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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
23d7f516666f99afa8f2617a77f204f6 | 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": [1302, 279], "expectation_value": -65.97088975737529, "params": [[[1.5678, 1.5441], [-0.013000000000000001, 1.5505], [1.7796, 1.2569000000000001], [-0.3551, 1.2669000000000001], [0.5442, 0.5236000000000001], [-1.5632000000000001, 1.5685], [1.5676, 1.5678], [1.5677, 1.5686], [1.5685, 1.5676], [1.5695000000000... | 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(6) @ Z(1)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(4) @ Z(10)) + 8.0 * (Z(9) @ Z(10)) + 8.0 * (Z(7) @ Z(10)) + 8.0 * (Z(7) @ Z(9)) + 8.0 * (Z(8) @ Z(10)) + 8.0 * (Z(8) @ Z(9)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * Z(2) + 1.0 * Z(1) + -5.0 * Z(3) + 7.0 * Z(6) + -5.5 * Z(5) + 22.5 * ... | 15 | 11 | 1 | {"smallest_eigenvalues": [-124.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -118.5, "smallest_bitstrings": ["11011101000"], "largest_eigenvalue": 168.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.54432716603468) q[0];
ry(-1.3127250082179016) q[1];
ry(1.6629402548702963) q[2];
ry(-1.5420346844033115) q[3];
ry(1.5028431694646796) q[4];
ry(-1.5583694266492976) q[5];
ry(1.580201459714186) q[6];
ry(1.5165800303294599) q[7];
ry(1.5647101396136371) q[8];
ry(1.622... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIIZZII",
"IIIIZIIIIZI",
"IIIIZZIIIII",
"ZIIIIIZIIII",
"ZZIIIIIIIII",
"ZIIZIIIIIII",
"IZIZIIIIIII",
"ZIZIIIIIIII",
"IZZIIIIIIII",
"IIZZIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIZIIIIII",
"IIIIIZIIIII",
"ZIIIIIIIIII",
"IIIIIIZIIII",
"IZIIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
-5,
7,
-5.5,
22.5,
-4.5,
17.5,
12,
15,
-12.5
] | 0.971311 | [
1.54432716603468,
-1.3127250082179016,
1.6629402548702963,
-1.5420346844033115,
1.5028431694646796,
-1.5583694266492976,
1.580201459714186,
1.5165800303294599,
1.5647101396136371,
1.622340689331239,
1.6410935713060752,
1.557966565535901,
1.5786802931227917,
1.6235154446304936,
1.54105039... | {
"n_parameters": 19,
"n_qubits": 11,
"optimal_eigenvalue": -124.5,
"target_ratio": 0.97,
"target_value": -120.765
} | 42 |
206b6c7126e1a43a7c0a57973e02662d | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 6... | {"states": [119, 183], "expectation_value": -0.6462937985101382, "params": [[0.0454, 0.024900000000000002, 0.023700000000000002, -0.028200000000000003], [-0.056400000000000006, -0.0364, -0.0364, -0.0176]], "bitstrings": ["110001000", "101001000"], "total_optimization_steps": 10, "probabilities": [0.002547502129603724, ... | -0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(8)) + 0.5 ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000100", "101001000", "110001000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.7716469204925558) q[0];
h q[1];
ry(-0.419743548754394) q[1];
h q[2];
cx q[2], q[1];
ry(0.419743548754394) q[1];
cx q[2], q[1];
ry(-0.3394805577791961) q[1];
ry(1.0930006028280734) q[2];
h q[3];
ry(1.59285799405076) q[3];
rz(-pi) q[4];
ry(-3.136526372442517... | OPENQASM 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": []} | [
"IIIZIIIZI",
"IIIIIIZZI",
"IIIZIIZII",
"IIIIZZIII",
"IIIZIIIIZ",
"IZIZIIIII",
"IZIIIIIIZ",
"ZIIZIIIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIZZIIIII",
"IIZIIIIIZ",
"IZZIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IZIIIIIII",
"... | [
-0.5,
0.5,
-0.5,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
0.5,
1,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
-1,
0.5,
1,
1.5,
0,
1.5,
1.5,
-0.5
] | 0.979066 | [
1.59285799405076,
1.5261005232355722,
-1.5432938409851116,
-1.35113857066744,
0.770395955888187,
-0.4800519968211978,
0.6181638241406239,
-0.17087313757605851,
-0.839487097508788,
0.8636913290500219,
-0.6789611155583922,
0.4586185475561028,
-0.41596033641871777,
-0.0189624931872691,
0.18... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 1 |
91fd701868951eab612ba86420778b2e | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [33, 3], "expectation_value": -14.315141270031734, "params": null, "bitstrings": ["011110", "111100"], "total_optimization_steps": 51, "probabilities": [0.10868101364905021, 0.5506785707904625], "optimization_time": 69.87635779380798} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.25 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.25 * (Z(5) @ Z(3)) + 2.5 ... | 11 | 6 | 4 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.6046606131929824) q[0];
rz(-pi) q[0];
ry(-0.2754248126532229) q[1];
rz(-pi) q[1];
ry(-1.397078670391102) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.7131691907790075) q[3];
cx q[3], q[2];
ry(0.10320605458857647) q[2];
cx q[3], q[2];
ry(-0.09157489833333138) q[3];
ry(-0.4233... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-0.0019) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
2.5,
-5.75,
-5.75,
-5.75,
-6.25,
-5.25,
-5.25
] | 0.970876 | [
-0.7131691907790075,
-0.6029729944224574,
-0.9519977999790217,
-0.0705116018152183,
-0.6867474283253041,
-0.7263254383589139,
-0.20641210917715294,
-0.18314979666666276,
1.246074321202835,
-0.16302890953712407,
0.9836842123631419,
-0.8467113254691783,
-0.29282426768644043,
0.51295746069054... | {
"n_parameters": 35,
"n_qubits": 6,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 32 |
7232776649980717804 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 10, 3], [2, 6, 8, 9, 11], [2, 9, 10, 11], [10, 3, 5], [1, 2, 6], [3, 7, 8, 9, 11], [5, 6], [4, 7], [1, 2, 5, 7, 8], [8, 2, 11, 4], [0, 3]]} | {"states": [1997, 1989], "expectation_value": -3.4172059844773894, "params": [-0.0284, 0.0227, 1.5628, 1.5754000000000001, 1.5384, 1.6134000000000002, 1.7566000000000002, 1.3364, 1.5555, 1.3183, 1.3058, 1.7857, -0.015700000000000002, 0.0063, -0.0095, -0.0117, 0.7886000000000001, 0.7629, 1.7767000000000002, 1.3943, 1.74... | 0.16666666666666666 * (Z(1) @ Z(10)) + 0.3333333333333333 * (Z(3) @ Z(10)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(10)) + 0.21666666666666667 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.21666666666666667 * (Z(6) @ Z(2)) + 0.05 * (Z(8) @ Z(1)) + 0.05 * (Z(8) @ Z(3)) + 0.1833... | 14 | 12 | 1 | {"smallest_eigenvalues": [-3.6000000000000005], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5999999999999996, "smallest_bitstrings": ["100000111010"], "largest_eigenvalue": 9.500000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.10005278427760926) q[0];
rz(pi/2) q[0];
ry(1.6160302893622125) q[1];
ry(1.4838561264236907) q[2];
ry(1.8062209035117907) q[3];
ry(1.548837574587104) q[4];
ry(1.2084637476517692) q[5];
ry(-0.05943062675854373) q[6];
ry(-0.2335786077939719) q[7];
ry(0.3672383912656... | OPENQASM 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": []} | [
"IZIIIIIIIIZI",
"IZIIIIIIZIII",
"IIIIIIIIZIZI",
"IZIIIIIIIZII",
"IIIIIIIIIZZI",
"IIIIIZIIIIZI",
"IIIIIZIIIZII",
"IIIZIIIIIIZI",
"IIIZIIIIZIII",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IZZIIIIIIIII",
"IIZIIIIIZIII",
"IIZIIIIIIZII",
"IIZIIZIIIIII",
"IIZZIIIIIIII",
"ZZIIIIIIIIII",
"ZIIIIIIIZ... | [
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.08333333333333333,
0.21666666666666667,
0.16666666666666666,
0.21666666666666667,
0.05,
0.05,
0.18333333333333335,
0.05,
0.08333333333333333,
0.05,
0.13333333333333333,
0.05,
0.1,
0.08333333333333333,
0.05,
0.2166666... | 0.970032 | [
-0.10005278427760926,
1.6160302893622125,
1.4838561264236907,
1.8062209035117907,
1.548837574587104,
1.2084637476517692,
-0.05943062675854373,
-0.2335786077939719,
0.3672383912656737,
1.816619024305616,
1.630282384808547,
1.6170442094058755,
-0.20778589442328027,
0.28456466498523575,
0.4... | {
"n_parameters": 48,
"n_qubits": 12,
"optimal_eigenvalue": -3.6000000000000005,
"target_ratio": 0.97,
"target_value": -3.4920000000000004
} | 14 |
accd60bff41e3d49949f0c9100c4e9c5 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 7}, {"source": 1, "target": 8}, {"sour... | {"states": [214, 86], "expectation_value": -3.8370798311541408, "params": [[[0.12990000000000002, 0.22210000000000002], [0.49250000000000005, 0.0641], [0.6081, 0.0001], [0.16770000000000002, 0.227], [0.6051000000000001, 0.0013000000000000002], [-0.007200000000000001, 0.32270000000000004], [0.6011000000000001, 0.0029000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(8)) + -0.5 * Z(3) + -1.0 * Z(0) + -0.5 * Z(4) + -2.0 * Z(5) + ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.5, "smallest_bitstrings": ["000111011", "010111001", "100101011", "110101001", "111001100", "111001001", "101001011"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-2.413125664215316) q[0];
ry(0.07311247021222364) q[0];
rz(2.9672720762712004) q[0];
rz(0.949713504317172) q[1];
ry(2.7960436370413526) q[1];
rz(-2.23301735392913) q[1];
rz(-1.6625724481943909) q[2];
ry(3.0245189759437885) q[2];
rz(1.657259178567264) q[2];
rz(-1.6428... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IZIZIIIII",
"IZIIIIIZI",
"ZIIIIIIZI",
"IIIIIZZII",
"IIIZIIZII",
"ZIIIIIZII",
"IIZZIIIII",
"ZIZIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"IIIIIIIZI",
"ZIIIIIIII",
"IIIIIIZII",
"IIZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-2,
-0.5,
-0.5,
-1,
-1,
-0.5
] | 0.973017 | [
-0.08225997519118121,
0.09722557860645606,
1.403635141295295,
-0.11792267185287045,
0.9636723889393133,
0.006423533363631592,
0.06479001713147103,
-0.0183819330125456,
1.251237257200902,
-0.03306138040796701,
-0.19825287728185723,
0.2818626806101552,
1.171003270207665,
-0.19748635865803738... | {
"n_parameters": 46,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 28 |
3818ce8f8ec333f1e3cdd221545ea640 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [30, 15], "expectation_value": -4.499863641630135, "params": null, "bitstrings": ["1100001", "1110000"], "total_optimization_steps": 35, "probabilities": [1.6414155984579588e-05, 0.9999120688179377], "optimization_time": 27.044954299926758} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + -0.5 * Z(3) + -1.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(1) + -0.5 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["1110000"], "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(0.2759233039205356) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.2759233039205356) q[2];
cx q[0], q[2];
rz(0.8844402004995073) q[0];
rx(-0.1341396366104166) q[0];
h q[3];
cx q[2], q[3];
rz(0.2759233039205356) q[3];
cx q[2], q[3];
h ... | 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", ... | [
"IIIZIIZ",
"IIZIIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIIZIZI",
"IIZIIZI",
"IZIIZII",
"ZIIIZII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.970097 | [
0.2759233039205356,
-0.42938787334870315,
0.8844402004995082,
-0.8144200522888211,
0.2801413587704371,
-0.8114055882673806,
-0.6665407615679289,
-1.1405939395508837,
-0.13413963661041667,
-0.22536789211031555,
-1.1314300218673012,
0.5384084427806397,
-0.5755834086541328,
0.4727379585036260... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -67,
"target_ratio": 0.97,
"target_value": -64.99
} | 49 |
-8103220920717917465 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4], [0, 1], [2, 4], [1, 5], [0, 6]]} | {"states": [70, 90], "expectation_value": -0.041705783492686346, "params": [[-0.059000000000000004], [0.0718]], "bitstrings": ["0111001", "0100101"], "total_optimization_steps": 10, "probabilities": [0.008481179850860006, 0.008481179850860006], "optimization_time": 0.45316624641418457} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["0111001", "1011010", "0100101", "1000110"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-0.09013907920832127) q[1];
h q[2];
h q[3];
h q[4];
ry(-0.09013907920832127) q[4];
cx q[3], q[4];
ry(0.09013907920832127) q[4];
cx q[3], q[4];
ry(-0.32828417538533905) q[4];
cx q[2], q[4];
ry(0.32828417538533905) q[4];
cx q[2], q[4];
ry(0.530772193397... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[1], q[5];
... | null | {"circuits": [], "gradients": []} | [
"IIZZIII",
"IIIIIZZ",
"IIZIZII",
"IZIIIZI",
"ZIIIIIZ",
"IIZIIII",
"IIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.973179 | [
-0.18027815841664255,
1.5150462185668154,
-0.706414470203178,
1.6501033922076924,
-1.1808454514785505,
0.3193661164071389,
0.012155438351387049,
-0.6565683507706781,
1.0615443867941243,
0.636940108108955,
-0.702052203732011,
-0.2557668350299917,
-1.0088176010217886,
0.12634687828483052,
... | {
"n_parameters": 39,
"n_qubits": 7,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 26 |
-3176444421570319738 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 3, 5, 6, 8], [0, 2, 3, 6], [8, 9, 1], [8, 9, 4], [8, 6, 7], [9, 3, 5], [0, 1, 2, 4, 7, 8], [8, 4, 5], [9, 2, 6], [1, 2, 3, 5, 6, 7]]} | {"states": [957, 829], "expectation_value": -2.2006993891381224, "params": [1.485, 1.4843000000000002, 1.2654, 1.4936, 0.5891000000000001, 0.6357, 0.6326, 0.5775, 1.4865000000000002, 1.4953, 1.3375000000000001, 1.4839, 1.4901, 1.4861, 1.4847000000000001, 1.489, 1.4999, 1.4936, 1.4887000000000001, 1.4814, 1.0565, 1.4933... | 0.06666666666666667 * (Z(0) @ Z(1)) + 0.06666666666666667 * (Z(3) @ Z(1)) + 0.11666666666666667 * (Z(3) @ Z(0)) + 0.06666666666666667 * (Z(5) @ Z(1)) + 0.03333333333333333 * (Z(5) @ Z(0)) + 0.2333333333333333 * (Z(5) @ Z(3)) + 0.06666666666666667 * (Z(6) @ Z(1)) + 0.11666666666666667 * (Z(6) @ Z(0)) + 0.15 * (Z(6) @ Z(... | 14 | 10 | 1 | {"smallest_eigenvalues": [-2.7666666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5666666666666673, "smallest_bitstrings": ["0011000010"], "largest_eigenvalue": 9.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.5776139030731138) q[0];
rz(pi/2) q[0];
ry(1.7472709360382577) q[1];
ry(0.06423312623549743) q[2];
ry(0.216977966972084) q[3];
ry(1.3575011286977428) q[4];
ry(1.3893495929922437) q[5];
ry(1.3908989087911225) q[6];
ry(1.4291909873854236) q[7];
ry(1.656181394286292) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIZIII",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZIIZIII",
"IIIZZIIIII",
"IZIIIIIIZI",
"IZIIIIIIIZ",
"IZIIIIZIII",
"IZIIZIIIII",
"IZIZIIIIII",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIZIIZII",
"IIIZIIIZII"... | [
0.06666666666666667,
0.06666666666666667,
0.11666666666666667,
0.06666666666666667,
0.03333333333333333,
0.2333333333333333,
0.06666666666666667,
0.11666666666666667,
0.15,
0.06666666666666667,
0.2333333333333333,
0.06666666666666667,
0.03333333333333333,
0.19999999999999998,
0.199999999... | 0.972886 | [
1.5776139030731138,
1.7472709360382577,
0.06423312623549743,
0.216977966972084,
1.3575011286977428,
1.3893495929922437,
1.3908989087911225,
1.4291909873854236,
1.656181394286292,
1.902914790133037,
0.4332762095731125,
0.2453839039639248,
0.25419408212061506,
0.3509132883229267,
1.1663674... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -2.7666666666666666,
"target_ratio": 0.97,
"target_value": -2.6836666666666664
} | 34 |
13897d244e0881b4447dd2a9a298bf14 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [193, 201], "expectation_value": -2.364309933465805, "params": [1.3003, 1.296, 1.3002, 1.2995, -0.0013000000000000002, -0.0027, 0.1413, 0.1602, 0.797, 0.8087000000000001, -0.0159, -0.015000000000000001, 0.15180000000000002, 0.3957, 1.2825, 1.2753, 0.8974000000000001, 0.0354, 0.5343, 0.5385, 0.0022, 0.4569000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(6)) + -0.25 *... | 14 | 8 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.25, "smallest_bitstrings": ["10101001", "10100110", "00110011", "00110110", "00111001"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.030727019186459183) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.030727019186459183) q[1];
cx q[2], q[1];
rz(-1.5882059243987203) q[2];
rx(1.5243136193984859) q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.030727019186459183) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIZZZIII",
"IIIIZIIZ",
"IZIZIIII",
"IZIIIIZI",
"ZIIIIIZI",
"ZZIIIIII",
"ZZIIIIZI",
"ZIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.25,
0,
-0.75,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25
] | 0.98132 | [
0.030727019186459183,
-1.5882059243987205,
1.700638967703943,
-1.2603176422809077,
1.524313619398486
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 27 |
-8156297579877937853 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4, 6], [4, 5], [1, 4], [1, 2, 3, 5, 6], [0, 1, 2], [0, 6]]} | {"states": [106, 92], "expectation_value": -0.01888417778600603, "params": [[-0.0402], [0.0514]], "bitstrings": ["0010101", "0100011"], "total_optimization_steps": 10, "probabilities": [0.008069903471691479, 0.008078471181859828], "optimization_time": 0.7097094058990479} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.21666666666666667 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.05 * (Z(1) @ Z(3)) + 0.05 * (Z(1) @ Z(6)) + 0.05 * (Z(1) @ Z(5)) + 0.05 * (Z(2) @ Z(3)) + 0.05 * (Z(2) @ Z(6)) + 0... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.1666666666666665, -2.1666666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.033333333333334, "smallest_bitstrings": ["0100011", "1000100"], "largest_eigenvalue": 4.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(-0.07821013583983248) q[3];
cx q[4], q[3];
h q[5];
h q[6];
cx q[4], q[6];
rz(-0.07821013583983248) q[6];
cx q[4], q[6];
cx q[3], q[6];
cx q[4], q[5];
rz(-1.0622659685091358) q[5];
cx q[4], q[5];
cx q[4], q[1];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[4], q[6];
rz(x0)... | null | {"circuits": [], "gradients": []} | [
"IIZZIII",
"ZIZIIII",
"ZIIZIII",
"IZZIIII",
"IZIZIII",
"ZZIIIII",
"IIZIIZI",
"IIIZIZI",
"ZIIIIZI",
"IZIIIZI",
"IIIZZII",
"ZIIIZII",
"IZIIZII",
"IIIIZZI",
"ZIIIIIZ",
"IIIIIZZ",
"IIIIZIZ",
"IIZIIII",
"IIIZIII",
"ZIIIIII",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"IIIIIIZ"
] | [
0.16666666666666666,
0.16666666666666666,
0.21666666666666667,
0.5,
0.05,
0.05,
0.5,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.21666666666666667,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666674,
0.26666666666666666,
0.2666666666666666,
0.1000000000000002,
0.2... | 0.622405 | [
-0.07821013583983248,
-0.4064386431527201,
-1.0622659685091358,
0.14402732184742517,
-0.5477154289904551,
-0.02993049081801174,
0.8477494294481007
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -2.1666666666666665,
"target_ratio": 0.97,
"target_value": -2.1016666666666666
} | 163 |
28550855a20366800e3fd917bf6489e0 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [17, 1], "expectation_value": -5.062217743352777, "params": null, "bitstrings": ["11101110", "11111110"], "total_optimization_steps": 27, "probabilities": [0.15063236032211283, 0.6761288203102811], "optimization_time": 31.120403289794922} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(5)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000000", "11111110", "11100110", "11101110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.15216926898181918) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.15216926898181918) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(0.05788856062893183) q[5];
cx q[0], q[5];
cx q[2], q[5];
rz(0.15216926898181918) q[5... | 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(-1.5486) 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... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIZIIIIZ",
"IIZIIZII",
"IZIIIIZI",
"IZIIIZII",
"IZZIIIII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZZIIIIII",
"ZIIIZIII",
"IIIZIIZI",
"IIZZIIII",
"IZIZIIII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIZIII",
"IIIZIII... | [
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.75,
1.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
0,
-0.25,
0.25,
0,
-0.75,
0.25,
0,
0.5
] | 0.970246 | [
0.15216926898181918,
0.05788856062893183,
-0.39706471093018897,
-0.4983538334088068,
-0.6196842796802551,
-0.8562234492096112,
-0.7118375263136241,
1.5192229975930538,
0.31351551366482816,
0.21708871535439847,
-0.41629988721034344,
-1.1950335447601863,
-0.3996149728763092,
-0.3579384860504... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 333 |
a5c40d068011c4e4e7f2c8be1bf9e74e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 4, "so... | {"states": [15, 1], "expectation_value": -1.6333619797194174, "params": [[0.060700000000000004, 0.06960000000000001, 0.06770000000000001], [-0.036500000000000005, -0.057800000000000004, -0.0555]], "bitstrings": ["10000", "11110"], "total_optimization_steps": 10, "probabilities": [0.052929879224285, 0.06032622530034775]... | -1.5 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + 1.5 * Z(1) + -0.25 * Z(0) + 0.75 * Z(4) + 0.25 * Z(2) + -2.25 * Z(3) | 1 | 5 | 3 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.403513744402808) q[0];
rz(-pi) q[1];
ry(-0.26244175595439895) q[1];
rz(-pi) q[2];
ry(-0.029488094427819626) q[2];
h q[3];
ry(-1.4713482188317892) q[3];
h q[4];
cx q[4], q[0];
ry(0.403513744402808) q[0];
cx q[4], q[0];
ry(-1.102703959745292) q[0];
ry(1.6020... | OPENQASM 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",
"ZIIZI",
"ZIIIZ",
"IIZZI",
"IZIZI",
"IZZII",
"IIIZI",
"IIIIZ",
"ZIIII",
"IIZII",
"IZIII"
] | [
-1.5,
-1,
1.75,
-0.75,
-1.25,
-1,
1.5,
-0.25,
0.75,
0.25,
-2.25
] | 0.971362 | [
-1.4713482188317892,
-0.807027488805616,
1.4911052735712893,
-1.102703959745292,
-1.7020375436318982,
-1.833778612837321,
0.221883680341239,
0.20350624481836382,
0.0010810601760510158,
0.1165906038876539
] | {
"n_parameters": 10,
"n_qubits": 5,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 14 |
2867969dc52573a39fa9fdcf5a20e2a9 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": ... | {"states": [0, 256], "expectation_value": -29.374916743236234, "params": [-0.0033, 0.2621, -0.0028, 0.2712, 0.0039000000000000003, 0.3052, 0.0022, 0.3023, -0.0007, 0.2796, 0.0046, 0.32270000000000004, 0.4077, -0.0024000000000000002, 0.406, -0.0023, 0.0046, 0.3043, -0.00030000000000000003, 0.30710000000000004, 0.0027, 0... | -1.0 * (Z(0) @ Z(4)) + -0.25 * (Z(8) @ Z(4)) + -0.25 * (Z(8) @ Z(0)) + -0.75 * (Z(11) @ Z(4)) + -0.25 * (Z(11) @ Z(0)) + -1.0 * (Z(11) @ Z(8)) + -0.25 * (Z(2) @ Z(4)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(8)) + -2.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + -1.0 * (Z(1) @ Z(6)) + -0.5 * (Z(7) @ Z(4)) + -1.25 * (Z(7... | 6 | 12 | 2 | {"smallest_eigenvalues": [-31.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -30.75, "smallest_bitstrings": ["111011111111"], "largest_eigenvalue": 32.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.13216340852301053) q[0];
rz(1.927920203544259) q[0];
rx(-0.21988266041964996) q[1];
rz(2.096900070253122) q[1];
rx(0.036554571528492376) q[2];
rz(1.9237170491567497) q[2];
rx(0.7442997904328555) q[3];
rz(1.369286847482023) q[3];
rx(0.07487588420167163) q[4];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIZ",
"IIIZIIIZIIII",
"IIIZIIIIIIIZ",
"ZIIIIIIZIIII",
"ZIIIIIIIIIIZ",
"ZIIZIIIIIIII",
"IIIIIIIZIZII",
"IIIIIIIIIZIZ",
"IIIZIIIIIZII",
"IIIIIZIZIIII",
"IIIIIZIIIZII",
"IIIIIZIIIIZI",
"IIIIZIIZIIII",
"IIIZZIIIIIII",
"IIIIZIIIIZII",
"IIIIZIIIIIZI",
"IIIIIIIIZIIZ",
"IIIIIZIIZ... | [
-1,
-0.25,
-0.25,
-0.75,
-0.25,
-1,
-0.25,
-1.5,
-1,
-2.25,
-0.5,
-1,
-0.5,
-1.25,
-0.5,
-2,
3.25,
-0.5,
-0.25,
-0.25,
-3,
-0.5,
-0.25,
-0.75,
-0.25,
-1.25,
-1,
-0.25,
-0.5,
-0.75,
-1.25,
-0.25,
-1,
-1.25,
-1.5,
-1,
-3.5,
-0.25,
0.25,
-1,... | 0.97411 | [
0.1321634085230105,
0.35712387674936225,
-0.21988266041964993,
0.5261037434582257,
0.03655457152849238,
0.35292072236185246,
0.7442997904328555,
-0.20150947931287427,
0.07487588420167164,
0.3587871423086355,
-0.17895100229438263,
0.35377571688751674,
-0.11796936603024855,
0.604653931839564... | {
"n_parameters": 96,
"n_qubits": 12,
"optimal_eigenvalue": -31.75,
"target_ratio": 0.97,
"target_value": -30.7975
} | 9 |
8c44c442a25e00dfae4e1647b2faf79f | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [6, 3], "expectation_value": -3.075176783564517, "params": [[-0.0597, -0.0718], [0.07200000000000001, 0.0732]], "bitstrings": ["11001", "11100"], "total_optimization_steps": 10, "probabilities": [0.051468517893479324, 0.05412671815514211], "optimization_time": 2.211296558380127} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 1.75 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 18 | 5 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022216824968526526) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022216824968526526) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022216824968526526) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.6284369302106981) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
2,
1.75,
1.75,
2,
2,
1.75,
-2.75,
-2.5,
-2.75,
-2.5,
-2.5
] | 0.720045 | [
0.022216824968526526,
0.6284369302106981,
-1.317266113042237,
0.027624710446691313,
-0.865652482486156
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 144 |
d112119d5d012adebbbd15cc698c9168 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "... | {"states": [2046, 4095], "expectation_value": -19.281301207918496, "params": [[[0.8794000000000001, 1.204], [0.0023, -0.9796], [-0.0027, 0.0028], [0.0022, 0.003], [0.0028, -0.0035], [0.0026000000000000003, 0.0024000000000000002], [0.0019, 0.0019], [0.0023, 0.0018000000000000002], [0.0024000000000000002, 0.0028], [0.002... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(6)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + -2.5 * (Z(9) @ Z(8)) + -2.5 * (Z(9) @ Z(7)) + -2.0 * (Z(11) @ Z(8)) + -2.0 * (Z(11) @ Z(7)) +... | 15 | 12 | 1 | {"smallest_eigenvalues": [-25.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["000000000000"], "largest_eigenvalue": 23.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.0635538120188922) q[0];
ry(-0.034458896242018186) q[1];
ry(-0.3578563996133157) q[2];
ry(-0.020335626708791077) q[3];
ry(0.053428697013265525) q[4];
ry(-0.24771917993009054) q[5];
ry(-0.11779470060635322) q[6];
ry(-0.034458896242018186) q[7];
ry(0.0710970244604030... | OPENQASM 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... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIIIZZIIII",
"IIIZZIIIIIII",
"IIZZIIIIIIII",
"IIZIZIIIIIII",
"ZIIZIIIIIIII",
"ZIIIZIIIIIII",
"ZIZIIIIIIIII",
"IZIZIIIIIIII",
"IZIIZIIIIIII",
"IZZIIIIII... | [
-2,
-2,
0.5,
-2,
0.5,
-1.5,
-1.5,
-2,
0.5,
-2,
-2.5,
-2.5,
-2,
-2,
1,
0.5,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
1,
0.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970392 | [
0.0635538120188922,
-0.034458896242018186,
-0.3578563996133157,
-0.020335626708791077,
0.053428697013265525,
-0.24771917993009054,
-0.11779470060635322,
0.07109702446040309,
0.003965517262023637,
-0.04204628641980265,
0.015639396998836114,
2.9424452918254866,
-0.05349749453631684,
0.216168... | {
"n_parameters": 18,
"n_qubits": 12,
"optimal_eigenvalue": -25.5,
"target_ratio": 0.97,
"target_value": -24.735
} | 40 |
9e00276ebdf30c1d8427410ecdb773d5 | 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": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, ... | {"states": [112, 11], "expectation_value": -0.13794291043076784, "params": [[-0.0506], [0.0646]], "bitstrings": ["0001111", "1110100"], "total_optimization_steps": 10, "probabilities": [0.008485601494159948, 0.008589856073714403], "optimization_time": 1.3294296264648438} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * Z(6) + 0.0 * Z(0) + -1.0 * Z(1) + -1.0 * Z(4) + -1.0 * Z(5) + -1.0 * Z(2) + 0.0 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["0110011", "0101011", "0010111", "0001111", "1110100", "0110101"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(0.031831007914375445) q[0];
cx q[6], q[0];
rz(-1.5681913488676935) q[0];
rx(1.64221197289964) q[0];
cx q[6], q[1];
rz(0.031831007914375445) q[1];
cx q[6], q[1];
cx q[6], q[4];
rz(0.031831007914375... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(x0) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(x0) q[1];
cx q[6], q[1];
cx q[6], q[4];
rz(... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZ",
"ZIIIIZI",
"ZIZIIII",
"IIZIIZI",
"IZIIIZI",
"IZZIIII",
"ZIIIZII",
"IZIIZII",
"IIIZZII",
"ZIIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-1,
-1,
-1,
0
] | 0.781258 | [
0.031831007914375445,
1.5663770096468257,
-1.5681913488676935,
0.8484641562953927,
1.64221197289964
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 141 |
71e10f6a07412051601a17c1aaab540b | 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": 3, "target": 4}, {"source": 5, "target":... | {"states": [0, 127], "expectation_value": -7.341680561890212, "params": [0.0032, 0.8203, 0.0032, 0.5608000000000001, 0.0043, 0.7839, 0.0013000000000000002, 0.6184000000000001, -0.4824, 0.6866, -0.011300000000000001, 0.9068, -0.5014000000000001, 0.7413000000000001, -0.2485, 0.8642000000000001, 0.4701, 0.305, 0.333900000... | -1.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) | 6 | 9 | 2 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["110000000"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.11539307161681123) q[0];
rz(2.5062727491177625) q[0];
rx(-0.2874388969975214) q[1];
rz(2.308454114164366) q[1];
rx(-0.3895783997304033) q[2];
rz(2.2561470989799624) q[2];
rx(0.7810191516175832) q[3];
rz(0.8349189773722605) q[3];
rx(0.3333061869049751) q[4];
rz(2.13... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIZZIIII",
"IIZZIIIII",
"IIZIZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-1.5,
-1,
-1.5,
-1.5,
0.5,
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.966399 | [
0.11539307161681124,
0.9354764223228655,
-0.28743889699752134,
0.7376577873694696,
-0.38957839973040326,
0.6853507721850662,
0.7810191516175833,
-0.7358773494226359,
0.3333061869049751,
0.5615073201363684,
1.3622728811037845,
0.10349052483294895,
0.40126583881121597,
-0.14272101481556024,
... | {
"n_parameters": 179,
"n_qubits": 9,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 500 |
797741253394724258 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 5], [2, 3], [4, 5], [3, 5], [1, 4], [3, 4], [0, 3]]} | {"states": [58, 43], "expectation_value": -2.1394906855902978, "params": null, "bitstrings": ["000101", "010100"], "total_optimization_steps": 38, "probabilities": [0.054858177860743464, 0.8201608874418741], "optimization_time": 34.77516484260559} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(0) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["010100", "101011"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(0.6058448026915298) q[1];
cx q[5], q[1];
cx q[5], q[3];
rz(0.6058448026915298) q[3];
cx q[5], q[3];
cx q[3], q[2];
rz(0.6058448026915298) q[2];
cx q[3], q[2];
rz(2.3281518490847475e-08) q[2];
rx(-0.669649... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"ZIIIZI",
"ZIZIII",
"IIZZII",
"ZZIIII",
"IZIIZI",
"IZZIII",
"IIZIIZ",
"ZIIIII",
"IIIIZI",
"IIZIII",
"IIIZII",
"IZIIII",
"IIIIIZ"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.447231 | [
0.6058448026915298,
2.3281518494341214e-8,
-0.6696497527393713
] | {
"n_parameters": 3,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 99 |
93141c357d164fcf2a36ba666f8f01e3 | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 2, "target": 3}, {"source": 1, "target": 3}]} | {"states": [2973, 3485], "expectation_value": -7.595739532765844, "params": null, "bitstrings": ["010001100010", "001001100010"], "total_optimization_steps": 100, "probabilities": [0.05944826069420597, 0.8620316846393108], "optimization_time": 317.7470455169678} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 12 | 3 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.75, "smallest_bitstrings": ["100100001010", "001001100010", "010010100001", "010010001100", "001001010100", "100100010001"], "largest_eigenvalue": 23.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1714898456555271) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.1714898456555271) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1714898456555271) q[1];
cx q[1], q[0];
rz(-0.24938667349607663) q[0];
cx q[1], q[0];
cx q[2], q[1];
h q[3];
... | null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.5706) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIZIIIIIIIIZ",
"IIZIIZIIIIII",
"IIZIIIIIZ... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1.25,
1.25,
1.25,
1,
1,
1,
1.25,
1.25,
1.25
] | 0.525188 | [
0.1714898456555271,
-0.24938667349607663,
1.1176635259891476,
0.8103834446690221,
-0.7718739166458187
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 163 |
406f205c8f68e15d44cfdbce281f4c7d | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [10, 13], "expectation_value": -3.253188781498924, "params": null, "bitstrings": ["110101", "110010"], "total_optimization_steps": 27, "probabilities": [0.05945610366321868, 0.8450668453098138], "optimization_time": 22.016005992889404} | 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -0.75 * Z(0) + -1.0 * Z(1) + -0.25 * Z(2) + 0.0 * Z(3) + -0.25 * Z(4) + -0.2... | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["110010"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.00817263797266711) q[0];
rz(0.5966647633891988) q[0];
rx(-0.00817263797266711) q[1];
rz(0.13566274477300744) q[1];
rx(3.0563566369992974) q[2];
rz(1.526362272167271) q[2];
rx(2.7143491625185714) q[3];
rz(0.6625473815348293) q[3];
rx(-0.235591289998422) q[4];
rz(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) 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... | [
"IIZZII",
"IZIZII",
"IZZIII",
"IZZZII",
"IIIZZI",
"IIZIIZ",
"ZIIIIZ",
"ZIZIII",
"ZIZIIZ",
"ZZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.75,
-1,
-0.25,
0,
-0.25,
-0.25
] | 0.974338 | [
-0.00817263797266711,
0.5966647633891988,
0.13566274477300744,
3.0563566369992974,
1.526362272167271,
2.7143491625185714,
0.6625473815348293,
-0.235591289998422,
0.5263775625222091,
3.0339991639572848,
0.17723105258234045
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 12 |
19346d816993a90ae9210f6a2f80ac3d | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target":... | {"states": [80, 84], "expectation_value": -9.670403259579107, "params": [[0.038200000000000005, 0.022600000000000002, 0.7983, 0.8084, 0.1983, 0.811, -0.0213, 0.8014, -0.013000000000000001, -0.0013000000000000002], [-0.0366, -0.060200000000000004, 0.554, 0.8005, 0.383, 0.8073, 0.394, 0.8016000000000001, 0.0106, -0.00060... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-11.0, -11.0, -11.0, -11.0, -11.0, -11.0, -11.0, -11.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -10.0, "smallest_bitstrings": ["1111100011", "1101101011", "1110101011", "0111101011", "1111000111", "1110001111", "1001111011", "1111010101"], "largest_eigenvalue": 34.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.014546367577750664) q[0];
ry(0.3002057887181596) q[1];
ry(0.8793845599360344) q[2];
ry(1.169063129397378) q[3];
ry(0.091462947601003) q[4];
ry(1.5482220984730493) q[5];
ry(0.07188490720842317) q[6];
ry(1.5655091644030423) q[7];
ry(-0.1412318718442968) q[8];
ry(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZIIIZII",
"IIIZIIZIII",
"IZIIIIIIZI",
"IZIIIIIIIZ",
"IZIIIIIZII",
"IZIIIIZIII",
"IIIIZIIIZI",
"IZIIZIIIII",
"ZIIIIIIIZI",
"ZIIIIIIZII",
"ZIIIIZIIII"... | [
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,
-2.5,
-2.5,
-2.5,
-2,
-1.5,
-2,
-3,
-1,
-3,
-1
] | 0.971555 | [
-0.014546367577750664,
0.3002057887181596,
0.8793845599360344,
1.169063129397378,
0.091462947601003,
1.5482220984730493,
0.07188490720842317,
1.5655091644030423,
-0.1412318718442968,
-0.1661879591759473,
0.018124688630079794,
-0.20183217091770284,
0.8061989042177554,
0.718633039056442,
-... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 13 |
9325960b1637dc394e7dc9dd3fcbad13 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 4, "... | {"states": [4035, 4047], "expectation_value": -0.5904981525440094, "params": [[0.0741], [-0.0644]], "bitstrings": ["000000111100", "000000110000"], "total_optimization_steps": 10, "probabilities": [0.00036088640857851584, 0.00037421664758649443], "optimization_time": 1.790353775024414} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(5)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -1.0 * (Z(8) @ Z(9)) + -1.0 * (Z(10) @ Z(11)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(5) + 0.5 * Z(3) + 0.5 * Z(4) + -1.0 * Z(7) + -1.0 * Z(6) + 0.5 * Z... | 1 | 12 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["000000110000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.13481449337706808) q[0];
ry(-0.09125046950375937) q[1];
ry(-0.028463240667156955) q[2];
ry(-0.2048977980645706) q[3];
ry(0.0658760941561959) q[4];
ry(-0.027593696410604884) q[5];
ry(-0.028463240667156955) q[6];
ry(0.05504733802035046) q[7];
ry(-0.1964499520548427... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], ... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIIZZ",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIIIZZIII",
"IIIIZZIIIIII",
"IIZZIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIZII",
"IIIIIIIIIIIZ",
"IIIIIIIIIIZI",
"IIIIIIZIIIII",
"IIIIIIIIZIII",
"IIIIIIIZIIII",
"IIIIZIIIIIII",
"IIIIIZIIIIII",
"IIZIIIIII... | [
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
-1.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5
] | 0.972216 | [
-0.13481449337706808,
-0.09125046950375937,
-0.028463240667156955,
-0.2048977980645706,
0.0658760941561959,
-0.027593696410604884,
0.05504733802035046,
-0.19644995205484272,
-0.0867611013453599,
-0.05203035528621828,
0.1347042266019476,
3.1559381331732026,
-0.005532604559321544,
0.08259236... | {
"n_parameters": 18,
"n_qubits": 12,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 35 |
5ed2e84a4a14a0b7f5c3856807396e61 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 4, "s... | {"states": [5, 37], "expectation_value": -6.194362951981871, "params": null, "bitstrings": ["111111010", "111011010"], "total_optimization_steps": 28, "probabilities": [0.21487139127407406, 0.2154245891814615], "optimization_time": 31.724121570587158} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + 0.75 * (Z(8) @ Z(0)) + -1.25 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -0.25 * (Z(7) @ Z(2)) + -0.25 * (Z(4) @ Z(8)) + -0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(7)) + -0.75 * (Z(3) @ Z(4)) + -0.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + -0.25 * Z(0) + 0.75 * Z(2) + 0.5 * Z(8) + -1.... | 1 | 9 | 2 | {"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": ["111011110", "111001010", "111001000", "111111110", "111111010", "111011010"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.07631298667984679) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.07631298667984679) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(-0.02675005929009977) q[5];
cx q[1], q[5];
rz(1.547506371120754) q[1];
rx(-1.48451... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[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] = ... | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"ZIIIIIIIZ",
"IIIZIIIZI",
"IIIZIIZII",
"IZIIIIZII",
"ZIIIZIIII",
"IIIZZIIII",
"IZIIZIIII",
"IIIIZZIII",
"IIZIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"ZIIIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII"
] | [
-0.25,
-0.25,
0.75,
-1.25,
-1.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.75,
-0.5,
0.5,
-0.25,
0.75,
0.5,
-1.75,
0,
-1,
0.75,
0.5
] | 0.674338 | [
-0.07631298667984679,
1.3779727175632956,
-0.02675005929009977,
-0.016512191481523938,
-0.0017200849202761322,
1.547506371120754,
1.5630420677388002,
1.564109801380211,
1.5629778929593883,
-1.4845196553160172
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 253 |
f0b06cd51f27ae008a2c5de16651c69d | 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": 5}, {"source": 0, "target": 6}, {"sour... | {"states": [17, 21], "expectation_value": -7.542030594006129, "params": [[-0.006, 0.31370000000000003, -0.027, -0.017400000000000002, 0.4047, -0.008700000000000001, 0.39980000000000004, 0.22240000000000001, 0.406], [-0.0129, 0.3034, -0.0181, -0.0111, 0.4081, -0.006500000000000001, 0.398, 0.1242, 0.4063], [-0.0043, 0.31... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) ... | 10 | 9 | 3 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0, -9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -8.0, "smallest_bitstrings": ["101101110", "111101010", "111001101", "111100011", "101100111", "011101110"], "largest_eigenvalue": 27.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.17905638705810537) q[0];
ry(0.11882108087491276) q[1];
ry(-0.1337719571845995) q[2];
ry(-0.3325895819597148) q[3];
ry(0.38767599740024594) q[4];
ry(-0.11213972643039738) q[5];
ry(0.9252445749534937) q[6];
ry(-0.006284415311764491) q[7];
ry(0.9859788131814645) q[8];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIZIIIIZ",
"IIIZIIZII",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"IIIIZIZII",
"ZIIIIIZII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZZIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-2.5,
-2.5,
-2,
-2,
-2,
-2.5,
0,
-1.5
] | 0.972069 | [
0.17905638705810537,
0.11882108087491276,
-0.1337719571845995,
-0.3325895819597148,
0.38767599740024594,
-0.11213972643039738,
0.9252445749534937,
-0.006284415311764491,
0.9859788131814645,
-0.12698118885049578,
-0.23771532551446972,
0.11040967670789432,
-0.21295872406992,
0.62467077419943... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 13 |
-8590732724189314986 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 5], [2, 6], [1, 4], [3, 4], [1, 5], [1, 3], [2, 4], [3, 5], [1, 6], [3, 7], [2, 5], [0, 7]]} | {"states": [15, 240], "expectation_value": -0.15659446411301298, "params": [[-0.08610000000000001], [0.0785]], "bitstrings": ["11110000", "00001111"], "total_optimization_steps": 10, "probabilities": [0.00479484285166159, 0.00479484285166159], "optimization_time": 2.0749523639678955} | 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(0) @ Z(7)) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["11110000", "00001111"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[4];
rz(-0.5598098141594972) q[4];
cx q[5], q[4];
cx q[5], q[2];
rz(-0.5598098141594972) q[2];
cx q[5], q[2];
cx q[4], q[2];
rz(-0.5598098141594972) q[2];
cx q[4], q[2];
cx q[5], q[1];
rz(-0.5598098141594972) q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[5], q[2];
rz(x0) q[2];
cx q[5], q[2];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[2]... | null | {"circuits": [], "gradients": []} | [
"IIZZIIII",
"IIZIIZII",
"IIIZIZII",
"IZIIIZII",
"IIZIIIZI",
"IIIZIIZI",
"IZIIIIZI",
"IIZIZIII",
"IIIZZIII",
"IIIIZIZI",
"ZIIIZIII",
"ZIIIIIIZ",
"IIZIIIII",
"IIIZIIII",
"IIIIIZII",
"IZIIIIII",
"IIIIIIZI",
"IIIIZIII",
"ZIIIIIII",
"IIIIIIIZ"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.417376 | [
-0.5598098141594972,
-1.2750305626755537e-8,
0.6577813117571703
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 87 |
fc004364023d9de40312a47332ff3203 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [24, 40], "expectation_value": -3.9741067800330327, "params": null, "bitstrings": ["100111", "010111"], "total_optimization_steps": 17, "probabilities": [0.07397901535923933, 0.9005745124139602], "optimization_time": 14.416747331619263} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -1.5 * Z(4) + -1.0 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["011101", "100111", "101011", "010111", "101110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.6127412305421492) q[1];
cx q[0], q[1];
ry(0.6127412305421492) q[1];
cx q[0], q[1];
ry(0.9064729368977194) q[0];
ry(-0.649182173265523) q[1];
h q[2];
ry(1.4324240142859173) q[2];
cx q[2], q[0];
ry(-0.23353815411777684) q[0];
cx q[2], q[0];
cx q[2], ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIIZ",
"ZIIIIZ",
"ZIZIII",
"IZIIZI",
"IZZIII",
"ZZIIII",
"IIZZII",
"ZIIZII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IZIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
-1.5,
-1.5,
-1
] | 0.987812 | [
-1.5986606768365204,
-1.6185309131181278,
-1.6846005430182638,
1.4324240142859173,
-1.2254824610842985,
0.6729347827799425,
-0.5013102898575983,
0.4670763082355537,
-0.2957437668158493,
-0.01748577060486424,
-0.06482151295528986,
0.013714043898860342,
-0.001963044877672917,
0.1760142459784... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
44bf747c04df002d53e645dfd7a3d1de | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, {"source": 4, "target": 5}, ... | {"states": [36, 52], "expectation_value": -1.9600722894537144, "params": [0.00030000000000000003, 0.1572, 0.0033, 0.1643, 0.2031, 0.003, 0.2053, -0.0013000000000000002, 0.1971, -0.0004, 0.1985, 0.0025, 0.0019, 0.1416, 0.0057, 0.0772, 0.19940000000000002, 0.0006000000000000001, 0.19740000000000002, 0.0056, 0.1268, 0.087... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -0.75 * Z(0) + 0.0 * Z(1) + -0.25 * Z(2) + -0.75 * Z(3... | 7 | 7 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["1001011", "1011010", "1001101"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.7680741930129031e-09) q[0];
cx q[1], q[0];
rz(-1.5707962938945503) q[1];
rx(1.5707963403823506) q[1];
h q[2];
h q[3];
cx q[0], q[3];
rz(1.7680741930129031e-09) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(1.7680741930129031e-09) q[2];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIZI",
"IIZIIZI",
"IIZZIII",
"IIZZIZI",
"ZZIIIII",
"IZZIIII",
"ZIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
-0.75,
0,
-0.25,
-0.75,
-0.25,
-0.5,
-0.5
] | 0.640625 | [
1.7680741930129031e-9,
-1.5707962938945503,
1.570796218167446,
0.2526801700074642,
1.5707963403823508
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 152 |
26d7f56e59bfdf48052023802b40605b | kclique | 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": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [6, 3], "expectation_value": -7.266998784218237, "params": null, "bitstrings": ["11001", "11100"], "total_optimization_steps": 29, "probabilities": [0.1270260520166957, 0.6801278965337934], "optimization_time": 22.208460330963135} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4) | 18 | 5 | 2 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(1.2499764251158545) q[0];
ry(-3.131892145691064) q[1];
rz(-pi) q[1];
cx q[0], q[1];
ry(-0.044478645155635405) q[1];
cx q[0], q[1];
ry(0.12664230797643383) q[0];
h q[2];
ry(1.5166171737405318) q[2];
ry(-0.03588918412791559) q[3];
rz(-pi) q[3];
ry(-0.0607466333... | null | {"k": 3} | {"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[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
2,
1.75,
1.75,
2,
2,
2,
-2.75,
-2.5,
-2.75,
-2.25,
-2.25
] | 0.996768 | [
-1.542809730398753,
-1.422554814258884,
1.2499764251158545,
1.5166171737405318,
-0.17498975827594188,
0.08895729031127081,
0.07763652938393162,
0.25328461595286766,
0.0158051754635434,
-0.01985291831550096,
-0.1417123084039368,
-0.06160524380502602,
-0.0461715348705158
] | {
"n_parameters": 13,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
3055509004077713829 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[11, 12, 6], [2, 3], [9, 12], [3, 6], [1, 10, 7], [8, 4, 7], [2, 11], [8, 10, 7], [11, 12, 5], [11, 3, 4], [0, 12]]} | {"states": [2867, 2611], "expectation_value": -3.2447829734367457, "params": [0.28750000000000003, 0.49870000000000003, 0.2884, 0.002, 1.1268, -0.003, 1.3022, -0.011600000000000001, 0.13670000000000002, -0.1279, 0.1428, 0.0029000000000000002, 1.3030000000000002, 0.0021000000000000003, 1.3035, -0.0059, 0.828800000000000... | 0.3333333333333333 * (Z(11) @ Z(12)) + 0.16666666666666666 * (Z(6) @ Z(12)) + 0.16666666666666666 * (Z(6) @ Z(11)) + 0.5 * (Z(2) @ Z(11)) + 0.16666666666666666 * (Z(3) @ Z(11)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(9) @ Z(12)) + 0.16666666666666666 * (Z(1) @ Z(10)) + 0.3333333333333333 * (Z(7) @ Z(10))... | 8 | 13 | 1 | {"smallest_eigenvalues": [-4.499999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.166666666666667, "smallest_bitstrings": ["1010111001100"], "largest_eigenvalue": 8.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(0.24376057219241187) q[0];
rz(1.786501807185747) q[0];
rx(1.6983183113134759) q[1];
rz(-0.1265198751438496) q[1];
cx q[1], q[0];
ry(0.023635496126515942) q[0];
cx q[1], q[0];
ry(0.006317064906139147) q[0];
rz(-1.6799160896970076) q[0];
rx(1.7972232660494811) q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZZIIIIIIIIIII",
"ZIIIIIZIIIIII",
"IZIIIIZIIIIII",
"IZIIIIIIIIZII",
"IZIIIIIIIZIII",
"IIIIIIZIIZIII",
"IIIIIIIIIZZII",
"ZIIZIIIIIIIII",
"IIZIIIIIIIIZI",
"IIZIIZIIIIIII",
"IIIIIZIIIIIZI",
"IIZIZIIIIIIII",
"IIIIZZIIIIIII",
"IZIIIIIIZIIII",
"IIIIIIIIZZIII",
"IIIIIZIIZIIII",
"IIIIZIIIZII... | [
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.1666666666666... | 0.972082 | [
0.24376057219241193,
0.21570548039085102,
1.6983183113134759,
-0.1265198751438496,
0.08812436453452942,
0.5938306113527118,
1.8620731012414888,
0.13340687188834072,
-0.12681457777407576,
-0.40483344427263257,
0.16857994521132535,
0.09461769351194613,
0.1491101782546002,
0.29339645866046493... | {
"n_parameters": 64,
"n_qubits": 13,
"optimal_eigenvalue": -4.499999999999998,
"target_ratio": 0.97,
"target_value": -4.364999999999998
} | 29 |
f490a28ecdd83f85cb7689547a0eb0f1 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [34, 38], "expectation_value": -1.979048227572414, "params": [0.806, 0.026600000000000002, 0.2786, 0.3523, 0.0021000000000000003, -0.5913, 0.801, 0.0002, 0.8089000000000001, -0.0025, 0.0019, -0.49920000000000003, 0.8111, 0.0047, 0.2864, 0.006, 0.0021000000000000003, 0.0004, 0.8019000000000001, 0.001200000000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + -0.25 * Z(0) + -0.5 * Z(1) + -0.75 * Z(2) + 0.0 * Z(3) + -0.25 * Z(4) + -0.7... | 3 | 6 | 2 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["011001"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(1.4559220094194139) q[1];
ry(-0.12411763596727048) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4736134322386227) q[3];
ry(-0.031683301563526195) q[4];
rz(-pi) q[4];
h q[5];
ry(-0.5472362963496462) q[5];
cx q[0], q[5];
ry(0.5472362963496462) q[5];
cx q[0], q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZZII",
"IZIZII",
"IZZIII",
"IZZZII",
"IIZIIZ",
"ZIIIIZ",
"ZIZIII",
"ZIZIIZ",
"IZIIZI",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.25,
-0.5,
-0.75,
0,
-0.25,
-0.75
] | 0.991196 | [
-1.582323973277357,
-1.3643355409729596,
1.4736134322386227,
1.4559220094194139,
-1.0944725926992924,
0.7522403135211317,
-0.3532284044695118,
0.4812526455354951,
-0.22809332507390656,
0.3572804273733394,
-0.1631535345356533,
-0.16468629970933335,
0.1857552217475515,
0.08779101460740774,
... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
2cf6224a7b786ab8607e7cc5dbc62158 | 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": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 6... | {"states": [3, 43], "expectation_value": -8.212917224881869, "params": null, "bitstrings": ["1111100", "1010100"], "total_optimization_steps": 49, "probabilities": [0.20431288557519606, 0.6125808501211156], "optimization_time": 36.30682396888733} | -1.0 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -1.25 * (Z(1) @ Z(3)) + 2.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -0.75 * Z(2) + -0.25 * Z(0) + -0.75 * Z(4) + 0.5 * Z(3) + -0.25 * Z(1) + 0.5 * Z(6) + 1.0 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-9.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.75, "smallest_bitstrings": ["1010100"], "largest_eigenvalue": 8.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.06830128417282086) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.011585934974251182) q[3];
cx q[2], q[3];
rz(-0.6633598662099609) q[2];
rx(-1.3300415243216537) q[2];
cx q[3], q[1];
rz(-0.30274825969433) q[1];
cx q[3], q[1]... | 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(-1.57) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];... | [
"IIIIZIZ",
"IIZIIIZ",
"IIIZZII",
"IIIZIZI",
"ZIIIIIZ",
"ZIIIIZI",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIZIII",
"IIIIIZI",
"ZIIIIII",
"IZIIIII"
] | [
-1,
-0.75,
-0.25,
-1.25,
2,
-0.5,
-1,
-0.75,
-0.25,
-0.75,
0.5,
-0.25,
0.5,
1
] | 0.970349 | [
-0.06830128417282086,
-0.6633598662099606,
0.011585934974251182,
-0.30274825969433,
0.03219304338927346,
-0.1354849027968686,
0.8613712349684953,
0.42174121241001783,
-1.330041524321654,
-0.2214808877154617,
-0.993722562477752,
0.18392254142999373,
-0.9256007528868808,
0.1552563526822461,
... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -9.75,
"target_ratio": 0.97,
"target_value": -9.4575
} | 210 |
-6303618358277399494 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 3], [0, 1], [2, 4], [3, 5]]} | {"states": [34, 35], "expectation_value": -0.005963614960735553, "params": [1.6239000000000001, 0.003, 1.5085000000000002, 0.0027, 1.4966000000000002, 0.0081, 1.5225, 0.0039000000000000003, 1.6273, 0.0034000000000000002, 1.6099, 0.0037, 0.009600000000000001, 0.0014, 0.008700000000000001, 0.0047, 0.008], "bitstrings": [... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(5) | 3 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0, "smallest_bitstrings": ["100011", "101001", "010110", "011100"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(1.0471975717759565) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(1.0471975717759565) q[1];
cx q[0], q[1];
rz(-5.534303681997699e-09) q[0];
rx(-pi/4) q[0];
rz(-5.534303681997699e-09) q[1];
rx(-pi/4) q[1];
h q[4];
cx q[4], q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IIIIZZ",
"IZIZII",
"ZIZIII",
"IIZIII",
"IIIIIZ",
"IIIIZI",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.649519 | [
1.0471975717759565,
-5.534303978078459e-9,
-0.7853981642288469
] | {
"n_parameters": 3,
"n_qubits": 6,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 95 |
1d579e37a468bd880bcb1092848cc668 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 3}, {"capacity": 4, "source": 4, "target": 1... | {"states": [53, 39], "expectation_value": -5.123520434733628, "params": null, "bitstrings": ["1001010", "1011000"], "total_optimization_steps": 28, "probabilities": [0.10938285524458996, 0.1093833937372856], "optimization_time": 21.803640127182007} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + 0.75 * (Z(6) @ Z(0)) + -1.0 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(6) + -2.0 * Z(3) + 0.0 * Z(2) + 2.0 * Z(4) + 1.0 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -4.25, "smallest_bitstrings": ["1101010", "1101000", "1001000", "1000000", "1100000", "1001010", "1011000", "1011010", "1111100", "1111110", "11110... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6941259116557518) q[0];
h q[1];
h q[2];
h q[3];
ry(-0.7530958440334765) q[3];
h q[4];
ry(1.6275648338062378) q[4];
cx q[4], q[3];
ry(0.7530958440334765) q[3];
cx q[4], q[3];
h q[5];
h q[6];
cx q[6], q[0];
ry(0.6941259116557518) q[0];
cx q[6], q[0];
ry(-0.3... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIIIZII",
"IIZIIII",
"IZIIIII"
] | [
-0.5,
-0.5,
0.75,
-1,
-1,
-1,
-1,
-1,
-0.25,
0.25,
-2,
0,
2,
1
] | 0.975008 | [
1.6275648338062378,
-1.506191688066953,
-1.3882518233115035,
1.0437940616691472,
-0.6850023722970648,
0.430917419283484,
-0.20458261231373315,
0.03557786349020009,
-0.11303820837731039,
0.224256866592883,
-0.03744596523400791,
-0.08823505966052633,
0.07360138473543015
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 1 |
9c42d64a7466ccf874275fc8844c2c25 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [183, 151], "expectation_value": -1.5728888465667576, "params": [[[0.40340000000000004, -0.0245], [0.39840000000000003, -0.024300000000000002], [0.1852, 0.2983], [0.38830000000000003, 0.2777], [0.3995, 0.2967], [0.20070000000000002, 0.31970000000000004], [0.403, 0.17930000000000001], [0.2414, 0.3339000000000... | 0.5 * (Z(2) @ Z(1)) + 0.0625 * (Z(3) @ Z(1)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(5)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(3) @ Z(6)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(5) @ Z(6)) + -0.0625 * (Z(3) @ Z(4) @ Z(1)) + -0.0625 * (Z(3)... | 15 | 9 | 4 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.8125, "smallest_bitstrings": ["110001001", "101101000", "101001010", "101001001"], "largest_eigenvalue": 6.1875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-9.07577882516075e-09) q[0];
cx q[4], q[0];
rz(1.570796363493768) q[0];
rx(-1.5707963622037864) q[0];
cx q[4], q[2];
rz(-9.07577882516075e-09) q[2];
cx q[4], q[2];
cx q[2], q[1];
rz(-9.07577882516075e-09) q[1];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIZIIIZI",
"IIZIIIIZI",
"IIIIZZIII",
"IIIZIZIII",
"IIZIIZIII",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIIZZIZI",
"IIIZIZIZI",
"IIZIIZIZI",
"IIIZZIIZI",
"IIZIZIIZI",
"IIZZIIIZI",
"IIIZZZIII",
"IIZIZZIII",
"IIZZIZIII",
"IIZZZIIII",
"... | [
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
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0.0625,
0.0625,
0.0625,
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0.25,
0.25,
0.25,
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0.25,... | 0.8 | [
-9.07577882516075e-9,
-1.5707962474353703,
1.5707963634937685,
-1.5707962955026136,
1.5707962811770297,
-1.5707963622037862
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 159 |
c24dd733315066f7c7da3d578f954d8c | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 2}]} | {"states": [4, 0], "expectation_value": -2.544911536768462, "params": null, "bitstrings": ["11011", "11111"], "total_optimization_steps": 6, "probabilities": [0.003905797211247971, 0.9825329383933348], "optimization_time": 7.790460824966431} | 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0) @ Z(2) @ Z(4)) + -0.0... | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.5625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5625, "smallest_bitstrings": ["11111"], "largest_eigenvalue": 4.4375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-pi) q[0];
ry(-3.109822845335567) q[0];
h q[1];
ry(-1.5582063124952958) q[1];
rz(-pi) q[2];
ry(-3.109822845335567) q[2];
rz(-pi) q[3];
ry(-3.109822845335567) q[3];
h q[4];
ry(1.469755261649514) q[4];
rz(-pi) q[5];
ry(-3.135276556501939) q[5];
cx q[4], q[5];
ry(-0.107... | 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(-1.4868) 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;\nqubit[5]... | [
"IIZIZ",
"IZIIZ",
"ZIIIZ",
"IIIZZ",
"IZZII",
"ZIZII",
"IIZZI",
"ZZIII",
"IZIZI",
"ZIIZI",
"IZZIZ",
"ZIZIZ",
"IIZZZ",
"ZZIIZ",
"IZIZZ",
"ZIIZZ",
"ZZZII",
"IZZZI",
"ZIZZI",
"ZZIZI",
"ZZZIZ",
"IZZZZ",
"ZIZZZ",
"ZZIZZ",
"ZZZZI",
"ZZZZZ",
"IIIIZ",
"IIZII",
"IZIII",... | [
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.5625,
-0.5625,
-0.5625,
-0.5625,
-... | 0.994345 | [
-1.5582063124952958,
1.469755261649514,
0.21471432446647404,
0.2656217467992172,
0.18133959097226313
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
839e49943c280a605024f1eaa388ffdd | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capaci... | {"states": [3, 1], "expectation_value": -0.9045025977152602, "params": [[-0.0483, -0.041800000000000004, -0.027700000000000002, -0.025500000000000002], [0.062200000000000005, 0.0599, 0.050100000000000006, 0.0369]], "bitstrings": ["111100", "111110"], "total_optimization_steps": 10, "probabilities": [0.02857120177343391... | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + 1.5 * (Z(5) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + 1.5 * Z(5) + -1.0 * Z(3) + 0.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.610696988332422) q[0];
h q[1];
ry(-1.610696988332422) q[1];
ry(-0.008287823470105224) q[2];
rz(-pi) q[2];
rz(-pi) q[3];
ry(-0.08573910863688183) q[3];
rz(-pi) q[4];
ry(-0.053813276033384) q[4];
h q[5];
ry(1.5055160025387713) q[5];
cx q[5], q[4];
ry(0.11911... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"ZIIIIZ",
"IIZIZI",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
-0.75,
-0.25,
-0.5,
1.5,
-1,
-0.5,
0.5,
-0.25,
-0.75,
1.5,
-1,
0
] | 0.997269 | [
1.5055160025387713,
-1.610696988332422,
-1.5348557413287611,
-1.690543994376932,
-1.50548970354966,
-0.23823979855724126,
0.06801711789030701,
-0.05530552399206049
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
60668963da06e834e19f76557703de50 | max_flow | 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": 6}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [446, 702], "expectation_value": -18.067305656856156, "params": [[[0.6762, 0.0025, 0.0083, 0.006500000000000001], [0.8486, 0.0078000000000000005, 0.7356, -0.016300000000000002], [0.7409, -0.0979, -0.21400000000000002, 0.12490000000000001], [0.2919, 0.16570000000000001, 0.8959, -0.0379], [0.8436, -0.024, -0.3... | -0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(12) @ Z(3)) + 0.5 * (Z(7) @ Z(12)) + 0.5 * (Z(8) @ Z(12)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(12)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(8)) + 0... | 11 | 13 | 4 | {"smallest_eigenvalues": [-20.5, -20.5, -20.5, -20.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -20.166666666666664, "smallest_bitstrings": ["1110010000000", "1110100000000", "1110011000001", "1110101000001"], "largest_eigenvalue": 44.16666666666667} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.3495795638101787) q[1];
cx q[2], q[1];
rz(1.316267177939518) q[1];
rx(0.9018162532465075) q[1];
rz(1.316267177939518) q[2];
rx(0.9018162532465075) q[2];
cx q[2], q[1];
rz(0.7064898143884604) q[1];
cx q[2], q[1];
rz(0.2181291... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIIZ",
"IIIIIIIIZZIII",
"IIIIIIIIZIIIZ",
"IIIIIIIZIZIII",
"IIIIIIIZIIIIZ",
"IIIIIIIZZIIII",
"ZIIIIIIIIZIII",
"ZIIIIZIIIIIII",
"ZIIIZIIIIIIII",
"IIIIZZIIIIIII",
"IIIIIIZIIZIII",
"ZIIIIIZIIIIII",
"IIIIIZZIIIIII",
"IIIIZIZIIIIII",
"IIIZIZIIIIIII",
"IIIZZIIIIIIII",
"IIZIIZIIIII... | [
-0.5,
0.5,
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0.5,
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0.5,
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0.5,
0.5,
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1,
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1,
1,
0.5,
4,
4,
-0.5,
4.5,
9,
3,
-0.3333333333333333,
-0.3333333333333333
] | 0.970127 | [
0.04189863073806663,
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-0.021418427119927266,
0.07746452679930428,
-0.2651959433094865,
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1.1085983865872393,
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-1.0327661562735717,
-1.7856827631827696,
-0.964013346061466,
1.3162671779395185,
0.90181625324650... | {
"n_parameters": 42,
"n_qubits": 13,
"optimal_eigenvalue": -20.5,
"target_ratio": 0.97,
"target_value": -19.884999999999998
} | 147 |
ac36c5a153720f2afd43ce774542e80a | 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": 6, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capaci... | {"states": [0, 31], "expectation_value": -8.447623451114705, "params": [[0.1287, 0.2285, 0.2684, 0.2777], [-0.553, -0.3174, -0.25630000000000003, -0.14120000000000002]], "bitstrings": ["111111", "100000"], "total_optimization_steps": 90, "probabilities": [0.19039095268373776, 0.19299389216832052], "optimization_time": ... | -0.25 * (Z(0) @ Z(1)) + -2.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(3) + 2.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 4 | {"smallest_eigenvalues": [-10.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.25, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.05068074801498348) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.9068776481257712) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.21807639072518945) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.8389376578690388) 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[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIZI",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZZIIII",
"IIZZII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
-0.25,
-2.25,
-1.5,
-2.5,
-0.75,
-1.5,
2,
-1,
-0.75,
-0.75,
-0.5,
-0.25,
-1.25,
2.5,
-0.5,
0
] | 0.672188 | [
0.05068074801498348,
-0.9068776481257712,
-0.21807639072518945,
-0.8389376578690388,
-0.5234317396873804,
1.2952058031180758,
-0.19869109614486527,
-0.03125778857127778,
-0.20889072827163999,
0.4804048469203415,
0.13591911593430336,
-0.9021481901189203
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -10.25,
"target_ratio": 0.97,
"target_value": -9.942499999999999
} | 256 |
a155bc46cc3193b5b417eac79f2c9ae9 | 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": 6}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 1, "target": 8}, {"source": 2, "target": 7}, {"sour... | {"states": [480, 496], "expectation_value": -5.519610769340476, "params": [1.5714000000000001, 0.0032, 1.5741, 0.0092, 1.5673000000000001, -0.002, 1.5681, 0.0007, 1.5741, 0.002, 1.5717, 0.0036000000000000003, 1.5669000000000002, -0.0019, 1.5710000000000002, 0.0027, 0.803, -0.0013000000000000002, 0.8072, 0.0019, -0.0025... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(6) + 0.0 * Z(0) + -1.0 * Z(1) + -1.0 * Z(7) + -1.0 * Z(8) + 0.0 * Z(2... | 7 | 9 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["000001111"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.2639274144644899) q[0];
rz(0.1769619419764119) q[0];
rx(1.5026375819368236) q[1];
rz(0.06351379103422632) q[1];
cx q[1], q[0];
rz(-0.06103717517907631) q[0];
cx q[1], q[0];
rx(1.6282030152709945) q[0];
rz(0.13458653157351513) q[0];
rx(1.7712921514778424) q[1];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIIZ",
"IIZIIIIZI",
"IZIIIIIZI",
"ZIZIIIIII",
"ZIIIIIIZI",
"IZIIIIZII",
"IIZZIIIII",
"IIIZIZIII",
"IZIIZIIII",
"ZIIIZIIII",
"IIIZZIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIIZIII",
"IIIIZIIII"
] | [
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,
-1,
-1,
-1,
0,
-1,
0,
-1
] | 0.973639 | [
1.2639274144644899,
0.11592476679733568,
1.5026375819368236,
0.06351379103422632,
1.6282030152709945,
0.0747895687029371,
1.4854675391517813,
-0.045891414192141884,
1.261147276210123,
0.19181907626485656,
0.05981721374741192,
1.36100631233139,
-1.267386516088684,
-0.05049009617639111,
0.... | {
"n_parameters": 38,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 7 |
98ff52dd3a46eb29e6baf499c47cc739 | edge_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": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [7, 35], "expectation_value": -2.1181416555577193, "params": null, "bitstrings": ["111000", "011100"], "total_optimization_steps": 24, "probabilities": [0.05107453549901371, 0.9399494395431499], "optimization_time": 26.657806158065796} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4)... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.125, "smallest_bitstrings": ["010110", "011010", "011001", "101001", "111000", "011100"], "largest_eigenvalue": 4.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1168462545542617) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.1168462545542617) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.026972130850506856) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(0.1168462545542617) q[4];
cx q[2... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.4449) q[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",
"IIZZII",
"IZIZII",
"IIZIIZ",
"IZIIIZ",
"ZIIIIZ",
"IZZIII",
"ZIZIII",
"ZZIIII",
"IZZIIZ",
"ZIZIIZ",
"ZZIIIZ",
"ZZZIII",
"ZZZIIZ",
"ZIIIZI",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
-0.125,
-0.5,
-0.5,
-0.125,
-0.125,
-0.125
] | 0.970018 | [
0.1168462545542617,
-0.026972130850506856,
-0.20600931729682775,
1.0218307194447722,
1.01684782657755,
-0.487001181761455,
-0.18723924510216475,
-0.19363825099940243,
0.5083138681492403,
0.8592380923212168,
-1.1972997634823022,
-0.3747232322032641,
0.4021503991921809,
0.9788967940340897,
... | {
"n_parameters": 20,
"n_qubits": 6,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 114 |
3edaf02080dd4f2f34de124f69ca8c1c | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [66, 68], "expectation_value": -6.473037878557627, "params": null, "bitstrings": ["0111101", "0111011"], "total_optimization_steps": 18, "probabilities": [0.07436440049462849, 0.8991250369531288], "optimization_time": 19.377591133117676} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.5, "smallest_bitstrings": ["1101011", "0011111", "0111011", "1110101", "0111101"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.14998177780010405) q[0];
ry(3.132322744548159) q[1];
ry(0.2101142822892196) q[2];
ry(2.7281837271741396) q[3];
ry(-0.09003865728064556) q[4];
ry(-0.1262149678024054) q[5];
ry(-0.45465218275571384) q[6];
ry(-0.04767636880660755) q[7];
ry(0.3325816228502928) q[8];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"ZIIIZII",
"ZIIIIIZ",
"ZIIZIII",
"IIIIZZI",
"IIIZIZI",
"ZIIIIZI",
"IIZZIII",
"ZIZIIII",
"IIZIIZI",
"IZIIZII",
"ZZIIIII",
"IZIIIZI",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-2,
-2.5,
-2,
-1.5,
-1.5
] | 0.973959 | [
-0.14998177780010405,
3.132322744548159,
0.2101142822892196,
2.7281837271741396,
-0.09003865728064556,
-0.1262149678024054,
-0.45465218275571384,
-0.04767636880660755,
0.3325816228502928,
0.018934541355018666,
0.2554664640480989,
0.19204851447096838,
2.677386516937803,
-0.16576950063786064... | {
"n_parameters": 32,
"n_qubits": 16,
"optimal_eigenvalue": -4.7187500000000036,
"target_ratio": 0.97,
"target_value": -4.5771875000000035
} | 20 |
06224520ded029e940b1fde3f5ab3e3b | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [17, 37], "expectation_value": -3.003065798986642, "params": null, "bitstrings": ["101110", "011010"], "total_optimization_steps": 28, "probabilities": [0.05910217727314931, 0.8451772667375618], "optimization_time": 20.09878182411194} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + -0.25 * Z(1) + -0.5 * Z(0) + -1.0 * Z(2) + -0.25 * Z(3) + -0.5 * Z(4) + -0.25 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["011010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.4604609545342588) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(0.4604609545342588) q[1];
cx q[0], q[1];
rz(-0.5961919399360327) q[0];
rx(-0.8240718412880712) q[0];
cx q[3], q[2];
rz(0.4604609545342588) q[2];
cx q[3], q[2];
h... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"IZZIII",
"IIZIZI",
"ZIIIZI",
"ZIZIII",
"ZIZIZI",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.25,
-0.5,
-1,
-0.25,
-0.5,
-0.25
] | 0.720304 | [
0.4604609545342588,
-1.0130158982300328,
-0.5961919399360321,
0.10159268481627397,
-0.8240718412880712,
1.653056793347183,
-2.4998589588665014,
-1.3174178256009759,
-0.48477462442147073
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 246 |
-3581660663551200859 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3, 7], [2, 3, 4, 5, 7], [2, 4, 5, 6], [6, 7], [0, 1, 2, 3, 5, 6], [0, 1, 2, 4, 6]]} | {"states": [221, 237], "expectation_value": -0.7963662703526986, "params": [[-0.4782], [0.445]], "bitstrings": ["00100010", "00010010"], "total_optimization_steps": 50, "probabilities": [0.012513548184144876, 0.012797373922223899], "optimization_time": 8.547581911087036} | 0.16666666666666669 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.11666666666666667 * (Z(3) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(3)) + 0.18333333333333335 * (Z(4) @ Z(2)) + 0.05 * (Z(4) @ Z(0)) + 0.05 * (Z(4) @ Z(3)) + 0.05 * (... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.6], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5999999999999994, "smallest_bitstrings": ["00010010"], "largest_eigenvalue": 5.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(1.2554665715868739e-08) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(1.2554665715868739e-08) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-9.759767354916478e-09) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(-5.06836628530754) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"IIIZIZII",
"IIIZIIIZ",
"IIIZZIII",
"ZIIZIIII",
"IIZIIZII",
"IIZIIIIZ",
"IIZIZIII",
"ZIZIIIII",
"IIZZIIII",
"IZIIIZII",
"IZIIIIIZ",
"IZIIZIII",
"ZZIIIIII",
"IZIZIIII",
"IZZIIIII",
"IIIIIZZI",
"IIIIIIZ... | [
0.16666666666666669,
0.16666666666666666,
0.11666666666666667,
0.13333333333333333,
0.08333333333333333,
0.13333333333333333,
0.18333333333333335,
0.05,
0.05,
0.05,
0.16666666666666666,
0.03333333333333333,
0.08333333333333334,
0.05,
0.13333333333333333,
0.16666666666666669,
0.083333... | 0.966573 | [
1.2554665715868739e-8,
-9.759767354916478e-9,
-5.383047174839652e-10,
-1.1461286042698217e-8,
-5.06836628530754,
-1.4925082597623397e-8,
7.340038086986612e-8,
9.842674390235146e-9,
-1.5707963964534881,
-1.570796340835728,
1.5707962540953766,
1.5707963409311658,
1.5707963186276215
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -1.6,
"target_ratio": 0.97,
"target_value": -1.552
} | 375 |
fac11526ce1264f55ea41992c8ef377d | 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": [882, 626], "expectation_value": -46.824153181024364, "params": [2.3069, 0.0006000000000000001, 1.4858, 0.001, 0.4308, 0.0057, 2.3039, 0.0034000000000000002, 2.3055000000000003, 0.0031000000000000003, 2.3038000000000003, 0.005200000000000001, 1.4300000000000002, 0.009000000000000001, -0.0026000000000000003, ... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(9) @ Z(3)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(8) @ Z(9)) + 8.0 * Z(0) + 4.0 * Z(1) + 7.0 * Z(3) + -1.5 * Z(2) + 15.0 * Z(5) + 8.5 * Z(4) + 3.5 * Z(6) + 1.0 * Z(9) + 9.0 * Z(8) + -10... | 18 | 10 | 1 | {"smallest_eigenvalues": [-83.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.5, "smallest_bitstrings": ["0110001101"], "largest_eigenvalue": 123.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(2.8886004538719945) q[0];
rz(0.4680561513177728) q[0];
rx(0.17040284847141707) q[1];
rz(0.6141019428092582) q[1];
rx(0.2848019670185904) q[2];
rz(-0.4749931922373646) q[2];
rx(3.226399872521294) q[3];
rz(0.29620069200544563) q[3];
rx(3.08003413061136) q[4];
rz(0.260... | OPENQASM 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": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIZIZIIII",
"ZIIIIIZIII",
"IZIIIIIIZI",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIZIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
8,
4,
7,
-1.5,
15,
8.5,
3.5,
1,
9,
-10.5
] | 0.978149 | [
2.8886004538719945,
0.35170679148453377,
0.17040284847141707,
0.6141019428092582,
0.2848019670185904,
-0.4749931922373646,
3.226399872521294,
0.29620069200544563,
3.08003413061136,
0.26094620568515253,
2.9489735170066647,
0.010402237686998439,
0.10032957469565686,
0.2326987196664782,
0.3... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -83.5,
"target_ratio": 0.97,
"target_value": -80.995
} | 19 |
-2507236489906299470 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3, 5, 7], [0, 2, 5], [1, 3, 7], [1, 2, 5, 6, 7, 8], [4, 7], [8, 1, 3, 4], [0, 3, 6], [0, 8, 5], [0, 4], [0, 5, 6]]} | {"states": [469, 455], "expectation_value": -2.9399877557063934, "params": null, "bitstrings": ["000101010", "000111000"], "total_optimization_steps": 65, "probabilities": [0.09380106850134806, 0.8334081762616561], "optimization_time": 141.1128966808319} | 0.25 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.5833333333333333 * (Z(5) @ Z(0)) + 0.25 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.11666666666666667 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.19999999999999998 * (Z(2) @ Z(5)) + 0.03333333333333333 * (Z(2) @ Z(7)) + 0.25 * (Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0000000000000004, "smallest_bitstrings": ["000111000"], "largest_eigenvalue": 8.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.4621848785260958) q[0];
cx q[3], q[0];
h q[4];
h q[5];
cx q[3], q[5];
rz(-0.24633979025210903) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(0.5585434712554884) q[5];
cx q[0], q[5];
h q[6];
h q[7];
cx q[3], q[7];
rz(0.4621848... | 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(1.5547) 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] = m... | [
"IIIIIZIIZ",
"IIIZIZIII",
"IIIZIIIIZ",
"IZIIIZIII",
"IZIIIIIIZ",
"IZIZIIIII",
"IIIIIIZIZ",
"IIIZIIZII",
"IZIIIIZII",
"IIIIIZIZI",
"IIIZIIIZI",
"IZIIIIIZI",
"IIIIIIZZI",
"IIZIIZIII",
"IIZIIIIIZ",
"IIZZIIIII",
"IZZIIIIII",
"IIZIIIZII",
"IIZIIIIZI",
"ZIIIIZIII",
"ZIIIIIIIZ",
"... | [
0.25,
0.08333333333333333,
0.5833333333333333,
0.25,
0.08333333333333333,
0.11666666666666667,
0.16666666666666666,
0.19999999999999998,
0.03333333333333333,
0.25,
0.03333333333333333,
0.19999999999999998,
0.03333333333333333,
0.16666666666666666,
0.3333333333333333,
0.1999999999999999... | 0.629581 | [
0.4621848785260958,
-0.24633979025210903,
0.5585434712554884,
0.20372382142248452,
0.1205263602388866,
0.1377878403298757,
0.009281946275014864,
0.11099929083186057,
0.8123780263308221,
0.0020897788715240496,
0.8207887933823867,
0.7417172863617794,
1.477106836149287,
-0.38128955602493486,
... | {
"n_parameters": 15,
"n_qubits": 9,
"optimal_eigenvalue": -3.166666666666665,
"target_ratio": 0.97,
"target_value": -3.071666666666665
} | 365 |
42431c1c8039d047c82f7ec388df22d2 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -19.78950483526033, "params": [0.0033, 0.0051, 0.0025, 0.006500000000000001, 1.6104, 0.0004, 0.0023, 0.0064, 0.0025, 0.0027, 0.0024000000000000002, 0.0015, 0.0026000000000000003, 0.0079, 0.0023, 0.0053, 0.0027, 0.0008, -0.0027, 0.008700000000000001, 0.0023, 0.004200000000000001... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(8) @ Z(1)) + -1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + -1.5 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.25 * (Z(9) @ Z(1)) + -1.0 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(3)) + -0.5 * (Z(10) @ Z(4)) + -1.0 * (Z(10) @... | 3 | 11 | 1 | {"smallest_eigenvalues": [-20.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.75, "smallest_bitstrings": ["11011111111"], "largest_eigenvalue": 19.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.09389660486124465) q[0];
rz(1.739473683193994) q[0];
rx(0.024550674781491463) q[1];
rz(1.8928395778798697) q[1];
rx(0.7796781262077006) q[2];
rz(1.668648738045957) q[2];
rx(0.026833085724702232) q[3];
rz(1.667476798602407) q[3];
rx(-0.002585750089636761) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIIZZIIII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIZIIZIIIII",
"IIIIIIIZIZI",
"IIIIIIZZIII",
"IZIIIIIIIZI",
"IZIIIIZIIII",
"IZIIIIIZIII",
"ZIIIIIZIIII",
"ZIZIIIIIIII",
"ZIIIIIIZIII",
"ZZIIIIIIIII",
"IIIIIIIIZIZ",
"IIIIIIZIZII",
"IIIIIIIZZ... | [
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-1,
-0.5,
-1.5,
-1,
-1.25,
-1,
-0.25,
-0.5,
-1,
-0.75,
-0.5,
2.25,
-0.75,
-0.5,
-0.25,
-0.75,
-0.25,
-0.25,
-1.25,
-0.75,
-0.75,
-0.25,
-1,
-1,
-1,
-0.5,
-0.75,
-1.75,
-0.25,
2.25,
0.25,
-3.25,
-1.25,
0.5,
... | 0.982284 | [
0.09389660486124467,
0.16867735639909773,
0.024550674781491463,
0.32204325108497317,
0.7796781262077006,
0.09785241125106008,
0.026833085724702235,
0.0966804718075106,
-0.002585750089636761,
0.15967284804835535,
0.049964363057277195,
0.5048930710189773,
-0.030044320599898287,
0.16119538034... | {
"n_parameters": 131,
"n_qubits": 11,
"optimal_eigenvalue": -20.75,
"target_ratio": 0.97,
"target_value": -20.127499999999998
} | 20 |
5144181ac27497fdfa9bdb5b8b799630 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [2, 0], "expectation_value": -0.19089142985593358, "params": [[-0.0375, -0.0412, -0.0455, -0.043500000000000004], [0.0505, 0.044500000000000005, 0.0517, 0.0517]], "bitstrings": ["01", "11"], "total_optimization_steps": 10, "probabilities": [0.26690840471967636, 0.272360250384469], "optimization_time": 1.0331... | 0.5 * (Z(0) @ Z(1)) + -1.0 * Z(0) + -1.0 * Z(1) | 1 | 2 | 4 | {"smallest_eigenvalues": [-1.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.5, "smallest_bitstrings": ["11"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[2] q;
h q[0];
ry(-1.5486225528998339) q[0];
h q[1];
ry(-1.5451929801415893) q[1];
| OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[2] c;
qubit[2] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"ZZ",
"IZ",
"ZI"
] | [
0.5,
-1,
-1
] | 0.999809 | [
-1.5486225528998339,
-1.5451929801415893
] | {
"n_parameters": 2,
"n_qubits": 2,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 1 |
4cda5dee957682c08dbd329bc943c5ef | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [20, 34], "expectation_value": -0.16798925953729563, "params": [[0.04], [-0.0392]], "bitstrings": ["1101011", "1011101"], "total_optimization_steps": 10, "probabilities": [0.008186255709799575, 0.008186255709799584], "optimization_time": 1.8849282264709473} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.0, "smallest_bitstrings": ["1011101", "0110111", "1111100", "1101011", "1101110", "1110110"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.02594948614362916) q[0];
ry(0.159556898477795) q[1];
ry(3.220243018720069) q[2];
ry(-0.26118800429812855) q[3];
ry(-0.11708632410814492) q[4];
ry(2.6961583172483548) q[5];
ry(-0.003793597072665269) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IZIIIIZ",
"IZIIZII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IIIZIZI",
"IIIZZII",
"IIZZIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-2,
-1.5,
-2,
-1.5,
-1,
-1.5
] | 0.971524 | [
-0.02594948614362916,
0.159556898477795,
3.220243018720069,
-0.26118800429812855,
-0.11708632410814492,
2.6961583172483548,
-0.003793597072665269,
0.016356167604613624,
-0.03425868078488903,
-0.02361447462930349,
-0.019473692669395654,
0.5536734217067089,
0.22703499698521307
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 41 |
919ebe96150ea33963e1b88a334f3105 | 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": 7}, {"capacity": 5, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 6, "source": 3, ... | {"states": [128, 127], "expectation_value": -1.4453630728026345, "params": [[-0.0494, -0.059300000000000005], [0.0575, 0.0631]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.006970674157873371, 0.007254302937521204], "optimization_time": 3.224203109741211} | 0.25 * (Z(0) @ Z(7)) + -1.25 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(6)) + -0.75 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(4)) + -0.25 * Z(7) + -0.25 * Z(0) + -2.5 *... | 1 | 8 | 2 | {"smallest_eigenvalues": [-10.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 15.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.47997180051034355) q[0];
h q[1];
ry(0.7419521490927121) q[1];
h q[2];
ry(0.7805616775622914) q[2];
h q[3];
ry(1.6653574126053823) q[3];
h q[4];
ry(0.8326787063026911) q[4];
h q[5];
ry(0.8326787063026911) q[5];
cx q[3], q[5];
ry(-0.8326787063026911) q[5];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"ZIIIIIIZ",
"IZIIIIZI",
"IIIIIZZI",
"IZIIZIII",
"IZIZIIII",
"IIIZIZII",
"IIIZZIII",
"ZIZIIIII",
"IZZIIIII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII"
] | [
0.25,
-1.25,
-1,
-0.75,
-0.75,
-0.75,
-1.5,
-0.5,
-0.25,
-1.75,
-0.25,
-1.25,
-0.25,
-0.25,
-2.5,
-1.5,
0.25,
2.5,
-0.25,
2
] | 0.982925 | [
1.6653574126053823,
1.561123355124583,
1.4839042981854242,
1.4663457416610364,
-0.9599436010206871,
1.605096316058872,
-0.46828747053853337,
0.1743353193150963,
0.01566324934925098,
-0.12821055154197955,
0.5585485193403721,
0.1633788020804623,
-0.4348264220333006,
-0.22682935549148475,
0... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -10.75,
"target_ratio": 0.97,
"target_value": -10.4275
} | 5 |
ac81b28b357c708e38cfe204b2313bba | 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": [341, 333], "expectation_value": -110.11374016174524, "params": [[[0.7732, 0.0022], [0.1332, -0.0031000000000000003], [0.7673, 0.0018000000000000002], [0.09330000000000001, -0.0033], [0.8350000000000001, 0.021], [0.0041, 0.0206], [0.7094, 0.0044], [0.0454, 0.041800000000000004], [0.31220000000000003, 0.30110... | 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(6) @ Z(2)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(9) @ Z(8)) + 7.0 * (Z(10) @ Z(3)) + 7.0 * (Z(10) @ Z(4)) + 7.0 * (Z(10) @ Z(8)) + 7.0 * (Z(10) @ Z(9)) + 10.5 * Z(3) + 16.5 * Z(2) + 14.0 * Z(4) + -2.0 * Z(5... | 15 | 11 | 4 | {"smallest_eigenvalues": [-117.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -106.0, "smallest_bitstrings": ["11010110010"], "largest_eigenvalue": 201.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.6255043843127931) q[0];
ry(0.15207842750614192) q[1];
ry(0.7648926938943383) q[2];
ry(-0.04334744770387369) q[3];
ry(0.8946305152480196) q[4];
ry(0.209015823405013) q[5];
ry(0.43389442489288094) q[6];
ry(0.35399283962886974) q[7];
ry(0.6026301761914119) q[8];
ry(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIIZIIIZII",
"IIIZZIIIIII",
"IIZIIIIIZII",
"IIZIZIIIIII",
"IZZIIIIIIII",
"ZIIIIIIZIII",
"ZIIIIIZIIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IIIZIIIIIII",
"IIZIIIIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
10.5,
16.5,
14,
-2,
9,
0.5,
23,
3.5,
20.5,
-11,
-10.5
] | 0.971371 | [
0.6255043843127931,
0.15207842750614192,
0.7648926938943383,
-0.04334744770387369,
0.8946305152480196,
0.209015823405013,
0.43389442489288094,
0.35399283962886974,
0.6026301761914119,
0.26508984382236506,
0.13921569665215458,
0.03653563750869368,
0.004965517611422728,
-0.12747604205352803,... | {
"n_parameters": 87,
"n_qubits": 11,
"optimal_eigenvalue": -117,
"target_ratio": 0.97,
"target_value": -113.49
} | 56 |
-2768195584820444439 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 6, 7], [0, 2, 5, 6, 7], [2, 3], [4, 6], [8, 5], [9, 4]]} | {"states": [925, 413], "expectation_value": -1.2503456095968644, "params": [0.8962, -0.0088, 0.8871, 0.0067, 0.9042, 0.018600000000000002, 0.9027000000000001, 0.0, 0.8972, 0.0076, 0.894, 0.0092, 0.887, -0.13820000000000002, 0.28090000000000004, 0.0038, 0.5652, -0.046900000000000004, 0.4677, 0.0047, 0.9094000000000001, ... | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.13333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.13333333333333333 * (Z(7) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(6)) + 0.05 * (Z(2) @ Z(0)) + 0.05 * (Z(2) @ Z(6)) + 0.05 * (Z(2) @ Z(7)) + 0.05 * (Z(5) @ Z(0)) + ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-2.45, -2.45, -2.45, -2.45, -2.45, -2.45, -2.45, -2.45, -2.45, -2.45], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.4499999999999997, "smallest_bitstrings": ["1010100010", "1001110000", "0001110100", "0001100110", "1001100010", "0001001011", "0110110000", "0010100110", "000... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.6848613199975431) q[0];
rz(1.540535185420108) q[0];
rx(1.68024639002566) q[1];
rz(1.4355365007920415) q[1];
rx(1.9275614896376034) q[2];
rz(1.593617111327431) q[2];
rx(-0.13618682984450037) q[3];
rz(1.109094533066978) q[3];
rx(-0.04007978286414298) q[4];
rz(2.2758... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IIIIIIIZIZ",
"IIIZIIIZII",
"IIZIIIIZII",
"IIIIZIIIIZ",
"IIIZZIIIII",
"IIZIZIIIII",
"IIIIZIIZII",
"IIIIIIZZII",
"IIIZIZIIII",
"IZIIZIIIII",
"ZIIIIZIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIZIIIIII"... | [
0.08333333333333333,
0.08333333333333333,
0.13333333333333333,
0.08333333333333333,
0.13333333333333333,
0.13333333333333333,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.5,
0.5,
0.5,
0.5,
0.125,
0.22499999999999995,
0.22499999999999998,
0.22499999999999995,
0.09999999999999... | 0.970907 | [
0.6848613199975431,
-0.03026114137478854,
1.68024639002566,
-0.1352598260028548,
1.9275614896376034,
0.022820784532533903,
-0.1361868298445004,
-0.46170179372791903,
-0.04007978286414299,
0.7050658005227827,
1.6746083271680394,
0.0744600336962602,
0.7354681502258213,
-0.08199254487687627,
... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -2.45,
"target_ratio": 0.97,
"target_value": -2.3765
} | 108 |
-7846981583810740083 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 3, 4, 6, 7], [0, 1, 3, 5, 6, 7], [0, 1, 2, 3, 5, 6]]} | {"states": [218, 94], "expectation_value": -0.4555692046930213, "params": null, "bitstrings": ["00100101", "10100001"], "total_optimization_steps": 59, "probabilities": [0.05143181071757846, 0.06442565981087768], "optimization_time": 88.08225345611572} | 0.06666666666666667 * (Z(1) @ Z(2)) + 0.06666666666666667 * (Z(3) @ Z(2)) + 0.1 * (Z(3) @ Z(1)) + 0.03333333333333333 * (Z(4) @ Z(2)) + 0.03333333333333333 * (Z(4) @ Z(1)) + 0.03333333333333333 * (Z(4) @ Z(3)) + 0.06666666666666667 * (Z(6) @ Z(2)) + 0.1 * (Z(6) @ Z(1)) + 0.1 * (Z(6) @ Z(3)) + 0.03333333333333333 * (Z(6... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.6000000000000001, -0.6000000000000001, -0.6000000000000001, -0.6000000000000001, -0.6000000000000001], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -0.6, "smallest_bitstrings": ["00100101", "10100001", "10011000", "01001100", "11001000"], "largest_eigenvalue": 3.000000000000... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.6292595462946772) q[0];
ry(-2.701770507212999) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
ry(1.5624701357349577) q[3];
cx q[3], q[1];
ry(-0.32625187706642256) q[1];
cx q[3], q[1];
h q[4];
h q[5];
cx q[5], q[0];
ry(0.6292595462946772) q[0];
cx q[5], q[0];
ry(-0.41... | 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(1.0342) 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[... | [
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"IIIZIZII",
"IIIZIIZI",
"IIIZZIII",
"IZIIIZII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"ZIIIIZII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIZIIZ",
"IZIIIIIZ",
"ZIIIIIIZ",
"IIZIIZII",
"IIZIIIZI",
"IIZIZII... | [
0.06666666666666667,
0.06666666666666667,
0.1,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.06666666666666667,
0.1,
0.1,
0.03333333333333333,
0.03333333333333333,
0.06666666666666667,
0.06666666666666667,
0.03333333333333333,
0.06666666666666667,
0.03333333333333333... | 0.975581 | [
1.5624701357349577,
0.8047223033516799,
0.6525037541328451,
1.2313243483198821,
1.0319614659084728,
-0.2742264243290439,
-0.010170636643240503,
-1.2585190925893543,
-0.8255360707807295,
0.07306652619894928,
0.12312937054121756,
-0.08767767218746964,
0.4481927375071594,
-1.1944116602513355,... | {
"n_parameters": 58,
"n_qubits": 8,
"optimal_eigenvalue": -0.6000000000000001,
"target_ratio": 0.97,
"target_value": -0.5820000000000001
} | 44 |
df6b0a55435c2e6f48611bfeaa2a8959 | max_flow | vqe | {"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": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "so... | {"states": [63, 55], "expectation_value": -5.33852047297719, "params": [-0.0027, 0.9634, -0.0029000000000000002, 0.8923000000000001, 0.7582, 0.013600000000000001, -0.5679000000000001, -0.0563, -0.5168, -0.168, 1.0470000000000002, 0.0264, 1.0478, 0.0751, 1.0476, -0.0102, -0.0034000000000000002, 0.9513, -0.0023, 0.881300... | 0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.5 ... | 18 | 8 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["10100000", "11001000", "11010000"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(0.023782534509358612) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(-0.2362354194851212) q[1];
cx q[5], q[1];
cx q[0], q[1];
rz(-0.2362354194851212) q[1];
cx q[0], q[1];
cx q[5], q[2];
rz(-0.2362354194851212) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIZIIIIZ",
"IIZIIIZI",
"IIIIIIZZ",
"IIZIIZII",
"IIIIIZIZ",
"IIIIIZZI",
"IZZIIIII",
"IZIIIIZI",
"ZIZIIIII",
"ZIIIIIZI",
"ZZIIIIII",
"IIIIZIZI",
"IZIIZIII",
"ZIIIZIII",
"IIIZIIZI",
"IZIZIIII",
"ZIIZIIII",
"IIIZZIII",
"IIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IZIIIII... | [
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
1.5,
-0.5,
0.5,
0,
2,
2,
-0.5,
-0.5
] | 0.690016 | [
0.023782534509358612,
-0.2362354194851212,
0.0030841673081000017,
-1.5267108229648716,
-1.5111620816372704,
-1.5332934594005045,
1.9304385541401896
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 207 |
49178776ac26264118c80ca0dee8c33c | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 7, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 7, "s... | {"states": [0, 1], "expectation_value": -19.38948451805486, "params": [-0.0018000000000000002, -0.20980000000000001, 0.0012000000000000001, -0.2033, -0.0026000000000000003, -0.17400000000000002, -0.0015, -0.1884, 0.0026000000000000003, -0.1512, -0.0064, -0.2295, -0.0034000000000000002, -0.2093, -0.0029000000000000002, ... | -1.75 * (Z(0) @ Z(1)) + 2.0 * (Z(8) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.75 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(8)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(8)) + -2.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.75 * (Z(7) @ Z(1)) + -2.0 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z... | 5 | 9 | 3 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.005209796556052758) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.508260866961924) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(0.005209796556052758) q[3];
cx q[1], q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(-0.21190051229646908) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"ZIIIIIIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"ZIIIIZIII",
"IIIZIIIZI",
"ZIIZIIIII",
"IIIZIIZII",
"IIIZIZIII",
"IZIIIIIZI",
"IZIIIIZII",
"IZIIIZIII",
"IIIIZIZII",
"IZIIZIIII",
"IIZIIIZII",
"IIZIIZIII",
"IIZIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIZII",
"... | [
-1.75,
2,
-0.75,
-1.75,
-1,
-0.5,
-0.25,
-2.25,
-1,
-1.75,
-2,
-1,
-0.5,
-1,
-1.75,
-1.5,
-0.75,
3,
-0.25,
0.75,
-0.75,
0.75,
0,
-2.25,
-0.75,
-0.5
] | 0.842865 | [
0.005209796556052758,
2.270453380095507,
-0.508260866961924,
-0.06326024713277677,
-0.21190051229646908,
0.10461311018688012,
-0.5338613981254241,
-0.05361648050838588,
-0.46118159609524406,
-0.5519498879422366,
-1.2780043064135709,
-0.7661969612317444,
-1.6536062948954986,
-0.030636363917... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -20.5,
"target_ratio": 0.97,
"target_value": -19.884999999999998
} | 500 |
04fe200220cb0278b572d83172c75de9 | 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": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 6... | {"states": [5, 1], "expectation_value": -1.5295245071334964, "params": [[0.0228, 0.054400000000000004, 0.068, 0.0763], [0.0023, -0.027600000000000003, -0.0436, -0.056400000000000006]], "bitstrings": ["1111010", "1111110"], "total_optimization_steps": 10, "probabilities": [0.017492704923050915, 0.019114466001077173], "o... | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(5) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * Z(1) + -0.25 * Z(0) + -1.5 * Z(2) + -0.75 * Z(5) + 0.75 * Z(6) + 0.0 * Z(3) + ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["1111110", "1111010"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.06130815730018118) q[0];
rz(0.463469290764003) q[0];
rx(-0.07581104059622698) q[1];
rz(0.0489247887747748) q[1];
rx(-0.011251041592074667) q[2];
rz(-0.5619835883705591) q[2];
rx(-0.00789090442000682) q[3];
rz(0.27967715048844255) q[3];
rx(0.20171769347520233) 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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IZIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"IIIZIZI",
"IIIZZII",
"IZIZIII",
"IIZIIZI",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
-0.75,
-1,
-1.25,
1,
-0.25,
-0.75,
-0.75,
-0.5,
-1,
-1,
-0.25,
-0.25,
-1.5,
-0.75,
0.75,
0,
2
] | 0.976998 | [
-0.061308157300181174,
0.30964234416005165,
-0.07581104059622698,
-0.17585963221822506,
-0.01125104159207467,
-0.4382858872484008,
-0.007890904420006818,
0.39046647275242663,
0.2017176934752023,
-0.3470176638746595,
0.08692341497440934,
-0.309682958908232,
0.7849760118838354,
0.03717952235... | {
"n_parameters": 71,
"n_qubits": 7,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 5 |
6127041985633351991 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 7], [2, 3, 6, 7], [3, 4, 6], [0, 4], [1, 7], [4, 5]]} | {"states": [120, 151], "expectation_value": -0.859114833252279, "params": [[-0.3754], [0.3743]], "bitstrings": ["10000111", "01101000"], "total_optimization_steps": 40, "probabilities": [0.014436552844748231, 0.014882618286658279], "optimization_time": 1.3200693130493164} | 0.5 * (Z(4) @ Z(7)) + 0.08333333333333333 * (Z(2) @ Z(7)) + 0.08333333333333333 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(7)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(3)) + 0.5 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.583333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["01101000"], "largest_eigenvalue": 3.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[4];
rz(-0.8807926365932769) q[4];
cx q[7], q[4];
cx q[7], q[2];
rz(-0.14114451701194164) q[2];
cx q[7], q[2];
cx q[7], q[3];
rz(-0.14114451701194164) q[3];
cx q[7], q[3];
cx q[4], q[3];
rz(-0.064... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[4];
rz(x0) q[4];
cx q[7],... | null | {"circuits": [], "gradients": []} | [
"ZIIZIIII",
"ZIIIIZII",
"ZIIIZIII",
"IIIZZIII",
"IIIIZZII",
"ZZIIIIII",
"IZIZIIII",
"IZIIIZII",
"IZIIZIII",
"IIIZIIIZ",
"ZIIIIIZI",
"IIZZIIII",
"ZIIIIIII",
"IIIZIIII",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIZIIIII"
] | [
0.5,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.25,
0.5,
0.5,
0.5,
0.125,
0.16666666666666674,
0.125,
0.29166666666666663,
0.29166666666666663,
0,
0,
0
] | 0.528268 | [
-0.8807926365932769,
-0.14114451701194164,
-0.06422369246339367,
-0.2092662464048337,
-0.057943555189964815,
-1.1975601172324555,
0.04005062200465552,
0.8139421699326758
] | {
"n_parameters": 8,
"n_qubits": 8,
"optimal_eigenvalue": -2.583333333333333,
"target_ratio": 0.97,
"target_value": -2.505833333333333
} | 174 |
7a09bb615dc1fdde1d903c08e99cd28d | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 6},... | {"states": [240, 2032], "expectation_value": -20.28748244617207, "params": null, "bitstrings": ["11100001111", "00000001111"], "total_optimization_steps": 100, "probabilities": [0.09579844364511071, 0.511052096178103], "optimization_time": 243.48374676704407} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(5) @ Z(4)) + -2.5 * (Z(7) @ Z(8)) + 1.5 * (Z(10) @ Z(8)) + -2.5 * (Z(10) @ Z(7)) + -2.5 * (Z(9) @ Z(8)) + 1.0 * (Z(9) @ Z(7)) + -2.5 * (Z(9) @ Z(10)) +... | 1 | 11 | 1 | {"smallest_eigenvalues": [-23.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["00000001111"], "largest_eigenvalue": 24.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(0.7377648917341875) q[0];
h q[1];
h q[2];
ry(0.5290691722403622) q[2];
cx q[1], q[2];
ry(-0.5290691722403622) q[2];
cx q[1], q[2];
cx q[2], q[0];
ry(-0.7377648917341875) q[0];
cx q[2], q[0];
ry(0.7930234427460806) q[1];
cx q[0], q[1];
ry(-0.7930234427460806)... | null | {"node": 10} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc... | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIZIIZIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIZZIIIIIII",
"ZIZIIIIIIII",
"ZIIZIIIIIII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIZIIIIII",
"IIIIIIIZI... | [
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
-2,
0.5,
-1.5,
-2.5,
1.5,
-2.5,
-2.5,
1,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-2,
1.5
] | 0.970849 | [
1.475529783468375,
-1.5628996802404518,
-1.3514987704248436,
0.09167148618091428,
1.5571746419840333,
1.5845855566542077,
-0.8150185511618434,
-0.5153101796557423,
-0.9399417552202401,
-0.9397578554770822,
0.04241676698596278,
-0.17919626492358678,
1.0581383444807244,
1.5860468854921612,
... | {
"n_parameters": 59,
"n_qubits": 11,
"optimal_eigenvalue": -23.5,
"target_ratio": 0.97,
"target_value": -22.794999999999998
} | 141 |
07dc38d1dc363182151755eeee21e61e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, ... | {"states": [0, 127], "expectation_value": -1.623403315535954, "params": [[-0.0514, -0.0614], [0.0629, 0.0675]], "bitstrings": ["11111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.008086300102926929, 0.00845249813581149], "optimization_time": 3.567258358001709} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(4)) + -1.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -1.25 * (Z(7) @ Z(1)) + 1.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(4)) + -2.25 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @... | 1 | 8 | 2 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(-5.135206862499014e-07) q[0];
h q[0];
rx(-1.0866163553076218e-07) q[1];
h q[1];
rx(0.0194805872738... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"IZIZIIII",
"IIZIIIZI",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIZZII",
"IIIZIZII",
"ZIIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZII"
] | [
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-1.25,
-1.5,
-1,
-1.25,
1.75,
-0.75,
-2.25,
-1,
-1.25,
0.5,
-0.25,
0,
1.5,
-0.25,
0,
-1.5,
0
] | 0.195652 | [
-5.135206862499014e-7,
-1.0866163553076218e-7,
0.019480587273897846,
0.977683709348563,
0.8263827168396609,
-0.12240171832566504,
-7.337275034990325e-8,
3.936838968556609e-7,
-1.8852554131208358e-7,
-0.019480723463502873,
-0.12064363564363532,
-0.20277298075242142,
0.12240156398596434,
-3.... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 500 |
-6258581222996323946 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 8, 9, 10], [2, 4, 5, 7], [0, 3, 4, 6, 8, 10], [0, 1, 2, 7, 8, 9], [11, 6], [2, 3, 5, 7, 8, 10], [1, 10, 5], [1, 2, 6], [3, 11, 5, 7], [0, 6, 7], [0, 1, 7, 9, 10], [11, 9, 10, 3], [0, 1, 4, 7, 8], [11, 4], [0, 5, 7, 8, 9], [1, 2, 8, 10, 11], [8, 0, ... | {"states": [763, 2811], "expectation_value": -3.644433324213853, "params": [[[1.627, 0.0036000000000000003], [0.9284, 0.006900000000000001], [3.1384000000000003, 0.00030000000000000003], [0.2807, 0.0094], [2.4723, 0.0032], [3.1390000000000002, 0.007], [2.9761, 0.0071], [3.1399000000000004, 0.005], [3.1391, 0.0088], [0.... | 0.18333333333333335 * (Z(0) @ Z(1)) + 0.18333333333333335 * (Z(10) @ Z(1)) + 0.3 * (Z(10) @ Z(0)) + 0.13333333333333336 * (Z(11) @ Z(1)) + 0.18333333333333335 * (Z(11) @ Z(0)) + 0.13333333333333336 * (Z(11) @ Z(10)) + 0.31666666666666665 * (Z(2) @ Z(1)) + 0.13333333333333336 * (Z(2) @ Z(0)) + 0.16666666666666669 * (Z(2... | 1 | 12 | 1 | {"smallest_eigenvalues": [-4.283333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.250000000000002, "smallest_bitstrings": ["010100000100"], "largest_eigenvalue": 16.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(2.7578466976135623) q[0];
rz(-0.20104219156001796) q[0];
rx(0.07700937927498555) q[1];
rz(-0.04210254916337348) q[1];
rx(2.9968628510164965) q[2];
rz(-0.3215243712866365) q[2];
rx(0.028396210359961205) q[3];
rz(0.10560851729887857) q[3];
rx(2.934675281913768) 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": []} | [
"IIIIIIIIIIZZ",
"IZIIIIIIIIZI",
"IZIIIIIIIIIZ",
"ZIIIIIIIIIZI",
"ZIIIIIIIIIIZ",
"ZZIIIIIIIIII",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IZIIIIIIIZII",
"ZIIIIIIIIZII",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IZIIIIIZIIII",
"ZIIIIIIZIIII",
"IIIIIIIZIZII",
"IIIIIZIIIIZI",
"IIIIIZIIIIIZ",
"IZIIIZIII... | [
0.18333333333333335,
0.18333333333333335,
0.3,
0.13333333333333336,
0.18333333333333335,
0.13333333333333336,
0.31666666666666665,
0.13333333333333336,
0.16666666666666669,
0.18333333333333335,
0.25,
0.03333333333333333,
0.11666666666666667,
0.03333333333333333,
0.08333333333333334,
0.... | 0.980405 | [
2.7578466976135623,
-0.20104219156001796,
0.07700937927498555,
-0.04210254916337348,
2.9968628510164965,
-0.3215243712866365,
0.028396210359961205,
0.10560851729887857,
2.934675281913768,
0.08708937953382895,
3.3616221688972137,
-0.29119590969932535,
3.2015541725424512,
0.06995440913104371... | {
"n_parameters": 23,
"n_qubits": 12,
"optimal_eigenvalue": -4.283333333333335,
"target_ratio": 0.97,
"target_value": -4.154833333333335
} | 15 |
27549c23db77d5619ad8eab38ad9f3b4 | 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": [1326, 1322], "expectation_value": -89.35960248760898, "params": [-0.0027, 0.7926000000000001, 1.0999, 0.083, 0.5940000000000001, 0.6429, 1.1048, 0.2733, 0.0859, 0.7779, 0.6795, 0.47700000000000004, 1.1058000000000001, 0.39780000000000004, -0.0024000000000000002, -0.7504000000000001, 1.1024, 0.0092, 0.779700... | 8.5 * (Z(2) @ Z(1)) + 8.5 * (Z(3) @ Z(1)) + 8.5 * (Z(3) @ Z(2)) + 8.5 * (Z(4) @ Z(3)) + 8.5 * (Z(6) @ Z(5)) + 8.5 * (Z(10) @ Z(6)) + 8.5 * (Z(8) @ Z(5)) + 8.5 * (Z(8) @ Z(10)) + 8.5 * (Z(9) @ Z(10)) + 8.5 * (Z(9) @ Z(8)) + 8.0 * Z(1) + 1.0 * Z(2) + 15.5 * Z(3) + -3.5 * Z(4) + 3.0 * Z(5) + 7.0 * Z(6) + 15.5 * Z(10) + 18... | 3 | 12 | 2 | {"smallest_eigenvalues": [-137.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -132.0, "smallest_bitstrings": ["101011010101"], "largest_eigenvalue": 198.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.03741975419698608) q[0];
rz(0.8944136601881567) q[0];
rx(1.7396136453953026) q[1];
rz(0.4689954962636924) q[1];
rx(-0.1690529602878803) q[2];
rz(0.431142687323085) q[2];
rx(1.5092136268113883) q[3];
rz(0.4066802721117586) q[3];
rx(-0.2790546503753641) 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, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZZIII",
"IIIIIZZIIIII",
"IZIIIZIIIIII",
"IIIZIIZIIIII",
"IZIZIIIIIIII",
"IZZIIIIIIIII",
"IIZZIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIZII",
"IIIIIIIIZIII",
"IIIIIIIZIIII",
"IIIIIIZIIIII",
"IIIIIZIIIIII",
"IZIIIIIIIIII",
"IIIZIIIII... | [
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8,
1,
15.5,
-3.5,
3,
7,
15.5,
18,
4.5,
-15.5,
-13,
-15.5
] | 0.97112 | [
-0.03741975419698608,
0.8715354956973455,
1.7396136453953028,
0.10531338967309647,
-0.1690529602878803,
0.24003549296080484,
1.5092136268113885,
0.09484679305153333,
-0.2790546503753641,
0.30420874360329603,
0.056584463885020315,
0.6998853331665168,
1.0803176416506757,
0.4020122483130831,
... | {
"n_parameters": 64,
"n_qubits": 12,
"optimal_eigenvalue": -137,
"target_ratio": 0.97,
"target_value": -132.89
} | 17 |
8a5dc9be309c81780f6428266fc77bbc | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 1, "target": 2}]} | {"states": [375, 371], "expectation_value": -4.044049913047912, "params": [0.6762, 0.23020000000000002, 0.5323, 0.2265, 0.8933000000000001, 0.020200000000000003, 0.8989, 0.07100000000000001, 0.8754000000000001, 0.23370000000000002, 0.5318, 0.2189, 0.5283, 0.2092, 0.8921, 0.1724, 0.8853000000000001, 0.10690000000000001,... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.25 * (Z(8) @ Z(3)) + 0.5 * (Z(8... | 18 | 9 | 3 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["100010001", "010001100", "100001010"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-2.322389483957614e-09) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-2.322389483957614e-09) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-2.322389483957614e-09) q[1];
cx q[0], q[1];
h q[3];
cx q[0], q[3];
rz(-2.322389483957614e-09) q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 2, "target": 1}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIZIIZII",
"IIIZIZIII",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIIIIIZII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIZIIIIII",
"IZIIIIZII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
1.5,
1,
1,
1.5,
1,
1.25,
1,
1.25,
1.5
] | 0.714286 | [
-2.322389483957614e-9,
4.1451823289962644e-8,
1.57079638027508,
-1.5711130946503415,
1.570796330588283,
-1.5707963417037913
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 230 |
4ef5b8ae9f7c2af9940d89976f60e031 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [129, 1], "expectation_value": -13.999993443837631, "params": null, "bitstrings": ["01111110", "11111110"], "total_optimization_steps": 23, "probabilities": [6.489457528111626e-07, 0.9999993343841902], "optimization_time": 23.069515705108643} | -0.75 * (Z(0) @ Z(2)) + -1.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(5)) + -1.75 * (Z(4) @ Z(6)) + 0.5 * Z(2) + -0.25 * Z(0) + 1.0 * Z(5) + -0.75 * Z(1) + -1.5 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.12795288251019715) q[0];
rz(0.24012887220426693) q[0];
rx(0.0892816584470969) q[1];
rz(0.12199048082542863) q[1];
rx(-0.012922376209588068) q[2];
rz(0.4041909632624687) q[2];
rx(0.13809242364631746) q[3];
rz(0.4687173788579586) q[3];
rx(-0.01794629686584754) 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(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIZIZ",
"IIZIIIIZ",
"IIIIIZZI",
"IIZIIIZI",
"IIZIZIII",
"IIIIZIZI",
"IZZIIIII",
"IZIIZIII",
"ZIIIIIIZ",
"ZIZIIIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII",
"IIIZIIII"
] | [
-0.75,
-1.5,
-1.25,
-0.25,
-0.25,
-0.25,
-1.5,
-2,
2.5,
-1,
-1.75,
0.5,
-0.25,
1,
-0.75,
-1.5,
1.25,
1.5,
-1.75
] | 0.980057 | [
0.12795288251019715,
0.36515474621129923,
0.08928165844709691,
0.3610421282986562,
-0.012922376209588065,
0.6757660327954275,
0.13809242364631746,
0.7349772309805058,
-0.01794629686584754,
0.6399489508110254,
0.02283802795312584,
0.4418410307019969,
0.13336840086936805,
0.48443543887262297... | {
"n_parameters": 61,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 7 |
72d2d67a4fa44257b665f25f8f557f43 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [352, 353], "expectation_value": -4.830456208394901, "params": [0.2969, 0.3008, 0.0012000000000000001, -0.0031000000000000003, 0.306, 0.3015, 0.30810000000000004, 0.3065, 0.0921, 0.091, 0.0221, 0.0309, 0.0487, 0.0551, 0.0932, 0.0911, 0.2968, 0.29660000000000003, 0.3014, 0.2975, 0.0002, -0.0022, 0.3042, 0.307... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + -2.5 * Z(1) ... | 13 | 9 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.5, "smallest_bitstrings": ["110010101", "010101110", "010011110", "110100101", "011011010"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.46319298208877824) q[0];
rz(-0.1359748111523206) q[0];
ry(-0.08066939474199142) q[1];
ry(0.5652215627318158) q[2];
ry(0.5146507121033013) q[3];
ry(0.08946171308367115) q[4];
ry(0.08109141709473086) q[5];
ry(-0.04534426642287087) q[6];
ry(-0.2723252624507422) 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] 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": []} | [
"IIIIIIIZZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IZIIIIIZI",
"IZIIIIIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"ZIIIIIIZI",
"ZIIZIIIII",
"ZZIIIIIII",
"IIZZIIIII",
"IIZIIIZII",
"IIIIZZIII",
"IIZIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIZIIIII",
"IZIIIIIII",
"IIIIIIZII",
"IIIIIZIII",
"ZIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-1,
-1.5,
-1,
-0.5,
-0.5,
-1,
-1,
-0.5
] | 0.970722 | [
0.46319298208877824,
-0.08066939474199142,
0.5652215627318158,
0.5146507121033013,
0.08946171308367115,
0.08109141709473086,
-0.04534426642287087,
-0.2723252624507422,
0.4957550472610529,
-0.2719496223046412,
-0.3304053535515837,
0.43420331161731696,
0.06844353437465929,
0.2333079393586204... | {
"n_parameters": 103,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 10 |
800f779aab5ac71650acd9af8d6964c8 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [6, 7], "expectation_value": -11.653106053835149, "params": [[[0.4713, 0.183], [0.4667, 0.1835], [0.4706, 0.1835], [0.42160000000000003, -0.18530000000000002], [0.42550000000000004, 0.18530000000000002], [0.8014, -0.0017000000000000001], [0.7983, 0.0014], [0.7908000000000001, 0.002]], [[0.47590000000000005, ... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 1 | 8 | 2 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.43263153788651865) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.33347793652408547) q[1];
h q[2];
ry(-0.33347793652408547) q[2];
ry(-0.18921776981409477) q[3];
rz(-pi) q[3];
ry(-0.9937012523290137) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[2];
ry(0.33347793652408547) q[2];
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[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
2.75,
3,
3,
2.75,
-7,
-7,
-7,
-7.25,
-7.25,
-6.5,
-6.5,
-6.5
] | 0.974682 | [
-1.2455998084576945,
-0.37817131988348546,
-0.795027545328284,
-0.3978475091647948,
-0.27195749704621475,
-0.6669558730481709,
1.361511014481087,
1.3396044443315112,
-0.686274487160188,
1.0423394202220775,
-0.35908583330767535,
-0.2925604938850007,
-0.6062823621828345,
-0.4677930098758491,... | {
"n_parameters": 57,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 23 |
19fcb08f79b69b4852516113e3a7b30b | 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": [711, 709], "expectation_value": -59.24064046676329, "params": [1.1823000000000001, 0.0088, 2.1974, 0.0076, 1.1353, 0.0097, 2.2055000000000002, 0.0055000000000000005, 2.2008, 0.009300000000000001, 1.1752, 0.0083, 0.0018000000000000002, 0.0078000000000000005, -0.0198, 0.0007, 2.2066, 0.0044, 1.4919, 0.0042000... | 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(0) @ Z(3)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(6) @ Z(8)) + 7.0 * (Z(7) @ Z(8)) + 7.0 * (Z(9) @ Z(1)) + 7.0 * (Z(10) @ Z(3)) + 7.0 * (Z(10) @ Z(0)) + 7.0 * (Z(10) @ Z(9)) + 1.0 * Z(2) + 7.0 * Z(1) + 21.0 * Z(3) + 1.5 * Z(0) + ... | 18 | 11 | 1 | {"smallest_eigenvalues": [-121.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -100.5, "smallest_bitstrings": ["10100111010"], "largest_eigenvalue": 151.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.3928376964155762) q[0];
rz(-0.04523473958970481) q[0];
rx(3.301822116084055) q[1];
rz(-0.23167803249843305) q[1];
rx(0.1594765151959437) q[2];
rz(0.1698222831137707) q[2];
rx(3.1609467016414694) q[3];
rz(-0.14278689873096373) q[3];
rx(3.122864515781317) 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, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIIZIIZ",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIZIZIIIIII",
"IIZZIIIIIII",
"IZIIIIIIIZI",
"ZIIIIIIZIII",
"ZIIIIIIIIIZ",
"ZZIIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIIIIIZ",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIZIIIIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
1,
7,
21,
1.5,
12.5,
1.5,
6.5,
-6.5,
-3.5,
3.5,
16
] | 0.981699 | [
0.3928376964155762,
-0.037682838336796455,
3.301822116084055,
-0.23167803249843305,
0.1594765151959437,
0.1698222831137707,
3.1609467016414694,
-0.14278689873096373,
3.122864515781317,
0.4440700363680096,
0.14569390713111105,
0.06360991417438638,
0.133046516232546,
-0.2892848942372774,
-... | {
"n_parameters": 31,
"n_qubits": 11,
"optimal_eigenvalue": -121.5,
"target_ratio": 0.97,
"target_value": -117.85499999999999
} | 24 |
-7469543453404346514 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 7], [1, 3, 5], [2, 3], [4, 5], [1, 2, 5], [0, 1, 3], [0, 2], [0, 4], [3, 6, 7], [1, 2, 7], [0, 3, 6], [0, 5], [5, 6]]} | {"states": [106, 149], "expectation_value": -0.04221346233155394, "params": [[0.0455], [-0.033800000000000004]], "bitstrings": ["10010101", "01101010"], "total_optimization_steps": 10, "probabilities": [0.00404698134644782, 0.004072496927544167], "optimization_time": 0.9247338771820068} | 0.3333333333333333 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(3)) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.333333333333332, "smallest_bitstrings": ["01101010"], "largest_eigenvalue": 10.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.09473190017461222) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[7];
rz(0.09473190017461222) q[7];
cx q[1], q[7];
cx q[0], q[7];
cx q[1], q[3];
rz(0.09473190017461222) q[3];
cx q[1], q[3];
cx q[1], 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;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[7]... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIIZIIZ",
"ZIIIZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIZIII",
"IIIIIZZI",
"IIIIIZIZ",
"ZIIIIZII",
"IIIIZZII",
"IIZIIZII",
"IIIZIIIZ",
"IIZZIIII",
"IZIIIIIZ",
"ZZIIIIII",
"IZIIZIII",
"IZZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"ZIIIIII... | [
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.166666666... | 0.528624 | [
0.09473190017461222,
0.031604898504086196,
0.6317090750973365,
1.4600871669500526,
0.802844505453164,
-0.696280593084564,
-0.7975571447714256
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -3.666666666666665,
"target_ratio": 0.97,
"target_value": -3.5566666666666653
} | 190 |
20b257e7ab3ea05503daa46ec3868b05 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [52, 37], "expectation_value": -4.496464084735706, "params": null, "bitstrings": ["001011", "011010"], "total_optimization_steps": 23, "probabilities": [0.06634840431979211, 0.930366250617222], "optimization_time": 17.863216638565063} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * Z(2) + -0.5 * Z(0) + -1.5 * Z(4) + -1.0 * Z(1) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["001011", "011010"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.5548614983032758) q[0];
h q[1];
ry(-0.4336582153180486) q[1];
h q[2];
ry(-1.5596846869202525) q[2];
h q[3];
ry(1.5548614983032758) q[3];
ry(-0.026435782347820826) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[1];
ry(0.4336582153180486) q[1];
cx q[5], q[1];
ry(-0.7... | 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[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"IIIZZI",
"IZIIZI",
"ZIIZII",
"ZZIIII",
"ZIIIZI",
"IIZZII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1.5,
-1,
-1,
0
] | 0.998061 | [
-1.5596846869202525,
-1.4823995321635313,
1.5548614983032758,
-0.8673164306360972,
0.7054725837623831,
-0.4872816670639519,
0.6442048738368666,
-0.5016801554814053,
0.16957923580848894,
-0.12340870985442795,
0.17931583905653592,
-0.021905959185723592,
-0.12392202456708895,
0.03449940289991... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
1d36f605f450bd24c53bed4c61ab6422 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6... | {"states": [35, 51], "expectation_value": -5.999992674318019, "params": null, "bitstrings": ["1011100", "1001100"], "total_optimization_steps": 25, "probabilities": [0.4999990845657494, 0.4999990845657494], "optimization_time": 18.777302503585815} | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(1) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -1.0 * Z(3) + -0.25 * Z(0) + -0.75 * Z(4) + 0.25 * Z(2) + 0.25 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["1011100", "1001100"], "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(-0.44173747837386507) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(-0.44173747837386507) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.005603409297500889) q[4];
cx q[0], q[4];
cx q[4], q[2];
rz(0.005603409297500889) q[2];
c... | 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(1.5706) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIZIIZ",
"IIZZIII",
"IIZIIIZ",
"IIZIZII",
"IIIIZZI",
"ZIIIIIZ",
"ZIIIIZI",
"IZIZIII",
"IZZIIII",
"IZIIIZI",
"ZZIIIII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIZII",
"IIIIIZI",
"ZIIIIII",
"IZIIIII"
] | [
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-1,
-0.25,
-0.75,
0.25,
0.25,
0.25,
1.25
] | 0.970536 | [
-0.44173747837386507,
0.005603409297500889,
0.05836178307980425,
-1.201402489306377,
-0.9317048549953064,
0.7320633774444789,
0.772973794919639,
-1.6652911638748984,
-0.7518283058778058,
0.06520245980832098,
0.12228192436712314,
-0.10637680738364871,
-0.2779417698846335,
1.5718265483768925... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 91 |
16e531ebd5c4fa365456c9500ea8e716 | 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": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [38, 7], "expectation_value": -12.588143650301648, "params": null, "bitstrings": ["1011001", "1111000"], "total_optimization_steps": 63, "probabilities": [0.10773790860779595, 0.6115449305490317], "optimization_time": 75.07629179954529} | 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 ... | 15 | 7 | 4 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.17931700348995208) q[0];
rz(-0.5295651513983046) q[0];
rx(0.1383091762588557) q[1];
rz(-2.4427159179592346) q[1];
rx(0.19192920998953547) q[2];
rz(0.7692060885471252) q[2];
rx(0.010941951037614334) q[3];
rz(1.0249064769628937) q[3];
rx(3.3823159256033737) q[4];
rz... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5577) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.25,
2.25,
2.5,
2.5,
-3.25,
-3.5,
-3.5,
-3.5,
-3,
-2.75,
-3
] | 0.970005 | [
-0.17931700348995208,
-0.5295651513983046,
0.1383091762588557,
-2.4427159179592346,
0.19192920998953547,
0.7692060885471252,
0.010941951037614334,
1.0249064769628937,
3.3823159256033737,
0.76377487209716,
2.7495714135870237,
0.6576922218401471,
3.0317260152509355,
-2.4912281243830905
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 29 |
d92b7c12d97dc605feea13254bd8dff9 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [9, 41], "expectation_value": -0.22307865028155477, "params": [[-0.06420000000000001], [0.0699]], "bitstrings": ["1110110", "1010110"], "total_optimization_steps": 10, "probabilities": [0.009384541822735045, 0.009385245158316855], "optimization_time": 1.6311924457550049} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(5) @ Z(2)) + 0.0 * Z(1) + -0.25 * Z(0) + -1.0 * Z(2) + -0.75 * Z(4) + 0.75 * Z(6) + 0.75 * Z(3) + 0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["1010110", "1010100", "1110110", "1110100"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.1613355818092186) q[0];
h q[1];
ry(-0.12233573057545974) q[2];
rz(-pi) q[2];
h q[3];
ry(1.3171455343153773) q[3];
h q[4];
ry(-1.4549864237177321) q[4];
h q[5];
h q[6];
cx q[6], q[0];
ry(0.1613355818092186) q[0];
cx q[6], q[0];
ry(-1.3359098122324058) q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[1], q[0];
rz(x0) q[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIIZ",
"IIZIZII",
"ZIIIIZI",
"ZIIIIIZ",
"IIZZIII",
"ZIIZIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
1.75,
-0.25,
-0.5,
-0.5,
0,
-0.25,
-1,
-0.75,
0.75,
0.75,
0.5
] | 0.978301 | [
-0.3226711636184372,
1.0297858894541518,
-1.3860618782316705,
-1.4549864237177321,
-1.2701039327304473,
1.3171455343153773,
0.6533473382192567,
-0.13161175900391658,
-0.23704437420561295,
-0.36147363198884425,
0.07668172061107403,
0.05424147455893963,
0.18792758690886313,
-0.12479743597553... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 14 |
294512af72c0fecd4cefe8fd6a356b5c | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 1, "source": 0, "t... | {"states": [110, 109], "expectation_value": -24.195467082361116, "params": [[-0.0425, -0.007, 0.0216, -0.0001], [0.0748, 0.068, 0.053000000000000005, 0.0616]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.01905659925379202, 0.02149818086928545], "optimization_time": 10.263... | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 5.0 * Z(0) + 11.5 * Z(2) + 13.0 * Z(1) + -3.0 * Z(3) + 2.0 * Z(4) + 14.0 * Z(5) + 9.5 * Z(6) + 12.5 ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-59.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 111.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(0.07402068680094753) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.07402068680094753) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(0.07402068680094753) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[3], q[4];
rz(0.07402068680094753) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIIZZIII",
"IIZIIIIZ",
"IZIIIIZI",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
5,
11.5,
13,
-3,
2,
14,
9.5,
12.5
] | 0.970283 | [
0.07402068680094753,
1.5073614578039751,
-1.2666992684437206,
-1.7659760581336494,
1.1918964393531186,
-0.7174241288636667,
-1.2945818069295907,
0.640345842373991,
-2.0164039672798895,
0.906754320820238,
1.1291606588504102,
-0.0963225932464942,
-0.514025711468184,
-0.3896493296815006,
-0... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -59.5,
"target_ratio": 0.97,
"target_value": -57.714999999999996
} | 81 |
5373136968068689696 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1, 10, 7], [8, 10, 3], [8, 0, 6], [0, 9, 3], [9, 1], [10, 4, 5, 6], [0, 5], [9, 4, 6, 7], [5, 7], [8, 9], [10, 3, 4], [9, 3, 4], [8, 4, 6], [0, 9, 4, 7], [0, 10, 6], [2, 3, 5, 6], [2, 4, 7], [8, 1, 10, 4]]} | {"states": [1644, 1646], "expectation_value": -4.548957573995883, "params": [1.5782, 1.5569000000000002, 1.3136, 1.3171000000000002, 0.5904, 0.5908, 0.5234, 0.5247, 1.5719, 1.5641, 1.5746, 1.5709000000000002, -0.0086, -0.008400000000000001, 1.5694000000000001, 1.5817, 1.6742000000000001, 1.4682000000000002, 0.8508, 0.8... | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(0)) + 0.08333333333333333 * (Z(8) @ Z(2)) + 0.08333333333333333 * (Z(9) @ Z(1)) + 0.16666666666666666 * (Z(9) @ Z(0)) + 0.25 * (Z(9) @ Z(2)) + 0.166666... | 13 | 11 | 1 | {"smallest_eigenvalues": [-5.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.083333333333333, "smallest_bitstrings": ["00110010001"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.7223143888505479) q[0];
rz(0.19774527667393968) q[0];
ry(1.5622863894469547) q[1];
ry(0.20857317637759643) q[2];
ry(0.12059225852325861) q[3];
ry(1.5410803725199818) q[4];
ry(1.583104834575596) q[5];
ry(-0.08190569925219011) q[6];
ry(1.749641942008243) q[7];
ry(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIZIIIIIZII",
"IZIIIIIIIZI",
"IZIIIIIIIIZ",
"IZIIIIIIZII",
"IIIIIIZIIIZ",
"IIIIIIZIZII",
"IZIIIIZIIII",
"IIIZIIIIIIZ",
"IIIZIIIIZII",
"IIZZIIIIIII",
"IZIZIIIIIII",
"IIIZIIZIIII",
"ZIIIIIIIIZI",
"ZIIIIIIII... | [
0.08333333333333333,
0.16666666666666666,
0.25,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.25,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.25,
0.08333333333333333,
0.3333333333333333... | 0.976464 | [
1.7223143888505479,
1.5622863894469547,
0.20857317637759643,
0.12059225852325861,
1.5410803725199818,
1.583104834575596,
-0.08190569925219011,
1.749641942008243,
1.5698037473228366,
1.2905204423521124,
-0.3120921210651051,
0.39549055334787936,
-0.29176340992565747,
-0.14086197580191498,
... | {
"n_parameters": 43,
"n_qubits": 11,
"optimal_eigenvalue": -5.333333333333333,
"target_ratio": 0.97,
"target_value": -5.173333333333333
} | 11 |
d2601bbf36e7658df88520110518167a | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": []} | {"states": [47101, 47085], "expectation_value": -14.944858328763, "params": [[[1.5684, -0.0023, 0.0006000000000000001, 0.0027], [0.0029000000000000002, 0.030000000000000002, 0.0024000000000000002, 0.0039000000000000003], [1.5859, 0.002, 0.006500000000000001, 0.0023], [0.0021000000000000003, -2.0834, -0.1443, 0.0047], [... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) ... | 12 | 16 | 2 | {"smallest_eigenvalues": [-15.999999999999988], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.999999999999956, "smallest_bitstrings": ["0100100000010010"], "largest_eigenvalue": 56.000000000000014} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
ry(1.6170527242996016) q[0];
h q[1];
ry(0.7805138677541621) q[1];
h q[2];
h q[3];
ry(-0.4322759362401726) q[3];
h q[4];
h q[5];
ry(1.6170527242996016) q[5];
h q[6];
ry(0.7805138677541621) q[6];
cx q[0], q[6];
ry(-0.7805138677541621) q[6];
cx q[0], q[6];
cx q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 1}, {"id": 3}, {"id": 0}], "edges": []}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZZIIIIII",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIZIZIIII",
"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... | 0.970924 | [
1.6170527242996016,
1.5610277355083242,
-0.679222417946599,
1.0685797201107086,
-0.7139150329584052,
1.2551773451408712,
-0.8645518724803452,
1.1591405251708378,
-1.2079243771877828,
0.5130784379949134,
-0.5721670552309985,
0.3166512198214887,
-0.5898526595454422,
0.3774141208097306,
-0.... | {
"n_parameters": 46,
"n_qubits": 16,
"optimal_eigenvalue": -15.99999999999997,
"target_ratio": 0.97,
"target_value": -15.519999999999971
} | 6 |
c502b67eb6d91d909ba398fa39bec60c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}]} | {"states": [21, 23], "expectation_value": -0.08290108920208053, "params": [[0.0721], [-0.0694]], "bitstrings": ["01010", "01000"], "total_optimization_steps": 10, "probabilities": [0.03338475601209442, 0.034580336208617286], "optimization_time": 0.7524447441101074} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["01000"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(-0.057394609977100594) q[0];
ry(1.5139044986832286) q[1];
ry(0.02914218421175388) q[2];
ry(-0.044368933537627414) q[3];
ry(1.4230068144719492) q[4];
ry(-0.11603950978641897) q[5];
ry(-0.5094548802261205) q[6];
ry(0.04971594069488461) q[7];
ry(0.04895829829331563) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
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[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[1], q[... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IZIZI",
"ZIIZI",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
0,
0,
0
] | 0.971723 | [
-0.057394609977100594,
1.5139044986832286,
0.02914218421175388,
-0.044368933537627414,
1.4230068144719492,
-0.11603950978641897,
-0.5094548802261205,
0.04971594069488461,
0.04895829829331563,
-0.1877934380534667,
1.2428533808206035,
0.09499352879649384,
2.05426296872183,
0.0193934036593824... | {
"n_parameters": 30,
"n_qubits": 15,
"optimal_eigenvalue": -7.999999999999979,
"target_ratio": 0.97,
"target_value": -7.759999999999979
} | 54 |
7bc4dde9a09d0b94c5097b219891d81a | edge_cover | qaoa | {"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": [4, 9], "expectation_value": -0.059803753800620175, "params": [[0.0785], [-0.0782]], "bitstrings": ["1011", "0110"], "total_optimization_steps": 10, "probabilities": [0.06554484354760114, 0.06857495840536702], "optimization_time": 1.3306121826171875} | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(0) @ Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + -0.25 * Z(0) + -0.5 * Z(1) + -0.25 * Z(3) + -0.75 * Z(2) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.25, "smallest_bitstrings": ["0110"], "largest_eigenvalue": 3.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rz(-0.8856201491506983) q[0];
ry(0.20607187143120437) q[0];
rz(1.691443220073766) q[0];
rz(1.9404906187072166) q[1];
ry(0.12101153113441158) q[1];
rz(-1.8772538795087437) q[1];
rz(-2.137783534785648) q[2];
ry(0.08595900488246716) q[2];
rz(1.6840356586029337) q[2];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[0];
rz(x1) q[0];
cx q[3], q[0];
cx q[2], q[0];
rz(x1) ... | null | {"circuits": [], "gradients": []} | [
"IIZZ",
"ZIIZ",
"IZIZ",
"ZZII",
"ZZIZ",
"ZIZI",
"IIIZ",
"IIZI",
"ZIII",
"IZII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.25,
-0.5,
-0.25,
-0.75
] | 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 |
42c8a30369b7a75bc5bed2e6569b1f7f | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [39, 55], "expectation_value": -8.870067691944683, "params": null, "bitstrings": ["11011000", "11001000"], "total_optimization_steps": 80, "probabilities": [0.28174963113822254, 0.4245343800743181], "optimization_time": 119.49900078773499} | -1.0 * (Z(0) @ Z(1)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + 1.75 * (Z(7) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(5)) + -1.25 * (Z(3) @ Z(7)) + -2.5 * (Z(3) @ Z(2)) + -0.75 * (Z(6) @ Z(7)) + -2.75 * Z(1) + -0.25 * Z(0) + 0.0 * Z(5)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-15.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.75, "smallest_bitstrings": ["11001000"], "largest_eigenvalue": 18.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.756390603361468) q[0];
h q[1];
h q[2];
h q[3];
ry(1.960802890701371) q[3];
rz(-pi) q[4];
ry(-0.03363957311324232) q[4];
h q[5];
ry(0.7593746714538002) q[5];
cx q[2], q[5];
ry(-0.7593746714538002) q[5];
cx q[2], q[5];
ry(0.2851378825371864) q[2];
cx q[3], q... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.2796) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIZIIIZI",
"IIZIIIIZ",
"ZIIIIIIZ",
"IIIIIZZI",
"IIZIIZII",
"IIIZIIZI",
"IIIIZIZI",
"IIZIZIII",
"ZIIIZIII",
"IIIIZZII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IZIIIIII"
] | [
-1,
-1.75,
-0.5,
1.75,
-0.5,
-3,
-0.5,
-1,
-1.75,
-1.25,
-2.5,
-0.75,
-2.75,
-0.25,
0,
-0.25,
-1,
-0.5,
4,
0.75
] | 0.973129 | [
1.960802890701371,
1.5187493429076004,
0.5702757650743728,
0.5884320148351232,
-0.35492320054565396,
-0.00790800591482066,
-0.009886103992825745,
-0.11041315474839637,
0.4022843241340985,
0.967658013117771,
1.6733011054968419,
-1.512781206722936,
1.8222976834996618,
-0.9970092432471047,
... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -15.75,
"target_ratio": 0.97,
"target_value": -15.2775
} | 41 |
570afb120ac224dc3123b6884272022a | 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": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [100, 13], "expectation_value": -0.7147441197347382, "params": [[-0.0752, -0.07200000000000001], [0.0767, 0.0678]], "bitstrings": ["0011011", "1110010"], "total_optimization_steps": 10, "probabilities": [0.011351222302044812, 0.011351346379613752], "optimization_time": 3.3058180809020996} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -0.5 * Z(6) + -1.0 * Z(1) + -1.0 * Z(5) + 0.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011011", "0111001", "1111000", "1110010"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.3835861564523282) q[0];
ry(-0.12865901623097226) q[1];
ry(-0.541033750035841) q[2];
ry(0.19592575110006732) q[3];
ry(0.13925502177702181) q[4];
ry(0.17628327655625287) q[5];
ry(2.2481322520163918) q[6];
ry(-0.01313067584445033) q[7];
ry(1.7935360786981223) q[8];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"ZIIIIIZ",
"IIIZIZI",
"ZIIIIZI",
"IZIIZII",
"IZIZIII",
"IZIIIZI",
"IIZIZII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-0.5,
-1,
-1,
0
] | 0.978616 | [
1.3835861564523282,
-0.12865901623097226,
-0.541033750035841,
0.19592575110006732,
0.13925502177702181,
0.17628327655625287,
2.2481322520163918,
-0.01313067584445033,
1.7935360786981223,
-0.029196006502633695,
1.5676660849581137,
3.074527066512088,
0.6408159439767485,
3.037196536579389,
... | {
"n_parameters": 19,
"n_qubits": 10,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 38 |
8658902022057984457 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 4], [0, 6], [2, 4, 7], [1, 4, 5], [0, 1], [4, 5, 7], [5, 6, 7], [3, 4, 5], [3, 5, 7], [1, 3], [0, 3]]} | {"states": [229, 91], "expectation_value": -0.00011523759678649936, "params": [[-0.0054], [0.0008]], "bitstrings": ["00011010", "10100100"], "total_optimization_steps": 10, "probabilities": [0.003906609371179045, 0.003906632553998024], "optimization_time": 2.3260128498077393} | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.000000000000001, "smallest_bitstrings": ["10100100"], "largest_eigenvalue": 8.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.08832897054834724) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[2], q[4];
rz(0.3686587971098073) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(0.3686587971098073) q[4];
cx q[1], q[4];
cx q[1], q[0];
rz(0.5177095468726547) q[0];
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;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[4]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIZIZII",
"IIIZIIZI",
"IIIIIIZZ",
"IZIIIIIZ",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIZIIIZI",
"IIZZIIII",
"IZZIIIII",
"ZIZIIIII",
"IIIIZIZI",
"IIIZZIII",
"IIIIZIIZ",
"ZIIIZIII",
"IIZIZIII",
"IIIIIZII",
"IIIIIIZI",
"IIIZIIII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIII... | [
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.5,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.3... | 0.55699 | [
0.08832897054834724,
0.3686587971098073,
0.5177095468726547,
0.6401952058706927,
-0.5642212394642289,
1.0347022154013064,
-0.7668021029404072
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -3.333333333333333,
"target_ratio": 0.97,
"target_value": -3.233333333333333
} | 186 |
36fc1c5be2c91695283e8185a1ebb45b | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [21, 37], "expectation_value": -0.1148731105997004, "params": [[0.061700000000000005], [-0.0512]], "bitstrings": ["1101010", "1011010"], "total_optimization_steps": 10, "probabilities": [0.008562346439372155, 0.00856234643937216], "optimization_time": 1.426063060760498} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(1) + -1.0 * Z(3) + -0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["0011101", "1100101", "1101010", "0110101", "1011010"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.590672093523573) q[0];
rz(pi/2) q[0];
ry(0.48554281214560124) q[1];
ry(0.24698811501930573) q[2];
ry(0.013091478036814153) q[3];
ry(0.926188328539264) q[4];
ry(0.943892538476665) q[5];
ry(0.15494952665883352) q[6];
ry(0.03949562253087151) q[7];
ry(0.940475882142962... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[0], q[6];
rz(x0) q[6];
cx q[0], q... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIZIIIZ",
"ZIIIIIZ",
"IIIIZZI",
"IIZZIII",
"ZIIZIII",
"IIIZIZI",
"IZZIIII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1,
-1,
-0.5,
-1,
-0.5
] | 0.9741 | [
0.590672093523573,
0.48554281214560124,
0.24698811501930573,
0.013091478036814153,
0.926188328539264,
0.943892538476665,
0.15494952665883352,
0.03949562253087151,
0.9404758821429625,
0.8843617937735004,
-0.6819864428671916,
0.1079809927660766,
0.030404993430774394,
-0.17637413776864358,
... | {
"n_parameters": 72,
"n_qubits": 9,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 35 |
aba6fa396d14e467ae0d99dd38e3c99d | 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": 3}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 3, "source": 1, "target": 6... | {"states": [3, 63], "expectation_value": -7.284690974673754, "params": null, "bitstrings": ["1111100", "1000000"], "total_optimization_steps": 75, "probabilities": [0.0508457179339568, 0.7824085210373644], "optimization_time": 93.97621893882751} | -0.75 * (Z(0) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.25 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(6)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + 0.0 * Z(3) + -0... | 1 | 7 | 3 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6029463113024511) q[0];
h q[1];
h q[2];
ry(0.7929991718921372) q[2];
h q[3];
ry(0.8794283440467482) q[3];
h q[4];
ry(0.7775597893498037) q[4];
cx q[1], q[4];
ry(-0.7775597893498037) q[4];
cx q[1], q[4];
cx q[4], q[2];
ry(-0.7929991718921372) q[2];
cx q[4],... | 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[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIZIIZ",
"IIIZIZI",
"IIZIIZI",
"ZIIZIII",
"ZIIIIIZ",
"ZIIIIZI",
"IIIZZII",
"IIIIZZI",
"IIZIZII",
"ZIIIZII",
"IZIIIZI",
"ZZIIIII",
"IZIIZII",
"IIIZIII",
"IIIIIIZ",
"IIIIIZI",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IZIIIII"
] | [
-0.75,
-0.25,
-1.5,
-0.25,
1,
-0.75,
-0.75,
-0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-1.5,
0,
-0.25,
-0.75,
1,
-0.75,
-0.75,
1.5
] | 0.97193 | [
1.5743455116567144,
1.5551195786996075,
1.5859983437842744,
1.5572663646124898,
0.8452599701378314,
1.7588566880934964,
0.9720374565052816,
-1.2058926226049023,
-0.0008241090567600584,
0.3357831707759824,
-0.22263848914659737,
0.09928482409924796,
-0.45654623459993954,
-0.20093592429500787... | {
"n_parameters": 40,
"n_qubits": 7,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 453 |
-185111073126632797 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2], [0, 1, 3, 5, 7], [0, 1, 4, 6, 7]]} | {"states": [195, 193], "expectation_value": -0.6374125230357968, "params": null, "bitstrings": ["00111100", "00111110"], "total_optimization_steps": 44, "probabilities": [0.05257862811787345, 0.05892261251096571], "optimization_time": 72.79707050323486} | 0.26666666666666666 * (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(3) @ Z(0)) + 0.05 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(3)) + 0.1 * (Z(7) @ Z(1)) + 0.1 * (Z(7) @ Z(0)) + 0.05 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(5)) + 0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.7333333333333335, -0.7333333333333335, -0.7333333333333335, -0.7333333333333335, -0.7333333333333335, -0.7333333333333335, -0.7333333333333335, -0.7333333333333335, -0.7333333333333335, -0.7333333333333335, -0.7333333333333335, -0.7333333333333335, -0.7333333333333335], "number_of_smallest_... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-3.1099443944695992) q[0];
rz(-0.2501995514369444) q[0];
rx(3.0691547717825385) q[1];
rz(-0.0728024650428574) q[1];
cx q[1], q[0];
rz(-0.21229782607222164) q[0];
cx q[1], q[0];
rz(-0.15643287128957814) q[1];
rx(0.04647185549196306) q[2];
rz(-0.0797614607121977) q[2];... | 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(1.2883) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIZIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIZIIIII",
"IIIZIIZI",
"IIIZIIIZ",
"ZIIZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"ZZIIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZII... | [
0.26666666666666666,
0.16666666666666666,
0.16666666666666666,
0.05,
0.05,
0.05,
0.05,
0.05,
0.1,
0.1,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.3666666666666667,
0.3666666666666667,
0.16666666666666666,
0.1,
0.1,
0.19999999999999996,
0.1,
0.1
] | 0.980497 | [
3.1732409127099874,
-0.4624973775091664,
3.0691547717825385,
-0.0728024650428574,
0.04647185549196306,
0.07667141057738076,
0.08911029172803081,
-0.596376258901995,
1.501490854057719,
1.0595772893510418,
0.22202952195925402,
0.7666863169949031,
0.13107247154584897,
3.094783622268559,
0.0... | {
"n_parameters": 21,
"n_qubits": 8,
"optimal_eigenvalue": -0.7333333333333335,
"target_ratio": 0.97,
"target_value": -0.7113333333333335
} | 15 |
37b8b85d4a52784234c507beb4cd6716 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 6}, {"weight": 18, "source": 0, "target": 9}, {"weight":... | {"states": [430, 428], "expectation_value": -87.61757632084432, "params": [0.0892, -0.0651, 0.085, -0.1071, 0.498, -0.008700000000000001, 0.496, 0.0165, 0.5011, -0.010100000000000001, 0.5029, -0.0068000000000000005, 0.005200000000000001, 0.3276, 0.0047, 0.335, 0.4999, 0.0014, 0.4963, 0.007, 0.2348, 0.1373, 0.2352000000... | 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(8) @ Z(4)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(9) @ Z(2)) + 5.5 * (Z(9) @ Z(7)) + 14.5 * Z(2) + 1.0 * Z(0) + 12.5 * ... | 5 | 10 | 3 | {"smallest_eigenvalues": [-99.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "smallest_bitstrings": ["1001010011"], "largest_eigenvalue": 150.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.20961106547838948) q[0];
rz(-0.15545144159057056) q[0];
rx(0.691158292645049) q[1];
rz(0.22835497050117315) q[1];
rx(0.5607357553605752) q[2];
rz(0.08894719562493592) q[2];
rx(-0.18263172080157905) q[3];
rz(0.7243012275064018) q[3];
rx(0.16198141745575365) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"IZIIIIIIZI",
"IZIIIZIIII",
"IZIZIIIIII",
"ZIIIIIIZII",
"ZIZIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIZIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
14.5,
1,
12.5,
13,
-5,
16.5,
4.5,
13.5,
8,
0.5
] | 0.970784 | [
0.20961106547838945,
-0.083766058962597,
0.691158292645049,
0.20126036065588773,
0.5607357553605753,
0.2008895041573352,
-0.18263172080157908,
0.6291691482963441,
0.16198141745575365,
0.33092009528017036,
0.2665447398077122,
0.7678816486283191,
0.6452432036160848,
0.18629676777625706,
0.... | {
"n_parameters": 141,
"n_qubits": 10,
"optimal_eigenvalue": -99.5,
"target_ratio": 0.97,
"target_value": -96.515
} | 69 |
4d70328aecc8c1ea3157fc10838636c1 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [22, 7], "expectation_value": -12.41713742248698, "params": null, "bitstrings": ["1101001", "1111000"], "total_optimization_steps": 64, "probabilities": [0.10636678277270013, 0.6088615559824023], "optimization_time": 86.43994426727295} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (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;
rx(-0.027915315044976848) q[0];
rz(0.9079317232921404) q[0];
rx(-0.075741799279953) q[1];
rz(0.40344095680944037) q[1];
rx(-0.19726492599124124) q[2];
rz(0.3090192037444801) q[2];
rx(-0.054457467281475554) q[3];
rz(0.31152701050214304) q[3];
rx(0.980611838329351) q[4];
... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5577) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"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,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
-3.5,
-3.25,
-3.25,
-3.5,
-3,
-3,
-3
] | 0.978518 | [
-0.02791531504497685,
0.7987750073775817,
-0.075741799279953,
0.1807703503826541,
-0.1972649259912412,
0.22315061411334475,
-0.05445746728147556,
0.17837210837707032,
0.980611838329351,
0.17196108918343747,
0.6762345045023291,
0.17168297010729175,
0.779897852478124,
-0.09894333872144807,
... | {
"n_parameters": 77,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 17 |
884c33f1fbfdb3489190b99b10954c8f | 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": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capac... | {"states": [0, 1], "expectation_value": -25.79115357049432, "params": [-0.0033, 0.0041, 0.0025, 0.0061, 0.0025, 0.0, 0.0026000000000000003, 0.0007, 0.0023, 0.01, 0.0023, 0.0086, 0.0027, 0.0018000000000000002, 0.0023, 0.0014, 0.0024000000000000002, 0.9901000000000001, 1.6121, 0.0048000000000000004, 0.0126, 0.00030000000... | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(2)) + -2.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(2)) + -1.25 * (Z(8) @ Z(1)) + -1.0 * (Z(8) @ Z(6)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ ... | 4 | 10 | 1 | {"smallest_eigenvalues": [-26.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.75, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 23.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.050073210182787306) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.06324935241630691) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.011553066943631517) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.011553066943631517) q[3];
cx q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZIIIZII",
"IZIIIIIIZI",
"IZIZIIIIII",
"IIIIIZIIZI",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIZIZIIII",
"IIIIZIIIZI",
"IIIIZIIZII",
"IIIZZIIIII",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"ZZIIIIIIII"... | [
-0.5,
-1,
-0.75,
-0.75,
-1.5,
-2.25,
-0.75,
-1,
-1.25,
-1,
-1.5,
-0.75,
-1.5,
-0.5,
-0.75,
-1.25,
-1.25,
3.25,
-0.5,
-0.75,
-1.25,
-1.25,
-1.5,
-2.25,
-0.75,
-1.5,
-2,
-0.25,
0.75,
-3.25,
-0.25,
0,
3,
1.5,
0.5,
0
] | 0.975481 | [
0.050073210182787306,
-0.06324935241630691,
-0.011553066943631517,
0.017430541594316385,
0.0209721554660499,
-0.06141576819310688,
-0.17847316766339205,
1.5086296337133094,
1.7141328167999783,
1.4455882355296337,
1.6917884335428837,
1.405522782215535,
1.644569268937441,
1.4225942230242805,... | {
"n_parameters": 16,
"n_qubits": 10,
"optimal_eigenvalue": -26.75,
"target_ratio": 0.97,
"target_value": -25.947499999999998
} | 160 |
4c5a23f8c8a34bc9c0e926b6ce68cf56 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "ta... | {"states": [124, 127], "expectation_value": -12.197513465504143, "params": null, "bitstrings": ["0000011", "0000000"], "total_optimization_steps": 92, "probabilities": [0.09371665436013593, 0.5335119022308213], "optimization_time": 161.77574634552002} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 1.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 1.0 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-17.5, -17.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -16.5, "smallest_bitstrings": ["0000000", "0000011"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.008907998117038513) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.008907998117038513) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0030026574133024085) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.012160051034437798) q[4]... | null | {"node": 5} | {"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[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IIIZIII",
"ZIIIIII",
"IZIIIII"
] | [
-2.5,
-2.5,
-2,
1.5,
-2.5,
-2.5,
-2.5,
1,
1,
-2.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1
] | 0.970908 | [
-0.008907998117038513,
0.0030026574133024085,
0.012160051034437798,
0.017311852319611208,
0.10260007464896775,
-1.5737503648108313,
1.580037135188816,
1.5454240929634577
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 75 |
ae38f088eb7d13f4a1aaeed7b82ca76a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5... | {"states": [64, 1], "expectation_value": -5.921457117112343, "params": [[-0.0655, -0.06720000000000001, -0.0526, -0.0575], [0.0742, 0.0785, 0.0714, 0.0718]], "bitstrings": ["0111111", "1111110"], "total_optimization_steps": 10, "probabilities": [0.04994226455554586, 0.07421365148361911], "optimization_time": 6.86962294... | -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 | 4 | {"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)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"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 |
047a6db213ec2347412434e39dcab446 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "so... | {"states": [250, 249], "expectation_value": -9.068318980557184, "params": null, "bitstrings": ["11100000101", "11100000110"], "total_optimization_steps": 100, "probabilities": [0.12394866297169427, 0.7185965718646129], "optimization_time": 333.862087726593} | -0.5 * (Z(9) @ Z(2)) + -0.5 * (Z(10) @ Z(2)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @ Z(10)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(9)) + -1.0 * (Z(4) @ Z(10)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(10)) + 0.5 * (Z(5) @ Z(3)) +... | 1 | 11 | 3 | {"smallest_eigenvalues": [-9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332], "number_of_sm... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(-0.7895976344915955) q[0];
h q[1];
ry(-0.7810861968429474) q[1];
h q[2];
h q[3];
ry(1.6087583371568581) q[3];
h q[4];
ry(1.6087583371568581) q[4];
cx q[4], q[1];
ry(0.7810861968429474) q[1];
cx q[4], q[1];
cx q[4], q[0];
ry(0.7895976344915955) q[0];
cx q[4],... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nry(1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = me... | [
"IZIIIIIIZII",
"ZIIIIIIIZII",
"ZZIIIIIIIII",
"IIIIIIIZZII",
"IZIIIIIZIII",
"ZIIIIIIZIII",
"IIIIIIZIZII",
"IZIIIIZIIII",
"ZIIIIIZIIII",
"IIIIIIZZIII",
"IIIIIZIIZII",
"IZIIIZIIIII",
"ZIIIIZIIIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIZIIIZII",
"IZIIZIIIIII",
"ZIIIZIIIIII",
"IIIIZIIZI... | [
-0.5,
-0.5,
1,
0.5,
-1,
-1,
0.5,
-1,
-1,
1,
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,
1,
-0.3333333333333333,
1,
-2.5,
-2.5,
2.5,
2.5,
1.5,
1.5,
1.5,
1.5,
-1,
... | 0.97411 | [
1.6087583371568581,
-1.5621723936858949,
-1.579195268983191,
-1.7000663403512135,
1.0380739879293168,
0.7350162679663793,
1.5754527001879863,
-0.7775594481828644,
-1.3800772367519494,
0.28813208000335316,
-0.7211051201233013,
1.3146153603862532,
-0.355182142317478,
-0.2241765857557586,
0... | {
"n_parameters": 54,
"n_qubits": 11,
"optimal_eigenvalue": -9.333333333333332,
"target_ratio": 0.97,
"target_value": -9.053333333333333
} | 5 |
4f1459804fbfe90f6b55ff417ea39134 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [88, 76], "expectation_value": -2.2912570640140966, "params": [[-0.0733, -0.0743, -0.0765], [0.0723, 0.0723, 0.07050000000000001]], "bitstrings": ["0100111", "0110011"], "total_optimization_steps": 10, "probabilities": [0.01716068965015598, 0.017862235791919468], "optimization_time": 8.821654319763184} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -2.5 * Z(1) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["0100111", "0110011"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
rx(0.6249541505534822) q[0];
rz(0.29574196597272184) q[0];
rx(0.18602301801291943) q[1];
rz(0.3286716223420502) q[1];
cx q[1], q[0];
rz(-0.0003671257503804065) q[0];
cx q[1], q[0];
rz(-1.5787466917811948) q[0];
ry(0.539719186262081) q[0];
rz(1.8599659408043827) q[0];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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",
"IZIIIZI",
"IZIIIIZ",
"IIIIZZI",
"IIIZIZI",
"IZIZIII",
"IIZIIZI",
"IZZIIII",
"IIZIZII",
"ZIIIIZI",
"ZZIIIII",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-0.5,
-2,
-1,
-1,
-1.5,
-2
] | 0.970855 | [
0.6249541505534824,
0.2953748402223417,
0.18602301801291943,
0.3286716223420502,
0.3979084555329145,
0.18302345114246685,
0.5016820616606871,
-0.0017851574524236358,
0.526187757812079,
-0.03409699676499954,
0.585288876579458,
0.003588422681991492,
0.39955915671984105,
-0.04626085797511217,... | {
"n_parameters": 181,
"n_qubits": 14,
"optimal_eigenvalue": -4.281250000000003,
"target_ratio": 0.97,
"target_value": -4.152812500000002
} | 43 |
01c509cf41fe904ef36f9c73fa58f4df | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 4, "source": 0, "t... | {"states": [111, 110], "expectation_value": -22.773066762266264, "params": [[-0.0158, -0.0309, 0.0117, 0.0038], [0.0329, 0.0651, 0.0528, 0.0555]], "bitstrings": ["10010000", "10010001"], "total_optimization_steps": 10, "probabilities": [0.01357153525655388, 0.016990542684497557], "optimization_time": 6.7568604946136475... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(3) @ Z(6)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(4) @ Z(6)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 10.0 * Z(1) + 2.0 * Z(0) + 13.0 * Z(2) + 17.5 * Z(5) + 1... | 1 | 8 | 4 | {"smallest_eigenvalues": [-64.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -56.0, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 134.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(1.6067730635277808) q[0];
ry(0.0068978171400194965) q[0];
rz(-2.165295187823308) q[0];
rz(-0.9320305873596415) q[1];
ry(2.9546423754659843) q[1];
rz(1.5962878589443843) q[1];
rz(1.94887746650212) q[2];
ry(0.10017209095800164) q[2];
rz(-2.4547303306903094) q[2];
rz(-2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIZII",
"IZZIIIII",
"IIIIZIZI",
"IIZIZIII",
"IZIIZIII",
"IIZZIIII",
"IZIZIIII",
"IIIZZIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10,
2,
13,
17.5,
10.5,
10,
16.5,
0.5
] | 0.977898 | [
0.0034511417619457353,
0.07195304533925116,
1.2739833284948667,
-0.123054125877101,
0.005011551244307841,
0.3973837165633978,
1.905775237438528,
0.06934632738707407,
-0.07347402081215618,
0.21084071151892464,
0.02816020830904334,
-0.5182778496141923,
1.303011955708514,
0.0862986415836879,
... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 24 |
6ebf37fc1eb45c0339996675a349b6a5 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [125, 109], "expectation_value": -42.46978746074261, "params": [1.0598, 0.0088, 2.9042000000000003, 0.0097, 2.8992, 0.003, 1.4725000000000001, 0.009300000000000001, 2.8956, 0.0027, 2.9021000000000003, 0.0037, 0.8713000000000001, 0.0025, 2.8959, 0.0086, 0.0046, 0.0044, 0.0034000000000000002, 0.0088, 0.0094, 0... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(7) @ Z(6)) + 10.0 * Z(1) + 5.0 * Z(0) + 13.5 * Z(2) + 8.5 * Z(4) + 11.0 * Z(3) + 5.5 * Z(5) + 4.0 * Z(6) + 8.5 * Z(7) | 18 | 8 | 1 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.5, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 124.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(1.234179847235781) q[0];
ry(1.0239291123674952) q[1];
ry(1.080632211033099) q[2];
ry(0.29738196794975946) q[3];
ry(0.7317323331744503) q[4];
ry(0.9334077383245656) q[5];
ry(-0.3457264430650706) q[6];
ry(-0.19595298910975784) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIZII",
"IIIIZIZI",
"IIIIZZII",
"IIIZZIII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
10,
5,
13.5,
8.5,
11,
5.5,
4,
8.5
] | 0.976864 | [
1.234179847235781,
1.0239291123674952,
1.080632211033099,
0.29738196794975946,
0.7317323331744503,
0.9334077383245656,
-0.3457264430650706,
-0.19595298910975784,
0.004670486823088099,
0.012375903331327098,
0.026593296541803764,
-0.018526808149859228,
0.0017519273989482706,
0.08298503707051... | {
"n_parameters": 64,
"n_qubits": 8,
"optimal_eigenvalue": -58.5,
"target_ratio": 0.97,
"target_value": -56.745
} | 81 |
-5016235471855996807 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3, 4, 5], [1, 3, 6], [0, 1, 3, 5], [3, 4, 6], [3, 5, 6], [0, 3, 6], [0, 4, 5], [2, 6], [0, 2], [1, 4, 5, 6], [1, 7]]} | {"states": [61, 124], "expectation_value": -3.116295172568317, "params": null, "bitstrings": ["11000010", "10000011"], "total_optimization_steps": 53, "probabilities": [0.05595013661924729, 0.8006464516882307], "optimization_time": 76.13258385658264} | 0.08333333333333333 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(4)) + 0.25 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.66666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["10000011"], "largest_eigenvalue": 9.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.03219422170229807) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(0.017469102528922444) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(0.03219422170229807) q[4];
cx q[2], q[4];
h q[5];
cx q[3], q[5];
rz(0.010912695138033158) q... | 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(1.5651) 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[... | [
"IIIIZZII",
"IIIZZIII",
"IIIZIZII",
"IIZIZIII",
"IIZIIZII",
"IIZZIIII",
"IIIIZIZI",
"IIIZIIZI",
"IIZIIIZI",
"IZIIZIII",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"IZIIIIZI",
"IIIIZIIZ",
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIIIIZZ",
"IZIIIIIZ",
"ZIIIIIZI",
"IIIIZIII",
"IIIIIZI... | [
0.08333333333333333,
0.25,
0.08333333333333333,
0.3333333333333333,
0.08333333333333333,
0.3333333333333333,
0.25,
0.08333333333333333,
0.16666666666666666,
0.6666666666666666,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.16666666666666666,
0.25,
0.08333333333333333,
0.16666666666666666... | 0.970047 | [
0.03219422170229807,
0.017469102528922444,
0.010912695138033158,
-0.022919481342331988,
0.033430951184941375,
0.03867996087284186,
-1.4510637103020008,
-1.5886718369746933,
1.4944740532255034,
1.6070514482216214,
1.6088374622037984,
1.6295349866104898,
1.4976575627671485,
-1.54528244406294... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -3.333333333333334,
"target_ratio": 0.97,
"target_value": -3.233333333333334
} | 157 |
21fb824db9d4571acc6db752df147323 | 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": 3}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [43605, 21930], "expectation_value": -0.11228696954411124, "params": [[0.17880000000000001], [-0.1701]], "bitstrings": ["0101010110101010", "1010101001010101"], "total_optimization_steps": 20, "probabilities": [2.373353321619625e-05, 2.373353321619626e-05], "optimization_time": 13.456218719482422} | 0.25 * (Z(0) @ Z(1)) + -0.0009259259259259261 * (Z(2) @ Z(0)) + -0.0009259259259259261 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00015432098765432098 * (Z(4) @ Z(0)) + 0.0002314814814814815 * (Z(4) @ Z(2)) + 0.00015432098765432098 * (Z(5) @ Z(1)) + 0.0002314814814814815 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0009... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.0229938271604597], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.022993827160344, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.01404320987648} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.25549267704344236) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.25549267704344236) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(0.25549267704344236) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.30410009839415686) q[1];
rx(0.1258136... | 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,
-0.0009259259259259261,
-0.0009259259259259261,
0.25,
0.00015432098765432098,
0.0002314814814814815,
0.00015432098765432098,
0.0002314814814814815,
0.25,
-0.0009259259259259261,
-0.0006944444444444445,
-0.0011574074074074073,
-0.0009259259259259261,
-0.0006944444444444445,
-0.00115... | 0.956651 | [
0.25549267704344236,
-0.3041000983941558,
0.9848763284385804,
1.2188036063518455,
-1.2756975813505953,
-1.8944588483939733,
0.2657877683668698,
-1.754342394793927,
-1.3441944115109647,
0.1258136736015813,
-0.15876278426209414,
-1.4367388359047493,
0.1028262008911357,
-0.011542361849532222,... | {
"n_parameters": 40,
"n_qubits": 9,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 500 |
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": -13.082386274567314, "params": [[-0.035300000000000005], [0.0765]], "bitstrings": ["100010010", "100010101"], "total_optimization_steps": 10, "probabilities": [0.0038312011130737446, 0.00470943173376946], "optimization_time": 2.2134053707122803} | 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 | 1 | {"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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"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 |
5dad688a93671469362a3d3d00961b05 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 3}]} | {"states": [20, 11], "expectation_value": -0.0769025746562663, "params": [[0.0649], [-0.0711]], "bitstrings": ["01011", "10100"], "total_optimization_steps": 10, "probabilities": [0.03383993792409379, 0.03440483919073628], "optimization_time": 1.3194615840911865} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(2) + 0.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["10100"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(1.054375204004865) q[0];
ry(1.2513372356561656) q[1];
ry(0.2824769594172304) q[2];
ry(1.4848254273950985) q[3];
ry(1.7704547616171795) q[4];
ry(-0.13250446412763625) q[5];
ry(-0.49590506331342876) q[6];
ry(1.052494121858556) q[7];
ry(0.7429880399328006) q[8];
ry(0.4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(x0) q[2];
cx q[1... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"ZIIIZ",
"IIZZI",
"ZIZII",
"IZZII",
"IIIZI",
"IIIIZ",
"ZIIII",
"IIZII",
"IZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-1,
0
] | 0.975061 | [
1.054375204004865,
1.2513372356561656,
0.2824769594172304,
1.4848254273950985,
1.7704547616171795,
-0.13250446412763625,
-0.49590506331342876,
1.052494121858556,
0.7429880399328006,
0.41317392976743855,
2.5434800341621466,
1.571476038864509,
1.6619437044267633,
0.026188563071984666,
1.62... | {
"n_parameters": 45,
"n_qubits": 15,
"optimal_eigenvalue": -8.749999999999972,
"target_ratio": 0.97,
"target_value": -8.487499999999972
} | 53 |
dd4e0e0ec30da59fe4cbaef1907f5a6f | 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": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": ... | {"states": [2048, 2047], "expectation_value": -14.562738029882176, "params": [[[-0.0091, -0.4181], [-0.0031000000000000003, 0.0019], [-0.0034000000000000002, -0.0026000000000000003], [-0.0025, 0.0031000000000000003], [0.0, -0.0017000000000000001], [-0.00030000000000000003, -0.0012000000000000001], [0.0008, -0.0015], [-... | -0.75 * (Z(0) @ Z(5)) + -0.25 * (Z(8) @ Z(5)) + -0.25 * (Z(8) @ Z(0)) + -0.5 * (Z(9) @ Z(0)) + -0.75 * (Z(9) @ Z(8)) + -0.25 * (Z(1) @ Z(8)) + -0.25 * (Z(11) @ Z(5)) + -0.5 * (Z(11) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(9)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(8)) + -0.75 * (Z... | 15 | 12 | 4 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["100000000000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.02617086641846813) q[0];
ry(-0.19014243248664786) q[1];
ry(-0.028636507299377015) q[2];
ry(0.017846955080892984) q[3];
ry(0.032911288706031494) q[4];
ry(-0.1424388473129406) q[5];
ry(-0.041374578174833115) q[6];
ry(-0.06235092297462867) q[7];
ry(-0.10090331694089... | OPENQASM 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": []} | [
"IIIIIIZIIIIZ",
"IIIZIIZIIIII",
"IIIZIIIIIIIZ",
"IIZIIIIIIIIZ",
"IIZZIIIIIIII",
"IIIZIIIIIIZI",
"ZIIIIIZIIIII",
"ZIIIIIIIIIZI",
"IIIIIIZIIZII",
"IIZIIIIIIZII",
"IIIIIIIIIZZI",
"IIIIIIZZIIII",
"IIIZIIIZIIII",
"ZIIIIIIZIIII",
"IIIIIIIZIZII",
"IIIIZIZIIIII",
"IIIZZIIIIIII",
"ZIIIZIIII... | [
-0.75,
-0.25,
-0.25,
-0.5,
-0.75,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-1,
-0.25,
-0.75,
-0.75,
-0.75,
-0.25,
-0.25,
-0.5,
-0.25,
-0.75,
-0.25,
-0.75,
-0.5,
-0.5,
-1.5,
-0.5,
-0.75,
1.75,
-0.5,
-0.5,
-0.25,
0.5,
-0.25,
0.5,
0.5,
-0.25,
-1.75,
1,
... | 0.970639 | [
-0.02617086641846813,
-0.19014243248664786,
-0.028636507299377015,
0.017846955080892984,
0.032911288706031494,
-0.1424388473129406,
-0.041374578174833115,
-0.06235092297462867,
-0.10090331694089004,
0.07445084781416783,
-0.4830500656838782,
-0.10874546320099908,
-0.4743791720249465,
-0.014... | {
"n_parameters": 64,
"n_qubits": 12,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 57 |
800f779aab5ac71650acd9af8d6964c8 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [3, 7], "expectation_value": -13.531983964845583, "params": [[[0.2576, 0.1874], [0.2721, 0.18630000000000002], [0.2684, 0.1888], [0.2272, -0.1865], [0.22310000000000002, 0.1864], [0.5895, 0.0022], [0.5903, 0.0022], [0.5914, 0.0019]], [[0.2594, 0.1874], [0.269, 0.18630000000000002], [0.2675, -0.1888], [0.2318... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 1 | 8 | 3 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.43263153788651865) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.33347793652408547) q[1];
h q[2];
ry(-0.33347793652408547) q[2];
ry(-0.18921776981409477) q[3];
rz(-pi) q[3];
ry(-0.9937012523290137) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[2];
ry(0.33347793652408547) q[2];
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[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
2.75,
3,
3,
2.75,
-7,
-7,
-7,
-7.25,
-7.25,
-6.5,
-6.5,
-6.5
] | 0.974682 | [
-1.2455998084576945,
-0.37817131988348546,
-0.795027545328284,
-0.3978475091647948,
-0.27195749704621475,
-0.6669558730481709,
1.361511014481087,
1.3396044443315112,
-0.686274487160188,
1.0423394202220775,
-0.35908583330767535,
-0.2925604938850007,
-0.6062823621828345,
-0.4677930098758491,... | {
"n_parameters": 57,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 23 |
74a9039e61abdfc370e0e9ccbda58085 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 5}]} | {"states": [46, 45], "expectation_value": -3.999899063456072, "params": null, "bitstrings": ["010001", "010010"], "total_optimization_steps": 27, "probabilities": [1.641445749207698e-05, 0.9999303761353509], "optimization_time": 16.830711126327515} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + 0.0 * Z(3) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["010010"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.477440440231795) q[0];
ry(-0.06728346725284151) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.022464637706429983) q[2];
ry(-0.14026191198045032) q[3];
rz(-pi) q[3];
h q[4];
h q[5];
ry(-0.5587307208019142) q[5];
cx q[4], q[5];
ry(0.5587307208019142) q[5];
cx q[4],... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IZIIIZ",
"IIZIZI",
"ZIIIZI",
"ZZIIII",
"IIIZZI",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIZIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
0,
-0.5,
0
] | 0.985036 | [
-1.51259205572021,
-1.455297284188031,
-1.5790493769346474,
1.477440440231795,
-1.1174614416038284,
0.8138164984265778,
-0.3239264793788754,
0.4355121917407859,
-0.29038767173572155,
-0.09643115070804845,
-0.028423175133358375,
0.06490628447523733,
0.1641152818115272,
-0.1905830969119133,
... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -2.625,
"target_ratio": 0.97,
"target_value": -2.54625
} | 1 |
aff16494716409c93ae0c6b924acb428 | 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": 6, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 7, "source": 1, "target": 2... | {"states": [33, 1], "expectation_value": -3.526161851916065, "params": [[-0.052000000000000005, -0.0557, -0.0521], [0.06380000000000001, 0.0627, 0.058800000000000005]], "bitstrings": ["1011110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.022166694177761122, 0.02828267362732918], "optimization_time"... | -1.5 * (Z(0) @ Z(3)) + -1.25 * (Z(5) @ Z(0)) + 3.0 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -2.0 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -1.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -2.25 * Z(3) + -0.25 * Z(0) + 0.75 * Z(5) + 3.0 * Z(6) + 1.25 * Z(1) + -2.5 * Z(2) + 0... | 1 | 7 | 3 | {"smallest_eigenvalues": [-17.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 17.75} | 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(-0.17213197499966565) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(0.07476442289212104) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(-0.47901700998870134) q[4];
cx q[3], q[4];
rz(0.3504210231928404) q[3];
rx(0.01985686519069... | OPENQASM 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": []} | [
"IIIZIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IZIIIZI",
"IIIZZII",
"IZIIZII",
"IIIIZZI",
"IIZZIII",
"IZZIIII",
"IIZIZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
-1.5,
-1.25,
3,
-0.25,
-0.25,
-0.5,
-2,
-0.5,
-1.25,
-0.75,
-2.25,
-0.25,
0.75,
3,
1.25,
-2.5,
0
] | 0.970352 | [
-0.17213197499966565,
-0.00464843643423988,
0.009698808451135995,
0.07476442289212104,
-0.47901700998870134,
0.02577905338994005,
-0.24727051080343204,
0.3504210231928386,
0.3119955203211965,
-0.8454856564029164,
0.2802866890985153,
-0.36926583491198095,
0.01985686519069632,
0.143665584847... | {
"n_parameters": 46,
"n_qubits": 7,
"optimal_eigenvalue": -17.25,
"target_ratio": 0.97,
"target_value": -16.732499999999998
} | 130 |
fcba12f78dbb04a944afdfe31d032329 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, ... | {"states": [1, 65], "expectation_value": -6.832433133805971, "params": [0.0029000000000000002, 0.4752, 0.7956000000000001, 0.0016, 0.0024000000000000002, 0.5737, 0.0028, -0.5926, 0.0071, 0.0071, 0.0023, 0.5923, 0.0025, -0.5906, 0.8018000000000001, 0.0002, 0.0031000000000000003, 0.0027, 0.7992, 0.00030000000000000003, 0... | -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) ... | 3 | 8 | 2 | {"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) ... | OPENQASM 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",
"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 |
7013287788730827739 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[11, 5], [11, 7], [9, 2, 11], [2, 3], [3, 7], [8, 10], [1, 10, 11], [2, 4, 5], [9, 2, 5], [1, 2], [9, 10, 5], [10, 6], [8, 9], [9, 3], [1, 5], [9, 10, 7], [9, 2, 7], [6, 7], [3, 5], [9, 6], [8, 1], [0, 8], [8, 3], [0, 4], [0, 11, 3], [2, 10]]} | {"states": [3462, 1415], "expectation_value": -5.095175754466768, "params": [[[1.5736, 2.2763], [-0.0699, -0.8679], [2.6196, 0.3824], [-0.0551, 0.34600000000000003], [-1.5686, 1.5685], [-0.0219, 1.5685], [1.5736, 1.5678], [0.0528, 1.5735000000000001], [-0.317, 0.3346], [1.5816000000000001, 1.5558], [1.5734000000000001,... | 0.5 * (Z(11) @ Z(5)) + 0.5 * (Z(7) @ Z(11)) + 0.3333333333333333 * (Z(9) @ Z(5)) + 0.16666666666666666 * (Z(9) @ Z(11)) + 0.3333333333333333 * (Z(9) @ Z(7)) + 0.3333333333333333 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(11)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(3) @ Z(5)) + 0.1... | 15 | 12 | 1 | {"smallest_eigenvalues": [-7.333333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["101001111000"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.570796322335821) q[0];
ry(1.7463385631672652e-08) q[1];
ry(3.1415929342728277) q[2];
ry(0.010767934029044099) q[3];
ry(-1.5707962221692144) q[4];
ry(-1.570796404322854) q[5];
ry(1.570796322335821) q[6];
ry(1.5707963461881047) q[7];
ry(-1.5707963537990628) 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": []} | [
"ZIIIIIZIIIII",
"ZIIIZIIIIIII",
"IIZIIIZIIIII",
"ZIZIIIIIIIII",
"IIZIZIIIIIII",
"IIIIIIZIIZII",
"ZIIIIIIIIZII",
"IIIIZIIIIZII",
"IIZIIIIIIZII",
"IIIIIIZIZIII",
"ZIIIIIIIZIII",
"IIIIZIIIZIII",
"IIZIIIIIZIII",
"IIIIIIIIZZII",
"IIZZIIIIIIII",
"IIIZIIIIZIII",
"IZIIIIZIIIII",
"ZZIIIIIII... | [
0.5,
0.5,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,... | 0.863636 | [
1.570796322335821,
1.7463385631672652e-8,
3.1415929342728277,
0.010767934029044099,
-1.5707962221692144,
-1.570796404322854,
1.5707963461881047,
-1.5707963537990628,
1.57079636602701,
1.5707964051666483,
1.570796332165277,
2.0241646413415872,
-1.1174279089019747,
-1.2126254941975865e-8,
... | {
"n_parameters": 22,
"n_qubits": 12,
"optimal_eigenvalue": -7.333333333333336,
"target_ratio": 0.97,
"target_value": -7.113333333333335
} | 500 |
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