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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
3e4d650699fe53f4a923a699796ce209 | 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": [126, 94], "expectation_value": -57.80905137510202, "params": [0.0034000000000000002, 0.752, 1.075, -0.0897, 0.4822, -0.2818, 1.0655000000000001, -0.0017000000000000001, 1.0682, 0.0412, 1.0645, 0.0013000000000000002, 1.0707, 0.25370000000000004, 0.3437, 0.5118, 0.0009000000000000001, 0.7569, 1.0749, -0.0775,... | 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(2) @ Z(5)) + 5.0 * (Z(2) @ Z(4)) + 5.0 * (Z(3) @ Z(5)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(6)) + -3.0 * Z(0) + 10.0 * Z(1) + 16.0 * Z(5) + 12.5 * Z(4) + 13.5 * Z(2) + 19.5 * Z... | 18 | 8 | 3 | {"smallest_eigenvalues": [-64.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.0, "smallest_bitstrings": ["10100001"], "largest_eigenvalue": 135.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.13923155919991076) q[0];
rz(0.7189687115013581) q[0];
rx(1.018425772087803) q[1];
rz(-0.07131052118439331) q[1];
rx(0.07255570152056132) q[2];
rz(-0.5676299856978793) q[2];
rx(1.0792084850857238) q[3];
rz(-0.0643748554089889) q[3];
rx(1.1980114023750552) q[4];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIZIIIZI",
"IIZZIIII",
"IIZIIZII",
"IIIZIZII",
"IIZIZIII",
"IIIZZIII",
"IIIIZZII",
"IZIIIZII",
"ZIIIZIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIZIIIII",
"IIIZIIII",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
-3,
10,
16,
12.5,
13.5,
19.5,
6.5,
5
] | 0.971532 | [
0.13923155919991076,
0.9645545172369935,
1.018425772087803,
-0.07131052118439331,
0.07255570152056132,
-0.5676299856978793,
1.0792084850857238,
-0.0643748554089889,
1.1980114023750552,
0.13928784570030964,
1.15834200795164,
0.000033457592211502685,
1.0152478361759638,
0.44540598333462955,
... | {
"n_parameters": 68,
"n_qubits": 8,
"optimal_eigenvalue": -64,
"target_ratio": 0.97,
"target_value": -62.08
} | 8 |
184be31d5cef7a0df96adb60f009b8f5 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, ... | {"states": [42, 26], "expectation_value": -4.496515541748614, "params": null, "bitstrings": ["1010101", "1100101"], "total_optimization_steps": 24, "probabilities": [0.06700896507646317, 0.9297460583128401], "optimization_time": 18.717585802078247} | 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(4) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + -1.0 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.5 * Z(4) + -1.5 * Z(6) + -0.5 * Z(1) + 0.0 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011101", "1010101", "1011001", "1100101", "1100110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.511712744486858) q[0];
h q[1];
ry(-0.49471069376631144) q[1];
h q[2];
cx q[2], q[1];
ry(0.49471069376631144) q[1];
cx q[2], q[1];
ry(-0.6936347221829589) q[1];
ry(1.0009674514056612) q[2];
h q[3];
ry(1.5013838288438324) q[3];
cx q[3], q[2];
ry(-0.299297876... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZZI",
"ZIIIIZI",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-0.5,
-1.5,
-1.5,
-0.5,
0
] | 0.994527 | [
-1.511712744486858,
-1.6447834892120756,
-1.5273305942628348,
1.5013838288438324,
1.4417536248617866,
-0.9894213875326229,
0.7016695747878551,
-0.5049361799190388,
0.598595753235612,
-0.3773970845278402,
0.15889937565015966,
-0.04416035628984544,
-0.19694947548304464,
0.20522778123686816,
... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
fcba12f78dbb04a944afdfe31d032329 | 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": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, ... | {"states": [192, 65], "expectation_value": -8.757710758125171, "params": null, "bitstrings": ["00111111", "10111110"], "total_optimization_steps": 29, "probabilities": [0.14460675854263316, 0.8514784116344465], "optimization_time": 33.52521514892578} | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["10111110"], "largest_eigenvalue": 6.5} | 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(0.4254799601393619) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.4254799601393619) q[4];
cx q[3], q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.0294819745702197) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.0294819745702197) ... | 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];\ncry(-1.5681) q[7], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"IZIIIIIZ",
"IIIIZIZI",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIIIIIZI",
"IIIIZZII",
"IIIZIZII",
"IZIIIZII",
"ZIIIIZII",
"IIZIZIII",
"IIZZIIII",
"IZZIIIII",
"IIZIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIIIIZI... | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
1.75,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-1,
0,
-0.25,
-0.5,
0.25,
0.5,
1,
0,
-1
] | 0.965139 | [
0.4254799601393619,
0.0294819745702197,
-0.8480239773916536,
0.4187717515697565,
0.6696261157821541,
0.305487811964182,
0.5015073803258601,
-0.3150905293887279,
0.8566058060930665,
0.5723667175968977,
-0.1886534447062073,
-0.03350896778430279,
1.0910279095719788,
-0.16547738044583582,
-0... | {
"n_parameters": 37,
"n_qubits": 8,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 500 |
10b46313f5ba69fed433ce41b4ff5c0d | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"sour... | {"states": [255, 127], "expectation_value": -0.6972030777693958, "params": [[0.060500000000000005], [-0.0487]], "bitstrings": ["00000000", "10000000"], "total_optimization_steps": 10, "probabilities": [0.0051416717414485376, 0.005202524902735193], "optimization_time": 2.3833377361297607} | -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -2.0 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(7)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + -0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(3.1415924732857192) q[0];
ry(0.5897985035031317) q[0];
rz(-1.570796109836262) q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.9955658339146248) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.18520990155983186) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.3654981619502446)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3]... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"IIIZIZII",
"IIIZIIZI",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII",
"IIIIIIIZ"
] | [
-2,
1,
-2.5,
-2,
-2,
-2.5,
0.5,
-2,
0.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.550263 | [
-0.9955658339146248,
-0.18520990155983186,
-0.3654981619502446,
-0.05172706052669016,
-1.617305251173022,
-1.5707962061238967,
-0.9809978232917758
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 215 |
22a94de1002e0d6d41a3223e7d8b4569 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 7}, {"weight": 20, "source": 0, "target": 4}, {"weight": 11, "source": 1, "tar... | {"states": [391, 230], "expectation_value": -20.369393794837368, "params": [[-0.027200000000000002, 0.0455, 0.0145], [0.0443, -0.0465, -0.050100000000000006]], "bitstrings": ["001111000", "100011001"], "total_optimization_steps": 10, "probabilities": [0.005653290858697234, 0.00654983408458509], "optimization_time": 14.... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 16.5 * Z(2) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-81.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.5, "smallest_bitstrings": ["100011001"], "largest_eigenvalue": 173.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.018803918222292024) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.018803918222292024) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.018803918222292024) q[1];
cx q[0], q[1];
h q[3];
cx q[0], q[3];
rz(-0.018803918222292024) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIZIIIZI",
"IIZIIIIZI",
"IIZIIZIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIIIZIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"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,
4.5,
16.5,
9,
19,
10,
8.5,
17.5,
14,
10.5,
-5.5
] | 0.978005 | [
-0.018803918222292024,
1.5941969511908811,
-0.8457615311102443,
1.5531584674778314,
1.5797839430751517,
-1.3831799448418733,
1.719160726069657,
1.5292813247974164,
-1.6499747686190398,
-1.2498139219776907,
-1.5701305232110854
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -81.5,
"target_ratio": 0.97,
"target_value": -79.05499999999999
} | 41 |
b2a86e79e509d0d76748a475959a4d60 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [116, 86], "expectation_value": -4.499864026544098, "params": null, "bitstrings": ["0001011", "0101001"], "total_optimization_steps": 32, "probabilities": [1.6414164175804003e-05, 0.9999125885898585], "optimization_time": 24.311022758483887} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(5) + -1.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0101001"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.10531842151091338) q[0];
cx q[3], q[0];
rz(0.4891930059834122) q[0];
rx(-0.0661317683158416) q[0];
cx q[3], q[1];
rz(0.10531842151091338) q[1];
cx q[3], q[1];
cx q[1], q[2];
rz(0.10531842151091338) q[2];
cx q[1], q[2];... | 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", ... | [
"IIIZIIZ",
"IIIZIZI",
"IIIIZZI",
"IZIZIII",
"IZIIIZI",
"ZIIZIII",
"ZIIIZII",
"ZIZIIII",
"IIIZIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-0.5,
-0.5,
-1,
0
] | 0.981939 | [
0.10531842151091338,
-0.9612079782757411,
0.4891930059834108,
-0.3889941233568148,
0.09888614070956181,
-0.06613176831584158,
-0.15982742550497311,
-0.9131467726130178,
-0.7744447103826919,
0.963045529704064,
-0.42018965464630975,
0.1277451781058455,
0.12286825244091745,
-0.142262780034014... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 44 |
c66868cece5db54e96ff4f9b7d9ede39 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1182, 1166], "expectation_value": -81.11219923464793, "params": [2.5064, 0.0097, 0.003, 0.006900000000000001, 0.0023, 0.007500000000000001, 2.503, 0.0008, 1.2546000000000002, 0.0091, 0.003, 0.008400000000000001, 1.494, 0.0037, 2.5020000000000002, 0.0054, 2.5064, 0.005200000000000001, 2.4984, 0.0077, -0.0018... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(3) @ Z(0)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(5) @ Z(8)) + 8.0 * (Z(6) @ Z(8)) + 8.0 * (Z(7) @ Z(4)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(9) @ Z(6)) + 8.0 * (Z(10) @ Z(9)) + -6.0 * Z(1) + 6.0 * Z(0) + 10.0 * Z(3) + 4.5 * Z(4) + 14.5 * Z(8) + -6.0 * Z(5) + 10.0 * Z(6) + 14.... | 18 | 11 | 1 | {"smallest_eigenvalues": [-112.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -104.5, "smallest_bitstrings": ["01101110001"], "largest_eigenvalue": 142.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-3.0880301050541163) q[0];
rz(-0.5043272986506224) q[0];
rx(-0.011715947225911905) q[1];
rz(0.5322365531416164) q[1];
rx(-0.2478367130172508) q[2];
rz(-0.035515462977963874) q[2];
rx(3.0427181993880454) q[3];
rz(0.37971679572624256) q[3];
rx(0.5361863539586373) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIIZ",
"IIIIIIZZIII",
"IIZIIZIIIII",
"IIZIZIIIIII",
"IIIZIIZIIII",
"IIZZIIIIIII",
"IIIZZIIIIII",
"IZIIZIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIZIIIIIIII",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IIIZIIIIIII",
"IZIIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
-6,
6,
10,
4.5,
14.5,
-6,
10,
14,
7,
-3.5,
-12
] | 0.973943 | [
3.1951552021254703,
-0.3333333960497295,
-0.011715947225911905,
0.5322365531416164,
-0.2478367130172508,
-0.035515462977963874,
3.0427181993880454,
0.37971679572624256,
0.5361863539586373,
-0.21317318626433804,
0.15807279843076916,
0.3261219396289169,
-0.321006326976445,
3.1264200382993903... | {
"n_parameters": 29,
"n_qubits": 11,
"optimal_eigenvalue": -112.5,
"target_ratio": 0.97,
"target_value": -109.125
} | 13 |
c5d57071b024d109c38c43678d62eaf1 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}]} | {"states": [6, 1], "expectation_value": -0.14191909684084728, "params": [[-0.0524], [0.0601]], "bitstrings": ["001", "110"], "total_optimization_steps": 10, "probabilities": [0.12876150923126017, 0.1383211784971734], "optimization_time": 1.664414882659912} | -1.25 * (Z(0) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -1.25 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2) | 1 | 3 | 1 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.75, "smallest_bitstrings": ["110"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.770690699219718) q[0];
h q[1];
ry(1.4871712470846223) q[1];
ry(-2.708001184483433) q[2];
rz(-pi) q[2];
cx q[1], q[2];
ry(-0.4298731353811252) q[2];
cx q[1], q[2];
cx q[1], q[0];
ry(-0.770690699219718) q[0];
cx q[1], q[0];
ry(0.1454074864826947) q[0];
ry(-0.... | 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(x1) q[2];
cx q[0], q[2];
rz(x0) q[1];
rz(x2) q[0];
rz(x1) q[2];
h q[0];
rz(x3) q[0];
h q[0];
h ... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} | [
"IZZ",
"ZIZ",
"IZI",
"IIZ",
"ZII"
] | [
-1.25,
1.5,
-1.25,
-0.25,
1.5
] | 0.998049 | [
0.707331722307411,
1.4871712470846223,
0.8597462707622504,
-1.3799562985781975,
-1.4711756176015598,
1.541381398439436,
-1.3965271552689695,
-0.16148817852256322,
-0.2575056935640775,
0.2663957319896916,
-0.1803796305048725,
0.0016697777359003935,
-0.24197649101399368
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -9.3,
"target_ratio": 0.97,
"target_value": -9.021
} | 1 |
247ede82bbc36285f5765c81a230f94f | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target":... | {"states": [510, 508], "expectation_value": -0.9306389745050364, "params": [[-0.0804], [0.0722]], "bitstrings": ["000000001", "000000011"], "total_optimization_steps": 10, "probabilities": [0.003031576031122661, 0.003037009468957379], "optimization_time": 2.3098719120025635} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(5) + -1.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["000000011"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.0783724732087645) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.8060979239424118) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.8060979239424118) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.1477328261951266) q[3];
cx q[1], 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;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x1) q[2];
cx q[1], q[2];
cx... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIZIZIIII",
"IIZZIIIII",
"IIIZZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIZIIIIII",
"IIIIZIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-1.5,
-2,
-2,
0.5,
0.5,
-2,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.549908 | [
1.0783724732087645,
0.8060979239424118,
0.1477328261951266,
1.6446462710040042,
0.940547812914101
] | {
"n_parameters": 5,
"n_qubits": 9,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 155 |
a6da0588e4f06076b5c2f06ef98c16c3 | 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": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [97, 112], "expectation_value": -2.555142885394389, "params": [0.5086, 0.001, 0.5014000000000001, -0.0317, 0.5097, -0.047900000000000005, 0.5041, 0.0129, 0.496, -0.1768, 0.49050000000000005, -0.217, 0.1068, 0.30760000000000004, 0.0668, 0.3, -0.020300000000000002, 0.2743, -0.0228, 0.2679, -0.0177, 0.2787, -0.... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(3) + 0.0 * Z(0) + -1.0 * Z(4) + -0.5 * Z(1) + -1.0 * Z(5) + -0.5 * Z(2) + -0.5 * Z(6) | 5 | 7 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5, "smallest_bitstrings": ["0101011", "1000111", "1010110", "0011110", "0111100", "0111001", "0001111"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.6893829270649235) q[0];
rz(-0.15246847792251517) q[0];
rx(0.8054746318133343) q[1];
rz(-0.1838163856781594) q[1];
rx(0.4051055585965716) q[2];
rz(-0.22350801436726764) q[2];
rx(0.0026468023417618863) q[3];
rz(0.4052824277792104) q[3];
rx(-0.3718109169788402) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZZIII",
"IIZIIZI",
"IZIZIII",
"IZIIIZI",
"IZIIZII",
"ZIZIIII",
"ZIIIZII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-1,
-0.5,
-1,
-0.5,
-0.5
] | 0.983472 | [
0.6893829270649237,
-0.15421740938566555,
0.8054746318133343,
-0.21500998908504157,
0.40510555859657166,
-0.1561534392208339,
0.0026468023417618863,
0.26630454616751786,
-0.37181091697884017,
-0.029580537836861695,
-0.013845030580932005,
0.086408608200701,
0.9631530342970905,
0.09314220419... | {
"n_parameters": 69,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 12 |
1c43c94da61f0edfd0d443bbe88c06e0 | 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": 5, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 3, "source": 1, "target": 6}, {"capacity": 5, "s... | {"states": [510, 113], "expectation_value": -4.416765703705935, "params": [[0.1458], [-0.1366]], "bitstrings": ["000000001", "110001110"], "total_optimization_steps": 20, "probabilities": [0.006770872889055612, 0.00688268373270424], "optimization_time": 2.4680027961730957} | -1.25 * (Z(0) @ Z(5)) + -1.5 * (Z(7) @ Z(5)) + -1.0 * (Z(7) @ Z(0)) + -1.75 * (Z(1) @ Z(5)) + -0.25 * (Z(1) @ Z(7)) + -1.0 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(7)) + -1.75 * (Z(3) @ Z(1)) + -1.0 * (Z(4) @ Z(7)) + -1.25 * (Z(4) @ Z(3)) + -1.75 * (Z(8) @ Z(5)) + 2.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-16.75, -16.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.75, "smallest_bitstrings": ["110001110", "111001110"], "largest_eigenvalue": 27.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.7096524538958177) q[0];
ry(-1.1660792535146889) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
ry(0.8016063020009442) q[3];
h q[4];
ry(1.6215168305103076) q[4];
cx q[4], q[1];
ry(-0.4940019436085512) q[1];
cx q[4], q[1];
cx q[4], q[3];
ry(-0.8016063020009442) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIZIIIIZ",
"IZIZIIIII",
"IZIIIIIIZ",
"IIIZIIIZI",
"IZIIIIIZI",
"IIZZIIIII",
"IIZIIIIZI",
"IIIIIIZZI",
"IZIIIZIII",
"IIIIIZIZI",
"IZIIZIIII",
"IIIIZZIII",
"ZIIZIIIII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIIIIIZI",
"IIZIIIIII",
"IIIIIIZII",
"... | [
-1.25,
-1.5,
-1,
-1.75,
-0.25,
-1,
-0.75,
-1.25,
-0.75,
-1.75,
-1,
-1.25,
-1.75,
2.5,
-1,
1.75,
-0.25,
-1,
-4.25,
-1.75,
1.25,
2.75,
1.75,
-0.25
] | 0.97075 | [
-0.8987190168887589,
-1.4193049077916353,
1.6215168305103076,
0.9880038872171024,
1.6032126040018884,
-1.4802450475759676,
1.1733599915568218,
-0.4209759517363419,
0.23543620061110307,
0.4637882315916415,
-0.5565317828448001,
-0.9536877394305293,
-1.1299335465881095,
-0.21413418314641697,
... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -16.75,
"target_ratio": 0.97,
"target_value": -16.2475
} | 62 |
b4844a241e7c75ea7eb690acd3c4c004 | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 2}, {"weight": 7, "source": 1, "target": 2}]} | {"states": [1, 0], "expectation_value": -0.9999963636222439, "params": null, "bitstrings": ["0", "1"], "total_optimization_steps": 2, "probabilities": [1.8181888780401846e-06, 0.9999981818111219], "optimization_time": 0.1641216278076172} | -1.0 * Z(0) | 5 | 1 | 2 | {"smallest_eigenvalues": [-1.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": 1.0, "smallest_bitstrings": ["1"], "largest_eigenvalue": 1.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[1] q;
rz(2.6652466560128794) q[0];
ry(0.015534336535229091) q[0];
rz(-2.4994394359393826) q[0];
| null | {"start_node": 0, "end_node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[1] c;\nqubit[1] q;\nh q[0];\nry(-1.5681) q[0];\nc[0] = measure q[0];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[1] c;\nqubit[1] q;\nh q[0];\nry(-1.5681) q[0];\nc[0] = measure q[0];\n"], "gradients": [1.0, 0.001]} | [
"Z"
] | [
-1
] | 0.999879 | [
-0.13358933430461783,
0.05925579854844312,
0.1941292476304146,
-0.0004540644499549003,
-0.07413458086647713,
0.10747849798655963
] | {
"n_parameters": 6,
"n_qubits": 1,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 1 |
b4844a241e7c75ea7eb690acd3c4c004 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [1, 2], "expectation_value": -0.8831399904840993, "params": null, "bitstrings": ["110", "101"], "total_optimization_steps": 8, "probabilities": [0.12891599074045149, 0.7538151034229991], "optimization_time": 2.3020548820495605} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) | 1 | 3 | 2 | {"smallest_eigenvalues": [-1.0, -1.0, -1.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": 0.0, "smallest_bitstrings": ["110", "101", "011"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[1] q;
rz(2.6652466560128794) q[0];
ry(0.015534336535229091) q[0];
rz(-2.4994394359393826) q[0];
| null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) q[0];\ncry(-1.0398... | [
"IZZ",
"ZIZ",
"ZZI",
"IIZ",
"IZI",
"ZII"
] | [
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5
] | 0.999879 | [
-0.13358933430461783,
0.05925579854844312,
0.1941292476304146,
-0.0004540644499549003,
-0.07413458086647713,
0.10747849798655963
] | {
"n_parameters": 6,
"n_qubits": 1,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 1 |
e4cdc6bcf94181f6f6aa6dc310dcdb0a | 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": 8, "source": 0, "target": 1}, {"weight": 12, "source": 1, "target": 6}, {"weight": 18, "source": 1, "target": 5}, {"weight": 8, "source... | {"states": [252, 220], "expectation_value": -66.1394079075553, "params": [0.1394, 0.11960000000000001, 0.6943, 0.038700000000000005, 0.8849, 0.018000000000000002, 1.0922, -0.44060000000000005, 1.0232, -0.2472, 0.9672000000000001, -0.047, 0.9358000000000001, 0.25620000000000004, 0.1973, -0.516, 0.0466, 0.5432, 0.1479, 0... | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(6)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(5)) + 16.0 * Z(2) + 4.0 * Z(0) + 14.0 * Z(1) + 10.0 * Z(4) + 9... | 4 | 9 | 3 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.0, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 145.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.06321512412760849) q[0];
rz(1.6372468433236769) q[0];
rx(0.7739699315904423) q[1];
rz(1.5480123213631103) q[1];
rx(0.9789484960435509) q[2];
rz(1.4339472161300897) q[2];
rx(1.2176998173454103) q[3];
rz(1.2208642356705939) q[3];
rx(1.0711612765616074) q[4];
rz(1.42... | OPENQASM 3.0;
include "stdgates.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\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZZIII",
"IIZIIZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
16,
4,
14,
10,
9,
5.5,
17.5,
5,
4
] | 0.973783 | [
-0.06321512412760849,
0.0664505165287797,
0.7739699315904425,
-0.022784005431786117,
0.978948496043551,
-0.13684911066480668,
1.2176998173454103,
-0.3499320911243027,
1.0711612765616074,
-0.14212722874595163,
1.1543272280015908,
-0.09145936050844823,
0.9765552437107387,
0.11281795144568528... | {
"n_parameters": 78,
"n_qubits": 9,
"optimal_eigenvalue": -71,
"target_ratio": 0.97,
"target_value": -68.87
} | 11 |
f2eb32800910ca6de162d5705c27a6b8 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 0, "target":... | {"states": [336, 340], "expectation_value": -6.3517985099836265, "params": [-0.002, 0.0011, 0.899, 0.9008, -0.006500000000000001, -0.0057, 0.9047000000000001, 0.911, 0.0026000000000000003, -0.0056, 0.8889, 0.897, 0.0707, -0.051800000000000006, 0.8621000000000001, 0.8483, -0.0422, 0.045000000000000005, 0.7053, 0.7089000... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -7.0, "smallest_bitstrings": ["1010101110", "1010101011", "0010111011"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.24622431150055704) q[0];
rz(pi/2) q[0];
ry(1.9443095710626177) q[1];
ry(0.24750015346715568) q[2];
ry(1.17534264768118) q[3];
ry(0.13174589936617304) q[4];
ry(1.2955981588158052) q[5];
ry(0.13903715070383801) q[6];
ry(-0.4089441080658311) q[7];
ry(0.05550437403935... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIZIIIZ",
"IIIIZZIIII",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIZZIIIII",
"IZIIIIIIIZ",
"IZIIZIIIII",
"ZIIIIZIIII",
"ZIIIIIIIIZ",
"IIIIIZIIZI",
"IZIIIIIIZI",
"IIIZIIIZII",
"IZIIIIIZII",
"IIIIIIIZZI",
"IIIZIIZIII",
"IIIIIIZZII",
"IIZIIZIIII",
"ZIZIIIIIII",
"IIIIIZIIII",
"IIIIIIIIIZ"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-2,
-1.5,
-1.5,
-1.5,
-1,
-1,
-1.5,
-0.5,
-0.5
] | 0.985974 | [
0.24622431150055704,
1.9443095710626177,
0.24750015346715568,
1.17534264768118,
0.13174589936617304,
1.2955981588158052,
0.13903715070383801,
-0.4089441080658311,
0.055504374039354015,
1.630237844156561,
-0.0781694501139774,
0.4704596573043508,
-0.9363937567895728,
1.444549199786098,
0.0... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 35 |
ce32d04906c10b35aef772d26e0a291a | 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": 5, "source": 0, "target": 5}, {"capacity": 6, "source": 0, "target": 9}, {"capacity": 6, "source": 1, "target":... | {"states": [0, 256], "expectation_value": -25.04345238633095, "params": [-0.0015, 0.0098, 0.0025, 0.0067, 1.6144, 0.009300000000000001, 0.0025, 0.007200000000000001, 0.0027, 0.0076, 0.0023, 0.0097, 0.0022, 0.007, 0.0027, 0.0019, 0.0027, 0.0097, 0.0022, 0.00030000000000000003, 0.0027, 0.0082, 0.0049, 0.00960000000000000... | -1.25 * (Z(0) @ Z(6)) + -1.5 * (Z(10) @ Z(6)) + -1.5 * (Z(10) @ Z(0)) + -2.25 * (Z(5) @ Z(10)) + -2.0 * (Z(1) @ Z(5)) + 3.0 * (Z(2) @ Z(0)) + -0.75 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(6)) + -1.25 * (Z(4) @ Z(10)) + -0.5 * (Z(4)... | 3 | 11 | 1 | {"smallest_eigenvalues": [-26.0, -26.0, -26.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -25.0, "smallest_bitstrings": ["11001110111", "11011110111", "11011111111"], "largest_eigenvalue": 26.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.08610286276230583) q[0];
rz(0.025024663984201112) q[0];
rx(0.010006133710371597) q[1];
rz(0.09165310749400435) q[1];
rx(1.8925257498994459) q[2];
rz(0.008579280675736989) q[2];
rx(0.010006133710371595) q[3];
rz(-0.006211720947598032) q[3];
rx(0.026546325431169727)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIZ",
"ZIIIZIIIIII",
"ZIIIIIIIIIZ",
"ZIIIIZIIIII",
"IIIIIZIIIZI",
"IIIIIIIIZIZ",
"IIIIIZIIZII",
"IIIIIIIIZZI",
"IIIIZIIZIII",
"IIIIIZIZIII",
"IIIIIIIZIZI",
"IIIIZIZIIII",
"ZIIIIIZIIII",
"IIIIIIZZIII",
"IIIZZIIIIII",
"ZIIZIIIIIII",
"IIIZIIIIZII",
"IIIZIIIZIII",
"IIIZIIZII... | [
-1.25,
-1.5,
-1.5,
-2.25,
-2,
3,
-0.75,
-1,
-0.25,
-0.25,
-0.5,
-0.5,
-1.25,
-0.5,
-0.25,
-0.75,
-0.75,
-1.5,
-1.25,
-1.5,
-1,
-1.5,
-1.25,
-0.25,
-1,
-1.25,
-1.25,
2.25,
-0.25,
-3.5,
-1,
0,
0.5,
0,
-3,
4.25,
0.25,
0.5
] | 0.972496 | [
0.08610286276230585,
0.008650798642161749,
0.010006133710371595,
0.059167734866517496,
1.892525749899446,
-0.051947203150837035,
-0.05138715386242705,
0.026546325431169727,
0.03207408858493348,
-0.02145109338731946,
0.070994941584573,
0.039045551584475355,
-0.06497580249461249,
0.087174686... | {
"n_parameters": 26,
"n_qubits": 11,
"optimal_eigenvalue": -26,
"target_ratio": 0.97,
"target_value": -25.22
} | 3 |
de837449b9b1ac221f958aa18f8b69de | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 6, "target": 7}]} | {"states": [119, 103], "expectation_value": -5.880767401685855, "params": [[[0.0023, 2.7123], [0.0028, -0.0018000000000000002], [1.6161, 0.0026000000000000003], [1.6459000000000001, -0.0025], [-0.0029000000000000002, -0.0028], [-0.0031000000000000003, -0.0028], [0.0021000000000000003, -0.0029000000000000002]]], "bitstr... | -1.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) | 15 | 7 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["0011000"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.20454636169947982) q[0];
rz(2.8152219299414583) q[0];
rx(-0.44697682268564387) q[1];
rz(2.448194288614724) q[1];
rx(-0.06482965352697878) q[2];
rz(1.789633067939329) q[2];
rx(0.07456323353414633) q[3];
rz(2.240230974956189) q[3];
rx(0.08529955402258597) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
ry(x0) q[0];
ry(x1... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZZII",
"IZZIIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIIIZII",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
-1,
0.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5
] | 0.975716 | [
-0.20454636169947982,
1.2444256031465615,
-0.4469768226856438,
0.8773979618198277,
-0.06482965352697877,
0.21883674114443263,
0.07456323353414634,
0.6694346481612925,
0.08529955402258599,
1.0864724324281896,
-1.0194116337343637,
0.9110280395264493,
-0.32884727213360154,
-0.0769953673853635... | {
"n_parameters": 104,
"n_qubits": 7,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 107 |
501477738601b9a56009fb34d8274268 | 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": 1}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 4}, {"capaci... | {"states": [32, 31], "expectation_value": -0.7985935357729006, "params": [[0.0695, 0.0729], [-0.0558, -0.0716]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.02367420854265425, 0.023965616646450895], "optimization_time": 2.647322177886963} | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + 2.0 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) + -1.0 * Z(3) + -0.75 * Z(4) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.25, -5.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.25, "smallest_bitstrings": ["100100", "100000"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022432742226757757) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.3384255533536563) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(-0.2041040411348823) q[3];
cx q[1], q[3];
rz(1.4620623217131428) q[1];
rx(-1.1506042763506248) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIZIZI",
"IZIZII",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
-0.25,
-1.25,
-1,
-1.25,
0.5,
-0.5,
-0.5,
2,
-0.25,
0.5,
-1,
-0.75,
-0.5
] | 0.711879 | [
0.022432742226757757,
-0.3384255533536563,
-0.2041040411348823,
0.7101376461721758,
-0.6732289857497842,
1.4620623217131428,
-0.4251460208844991,
-1.1506042763506248
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 188 |
4c2eecb4ef38c9274f53d19369153e09 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [857, 854], "expectation_value": -2.4939850177755387, "params": [[[0.2503, -0.029, 0.008400000000000001, 0.0073], [0.5743, 0.2109, 0.10110000000000001, 0.06570000000000001], [0.010400000000000001, 0.1655, -0.024300000000000002, 0.055400000000000005], [0.0148, 0.22080000000000002, 0.1298, 0.2064], [0.3035, -0... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(4... | 11 | 10 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.5, "smallest_bitstrings": ["0100100110", "0001111000", "0110100100", "1010100001", "0010100101", "0010101100", "0010101001", "001010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.533022976488815) q[0];
ry(-0.08925083506567773) q[1];
rz(-pi) q[1];
h q[2];
ry(-0.07530478978329831) q[3];
rz(-pi) q[3];
h q[4];
ry(1.3881690221492953) q[4];
h q[5];
ry(1.3881690221492953) q[5];
cx q[5], q[1];
ry(-0.00936572749460804) q[1];
cx q[5], q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIIZZIZ",
"IIIIIIZZZI",
"IIIIIIZZZZ",
"IIIIZZIIII",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IIZZIIIIIZ",
"IIIZIIIIZI",
"IZIIIIIIZI",
"ZIIIIIIIZI",
"IZIZIIIIII"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
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,
0.12... | 0.996343 | [
-1.533022976488815,
-1.4710783065612079,
-1.4909112192238267,
1.3881690221492953,
-1.1234777496644068,
0.8316785114091577,
0.01873145498921608,
-0.5192846465561148,
0.42585455404254946,
-0.410278847992595,
0.4239166218143763,
-0.20527906706299706,
0.2521116831060586,
0.1237539200381207,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
c22cec1796f2f52036673550667aae4b | 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": 4, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 3}, {"weight": 14, "source": 0, "target": 2}, {"weight": 5, "source": 2, "targ... | {"states": [219, 218], "expectation_value": -30.568739663104044, "params": [[0.021400000000000002, 0.0041, -0.0097, 0.0077], [-0.0708, -0.065, -0.0443, -0.0473]], "bitstrings": ["100100100", "100100101"], "total_optimization_steps": 10, "probabilities": [0.007089125332524755, 0.009219275961220486], "optimization_time":... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-86.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 173.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022550136038931325) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022550136038931325) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022550136038931325) q[2];
cx q[0], q[2];
rz(1.5706696547603212) q[0];
rx(1.5752335318930322) q[0];
h q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IZIIZIIII",
"IIZIZIIII",
"IZZIIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
11.5,
2,
19.5,
11.5,
23.5,
17,
13.5,
3,
4.5
] | 0.798275 | [
0.022550136038931325,
-1.5647798587286847,
1.5706696547603212,
-1.5704337829937085,
-1.5705745241370213,
-1.5703057136803882,
-1.5706971062399833,
1.5706462974086588,
1.5752335318930322
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -86.5,
"target_ratio": 0.97,
"target_value": -83.905
} | 249 |
253d3995de007ce15800f0023018551d | 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": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2... | {"states": [0, 1], "expectation_value": -7.141652391359816, "params": [[[0.0034000000000000002, 0.42560000000000003], [0.0024000000000000002, 0.5774], [0.0057, 0.0854], [-0.0029000000000000002, 0.6071000000000001], [0.0026000000000000003, 0.5872], [0.0024000000000000002, 0.5784], [0.8034, -0.0037]], [[0.002900000000000... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + 1.75 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.75 * Z(6) + 1.75 * Z(3) + 1.0 * Z(4) + -0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-10.5, -10.5, -10.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110", "1110000", "1110010"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.02121917373057882) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.7085683064572578) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.06024138352319858) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.06024138352319858) 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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"ZIIIIIZ",
"IIIZIZI",
"IIIZZII",
"IIZIIZI",
"IIZZIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIIZIII",
"IIZIIII",
"IZIIIII"
] | [
-0.5,
-0.25,
-1,
1.75,
-1,
-0.5,
-0.75,
-0.75,
-0.5,
-2,
-0.25,
-1.75,
1.75,
1.75,
1,
-0.5
] | 0.970798 | [
-0.02121917373057882,
0.7085683064572578,
-0.06024138352319858,
-0.717158803780761,
-0.027419781330413187,
0.9534655477484596,
0.681696906877384,
-0.7086536622318328,
1.7659512478861448,
0.02937759427138251,
1.1009043106829477,
-0.25747217679567397,
-1.11426630721713,
0.6485468629559561,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 73 |
ed5a8546b2a681d7b80c72c39982e864 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [123, 107], "expectation_value": -55.216781891840974, "params": [0.6153000000000001, -0.3602, 1.397, -0.0009000000000000001, 1.3916000000000002, 0.2908, 0.776, 0.48050000000000004, 1.3947, 0.2179, 0.6306, 0.41350000000000003, 1.3922, 0.0466, 1.3915, -0.136, 0.6174000000000001, 0.0025, 1.3942, 0.0001, 1.3912,... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 15.5 * Z(1) + 4.5 * Z(0) + 6.0 * Z(2) + 8.5 * Z(3) + 23.... | 18 | 8 | 2 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.5, "smallest_bitstrings": ["10010100"], "largest_eigenvalue": 158.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.14470405272867432) q[0];
rz(-0.6861097474626994) q[0];
rx(1.371051400788746) q[1];
rz(-0.0333688161055849) q[1];
rx(1.5138939430978238) q[2];
rz(0.26682443139066503) q[2];
rx(0.18824148582247993) q[3];
rz(1.1695312123708956) q[3];
rx(1.529331051558129) q[4];
rz(0.3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZZII",
"IIIZIIZI",
"IIIZZIII",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
15.5,
4.5,
6,
8.5,
23.5,
7,
14.5,
13
] | 0.970276 | [
0.14470405272867432,
-0.4662461974558669,
1.371051400788746,
-0.0333688161055849,
1.5138939430978238,
0.26682443139066503,
0.18824148582247993,
1.1695312123708956,
1.529331051558129,
0.30123313838394067,
0.33719082476603657,
0.42139216186731265,
1.4969091275465576,
0.03534264640482469,
1... | {
"n_parameters": 47,
"n_qubits": 8,
"optimal_eigenvalue": -74.5,
"target_ratio": 0.97,
"target_value": -72.265
} | 15 |
1a9af805cf7f57ca2d44c009938a54aa | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 9}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6}, {"capac... | {"states": [509, 511], "expectation_value": -0.11383329269409043, "params": [[-0.059800000000000006], [0.0611]], "bitstrings": ["1000000010", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.001124266593216138, 0.0011314845185617193], "optimization_time": 2.4361140727996826} | 0.25 * (Z(0) @ Z(9)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(6) @ Z(9)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(9)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(8) @ Z(4)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1000000000", "1000000010"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.21737501334783768) q[1];
cx q[2], q[1];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[9], q[0];
rz(-0.5520984500705635) q[0];
cx q[9], q[0];
rz(0.21737501334783804) q[0];
rx(1.0970996366549022) q[0];
cx q[9], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[9], q[0];
rz(... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"ZIIIIIIIIZ",
"IIIIIIIZZI",
"ZIIZIIIIII",
"IIIZIIIZII",
"IIIZIIIIZI",
"IIIIIIZZII",
"ZIIIZIIIII",
"IIIIZIZIII",
"IIIIIZIZII",
"IIIIIZIIZI",
"IIIZIZIIII",
"IZIIIZIIII",
"IIZIIIIZII",
"IIZIIIZIII",
"ZIIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIZIIIIII",
"IIIIIIZIII"... | [
0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
0.25,
-0.5,
-0.75,
0,
1.25,
-0.25,
1
] | 0.650781 | [
-0.5520984500705635,
0.21737501334783768,
0.5253775962002157,
0.9422849881501424,
1.3477559908591945,
-1.3049361310391825,
-0.8550644224009503,
1.097099636654902
] | {
"n_parameters": 8,
"n_qubits": 10,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 208 |
ae38f088eb7d13f4a1aaeed7b82ca76a | 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": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5... | {"states": [19, 1], "expectation_value": -15.28160671909044, "params": null, "bitstrings": ["1101100", "1111110"], "total_optimization_steps": 28, "probabilities": [0.1492731531067702, 0.8377857041610112], "optimization_time": 30.87294602394104} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + -1.25 * (Z(4) @ Z(3)) + -1.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(4)) + -1.25 * (Z(1) @ Z(2)) + -1.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.25 * (Z(6) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-16.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.006377179496119643) q[0];
rz(-0.061727897011168764) q[0];
rx(0.07989972346595989) q[1];
rz(0.6688407505745477) q[1];
rx(-0.16796998349578554) q[2];
rz(-0.07201860300141405) q[2];
rx(-0.1915935582937144) q[3];
rz(-0.5729443126343039) q[3];
rx(-0.007459390818392585)... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.5708) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZIIIIZ",
"IZIZIII",
"IZZIIII",
"IIIIZZI",
"IIIZIZI",
"IIZIIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIIZIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII"
] | [
-0.25,
-0.5,
-0.5,
-0.75,
-1,
-1.25,
-1.75,
-0.5,
-0.5,
-1.75,
-1.25,
-1.75,
-0.5,
-0.25,
2.5,
-0.75,
1.25,
-0.25,
-0.75,
-0.75,
-0.5,
-0.5,
1.5
] | 0.974333 | [
-0.006377179496119642,
0.1957621554646426,
0.07989972346595989,
0.4359881860868983,
-0.1679699834957855,
-0.38497263604562815,
-0.19159355829371438,
-0.39383051225245713,
-0.007459390818392586,
0.49935880698787366,
0.050047209993752936,
0.22941381389651128,
0.9696121434380058,
0.0608901470... | {
"n_parameters": 55,
"n_qubits": 7,
"optimal_eigenvalue": -16.75,
"target_ratio": 0.97,
"target_value": -16.2475
} | 5 |
-7137806542513040045 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2], [1, 3, 4, 5, 7], [1, 6]]} | {"states": [121, 124], "expectation_value": -0.8731688611210697, "params": null, "bitstrings": ["10000110", "10000011"], "total_optimization_steps": 58, "probabilities": [0.08224169747651591, 0.10736799407622227], "optimization_time": 81.22189474105835} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(4) @ Z(1)) + 0.05 * (Z(4) @ Z(3)) + 0.05 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(4)) + 0.05 * (Z(7) @ Z(1)) + 0.05 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(4)) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.30143180987773677) q[0];
h q[1];
ry(1.41507828412027) q[1];
h q[2];
cx q[2], q[0];
ry(0.30143180987773677) q[0];
cx q[2], q[0];
ry(-0.08529949023517137) q[2];
cx q[0], q[2];
ry(0.08529949023517137) q[2];
cx q[0], q[2];
ry(-0.22236894463345272) q[0];
ry(0.5... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.0792) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIZIIII",
"ZIZIIIII",
"IZIIIIZI",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.5,
0.2666666666666666,
0.16666666666666666,
0.16666666666666666,
0.1,
0.1,
0.1,
0.1,
0
] | 0.972708 | [
1.41507828412027,
-1.2308196680957544,
0.04902357682142916,
-0.6028636197554735,
-0.10045785547488968,
-0.27725493501962056,
-0.17059898047034275,
0.1729715008976665,
0.4179479843263121,
0.5093381688909204,
0.21735364528295054,
0.1313607157605306,
0.5872859374418793,
0.16773130976520473,
... | {
"n_parameters": 56,
"n_qubits": 8,
"optimal_eigenvalue": -1.0333333333333332,
"target_ratio": 0.97,
"target_value": -1.0023333333333333
} | 14 |
8554055210384227088 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 8, 6, 7], [0, 1, 6, 7], [0, 1, 2, 6], [2, 3, 6, 7, 8, 9], [1, 2, 3, 4, 5, 7], [0, 1, 3, 4, 5, 6], [8, 3, 4, 7], [1, 3, 5, 8, 9], [1, 3, 4, 5, 8], [1, 2, 4, 6, 8], [0, 4, 5, 6, 8], [0, 2, 3, 6], [0, 5, 6, 7], [2, 4, 7, 8, 9], [1, 2, 3, 6], [0, 2, 5, 7, 8], [3,... | {"states": [990, 982], "expectation_value": -2.5575205998599513, "params": [2.4416, 0.0064, 2.6132, 0.004200000000000001, 1.9665000000000001, 0.0017000000000000001, 2.472, 0.0041, 1.5599, 0.0019, 1.5807, 0.0098, 1.5676, 0.0061, 2.6218, 0.0081, 2.6291, 0.0005, 1.5581, 0.0097, 0.0085, 0.003, 0.0061, 0.0045000000000000005... | 0.18333333333333335 * (Z(0) @ Z(8)) + 0.25 * (Z(6) @ Z(8)) + 0.49999999999999994 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(7) @ Z(8)) + 0.4666666666666667 * (Z(7) @ Z(0)) + 0.31666666666666665 * (Z(7) @ Z(6)) + 0.15000000000000002 * (Z(1) @ Z(8)) + 0.19999999999999998 * (Z(1) @ Z(0)) + 0.3333333333333333 * (Z(1) @ Z(6)... | 16 | 10 | 1 | {"smallest_eigenvalues": [-3.850000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.800000000000001, "smallest_bitstrings": ["0000101001"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(2.9797512917463687) q[0];
rz(0.010279107172729063) q[0];
rx(3.313206079467277) q[1];
rz(0.18307245091798258) q[1];
cx q[1], q[0];
rz(-0.3349880026582439) q[0];
cx q[1], q[0];
rz(0.07295915476813442) q[1];
rx(3.0501734482857827) q[2];
rz(-1.1942229042270043) q[2];
rx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIIIIIIIZ",
"IZIZIIIIII",
"IIIZIIIIIZ",
"IZZIIIIIII",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IZIIIIIIZI",
"IIIIIIIIZZ",
"IIIZIIIIZI",
"IIZIIIIIZI",
"IZIIIIIZII",
"IIIIIIIZIZ",
"IIIZIIIZII",
"IIZIIIIZII",
"IIIIIIIZZI",
"IZIIIIZIII",
"IIIIIIZIIZ",
"IIIZIIZIII",
"IIZIIIZIII",
"IIIIIIZIZI"... | [
0.18333333333333335,
0.25,
0.49999999999999994,
0.3333333333333333,
0.4666666666666667,
0.31666666666666665,
0.15000000000000002,
0.19999999999999998,
0.3333333333333333,
0.11666666666666667,
0.18333333333333335,
0.21666666666666667,
0.3333333333333333,
0.16666666666666669,
0.25,
0.25,... | 0.974468 | [
2.9797512917463687,
-0.3247088954855145,
3.313206079467277,
0.18307245091798258,
3.0501734482857827,
-1.2764769198476578,
3.609772807470233,
1.2180740795379152,
-0.17418394815768384,
-0.1486473205952767,
3.714705820970129,
0.09098665715124869,
-0.1769773660576248,
-1.5405923120281446,
3.... | {
"n_parameters": 29,
"n_qubits": 10,
"optimal_eigenvalue": -3.850000000000001,
"target_ratio": 0.97,
"target_value": -3.734500000000001
} | 34 |
d2e3f71e5c020057da0dd1812bdf6517 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [48855, 57015], "expectation_value": -11.655666970124445, "params": [[0.11860000000000001, 0.1254, 0.0969], [-0.09230000000000001, -0.13470000000000001, -0.16290000000000002]], "bitstrings": ["0100000100101000", "0010000101001000"], "total_optimization_steps": 20, "probabilities": [0.001356338253930005, 0.00... | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) ... | 1 | 16 | 3 | {"smallest_eigenvalues": [-15.999999999999975], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.999999999999936, "smallest_bitstrings": ["0010000101001000"], "largest_eigenvalue": 56.000000000000135} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(1.1661276350304126) q[0];
rz(0.1368317091350482) q[0];
ry(0.04120953092979138) q[1];
rz(0.6237278116787298) q[1];
cz q[1], q[0];
ry(0.8639209804903288) q[0];
rz(-0.20514548926058004) q[0];
ry(0.1701074616062198) q[1];
ry(0.11262869094573309) q[2];
rz(0.3181473576708... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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]... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 0}, {"source": 3, "target": 2}, {"source": 3, "target": 0}, {"source": 2, "target": 0}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZZIIIIII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIZZIIII",
"IIIIIII... | [
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,
0.5,
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... | 0.975208 | [
1.1661276350304126,
0.1368317091350482,
0.04120953092979138,
0.6237278116787298,
0.11262869094573309,
0.3181473576708103,
0.734978694415438,
-0.2651028550205645,
-0.11298443044296277,
-0.5003240831397697,
0.31670140934387114,
0.2559084340847741,
0.0720191758938528,
0.2177008887266607,
0.... | {
"n_parameters": 181,
"n_qubits": 16,
"optimal_eigenvalue": -13.999999999999932,
"target_ratio": 0.97,
"target_value": -13.579999999999934
} | 75 |
9148efbb5d186a795b2c7ee7389c620b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 0, "target": 3}, {"source": 1, "target":... | {"states": [297, 361], "expectation_value": -4.781163127987598, "params": [[0.0038, 1.3980000000000001, 0.0011, 0.8386, 0.8598, -0.007200000000000001, 1.4039000000000001, -0.0089, 0.0031000000000000003, 1.4086], [0.0013000000000000002, 1.3989, 0.0046, 1.4104, 1.4021000000000001, 0.187, 1.4043, 0.19140000000000001, 0.00... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(2)) + -0.5 * Z(4) + -1.5 * Z(0) + -0.5 * Z(7) + -1.5 * Z(8) + 0.0 * Z(3) + -0.5 * Z(... | 10 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.5, "smallest_bitstrings": ["1000011011", "1100001011", "1010010110", "1110000011", "1010110100", "1010110001", "1110000110", "1010010011"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.023660573392874272) q[0];
ry(1.5207302663665478) q[1];
ry(0.13562897307901248) q[2];
ry(0.2219747781434831) q[3];
ry(0.8682409869974953) q[4];
ry(0.06285469255566817) q[5];
ry(1.5596675576966939) q[6];
ry(0.126724326029512) q[7];
ry(-0.012790402180123304) q[8];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIIZ",
"IIZIIIIIIZ",
"IZIIIZIIII",
"IZIIIIIIIZ",
"IIIIIIZIIZ",
"IZIIZIIIII",
"IIIIZIIIZI",
"IZIIIIIZII",
"IIIZIIIZII",
"ZIZIIIIIII",
"ZIIIIIIZII",
"IIIIIZIIII",
"IIIIIIIIIZ",
"IIZIIIIIII",
"IZIIIIIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIZIIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-0.5,
-1.5,
0,
-0.5,
0,
-1,
0,
-0.5
] | 0.973222 | [
0.023660573392874272,
1.5207302663665478,
0.13562897307901248,
0.2219747781434831,
0.8682409869974953,
0.06285469255566817,
1.5596675576966939,
0.126724326029512,
-0.012790402180123304,
1.2692908510272967,
-0.20608071550268975,
1.7236122379081966,
0.08052569744984328,
2.6808365129334555,
... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 16 |
20a8103f07dd8a24047f028e6edcf2b9 | 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": 8, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 14, "source": 1, "target": 3}, {"weight": 14, "source": 1, "target": 4}, {... | {"states": [107, 122], "expectation_value": -41.39690867715534, "params": null, "bitstrings": ["10010100", "10000101"], "total_optimization_steps": 100, "probabilities": [0.12014193001474291, 0.194657655874236], "optimization_time": 164.30495357513428} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-67.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 161.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.2272642165478831) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.2272642165478831) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.2272642165478831) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(-0.2272642165478831) q[3];
cx q[2], q[3]... | null | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(0.1246) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIZII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11.5,
12,
15,
19,
15.5,
6,
13.5,
9
] | 0.977575 | [
-0.2272642165478831,
0.24690528235963702,
-1.616083881978433,
0.017740733314421664,
-0.14747982232849638,
0.3724409492159851,
-0.3700067438537054,
-0.3747534950486415,
-1.2525943523608623,
0.1296028652764544,
0.2611058491705527,
0.6338612826613662,
0.30862829146170234,
0.9608679921026143,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -67.5,
"target_ratio": 0.97,
"target_value": -65.475
} | 95 |
8782754471923327957 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 6], [0, 5], [1, 5], [2, 3, 6], [0, 3], [5, 6], [8, 4, 5, 7], [0, 1, 6, 7]]} | {"states": [502, 470], "expectation_value": 0.10465624594380636, "params": [0.7076, -0.0019, 0.7016, 0.0083, 0.6997, -0.0017000000000000001, 0.6993, 0.00030000000000000003, 0.7087, -0.0011, 0.7019000000000001, 0.0041, 0.7077, 0.0014, 0.7000000000000001, 0.004, 0.7020000000000001, -0.003, 0.7019000000000001, 0.0092, 0.7... | 0.5 * (Z(8) @ Z(6)) + 0.08333333333333333 * (Z(0) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(6)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.5 ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-3.0000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8333333333333344, "smallest_bitstrings": ["000101001"], "largest_eigenvalue": 5.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.5274578588025267) q[0];
rz(1.426293753189988) q[0];
rx(1.8070132032197999) q[1];
rz(1.435574575907502) q[1];
rx(1.80332483266316) q[2];
rz(1.7006139643609135) q[2];
rx(0.5604531563301115) q[3];
rz(1.6730510606779374) q[3];
rx(1.3118328194469298) q[4];
rz(1.38234926... | OPENQASM 3.0;
include "stdgates.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": []} | [
"ZIZIIIIII",
"IIZIIIIIZ",
"IIZZIIIII",
"ZIIZIIIII",
"IIIZIIIIZ",
"IIZIIIIZI",
"IIIIIIIZZ",
"IIIZIIIZI",
"IIZIIIZII",
"IIZIIZIII",
"IIIIIZIIZ",
"IIIIIZZII",
"ZIIIZIIII",
"IIIZZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IZIIIIIIZ",
"IZIZIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"IIZIIIIII",
"... | [
0.5,
0.08333333333333333,
0.5,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.083... | 0.972856 | [
1.5274578588025267,
-0.14450257360490842,
1.8070132032197999,
-0.13522175088739413,
1.8033248326631597,
0.1298176375660168,
0.5604531563301115,
0.10225473388304085,
1.3118328194469298,
-0.18844705818179897,
0.469653453386988,
-0.04170692831137457,
1.7739473492074664,
-0.03220895360554993,
... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -3.0000000000000004,
"target_ratio": 0.97,
"target_value": -2.91
} | 105 |
-4212810496543102825 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2], [1, 5], [1, 3], [4, 5]]} | {"states": [37, 50], "expectation_value": -0.052847949936713406, "params": [[-0.0845], [0.07980000000000001]], "bitstrings": ["011010", "001101"], "total_optimization_steps": 10, "probabilities": [0.01732622962945196, 0.01732622962945196], "optimization_time": 0.3787689208984375} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0, "smallest_bitstrings": ["110010", "001101", "011010", "100101"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-1.0471975575762202) q[0];
cx q[2], q[0];
rz(-1.926944115382412e-08) q[0];
rx(0.785398177000778) q[0];
rz(-1.926944115382412e-08) q[2];
rx(0.785398177000778) q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(-1.0471975575762202) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[5], q[4];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"ZIIIZI",
"IIZIZI",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.649519 | [
-1.0471975575762202,
-1.9269441291875798e-8,
0.7853981770007781
] | {
"n_parameters": 3,
"n_qubits": 6,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 104 |
b426b8aff164c6823b185eb6b091738d | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [52, 28], "expectation_value": -3.499900324058672, "params": null, "bitstrings": ["001011", "100011"], "total_optimization_steps": 26, "probabilities": [1.718749846806863e-05, 0.999950071326692], "optimization_time": 13.991117238998413} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(5) + -1.0 * Z(4) + -0.5 * Z(3) | 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[7] q;
ry(3.146586182667847) q[0];
rz(-0.4960671937553839) q[0];
ry(-0.1292922814490114) q[1];
rz(-0.6985758714498361) q[1];
cz q[1], q[0];
ry(0.043070532367504924) q[1];
ry(-0.04475695876475132) q[2];
rz(0.6631600359423698) q[2];
ry(0.5756435583956447) q[3];
rz(-0.14283149628... | 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[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"ZIIIZI",
"IZIZII",
"ZZIIII",
"ZIZIII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII",
"IZIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-1,
-1,
-0.5
] | 0.988667 | [
3.146586182667847,
-0.4960671937553839,
-0.1292922814490114,
-0.6985758714498361,
-0.04475695876475132,
0.6631600359423698,
0.5756435583956447,
-0.14283149628386937,
0.09442180069266345,
2.7246196860446945,
0.021535266183752462,
3.2207334379454498,
-1.152313102082496,
-0.5291711248863585,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 27 |
135981e0ed720862b340e5f4f8aff5ed | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [1020, 1023], "expectation_value": -12.915217045309504, "params": [[[-0.0025, 1.7054], [-0.0016, -0.0026000000000000003], [-0.0016, 0.0017000000000000001], [-0.0021000000000000003, -0.0022], [-0.0023, 0.002], [-0.0027, -0.0025], [-0.0027, -0.0029000000000000002], [0.0017000000000000001, -0.002600000000000000... | -2.0 * (Z(0) @ Z(3)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + -1.0 * (Z(8) @ Z(9)) + 0.5 * Z(3) + 0.5 * Z(0) + ... | 15 | 10 | 1 | {"smallest_eigenvalues": [-16.5, -16.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -15.5, "smallest_bitstrings": ["0000001100", "0000000000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.07291490116812199) q[0];
ry(0.014682680548490042) q[1];
ry(0.014682680548490042) q[2];
ry(-0.10343246341488556) q[3];
ry(-0.015104888876729373) q[4];
ry(0.07576867434603778) q[5];
ry(0.07576867434603778) q[6];
ry(-0.0018395314264746509) q[7];
ry(-0.053227041417630... | OPENQASM 3.0;
include "stdgates.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[10] c;
qubit[10... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIIIZIIZI",
"IIIIZIZIII",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIIZIIIZI",
"IIIIIIZZII",
"IIIIIIIZIZ",
"IIIIIZIZII",
"IIZZIIIIII",
"ZZIIIIIIII",
"IIIIIIZIII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIIIZI",
"IIIIZIIIII",
"IIIIIIIZII",
"IIZIIIIIII"... | [
-2,
-2.5,
-2,
0.5,
0.5,
0.5,
-2.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5
] | 0.975435 | [
0.07291490116812199,
0.014682680548490042,
-0.10343246341488556,
-0.015104888876729373,
0.07576867434603778,
-0.0018395314264746509,
-0.05322704141763038,
0.034397150838764066,
3.0526644752825667,
-0.038277130106370745,
0.13943469979012124,
-0.22904656158492104,
0.6400330578271586
] | {
"n_parameters": 13,
"n_qubits": 10,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 33 |
4e25283e9474f6784f895048b0f76821 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7}, {"source": 6, "target":... | {"states": [511, 495], "expectation_value": -0.5052945931616997, "params": [[0.0634], [-0.0505]], "bitstrings": ["000000000", "000010000"], "total_optimization_steps": 10, "probabilities": [0.002467436363846437, 0.0024992015561551887], "optimization_time": 3.101848840713501} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(4) | 1 | 9 | 1 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["000010000"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.09941242281479518) q[0];
rz(1.4120041651961488) q[0];
rx(1.4286999076061657) q[1];
rz(1.8528053410806313) q[1];
rx(1.4802804528324323) q[2];
rz(1.6888909659378797) q[2];
rx(2.861475082999946) q[3];
rz(1.78744607668321) q[3];
rx(-0.035088910473322826) q[4];
rz(1.802... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x0) q[2... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIZZIIIII",
"ZIZIIIIII",
"ZIIZIIIII",
"IZZIIIIII",
"IZIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIZIIIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIZIIII"
] | [
-1,
-1,
-2,
1,
-2,
-2,
1,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.979411 | [
0.09941242281479518,
-0.15879216159874754,
1.428699907606166,
0.28200901428573477,
1.480280452832432,
0.11809463914298299,
2.861475082999946,
0.2166497498883136,
-0.035088910473322826,
0.23163428489808036,
0.03234862624786709,
0.14271488603506838,
-0.20441752856421946,
0.9737783591626613,
... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 12 |
5144181ac27497fdfa9bdb5b8b799630 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}]} | {"states": [245, 413], "expectation_value": -1.4556426150120323, "params": [[-0.0847, -0.0867, -0.079], [0.0791, 0.0806, 0.0753]], "bitstrings": ["100001010", "001100010"], "total_optimization_steps": 10, "probabilities": [0.004685058867129511, 0.004685058867129511], "optimization_time": 8.691834449768066} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -3.5, "smallest_bitstrings": ["001010100", "001100010", "001001010", "001001100", "010001100", "010010100", "010010001", "010100001", "100100001", "100001010",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[2] q;
h q[0];
ry(-1.5486225528998339) q[0];
h q[1];
ry(-1.5451929801415893) q[1];
| OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIZIIIIIZ",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIZIIZIII",
"IZIIZIIII",
"IIIIZZIII",
"ZIIZIIIII",
"IIIZIZIII",
"IIIZZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"... | [
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,
0.75,
0.75,
0.75,
1,
1,
1,
0.75,
0.75,
0.75
] | 0.999809 | [
-1.5486225528998339,
-1.5451929801415893
] | {
"n_parameters": 2,
"n_qubits": 2,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 1 |
ee67fff6a5de964979ae5b7dd3211ad6 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [359, 327], "expectation_value": -50.10412962373543, "params": [1.278, 0.0048000000000000004, 2.2062, 0.0097, 0.0031000000000000003, 0.0004, 2.2057, 0.0046, 1.524, 0.0006000000000000001, 0.5337000000000001, 0.0086, 0.1791, 0.0038, 2.1949, 0.0037, 2.2053000000000003, 0.0063, 2.2071, 0.0067, 0.0032, 0.0032, 0.... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(6) @ Z(3)) + 6.5 * (Z(9) @ Z(4)) + 6.5 * (Z(7) @ Z(9)) + 6.5 * (Z(5) @ Z(7)) + 6.5 * (Z(8) @ Z(0)) + 6.5 * (Z(8) @ Z(9)) + 6.5 * (Z(8) @ Z(7)) + 6.0 * Z(1) + 2.0 * Z(0) + -5.5 * Z(2) + 9.5 * Z(3) + 3.5 * Z(4) + -2.5 * Z(6) + 13.5 * Z(9) + 14.0 *... | 18 | 10 | 1 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.0, "smallest_bitstrings": ["1010111000"], "largest_eigenvalue": 120.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.18537532581714744) q[0];
rz(0.08001645016356917) q[0];
rx(3.055303664384416) q[1];
rz(-0.3104794526148841) q[1];
rx(-0.06570358683791763) q[2];
rz(-0.5158729776882064) q[2];
rx(3.0604063594024646) q[3];
rz(0.21567509386616895) q[3];
rx(0.5566841210546061) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIZZIII",
"IIIZIIZIII",
"ZIIIIZIIII",
"ZIZIIIIIII",
"IIZIZIIIII",
"IZIIIIIIIZ",
"ZZIIIIIIII",
"IZZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIZIIIIII",
"ZIIIIIIIII",
"IIZIIIIIII",
"IIIIZIIIII",
"IZIIIIIIII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6,
2,
-5.5,
9.5,
3.5,
-2.5,
13.5,
14,
-1.5,
16
] | 0.974323 | [
0.1853753258171474,
-0.008755473109286316,
3.055303664384416,
-0.3104794526148841,
-0.06570358683791763,
-0.5158729776882064,
3.0604063594024646,
0.21567509386616895,
0.5566841210546061,
-0.07564705007315817,
0.257814055414464,
0.16835845933149343,
-0.010312970061103655,
-0.016693968732075... | {
"n_parameters": 29,
"n_qubits": 10,
"optimal_eigenvalue": -89,
"target_ratio": 0.97,
"target_value": -86.33
} | 16 |
-7363615039299069295 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 3, 5], [2, 3], [4, 7], [1, 6]]} | {"states": [81, 85], "expectation_value": -1.6491800989279575, "params": null, "bitstrings": ["10101110", "10101010"], "total_optimization_steps": 60, "probabilities": [0.23405768315952957, 0.30766754279757835], "optimization_time": 81.42897605895996} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.125 * Z(1) + 0.125 * Z(0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["01100001", "00010011", "00100111", "10101010", "00011010", "00101110", "01101000", "10100011"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.16903440764572014) q[0];
h q[1];
h q[2];
ry(-0.2199778473884112) q[2];
h q[3];
cx q[3], q[2];
ry(0.2199778473884112) q[2];
cx q[3], q[2];
ry(-1.0631068286982397) q[2];
ry(1.3843870958615268) q[3];
h q[4];
ry(-0.2199778473884112) q[4];
h q[5];
cx q[5], q[0]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[7], 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] = me... | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIZIII",
"IIIIZZII",
"ZIIZIIII",
"IZIIIIZI",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IIIIIZII",
"ZIIIIIII",
"IIIZIIII",
"IZIIIIII"
] | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0,
0,
0,
0
] | 0.972274 | [
-0.4399556947768224,
1.3843870958615268,
-0.8424013158742145,
1.094485086872638,
0.973526535158274,
-0.7339893943006436,
0.19822060247155449,
-0.3402354520146708,
0.35784194398561053,
0.19577050369128826,
-0.2154000165303842,
-0.3116986886260929,
-0.4414110256480504,
0.2000694603809115,
... | {
"n_parameters": 54,
"n_qubits": 8,
"optimal_eigenvalue": -1.75,
"target_ratio": 0.97,
"target_value": -1.6975
} | 23 |
fc2f0a4c3643dbb6da990e12e2623ef0 | 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": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target... | {"states": [21930, 43605], "expectation_value": -0.1246045598948387, "params": [[-0.1882], [0.18130000000000002]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 20, "probabilities": [2.4830246369746572e-05, 2.4830246369746572e-05], "optimization_time": 17.666680335998535} | 0.25 * (Z(0) @ Z(1)) + 0.00010330578512396695 * (Z(2) @ Z(0)) + 0.00010330578512396695 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0009297520661157026 * (Z(4) @ Z(0)) + -0.0007231404958677687 * (Z(4) @ Z(2)) + -0.0009297520661157026 * (Z(5) @ Z(1)) + -0.0007231404958677687 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0149793388429345], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0149793388428887, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.013119834710737} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.5466581218843702) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.018623045575350147) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.018623045575350147) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-1.5466581218843702) q[3];
cx q[2], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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]... | {"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,
0.00010330578512396695,
0.00010330578512396695,
0.25,
-0.0009297520661157026,
-0.0007231404958677687,
-0.0009297520661157026,
-0.0007231404958677687,
0.25,
0.0002066115702479339,
-0.0007231404958677687,
-0.0003099173553719008,
0.0002066115702479339,
-0.0007231404958677687,
-0.00030... | 0.978894 | [
-1.5466581218843702,
0.018623045575350147,
0.0007536086721090865,
0.007596269028425272,
-0.06264642526214008,
-0.11762732008265617,
0.007328598337774805,
-0.2063783835814635,
0.7984237368227118
] | {
"n_parameters": 9,
"n_qubits": 16,
"optimal_eigenvalue": -2.0149793388429345,
"target_ratio": 0.97,
"target_value": -1.9545299586776463
} | 31 |
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": 22.36346983909607} | 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 | 3 | {"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 |
0963943ecfb82868686868de206d3c2c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}]} | {"states": [5, 13], "expectation_value": -0.23702700220453207, "params": [[0.043500000000000004, 0.0606, 0.0507, 0.061500000000000006], [-0.0132, -0.0458, -0.0427, -0.0487]], "bitstrings": ["11010", "10010"], "total_optimization_steps": 10, "probabilities": [0.03926570308652505, 0.04436736641418713], "optimization_time... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + 0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(3) + -0.25 * Z(4) + 0.5 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["10010"], "largest_eigenvalue": 3.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.4948710520914895) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.4948710520914895) q[3];
cx q[0], q[3];
rz(-0.4948710520914896) q[3];
rx(-1.058874037423115) q[3];
h q[4];
cx q[1], q[4];
rz(0.2625528553115834) q[4];
cx q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
-0.25,
-0.25,
-0.5,
0.75,
-0.5,
0.25,
-0.25,
-0.25,
-0.25,
0.5
] | 0.618491 | [
-0.4948710520914895,
0.2625528553115834,
1.6007806305011483,
1.859838942507385,
1.4865699529568797,
-1.0588740374231147,
-0.22546151729226455,
0.8787999957155911,
3.678727237984558,
1.550791867295464,
1.2526545709057826,
-0.6302460970158399
] | {
"n_parameters": 12,
"n_qubits": 5,
"optimal_eigenvalue": -2.75,
"target_ratio": 0.97,
"target_value": -2.6675
} | 418 |
-1706464576773782584 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 5], [0, 5], [3, 5], [1, 2], [0, 2], [0, 1], [2, 4], [1, 3], [3, 4]]} | {"states": [19, 44], "expectation_value": -0.0975834237231752, "params": [[-0.0724], [0.077]], "bitstrings": ["101100", "010011"], "total_optimization_steps": 10, "probabilities": [0.017387479586033244, 0.017387479586033244], "optimization_time": 0.5004324913024902} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["010011", "001101", "101100", "110010"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.41278604749500547) q[0];
h q[1];
ry(-0.24170380449707596) q[1];
h q[2];
ry(0.7326924387187849) q[2];
h q[3];
h q[4];
ry(-0.24170380449707596) q[4];
cx q[3], q[4];
ry(0.24170380449707596) q[4];
cx q[3], q[4];
ry(-0.5543612884001051) q[4];
ry(1.4362161185912... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[5], q[3];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"ZIIIZI",
"ZIIIIZ",
"IIIIZZ",
"ZIZIII",
"IIZIZI",
"IIIZZI",
"IIIZIZ",
"IZZIII",
"IZIZII",
"ZIIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.978964 | [
-0.4834076089941519,
1.4362161185912,
1.4653848774375697,
-1.1087225768002102,
-1.052918213170607,
0.12115604557122409,
-0.8255720949900109,
0.8373544502781719,
-0.6265289457766232,
0.2612042846734979,
-0.585937880611082,
0.060511574974787166,
-0.5290917783172623,
0.5190291153468767,
-0.... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 11 |
-3777179041850289675 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2, 6], [0, 4, 5, 7, 8], [8, 1, 5, 7], [0, 1, 3], [0, 2, 7], [2, 3], [6, 7], [0, 3, 6], [3, 5], [8, 1, 5, 0], [8, 0, 3], [0, 1, 4, 6], [0, 1, 2, 5], [8, 0, 6], [8, 1, 2, 5]]} | {"states": [333, 349], "expectation_value": -1.6428453903558153, "params": [[-0.2538], [0.2604]], "bitstrings": ["010110010", "010100010"], "total_optimization_steps": 30, "probabilities": [0.006515598707197109, 0.006600901391128488], "optimization_time": 5.577516317367554} | 0.3333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.41666666666666663 * (Z(0) @ Z(1)) + 0.41666666666666663 * (Z(0) @ Z(6)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(6)) + 0.13333333333333333 * (Z(4) @ Z(0)) + 0.1666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.200000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.116666666666667, "smallest_bitstrings": ["010100010"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.010601143109610571) q[1];
cx q[2], q[1];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(-0.0011898082924529194) q[6];
cx q[2], q[6];
cx q[1], q[6];
cx q[2], q[0];
rz(0.011992447407230955) q[0];
cx q[2], q[0];
cx q[2], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIZIIIZII",
"IIZIIIIZI",
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIZIIIIIZ",
"IIIIZIIZI",
"IIZIZIIII",
"IIIIZIIIZ",
"IIIZIIZII",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZZIIII",
"IZIIIIZII",
"IZIIIIIZI",
"IZZIIIIII",
"IZIIIIIIZ",
"IZIIZIIII",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIIIIIZI",
"... | [
0.3333333333333333,
0.16666666666666666,
0.25,
0.25,
0.41666666666666663,
0.41666666666666663,
0.08333333333333333,
0.08333333333333333,
0.13333333333333333,
0.16666666666666666,
0.3333333333333333,
0.21666666666666667,
0.05,
0.16666666666666666,
0.08333333333333333,
0.5,
0.216666666... | 0.745624 | [
-0.010601143109610571,
-0.0011898082924529194,
0.011992447407230955,
-0.0007450370827082549,
-0.0008459161145294445,
-0.0005498123017662605,
0.0022836721277199818,
-0.0002435464113065272,
-0.3654223636760503,
-0.0005477749805932045,
-0.0052054771140693104,
1.2594243648061485,
-1.571727030095... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -4.200000000000001,
"target_ratio": 0.97,
"target_value": -4.074000000000001
} | 500 |
73756a37c91cab93072716a079a9ec85 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [965, 709], "expectation_value": -91.61090091466212, "params": [[[0.3002, 0.0048000000000000004], [0.3511, -0.0002], [0.7441, 0.0018000000000000002], [0.6001000000000001, 0.0045000000000000005], [0.036500000000000005, 0.0037], [0.0004, 0.0024000000000000002], [0.0167, -0.0264], [-0.10690000000000001, 0.126],... | 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(6) @ Z(0)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(9) @ Z(1)) + 6.5 * (Z(9) @ Z(7)) + 6.5 * (Z(9) @ Z(8)) + 12.0 * Z(2) + 9.5 * Z(1) + 19.5 * ... | 15 | 10 | 4 | {"smallest_eigenvalues": [-104.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -88.5, "smallest_bitstrings": ["0100111010"], "largest_eigenvalue": 192.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.22557202561269035) q[0];
ry(0.2397156239115318) q[1];
ry(0.7533855710082193) q[2];
ry(0.6538267368053147) q[3];
ry(-0.047921945380840256) q[4];
ry(-0.08118506888624025) q[5];
ry(-0.09070976086967535) q[6];
ry(0.04466857113066163) q[7];
ry(0.521274242906632) 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], \"right_nodes\": [7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IZIIIIZIII",
"IZZIIIIIII",
"ZIIIIIIIZI",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIZIIIIII",
"IIZIIIIIII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
12,
9.5,
19.5,
3,
10,
0.5,
18.5,
11.5,
13.5,
-10
] | 0.972054 | [
0.22557202561269035,
0.2397156239115318,
0.7533855710082193,
0.6538267368053147,
-0.047921945380840256,
-0.08118506888624025,
-0.09070976086967535,
0.04466857113066163,
0.521274242906632,
0.17048489783041768,
-0.08071669957964883,
0.003373428215761738,
-0.0482806608566713,
-0.0307326814741... | {
"n_parameters": 79,
"n_qubits": 10,
"optimal_eigenvalue": -104.5,
"target_ratio": 0.97,
"target_value": -101.365
} | 45 |
84dcff3fa5f1cb1271083d4a9838c54d | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 9}, {"capacity": 1, "source": 1, "target": 3}, {"capac... | {"states": [512, 511], "expectation_value": -26.71894778351877, "params": [[[0.0033, -0.4263], [0.0009000000000000001, 0.0037], [0.0024000000000000002, -0.0011], [0.0005, -0.0027], [0.0043, 0.0021000000000000003], [0.0064, -0.0024000000000000002], [0.0023, 0.003], [-0.002, -0.001], [0.5031, -1.0832000000000002], [0.012... | -0.5 * (Z(0) @ Z(4)) + 0.75 * (Z(9) @ Z(0)) + -1.0 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(9)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + -1.25 * (Z(7) @ Z(4)) + -1.5 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(2)) + -0.25 * (Z(8) @ Z(9)) + -1.0 * (Z(8) @ Z... | 15 | 10 | 4 | {"smallest_eigenvalues": [-27.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.25, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 33.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.036300144146453314) q[0];
ry(-0.11878507877077266) q[1];
ry(0.07339691017701472) q[2];
ry(0.003650483275460536) q[3];
ry(-0.025493564627481487) q[4];
ry(0.046987841143816454) q[5];
ry(-0.052458305032921676) q[6];
ry(0.08309571097428758) q[7];
ry(0.56693142890828)... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIZIIIZ",
"ZIIIIIIIIZ",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIIIIZIZI",
"IIIIIZIZII",
"ZIIIIIIZII",
"IIIIIIIZZI",
"IIIIIIZZII",
"IIZIIZIIII",
"IIZIIIIIZI",
"IIZIIIIZII",
"ZZIIIIIIII",
"IZIIIIZIII",
"IZIIIIIZII",
"IZZIIIIIII",
"IIIIZZIIII",
"ZIIIZIIIII",
"IIIIZIZIII",
"IIZIZIIIII"... | [
-0.5,
0.75,
-1,
-0.75,
-1.5,
-1.5,
-1.25,
-1,
-0.5,
-1.25,
-1.5,
-0.75,
-0.25,
-1,
-1,
-2,
-1.25,
-1.5,
-1.5,
-1.5,
-1,
-0.75,
-2.5,
-1.25,
-0.75,
-0.25,
-2.25,
-4.25,
0.25,
4.5,
4.5,
-1.5,
-2.25,
2
] | 0.972108 | [
-0.036300144146453314,
-0.11878507877077266,
0.07339691017701472,
0.003650483275460536,
-0.025493564627481487,
0.046987841143816454,
-0.052458305032921676,
0.08309571097428758,
0.56693142890828,
0.1658463252630693,
-0.3614112259060726,
0.01606036561630311,
-0.000683589184585805,
-0.0462881... | {
"n_parameters": 62,
"n_qubits": 10,
"optimal_eigenvalue": -27.25,
"target_ratio": 0.97,
"target_value": -26.4325
} | 48 |
6206337d7d1967e1d98c4b708b2f9aeb | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [41, 44], "expectation_value": -5.499937482943579, "params": null, "bitstrings": ["010110", "010011"], "total_optimization_steps": 28, "probabilities": [1.6356545604728183e-05, 0.9999687420766158], "optimization_time": 26.598191022872925} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -2.0 * Z(1) + -1.0 * Z(0) + -2.0 * Z(4) + -1.5 * Z(5) + -0.5 * Z(2) + -1.0 * Z... | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["010011"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-3.104597454054124) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.53500557433382) q[1];
h q[2];
ry(1.4439796999895051) q[2];
cx q[2], q[0];
ry(-0.09228340053169692) q[0];
cx q[2], q[0];
ry(0.12874566237956261) q[2];
h q[3];
ry(1.4415177267275305) q[3];
h q[4];
ry(-1.535005574333... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IZIIZI",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZZIIII",
"IIIZZI",
"IZIZII",
"IIZIZI",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-2,
-1.5,
-0.5,
-1
] | 0.993942 | [
-1.53500557433382,
-1.4376074027751256,
1.4439796999895051,
1.4415177267275305,
0.0014514087102965867,
0.18456680106339385,
0.15085650241299106,
0.25749132475912523,
-0.0014710015415432699,
-0.07056259980137612,
0.21107059744399434,
-0.014355156257897916
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
347cd23786ada5a7ec96f3799dd0d8dc | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [76, 77], "expectation_value": -3.289212431185564, "params": [0.505, 0.0026000000000000003, 0.0007, 0.2927, 0.031900000000000005, 0.3135, 0.5065000000000001, 0.0324, 0.5013000000000001, -0.0029000000000000002, 0.078, 0.2692, 0.4843, 0.1409, 0.5, 0.0044, 0.006900000000000001, 0.3, 0.034800000000000005, 0.3104... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.0 * Z(2) + -0.5 * Z(3) + 0.0 * Z(4) + -0.5 * Z(6) + -0.5 * Z(5) | 3 | 7 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0110010"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.7996058083707251) q[0];
rz(-0.13258950846490603) q[0];
rx(-0.04589737538281516) q[1];
rz(0.1799801397254761) q[1];
rx(0.16186570142550433) q[2];
rz(0.3133290356743821) q[2];
rx(0.8227815263736653) q[3];
rz(0.05776948433549922) q[3];
rx(0.7161871771895253) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIZIIZI",
"ZIIIZII",
"IZIZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1,
-0.5,
0,
-0.5,
-0.5
] | 0.971014 | [
0.7996058083707254,
0.006182936667641672,
-0.04589737538281516,
0.22768974747763632,
0.16186570142550433,
0.396073894945569,
0.8227815263736652,
0.013998181878018726,
0.7161871771895254,
0.15083729154297,
0.03143464359904234,
0.3059757219065661,
0.640600425668681,
0.1741861116929011,
0.3... | {
"n_parameters": 79,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 8 |
16d309fbf50eb3de0ab671378ee18bce | 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": 6, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [254, 127], "expectation_value": -2.7958643624615096, "params": [[-0.058600000000000006, -0.0777], [0.067, 0.0736]], "bitstrings": ["00000001", "10000000"], "total_optimization_steps": 10, "probabilities": [0.009991981510173652, 0.010514418922144407], "optimization_time": 3.903075695037842} | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(5) @ Z(3)) + -1.5 * (Z(5) @ Z(0)) + -1.75 * (Z(1) @ Z(3)) + -0.5 * (Z(7) @ Z(3)) + 2.0 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.25 * (Z(2) @ Z(5)) + -0.25 * (Z(4) @ Z(5)) + -1.25 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(6) @... | 1 | 8 | 2 | {"smallest_eigenvalues": [-14.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 17.75} | 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(0.12021306467003467) q[0];
cx q[3], q[0];
h q[4];
h q[5];
cx q[3], q[5];
rz(0.12021306467003467) q[5];
cx q[3], q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(0.619045472878983) q[1];
cx q[3], q[1];
rz(0.6629361776915914) 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": []} | [
"IIIIZIIZ",
"IIZIZIII",
"IIZIIIIZ",
"IIIIZIZI",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIZIIIII",
"ZIIIIIZI",
"IIIIZZII",
"IIZIIZII",
"IIZZIIII",
"ZIIZIIII",
"IIIZIZII",
"IZIIZIII",
"IZIIIZII",
"IZIZIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIIIIZII",
"IIIZIII... | [
-0.25,
-0.25,
-1.5,
-1.75,
-0.5,
2,
-0.75,
-0.25,
-1.5,
-1.25,
-0.25,
-1.25,
-0.5,
-1.5,
-1.75,
-2,
0.75,
-0.25,
0.5,
-0.5,
-0.75,
1.5,
1.5,
-2.75
] | 0.753128 | [
0.12021306467003467,
0.6629361776915914,
0.619045472878983,
0.28570574726183656,
-0.5663852669872758,
0.1273970154663604,
0.3375480158663885,
0.5843197981729872,
-0.1663806001123737,
-0.3111552012899571,
-0.24267714715287347,
0.014118320570961941,
1.2171445897763404,
0.1959828147103447,
... | {
"n_parameters": 26,
"n_qubits": 8,
"optimal_eigenvalue": -14.25,
"target_ratio": 0.97,
"target_value": -13.8225
} | 500 |
b41a0246ac934e385375b4178d6ede58 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": ... | {"states": [1023, 1016], "expectation_value": -3.2207808601862475, "params": [[-0.0634], [0.0765]], "bitstrings": ["0000000000", "0000000111"], "total_optimization_steps": 10, "probabilities": [0.0020289240780335073, 0.0021196187555278306], "optimization_time": 4.035712480545044} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + 1.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(0)) + 1.0 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(4)) + 1.0 * (Z(3) @ Z(1)) + 1.5 * (Z(3) @ Z(0)) + -3.5 * (Z(3) @ Z(2)) + -3.5 * (Z(3) @ Z(4)) + -3.0... | 1 | 10 | 1 | {"smallest_eigenvalues": [-29.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["0000000111"], "largest_eigenvalue": 37.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.6555767647713225) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.6555767647713225) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.618165224471304) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.6555767647713225) q[4];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h ... | {"node": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIIZII",
"IIIIZZIIII",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIZIIIZII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIZIIZIII",
"IZZIIIIIII"... | [
-2.5,
-2.5,
-3,
-2.5,
-3,
1.5,
0.5,
-3,
1,
1,
1,
1.5,
-3.5,
-3.5,
-3,
0.5,
0.5,
0.5,
-2.5,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
1
] | 0.559269 | [
0.6555767647713225,
0.618165224471304,
0.4413446315045509,
0.13410139490840264,
0.37869489900105247,
0.5439086686555633,
0.19224055172937282,
1.4687269806080918,
1.518026017777361,
1.0921217154686969
] | {
"n_parameters": 10,
"n_qubits": 10,
"optimal_eigenvalue": -29.5,
"target_ratio": 0.97,
"target_value": -28.615
} | 279 |
085ba3cf225b4dcc60b5adb0a9ccfea4 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [490, 426], "expectation_value": -63.950101427119975, "params": [0.6288, 0.32070000000000004, 1.2998, 0.0158, 1.3082, 0.0879, 0.8128000000000001, 0.43660000000000004, 1.2982, -0.02, -0.0031000000000000003, -0.7244, 1.3008, 0.4181, -0.0048000000000000004, 0.8834000000000001, 1.2992000000000001, -0.2195, 0.683... | 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(9) @ Z(4)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(9)) + 4.0 * Z(0) + 14.5 * Z(2) + 22.0 * Z(1) + 9.0 * Z(3) + 7.5 * Z(4) + -4.0 * Z(5)... | 18 | 10 | 2 | {"smallest_eigenvalues": [-93.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "smallest_bitstrings": ["1001010101"], "largest_eigenvalue": 146.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.03151480074124021) q[0];
rz(0.916327367042955) q[0];
rx(1.4809201662609348) q[1];
rz(0.06366645059295661) q[1];
rx(1.6395760236990977) q[2];
rz(0.10516210031655018) q[2];
rx(0.09564276848297779) q[3];
rz(0.4808104413365908) q[3];
rx(1.3495440446270819) q[4];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIIZIIZII",
"IIZZIIIIII",
"ZIIIIZIIII",
"IZIIIIIIZI",
"IZIIIIZIII",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
4,
14.5,
22,
9,
7.5,
-4,
0.5,
-3,
5,
14.5
] | 0.97731 | [
-0.03151480074124022,
0.936102887643081,
1.4809201662609348,
0.06366645059295661,
1.6395760236990977,
0.10516210031655018,
0.09564276848297779,
0.4808104413365908,
1.3495440446270819,
-0.272897898047769,
-0.08310537546559693,
-0.46058164446015987,
1.2883280825268162,
0.23675191689876507,
... | {
"n_parameters": 54,
"n_qubits": 10,
"optimal_eigenvalue": -93.5,
"target_ratio": 0.97,
"target_value": -90.695
} | 18 |
7dda09a38f354789ad2a3b94681dca6c | 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": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target":... | {"states": [0, 480], "expectation_value": -21.73989614543385, "params": [0.8305, 0.0, -1.0777, 0.0025, -0.033100000000000004, 2.1465, -0.4152, 0.0051, -0.4686, 0.21580000000000002, 0.3682, 0.0023, -1.6972, 0.07390000000000001, -0.655, 0.0058000000000000005, 0.0038, -2.5025, 0.0026000000000000003, 0.0061, -0.00310000000... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(5)) + -3.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -3.0 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(6)) + 1.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -2.5... | 6 | 9 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["000011111"], "largest_eigenvalue": 26.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.9170231262339931) q[0];
rz(1.6663066684833927) q[0];
rx(-0.0050215654850718295) q[1];
rz(-2.3265054073058105) q[1];
rx(-0.8955155374897494) q[2];
rz(1.5481495289294038) q[2];
rx(-3.0551372542267763) q[3];
rz(1.45515896271446) q[3];
rx(0.06164310570994425) 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": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZZIIII",
"IIZZIIIII",
"IIZIZIIII",
"ZIIZIIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"IZIZIIIII",
"IZIIZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
-1.5,
-2,
-2,
0.5,
0.5,
-2,
-2.5,
-3,
0.5,
-3,
0.5,
-2,
1.5,
0.5,
-2.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-1.5,
1.5,
1.5,
-2.5
] | 0.972987 | [
0.9170231262339931,
0.09551034168849609,
-0.005021565485071829,
2.3858835730788797,
-0.8955155374897495,
-0.02264679786549267,
-3.0551372542267763,
-0.11563736408043661,
0.061643105709944246,
-2.657294261119828,
-0.010240035117141883,
1.147392939419517,
0.014733353398927345,
1.538141859158... | {
"n_parameters": 39,
"n_qubits": 9,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 102 |
2fde01ebb7d3cd1daf98d95b5f19909d | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [58, 54], "expectation_value": -0.2106800513013086, "params": [[0.0789], [-0.0791]], "bitstrings": ["1000101", "1001001"], "total_optimization_steps": 10, "probabilities": [0.009114000763804437, 0.009299131910477614], "optimization_time": 1.3444576263427734} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.0 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) + -1.0 * Z(6) + 0.0 * Z(1) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1000101", "1001001"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.07427298662465327) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.07427298662465327) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.07427298662465327) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.07427298662465327) q[3];
cx q[1], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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[0], q[3];
rz(x0) q[3];
cx q[0], q[3]... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IZIIIIZ",
"ZIZIIII",
"ZZIIIII",
"ZIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1.5,
-0.5,
-1,
-0.5,
-1,
0
] | 0.970934 | [
0.07427298662465327,
-1.4746527526723987,
0.5195060594398412,
-0.9525594040303011,
-1.4597959388112045,
0.3211671694017895,
-1.6745883128150552,
-0.9711864288713873,
0.6027278372357929,
0.2385736843446129,
-0.03375219622682421,
-0.3875539840557747,
0.9499103781916123,
-0.5066415936816603,
... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -70.5,
"target_ratio": 0.97,
"target_value": -68.385
} | 45 |
5453c2513a3015ff34fdf7af0c17d479 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [21, 7], "expectation_value": -12.49929898053237, "params": null, "bitstrings": ["1101010", "1111000"], "total_optimization_steps": 66, "probabilities": [0.10660517640631754, 0.613859001512618], "optimization_time": 90.36524057388306} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 18 | 7 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.006822705804027614) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.006822705804027614) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.006822705804027614) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.006822705804027614) q[3];
cx q[... | 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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
-3.25,
-3.75,
-3.25,
-3.25,
-3,
-3,
-3
] | 0.979266 | [
-0.006822705804027614,
-0.0569835674757276,
1.6413660952290756,
1.6445943010417547,
-1.210190329393257,
1.272917394365843,
0.13825878583450213,
0.06605299930301477,
-0.18109136526066744,
-0.3332332317372449,
-1.3079642609617461,
0.48354866790017953,
-0.3444589912231889,
0.9797977022594652,... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 96 |
9915ff93784d747e82bcd9a73a2399e5 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [28, 14], "expectation_value": -2.996464150018099, "params": null, "bitstrings": ["00011", "10001"], "total_optimization_steps": 19, "probabilities": [0.06634807398600236, 0.9303666439722974], "optimization_time": 10.742632150650024} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + -0.5 * Z(3) + -0.5 * Z(0) + -1.5 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["10001", "00011"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-0.0251969072812812) q[0];
h q[1];
ry(-0.5380823333224228) q[1];
h q[2];
ry(-0.5380823333224228) q[2];
h q[3];
cx q[3], q[1];
ry(0.5380823333224228) q[1];
cx q[3], q[1];
ry(-0.8810269947366784) q[1];
ry(1.3888852652990713) q[3];
h q[4];
cx q[4], q[2];
r... | 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(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IZIIZ",
"ZZIII",
"ZIIIZ",
"ZIIZI",
"ZIZII",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1.5,
0,
0
] | 0.972771 | [
-1.7357936832727832,
-1.0761646666448457,
0.8318258295933451,
1.3888852652990713,
-0.5583266175622739,
-0.9112528734271876,
0.7301946700289301,
-0.2369592768426538,
0.13507114255148295,
0.06045175738101835,
0.5736330844182135,
0.4348793797484596,
-0.5033799150929571,
-0.6485481651535171,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 14 |
ca80a1081391714ec98f68c48872633f | 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": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 4... | {"states": [1, 21], "expectation_value": -4.855098008600605, "params": null, "bitstrings": ["1111110", "1101010"], "total_optimization_steps": 32, "probabilities": [0.20447398014986273, 0.6556482078186285], "optimization_time": 27.21423649787903} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * (Z(4) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + 0.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(2) + 0.25 * Z(5) + 0.25 * Z(4) + 0.25 * Z(6) + -... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1101010", "1111110", "1000000"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.1687906414607295) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.03011574609962077) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(0.07378267174157299) q[5];
cx q[1], q[5];
rz(1.0752020301122274) q[1];
rx(-1.5815568... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.5626) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... | [
"IIIIIZZ",
"IIIIZIZ",
"IZIIIZI",
"IZIIZII",
"IIZIZII",
"ZIIIIIZ",
"ZIIIZII",
"IZIZIII",
"IIZZIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIZIIII",
"ZIIIIII",
"IIIZIII"
] | [
-0.25,
-0.5,
-0.75,
-0.25,
-1.5,
1,
-0.5,
-0.75,
-0.25,
-0.25,
0,
-0.25,
0.25,
0.25,
0.25,
0.25,
-0.75
] | 0.969704 | [
-0.1687906414607295,
0.03011574609962077,
0.07378267174157299,
-0.07442929425137337,
0.14029338596054416,
1.0752020301122276,
1.2905015656937975,
-1.581556863044307,
-0.6601184714021492,
0.18906633086427665,
0.010349996280108478,
0.283721497150828,
1.0085271543039225,
1.5874609337062044,
... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 500 |
a3571c19d72a014065614d323aff3379 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [12, 5], "expectation_value": -0.355739768918326, "params": [[0.0655, 0.0584, 0.06570000000000001, 0.0514], [-0.0717, -0.050300000000000004, -0.061500000000000006, -0.050800000000000005]], "bitstrings": ["110011", "111010"], "total_optimization_steps": 10, "probabilities": [0.02367885534889013, 0.02472088388... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(5... | 1 | 6 | 4 | {"smallest_eigenvalues": [-2.875, -2.875], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.875, "smallest_bitstrings": ["110011", "111010"], "largest_eigenvalue": 5.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.362712956693458) q[0];
h q[1];
ry(-0.362712956693458) q[1];
h q[2];
ry(-0.362712956693458) q[2];
h q[3];
cx q[3], q[2];
ry(0.362712956693458) q[2];
cx q[3], q[2];
ry(-0.8545707286531208) q[2];
ry(1.2709249526324335) q[3];
h q[4];
cx q[4], q[0];
ry(0.362712... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIZZI",
"IIZIZI",
"IIIIZZ",
"IIZZII",
"IIIZIZ",
"IIZIIZ",
"IIZZZI",
"IIIZZZ",
"IIZIZZ",
"IIZZIZ",
"IIZZZZ",
"ZIIZII",
"IZZIII",
"ZIZIII",
"ZZIIII",
"ZZZIII",
"IIIIZI",
"IIIZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"ZIIIII"
] | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.625,
-0.125,
0.125,
-0.625,
-0.75,
-0.25
] | 0.975572 | [
-0.725425913386916,
1.0706273462922709,
1.3425111777435603,
0.63039906660102,
-0.680705231014584,
-0.40156305610165266,
-0.260757100747384,
0.5178049646920392,
0.4005952126803254,
-0.5439106489094752,
0.08432570462335529,
-0.40927439929699994,
-0.3477309952770732,
0.042917048675201463,
-... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 20 |
73d533dc900ade1f39f82d1daf03a1c8 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 4... | {"states": [9, 27], "expectation_value": -9.656134434931806, "params": null, "bitstrings": ["1110110", "1100100"], "total_optimization_steps": 45, "probabilities": [0.21130126320595546, 0.6415753811416571], "optimization_time": 52.913326025009155} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(3)) + -2.75 * Z(1) + -0.25 * Z(0) + -1.0 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-10.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["1100100"], "largest_eigenvalue": 11.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6453148803699713) q[0];
h q[1];
ry(-1.2906297607399426) q[1];
h q[2];
ry(0.20763618927947922) q[2];
h q[3];
ry(1.5707963228051525) q[3];
h q[4];
ry(-1.2906297607399426) q[4];
h q[5];
cx q[5], q[2];
ry(-0.20763618927947922) q[2];
cx q[5], q[2];
ry(-0.212059... | 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", ... | [
"IIIIIZZ",
"IIZIIZI",
"IIZIIIZ",
"IIIIZZI",
"IIZIZII",
"IZZIIII",
"IZIIZII",
"IIIZIZI",
"ZIIIIIZ",
"ZIZIIII",
"ZZIIIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IIIIZII",
"IZIIIII",
"IIIZIII",
"ZIIIIII"
] | [
-0.75,
-0.5,
-0.75,
-0.5,
-0.5,
-0.5,
-0.75,
-1,
1.75,
-0.25,
-0.25,
-0.75,
-2.75,
-0.25,
-1,
1.25,
0.5,
1.75,
0.5
] | 0.93217 | [
-1.2906297607399426,
0.9633644251176647,
-0.8643128177065958,
1.5707963228051525,
0.6074318337665492,
-0.061168553258004583,
0.41527237855895843,
-0.42411995153383697,
-9.531955346250186e-9,
-1.2449153971741117e-7,
0.8307106868012877,
0.9070901524241489,
1.6098834234627052e-7,
0.0210102808... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -10.75,
"target_ratio": 0.97,
"target_value": -10.4275
} | 432 |
4ad240d57102d025ddea38d8ddb54f36 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": ... | {"states": [0, 135], "expectation_value": -33.99017334483581, "params": [0.060700000000000004, -1.7217, 0.099, -1.8411000000000002, -0.0021000000000000003, 1.0515, -0.0014, 1.3114000000000001, -0.3662, 0.9559000000000001, -0.17950000000000002, 1.3994, 0.002, 0.8553000000000001, 0.0013000000000000002, 0.8818, 0.00180000... | -3.0 * (Z(0) @ Z(5)) + -3.0 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(0)) + -3.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -3.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -3.0 * (Z(6) @ Z(1)) + 1.5 * (Z(6) @ Z(4)) + 1.5 * (Z(3) @ Z(5)) + 1.0 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(4)) + -3.0 * (Z(3) @ Z(6)) + -2.0... | 6 | 10 | 4 | {"smallest_eigenvalues": [-36.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -35.0, "smallest_bitstrings": ["1101111000"], "largest_eigenvalue": 31.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.04046312835304951) q[0];
rz(-0.3243052263732884) q[0];
rx(0.003585585078849185) q[1];
rz(2.807666578619969) q[1];
rx(-0.0005729098741490882) q[2];
rz(2.2481832148137606) q[2];
rx(0.0022280056515224882) q[3];
rz(2.163859015544441) q[3];
rx(0.017428721619519253) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIZ",
"IIIIZIIIZI",
"IIIIIIIIZZ",
"IIIIZZIIII",
"IIIIIZIIIZ",
"IIIIIZIIZI",
"IIIZZIIIII",
"IIIZIIIIIZ",
"IIIZIIIIZI",
"IIIZIZIIII",
"IIIIZIZIII",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIZIIZIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"IZIIIIIZII",
"IIZIIIIZII",
"ZIIIIIIZII"... | [
-3,
-3,
0.5,
-3.5,
0.5,
-2.5,
-3.5,
0.5,
-3,
1.5,
1.5,
1,
-3,
-3,
-2,
-2,
-2,
-2,
-2,
-2,
-3,
1,
1.5,
1.5,
-2,
-2,
0.5,
0.5,
0.5,
0.5
] | 0.888096 | [
0.04046312835304951,
-1.895101553168185,
0.0035855850788491846,
1.236870251825072,
-0.0005729098741490881,
0.6773868880188629,
0.0022280056515224887,
0.593062688749544,
0.01742872161951925,
0.5350986429492697,
0.0018196998633463034,
0.8451806004273671,
0.004063637410643045,
1.5088025495585... | {
"n_parameters": 192,
"n_qubits": 10,
"optimal_eigenvalue": -36,
"target_ratio": 0.97,
"target_value": -34.92
} | 500 |
421dc0e0e103964520cbb860ec0bda39 | 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": 13, "source": 1, "target": 4}, {"weight": 18, "source": 1, "target": 2}, {"weight": 10, "source": 2, "tar... | {"states": [378, 218], "expectation_value": -22.822081169605415, "params": [[0.0263, -0.0047, 0.0048000000000000004], [-0.055, -0.0414, -0.0589]], "bitstrings": ["010000101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.005809127336595271, 0.0071605664184921924], "optimization_time": 6.365297555923... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-87.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 168.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.012388340079966701) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.012388340079966701) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.012388340079966701) q[2];
cx q[0], q[2];
rz(-0.6660843671540144) q[0];
rx(-0.08320873170170164) 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": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIZII",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
22.5,
2.5,
11,
9.5,
20.5,
14.5,
1,
14,
5
] | 0.970483 | [
0.012388340079966701,
1.4693534097425147,
-0.6660843671540132,
1.5899166718533837,
-0.9827053235728226,
2.2753017489986824,
1.3405976084313063,
0.09933892985721386,
0.4564329047357902,
0.241168567412698,
-0.08320873170170155,
0.011261907487312017,
-0.2729051234428472,
-0.9991115616669448,
... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -87,
"target_ratio": 0.97,
"target_value": -84.39
} | 80 |
0411bb1d6e6dbee927745193cc5513fc | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [543, 527], "expectation_value": -69.16921335714929, "params": [[[2.1308000000000002, 0.6767000000000001], [0.0031000000000000003, 0.6749], [0.0018000000000000002, 0.0014], [0.0017000000000000001, -0.0021000000000000003], [-0.002, -0.0028], [-1.5763, 1.5809], [0.0027, 1.5547], [-0.0028, -0.0028], [1.482, 1.0... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(4) @ Z(0)) + 6.5 * (Z(3) @ Z(6)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(9) @ Z(6)) + 6.5 * (Z(9) @ Z(3)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(7) @ Z(9)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(8) @ Z(9)) + 6.5 * (Z(8) @ Z(7)) + 14.0 * Z(0) + -5.5 * Z(1) + 3.5 * Z(4) + 15.5 * Z(6) + 3... | 15 | 10 | 1 | {"smallest_eigenvalues": [-102.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -96.5, "smallest_bitstrings": ["0111110000"], "largest_eigenvalue": 173.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.1875927105193598) q[0];
ry(0.27986557455181726) q[1];
ry(-0.15433106690291537) q[2];
ry(0.5864971806373135) q[3];
ry(0.37078531746557186) q[4];
ry(0.05947375883768198) q[5];
ry(1.1369911079912849) q[6];
ry(0.04304071856881464) q[7];
ry(0.7206585290080753) q[8];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZIIIZ",
"IIIZIIZIII",
"IIIZZIIIII",
"ZIIZIIIIII",
"ZIIIIIZIII",
"IIZIIIIIIZ",
"IIZIIZIIII",
"ZIZIIIIIII",
"IZIIZIIIII",
"ZZIIIIIIII",
"IZZIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"ZIIIIIIIII",
"IIZIIIIIII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
14,
-5.5,
3.5,
15.5,
3.5,
1.5,
19.5,
22,
12,
-9.5
] | 0.972602 | [
1.1875927105193598,
0.27986557455181726,
-0.15433106690291537,
0.5864971806373135,
0.37078531746557186,
0.05947375883768198,
1.1369911079912849,
0.04304071856881464,
0.7206585290080753,
0.8799186681043127,
0.08650217859581108,
-0.03044606232719897,
-0.06480267808755716,
0.01731209573503017... | {
"n_parameters": 80,
"n_qubits": 10,
"optimal_eigenvalue": -102.5,
"target_ratio": 0.97,
"target_value": -99.425
} | 30 |
681317cce116b7c317d2d1166a0937e1 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [463, 271], "expectation_value": -1.029924532048478, "params": [0.7767000000000001, 0.7759, 0.77, 0.7767000000000001, 0.7778, 0.7785000000000001, 0.001, 0.0029000000000000002, 0.7445, 0.7528, 0.7695000000000001, 0.7789, 0.7874, 0.7885000000000001, 0.8041, 0.805, 0.7935, 0.7868, 0.6704, 0.7808, 0.1444, 0.7693... | 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(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(7)) + 0.25 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(0) @ Z(7)) + 0.25 * (Z(5) @ Z(1))... | 14 | 9 | 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], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.25, "smallest_bitstrings": ["001101010", "010110001", "011110000", "100110001", "001111000", "110100100", "100101100", "100101001", "1001... | 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(-0.2653211005769242) q[0];
cx q[3], q[0];
h q[4];
cx q[0], q[4];
rz(-0.2653211005769242) q[4];
cx q[0], q[4];
h q[5];
cx q[0], q[5];
rz(-0.2653211005769242) q[5];
cx q[0], q[5];
rz(0.8526905993575316) q[0];
rx(0.88180115... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIZZZIIII",
"IIIIZIIIZ",
"IZIIIIIIZ",
"IZIIZIIII",
"IZIIZIIIZ",
"IIIZIIIZI",
"ZIIIIIIZI",
"ZIIZIIIII",
"ZIIZIIIZI",
"IIZIIIZII",
"ZIIIIIZII",
"ZIZIIIIII",
"ZIZIIIZII",
"IZIIIZIII",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
0,
0,
-1,
0,
0,
0,
-0.25,
0
] | 0.764122 | [
-0.2653211005769242,
0.8526905993575312,
1.319009349126271,
-2.5209900163082057,
0.8818011504971432,
1.18332886007987,
-2.851170190766367,
-2.4976708840306894,
-0.4815721680834389
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 330 |
d641b238a610d42d2a4d2049e26c4a8c | 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": 1}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 1, ... | {"states": [113, 97], "expectation_value": -10.35316923629764, "params": null, "bitstrings": ["10001110", "10011110"], "total_optimization_steps": 55, "probabilities": [0.3431873609156808, 0.4603072463763573], "optimization_time": 73.40417432785034} | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -2.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(6)) + -1.25 * (Z(7) @ Z(1)) + 2.5 * (Z(7) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @... | 1 | 8 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["10011110"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7946463062368568) q[0];
h q[1];
h q[2];
ry(0.6186852872545041) q[2];
cx q[1], q[2];
ry(-0.6186852872545041) q[2];
cx q[1], q[2];
ry(1.5435180341782773) q[1];
ry(0.18224120531489832) q[2];
ry(-0.17608387131973435) q[3];
rz(-pi) q[3];
cx q[1], q[3];
ry(0.247... | 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(-0.7408) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIZIIIZ",
"IZIIIIIZ",
"IIIIIZZI",
"IZIIIZII",
"ZIIIIIZI",
"ZIIIIIIZ",
"IIIZZIII",
"IZIIZIII",
"IIIIZZII",
"IIZIIIZI",
"IIZZIIII",
"IZZIIIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIIZII",
"ZIIIIIII",
"IIIIZIII",
"IIZIIIII"
] | [
-0.5,
-1.25,
-0.5,
-2.5,
-0.75,
-1.25,
2.5,
-1,
-1.25,
-1,
-0.25,
-0.75,
-0.75,
-1.25,
0.5,
-0.25,
0.5,
-0.75,
1.75,
1.25,
-4.5,
1.5
] | 0.970629 | [
-1.147417811859112,
1.2373705745090082,
1.5435180341782773,
-0.49458928723210044,
-1.5892926124737137,
-2.309415929446479,
0.36448241062979664,
-0.4538661237832402,
-0.06284718478532479,
0.1828448554015769,
-0.33230521476711383,
0.37352140419820384,
-0.07913749338643893,
0.3498126979268162... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 77 |
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": 20.877365112304688} | -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 | 3 | {"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 |
2908819120690018760 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2], [2, 7], [2, 5], [4, 5], [1, 5], [0, 6], [0, 1], [3, 5]]} | {"states": [248, 122], "expectation_value": -3.6780564934433353, "params": null, "bitstrings": ["00000111", "10000101"], "total_optimization_steps": 46, "probabilities": [0.06027538288070057, 0.8615939130297372], "optimization_time": 47.36702084541321} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(7) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(3) | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["01111010", "10000101"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.2198983641006973) q[0];
rz(-pi) q[1];
ry(-3.041984595230077) q[1];
h q[2];
ry(1.5819308349459638) q[2];
h q[3];
ry(0.6898434399508135) q[3];
h q[4];
h q[5];
ry(-0.2198983641006973) q[5];
cx q[4], q[5];
ry(0.2198983641006973) q[5];
cx q[4], q[5];
ry(-0.3959... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[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];\nc[6] = me... | [
"IIIIIZIZ",
"ZIIIIZII",
"IIZIIZII",
"IIZZIIII",
"IIIIIIZZ",
"IIZIIIZI",
"IZIIIIIZ",
"IIZIZIII",
"IIIIIZII",
"IIIIIIIZ",
"ZIIIIIII",
"IIZIIIII",
"IIIZIIII",
"IIIIIIZI",
"IZIIIIII",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.970935 | [
-0.4397967282013946,
1.5819308349459638,
-0.7919176947032767,
-1.4517508818482945,
1.528097884473279,
1.379686879901627,
-0.45277722742923343,
-0.3402060411665815,
0.17694710041729794,
0.17618901911136928,
0.3361921367681162,
0.053650913994883836,
-0.07878016405274368,
-0.08178015127637517... | {
"n_parameters": 25,
"n_qubits": 8,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 7 |
-5915888265279990789 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 3, 5, 6, 7, 8], [8, 1, 4], [0, 1, 2, 3, 7, 8], [4, 6], [0, 1, 6], [8, 1, 5, 7]]} | {"states": [231, 167], "expectation_value": -1.7851404945422331, "params": [-0.0395, -0.0015, 0.0337, 0.0061, 2.0388, -0.0024000000000000002, 1.1096000000000001, 0.032, 2.2156000000000002, -0.4292, 2.2195, 0.0024000000000000002, 1.2836, -0.2853, 1.1026, -0.2054, -0.0028, 1.4601000000000002, -0.0028, 0.00480000000000000... | 0.06666666666666667 * (Z(2) @ Z(3)) + 0.03333333333333333 * (Z(5) @ Z(3)) + 0.03333333333333333 * (Z(5) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(3)) + 0.03333333333333333 * (Z(6) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(5)) + 0.06666666666666667 * (Z(7) @ Z(3)) + 0.06666666666666667 * (Z(7) @ Z(2)) + 0.11666666666666... | 8 | 9 | 1 | {"smallest_eigenvalues": [-1.8166666666666669], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8166666666666664, "smallest_bitstrings": ["101011000"], "largest_eigenvalue": 5.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.018545554605592228) q[0];
rz(1.7203316691976251) q[0];
rx(2.0954256661448523) q[1];
rz(-0.017843438885355643) q[1];
cx q[1], q[0];
ry(-0.0003384898141880308) q[0];
cx q[1], q[0];
ry(0.15400142271500344) q[0];
rz(-1.4884057028300448) q[0];
rx(1.1743440144497272) 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": []} | [
"IIIIIZZII",
"IIIZIZIII",
"IIIZIIZII",
"IIZIIZIII",
"IIZIIIZII",
"IIZZIIIII",
"IZIIIZIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIZIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIZIZI",
"IIIIIIZZI",
"IIIZIIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"... | [
0.06666666666666667,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.06666666666666667,
0.06666666666666667,
0.11666666666666667,
0.03333333333333333,
0.06666666666666667,
0.06666666666666667,
0.11666666666666667,
0.033333333333333... | 0.978315 | [
-0.018545554605592224,
0.14953534240272837,
2.0954256661448523,
-0.017843438885355643,
2.3941156860882233,
-0.46629678575701766,
1.2765435325975911,
-0.18402664527216545,
-0.016094465676459828,
1.6175788770249673,
0.10555033195405507,
-0.9570511775596904,
1.4995347954929548,
0.000676979628... | {
"n_parameters": 42,
"n_qubits": 9,
"optimal_eigenvalue": -1.8166666666666669,
"target_ratio": 0.97,
"target_value": -1.7621666666666669
} | 1 |
c57af7e32d961e6547bc80ba0ce96978 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target":... | {"states": [511, 510], "expectation_value": -1.719847164534416, "params": [[-0.08120000000000001], [0.0747]], "bitstrings": ["000000000", "000000001"], "total_optimization_steps": 10, "probabilities": [0.003749473005768996, 0.0038410402719714996], "optimization_time": 2.7104620933532715} | -2.0 * (Z(0) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + -2.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(... | 5 | 9 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["000000001"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.751283547283157) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.5037039314402427) q[3];
cx q[2], q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.751283547283157) q[1];
cx q[2], q[1];
rz(-0.340127971604129) q[2];
rx(1.05195873720640... | 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[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x1) q[3];
cx q[2], q[3];
cx... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIZZIIII",
"IZIZIIIII",
"IZIIZIIII",
"IIZZIIIII",
"IIZIZIIII",
"IZZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIZIIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
-2,
1,
-2,
-2,
1,
-2,
-2,
-2,
-2,
-2,
1,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.58802 | [
0.751283547283157,
0.5037039314402427,
-0.3401279716041289,
1.5707963632756463,
1.051958737206407
] | {
"n_parameters": 5,
"n_qubits": 9,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 157 |
e2e158f2cf7d16562fe0667a95b89216 | 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": 6, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 2}, {"weight": 20, "source": 0, "target": 4}, {"weight": 11, "source": 1, "tar... | {"states": [237, 234], "expectation_value": -20.58449164627836, "params": [[-0.0263, -0.0034000000000000002], [0.0606, 0.0604]], "bitstrings": ["100010010", "100010101"], "total_optimization_steps": 10, "probabilities": [0.004749179206510659, 0.006214871449452297], "optimization_time": 3.753337860107422} | 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(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-92.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 179.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0646223712131074) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0646223712131074) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0646223712131074) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.0646223712131074) q[3];
cx q[0], q[3];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZZIIII",
"IZIIIIZII",
"IZIIIZIII",
"IZIZIIIII",
"IIZIIIZII",
"IIZZIIIII",
"IZZIIIIII",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
14.5,
7.5,
23.5,
10,
1,
21,
22,
6,
2
] | 0.976965 | [
0.0646223712131074,
-1.3221292206741764,
0.5803255913039884,
-1.1623415522289597,
-1.4335702797900156,
0.6399028361397165,
-1.9620343555777144,
-1.516386137216148,
0.9856581263537598,
1.278561098999369,
0.674786975558751,
-0.09280645834666516,
-0.393514203144838,
0.9223262524356773,
-0.8... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -92.5,
"target_ratio": 0.97,
"target_value": -89.725
} | 54 |
8070808537194678837 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 2, 3, 4, 6], [1, 2, 3, 4, 5, 6], [0, 1, 2, 5, 6], [0, 2, 3, 5, 6]]} | {"states": [57, 110], "expectation_value": -0.005281889296800667, "params": [[0.0354], [-0.0363]], "bitstrings": ["1000110", "0010001"], "total_optimization_steps": 10, "probabilities": [0.00785541736748046, 0.00785541741730916], "optimization_time": 2.4807863235473633} | 0.08333333333333334 * (Z(0) @ Z(1)) + 0.11666666666666667 * (Z(2) @ Z(1)) + 0.13333333333333336 * (Z(2) @ Z(0)) + 0.06666666666666667 * (Z(3) @ Z(1)) + 0.08333333333333334 * (Z(3) @ Z(0)) + 0.11666666666666667 * (Z(3) @ Z(2)) + 0.06666666666666667 * (Z(4) @ Z(1)) + 0.03333333333333333 * (Z(4) @ Z(0)) + 0.06666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-0.8000000000000003, -0.8000000000000003], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.8000000000000002, "smallest_bitstrings": ["0010001", "0100001"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.14378075412969685) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.05223592357303375) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.04780495032252458) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.04509210739391982) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
0.08333333333333334,
0.11666666666666667,
0.13333333333333336,
0.06666666666666667,
0.08333333333333334,
0.11666666666666667,
0.06666666666666667,
0.03333333333333333,
0.06666666666666667,
0.06666666666666667,
0.11666666666666667,
0.13333333333333336,
0.16666666666666669,
0.116666666666666... | 0.912688 | [
0.14378075412969685,
-0.05223592357303375,
-0.04780495032252458,
0.04509210739391982,
0.03336413489105194,
1.6566833588909606,
0.1260000625357105,
1.138204306391083,
1.2163922399169702,
0.018860875510410692,
-0.958464100959141
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -0.8000000000000003,
"target_ratio": 0.97,
"target_value": -0.7760000000000002
} | 306 |
513c00093dea827c03c59c65710798db | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [116, 46], "expectation_value": -0.30420388889106353, "params": [[-0.058600000000000006, -0.0609], [0.0711, 0.0734]], "bitstrings": ["0001011", "1010001"], "total_optimization_steps": 10, "probabilities": [0.010605201004371508, 0.010969104783107126], "optimization_time": 2.564241886138916} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -1.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(5) + -1.0 * Z(6) + 0.0 * Z(1) + -0.5 * Z(2) + 0.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["0001011", "1010001"], "largest_eigenvalue": 7.0} | 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(-0.37077761555759625) q[0];
cx q[3], q[0];
h q[4];
h q[5];
cx q[0], q[5];
rz(-0.37077761555759625) q[5];
cx q[0], q[5];
rz(0.03009543590334829) q[0];
rx(1.2688047511317464) q[0];
h q[6];
cx q[3], q[6];
rz(-0.370777615557... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(x0) q[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IZIIIIZ",
"ZIIZIII",
"ZIIIIZI",
"IIIZZII",
"IZIIZII",
"ZIZIIII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-1,
0,
-0.5,
0
] | 0.7778 | [
-0.37077761555759625,
0.9066675348977866,
0.03009543590334805,
-0.8005422509188833,
1.2688047511317466,
-0.9186314981035741,
0.8070252633421148,
0.5332769516375501,
0.6583745163391305
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 229 |
7032cc934d25ccc88ef0fef25c22438b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1309, 1293], "expectation_value": -95.06980716742255, "params": [0.7745000000000001, 0.7195, 0.3281, 0.31420000000000003, 0.7827000000000001, 0.7839, 0.0013000000000000002, 0.0097, -0.005, -0.0012000000000000001, 0.0292, -0.042100000000000005, 0.3829, 0.3723, 0.7805000000000001, 0.7763, 0.6839000000000001, ... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(5) @ Z(8)) + 6.5 * (Z(6) @ Z(0)) + 6.5 * (Z(6) @ Z(8)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(4) @ Z(10)) + 6.5 * (Z(9) @ Z(10)) + 10.5 * Z(1) + 5.5 * Z(0) + 12.5 * Z(2) + -5.5 * Z(3) +... | 14 | 11 | 2 | {"smallest_eigenvalues": [-110.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -99.0, "smallest_bitstrings": ["01011110010"], "largest_eigenvalue": 148.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.9870946173973115) q[0];
rz(0.11503536546917692) q[0];
rx(0.12696651113001456) q[1];
rz(0.1674318736336744) q[1];
rx(0.8933646799503157) q[2];
rz(-0.0524012993334214) q[2];
rx(-0.03315950949110856) q[3];
rz(0.5246163705368376) q[3];
rx(0.15888211171011413) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIZZII",
"IIZIIZIIIII",
"IIIIZIIIIIZ",
"IIZIZIIIIII",
"IIIZIIIIIZI",
"IIIZIIIIZII",
"IIZZIIIIIII",
"IIIZZIIIIII",
"ZIIIIIZIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIZIIIIIIII",
"IIIIIZIIIII",
"IIIIZIIII... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
10.5,
5.5,
12.5,
-5.5,
16.5,
-4.5,
11,
21.5,
8,
-2,
-3.5
] | 0.979408 | [
0.9870946173973115,
0.14008622734787693,
0.12696651113001456,
0.1674318736336744,
0.8933646799503157,
-0.0524012993334214,
-0.03315950949110856,
0.5246163705368376,
0.15888211171011413,
-0.7482225412037484,
0.0001791192027958237,
0.38605244007058404,
-0.007950060581808489,
0.19380798477595... | {
"n_parameters": 127,
"n_qubits": 11,
"optimal_eigenvalue": -110,
"target_ratio": 0.97,
"target_value": -106.7
} | 11 |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 3}, {"source": ... | {"states": [56, 7], "expectation_value": -2.45230254127377, "params": [[0.0055000000000000005, -0.0298, -0.047, -0.0603], [-0.045700000000000005, -0.0073, 0.041600000000000005, 0.053000000000000005]], "bitstrings": ["000111", "111000"], "total_optimization_steps": 10, "probabilities": [0.02460338136749058, 0.0252215176... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 10 | 6 | 4 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.8473521450627363) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.8473521450627363) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.042967194764701365) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(-0.8473521450627363) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
2,
2,
1.75,
2,
1.75,
2,
2,
1.75,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.505615 | [
-0.8473521450627363,
-0.042967194764701365,
0.0646286253227127,
0.4276632086634684,
0.7850932252334482
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 131 |
749aca76179fb56419bc9b08f5b80355 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": ... | {"states": [0, 256], "expectation_value": -10.032336419913786, "params": [0.0021000000000000003, 0.0023, 0.004200000000000001, 0.0041, -0.0041, -0.0015, 0.4002, 0.3981, 0.27440000000000003, 0.2909, 0.0051, -0.0023, -0.0011, 0.0049, 0.0045000000000000005, -0.0025, 0.0044, 0.0002, 0.0008, 0.006, 0.0013000000000000002, 0.... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(2) @ Z(0)) + 1.25 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(9) @ Z(1)) + -0.75 * (Z(9) @ Z(6)) + -0.5 * (Z(10) @ Z(1)) + -0.25 * (Z(10) @ Z(6)) + -0.5 * (Z(10) @ Z(3)) + -0.25 * (Z(10) @ Z(5)) + -0.5 * (Z(11) @ Z(1)) + -0.25 * (Z... | 14 | 12 | 2 | {"smallest_eigenvalues": [-11.0, -11.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["111001111111", "111011111111"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.07137064470695745) q[0];
rz(pi/2) q[0];
ry(0.14393458098144418) q[1];
ry(-0.0854289741377989) q[2];
ry(0.5352692113056454) q[3];
ry(0.2749978947057499) q[4];
ry(-0.09914629998656764) q[5];
ry(-0.08458106121576489) q[6];
ry(-0.15895760311660853) q[7];
ry(-0.016945... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIZIIIIZI",
"IIIIIZIIIIIZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIZIIIZI",
"IIZIIIIIIIZI",
"IIZIIZIIIIII",
"IZIIIIIIIIZI",
"IZIIIZIIIIII",
"IZIIIIIIZIII",
"IZIIIIZIIIII",
"ZIIIIIIIIIZI",
"ZIIIIIIIIZII",
"ZIIIIIIIZIII",
"ZZIIIIIIIIII",
"IIIZIZIIIIII",
"IIIZIIIII... | [
-0.25,
-0.25,
-0.5,
-0.25,
1.25,
-0.5,
-0.5,
-0.75,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
1.5,
-0.25,
-0.25,
0.5,
0.5,
0.25,
-0.5,
0.25,
-1,
-1.5,
0.5,
0
] | 0.971951 | [
-0.07137064470695745,
0.14393458098144418,
-0.0854289741377989,
0.5352692113056454,
0.2749978947057499,
-0.09914629998656764,
-0.08458106121576489,
-0.15895760311660853,
-0.016945667145984528,
0.23257611548752377,
-0.03313100065190486,
-0.0906379300522488,
-0.5504365156196717,
-0.274502967... | {
"n_parameters": 88,
"n_qubits": 12,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 6 |
d95402f534dca4e34937ada56ff64246 | 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": 4, "source": 0, "target": 2}, {"capacity": 4, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 4... | {"states": [3, 1], "expectation_value": -1.3832006889156458, "params": [[0.0731, 0.06770000000000001], [-0.0728, -0.0536]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.015087251502067025, 0.01700319035094105], "optimization_time": 2.685368537902832} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(4)) + 2.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + -1.5 * Z(2) + 0.25 * Z(4) + -0.5 * Z(5) + 1.5 * Z(3) + 1.5... | 1 | 7 | 2 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.13230586609346) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.13237836260856983) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.13237836260856983) q[4];
cx q[1], q[4];
cx q[1], q[3];
cx q[2], q[4];
rz(-0.364022518576758... | OPENQASM 3.0;
include "stdgates.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",
"IIIIZIZ",
"IIZIIZI",
"IIZIZII",
"IZIIZII",
"IIIZIZI",
"IIIZZII",
"IIZZIII",
"ZIIIIIZ",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IZIIIII",
"IIIZIII",
"ZIIIIII"
] | [
-0.75,
-1,
-1,
-0.25,
-0.5,
-1.25,
-1.25,
-1,
2,
-0.5,
-1,
-0.25,
-1.5,
0.25,
-0.5,
1.5,
1.5
] | 0.731393 | [
0.13230586609346,
-0.13237836260856983,
-0.5124206816957112,
-0.30967895502240017,
-0.3640225185767584,
0.18564147488397173,
-1.2413245026761297,
0.1313259944068888,
0.6382467076975843,
-1.4287512366811355,
0.16684516368563745,
-0.8832857140518996,
-0.5240109649349867,
-0.5404390904836273,... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 440 |
0c3fcbc9e53b010416a5dc3cca6f6cb7 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"sour... | {"states": [41, 169], "expectation_value": -5.63338048332156, "params": [-0.0015, 0.0006000000000000001, 0.216, 0.2132, 0.025, 0.032600000000000004, 0.3057, 0.3054, 0.0058000000000000005, -0.00030000000000000003, 0.2998, 0.2969, -0.001, -0.0015, 0.165, 0.1635, 0.2988, 0.30110000000000003, 0.0057, -0.0017000000000000001... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + -0.5 * Z(1) ... | 13 | 9 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.5, "smallest_bitstrings": ["111010100", "100010111", "101010110", "101100110", "110010101", "011110100"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.21111498807698553) q[0];
rz(0.10555749403849277) q[0];
ry(0.13909242607221134) q[1];
ry(-0.00664597219892369) q[2];
ry(0.2079340248578086) q[3];
ry(0.07831016661878276) q[4];
ry(0.25065546508438385) q[5];
ry(-0.31525587592504634) q[6];
ry(-0.07027463809177667) q[7]... | 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": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIZIIIIIZ",
"IIZIIIZII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIIZIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"IIZZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-2,
-1.5,
-0.5,
-2,
-2,
-0.5,
-0.5,
0
] | 0.973609 | [
0.21111498807698553,
0.13909242607221134,
-0.00664597219892369,
0.2079340248578086,
0.07831016661878276,
0.25065546508438385,
-0.31525587592504634,
-0.07027463809177667,
0.7358480555775059,
0.09190701435418475,
-0.028157517722831968,
-0.16465114394787822,
-0.1283794432709532,
-0.0945000487... | {
"n_parameters": 128,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 8 |
8782754471923327957 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 6], [0, 5], [1, 5], [2, 3, 6], [0, 3], [5, 6], [8, 4, 5, 7], [0, 1, 6, 7]]} | {"states": [350, 470], "expectation_value": -2.7149123595615245, "params": null, "bitstrings": ["010100001", "000101001"], "total_optimization_steps": 69, "probabilities": [0.06420324931789295, 0.8247136560138383], "optimization_time": 105.84913086891174} | 0.5 * (Z(8) @ Z(6)) + 0.08333333333333333 * (Z(0) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(6)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.5 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.0000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8333333333333344, "smallest_bitstrings": ["000101001"], "largest_eigenvalue": 5.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.5274578588025267) q[0];
rz(1.426293753189988) q[0];
rx(1.8070132032197999) q[1];
rz(1.435574575907502) q[1];
rx(1.80332483266316) q[2];
rz(1.7006139643609135) q[2];
rx(0.5604531563301115) q[3];
rz(1.6730510606779374) q[3];
rx(1.3118328194469298) q[4];
rz(1.38234926... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.1408) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"ZIZIIIIII",
"IIZIIIIIZ",
"IIZZIIIII",
"ZIIZIIIII",
"IIIZIIIIZ",
"IIZIIIIZI",
"IIIIIIIZZ",
"IIIZIIIZI",
"IIZIIIZII",
"IIZIIZIII",
"IIIIIZIIZ",
"IIIIIZZII",
"ZIIIZIIII",
"IIIZZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IZIIIIIIZ",
"IZIZIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"IIZIIIIII",
"... | [
0.5,
0.08333333333333333,
0.5,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.083... | 0.972856 | [
1.5274578588025267,
-0.14450257360490842,
1.8070132032197999,
-0.13522175088739413,
1.8033248326631597,
0.1298176375660168,
0.5604531563301115,
0.10225473388304085,
1.3118328194469298,
-0.18844705818179897,
0.469653453386988,
-0.04170692831137457,
1.7739473492074664,
-0.03220895360554993,
... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -3.0000000000000004,
"target_ratio": 0.97,
"target_value": -2.91
} | 105 |
50c5b65ff56baf5d2a2ac4afeecfa642 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [164, 165], "expectation_value": -4.234457991201657, "params": [0.40640000000000004, -0.0021000000000000003, 0.3965, -0.0021000000000000003, 0.0029000000000000002, 0.2325, 0.0004, 0.23450000000000001, 0.3982, 0.0017000000000000001, 0.4055, 0.0125, -0.0001, 0.22990000000000002, 0.0008, 0.23390000000000002, -0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(4) + -1.5 * Z(1) + -1.0 * Z(5) + -0.5 * Z(6) + -0.5 * Z(7) + 0.... | 7 | 8 | 3 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["01011010", "01011001"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.312878483299264) q[0];
rz(-0.04962151999419673) q[0];
rx(0.2229448250229675) q[1];
rz(0.006482994369434759) q[1];
cx q[1], q[0];
rz(0.10306621733046736) q[0];
cx q[1], q[0];
rz(1.6030319478859267) q[0];
ry(1.0490596881945315) q[0];
rz(-1.6919936754392435) q[0];
rx(... | 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] x11;
in... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIZIIIZ",
"IIIIZIZI",
"IIZIZIII",
"IIZZIIII",
"IIZIIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"ZZIIIIII",
"IIIIZZII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-1.5,
-1,
-0.5,
-0.5,
0
] | 0.973162 | [
0.31287848329926404,
0.05344469733627061,
0.2229448250229675,
0.006482994369434759,
0.4173801066670407,
0.11788323466496198,
-0.029934024626718368,
0.2961232394701597,
-0.032466020933382064,
0.32079252337882813,
0.4752988584322023,
0.004911548039477999,
0.11051400061943498,
0.2977006990494... | {
"n_parameters": 109,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 9 |
6af884d627ee37a45c35f4c485ec07d5 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [17, 1], "expectation_value": -3.251877300624112, "params": [-0.0005, 0.31970000000000004, 0.0037, 0.4213, 0.46740000000000004, 0.12300000000000001, 0.004200000000000001, 0.4445, 0.0031000000000000003, 0.35750000000000004, 0.0048000000000000004, 0.443, 0.6103000000000001, 0.009000000000000001, 0.0032, 0.3495... | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(5)) + -1.25 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * Z(5) + -0.25 * Z(0) + 0.5 * Z(6) + 0.25 * Z(3) + -0.25 * Z(1) + -0.25 * Z(4) + 0.5 * Z(2) | 3 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1101110", "1101010", "1000010", "1111110"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.2129396642339767) q[0];
cx q[5], q[0];
cx q[5], q[3];
rz(-0.2129396642339767) q[3];
cx q[5], q[3];
cx q[3], q[1];
rz(-1.5032141761943887) q[1];
cx q[3], q[1];
rz(-0.2129396642339767) q[1];
rx(-0.873748... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"ZIIIIIZ",
"IZIZIII",
"IIIZIZI",
"IIZZIII",
"IIZIZII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IIIIZII"
] | [
-0.25,
0.5,
-0.25,
-1.25,
-0.25,
-0.5,
-0.5,
-0.25,
0.5,
0.25,
-0.25,
-0.25,
0.5
] | 0.656065 | [
-0.2129396642339767,
0.823446126675711,
-1.5032141761943887,
-1.1053657754057873,
-0.24166154592351555,
-0.8737487988534467
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 173 |
175dd49c484ef3d5fa3bd6c9677b2e54 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 3}, {"weight": 19, "source": 1, "target": 7}, {"weight": 10, "source": 2, "tar... | {"states": [215, 214], "expectation_value": -70.81432186043398, "params": [0.2864, 0.7655000000000001, 1.609, 0.007200000000000001, 1.6108, 0.20090000000000002, 0.4869, 0.5373, 1.6188, 0.3148, 0.20020000000000002, 0.7289, 1.6006, -0.001, 1.6113000000000002, 0.1953, 0.8331000000000001, 0.5674, 0.29150000000000004, 0.004... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 18.5 * Z(2) ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.5, "smallest_bitstrings": ["100101001"], "largest_eigenvalue": 163.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.012702872726867235) q[0];
rz(0.7261500482432468) q[0];
rx(1.708594509649015) q[1];
rz(0.12597962376736144) q[1];
rx(1.7733981518856725) q[2];
rz(-0.02277223671017986) q[2];
rx(0.06529158846150054) q[3];
rz(0.533931610746281) q[3];
rx(1.7309825126937453) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIZZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZZIIIIII",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
18.5,
3.5,
10,
5,
14.5,
16.5,
2.5,
16,
14
] | 0.970119 | [
0.012702872726867237,
0.6846830848096259,
1.708594509649015,
0.12597962376736144,
1.7733981518856725,
-0.02277223671017986,
0.06529158846150054,
0.533931610746281,
1.7309825126937453,
0.43134552008146615,
-0.061856389290952205,
0.7298563498538823,
1.7726504492361108,
0.0006008827544663614,... | {
"n_parameters": 53,
"n_qubits": 9,
"optimal_eigenvalue": -77.5,
"target_ratio": 0.97,
"target_value": -75.175
} | 10 |
0988170eca7455426f8605d49fd90d71 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [231, 199], "expectation_value": -57.22556065720144, "params": [[[1.5722, 1.5674000000000001], [-0.5615, 1.5742], [-1.3562, 1.5428000000000002], [2.1032, 1.431], [1.5354, -0.10200000000000001], [0.5613, -0.0776], [-0.9878, 0.9039], [1.5679, 1.5683], [1.5737, 0.2802], [1.5739, 1.5729]]], "bitstrings": ["11000... | 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(0) @ Z(3)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(8) @ Z(6)) + 6.5 * (Z(9) @ Z(3)) + 6.5 * (Z(9) @ Z(0)) + 6.5 * (Z(9) @ Z(7)) + 10.0 * Z(2) + 0.5 * Z(1) + 4.0 * Z... | 15 | 10 | 1 | {"smallest_eigenvalues": [-116.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -112.5, "smallest_bitstrings": ["1100111000"], "largest_eigenvalue": 206.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.5968323395180575) q[0];
ry(-0.019424247406135325) q[1];
ry(-3.20754091889994) q[2];
ry(3.1261430754312807) q[3];
ry(0.03687486211087304) q[4];
ry(0.005999972765861061) q[5];
ry(-0.8187632859343463) q[6];
ry(1.8742274647917245) q[7];
ry(1.6354088189557243) q[8];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIZIIZ",
"IIZIIIZIII",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IZIIIIIIZI",
"IZZIIIIIII",
"IZIZIIIIII",
"ZIIIIIZIII",
"ZIIIIIIIIZ",
"ZIZIIIIIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIIIIIIZ",
"IIZIIIIIII",
"IIIZIIIIII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
10,
0.5,
4,
22.5,
11.5,
29.5,
3,
16.5,
13.5,
-11
] | 0.97292 | [
1.5968323395180575,
-0.019424247406135325,
-3.20754091889994,
3.1261430754312807,
0.03687486211087304,
0.005999972765861061,
-0.8187632859343463,
1.8742274647917245,
1.6354088189557243,
1.6643918859007738,
0.9543743172433794,
0.8970736498989397,
-0.00398766587413125,
-0.03792102689791805,
... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -116.5,
"target_ratio": 0.97,
"target_value": -113.005
} | 120 |
d30c0386d8d3b385abfc19e03f7b5ca3 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [14, 13], "expectation_value": -4.496464044051204, "params": null, "bitstrings": ["110001", "110010"], "total_optimization_steps": 25, "probabilities": [0.06634810230018152, 0.9303665171788271], "optimization_time": 21.70186495780945} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["110001", "110010"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.02172569596093698) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.02172569596093698) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.02172569596093698) q[2];
cx q[0], q[2];
rz(1.736499027868886) q[2];
rx(-1.6454317969910583) q[2];
h q[3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"ZIIIZI",
"ZIIIIZ",
"IZIIZI",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-0.5,
-0.5,
-1,
-0.5
] | 0.988948 | [
-0.02172569596093698,
-1.632171019885014,
-1.5273591642926907,
1.736499027868886,
-1.63086528192634,
-1.6454317969910583
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 32 |
d6a0416211a923ad5745888e36470119 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target":... | {"states": [247, 511], "expectation_value": -16.43826434541405, "params": null, "bitstrings": ["100001000", "000000000"], "total_optimization_steps": 100, "probabilities": [0.10506150461807016, 0.40378563849672644], "optimization_time": 176.15350937843323} | -2.0 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + -2.0 * (Z(5) @ Z(0)) + -2.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(3)) + -2.0 ... | 5 | 9 | 1 | {"smallest_eigenvalues": [-21.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["000000000"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.9569136646013533) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.1844350780294243) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(0.5813071740482846) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.1844350780... | null | {"node": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5708) q[1], 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... | [
"IIIIIIZIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIZIIIZI",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIZIZIII",
"IIIIIZIZI",
"IIIIZIZII",
"IIIZZIIII",
"IIIIZIIZI",
"IIIIZZIII",
"IZZIIIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIIIIZI",
"... | [
-2,
0.5,
-2,
-2.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-2.5,
0.5,
0.5,
-2,
-2,
-2,
-1.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
1
] | 0.584934 | [
0.9569136646013533,
0.1844350780294243,
0.5813071740482846,
0.6654976616408042,
0.0035534887737996546,
0.9669021796980994
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -21,
"target_ratio": 0.97,
"target_value": -20.37
} | 159 |
9645644fcb46d75a104e4de81b9201a7 | 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": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [106, 43], "expectation_value": -4.244391983267604, "params": null, "bitstrings": ["0010101", "1010100"], "total_optimization_steps": 28, "probabilities": [0.0019201550878499567, 0.9963308260200148], "optimization_time": 20.04091477394104} | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(6) + 1.0 * Z(3) + -0.75 * Z(1) + -0.75 * Z(4) + 0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.25, "smallest_bitstrings": ["1111110", "1111100", "1010100"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.5968952478819238) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-0.06171327633547268) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(-0.415918497861762) q[1];
cx q[3], q[1];
h q[4];
cx q[2], q[4];
rz(-0.06171327633547268) q[4];
cx q... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5681) 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", "... | [
"IIIIZIZ",
"ZIIIIIZ",
"IIIZZII",
"IIIZIZI",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII"
] | [
-0.25,
0.5,
-0.5,
-0.75,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
0.5,
1,
-0.75,
-0.75,
0.5
] | 0.926178 | [
-0.5968952478819238,
0.4526712559046789,
-0.06171327633547268,
-0.415918497861762,
-0.6502010492922798,
-1.6181973367743598,
-0.8278971628393553,
0.9201213440736843,
-0.14848852993025277,
-1.0885472675907426,
-0.6577968816211469,
-1.0712293365854164
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 324 |
7bc4dde9a09d0b94c5097b219891d81a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 2}]} | {"states": [10, 3], "expectation_value": -1.9737567129598177, "params": null, "bitstrings": ["0101", "1100"], "total_optimization_steps": 13, "probabilities": [0.07348052951458199, 0.9007122774707554], "optimization_time": 4.351072072982788} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + 0.0 * Z(2) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1100", "0101"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rz(-0.8856201491506983) q[0];
ry(0.20607187143120437) q[0];
rz(1.691443220073766) q[0];
rz(1.9404906187072166) q[1];
ry(0.12101153113441158) q[1];
rz(-1.8772538795087437) q[1];
rz(-2.137783534785648) q[2];
ry(0.08595900488246716) q[2];
rz(1.6840356586029337) q[2];
rz(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5681) q[1];\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];\... | [
"IIZZ",
"ZIZI",
"ZIIZ",
"IZZI",
"IIZI",
"IIIZ",
"ZIII",
"IZII"
] | [
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
0
] | 0.987235 | [
0.11953274834359354,
0.2854334628168601,
-0.11213716823678,
0.2175735915324961,
0.058537607426864216,
-0.2041489905535785,
1.195421164250731,
-0.0853700569336958,
0.21361350790414543,
0.08320735516977537,
-0.038044942888873196,
-0.02371278444846299,
-0.1628380576660834,
0.9476996835334291,... | {
"n_parameters": 22,
"n_qubits": 4,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 5 |
726a5ae01318539d56f80c3be6bbd791 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [44, 18], "expectation_value": -0.3650134285895975, "params": [[-0.07390000000000001], [0.0762]], "bitstrings": ["010011", "101101"], "total_optimization_steps": 10, "probabilities": [0.017722214123080515, 0.01818971691545844], "optimization_time": 1.3228294849395752} | 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(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z... | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["011011", "101101", "111010", "110011"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.26735938862423486) q[0];
rz(0.10893230624247693) q[0];
ry(0.1491965529302104) q[1];
ry(0.1605882734467805) q[2];
ry(0.5179101632285602) q[3];
ry(0.44091074970939437) q[4];
ry(0.20939928831505905) q[5];
ry(1.2941176658595661) q[6];
ry(0.9604711128290605) q[7];
ry(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-0.5
] | 0.97497 | [
0.26735938862423486,
0.1491965529302104,
0.1605882734467805,
0.5179101632285602,
0.44091074970939437,
0.20939928831505905,
1.2941176658595661,
0.9604711128290605,
-0.3821283109988437,
1.7024078434950567,
0.054818503108896285,
0.21786461248495387,
-0.7416832374606571,
-0.39822474854642687,
... | {
"n_parameters": 126,
"n_qubits": 11,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 62 |
006a6b3bb7f441a393d4e8c64600f53a | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 5}, {"weight": 18, "source": 1, "target": 7}, {"weight": 11, "sour... | {"states": [237, 236], "expectation_value": -33.12370723933299, "params": null, "bitstrings": ["100010010", "100010011"], "total_optimization_steps": 100, "probabilities": [0.08923281000037012, 0.21542681407916212], "optimization_time": 162.72096633911133} | 5.0 * (Z(0) @ 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(5)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(2)) + 9.0 * Z(1) + 10.0 * Z(0) + 14.0 * Z(2) + 10.5 * Z(3) + 11.0 * Z(5) + 5.0 * Z(4... | 1 | 9 | 1 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 126.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(1.5509143005851664) q[0];
h q[1];
ry(-0.0008923678712956934) q[1];
ry(-1.1341270075934007) q[2];
rz(-pi) q[2];
ry(-2.2157268226742404) q[3];
rz(-pi) q[3];
h q[4];
ry(-2.202513153730403) q[5];
rz(-pi) q[5];
rz(-pi) q[6];
ry(-0.5518654537863001) q[6];
cx q[0], ... | null | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(22.4081) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZZIIII",
"IIZIIZIII",
"IIZZIIIII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIZIIIII",
"ZIIIIIZII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
9,
10,
14,
10.5,
11,
5,
11.5,
5,
-4.5
] | 0.972989 | [
23.1679383573267,
56.07674323427819,
1.5509143005851664,
-13.14203484824101,
62.596857187415345,
22.038746135319627,
14.299796036991223,
3.056267104380298,
0.6348494733891619,
-0.7843604373980249,
-0.0008923678712956934,
0.05941640454162098,
-0.3990920341865295,
-0.07340301644875229,
-0.... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -65.5,
"target_ratio": 0.97,
"target_value": -63.535
} | 82 |
cde6b48ed870286595c1455af7aff8bd | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}]} | {"states": [61051, 60795], "expectation_value": -19.772994460740257, "params": null, "bitstrings": ["0001000110000100", "0001001010000100"], "total_optimization_steps": 100, "probabilities": [0.0422151246403947, 0.700429827740859], "optimization_time": 1424.7151935100555} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(2)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(... | 1 | 16 | 1 | {"smallest_eigenvalues": [-20.49999999999988], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.499999999999847, "smallest_bitstrings": ["0001001010000100"], "largest_eigenvalue": 69.5000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 0}]}} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\nry(1.5577) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3... | [
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIIIIZII",
"IIIIIIIIZIIIIIIZ",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZZIIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
... | 0.989 | [
1.5946656311860272,
1.4546236341953724,
-1.3915392123108226,
-1.043543998175015,
-0.7696115407594695,
0.5858465026550362,
0.5980335866172003,
-0.5311148471859957,
0.6361651825545125,
-0.4145474599646862,
-0.39359418429255133,
-0.3850745616697103,
-0.5256664875247946,
-0.3291045904565906,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 1 |
-1020667514739603365 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[10, 6], [3, 4], [5, 7], [1, 2, 5, 6], [4, 5], [1, 10, 3], [2, 4, 7], [9, 5], [0, 9], [8, 9]]} | {"states": [858, 602], "expectation_value": -3.8783480630390796, "params": [[[-0.0022, 0.006500000000000001, 0.0089, 0.0068000000000000005], [1.0481, 0.0021000000000000003, 1.0506, 0.0097], [1.5379, 0.001, 0.0066, 0.006], [0.0608, -0.0279, 0.0039000000000000003, 0.0035], [3.1397, 0.0017000000000000001, 0.00900000000000... | 0.5 * (Z(10) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(10)) + 0.5 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.08333333333333333 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(10)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0... | 12 | 11 | 1 | {"smallest_eigenvalues": [-4.000000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["10110100101"], "largest_eigenvalue": 6.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.08668708109459713) q[0];
rz(-0.314390424050025) q[0];
ry(0.9782833353423964) q[1];
rz(0.12199177316943047) q[1];
cz q[1], q[0];
ry(2.1194568841955683) q[1];
ry(1.1906584209193045) q[2];
rz(0.2802764065221334) q[2];
ry(0.07445216485785962) q[3];
rz(-0.2092761773541... | OPENQASM 3.0;
include "stdgates.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": []} | [
"ZIIIZIIIIII",
"ZIIIIIIZIII",
"IIIIIIZZIII",
"IIIIZZIIIII",
"IIIIIZZIIII",
"IIIZIIZIIII",
"IIIZIZIIIII",
"IIIIZIIIIZI",
"ZIIIIIIIIZI",
"IIIIIIIZIZI",
"IIIIIZIIIZI",
"IIIIZIIIZII",
"IIIIIIZIZII",
"IIIIIZIIZII",
"IIIZIIIIZII",
"IIIIIIIIZZI",
"IZIIIZIIIII",
"IZIIIIIIIIZ",
"IZZIIIIII... | [
0.5,
0.16666666666666666,
0.5,
0.08333333333333333,
0.5,
0.16666666666666666,
0.5,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.5,
0.5,
... | 0.974494 | [
0.08668708109459713,
-0.314390424050025,
0.9782833353423964,
0.12199177316943047,
1.1906584209193045,
0.2802764065221334,
0.07445216485785962,
-0.20927617735414,
3.107780082866269,
-0.16814619546366316,
-0.059321435004586205,
-1.099860733833082,
0.0038452525294359607,
1.2599505650421867,
... | {
"n_parameters": 27,
"n_qubits": 11,
"optimal_eigenvalue": -4.000000000000001,
"target_ratio": 0.97,
"target_value": -3.880000000000001
} | 14 |
93141c357d164fcf2a36ba666f8f01e3 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}]} | {"states": [1, 8], "expectation_value": -3.947597544561094, "params": [[0.08080000000000001, 0.06420000000000001], [-0.08710000000000001, -0.0678]], "bitstrings": ["1110", "0111"], "total_optimization_steps": 10, "probabilities": [0.11038497503788673, 0.1103849750378868], "optimization_time": 3.0454938411712646} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + -4.75 * Z(1) + -4.5 * Z(0) + -4.75 * Z(2) + -4.5 * Z(3) | 16 | 4 | 2 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1110", "0111"], "largest_eigenvalue": 29.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1714898456555271) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.1714898456555271) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1714898456555271) q[1];
cx q[1], q[0];
rz(-0.24938667349607663) q[0];
cx q[1], q[0];
cx q[2], q[1];
h q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
1.75,
-4.75,
-4.5,
-4.75,
-4.5
] | 0.525188 | [
0.1714898456555271,
-0.24938667349607663,
1.1176635259891476,
0.8103834446690221,
-0.7718739166458187
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 163 |
8f7a38bd0803f4ffee0480e6c5e7d5af | 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": 3, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 4}, {"weight": 10, "source": 2, "target": 3}, {"weight": 1, "source... | {"states": [161, 165], "expectation_value": -71.2367424516548, "params": [[[-0.0024000000000000002, 1.5268000000000002], [1.5749, 0.0027], [-0.0026000000000000003, 1.5515], [1.5715000000000001, -0.0021000000000000003], [0.2232, -0.9426], [-0.0026000000000000003, 1.2087], [0.8698, -0.1618], [-0.003, -1.1561000000000001]... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(8) @ Z(7)) + 3.5 * Z(1) +... | 1 | 9 | 2 | {"smallest_eigenvalues": [-75.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["101011010"], "largest_eigenvalue": 106.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-0.7600281738903858) q[0];
ry(0.13344599662543902) q[0];
rz(2.3952973998644413) q[0];
rz(1.5588391820373095) q[1];
ry(3.0075324937494496) q[1];
rz(-1.4080183118780778) q[1];
rz(-0.8207696293373541) q[2];
ry(0.08393669177760153) q[2];
rz(2.123795970113706) q[2];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIZIII",
"IIZIZIIII",
"IZIIIZIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
3.5,
-6.5,
14.5,
6,
-4.5,
4,
-1,
2,
-15
] | 0.985228 | [
-0.0966900472631925,
1.6168600086886284,
1.467152149836406,
-0.0015988812340055752,
-0.057330419074048386,
1.498413314213102,
1.3984099572464077,
-0.04417116280616887,
0.11209012508216669,
-1.0551543269286237,
1.1036258841301598,
1.2996275499686418,
-0.13983014425109186,
0.0407915983500385... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -75,
"target_ratio": 0.97,
"target_value": -72.75
} | 5 |
833c89e8aca800e5707fb47ea63f9088 | 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": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [43, 46], "expectation_value": -3.499883694175416, "params": null, "bitstrings": ["010100", "010001"], "total_optimization_steps": 23, "probabilities": [1.6349291399876233e-05, 0.9999151802438232], "optimization_time": 15.457348585128784} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["010001"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(-0.06213685427517941) q[0];
rz(0.3900229257122323) q[0];
rx(-0.05273946885872852) q[1];
rz(0.8212831248228313) q[1];
rx(1.5337574379224534) q[2];
rz(0.18090279389762448) q[2];
rx(-0.062136854275179405) q[3];
rz(-0.7491475642969406) q[3];
rx(-0.062136854275179405) q[4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IZIIZI",
"ZIIIZI",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
0,
-1,
0,
0
] | 0.980175 | [
-0.062136854275179405,
0.5639668344247326,
-0.05273946885872852,
0.8212831248228313,
1.5337574379224534,
0.18090279389762448,
-0.7491475642969406,
0.5294660297481446,
-0.3478878174250011,
0.3529348580960014,
-0.022087508376134993,
-0.4435758830602262,
-0.5770407396054762,
-0.16077012495042... | {
"n_parameters": 24,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 6 |
fa12f3a697c97a90a7d75ad197dde7b9 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 5}]} | {"states": [40, 42], "expectation_value": -0.20052877307353711, "params": [[0.0722, 0.0714], [-0.0757, -0.07200000000000001]], "bitstrings": ["010111", "010101"], "total_optimization_steps": 10, "probabilities": [0.018655113718446543, 0.021714851298162606], "optimization_time": 4.417271614074707} | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 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(4) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(2) @ Z(4)) + 0.0 * Z(0) + 0.0 * Z... | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["010101"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(2.135653907332281) q[0];
ry(0.07785783286395775) q[0];
rz(-2.461338086738153) q[0];
rz(2.429152376567284) q[1];
ry(0.2252425377262643) q[1];
rz(-1.0510731615663547) q[1];
rz(-1.956988573421869) q[2];
ry(0.14605112814072668) q[2];
rz(0.30051180833493296) q[2];
rz(-3.0... | 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[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIIIZZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZIIIZ",
"IZZIII",
"IZZIIZ",
"IZIZII",
"ZIIZII",
"ZZIIII",
"ZZIZII",
"IIIIIZ",
"IIIZII",
"IIIIZI",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
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,
0,
-0.75,
-0.75,
0,
-0.75
] | 0.977057 | [
0.23599177523086315,
-0.24128829019517117,
0.08672641127394859,
0.5641813210321281,
0.02724449539707903,
-0.3809606943817887,
0.9600172844814231,
0.10376398558997606,
0.9072997747415072,
-0.031882398092854744,
0.9283660285539568,
-0.18778968286556685,
-0.0006073131649154268,
-0.03282407204... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 26 |
fa12f3a697c97a90a7d75ad197dde7b9 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 5}]} | {"states": [13, 49], "expectation_value": -0.3611666286092279, "params": [[-0.004200000000000001, -0.0597, -0.0533, -0.014100000000000001], [-0.0734, 0.0524, 0.0661, 0.0429]], "bitstrings": ["110010", "001110"], "total_optimization_steps": 10, "probabilities": [0.020958024680626495, 0.0209580246806265], "optimization_t... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["001110", "101001", "101010", "110010"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(2.135653907332281) q[0];
ry(0.07785783286395775) q[0];
rz(-2.461338086738153) q[0];
rz(2.429152376567284) q[1];
ry(0.2252425377262643) q[1];
rz(-1.0510731615663547) q[1];
rz(-1.956988573421869) q[2];
ry(0.14605112814072668) q[2];
rz(0.30051180833493296) q[2];
rz(-3.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"IIZIIZ",
"IIIZZI",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIZIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
0,
0,
0
] | 0.977057 | [
0.23599177523086315,
-0.24128829019517117,
0.08672641127394859,
0.5641813210321281,
0.02724449539707903,
-0.3809606943817887,
0.9600172844814231,
0.10376398558997606,
0.9072997747415072,
-0.031882398092854744,
0.9283660285539568,
-0.18778968286556685,
-0.0006073131649154268,
-0.03282407204... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 26 |
b4844a241e7c75ea7eb690acd3c4c004 | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [349, 413], "expectation_value": -5.169930610951368, "params": null, "bitstrings": ["010100010", "001100010"], "total_optimization_steps": 54, "probabilities": [0.026413325143174803, 0.9199483870407077], "optimization_time": 61.10351753234863} | 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 ... | 1 | 9 | 4 | {"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": ["001010100", "001100010", "100001010", "010001100", "010100001", "100010001"], "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];
| null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"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 |
a145449c5913a1392d811f2ccc6af5aa | 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": -0.026148130087939616, "params": [[-0.08510000000000001], [0.0781]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 10, "probabilities": [1.6949749862505422e-05, 1.6949749862505422e-05], "optimization_time": 21.79401159286499} | 0.25 * (Z(0) @ Z(1)) + -0.0006714876033057851 * (Z(2) @ Z(0)) + -0.0006714876033057851 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0005165289256198348 * (Z(4) @ Z(0)) + -0.0005165289256198348 * (Z(4) @ Z(2)) + -0.0005165289256198348 * (Z(5) @ Z(1)) + -0.0005165289256198348 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.0231404958677355], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0231404958677013, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.0092975206609904} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(1.0447966557957313) q[0];
rz(0.07131423416667737) q[0];
ry(0.662644638222067) q[1];
ry(0.8185137027801855) q[2];
ry(-0.051136446580891164) q[3];
ry(-1.0371650388098332) q[4];
ry(0.6025664805427163) q[5];
ry(0.6151331597724534) q[6];
ry(-0.1448694802391766) q[7];
ry(... | 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,
-0.0006714876033057851,
-0.0006714876033057851,
0.25,
-0.0005165289256198348,
-0.0005165289256198348,
-0.0005165289256198348,
-0.0005165289256198348,
0.25,
-0.0006714876033057851,
-0.0006714876033057851,
-0.0005165289256198348,
-0.0006714876033057851,
-0.0006714876033057851,
-0.000... | 0.979863 | [
1.0447966557957313,
0.662644638222067,
0.8185137027801855,
-0.051136446580891164,
-1.0371650388098332,
0.6025664805427163,
0.6151331597724534,
-0.1448694802391766,
-0.014179578177504175,
0.8156568204305812,
-0.03050633494376635,
0.6498597396482383,
0.06694987679109128,
0.760685844686245,
... | {
"n_parameters": 124,
"n_qubits": 16,
"optimal_eigenvalue": -2.0231404958677466,
"target_ratio": 0.97,
"target_value": -1.962446280991714
} | 1 |
6c28370939b7d49c2e67d552301e0191 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 12, "source": 1, "target": 4}, {"weight": 12, "source": 1, "tar... | {"states": [238, 236], "expectation_value": -65.1401854667054, "params": [0.2932, 0.31220000000000003, 0.7863, -0.0045000000000000005, 0.7909, -0.0004, 0.7863, 0.0349, 0.29510000000000003, 0.3104, 0.7908000000000001, 0.0067, 0.7928000000000001, -0.0776, 0.3687, -0.1822, 0.1371, 0.337, 0.2846, 0.3121, 0.7937000000000001... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(3)) + 5.5 * Z(1) +... | 18 | 9 | 4 | {"smallest_eigenvalues": [-75.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 153.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.18259604204203672) q[0];
rz(0.08060485615533963) q[0];
rx(0.6891006369177235) q[1];
rz(0.00017102855127421046) q[1];
rx(0.7562714054488282) q[2];
rz(-0.3404311286624009) q[2];
rx(0.6891006369177235) q[3];
rz(0.02128917638359139) q[3];
rx(0.06667048808959333) 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",
"IIIIIZIIZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIIZII",
"IIZZIIIII",
"IIZIZIIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"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,
5.5,
6.5,
10.5,
19.5,
15.5,
4.5,
18.5,
8.5,
1.5
] | 0.971363 | [
-0.18259604204203672,
0.2641521549594251,
0.6891006369177235,
0.00017102855127421046,
0.7562714054488282,
-0.3404311286624009,
0.02128917638359139,
0.06667048808959333,
0.37381510054334915,
0.8766187768053243,
-0.20332760614996834,
0.6899310805468107,
0.18365228317182203,
0.151142600961424... | {
"n_parameters": 99,
"n_qubits": 9,
"optimal_eigenvalue": -75.5,
"target_ratio": 0.97,
"target_value": -73.235
} | 13 |
5964534709385774514 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 3], [5, 6], [1, 4], [0, 4], [1, 6], [3, 6], [2, 6], [4, 6], [0, 2], [1, 2]]} | {"states": [106, 30], "expectation_value": -2.684521846778406, "params": null, "bitstrings": ["0010101", "1100001"], "total_optimization_steps": 55, "probabilities": [0.035972033988448, 0.6023382401694536], "optimization_time": 59.96176719665527} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["0011110", "1100001"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.5888175331008385) q[0];
cx q[3], q[0];
h q[4];
cx q[0], q[4];
rz(0.5888175331008385) q[4];
cx q[0], q[4];
cx q[0], q[2];
rz(0.5888175331008385) q[2];
cx q[0], q[2];
rx(-0.7172775096423168) q[0];
h q[5];
h q[6];
cx q[3]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[4], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IIIZIIZ",
"ZIIZIII",
"ZZIIIII",
"ZIIIIZI",
"IIZIIIZ",
"ZIZIIII",
"IIZIIZI",
"IIIIZIZ",
"ZIIIZII",
"IIIIZZI",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IZIIIII",
"IIIIIZI",
"IIZIIII",
"IIIIZII"
] | [
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
] | 0.404295 | [
0.5888175331008385,
1.0702101505743568e-12,
-0.7172775096423168
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 90 |
7dd0a85ae083861a7e6473750beb50c4 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [38, 25], "expectation_value": -1.043473750980088, "params": [[-0.062, -0.0502, -0.0654], [0.0748, 0.0669, 0.07010000000000001]], "bitstrings": ["1011001", "1100110"], "total_optimization_steps": 10, "probabilities": [0.013565865288940764, 0.014184068105121649], "optimization_time": 4.850590467453003} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1101100", "1100110", "1011001", "1111000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-3.113092417247212) q[0];
rz(0.4880866999982407) q[0];
rx(0.38465931902777295) q[1];
rz(0.20065546137673845) q[1];
cx q[1], q[0];
rz(-0.055866517219434) q[0];
cx q[1], q[0];
rz(-0.007223024598085756) q[1];
rx(-3.0800478140916203) q[2];
rz(-0.1321662875450258) 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] 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": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIIZ",
"IZIIIIZ",
"IZIZIII",
"ZIIIIZI",
"ZIIIIIZ",
"IIZIZII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-2,
-1,
-1,
-0.5,
-0.5,
-0.5
] | 0.976959 | [
3.170092889932375,
0.4322201827788072,
0.38465931902777295,
0.20065546137673845,
3.2031374930879664,
-0.23249401823339577,
2.9439076566432285,
0.4119475223097899,
3.0429737068572065,
0.5317571013857584,
3.2364125851665366,
-0.6315713390951732,
0.1757618025061331,
-0.09015087172883156,
-0... | {
"n_parameters": 25,
"n_qubits": 10,
"optimal_eigenvalue": -3.3125,
"target_ratio": 0.97,
"target_value": -3.213125
} | 14 |
-3005684279554035216 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3, 4, 5], [0, 1, 2, 3, 5, 6], [1, 3, 4, 5], [1, 2, 4, 7], [0, 1, 2, 5, 6, 7], [4, 6], [1, 2, 3, 5, 6, 7], [0, 2, 4, 7], [1, 2, 3, 4], [1, 3, 4, 7]]} | {"states": [215, 243], "expectation_value": -1.3785226797414876, "params": [[0.36510000000000004], [-0.3609]], "bitstrings": ["00101000", "00001100"], "total_optimization_steps": 40, "probabilities": [0.012508424344031602, 0.012841912319639284], "optimization_time": 4.115431547164917} | 0.2 * (Z(0) @ Z(2)) + 0.2 * (Z(3) @ Z(2)) + 0.08333333333333334 * (Z(3) @ Z(0)) + 0.3 * (Z(4) @ Z(2)) + 0.13333333333333333 * (Z(4) @ Z(0)) + 0.3 * (Z(4) @ Z(3)) + 0.15 * (Z(5) @ Z(2)) + 0.11666666666666667 * (Z(5) @ Z(0)) + 0.2 * (Z(5) @ Z(3)) + 0.13333333333333333 * (Z(5) @ Z(4)) + 0.26666666666666666 * (Z(1) @ Z(2))... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.366666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3666666666666667, "smallest_bitstrings": ["00001100"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.10342839914746993) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.10342839914746993) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.014196700961583776) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(0.1085209884255258) q[4];
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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IIIZIZII",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIZII",
"IIZIIIIZ",
"IIZIZIII",
"IIZZIIII",
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZIZI",
"IIIZIIZI",
"IIZIIIZI",
"IZIIIZII",
"IZIIIIIZ",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"IZIIIIZI",
"ZIIIIZII",
"ZIIIIII... | [
0.2,
0.2,
0.08333333333333334,
0.3,
0.13333333333333333,
0.3,
0.15,
0.11666666666666667,
0.2,
0.13333333333333333,
0.26666666666666666,
0.06666666666666667,
0.31666666666666665,
0.3333333333333333,
0.18333333333333332,
0.1,
0.06666666666666667,
0.06666666666666667,
0.5,
0.1,
... | 0.823578 | [
0.10342839914746993,
0.014196700961583776,
0.1085209884255258,
0.10414826821775133,
0.1341332756222066,
0.009829481190107417,
0.8000173437015714,
-0.0465171498269699,
0.15753804994497805,
0.28247725623010206,
0.08792677576822808,
-0.2552789297018686,
1.5430306200623667,
0.12770074556328811... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -2.366666666666667,
"target_ratio": 0.97,
"target_value": -2.295666666666667
} | 428 |
1735102314025486566 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 4], [0, 1], [0, 2], [1, 3]]} | {"states": [7, 13], "expectation_value": -1.7576928662994087, "params": null, "bitstrings": ["11000", "10010"], "total_optimization_steps": 27, "probabilities": [0.05733923162979708, 0.8271342482087165], "optimization_time": 14.931879043579102} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["10010", "01101"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.8840200948261884) q[0];
cx q[4], q[0];
cx q[0], q[1];
rz(-0.8840200948261884) q[1];
cx q[0], q[1];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.8840200948261884) q[2];
cx q[0], q[2];
rz(-2.457715897463686e-08) q[0];
rx... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.0342) q[4], 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... | [
"ZIIIZ",
"IIIZZ",
"IIZIZ",
"IZIZI",
"ZIIII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.52914 | [
-0.8840200948261884,
-2.4577159159931603e-8,
0.7853980956785886
] | {
"n_parameters": 3,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 89 |
267f594e5cb21532a1a860c7d4e0717d | 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": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [25, 27], "expectation_value": -2.853049592815063, "params": [-0.006, 0.1525, -0.0044, 0.14550000000000002, 0.0601, 0.1332, 0.060200000000000004, 0.1241, 0.30010000000000003, -0.0745, 0.2992, 0.0078000000000000005, 0.2968, -0.0669, 0.2997, -0.040600000000000004, 0.0604, 0.12890000000000001, 0.060700000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.5 * Z(0) + 0.0 * Z(2) + -1.0 * Z(4) + 0.0 * Z(6) + -0.5 * Z(3) + -0.5 * Z(5) | 5 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100100", "1001010"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.24748745819808826) q[0];
rz(-0.17713756506993983) q[0];
rx(-0.1790047299186118) q[1];
rz(0.10654864048877083) q[1];
cx q[1], q[0];
rz(0.011708463917440626) q[0];
cx q[1], q[0];
rz(1.4748675647452902) q[0];
ry(1.210001108655402) q[0];
rz(-1.8286665049021005) q[0];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input fl... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIIZ",
"ZIIIIIZ",
"IIIZIZI",
"IIZZIII",
"IZIIIZI",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
0,
-1,
0,
-0.5,
-0.5
] | 0.970926 | [
0.2474874581980883,
-0.1654291011524992,
-0.1790047299186118,
0.10654864048877083,
0.6162612157337666,
0.002052278197618773,
-0.04559442540123893,
0.3771343868759495,
0.43625683568421697,
0.17681883646965665,
0.0163352835731005,
-0.04645655951074808,
-0.033049571212274566,
0.22684970955432... | {
"n_parameters": 138,
"n_qubits": 8,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 9 |
e2466d0e59f9ae9b15e99011693e125f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [80, 82], "expectation_value": -4.571935340393883, "params": null, "bitstrings": ["0101111", "0101101"], "total_optimization_steps": 36, "probabilities": [0.13263655759363732, 0.6774959132700998], "optimization_time": 44.749932289123535} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(6) + 0.0 * Z(0) + -1.5 * Z(1) + -1.0 * Z(2) + -1.5 * Z(3) + -1.5 * Z(... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0011011", "0101101"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
rz(-pi) q[1];
ry(-0.01566938174441882) q[1];
h q[2];
h q[3];
ry(-1.382312814660902) q[3];
h q[4];
ry(-0.32749804696590257) q[4];
cx q[2], q[4];
ry(0.32749804696590257) q[4];
cx q[2], q[4];
ry(1.126452676106575) q[2];
ry(-0.8310830393541792) q[4];
ry(-0.626764594... | 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", ... | [
"ZIIIIIZ",
"ZIIIIZI",
"IIIIZZI",
"IIIZIZI",
"IIIZZII",
"ZZIIIII",
"IZIIIZI",
"IZIZIII",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-1.5,
-1,
-1.5,
-1.5,
-1
] | 0.972185 | [
-1.382312814660902,
-1.6193805840722992,
-1.290575397728871,
-0.6549960939318051,
1.126452676106575,
-0.6967689800025078,
0.5341433193132382,
0.24374272147914156,
-0.26862811870334274,
-0.2199899576074521,
0.693087330399002,
2.0516911249923644,
-0.4184533366192725,
-0.1657277228626028,
0... | {
"n_parameters": 23,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 8 |
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