
0.5,
1,
1,
0.5,
0.5,
-0.5,
-1,
-0.5,
1,
1,
2,
-1,
-0.5,
-0.5,
-0.5,
-1,
-1,
-1,
-1,
-2,
0.8,
-0.5,
0.5,
-1,
0.5,
0.5,
0.5,
1,
-0.5,
-1,
-0.5,
-1,
0.5,
0.5,
-0.5,
-1,
0.5,
0.5,
0.4,
0.5,
1,
-0.5,
-0.5,
-0.5,
-0.5... | 0.970096 | [
0.7477673644688541,
0.9613846404015145,
0.02252293532538234,
1.5616557246565106,
0.9542620641413359,
1.6119115251631717,
1.8023138374237322,
0.001050069666346673,
1.4367050094327156,
1.3726695543954694,
0.5003227925975694,
-1.5038302062652915,
1.666993785983208,
1.3206167549388435,
0.401... | {
"n_parameters": 67,
"n_qubits": 13,
"optimal_eigenvalue": -17.7,
"target_ratio": 0.97,
"target_value": -17.169
} | 5 |
756d3d75bc595261d2d71e6ce1da2290 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, {"source": 4, "target": 6}, ... | {"states": [60, 108], "expectation_value": -0.1366574198824756, "params": [[0.0747], [-0.0649]], "bitstrings": ["1000011", "0010011"], "total_optimization_steps": 10, "probabilities": [0.008669604978999658, 0.00866960497899966], "optimization_time": 1.2374382019042969} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -0.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(6) + -1.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["0010011", "1000011"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
rz(-pi) q[1];
ry(-3.1338857358335) q[1];
h q[2];
ry(-0.5495864328688317) q[2];
cx q[0], q[2];
ry(0.5495864328688317) q[2];
cx q[0], q[2];
ry(1.072113664172264) q[0];
ry(-0.6043302756706039) q[2];
h q[3];
ry(1.5675370816886918) q[3];
h q[4];
ry(1.5670727524580514... | 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[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[6];
rz(x0) q[6];
cx q[2], q[6]... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"ZIIIZII",
"ZIIIIIZ",
"ZZIIIII",
"IZIIIZI",
"IZIZIII",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"ZIIIIII",
"IZIIIII",
"IIIIIZI",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1.5,
-1,
0,
0,
0
] | 0.995006 | [
-1.4177423017673916,
-1.5120016892075459,
1.5670727524580514,
1.5675370816886918,
-1.0991728657376634,
0.7345278817596457,
-0.24050535976088688,
-0.33733855362944315,
0.6751715648252363,
-0.5339834440823218,
0.10410437489350649,
-0.09932875554942433,
0.021932325724995955,
0.057329098589386... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
ad2c8808e4e24f79d1ce4f9a8d64bbe1 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 1, "source": 1, ... | {"states": [127, 61], "expectation_value": -1.043435708056322, "params": [[-0.07, -0.059000000000000004, -0.0135], [0.0806, 0.07980000000000001, 0.055900000000000005]], "bitstrings": ["10000000", "11000010"], "total_optimization_steps": 10, "probabilities": [0.009754752340412697, 0.00975789904553779], "optimization_tim... | -0.5 * (Z(0) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["11000010"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-0.014854315310046964) q[0];
ry(-0.03729676010121815) q[1];
rz(-pi) q[1];
h q[2];
ry(0.8055963103906512) q[2];
h q[3];
ry(1.5413867232941334) q[3];
h q[4];
ry(0.8055963103906512) q[4];
cx q[3], q[4];
ry(-0.8055963103906512) q[4];
cx q[3], q[4];
h q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"ZIIIIIIZ",
"IIZIIIZI",
"ZIZIIIII",
"IZIIIIZI",
"IIIIIZZI",
"IIZIIZII",
"IIIIZIZI",
"ZIIIZIII",
"IIZIZIII",
"IZIIZIII",
"IIIIZZII",
"ZIIZIIII",
"IIZZIIII",
"IZIZIIII",
"IIIZIZII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"ZIIIIIII",
"IIZIIIII",
"IZIIIIII",
"IIIIIZI... | [
-0.5,
0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.75,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-1,
-0.25,
-0.25,
0.25,
-0.75,
-0.25,
1.25,
1
] | 0.998931 | [
1.5413867232941334,
1.6111926207813023,
1.5582303119186558,
1.5849264559127798,
-1.5965526985559542,
-1.4420256266999978,
-1.5801916192047236,
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-0.01192451884967978,
0.04787332815945153,
0.021804112902021354,
0.06662708175304768,
0.08666792215002461
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 1 |
57fec2aec96ea69ca0f743a52d55a27c | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [98, 100], "expectation_value": -5.778945615435067, "params": [1.8725, 0.0033, 1.8926, 0.0013000000000000002, 1.9087, -0.0036000000000000003, 0.4143, -0.0036000000000000003, -0.1704, -0.0035, 1.9080000000000001, -0.0033, 1.2409000000000001, 0.005200000000000001, -0.003, 0.0079, -1.8716000000000002, 1.2775, -... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) ... | 4 | 8 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.0, "smallest_bitstrings": ["01101110", "11010011", "10011011", "01101101"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.6960446358110397) q[0];
rz(1.5541358776646774) q[0];
rx(1.877230855818099) q[1];
rz(1.409016537880449) q[1];
rx(2.7700194632055113) q[2];
rz(1.2560694886798398) q[2];
rx(0.03587613208636588) q[3];
rz(1.2560694886798398) q[3];
rx(0.03450151188923646) q[4];
rz(1.8035... | OPENQASM 3.0;
include "stdgates.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",
"IIIZIIZI",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIIZIZI",
"IIIIZZII",
"IIIZZIII",
"IIZIZIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIZIIII",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IIIIZIII",
"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,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
-2,
-1,
-1.5,
-1.5,
-1.5
] | 0.976457 | [
1.6960446358110397,
-0.016660449130219426,
1.877230855818099,
-0.1617797889144471,
2.7700194632055113,
-0.31472683811505664,
0.035876132086365885,
0.03450151188923646,
0.2327150742168141,
3.0165220743963554,
-0.32025341393672385,
0.1797391588640357,
-0.630923224210257,
0.22808070402408967,... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 13 |
b5e7e2797d8b3a448650a56d35ed7f4a | 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": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 3, "source": 2, ... | {"states": [3, 1], "expectation_value": -12.249999933331463, "params": null, "bitstrings": ["11111100", "11111110"], "total_optimization_steps": 22, "probabilities": [8.327887109606272e-09, 0.999999991661056], "optimization_time": 21.990377187728882} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -2.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -1.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + -0.75 * Z(6) + -0.75... | 1 | 8 | 2 | {"smallest_eigenvalues": [-12.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.008805449081746186) q[0];
rz(0.008805449081746186) q[0];
rx(-0.06507551884342087) q[1];
rz(0.07837949212351895) q[1];
rx(0.11121083091104535) q[2];
rz(-0.12325739099878535) q[2];
rx(0.11121083091104535) q[3];
rz(-0.19545083417781706) q[3];
rx(0.23085209549836783) q... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IZIIIZII",
"IZIIIIIZ",
"IIIIIZZI",
"IIIZIZII",
"IZIZIIII",
"IIZIZIII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IZIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-0.5,
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-0.5,
-2.25,
-0.5,
-0.75,
-1.75,
-0.5,
-0.75,
1.75,
-0.25,
0.5,
-0.25,
0.5,
-0.75,
-0.75,
0,
-0.75,
1.5
] | 0.982302 | [
0.008805449081746186,
-0.06507551884342087,
0.07837949212351895,
0.11121083091104535,
-0.12325739099878535,
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0.23085209549836783,
0.25202255510293076,
0.018150580089486897,
0.04944532338292,
0.24812448242597843,
2.8641026750519627,
0.20462351945670706
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -12.25,
"target_ratio": 0.97,
"target_value": -11.8825
} | 10 |
5aa41fa14f6a892e69fb2ef8bf1750a6 | 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": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"sour... | {"states": [70, 102], "expectation_value": -5.16521056616809, "params": [[[0.0006000000000000001, -0.36150000000000004], [0.0036000000000000003, -0.40390000000000004], [0.7076, 0.0015], [0.6084, 0.0035], [0.4141, 0.1511], [-0.0051, 0.379], [0.6334000000000001, 0.0023], [0.7024, 0.0018000000000000002], [0.0891, 0.296500... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + -1.0 * Z(3) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["110011001", "110001101"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.08299587799620571) q[0];
rz(-0.05651153380895403) q[0];
ry(0.05761839018148064) q[1];
ry(0.18385007665567607) q[2];
ry(0.5992564578001871) q[3];
ry(0.12915165148842125) q[4];
ry(-0.1330832323628374) q[5];
ry(0.2271575876735189) q[6];
ry(0.46847757065066165) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIZIIIZ",
"IZIIIIIIZ",
"IIIIZIIZI",
"IIIIIIZZI",
"IIIZIZIII",
"IZIZIIIII",
"IIIZIIIZI",
"IIZIZIIII",
"IIZIIIIZI",
"IIZZIIIII",
"ZIIIIZIII",
"ZIIIIIIZI",
"ZIIIIIZII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IZIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIZIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-0.5,
-2,
-0.5,
-1.5,
-1,
-1
] | 0.970868 | [
-0.08299587799620571,
0.05761839018148064,
0.18385007665567607,
0.5992564578001871,
0.12915165148842125,
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0.2271575876735189,
0.46847757065066165,
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-0.11302306761790806,
-0.009922231933566079,
0.12177521852867314,
-0.1852322179062659,
-0.07764751894... | {
"n_parameters": 137,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 7 |
ad249eb291b54b77d27166680b0a8ce6 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [17, 25], "expectation_value": -3.013711394700746, "params": [[[1.1535, 0.0033], [-0.0027, 0.0041], [1.6001, 0.0013000000000000002], [1.5984, 0.0073], [0.3678, 0.0077], [0.0053, 0.0008], [1.6003, 0.0067]]], "bitstrings": ["1101110", "1100110"], "total_optimization_steps": 160, "probabilities": [0.08747837679... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ 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)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(1) + -1.0 * Z(0) + 0.0 * Z(2) + -1.0 * Z(4) + -1.0 * Z(3) + -1.5 * Z(5) + -0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1101010", "1100110", "0110110", "1001011"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.20946886265742445) q[0];
rz(-0.06362351457019821) q[0];
rx(-0.018241174950755897) q[1];
rz(0.704685202659187) q[1];
cx q[1], q[0];
rz(0.2292168962369887) q[0];
cx q[1], q[0];
rz(1.7132002221642741) q[0];
ry(1.3070610940504863) q[0];
rz(-1.6223015488018377) q[0];
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] 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... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIIZ",
"IIIZIZI",
"IIZZIII",
"IZIIIZI",
"IZZIIII",
"IZIZIII",
"ZIIIIZI",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
0,
-1,
-1,
-1.5,
-0.5
] | 0.974163 | [
0.20946886265742448,
0.16559338166679047,
-0.018241174950755897,
0.704685202659187,
0.5650277722630422,
-0.24033384943000619,
0.6276576804163854,
0.1723064691794214,
0.40103640539568186,
0.13028888005053452,
-0.09290330105860661,
0.22641693237719282,
-0.07040893050340088,
0.239283487126834... | {
"n_parameters": 133,
"n_qubits": 10,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 19 |
36ff2850f9ca4956ff6a75a44d9ad0dc | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [80, 81], "expectation_value": -4.57087889111992, "params": [0.2997, -0.062400000000000004, 0.3025, 0.0315, -0.0126, 0.16770000000000002, -0.0181, 0.1724, 0.2954, -0.057, 0.2985, 0.012, 0.0009000000000000001, 0.17980000000000002, 0.0027, 0.1811, -0.0158, -0.1369, -0.0196, -0.1386, 0.0034000000000000002, 0.15... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -0.5 * Z(6) + -1.0 * Z... | 5 | 7 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101110"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cz q[10], q[9];
rx(-0.13175179733157877) q[10];
h q[10];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz ... | 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": []} | [
"IIIIIZZ",
"IIIZIIZ",
"IZIIIZI",
"IZIIIIZ",
"IZIZIII",
"ZIIIIZI",
"IIIZZII",
"IZIIZII",
"IIZZIII",
"ZIZIIII",
"IIZIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1.5,
-0.5,
-1,
-1
] | 0.076923 | [
1.5707965843928602,
-6.250215574404665e-8,
0.4800264076414042,
0.30762598108994876,
1.570796582306965,
0.22113488257277297,
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-0.13175179733157877,
-0.580708177958514,
-0.48002629318198703,
-1.5707960986992084,
-0.843060424767... | {
"n_parameters": 28,
"n_qubits": 11,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 498 |
12ada348b9c11023d80d21b40d9fce6b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "so... | {"states": [5, 1], "expectation_value": -3.494911708856568, "params": [[[-0.0013000000000000002, 0.3808], [0.0035, 0.44470000000000004], [0.4651, -0.0051], [-0.0002, 0.3373], [0.6077, -0.0035]], [[-0.0034000000000000002, 0.34900000000000003], [0.0019, 0.46080000000000004], [0.46190000000000003, -0.0051], [0.0063, 0.462... | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.5 * Z(4) + 1.0 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["11110", "11010"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.421275234044104) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.08975213145237756) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.2466738875561171) q[3];
cx q[0], q[3];
rz(-0.7548770243522678) q[3];
rx(-1.1727560892462083) q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZIZI",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"IIZZI",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
-0.5,
-1,
-0.25,
-0.5,
1,
-1,
-0.5,
-0.25,
-0.75,
0.5,
1
] | 0.970009 | [
-0.421275234044104,
-0.08975213145237756,
-0.2466738875561171,
0.2764818189504322,
-0.754877024352268,
-0.039697426295050006,
-1.1727560892462083,
-0.6047490633200694,
-0.04582608500570343,
-0.35589128305044065,
0.4950866191469228,
-0.3850968734273578,
1.0521907678224391,
-1.08956021545216... | {
"n_parameters": 28,
"n_qubits": 5,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 132 |
928c5c04ed682e7a292bf13767c8c892 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "... | {"states": [4095, 127], "expectation_value": -27.07677348499226, "params": [[[-0.0023, 0.0032], [-0.0023, 0.0094], [0.0022, 0.0005], [-0.0023, 0.0089], [1.5928, 0.0021000000000000003], [-0.0023, 0.0019], [0.0024000000000000002, 0.0001], [-0.0024000000000000002, 0.006200000000000001], [-0.0023, 0.001], [0.0023, 0.009000... | -2.5 * (Z(0) @ Z(2)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + -2.5 * (Z(5) @ Z(7)) + -2.0 * (Z(10) @ Z(7)) + -2.0 * (Z(10) @ Z(5)) + 1.0 * (Z(11) @ Z(7)) + -... | 2 | 12 | 1 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.5, "smallest_bitstrings": ["111110000000"], "largest_eigenvalue": 38.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.023004933351335993) q[0];
rz(-0.11807831397824678) q[0];
rx(-0.023004933351335993) q[1];
rz(0.1858440387472709) q[1];
rx(-0.06931898051640424) q[2];
rz(0.05953866167781272) q[2];
rx(-0.023004933351335993) q[3];
rz(0.1522248016073159) q[3];
rx(2.4559265580127287) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIZ",
"IIIIIIIZIZII",
"IIIIIIIZIIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIIZZ",
"IIIIIIIZIIZI",
"IIIIIIIIZZII",
"IIIIIIIIZIIZ",
"IIIIIIIZZIII",
"IIIIIIIIZIZI",
"IIIIZIZIIIII",
"IZIIZIIIIIII",
"IZIIIIZIIIII",
"ZIIIZIIIIIII",
"ZIIIIIZIIIII",
"ZZIIIIIIIIII",
"IIIIZZIIIIII",
"IIIIIZZII... | [
-2.5,
-2.5,
-2.5,
-2.5,
1,
0.5,
0.5,
1,
-2.5,
0.5,
-2.5,
-2,
-2,
1,
-3,
0.5,
-3,
1,
0.5,
-3,
0.5,
0.5,
-2,
0.5,
-2,
0.5,
1.5,
-2.5,
1.5,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970571 | [
-0.023004933351335993,
-0.11807831397824678,
0.1858440387472709,
-0.06931898051640424,
0.05953866167781272,
0.1522248016073159,
2.4559265580127287,
-0.302644945902056,
0.10869840515420871,
-0.08315228342205253,
0.029911989420445845,
-0.02912390803436856,
-0.30974725440587036,
-0.1542498047... | {
"n_parameters": 19,
"n_qubits": 12,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 11 |
27e77dc99416ada4c5d281f5cb59d253 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4... | {"states": [32, 55], "expectation_value": -5.395897748204695, "params": null, "bitstrings": ["1011111", "1001000"], "total_optimization_steps": 39, "probabilities": [0.11292546284772562, 0.72450709291946], "optimization_time": 41.949270248413086} | -0.25 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(4)) + -1.0 * Z(3) + -0.... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.75, -5.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.75, "smallest_bitstrings": ["1001000", "1000000"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.001861280777779208) q[0];
ry(-0.5773662085055048) q[1];
ry(-0.10758590765451301) q[2];
ry(0.021903783796151637) q[3];
ry(-0.008785686069597308) q[4];
ry(-0.055595892079957104) q[5];
ry(2.7673418599787256) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3],... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIZIIZ",
"ZIIIIIZ",
"ZIIIIZI",
"IIIZZII",
"IIIIZZI",
"IIZZIII",
"ZIZIIII",
"IIZIIZI",
"IIZIZII",
"IZIZIII",
"IZIIIZI",
"IZIIZII",
"IZZIIII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII",
"IZIIIII"
] | [
-0.25,
0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
-1,
-0.25,
-0.5,
1.5,
-0.5,
0.5,
0.25
] | 0.977551 | [
-0.001861280777779208,
-0.5773662085055048,
-0.10758590765451301,
0.021903783796151637,
-0.008785686069597308,
-0.055595892079957104,
2.7673418599787256,
0.05934540510533431,
0.06567533265908135,
-0.0026966537146873096,
0.0024350819685033907,
-0.12588591029733984,
-0.04433102940974164,
-0.... | {
"n_parameters": 25,
"n_qubits": 7,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 21 |
46ff7ad0a3644a0760a4ec2983701c5f | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [88, 25], "expectation_value": -6.499937480679, "params": null, "bitstrings": ["0100111", "1100110"], "total_optimization_steps": 30, "probabilities": [1.635688897926214e-05, 0.9999687410137484], "optimization_time": 30.400402307510376} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(1) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["1100110"], "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(-0.037560614568719654) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.037560614568719654) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(-0.037560614568719654) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0.037560614568719... | 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",
"IIIIZIZ",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZZIIIII",
"IIIZIZI",
"IIZIIZI",
"IIZIZII",
"IZZIIII",
"ZIZIIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-1,
-2,
-1.5,
-0.5,
-2
] | 0.852579 | [
-0.037560614568719654,
-1.7300703572518277,
-0.8267466084279325,
1.287299338116249,
1.3054305317877488,
-1.390450443632452,
0.5114685174354721,
0.06965799825546191,
-1.2930465197384062,
-0.6625795363859562,
0.001253987869889919,
-0.32003986381959526
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 416 |
404057c7f12171487b8e4c0dec61ffa3 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capaci... | {"states": [32, 31], "expectation_value": -0.16448306891571998, "params": [[-0.026500000000000003, -0.061900000000000004], [0.0171, 0.0591]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.017960114564325315, 0.01826395877694525], "optimization_time": 1.9400198459625244} | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -1.25 * (Z(3) @ Z(4)) + -0.5 * Z(2) + -0.25 * Z(0) + -0.25 * Z(5) + 0.25 * Z(1) + 1.0 * Z(4) + -0.25 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(1.5811547544466071) q[0];
h q[0];
rx(1.570796540280365) q[1];
h q[1];
rx(0.8261509600795981) q[2];
h q[2];
rx(1.6265178949297225) q[3];
h q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"ZIIIIZ",
"IIIZZI",
"ZIIIZI",
"IZIZII",
"ZZIIII",
"IZZIII",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IZIIII",
"IIZIII"
] | [
-0.25,
0.5,
-0.5,
-0.25,
-0.75,
-0.5,
-1.25,
-0.5,
-0.25,
-0.25,
0.25,
1,
-0.25
] | 0.4375 | [
1.5811547544466071,
1.570796540280365,
0.8261509600795981,
1.6265178949297225,
1.5707964599706954,
-0.8173580564858312,
-0.6918847223325216,
1.570796435113792,
-4.734253203222546e-9,
-1.5027359744877397e-8,
1.570796448929092,
2.485463203679337
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 265 |
d56985f232688510835b204f6df74ea2 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [3, 15], "expectation_value": -2.995619590624952, "params": null, "bitstrings": ["1100", "0000"], "total_optimization_steps": 22, "probabilities": [0.19633924238233472, 0.5933712050462824], "optimization_time": 6.137204170227051} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.0 * Z(3) + 1.0 * Z(2) | 5 | 4 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["0011", "0000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rx(-0.3496888126830203) q[0];
rz(2.484506498622846) q[0];
rx(-0.3606515987656041) q[1];
rz(2.695813082918283) q[1];
rx(-0.7154262833367034) q[2];
rz(1.8175501947592743) q[2];
rx(-0.19870768265287853) q[3];
rz(1.1347460276828725) q[3];
cx q[3], q[2];
ry(-0.16829304157100... | null | {"node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncry(1.5706) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh ... | [
"IIZZ",
"ZZII",
"IIZI",
"IIIZ",
"ZIII",
"IZII"
] | [
-1,
-1.5,
0.5,
0.5,
-1,
1
] | 0.971412 | [
-0.3496888126830203,
0.9137101718279496,
-0.36065159876560415,
1.125016756123386,
-0.7154262833367034,
0.24675386796437643,
-0.19870768265287853,
1.1347460276828725,
0.3365860831420172,
0.2330728285343483,
0.02036217997528407,
0.2540546231098219,
-0.1563285096769219,
0.6029637664150831,
... | {
"n_parameters": 59,
"n_qubits": 4,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 70 |
410de29119bf216687baf857e8050953 | 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}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"sour... | {"states": [7, 255], "expectation_value": -12.778829306594313, "params": null, "bitstrings": ["11111000", "00000000"], "total_optimization_steps": 100, "probabilities": [0.09205411911242456, 0.3567729909660449], "optimization_time": 155.94393801689148} | -2.5 * (Z(0) @ Z(3)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(0)) + -2.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + -2.5 * (Z(2) @ Z(3)) + 1.0 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * Z(3) + 0.5 * Z(0) + ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["00000000"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.19388769888167237) q[0];
ry(-0.4230419458671142) q[1];
ry(0.0756154407818312) q[2];
ry(0.05699600142000835) q[3];
ry(0.10984543985818487) q[4];
ry(-0.10572223855674798) q[5];
ry(-0.10572223855674798) q[6];
ry(0.019566654774823784) q[7];
cx q[7], q[0];
cx q[6], q[7... | null | {"node": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5708) q[4], 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] = mea... | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"IIIIZIZI",
"IIIIIIZZ",
"IIIZIIZI",
"IIIIZZII",
"IIIIIZIZ",
"IIIZIZII",
"IIIIIZZI",
"IZZIIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-2.5,
-2.5,
-2,
-2.5,
0.5,
0.5,
-2.5,
1,
-2,
0.5,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
1,
1
] | 0.970652 | [
-0.19388769888167237,
-0.4230419458671142,
0.0756154407818312,
0.05699600142000835,
0.10984543985818487,
-0.10572223855674798,
0.019566654774823784,
3.066609512836401,
-0.07014495019136391,
-0.027992267768767242,
0.33758348132587485,
-0.13442585551080277
] | {
"n_parameters": 12,
"n_qubits": 8,
"optimal_eigenvalue": -18,
"target_ratio": 0.97,
"target_value": -17.46
} | 12 |
dc7c56053090d6c4ddaad32b137666dc | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.017712044312498565, "params": [[-0.0694], [0.0646]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 10, "probabilities": [1.638635675595264e-05, 1.638635675595264e-05], "optimization_time": 14.10508131980896} | 0.25 * (Z(0) @ Z(1)) + -0.0009259259259259261 * (Z(2) @ Z(0)) + -0.0009259259259259261 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006944444444444445 * (Z(4) @ Z(0)) + 0.000462962962962963 * (Z(4) @ Z(2)) + -0.0006944444444444445 * (Z(5) @ Z(1)) + 0.000462962962962963 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.000694... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0217592592592184], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.021759259259203, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.016512345679009} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
ry(-0.2952309551127634) q[0];
h q[1];
cx q[1], q[0];
ry(0.2952309551127634) q[0];
cx q[1], q[0];
ry(-0.12995335875947003) q[1];
cx q[0], q[1];
ry(0.12995335875947003) q[1];
cx q[0], q[1];
ry(0.8132259070063251) q[1];
ry(-0.24855653362450403) q[0];
h q[2];
ry(-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[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0009259259259259261,
-0.0009259259259259261,
0.25,
-0.0006944444444444445,
0.000462962962962963,
-0.0006944444444444445,
0.000462962962962963,
0.25,
-0.0006944444444444445,
-0.0009259259259259261,
-0.0006944444444444445,
-0.0006944444444444445,
-0.0009259259259259261,
-0.0006944... | 0.970424 | [
-1.200406988408786,
-0.48459956803620413,
-0.5904619102255269,
-1.3302496732744287,
-0.6793084237634487,
-0.4883864790689744,
-1.231552630074303,
1.1340301496213105,
-0.5999915382601475,
0.7840806308617031,
-0.3502270439963315,
1.0351544798693124,
0.7452188135340346,
-0.14042586002022842,
... | {
"n_parameters": 93,
"n_qubits": 16,
"optimal_eigenvalue": -2.0217592592592157,
"target_ratio": 0.97,
"target_value": -1.9611064814814392
} | 70 |
5276f366da47fa179cbc714c41077578 | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [38, 7], "expectation_value": -4.489065713757171, "params": null, "bitstrings": ["1011001", "1111000"], "total_optimization_steps": 29, "probabilities": [0.060236516311253784, 0.8645372849364423], "optimization_time": 24.68325424194336} | 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(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -2.0 * Z(3) + -0.5 * Z(4) + -0.5 * Z(6) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["1001011", "1101010", "1011001", "1111000", "0111100"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.07680546575059055) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.547884664542458) q[1];
h q[2];
ry(-0.547884664542458) q[2];
h q[3];
ry(-1.5814359073933508) q[3];
h q[4];
ry(1.512824638564917) q[4];
h q[5];
cx q[5], q[2];
ry(0.547884664542458) q[2];
cx q[5], q[2];
ry(-0.60592... | 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",
"IIZIIIZ",
"IIZZIII",
"ZIIIIZI",
"ZIIZIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-1,
-2,
-0.5,
-0.5,
0
] | 0.996461 | [
-1.5814359073933508,
-1.464821783002619,
1.512824638564917,
-1.095769329084916,
0.7889556482109144,
-0.34356695936773096,
0.5520630957297448,
-0.5247116167273478,
0.2440466474671702,
0.41452824613976935,
-0.11648176314298858,
-0.12910158703675095,
0.05028128411193184,
-0.022986082157927655... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
-7333735790520678795 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[2, 3, 4], [0, 1, 2, 4], [0, 1, 3]]} | {"states": [30, 14], "expectation_value": -0.7876650088378414, "params": null, "bitstrings": ["00001", "10001"], "total_optimization_steps": 22, "probabilities": [0.02469006670555664, 0.8989843833441966], "optimization_time": 15.447991371154785} | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z... | 1 | 5 | 1 | {"smallest_eigenvalues": [-0.8333333333333334, -0.8333333333333334, -0.8333333333333334], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.8333333333333333, "smallest_bitstrings": ["10001", "01100", "01001"], "largest_eigenvalue": 2.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(0.5571606446701035) q[0];
rz(0.913469341156564) q[0];
rx(3.150365670815195) q[1];
rz(-1.0973025329326103) q[1];
rx(3.185614512471872) q[2];
rz(0.7418489491607383) q[2];
rx(3.135138385360903) q[3];
rz(0.3190742028707837) q[3];
rx(-0.24754132733389023) q[4];
rz(-0.1113... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.2292) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... | [
"IZZII",
"ZZIII",
"ZIZII",
"IZIIZ",
"IIZIZ",
"ZIIIZ",
"IZIZI",
"IIZZI",
"ZIIZI",
"IIIZZ",
"IZIII",
"IIZII",
"ZIIII",
"IIIIZ",
"IIIZI"
] | [
0.16666666666666666,
0.16666666666666666,
0.25,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.25,
0.3333333333333333,
0.29166666666666663,
0.29166666666666663,
0.29166666666666663,
0.29166666666666663
] | 0.971845 | [
0.5571606446701035,
0.913469341156564,
3.150365670815195,
-1.0973025329326103,
3.185614512471872,
0.7418489491607383,
3.135138385360903,
0.3190742028707837,
-0.24754132733389023,
-0.11136453892163678
] | {
"n_parameters": 10,
"n_qubits": 5,
"optimal_eigenvalue": -0.8333333333333334,
"target_ratio": 0.97,
"target_value": -0.8083333333333333
} | 17 |
31a11ae818df971c53c10fb4beb29051 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6},... | {"states": [1799, 1823], "expectation_value": -12.478292032058611, "params": null, "bitstrings": ["00011111000", "00011100000"], "total_optimization_steps": 100, "probabilities": [0.1399282586625039, 0.46230105371837016], "optimization_time": 219.6938018798828} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(3) @ Z(5)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + -1.5 * Z(5) + -1.0 * Z(3) + 1.0 * Z(4) + 0.5 * Z(7) ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["00011100000"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(0.015679814488940208) q[0];
h q[1];
h q[2];
ry(0.02560247093007024) q[2];
cx q[1], q[2];
ry(-0.02560247093007024) q[2];
cx q[1], q[2];
cx q[2], q[0];
ry(-0.015679814488940208) q[0];
cx q[2], q[0];
ry(0.6491338119100465) q[0];
ry(1.4794811008456128) q[1];
ry(... | null | {"node": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[5], 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[... | [
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIIZZ",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIIIZZIII",
"IIIZZIIIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIZIIIII",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIZIIIIIII",
"IIIIZIIIIII",
"IZIIIIIII... | [
-1.5,
-1.5,
0.5,
-2,
-2,
0.5,
-1,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.97032 | [
1.450578598630869,
-1.434617905723163,
-1.7634627382878927,
0.05120494186014048,
1.4391852688384448,
0.031359628977880416,
0.07026163281343836,
1.499857093771969,
0.9985297940755106,
0.9052129018963545,
-1.5280289695858826,
1.1215118243950295,
0.08059166401433598,
0.706982474226035,
1.29... | {
"n_parameters": 50,
"n_qubits": 11,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 215 |
6be29fcf64186db29d8d06f08ec325c6 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [81, 89], "expectation_value": -2.805767222347322, "params": [[-0.0038, 1.056, -0.0029000000000000002, 1.2825, 0.662, -0.11460000000000001, 0.057800000000000004, 1.2753], [-0.016, 1.0496, -0.003, 0.5544, 0.077, 0.026000000000000002, 0.316, 1.2754], [0.0567, 1.0307, -0.0028, 1.2950000000000002, 1.258600000000... | 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(3)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1) @ Z(6)) ... | 10 | 8 | 2 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.25, "smallest_bitstrings": ["10101001", "10100110", "00110011", "00110110", "01110001", "00111001"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-2.9437113529898604) q[0];
rz(0.0016260709049866762) q[0];
rx(3.4296792862449417) q[1];
rz(1.1913011004301606) q[1];
cx q[1], q[0];
rz(0.015086233168601998) q[0];
cx q[1], q[0];
rz(0.32191463907376133) q[1];
rx(0.03189089480925868) q[2];
rz(-0.5027947031620799) q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIIZIIZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIZZZIII",
"IIIZIIZI",
"IZIIIIZI",
"IZIZIIII",
"IZIZIIZI",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
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,
0.5,
0.5,
-0.25,
0,
-0.75,
-0.25,
0,
-0.25,
-0.25,
-0.5
] | 0.982417 | [
3.3394739541897263,
0.016712304073588924,
3.4296792862449417,
1.1913011004301606,
0.03189089480925867,
-0.23698160238807575,
-0.18382111424629338,
0.4138953982696465,
-0.19167456282803633,
-0.2771815042292091,
3.0282028227869757,
-0.1250923824193959,
3.2096010362394285,
-0.4837302848461374... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 20 |
b6d439c96c0f87fc03a4b5b2f2bf1805 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [159, 157], "expectation_value": -2.261042179672712, "params": [0.26080000000000003, 0.2609, 1.0982, 1.1017000000000001, -0.0026000000000000003, -0.0025, 0.1932, 0.1841, 1.1034000000000002, 1.1036000000000001, 1.0939, 1.0966, 1.1002, 1.1031, 1.1057000000000001, 1.1014000000000002, 1.0942, 1.0983, 0.444300000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(3) @ Z(5) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(7) @ Z(4)) + 0.125 * (Z(4) @ Z(8)) + 0.125 * (Z(7) @ Z(5)) + 0.125 * (Z(8) @ Z(5)) + 0.125 * (Z(7) @ Z(8)) + -0.125 * (Z(7) @ Z(4) @ Z(5)) + ... | 14 | 9 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.375, "smallest_bitstrings": ["101100010", "101011000", "101100001", "101101000", "101110000", "011100010", "101010100", "011010100"], "largest_eigenvalue": 6.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.5191980308047215) q[0];
h q[1];
ry(1.5405695011376466) q[1];
h q[2];
h q[3];
ry(-0.5866982180362897) q[3];
cx q[2], q[3];
ry(0.5866982180362897) q[3];
cx q[2], q[3];
ry(0.9597495752945346) q[2];
ry(-0.5579615667866465) q[3];
h q[4];
ry(-1.6415637574708137) ... | OPENQASM 3.0;
include "stdgates.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",
"IIIIZZIII",
"IIIZIZIII",
"IIZIIZIII",
"IIZZIIIII",
"IIZZIZIII",
"IIIZZIIII",
"IZIIZIIII",
"ZIIIZIIII",
"IZIZIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IZIZZIIII",
"ZIIZZIIII",
"ZZIIZIIII",
"ZZIZIIIII",
"ZZIZZIIII",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IZZIIIIII",
"IZZIIIIIZ",
"... | [
0.5,
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,
0.25,
0.25,
0.25,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.125,
0.125,
0,
0.125,
0.125
] | 0.995551 | [
-1.6415637574708137,
-1.5174011236909681,
1.5405695011376466,
1.5191980308047215,
-1.1733964360725795,
0.6926129454350894,
-0.15953231009867133,
-0.3691247614136871,
0.5342732597188904,
-0.37767361074591893,
0.35119070739281916,
-0.03222369551844963,
-0.12500416830118127,
0.067816064562840... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
bb51b85a8f0cca1e878093cb2d4e9f25 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [18, 3], "expectation_value": -14.842345072431947, "params": null, "bitstrings": ["101101", "111100"], "total_optimization_steps": 51, "probabilities": [0.10238766939330543, 0.5694301130604257], "optimization_time": 55.84222650527954} | 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)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.25 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 ... | 18 | 6 | 2 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0578548521713938) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0578548521713938) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0578548521713938) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0578548521713938) q[3];
cx q[1], q[3];
cx... | null | {"k": 4} | {"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(-0.069) 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 \"stdgat... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
-6,
-5.75,
-6,
-5.75,
-5.25,
-5.25
] | 0.970515 | [
0.0578548521713938,
-0.5965324608541779,
0.14798932566828993,
0.42484350980591923,
-0.9272829572068437,
-0.04010345398285296,
-1.1578923267991272,
-0.46130283317179,
-1.0852932021567716,
0.9461273837682691,
-0.03445215865394413,
-1.0967217839356491,
-0.4607238774334183,
0.35636944727550446... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 112 |
-6754211924135571060 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 3, 4, 6, 7, 8, 10, 11], [3, 5, 8, 10, 11], [0, 1, 5, 6, 7, 9], [1, 2, 3, 10, 11], [1, 2, 5, 6, 8], [0, 2, 4, 6, 7, 8, 9, 11], [2, 3, 6, 7, 11], [0, 1, 2, 3, 4, 5, 7, 8, 9, 10], [2, 3, 6, 8, 9, 10], [2, 3, 4, 10, 11], [1, 11, 7], [0, 2, 4, 5, 6, 7, 9],... | {"states": [1534, 2014], "expectation_value": -2.4194030894896934, "params": [[0.3774], [-0.3733]], "bitstrings": ["101000000001", "100000100001"], "total_optimization_steps": 40, "probabilities": [0.0015541289243829139, 0.0015578271571998902], "optimization_time": 38.446412324905396} | 0.02896825396825397 * (Z(0) @ Z(3)) + 0.07896825396825397 * (Z(4) @ Z(3)) + 0.10396825396825396 * (Z(4) @ Z(0)) + 0.10119047619047619 * (Z(6) @ Z(3)) + 0.15 * (Z(6) @ Z(0)) + 0.14285714285714285 * (Z(6) @ Z(4)) + 0.07896825396825398 * (Z(7) @ Z(3)) + 0.12777777777777777 * (Z(7) @ Z(0)) + 0.07063492063492063 * (Z(7) @ Z... | 1 | 12 | 1 | {"smallest_eigenvalues": [-3.435714285714286], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.4130952380952384, "smallest_bitstrings": ["100000100001"], "largest_eigenvalue": 17.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.0009309872410651223) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(-0.00018866233035664344) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.0005735988043764707) q[4];
cx q[0], q[4];
h q[5];
h q[6];
cx q[3], q[6];
rz(-0.0001... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIIZ",
"IIIIIIIZZIII",
"IIIIIIIZIIIZ",
"IIIIIZIIZIII",
"IIIIIZIIIIIZ",
"IIIIIZIZIIII",
"IIIIZIIIZIII",
"IIIIZIIIIIIZ",
"IIIIZIIZIIII",
"IIIIZZIIIIII",
"IIIZIIIIZIII",
"IIIZIIIIIIIZ",
"IIIZIIIZIIII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IZIIIIIIZIII",
"IZIIIIIIIIIZ",
"IZIIIIIZI... | [
0.02896825396825397,
0.07896825396825397,
0.10396825396825396,
0.10119047619047619,
0.15,
0.14285714285714285,
0.07896825396825398,
0.12777777777777777,
0.07063492063492063,
0.19999999999999998,
0.11230158730158732,
0.08015873015873015,
0.13015873015873014,
0.2357142857142857,
0.08015873... | 0.955633 | [
0.0009309872410651223,
-0.00018866233035664344,
0.0005735988043764707,
-0.00017300450321299692,
-0.0012605530799016126,
-0.0010730504888986075,
1.5700452480101743,
-0.0005048295053771546,
0.0024478485514457353,
0.0015242349216412774,
0.00014647608828725501,
-0.0018424863069574434,
-0.0025941... | {
"n_parameters": 64,
"n_qubits": 12,
"optimal_eigenvalue": -3.435714285714286,
"target_ratio": 0.97,
"target_value": -3.3326428571428575
} | 500 |
fbeca3287c88ac656e8f44e35837a20d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 3, "source": 0, "t... | {"states": [110, 109], "expectation_value": -9.19915446161678, "params": [[-0.039400000000000004], [0.07930000000000001]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.0074410682645460035, 0.007715060039204437], "optimization_time": 1.6086642742156982} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(2) @ Z(5)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(6) @ Z(7)) + 5.5 * Z(1) + 1.5 * Z(0) + 19.0 * Z(4) + 14.5 * Z(5) + 14.5 * Z(2) + 6.0 * Z(3)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-59.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -51.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 117.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.4621200799157078) q[0];
rz(2.5310802994442465) q[0];
rx(1.0371216398864838) q[1];
rz(1.2936490653800785) q[1];
rx(1.5502854236584591) q[2];
rz(1.6255839899431388) q[2];
rx(2.0270665855362484) q[3];
rz(2.37946354203517) q[3];
rx(1.626482565654) q[4];
rz(1.4004363227... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIZI",
"IIZZIIII",
"IIIIIZIZ",
"IIIZIZII",
"IIZIIZII",
"IIIZZIII",
"IIZIZIII",
"IIIIZZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IIIIIZII",
"IIIIZIII",
"ZIIIIIII",
"IZIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
5.5,
1.5,
19,
14.5,
14.5,
6,
7.5,
-1
] | 0.977034 | [
0.4621200799157078,
0.9602839726493494,
1.0371216398864838,
-0.2771472614148176,
1.5502854236584591,
0.05478766314824232,
2.0270665855362484,
0.8086672152402733,
1.626482565654,
-0.17036000403937762,
1.5389205452174688,
0.023243864098932004,
0.6780255439029278,
-0.006324178265194772,
1.9... | {
"n_parameters": 46,
"n_qubits": 8,
"optimal_eigenvalue": -59,
"target_ratio": 0.97,
"target_value": -57.23
} | 18 |
aa017fe03799a772a3aff0770f4d70b4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 1, "source": 3, "target": 6}, {"capacity": 2, "source": 5, "target": 1}, {"capacity": 2, "source": 5, "target": 2... | {"states": [63, 9], "expectation_value": -1.2512471973078683, "params": [[0.0736, 0.07780000000000001, 0.0736], [-0.0796, -0.0844, -0.0792]], "bitstrings": ["1000000", "1110110"], "total_optimization_steps": 10, "probabilities": [0.01410534602428243, 0.015767994377176006], "optimization_time": 2.8384146690368652} | -1.0 * (Z(0) @ Z(5)) + -1.0 * (Z(6) @ Z(5)) + 1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z(5)) + 1.5 * Z(5) + -0.25 * Z(0) + 0.0 * Z(6) + 0.25 * Z(3) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000000", "1110000", "1110100", "1010100", "1100100", "1110110", "1100000", "1010000", "1000100"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.7202482055888763) q[0];
h q[1];
h q[2];
h q[3];
ry(0.6763684963105008) q[3];
h q[4];
h q[5];
ry(1.544949320168152) q[5];
h q[6];
ry(0.7842758172411688) q[6];
cx q[5], q[6];
ry(-0.7842758172411688) q[6];
cx q[5], q[6];
cx q[6], q[0];
ry(0.7202482055888763) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"ZZIIIII",
"ZIIIIIZ",
"ZIIZIII",
"IZIIIZI",
"IZIIZII",
"IZZIIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
-1,
-1,
1.25,
-0.25,
-0.5,
-0.5,
-0.5,
1.5,
-0.25,
0,
0.25,
-0.5,
-0.5,
-0.5
] | 0.997887 | [
1.544949320168152,
1.5685516344823376,
-1.4404964111777525,
1.3527369926210016,
-0.21987719305568587,
0.09712159271413541,
0.06523432631452608,
-0.047813366282852085
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
5f9b75a11ee0488aded9e68068b4bda7 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [21674, 21930], "expectation_value": -0.04267513141432018, "params": [1.4517, 0.0063, 1.697, 0.0037, 1.3828, 0.0068000000000000005, 1.7325000000000002, 0.005, 1.4389, 0.0089, 1.7103000000000002, 0.0074, 1.491, 0.002, 1.6402, 0.005200000000000001, 1.7167000000000001, 0.0002, 1.3987, 0.0013000000000000002, 1.7... | 0.25 * (Z(0) @ Z(1)) + 0.0005859375000000001 * (Z(2) @ Z(0)) + 0.0005859375000000001 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0001953125 * (Z(4) @ Z(0)) + -0.00126953125 * (Z(4) @ Z(2)) + 0.0001953125 * (Z(5) @ Z(1)) + -0.00126953125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0011718750000000002 * (Z(6) @ Z(0)) + -0... | 16 | 16 | 1 | {"smallest_eigenvalues": [-2.016406249999962], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.016406249999949, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.021874999999995} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.5324997208576805) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.02557903183250008) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.02557903183250008) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(1.5324997208576805) q[3];
cx q[2], q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
0.0005859375000000001,
0.0005859375000000001,
0.25,
0.0001953125,
-0.00126953125,
0.0001953125,
-0.00126953125,
0.25,
-0.0011718750000000002,
-0.0009765625,
0.0001953125,
-0.0011718750000000002,
-0.0009765625,
0.0001953125,
0.25,
-0.00078125,
-0.000390625,
0.000390625,
0.... | 0.977548 | [
1.5324997208576805,
0.02557903183250008,
0.03233188732103052,
0.0832662920723559,
0.01856956090956142,
-0.7321057974863426
] | {
"n_parameters": 6,
"n_qubits": 16,
"optimal_eigenvalue": -2.016406249999974,
"target_ratio": 0.97,
"target_value": -1.9559140624999747
} | 17 |
c513b3f9e92fab9360fc637fed72bb83 | 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}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target": 9}, {"capac... | {"states": [0, 1], "expectation_value": -10.249992724246543, "params": null, "bitstrings": ["1111111111", "1111111110"], "total_optimization_steps": 25, "probabilities": [1.8175014711887074e-06, 0.999998181686791], "optimization_time": 36.94463109970093} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + 1.25 * (Z(9) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(9)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-10.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.2006787591129485) q[0];
rz(1.5111373121971567) q[0];
rx(0.008533205045735058) q[1];
rz(1.7868635420623642) q[1];
rx(-0.011585748536171918) q[2];
rz(1.5898520776238634) q[2];
rx(-0.08394752394391941) q[3];
rz(1.8689766124662555) q[3];
rx(0.008533205045735057) q[4]... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.5681) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5]... | [
"IIIIIIIIZZ",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"ZIIIIIIIIZ",
"IIIIIIIZZI",
"ZIIIIIIZII",
"IIIIZIIIZI",
"IIZIZIIIII",
"IIIIZIIZII",
"IIIZIIIIZI",
"IIZZIIIIII",
"IIZIIIZIII",
"IIIIIIZZII",
"IIIIZIZIII",
"IIIZIIZIII",
"IIZIIZIIII",
"IIIIZZIIII",
"IIIZIZIIII",
"IIIIIZZIII",
"IZIIIIIZII"... | [
-0.5,
-0.5,
-0.5,
1.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
0.75,
1,
0,
-0.25,
-0.5,
-0.25,
0,
-0.25
] | 0.978625 | [
-0.20067875911294852,
-0.05965901459774062,
0.008533205045735057,
0.21606721526746786,
-0.01158574853617192,
0.019055750828967807,
-0.08394752394391941,
0.29818028567135796,
0.15390388893321932,
-0.012954804646189033,
0.37586173891171687,
-0.12008364184354088,
0.18731012752276124,
-0.13200... | {
"n_parameters": 124,
"n_qubits": 10,
"optimal_eigenvalue": -10.25,
"target_ratio": 0.97,
"target_value": -9.942499999999999
} | 8 |
3012e1b6018e3f767ff12c1a3a3c35a1 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [749, 685], "expectation_value": -0.8624918207966028, "params": [0.9918, 0.2682, 0.3738, 0.37220000000000003, 0.9959, 0.30510000000000004, 0.7675000000000001, 0.2097, 1.0028000000000001, -0.1714, 0.3558, 0.3281, 0.9996, 0.0951, 1.0057, -0.11510000000000001, 0.35350000000000004, 0.34850000000000003, 1.0034, 0... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(2) @ Z(7)) + 0.125 * (Z(3) @ Z(6)) + 0.... | 16 | 10 | 2 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 19, "first_excited_energy": -2.125, "smallest_bitstrings": ["1010010010", "0011010010", "1000011010", "0010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.017048650774160467) q[0];
rz(-pi) q[0];
h q[1];
ry(1.428101949963524) q[1];
h q[2];
ry(-0.5585956640176606) q[2];
h q[3];
ry(-1.513638845189437) q[3];
rz(-pi) q[4];
ry(-0.03029958733089709) q[4];
h q[5];
ry(1.5357352680083305) q[5];
h q[6];
cx q[6], q[2];
ry(0.558... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIIIZZIIZ",
"IIIIZIIIZI",
"IIIIIIZZII",
"IIIZIIIZII",
"IIZIIIIZII",
"IIIZIIZIII",
"IIZIIIZIII",
"IIZZIIIIII",
"IIIZIIZZII",
"IIZIIIZZII",
"IIZZIIIZII",
"IIZZIIZIII",
"IIZZIIZZII"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0,
-0.25,
0.125,
0.125,
0,
-0.25,
-0.125,
0.125,
-0... | 0.996101 | [
-1.513638845189437,
-1.5712238897082784,
-1.4295544274646308,
1.5357352680083305,
1.428101949963524,
-1.1171913280353212,
0.7490514998734579,
-0.29846349854310816,
0.45238629368725597,
-0.44128023792692567,
0.31667933370845947,
-0.25392485755588445,
-0.24838649711221067,
0.1534772811997058... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
-2321823589419833306 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 7], [8, 6], [8, 3, 5], [0, 4], [8, 2], [9, 5]]} | {"states": [306, 54], "expectation_value": -2.680802251078318, "params": null, "bitstrings": ["1011001101", "1111001001"], "total_optimization_steps": 86, "probabilities": [0.04869971852070162, 0.7194326633307399], "optimization_time": 130.0235047340393} | 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(8)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(9) @ Z(5)) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(6) + 0.16666666666666674 * Z(8) + 0.16666666666666666 * Z(3) +... | 1 | 10 | 1 | {"smallest_eigenvalues": [-2.833333333333334, -2.833333333333334, -2.833333333333334, -2.833333333333334, -2.833333333333334, -2.833333333333334, -2.833333333333334, -2.833333333333334], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.833333333333333, "smallest_bitstrings": ["0111101001", "1010011100", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.35785518547287165) q[0];
h q[1];
ry(-0.35785518547287165) q[1];
h q[2];
ry(-0.797199815963906) q[2];
h q[3];
ry(-0.2737123149632413) q[3];
h q[4];
cx q[4], q[0];
ry(0.35785518547287165) q[0];
cx q[4], q[0];
ry(-1.151639197572365) q[0];
ry(1.16178810579405... | null | null | {"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(-1.0342) q[8], 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] = meas... | [
"IIZIIIIIZI",
"IZIZIIIIII",
"IZIIIIZIII",
"IZIIZIIIII",
"IIIIZIZIII",
"IIIIIZIIIZ",
"IZIIIIIZII",
"ZIIIZIIIII",
"IIZIIIIIII",
"IIIIIIIIZI",
"IIIZIIIIII",
"IZIIIIIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIIIIIIIZ",
"IIIIIIIZII",
"ZIIIIIIIII"
] | [
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0,
0,
0,
0.16666666666666674,
0.16666666666666666,
0.16666666666666663,
0,
0,
0,
0
] | 0.972633 | [
-0.7157103709457433,
1.4378159059053737,
-1.594399631927812,
-0.8421196049984562,
1.1151400727788667,
0.810628185031046,
0.11240389211751034,
-0.6573434318339626,
0.3768925347360963,
-0.821238147330297,
0.7023198415260214,
0.5394673385123749,
-0.6608021004841358,
-0.4242781481587743,
-0.... | {
"n_parameters": 73,
"n_qubits": 10,
"optimal_eigenvalue": -2.833333333333334,
"target_ratio": 0.97,
"target_value": -2.748333333333334
} | 18 |
24e9c86cfdb3e8240ca21f54feb2ae3f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 0, "target": 2}, {"source": 1, "target": 6}, {"source": 3, "target": 7}, {"source": 4, "ta... | {"states": [0, 120], "expectation_value": -2.51121694684114, "params": [0.3896, -0.5776, 1.206, -0.0019, 1.2108, -0.0033, 1.2041, 0.0038, 1.2137, -0.004, 1.2062000000000002, 0.003, 0.5800000000000001, -0.19060000000000002, 0.5704, 0.008700000000000001, 0.0182, 1.1904000000000001, 1.196, 1.1933, -1.1834, -1.1865, 0.7624... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(6)) + -1.0 * Z(4) + -1.0 * Z(0) + -1.0 * Z(7) + 0.0 * Z(2) + -1.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(3) + -1.0 * Z(5) | 4 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["10000111", "10001011", "10010110", "00101011"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.1178989666848208) q[0];
rz(-1.3114878748394567) q[0];
rx(3.429660772059215) q[1];
rz(1.9519683519629236) q[1];
rx(3.2428870245089425) q[2];
rz(0.30989050063345075) q[2];
rx(0.07615240872314868) q[3];
rz(-1.4919322889468147) q[3];
rx(-0.2292526277419854) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"ZIIIIIIZ",
"IIIIIZIZ",
"IZIZIIII",
"IZIIIIZI",
"ZIIIZIII",
"IIZZIIII",
"ZIZIIIII",
"IZZIIIII",
"IIIZIIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIZII",
"IZIIIIII",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
0,
-1,
0,
0,
-1
] | 0.981831 | [
0.1178989666848208,
-1.3114878748394567,
3.429660772059215,
1.9519683519629236,
3.2428870245089425,
0.30989050063345075,
0.07615240872314868,
-1.4919322889468147,
-0.2292526277419854,
0.323037351350365,
0.025479403557775504,
0.6535127034426061,
3.2061650365182963,
1.4357872245650392,
3.3... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 27 |
-1918728557046605604 | hypermaxcut | adaptive_vqe | {"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": [108, 77], "expectation_value": -2.8221093468218927, "params": null, "bitstrings": ["0010011", "0110010"], "total_optimization_steps": 47, "probabilities": [0.08584264158814162, 0.7340589917955527], "optimization_time": 55.12669324874878} | 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... | 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(1.4449) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIZIIZ",
"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 |
1049cfa8639925904f7116bd26d3940f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [192, 198], "expectation_value": -5.034480425326173, "params": [[[0.26830000000000004, -0.46730000000000005, 0.0039000000000000003, 0.0079], [0.21580000000000002, 0.6277, 0.8001, 0.0848], [0.07440000000000001, -0.2587, 0.033, -0.19990000000000002], [0.0268, -0.31870000000000004, -0.034, -0.2798], [-0.0732, 0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + -1.0 * Z(2) + -1.5 * Z(0) + -1.0 * Z(3) + -1.5 * Z(4) + ... | 11 | 8 | 4 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["00111001", "10001101"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.5756534973615407) q[0];
rz(-0.15371347256148793) q[0];
ry(0.26835312546586626) q[1];
rz(0.31914898657621565) q[1];
cx q[1], q[0];
ry(0.03370171379884561) q[0];
rz(0.7842212333422779) q[0];
ry(1.3341177824609642) q[1];
rz(0.13899287574471614) q[1];
ry(-0.13859904386... | 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": []} | [
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIZII",
"IIIZIIIZ",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIZIIII",
"ZIIIIIZI",
"IIZIIZII",
"IIZIZIII",
"IZIZIIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIZIIIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-1,
-1.5,
-2,
0,
-0.5,
-0.5
] | 0.970221 | [
0.5756534973615407,
-0.15371347256148793,
0.26835312546586626,
0.31914898657621565,
-0.1385990438627514,
-0.040651341506749476,
0.029794226766274447,
-0.32528664721157513,
0.10308631829215466,
0.3379278676145323,
-0.020630008958594084,
0.19219661551354497,
0.15705774447498377,
-0.239938227... | {
"n_parameters": 110,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 63 |
cde6b48ed870286595c1455af7aff8bd | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [2, 0], "expectation_value": -0.049087167969764575, "params": [[0.0761], [-0.0733]], "bitstrings": ["101", "111"], "total_optimization_steps": 10, "probabilities": [0.12646017732514458, 0.12919535233902177], "optimization_time": 0.8221752643585205} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0) @ Z(1)) + -0.75 * Z(0) + -0.75 * Z(1) + -0.75 * Z(2) | 1 | 3 | 1 | {"smallest_eigenvalues": [-1.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.75, "smallest_bitstrings": ["111"], "largest_eigenvalue": 3.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[1], q[0];
cx q[0], q[2... | null | {"circuits": [], "gradients": []} | [
"IZZ",
"ZIZ",
"ZZI",
"ZZZ",
"IIZ",
"IZI",
"ZII"
] | [
0.25,
0.25,
0.25,
-0.25,
-0.75,
-0.75,
-0.75
] | 0.989 | [
1.5946656311860272,
1.4546236341953724,
-1.3915392123108226,
-1.043543998175015,
-0.7696115407594695,
0.5858465026550362,
0.5980335866172003,
-0.5311148471859957,
0.6361651825545125,
-0.4145474599646862,
-0.39359418429255133,
-0.3850745616697103,
-0.5256664875247946,
-0.3291045904565906,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 1 |
1e9e9fd16803043bf14602f8d69de988 | 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": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 9}, {"capacity": 3, "source": 1, "target": 7}, {"capac... | {"states": [1022, 511], "expectation_value": -9.992125713485605, "params": [[[0.0279, 1.2368000000000001], [-0.0026000000000000003, -0.0505], [-0.006200000000000001, -0.0027], [-0.0037, -0.0026000000000000003], [-0.0009000000000000001, -0.0029000000000000002], [-0.0034000000000000002, -0.0027], [-0.0035, 0.003100000000... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(0)) + -0.25 * (Z(7) @ Z(3)) + -0.75 * (Z(1) @ Z(7)) + -0.5 * (Z(2) @ Z(3)) + -0.25 * (Z(6) @ Z(7)) + -1.75 * (Z(6) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(7)) + -1.75 * (Z(8) @ Z(3)) + -1.0 * (Z(8) @ Z(9)) + -0.25 * (Z(8) @ Z(7)) + -0.5 * (Z(8) @... | 15 | 10 | 4 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.05414323265973762) q[0];
ry(0.25658045924543904) q[1];
ry(0.0007728287389536497) q[2];
ry(0.03247258538536701) q[3];
ry(0.10848243096668193) q[4];
ry(-0.00999716756016167) q[5];
ry(-0.043378559085624116) q[6];
ry(-0.02101291722104164) q[7];
ry(0.45229664669245556... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"ZIIIIIZIII",
"ZIIIIIIIIZ",
"IIZIIIZIII",
"IIZIIIIIZI",
"IIIIIIZZII",
"IIZZIIIIII",
"IIIZIIIZII",
"IIIIZIZIII",
"IIZIZIIIII",
"IZIIIIZIII",
"ZZIIIIIIII",
"IZZIIIIIII",
"IZIIIIIIZI",
"IIIIIZIZII",
"IIIZIZIIII",
"IIIIIIZIII",
"IIIIIIIIIZ",
"ZIIIIIIIII",
"IIZIIIIIII"... | [
-0.25,
-0.5,
0.5,
-0.25,
-0.75,
-0.5,
-0.25,
-1.75,
-0.75,
-1,
-1.75,
-1,
-0.25,
-0.5,
-0.25,
-0.25,
0,
-0.25,
-1,
0,
0.25,
0,
0.75,
-1.25,
1.5,
0
] | 0.970773 | [
-0.05414323265973762,
0.25658045924543904,
0.0007728287389536497,
0.03247258538536701,
0.10848243096668193,
-0.00999716756016167,
-0.043378559085624116,
-0.02101291722104164,
0.45229664669245556,
1.4756379213269892,
-0.043360514603535065,
2.0969151038607796,
-0.029803475753634016,
-0.04541... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 59 |
-6018359974562224371 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3, 5, 7], [1, 3], [2, 4], [1, 5], [0, 4, 7], [4, 6, 7], [0, 3, 6]]} | {"states": [29, 227], "expectation_value": -0.049191358588139174, "params": [[0.0661], [-0.06470000000000001]], "bitstrings": ["11100010", "00011100"], "total_optimization_steps": 10, "probabilities": [0.004208032929086452, 0.004232223766390954], "optimization_time": 1.2064604759216309} | 0.05 * (Z(0) @ Z(2)) + 0.05 * (Z(3) @ Z(2)) + 0.21666666666666667 * (Z(3) @ Z(0)) + 0.05 * (Z(5) @ Z(2)) + 0.05 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(7) @ Z(2)) + 0.21666666666666667 * (Z(7) @ Z(0)) + 0.05 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.6999999999999993], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.366666666666667, "smallest_bitstrings": ["00011100"], "largest_eigenvalue": 5.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.1632161321445561) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-0.1632161321445561) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.09918094822206501) q[3];
cx q[0], q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-0.1632161321445561) q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IIZIIZII",
"IIZIIIIZ",
"IIZIZIII",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIZIIIII",
"IIIIZIZI",
"IIZIIIZI",
"IIIZIZII",
"IIIZIIIZ",
"ZIIZIIII",
"IZIIIIIZ",
"IZIIZIII",
"ZZIIIIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIII... | [
0.05,
0.05,
0.21666666666666667,
0.05,
0.05,
0.05,
0.05,
0.21666666666666667,
0.05,
0.05,
0.5,
0.5,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.09999999999999998,
0.43333333333333324,
0.... | 0.633598 | [
-0.1632161321445561,
0.09918094822206501,
1.1750863807453285,
0.2426679991662806,
0.24006770508008327,
-0.09887716848602315,
1.3015440256525257,
0.0620547303568052,
0.015829213772393564,
-0.8757476237373175
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -2.6999999999999993,
"target_ratio": 0.97,
"target_value": -2.6189999999999993
} | 216 |
cf866b0685f0f2b92fc41e952765f334 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 3... | {"states": [23, 31], "expectation_value": -2.0075021847487347, "params": [[-0.0666, -0.069, -0.047400000000000005, -0.0721], [0.07490000000000001, 0.0787, 0.062400000000000004, 0.067]], "bitstrings": ["1101000", "1100000"], "total_optimization_steps": 10, "probabilities": [0.023593018290427627, 0.025629973888601967], "... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(4)) + -1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 1.5 * Z(2) + 0.25... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["1100000", "1101000"], "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(0.4389876603721047) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.3936411233317491) q[3];
cx q[1], q[3];
cx q[1], q[2];
rz(0.4389876603721047) q[2];
cx q[1], q[2];
cx q[3], q[2];
rz(0.4389876603721047) q[2];
cx q[3], q[2];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIIZZI",
"IIIZZII",
"ZIIIIIZ",
"ZIIIZII",
"IIZZIII",
"IIZIZII",
"ZIZIIII",
"IZIIIZI",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIIIZII",
"ZIIIIII",
"IIZIIII",
"IZIIIII"
] | [
-0.75,
-0.5,
-0.75,
-0.75,
1,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.75,
-1.25,
-0.25,
-0.75,
1.5,
0.25,
-0.5,
1
] | 0.619308 | [
0.4389876603721047,
0.3936411233317491,
-0.9640592261572137,
0.3473169744588019,
0.9763395609882711,
-0.671208939863871,
-0.6920954321912673,
0.9887089718505631
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 188 |
239e0c960fc9df6885bc085f6bdae7ed | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 9}, {"capacity": 1, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -19.54315901882519, "params": [0.003, -0.542, 0.0029000000000000002, 0.0021000000000000003, 0.0027, -0.5874, 0.0027, 0.0029000000000000002, 0.7993, 0.109, 0.8008000000000001, 0.0088, 0.0029000000000000002, -0.526, 0.003, 0.0012000000000000001, 0.0026000000000000003, -0.5889, 0.... | -1.0 * (Z(0) @ Z(3)) + -1.0 * (Z(10) @ Z(3)) + -0.5 * (Z(10) @ Z(0)) + -0.5 * (Z(2) @ Z(3)) + 1.75 * (Z(2) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(10)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + -1.0 * (Z(9) @ Z(3)) + -0.25 * (Z(9) @ Z(10)) + -1.5 * (Z(9) @ Z(1)) + -0.75 * (Z(9) @ ... | 5 | 11 | 1 | {"smallest_eigenvalues": [-21.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["11011111111"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.04211203373852983) q[0];
rz(1.770528595802734) q[0];
rx(-0.25061984073388016) q[1];
rz(1.652728689894154) q[1];
rx(0.42290999182305544) q[2];
rz(1.2565381974990313) q[2];
rx(-0.024312058481099755) q[3];
rz(2.0976232976415705) q[3];
rx(-0.2692091286287681) 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": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"ZIIIIIIZIII",
"ZIIIIIIIIIZ",
"IIIIIIIZZII",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IIIZIIIZIII",
"ZIIZIIIIIII",
"IIIZIIIIZII",
"IIIZIIIIIZI",
"IZIIIIIZIII",
"ZZIIIIIIIII",
"IZIIIIIIIZI",
"IZIZIIIIIII",
"IIIIIZIZIII",
"ZIIIIZIIIII",
"IIIIIZIIIZI",
"IIIZIZIIIII",
"IZIIIZIII... | [
-1,
-1,
-0.5,
-0.5,
1.75,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-1,
-0.25,
-1.5,
-0.75,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-1,
-0.75,
-0.75,
-1.25,
-0.75,
-0.75,
-0.5,
-1,
-0.5,
-0.25,
-0.5,
-0.25,
-0.75,
2,
-0.25,
-2.5,
0.75,
-1,
1.75,
-1.25,
0.25... | 0.972029 | [
-0.04211203373852983,
0.19973226900783717,
-0.25061984073388016,
0.08193236309925755,
0.42290999182305544,
-0.3142581292958648,
-0.024312058481099755,
0.5268269708466735,
-0.26920912862876806,
0.2850090046161702,
-0.19536219536645422,
0.3327053224136925,
0.1319439112348439,
0.2398013704569... | {
"n_parameters": 133,
"n_qubits": 11,
"optimal_eigenvalue": -21,
"target_ratio": 0.97,
"target_value": -20.37
} | 39 |
3d48be966ec63d77ff020a1223ab7d08 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 3, "s... | {"states": [1, 33], "expectation_value": -12.019423224994206, "params": [0.0059, 0.5321, 0.0038, 0.7609, 0.002, 0.8888, 0.5388000000000001, -0.0103, 0.0027, 0.8901, -0.058100000000000006, 0.779, 0.0026000000000000003, 0.7878000000000001, 0.003, 0.8886000000000001, 1.0537, 0.0035, -0.001, 0.7741, 0.0016, 0.6064, 0.00240... | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(2)) + -0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(4)) + 2.25 * (Z(8) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(7)) + -0.75 * (Z(3) @ Z(8)) + -0.5 * (Z(6) @ Z... | 4 | 9 | 3 | {"smallest_eigenvalues": [-12.5, -12.5, -12.5, -12.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -11.5, "smallest_bitstrings": ["111011110", "111010110", "101011110", "101010110"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.012254983271288555) q[0];
rz(2.8113188693117834) q[0];
rx(-0.012254983271288556) q[1];
rz(2.9440478202374276) q[1];
rx(-0.02209645444609827) q[2];
rz(2.70467411041005) q[2];
rx(0.9378896369973658) q[3];
rz(1.617640596306857) q[3];
rx(-0.04554104132355155) 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": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIIIZIZII",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIIZIIII",
"ZIIIIIIIZ",
"IIIIIZIZI",
"IIIIIZZII",
"IZIIIZIII",
"ZIIIIZIII",
"IIZIIIZII",
"IZZIIIIII",
"IIZIIZIII",
"IIIZIIZII",
"IIIZZIIII",
"IZIZIIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"... | [
-0.5,
-0.75,
-0.25,
-0.5,
-0.25,
-0.75,
-0.5,
-1,
2.25,
-0.5,
-0.5,
-0.5,
-0.75,
-0.5,
-0.75,
-0.25,
-0.25,
-1.25,
-0.25,
-0.75,
0.75,
-0.25,
-2,
-1,
0.75,
0.75,
1.5,
-1.5,
1
] | 0.970825 | [
-0.012254983271288555,
1.2405225425168875,
1.3732514934425306,
-0.02209645444609827,
1.1338777836151521,
0.9378896369973659,
0.046844269511960274,
-0.04554104132355155,
1.4046149511810124,
0.01677975110401399,
1.1944556000262676,
1.3057849448687786,
-0.02735154360095176,
1.3493420455931076... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 2 |
5f6a3a394989efc9e52881f3a8eeec48 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "targ... | {"states": [2047, 16383], "expectation_value": -27.26985320103878, "params": [[[-0.0023, 0.0082], [-0.0023, 0.0033], [1.5616, 0.0015], [-0.0027, 0.0067], [-0.0027, 0.0018000000000000002], [-0.0023, 0.0051], [1.5229000000000001, 0.0058000000000000005], [-0.003, 0.0095], [-0.0165, 0.0086], [1.4789, 0.0001], [-0.0019, 0.0... | -2.0 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(5)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + -2.0 * (Z(10) @ Z(11)) + -2.0 * (Z(12) @ Z(11)... | 2 | 14 | 1 | {"smallest_eigenvalues": [-33.00000000000002], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.999999999999577, "smallest_bitstrings": ["00000000000000"], "largest_eigenvalue": 23.000000000000057} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
rx(0.11597333896953514) q[0];
rz(0.8608880936441665) q[0];
rx(0.11597333896953514) q[1];
rz(0.2489684216702038) q[1];
rx(0.7108452020304438) q[2];
rz(-0.4972649510520928) q[2];
rx(-0.0819003569801321) q[3];
rz(-0.8515249484100191) q[3];
rx(-0.0819003569801321) 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[... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZZ",
"IIIIIIIIIIIZIZ",
"IIIIIIIIIIIZZI",
"IIIIIIIIIZZIII",
"IIIIIIIIZZIIII",
"IIIIIIIIZIZIII",
"IIIIIIIZIZIIII",
"IIIIIIIZIIZIII",
"IIIIIIIZZIIIII",
"IIIIIZZIIIIIII",
"IIIIZZIIIIIIII",
"IIIIZIZIIIIIII",
"IIZZIIIIIIIIII",
"IZZIIIIIIIIIII",
"IZIZIIIIIIIIII",
"ZIZIIIIIIIIIII"... | [
-2,
0.5,
-2,
-2,
-2,
-2,
-2,
-2,
-2,
-1.5,
-1.5,
0.5,
-2,
-2,
-2,
-2,
1,
-2,
1,
-1.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.986072 | [
0.11597333896953514,
0.8608880936441665,
0.2489684216702038,
0.7108452020304438,
-0.4972649510520928,
-0.0819003569801321,
-0.8515249484100191,
-0.2926625612922956,
0.1826228731189029,
-0.054233075853158494,
-0.31992506213722666,
-0.08834827120206457,
-0.6376035450775681,
-0.11340623832296... | {
"n_parameters": 24,
"n_qubits": 14,
"optimal_eigenvalue": -33.00000000000002,
"target_ratio": 0.97,
"target_value": -32.01000000000002
} | 27 |
b4844a241e7c75ea7eb690acd3c4c004 | graph_coloring | 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": [443, 427], "expectation_value": -3.76153343198653, "params": [3.0649, 0.006200000000000001, 2.9934000000000003, 0.003, 1.5350000000000001, 0.0027, 2.7714000000000003, 0.0081, 1.5593000000000001, 0.0039000000000000003, 3.0505, 0.0034000000000000002, 1.5416, 0.0037, 3.0273000000000003, 0.0014, 3.0193000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 ... | 18 | 9 | 1 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.25, "smallest_bitstrings": ["100010001", "010001100", "001100010", "100001010", "010100001", "001010100"], "largest_eigenvalue": 15.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[1] q;
rz(2.6652466560128794) q[0];
ry(0.015534336535229091) q[0];
rz(-2.4994394359393826) q[0];
| OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 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 |
f20b14ccaf46fd91ed39b9c05edbe906 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 1, "target"... | {"states": [14318, 14190], "expectation_value": -9.78192704941483, "params": [0.0609, -0.51, 1.0635000000000001, -0.1849, 1.0585, -0.07, 0.0863, -0.47800000000000004, 1.1189, -0.1009, 0.6477, -0.0046, 0.8962, 0.15030000000000002, 1.1824000000000001, 0.30510000000000004, 0.8922, 0.2533, 1.0666, -0.055200000000000006, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 4 | 15 | 3 | {"smallest_eigenvalues": [-10.249999999999988], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.24999999999997, "smallest_bitstrings": ["100100010010001"], "largest_eigenvalue": 30.7500000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-pi) q[0];
ry(-3.041947219049351) q[0];
h q[1];
ry(1.6318833541680478) q[1];
h q[2];
ry(-0.7379926998527211) q[2];
h q[3];
h q[4];
ry(0.8376298721779702) q[4];
cx q[1], q[4];
ry(-0.8376298721779702) q[4];
cx q[1], q[4];
h q[5];
ry(-0.7147883140515682) q[5];
h q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIZIIIIIZ",
"IIIIIIIZIIIIIZI",
"IIIIIIIZZIIIIII",
"IIIIIIZIIIIIZII",
"IIIIIIZIZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.5,
1.25,
1.25,
1.25,
1.25,
1.25,
1.2... | 0.991552 | [
1.626920252534508,
1.6318833541680478,
1.6752597443559405,
1.4055255953993955,
-1.4295766281031363,
1.526293908737557,
1.4857719885790526,
-1.4759853997054422,
1.5056411906827167,
-0.1302135460495614,
0.288295705195563,
0.02259902731407358,
0.052822537266667954,
0.02672121721962814,
-0.1... | {
"n_parameters": 24,
"n_qubits": 11,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
199bc20adfdca6d6b6a06391ec8e4ac2 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 4, "target": 5}, ... | {"states": [52, 75], "expectation_value": -0.8069647296009568, "params": [[-0.0599, -0.062, -0.07200000000000001, -0.0626], [0.0692, 0.0636, 0.0699, 0.065]], "bitstrings": ["1001011", "0110100"], "total_optimization_steps": 10, "probabilities": [0.01728939124745002, 0.01865161337932035], "optimization_time": 5.89904856... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + 0.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) + -0.5 * Z(6) + -0.5 * Z(5) + -0.5 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["0110100"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.4523877721739808) q[0];
cx q[2], q[0];
rz(-0.5386799338415806) q[0];
rx(1.0935187697481359) q[0];
h q[3];
cx q[2], q[3];
rz(-0.4523877721739808) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(-0.4523877721739808) q[1];
cx q[3], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIZI",
"ZIIIIZI",
"IZIIZII",
"ZIZIIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"ZIIIIII",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.677103 | [
-0.4523877721739808,
1.116287236063286,
-0.5386799338415805,
0.23783543840422666,
1.093518769748136,
-1.0373413032551704,
0.8730239505219086,
0.5760838156648229,
0.5260612418381394
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 229 |
2421fc9d3041dfa736f6d4a9d4006e90 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 8}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"sour... | {"states": [0, 404], "expectation_value": -2.8248974256745725, "params": [0.6061000000000001, -0.0025, 0.6072000000000001, 0.0092, 0.6065, 0.0004, 0.6071000000000001, 0.005200000000000001, 0.6006, 0.0022, 0.4369, 0.009000000000000001, 0.5971000000000001, -0.0023, 0.5872, 0.0002, 0.604, -0.0008, 0.6032000000000001, 0.00... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(7)) + -1.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(8) + -1.5 * Z(5) + -0.5 * Z(1) + -1.0 * Z... | 6 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.0, "smallest_bitstrings": ["110111000", "001101011", "011100011", "011000111", "100101011", "100111010", "001001111"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(2.2779869116325524) q[0];
rz(1.6465194947888158) q[0];
rx(0.8340313143412771) q[1];
rz(2.0541598094277482) q[1];
rx(-0.11333624983159174) q[2];
rz(0.34633543270048506) q[2];
rx(-0.2525533788168526) q[3];
rz(2.0446947210307567) q[3];
rx(0.6664791118695763) 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": []} | [
"IIIIIIZIZ",
"ZIIIIIIIZ",
"IIIZIIZII",
"ZIIZIIIII",
"IIIZIIIZI",
"IZIZIIIII",
"IZIIIIIZI",
"IIIIIZZII",
"IIZIIZIII",
"ZIIIZIIII",
"IZIIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIZIIIII",
"IIIIIIIZI",
"IZIIIIIII",
"IIIIIZIII",
"IIZIIIIII",
"IIIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1.5,
-0.5,
-1,
-0.5,
0,
-0.5
] | 0.972785 | [
2.277986911632552,
0.07572316799391968,
0.834031314341277,
0.4833634826328522,
-0.11333624983159173,
-1.2244608940944115,
-0.2525533788168526,
0.4738983942358602,
0.6664791118695764,
0.07800178962309622,
0.16186669581311247,
-0.42403597704975754,
2.301536437933079,
-0.027478768952440124,
... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 68 |
7d160cc7b50a54e4c33d04d7e7936b16 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"sour... | {"states": [88, 90], "expectation_value": -5.365182847918444, "params": [0.0023, 0.5438000000000001, 0.0031000000000000003, 0.006900000000000001, -0.0036000000000000003, 0.5321, -0.004, 0.0055000000000000005, 0.906, -0.003, 0.9102, 0.0028, 0.6972, 0.08800000000000001, 0.6951, 0.0077, 0.9084000000000001, -0.0025, 0.9004... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) ... | 7 | 9 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["110100101", "110000111"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.04107047173488463) q[0];
rz(0.4712598870474487) q[0];
rx(0.24985138103589538) q[1];
rz(0.4647335764075907) q[1];
cx q[1], q[0];
rz(0.13841562363948356) q[0];
cx q[1], q[0];
rx(0.10713366075000152) q[0];
rz(0.14542662650854718) q[0];
rx(-0.2505805387198144) q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIIIZ",
"IZIIIIIZI",
"IZIIIIIIZ",
"IIIZIIIZI",
"IIZIIIIZI",
"IIZIIIZII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIZIII",
"ZIIIZIIII",
"ZIIZIIIII",
"ZIIIIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IZIIIIIII",
"IIIZIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-1,
-1,
-1,
-1,
-1.5,
-0.5,
-1
] | 0.982206 | [
-0.04107047173488462,
0.6096755106869316,
0.24985138103589538,
0.4647335764075907,
1.6906563765556635,
-0.06050573772748559,
0.3075534903179382,
0.4008146558545256,
1.7152213890716492,
-0.3251533017084416,
1.3167607037959859,
-0.03490774715468983,
0.13449791162060273,
1.0511028601803476,
... | {
"n_parameters": 42,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 20 |
5423c73a68fe47c6453c3bd130085afd | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, ... | {"states": [1381, 1397], "expectation_value": -2.4511330677684815, "params": [1.494, 1.4904000000000002, -0.010100000000000001, -0.003, 1.4947000000000001, 1.4985000000000002, 0.0323, 0.0645, 1.2373, 1.3238, 1.4843000000000002, 1.487, 0.8469, 0.9037000000000001, 0.4258, 0.44270000000000004, 1.4982, 1.4934, 0.2351, -0.1... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(4)... | 14 | 11 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 28, "first_excited_energy": -2.25, "smallest_bitstrings": ["001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.6995043479892381) q[0];
rz(pi/2) q[0];
ry(-0.23839429781499205) q[1];
ry(0.5966957992803607) q[2];
ry(0.08426053220194742) q[3];
ry(0.5413054423366215) q[4];
ry(0.7450327815189158) q[5];
ry(1.1814139885109305) q[6];
ry(-0.25121121976709104) q[7];
ry(0.895114968628... | OPENQASM 3.0;
include "stdgates.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",
"IIIIIIZZIII",
"IIIIIIZZIIZ",
"IIIIIZIZIII",
"IIIIZIIZIII",
"IIIIZZIIIII",
"IIIIZZIZIII",
"IIIIIZZIIII",
"IIIZIIZIIII",
"IIZIIIZIIII",
"IIIZIZIIIII",
"IIZIIZIIIII",
"IIZZIIIIIII",
"IIIZIZZII... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25... | 0.972221 | [
0.6995043479892381,
-0.23839429781499205,
0.5966957992803607,
0.08426053220194742,
0.5413054423366215,
0.7450327815189158,
1.1814139885109305,
-0.25121121976709104,
0.8951149686288359,
0.1316557743308347,
0.7893210335609772,
0.6799996331661162,
0.13655913884539017,
-0.07487179750073304,
... | {
"n_parameters": 86,
"n_qubits": 11,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 18 |
-8906358433123276868 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 2, 5, 6, 7, 8], [9, 10], [1, 2, 3, 4, 5, 7], [0, 1, 2, 3, 5, 7, 10], [0, 1, 3, 4, 5, 6, 7, 8, 9], [2, 10, 6, 7], [10, 4, 6, 7], [1, 2, 4, 5, 6, 8, 10], [0, 1, 2, 8], [0, 2, 3, 5, 8, 10]]} | {"states": [1886, 862], "expectation_value": -2.293506141965856, "params": [2.2626, 0.3075, 1.3359, 0.0082, 2.2494, -0.10250000000000001, 0.8601000000000001, 0.0029000000000000002, 2.2295000000000003, -0.14830000000000002, 0.9082, 0.007200000000000001, 0.0594, 1.2308000000000001, 0.0514, 0.0079, 2.2458, -0.1283, 0.8397... | 0.1738095238095238 * (Z(0) @ Z(3)) + 0.14761904761904762 * (Z(6) @ Z(3)) + 0.10436507936507936 * (Z(6) @ Z(0)) + 0.14047619047619048 * (Z(7) @ Z(3)) + 0.04722222222222222 * (Z(7) @ Z(0)) + 0.07103174603174603 * (Z(7) @ Z(6)) + 0.1738095238095238 * (Z(8) @ Z(3)) + 0.07103174603174603 * (Z(8) @ Z(0)) + 0.1043650793650793... | 5 | 11 | 1 | {"smallest_eigenvalues": [-2.314285714285715], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3142857142857145, "smallest_bitstrings": ["10010100001"], "largest_eigenvalue": 9.500000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(2.205499300429772) q[0];
rz(0.367962562570332) q[0];
rx(2.306351433951457) q[1];
rz(-0.2441696112138323) q[1];
rx(2.279038879137142) q[2];
rz(-0.07171306305234193) q[2];
rx(-0.015051338815434887) q[3];
rz(1.2138494493486895) q[3];
rx(2.4412884485703543) q[4];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IIIIZIIZIII",
"IIIIZIIIIIZ",
"IIIZIIIZIII",
"IIIZIIIIIIZ",
"IIIZZIIIIII",
"IIZIIIIZIII",
"IIZIIIIIIIZ",
"IIZIZIIIIII",
"IIZZIIIIIII",
"IZIIIIIZIII",
"IZIIIIIIIIZ",
"IZIIZIIIIII",
"IZIZIIIIIII",
"IZZIIIIIIII",
"ZIIIIIIIIIZ",
"ZIIIZIIIIII",
"ZIIZIIIIIII",
"ZIZIIIIII... | [
0.1738095238095238,
0.14761904761904762,
0.10436507936507936,
0.14047619047619048,
0.04722222222222222,
0.07103174603174603,
0.1738095238095238,
0.07103174603174603,
0.10436507936507936,
0.21388888888888885,
0.1738095238095238,
0.16388888888888886,
0.10436507936507936,
0.07103174603174603,... | 0.970655 | [
2.205499300429772,
0.29878392870322207,
2.306351433951457,
-0.22973760907305774,
2.279038879137142,
-0.07650235064160565,
-0.015051338815434887,
1.175702497226375,
2.4412884485703543,
-0.05417927643281061,
0.30194160592498087,
-1.039243217677577,
1.8367900295859863,
0.011140199448983173,
... | {
"n_parameters": 54,
"n_qubits": 11,
"optimal_eigenvalue": -2.314285714285715,
"target_ratio": 0.97,
"target_value": -2.2448571428571436
} | 3 |
20970404a709abf32c149bb2130f8702 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "target": 7}, {"sour... | {"states": [70, 86], "expectation_value": -5.735565193201615, "params": [0.3151, 0.0011, 0.0022, 0.0023, 2.6026000000000002, 0.008400000000000001, 0.34240000000000004, 0.0049, 1.6282, 0.0067, -0.002, 0.0055000000000000005, 2.612, 0.0059, 2.5781, 0.002, 0.0018000000000000002, 0.006, 0.0077, 0.0041, 0.0071, 0.0079, 0.003... | 0.5 * (Z(0) @ Z(1)) + 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(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(6) @ Z(8)) + -1.0 * Z(1) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["110101001", "010101011"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.008100997169513652) q[0];
rz(0.09314649115011298) q[0];
rx(0.03297571710268473) q[1];
rz(-0.4303515496204473) q[1];
rx(3.063349409668553) q[2];
rz(-0.25740545072923426) q[2];
rx(-0.07087780900880866) q[3];
rz(0.3838961333053579) q[3];
rx(2.505353322053215) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIZIIIIZ",
"IZIIIIIZI",
"IZIIIIIIZ",
"IIIIZIIZI",
"IIIZZIIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIIZZIII",
"IIIIIZZII",
"ZZIIIIIII",
"ZIIIZIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIZIIIII",
"IZIIIIIII",
"IIIIZIIII",
"IIIIIIZII",
"IIIIIZIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1,
-1.5,
-1,
-1,
-1.5,
0
] | 0.977622 | [
0.008100997169513652,
0.09711586283742062,
0.03297571710268472,
-0.44979673269203657,
3.063349409668553,
-0.20642398970782905,
-0.07087780900880866,
0.2726565252396421,
2.505353322053215,
-0.2539521955086739,
-0.09254620986450908,
0.10223285381813152,
3.0474445740874065,
-0.052184224105478... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 10 |
2353079fa286d356ce3844ef645b5899 | 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": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 1, "source": 2, ... | {"states": [127, 1], "expectation_value": -0.5937994039927538, "params": [[-0.057600000000000005, -0.0546], [0.0732, 0.0632]], "bitstrings": ["10000000", "11111110"], "total_optimization_steps": 10, "probabilities": [0.006394701433932124, 0.006428875783330859], "optimization_time": 3.5166401863098145} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(2)) + 0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-6.75, -6.75, -6.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.75, "smallest_bitstrings": ["11111110", "10001000", "10000000"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-0.014476605054925226) q[0];
ry(-0.08302690308798039) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5021299714943626) q[2];
ry(-0.20507589807993404) q[3];
rz(-pi) q[3];
ry(-0.0064225517544533916) q[4];
rz(-pi) q[4];
ry(-0.007758952866561823) q[5];
rz(-pi) q[5];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIIIIZZI",
"ZIIIIIIZ",
"ZIIIIIZI",
"IZIZIIII",
"IZIIIZII",
"IZIIIIZI",
"ZZIIIIII",
"IIIZZIII",
"IIIIZZII",
"IIIIZIZI",
"IZIIZIII",
"IIZZIIII",
"IIZIIZII",
"IZZIIIII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"ZIIIIIII",
"IZIIIIII",
"IIIIZIII",
"IIZIIII... | [
-0.5,
-0.5,
0.75,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
-0.5,
-0.5,
-1,
-0.25,
-1.5,
-0.25,
0.25,
0.5,
1,
1.25
] | 0.996058 | [
-1.5021299714943626,
-1.527893052920365,
-1.541794211553103,
1.640141240938177,
-1.440851768577839,
-1.2949408354430672,
-1.5107160653792404,
-0.09383531025815497,
-0.1415591865437907,
-0.24437121070099205,
-0.08695744059343821,
-0.07296144424015699,
-0.059381324036815154
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 1 |
64945dc18f78a33560af97db99744897 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [116, 100], "expectation_value": -0.11515889639244659, "params": [[0.0472], [-0.042]], "bitstrings": ["0001011", "0011011"], "total_optimization_steps": 10, "probabilities": [0.008275963636159548, 0.008344680225801758], "optimization_time": 1.542785406112671} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(3) + -0.5 * Z(0) + -1.5 * Z(6) + -1.0 * Z(1) + -1.0 * Z(5) + -0.5 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0001111", "0011011"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.2783255282545953) q[0];
rz(pi/2) q[0];
ry(0.2098726946505716) q[1];
ry(-0.2971753570411197) q[2];
ry(1.8475869709337933) q[3];
ry(1.2736064911365077) q[4];
ry(1.5300807043468985) q[5];
ry(-0.06522544513086462) q[6];
ry(0.10855046058699067) q[7];
ry(1.7942520048077... | 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(x0) q[6];
cx q[3], q[6];
cx q[0], q[6];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"ZIIZIII",
"ZIIIIIZ",
"IIIZIZI",
"ZIIIIZI",
"IZIIIZI",
"IZIIZII",
"IIZZIII",
"ZIZIIII",
"IZZIIII",
"IIZIZII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IZIIIII",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-1,
-1,
-0.5,
-1.5
] | 0.976148 | [
1.2783255282545953,
0.2098726946505716,
-0.2971753570411197,
1.8475869709337933,
1.2736064911365077,
1.5300807043468985,
-0.06522544513086462,
0.10855046058699067,
1.79425200480774,
1.6453756548170875,
1.4151041434118912,
1.0145851845776537,
0.9277303499731857,
0.14059789426484096,
1.214... | {
"n_parameters": 43,
"n_qubits": 11,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 62 |
-5036348461379120819 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 4], [0, 1, 2, 7], [0, 1, 2, 3, 8], [0, 2, 4, 6], [1, 2, 3, 7, 8], [5, 6, 7], [1, 4, 6], [0, 1, 5], [0, 2, 5, 6], [0, 2, 3, 4], [8, 3, 4, 6], [1, 2, 4, 5], [1, 2, 3, 5], [8, 5, 6], [0, 1, 4, 7], [1, 5, 6], [1, 3, 4]]} | {"states": [423, 485], "expectation_value": -2.3564104705950637, "params": [[-0.28400000000000003], [0.2674]], "bitstrings": ["001011000", "000011010"], "total_optimization_steps": 30, "probabilities": [0.006365467483451377, 0.00638419815918839], "optimization_time": 25.24676203727722} | 0.26666666666666666 * (Z(8) @ Z(1)) + 0.6666666666666666 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(8)) + 0.3833333333333333 * (Z(0) @ Z(1)) + 0.05 * (Z(0) @ Z(8)) + 0.25 * (Z(0) @ Z(4)) + 0.35 * (Z(2) @ Z(1)) + 0.1 * (Z(2) @ Z(8)) + 0.25 * (Z(2) @ Z(4)) + 0.3833333333333333 * (Z(2) @ Z(0)) + 0.21666666666666667 * (Z(7) @ Z(1)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.033333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.9999999999999996, "smallest_bitstrings": ["000011010"], "largest_eigenvalue": 17.0} | 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[1], q[8];
rz(-0.008717962152723621) q[8];
cx q[1], q[8];
cx q[1], q[4];
rz(-1.406743970120196) q[4];
cx q[1], q[4];
cx q[1], q[0];
rz(-0.012141039222267173) q[0];
cx q[1], q[0];
cx q[1], q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIZI",
"IIIIZIIZI",
"ZIIIZIIII",
"IIIIIIIZZ",
"ZIIIIIIIZ",
"IIIIZIIIZ",
"IIIIIIZZI",
"ZIIIIIZII",
"IIIIZIZII",
"IIIIIIZIZ",
"IZIIIIIZI",
"ZZIIIIIII",
"IZIIZIIII",
"IZIIIIIIZ",
"IZIIIIZII",
"IIIIIZIZI",
"ZIIIIZIII",
"IIIIZZIII",
"IIIIIZIIZ",
"IIIIIZZII",
"IZIIIZIII",
"... | [
0.26666666666666666,
0.6666666666666666,
0.25,
0.3833333333333333,
0.05,
0.25,
0.35,
0.1,
0.25,
0.3833333333333333,
0.21666666666666667,
0.05,
0.08333333333333333,
0.16666666666666666,
0.13333333333333333,
0.35,
0.18333333333333335,
0.3333333333333333,
0.13333333333333333,
0.26... | 0.816402 | [
-0.008717962152723621,
-1.406743970120196,
-0.008719688757542006,
-0.012141039222267173,
-0.0007450045623586159,
-0.018505649785897478,
-0.0021783256421461336,
-0.015034120291113338,
0.00691245611749575,
0.003766091917136392,
-0.0033721757150812185,
-0.0014718396824645354,
-0.000731447614128... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -4.033333333333333,
"target_ratio": 0.97,
"target_value": -3.912333333333333
} | 455 |
7088155896189521367 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 5], [0, 2, 3], [3, 4], [1, 3], [0, 2, 4], [1, 2, 4], [0, 1]]} | {"states": [26, 45], "expectation_value": -2.0854461072035653, "params": null, "bitstrings": ["100101", "010010"], "total_optimization_steps": 36, "probabilities": [0.03932089736558078, 0.8157007685182215], "optimization_time": 33.007139921188354} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.3333333333333333 * (Z(4) ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.333333333333333, "smallest_bitstrings": ["010010"], "largest_eigenvalue": 5.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(0.8648697531034595) q[1];
cx q[5], q[1];
cx q[1], q[0];
rz(0.8648697531034595) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.151343928777887) q[2];
cx q[1], q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.3594446461... | 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(1.4449) 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 \"stdgat... | [
"ZIIIZI",
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0,
0.16666666666666674,
0.33333333333333326,
0.5,
0.16666666666666674,
0.33333333333333326
] | 0.60647 | [
0.8648697531034595,
-0.151343928777887,
0.3594446461181023,
0.09491402901401497,
-0.862875897399715
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -2.333333333333334,
"target_ratio": 0.97,
"target_value": -2.2633333333333336
} | 135 |
299d787a74f99e62ffab217c63ae883b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [246, 118], "expectation_value": -48.75125658062877, "params": [0.3764, 0.2008, 0.6927, 0.0109, 0.6955, 0.0071, 0.6914, 0.0346, 0.3534, 0.28340000000000004, 0.6967, 0.0038, 0.7032, 0.11910000000000001, 0.2745, 0.24020000000000002, 0.37560000000000004, 0.19640000000000002, 0.6898000000000001, 0.0046, 0.695900... | 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(0) @ Z(3)) + 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(3)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(6)) + 15.0 * Z(3) + 13.5 * Z(2) + 7.0 * Z(0) + 16.5 * Z(1) + 4.5 * Z(4) + 5.0 * Z(5) + 9.5 * Z(6) + 3.0 * ... | 18 | 8 | 4 | {"smallest_eigenvalues": [-65.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 124.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-1.5318335079287495) q[0];
rz(-pi) q[0];
h q[1];
ry(38.66427475368442) q[1];
ry(-0.42016611955936695) q[2];
rz(-pi) q[2];
h q[3];
ry(1.8573385037833736) q[3];
rz(-pi) q[4];
ry(-0.8069269378406911) q[4];
ry(-1.5220527253899234) q[5];
rz(-pi) q[5];
cx q[3], q[5];
ry(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIZZII",
"IIIIZIIZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIIZZI",
"IIIIIIZZ",
"IIZZIIII",
"IZIZIIII",
"ZIIIIIZI",
"ZZIIIIII",
"IIIIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
15,
13.5,
7,
16.5,
4.5,
5,
9.5,
3
] | 0.97797 | [
38.66427475368442,
1.8573385037833736,
4.595545542478353,
3.7912764854491434,
6.156383487319838,
0.15611643690955093,
0.13739249197171738,
-8.509752040200786,
62.82017936949426,
1.5396837381929476,
10.288457604491319,
11.102862993521487,
1.3876001279902421,
-52.8654378827978,
-63.7316484... | {
"n_parameters": 61,
"n_qubits": 8,
"optimal_eigenvalue": -65,
"target_ratio": 0.97,
"target_value": -63.05
} | 34 |
33b2be145a0c62bacf2b1fe6560b3105 | 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": 2, "source": 0, "target": 8}, {"capacity": 1, "source": 0, "target": 10}, {"capacity": 2, "source": 1, "target"... | {"states": [0, 1021], "expectation_value": -13.91538411052658, "params": [[[0.0651, -0.014], [-0.656, 1.3034000000000001], [-0.0028, 0.613], [-0.0031000000000000003, -0.0023], [-0.0066, -0.0019], [0.3019, 0.0023], [-0.003, 0.0031000000000000003], [-0.0031000000000000003, -0.0019], [-0.0029000000000000002, -0.0024000000... | -0.5 * (Z(0) @ Z(9)) + 0.75 * (Z(2) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(8) @ Z(2)) + -0.5 * (Z(8) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(8)) + -0.25 * (Z(6) @ Z(8)) + -0.75 * (Z(6) @ Z(3)) + -0.5 * (Z(7) @ Z(9)) + -1.0 * (Z(7) @ Z(3)) + -1.25 * (Z(7) @ Z(6)) + -0.5 * (Z(4) @ Z(9)) + -1.25 * (Z(5) @... | 15 | 11 | 2 | {"smallest_eigenvalues": [-15.5, -15.5, -15.5, -15.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -14.5, "smallest_bitstrings": ["10000000010", "10001010010", "10001000010", "10000010010"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.06987577094227189) q[0];
ry(0.40069659118326334) q[1];
ry(0.048623234780414026) q[2];
ry(0.006145251819789629) q[3];
ry(-0.35788379466948106) q[4];
ry(0.014833433806324271) q[5];
ry(-0.06987577094227189) q[6];
ry(0.048623234780414026) q[7];
ry(0.06538101335083699... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IZIIIIIIIIZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIZIIIIIZII",
"IIZIIIIIIZI",
"IIIIIIIZZII",
"IIZIIIIZIII",
"IIZIZIIIIII",
"IIIIZIIZIII",
"IZIZIIIIIII",
"IIIZIIIZIII",
"IIIZZIIIIII",
"IZIIIIZIIII",
"IIIIIZIZIII",
"IIIZIZIIIII",
"IIIIIZZIIII",
"ZIIIIIIIZII",
"ZIIIIIIIIZI",
"ZIZIIIIII... | [
-0.5,
0.75,
-0.75,
-0.25,
-0.5,
-0.5,
-0.75,
-0.25,
-0.75,
-0.5,
-1,
-1.25,
-0.5,
-1.25,
-0.25,
-1,
-1,
-1,
-0.75,
-0.5,
-1.5,
-0.25,
-1.75,
0.25,
-1.5,
1.75,
-2.25,
1,
-0.5,
2.5,
2.25
] | 0.975819 | [
-0.06987577094227189,
0.40069659118326334,
0.048623234780414026,
0.006145251819789629,
-0.35788379466948106,
0.014833433806324271,
0.06538101335083699,
-0.058580516923166875,
0.16977209564440804,
1.239181331994335,
-0.052208310054220594,
-0.0420669583157945,
0.08847720098121456,
0.02835768... | {
"n_parameters": 45,
"n_qubits": 11,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 29 |
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