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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
b426b8aff164c6823b185eb6b091738d | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, {"source": 4, "target": 3}, {"source": ... | {"states": [38, 7], "expectation_value": -6.60486795573731, "params": null, "bitstrings": ["011001", "111000"], "total_optimization_steps": 54, "probabilities": [0.10494263610666708, 0.6036000662340474], "optimization_time": 57.34344267845154} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 16 | 6 | 2 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(3.146586182667847) q[0];
rz(-0.4960671937553839) q[0];
ry(-0.1292922814490114) q[1];
rz(-0.6985758714498361) q[1];
cz q[1], q[0];
ry(0.043070532367504924) q[1];
ry(-0.04475695876475132) q[2];
rz(0.6631600359423698) q[2];
ry(0.5756435583956447) q[3];
rz(-0.14283149628... | null | {"k": 3} | {"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(-1.5708) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
2,
2,
1.75,
2,
2,
1.75,
2,
1.75,
-0.5,
-0.75,
-0.75,
-0.5,
-0.5,
-0.5
] | 0.988667 | [
3.146586182667847,
-0.4960671937553839,
-0.1292922814490114,
-0.6985758714498361,
-0.04475695876475132,
0.6631600359423698,
0.5756435583956447,
-0.14283149628386937,
0.09442180069266345,
2.7246196860446945,
0.021535266183752462,
3.2207334379454498,
-1.152313102082496,
-0.5291711248863585,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 27 |
2c15deea3644dfbcf53b5ef31047e7a3 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [15, 143], "expectation_value": -3.1558498099175942, "params": [0.8097000000000001, 0.0034000000000000002, 0.0071, -0.35050000000000003, 0.1953, -0.3543, 0.40090000000000003, -0.2975, 0.8022, 0.0102, 0.8038000000000001, 0.0035, 0.8049000000000001, -0.0029000000000000002, 0.8083, -0.0014, 0.8104, 0.1584, -0.0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(2) + 0.0 * Z(0) + -2.0 * Z(1) + -0.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(6) + 0.0 * Z(7) + 0.0 * Z(3) | 4 | 8 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["01110000", "01100100"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(2.5727499441344888) q[0];
ry(2.947291060299567) q[0];
rz(-0.7648270444184448) q[0];
rz(2.7382223591249426) q[1];
ry(0.13303070469100278) q[1];
rz(2.897044107193116) q[1];
rz(1.1225197265501148) q[2];
ry(0.097424455602028) q[2];
rz(0.34242984361832685) q[2];
rz(2.4706... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIZZI",
"IIIZIZII",
"IIIZIIZI",
"IIZIIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IIZIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-2,
-0.5,
-0.5,
0,
0,
0
] | 0.979829 | [
0.45498930572452795,
0.07508129430306976,
0.18158564949873018,
-0.44008696145753246,
0.13453026946156654,
0.43985559173506,
0.6890798952895211,
0.1260395469135168,
0.47250870355523045,
-0.06290433325422645,
-0.037962050729164594,
0.5106130690788068,
0.5782703386064119,
0.000024255067364226... | {
"n_parameters": 52,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 18 |
7785e3e7ad6fcc746d4b86c67fd57c41 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 3... | {"states": [32, 37], "expectation_value": -6.7499846294977495, "params": null, "bitstrings": ["1011111", "1011010"], "total_optimization_steps": 22, "probabilities": [0.13524994988448263, 0.7500017798526092], "optimization_time": 17.160821437835693} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + 1.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + 1.5 * Z(4) + 2.25 * Z(1) + -2.5 * Z(3) + -1.25 * Z(5)... | 1 | 7 | 2 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["1011010", "1010010"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.4770183040301989) q[0];
h q[1];
ry(1.5600588358649419) q[1];
rz(-pi) q[2];
ry(-0.049828445060759584) q[2];
cx q[1], q[2];
ry(0.39130269635166626) q[2];
cx q[1], q[2];
ry(-0.009441086677882307) q[1];
ry(0.17246191439933098) q[2];
h q[3];
ry(-1.1835966050189... | 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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIZIIIZ",
"IIIIZZI",
"IIZIIZI",
"IIZZIII",
"IIIZIZI",
"IZIIZII",
"IZIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.25,
-0.75,
-0.25,
-0.25,
-1.25,
-1.25,
-0.75,
-0.5,
1.25,
-1.25,
0.25,
-0.25,
1.5,
2.25,
-2.5,
-1.25,
0
] | 0.971442 | [
-1.1835966050189877,
-1.9623389505959945,
-0.3056669926877728,
0.6498635111692677,
1.5600588358649419,
-0.9540366080603978,
-1.22932207550399,
-0.7826053927033325,
-0.5557969344496055,
-0.018882173355764614,
0.4002954472560074,
1.22108309746494,
0.34492382879866196,
1.3682006687738621,
0... | {
"n_parameters": 15,
"n_qubits": 7,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 72 |
88d08310cecbc7a3e83627c144340291 | 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": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [33, 86], "expectation_value": -0.15401582985573584, "params": [[-0.0441], [0.054700000000000006]], "bitstrings": ["1011110", "0101001"], "total_optimization_steps": 10, "probabilities": [0.008387394814487869, 0.008537579940411206], "optimization_time": 1.5195975303649902} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -2.0 * Z(6) + -0.5 * Z(2) + -1.0 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["0101001"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-2.9786226600788224) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.5862529058258308) q[1];
ry(-3.0772749082534916) q[2];
rz(-pi) q[2];
ry(-0.09588909131010206) q[3];
rz(-pi) q[3];
h q[4];
ry(1.363189241285378) q[4];
cx q[4], q[3];
ry(0.016943517083634098) q[3];
cx q[4], q[3];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x0)... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"ZIIIIIZ",
"ZIIZIII",
"IIIIZZI",
"ZIIIZII",
"IIZIIZI",
"IIZZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IIIIZII",
"IIZIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-2,
-0.5,
-1,
0
] | 0.997697 | [
-1.5862529058258308,
-1.4579637184011605,
1.5122669325225266,
1.363189241285378,
-0.033887034167268196,
0.08927418399709541,
0.2053114497415538,
-0.011576702127863644,
-0.023112710619505164,
-0.019905775115862053,
-0.055608789341867165
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 1 |
570854331bf757be794b813c390e4e40 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, ... | {"states": [44, 113], "expectation_value": -1.383065592721667, "params": [[0.0792, 0.0717, 0.0818], [-0.08310000000000001, -0.0611, -0.0738]], "bitstrings": ["1010011", "0001110"], "total_optimization_steps": 10, "probabilities": [0.01655787758797397, 0.017593770976327014], "optimization_time": 7.369237899780273} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * Z(4) + -0.5 * Z(0) + -2.0 * Z(5) + 0.0 * Z(1) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0001110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.5156376950234425) q[0];
rz(0.1986763463716926) q[0];
ry(1.6123484720869226) q[1];
rz(-0.15083038097189586) q[1];
cx q[1], q[0];
ry(-0.10924469545426371) q[0];
rz(0.28030714252007716) q[0];
ry(-0.536280490040061) q[1];
rz(-0.10196973599542483) q[1];
ry(-0.014114088... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IZZIIII",
"IZIIIIZ",
"IZIIIZI",
"IIZIZII",
"IZIZIII",
"IIIZZII",
"ZIZIIII",
"ZZIIIII",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-2,
0,
-0.5,
-1,
-1
] | 0.972182 | [
1.5156376950234425,
0.1986763463716926,
1.6123484720869226,
-0.15083038097189586,
-0.014114088504483029,
0.1289500314465707,
0.04396475312805043,
0.35853910138358724,
0.05143029229932082,
1.2162655931971267,
-0.00034759176628042926,
-0.4521588481618358,
0.29991237854465774,
0.1471145211260... | {
"n_parameters": 140,
"n_qubits": 10,
"optimal_eigenvalue": -3.6875,
"target_ratio": 0.97,
"target_value": -3.576875
} | 262 |
ec86dd03f1bc9f7a5980c14449900d15 | 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": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, ... | {"states": [0, 1], "expectation_value": -5.333054700113963, "params": [0.0013000000000000002, 0.26430000000000003, 0.0026000000000000003, 0.313, 0.0025, 0.3043, 0.0033, 0.30210000000000004, 0.3186, 0.010400000000000001, 0.0025, 0.28350000000000003, 0.0026000000000000003, 0.30770000000000003, 0.4066, 0.0085, 0.006, 0.28... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(2)) + -0.75 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(4) @ ... | 3 | 8 | 4 | {"smallest_eigenvalues": [-6.75, -6.75, -6.75, -6.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.75, "smallest_bitstrings": ["11111110", "11111100", "11110110", "11110100"], "largest_eigenvalue": 8.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.16999686101045597) q[0];
ry(-0.7461488452616151) q[1];
rz(-pi) q[1];
ry(-0.08098995602078439) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.8918758604400108) q[3];
h q[4];
h q[5];
ry(-0.6909274773558883) q[5];
h q[6];
ry(1.6029270172358627) q[6];
h q[7];
cx q[7], 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": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIIZ",
"IIIIIZZI",
"IIIIZZII",
"IIZIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZZIIIIII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IIIIIZII",
"ZIIIIIII",
"IZIIIIII",
"IIIZIIII"
] | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
1.75,
-0.25,
-0.25,
-0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
0.25,
0.75,
0.75,
0.25
] | 0.970267 | [
-0.33999372202091194,
1.3129654467744951,
1.6029270172358627,
-0.6590546223712845,
0.18968510787131154,
-0.5503415377524958,
-1.7837517208800215,
-1.3818549547117767,
-1.0868611186790245,
-0.44875350089838817,
-0.10942090189840499,
0.17912767502386534,
-0.8058905041901756,
-0.0868358831952... | {
"n_parameters": 19,
"n_qubits": 8,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 24 |
dff6b7c8d2fb1f633c6f93517d212741 | 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": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"sour... | {"states": [41, 297], "expectation_value": -4.149562067271265, "params": [1.6313, 0.0011, 1.4919, 0.0022, 1.4536, 0.001, 1.6891, 0.0028, -0.0037, 0.0035, 1.7107, 0.0002, -0.0025, 0.0023, 0.055900000000000005, 0.008, 1.7140000000000002, 0.0032, 0.0083, 0.001, 0.0063, 0.007500000000000001, 0.0016, 0.0043, 0.0089, 0.001],... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + -0.5 * Z(1) + -0.5 * Z(0) + -2.0 *... | 3 | 9 | 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": ["011010110", "100110110", "011010101", "010110110", "101010101", "101010110"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.0248851847248763) q[0];
rz(1.9005718995252074) q[0];
rx(1.2414437211276284) q[1];
rz(1.5815018742078113) q[1];
rx(0.49352865777110705) q[2];
rz(1.7574091901703524) q[2];
rx(1.2633147388206505) q[3];
rz(1.470977649432669) q[3];
rx(0.4362500027912573) q[4];
rz(1.7918... | 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",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"IIIIZIZII",
"IZZIIIIII",
"IZIIIIZII",
"IZIIZIIII",
"IIIIIZZII",
"IIZZIIIII",
"IIIZZIIII",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIIZII",
"IIIIZIIII",
"IZIIIIIII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-2,
-1.5,
-1.5,
-1.5,
0,
-0.5,
-0.5
] | 0.976547 | [
1.0248851847248763,
0.3297755727303104,
1.2414437211276284,
0.010705547412914435,
0.493528657771107,
0.18661286337545596,
1.2633147388206505,
-0.09981867736222755,
0.43625000279125725,
0.2210784828520884,
1.49349526665746,
0.06394235203131918,
0.1613291339000753,
0.18810664053569454,
0.5... | {
"n_parameters": 51,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 19 |
-8691921237965836926 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 4], [8, 2, 4], [2, 4, 5, 6], [8, 2, 3, 6], [1, 2], [1, 4], [3, 4, 5], [0, 6], [0, 5], [0, 8, 2, 3], [1, 6, 7], [8, 1, 3, 7]]} | {"states": [127, 126], "expectation_value": -2.9517659742172997, "params": [0.3956, 0.5137, 0.3914, 0.0045000000000000005, 0.48950000000000005, -0.441, 0.4842, 0.0078000000000000005, 1.2950000000000002, 0.0786, 1.2983, 0.006900000000000001, 1.2945, -0.1841, 1.2746, 0.0029000000000000002, 1.2932000000000001, -0.0945, 1.... | 0.5 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(8) @ Z(4)) + 0.08333333333333333 * (Z(8) @ Z(0)) + 0.25 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.3333333333333333 * (Z(2) @ Z(8)) + 0.25 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.5... | 5 | 9 | 1 | {"smallest_eigenvalues": [-3.7500000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.7499999999999996, "smallest_bitstrings": ["110000001"], "largest_eigenvalue": 9.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.050565382009541145) q[0];
rz(0.23812508651397835) q[0];
rx(-0.012132823899074684) q[1];
rz(-0.7781720851516898) q[1];
rx(1.7807491908954267) q[2];
rz(-0.051929453898955646) q[2];
rx(1.523135750332596) q[3];
rz(0.01648006729863205) q[3];
rx(1.383563271220535) 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": []} | [
"IIIIZIIIZ",
"ZIIIZIIII",
"ZIIIIIIIZ",
"IIIIZIZII",
"IIIIIIZIZ",
"ZIIIIIZII",
"IIIZZIIII",
"IIIZIIIIZ",
"IIIZIIZII",
"IIZIZIIII",
"IIZIIIIIZ",
"ZIZIIIIII",
"IIZIIIZII",
"IIZZIIIII",
"IIIIZZIII",
"IIIIIZIIZ",
"ZIIIIZIII",
"IIIIIZZII",
"IIIZIZIII",
"IIZIIZIII",
"IIIIZIIZI",
"... | [
0.5,
0.16666666666666666,
0.08333333333333333,
0.25,
0.08333333333333333,
0.3333333333333333,
0.25,
0.5,
0.08333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.25,
0.16666666666666666... | 0.97012 | [
-0.05056538200954114,
-0.12339859885464124,
-0.012132823899074682,
-0.5909359106954413,
1.7807491908954267,
-0.03526227677125618,
1.523135750332596,
0.04951358084848863,
1.3835632712205348,
0.10470707321791307,
1.9964426798261026,
-0.015314414222736189,
1.382546595913335,
0.034748341908899... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -3.7500000000000004,
"target_ratio": 0.97,
"target_value": -3.6375
} | 50 |
5129940d52965c3bcc0f8dd9c73f53f5 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [0, 7], "expectation_value": -5.058572726016471, "params": [[[0.0034000000000000002, 0.001, 0.0038, 0.003], [0.0026000000000000003, -0.0011, 0.0029000000000000002, 0.0081], [0.0026000000000000003, 0.6507000000000001, 0.0026000000000000003, 0.0034000000000000002], [1.6099, 0.0037, 0.009600000000000001, 0.0014... | -1.5 * (Z(1) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(1)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + -0.5 * Z(0) | 11 | 4 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["1000"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rx(-0.2762160908520579) q[0];
rz(2.1717347277170145) q[0];
rx(-0.25251778179951073) q[1];
rz(1.127576670184414) q[1];
rx(-0.7776815244476688) q[2];
rz(2.2659608371426394) q[2];
rx(-0.562711315578499) q[3];
rz(0.5375407579258363) q[3];
cx q[3], q[2];
ry(-0.23906606716144... | 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[4] c;
qubit[4] q;
ry(x0) q[0];
rz(x1) q[0];
ry(x2) q[1];
rz(x3) q[1];
ry(x2) q[2];
rz(x4) q[2];
ry... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IZZI",
"ZZII",
"ZIZI",
"IZII",
"IIZI",
"ZIII",
"IIIZ"
] | [
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
-0.5
] | 0.97312 | [
-0.2762160908520579,
0.6009384009221174,
-0.25251778179951073,
-0.44321965661048196,
-0.7776815244476689,
0.6951645103477428,
-0.562711315578499,
0.5375407579258363,
0.4781321343228988,
-0.3940284111299176,
-0.29084675499965945,
0.16414195530088685,
0.14075541250665047,
0.44040552857846893... | {
"n_parameters": 79,
"n_qubits": 4,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 116 |
99b3fc36a21bdc696a0e30c99214008a | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [121, 59], "expectation_value": -102.03167533879288, "params": [[[1.5845, 0.1301], [0.0714, 0.1332], [-0.0051, 0.0815], [1.5941, 1.6009], [1.5371000000000001, -0.186], [1.5811000000000002, -0.0056], [1.5852000000000002, -0.004], [-0.011000000000000001, 0.1338], [0.0601, 0.5341], [-0.22870000000000001, 0.2251... | 7.0 * (Z(1) @ Z(4)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(2) @ Z(5)) + 7.0 * (Z(6) @ Z(3)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(8) @ Z(3)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(9) @ Z(7)) + 7.0 * (Z(9) @ Z(8)) + 7.5 * Z(4) + -5.5 * Z(1) + 8.0 * Z(3) + 15.5 * Z(5) + -5.0 * Z(2) + 23.5 * Z(6... | 15 | 10 | 2 | {"smallest_eigenvalues": [-109.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -100.5, "smallest_bitstrings": ["1111000100"], "largest_eigenvalue": 162.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.0373501242742587) q[0];
rz(-0.5376752608869615) q[0];
rx(-0.09054432825804432) q[1];
rz(-0.45413466086683896) q[1];
rx(-0.36101710712392887) q[2];
rz(0.13523946377518833) q[2];
rx(-0.012962535285592991) q[3];
rz(-0.2250600742286954) q[3];
rx(3.165045941157798) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIIZIIZII",
"IIIZIIZIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IZIIIIZIII",
"IZIZIIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIZIIII",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIIIZII",
"IIIZIIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7.5,
-5.5,
8,
15.5,
-5,
23.5,
8,
12.5,
7.5,
-13.5
] | 0.981388 | [
0.0373501242742587,
-0.44315070907165216,
-0.09054432825804432,
-0.45413466086683896,
-0.36101710712392887,
0.13523946377518833,
-0.012962535285592991,
-0.2250600742286954,
3.165045941157798,
-0.29969691202932713,
3.169539551605688,
0.14064446275005948,
3.2331435268252466,
0.32563441591604... | {
"n_parameters": 29,
"n_qubits": 10,
"optimal_eigenvalue": -109.5,
"target_ratio": 0.97,
"target_value": -106.215
} | 16 |
23ed60bc96758366e843c21e3bc9a3e0 | 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": 0, "target": 7}, {"source": 1, "ta... | {"states": [5, 7], "expectation_value": -11.531982200016436, "params": [[[0.8019000000000001, 0.004], [0.9065000000000001, 0.0058000000000000005], [0.9066000000000001, 0.006900000000000001], [0.9025000000000001, 0.005], [0.9084000000000001, 0.0064], [1.5961, 0.0061], [1.5908, 0.003], [1.5992000000000002, 0.002900000000... | 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)) + 3.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(2.2678692430954843) q[0];
ry(0.133982112329514) q[0];
rz(-1.6423171496700617) q[0];
rz(2.865239814634158) q[1];
ry(0.10791559648463672) q[1];
rz(-2.28638342328192) q[1];
rz(1.9493878355086798) q[2];
ry(0.421390967996594) q[2];
rz(-1.6340873891194703) q[2];
rz(1.60446... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"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,
3,
3,
3,
3,
3,
3,
2.75,
3,
2.75,
3,
3,
3,
3,
2.75,
-7,
-7.25,
-7,
-7,
-7,
-6.25,
-6.5,
-6.5
] | 0.970676 | [
-0.1009869528208311,
0.2011463194306295,
-0.18388450202335396,
0.11641300867557425,
-0.1790840385320124,
0.2759826702065239,
0.2521979674672631,
-0.4285969017555645,
-0.1906059886326268,
0.9293906646938866,
0.9046304454595955,
0.13113208583620667,
1.1395547029818167,
-0.04090143663475966,
... | {
"n_parameters": 41,
"n_qubits": 8,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 14 |
99b3fc36a21bdc696a0e30c99214008a | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [63, 59], "expectation_value": -76.83736832595935, "params": [-0.0025, 0.0086, -0.003, 0.008, 0.003, 0.0057, 1.4724000000000002, 0.0046, 2.5092000000000003, 0.0074, 2.5087, 0.009300000000000001, 2.4925, 0.0048000000000000004, 1.4728, 0.0017000000000000001, 2.4877000000000002, 0.0043, 2.4974000000000003, 0.00... | 7.0 * (Z(1) @ Z(4)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(2) @ Z(5)) + 7.0 * (Z(6) @ Z(3)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(8) @ Z(3)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(9) @ Z(7)) + 7.0 * (Z(9) @ Z(8)) + 7.5 * Z(4) + -5.5 * Z(1) + 8.0 * Z(3) + 15.5 * Z(5) + -5.0 * Z(2) + 23.5 * Z(6... | 18 | 10 | 1 | {"smallest_eigenvalues": [-109.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -100.5, "smallest_bitstrings": ["1111000100"], "largest_eigenvalue": 162.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.0373501242742587) q[0];
rz(-0.5376752608869615) q[0];
rx(-0.09054432825804432) q[1];
rz(-0.45413466086683896) q[1];
rx(-0.36101710712392887) q[2];
rz(0.13523946377518833) q[2];
rx(-0.012962535285592991) q[3];
rz(-0.2250600742286954) q[3];
rx(3.165045941157798) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIIZIIZII",
"IIIZIIZIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IZIIIIZIII",
"IZIZIIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIZIIII",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIIIZII",
"IIIZIIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7.5,
-5.5,
8,
15.5,
-5,
23.5,
8,
12.5,
7.5,
-13.5
] | 0.981388 | [
0.0373501242742587,
-0.44315070907165216,
-0.09054432825804432,
-0.45413466086683896,
-0.36101710712392887,
0.13523946377518833,
-0.012962535285592991,
-0.2250600742286954,
3.165045941157798,
-0.29969691202932713,
3.169539551605688,
0.14064446275005948,
3.2331435268252466,
0.32563441591604... | {
"n_parameters": 29,
"n_qubits": 10,
"optimal_eigenvalue": -109.5,
"target_ratio": 0.97,
"target_value": -106.215
} | 16 |
7bc4dde9a09d0b94c5097b219891d81a | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 2}, {"id": 0}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 0, "target": 3}]} | {"states": [1949, 3485], "expectation_value": -6.93067462346183, "params": null, "bitstrings": ["100001100010", "001001100010"], "total_optimization_steps": 100, "probabilities": [0.060871614420582795, 0.8703448869995719], "optimization_time": 347.3267869949341} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(3)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -6.0, "smallest_bitstrings": ["010010100001", "010100010001", "100100010001", "001100001010", "100100001010", "100010100001", "100001100010", "001001010100", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rz(-0.8856201491506983) q[0];
ry(0.20607187143120437) q[0];
rz(1.691443220073766) q[0];
rz(1.9404906187072166) q[1];
ry(0.12101153113441158) q[1];
rz(-1.8772538795087437) q[1];
rz(-2.137783534785648) q[2];
ry(0.08595900488246716) q[2];
rz(1.6840356586029337) q[2];
rz(0.... | null | {"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];... | [
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIZZIIIIII",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIZIIIIIZIII",
"IIZIIZIIIIII",
"IIZIIIIIIIIZ",
"IZIIIIIZIIII",
"IZIIZIIIIIII",
"IZIIIIIII... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
0.75,
0.75,
0.75,
1.25,
1.25,
1.25
] | 0.987235 | [
0.11953274834359354,
0.2854334628168601,
-0.11213716823678,
0.2175735915324961,
0.058537607426864216,
-0.2041489905535785,
1.195421164250731,
-0.0853700569336958,
0.21361350790414543,
0.08320735516977537,
-0.038044942888873196,
-0.02371278444846299,
-0.1628380576660834,
0.9476996835334291,... | {
"n_parameters": 22,
"n_qubits": 4,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 5 |
1544988c6452fa79840159cabec617a0 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capac... | {"states": [0, 3], "expectation_value": -14.875510354921964, "params": [0.0032, 0.0034000000000000002, -0.0027, 0.0046, 0.0027, 0.008700000000000001, 0.0026000000000000003, 0.0008, 0.0027, 0.0085, 0.0024000000000000002, 0.0001, 0.0025, 0.0073, 0.0025, 0.8477, 1.1781000000000001, 0.0, 1.6067, 0.0041, 0.00240000000000000... | -0.75 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + -1.5 * (Z(6) @ Z(2)) + -0.5 * (Z(9) @ Z(3)) + 2.25 * (Z(9) @ Z(0)) + -1.0 * (Z(7) @ Z... | 4 | 10 | 1 | {"smallest_eigenvalues": [-18.25, -18.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.25, "smallest_bitstrings": ["1111111110", "1111111100"], "largest_eigenvalue": 18.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.21991237157639332) q[0];
rz(1.8883065486132224) q[0];
rx(0.05960623267992694) q[1];
rz(1.8782531400359819) q[1];
rx(0.10333697073906706) q[2];
rz(1.8763157157781238) q[2];
rx(0.09107531421740404) q[3];
rz(1.5652853808599527) q[3];
rx(-0.31270790172871954) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIIZIZIII",
"IIIIZIIIIZ",
"IIIIZIIIZI",
"IIIIIZIZII",
"IIIIZIIZII",
"IIIIIIIZZI",
"IIIZIIIIZI",
"IIIZIIIZII",
"ZIIIIIZIII",
"ZIIIIIIIIZ",
"IIZIIZIIII",
"IIZIZIIIII",
"IIZIIIIIZI",
"IZIIIZIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IIIIIIZIII"... | [
-0.75,
-0.5,
-0.25,
-0.25,
-1,
-0.75,
-1,
-0.25,
-0.5,
-1,
-1.5,
-0.5,
2.25,
-1,
-1,
-0.25,
-1,
-0.5,
-1.5,
-0.5,
-0.25,
-0.25,
-2.75,
0,
-2.75,
1.5,
1.75,
0.25,
3
] | 0.970376 | [
-0.21991237157639332,
0.3175102218183261,
0.05960623267992694,
0.3074568132410857,
0.10333697073906707,
0.3055193889832275,
0.09107531421740403,
-0.005510945934944347,
-0.31270790172871954,
0.13462944472402377,
0.18458068034576589,
0.05874535421467787,
0.5084344925593844,
0.026157723503872... | {
"n_parameters": 133,
"n_qubits": 10,
"optimal_eigenvalue": -18.25,
"target_ratio": 0.97,
"target_value": -17.7025
} | 20 |
709eef7fa043e60a64fcf55872bddab8 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [0, 1016], "expectation_value": -24.65116828134515, "params": [[[0.0026000000000000003, 0.007200000000000001], [0.0027, 0.009000000000000001], [0.0022, 0.007], [0.0027, 0.0076], [0.0021000000000000003, 0.0024000000000000002], [0.0033, 0.008], [1.6141, 0.0046], [0.0018000000000000002, 0.0086], [0.003100000000... | -2.0 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(5)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 ... | 2 | 10 | 1 | {"smallest_eigenvalues": [-28.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["0000000111"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.25249915678802215) q[0];
rz(-0.07355742256776926) q[0];
rx(-0.026039921269627522) q[1];
rz(-0.056638959944488115) q[1];
rx(-0.014503877765513366) q[2];
rz(0.302948540864376) q[2];
rx(-0.026039921269627522) q[3];
rz(0.5156294966102224) q[3];
rx(-0.02928047906362718... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIZIIZII",
"IIIIZIIIIZ",
"IIIIIIIIZZ",
"IIIIZIIIZI",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IIIIZIZIII",
"IIIIIIZIZI",
"IIIIZZIIII",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIZIIIZII",
"IIIZIIIIIZ",
"IIIZZIIIII",
"IIIZIIIIZI",
"IIIZIIZIII",
"IIIZIZIIII",
"IZZIIIIIII",
"ZZIIIIIIII"... | [
-2,
0.5,
-2.5,
0.5,
-2.5,
0.5,
0.5,
-3,
-2.5,
1,
-2,
-2.5,
-2,
0.5,
0.5,
0.5,
-3,
0.5,
-2,
1,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5
] | 0.983851 | [
0.25249915678802215,
-0.07355742256776926,
-0.026039921269627522,
-0.056638959944488115,
-0.014503877765513366,
0.302948540864376,
0.5156294966102224,
-0.02928047906362718,
0.036842181546603354,
0.08895050761369269,
-0.08366236932396295,
2.8993143704980104,
-0.1420333717624787,
-0.15157595... | {
"n_parameters": 19,
"n_qubits": 10,
"optimal_eigenvalue": -28,
"target_ratio": 0.97,
"target_value": -27.16
} | 9 |
b3430a7a5a7846c97441f35820d47c84 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [3003, 2747], "expectation_value": -1.4565033960103526, "params": [1.1952, 1.1946, 0.6985, 0.6979000000000001, 1.155, 1.1509, 0.7314, 0.7287, 1.1272, 1.1191, 0.3884, 0.3932, 1.1935, 1.1945000000000001, 1.201, 1.2042000000000002, 1.2059, 1.2001000000000002, 0.23520000000000002, 0.23770000000000002, 1.1367, 1.... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 13 | 12 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 32, "first_excited_energy": -2.5, "smallest_bitstrings": ["11000100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-1.108879766134531) q[0];
rz(-pi) q[0];
h q[1];
h q[2];
ry(-0.3516677727460137) q[2];
h q[3];
ry(-1.593249089494895) q[3];
h q[4];
ry(-0.3516677727460137) q[4];
cx q[1], q[4];
ry(0.3516677727460137) q[4];
cx q[1], q[4];
ry(1.2846215168941915) q[1];
ry(-0.686288719035... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIIZZZI",
"IIIIIIIIZZZZ",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIIZZZIIII",
"IIIIZIIIIIIZ",
"IIIZIIIIIIIZ",
"IIZIIIIII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.... | 0.975713 | [
-1.593249089494895,
-0.7610973356940154,
-0.7033355454920274,
1.1866022252764412,
-0.43584830422961574,
0.19603858323550014,
0.3391240726814657,
-0.7546312527850684,
-0.5008808296114101,
0.5983615500672997,
1.8625187327051302,
-0.365480050857801,
-0.07502380661129479,
-0.03747054021570255,... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 11 |
7fc1aaca9b2555712646afcde4133c5a | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [334, 326], "expectation_value": -53.17651638707159, "params": [[[1.2083000000000002, 0.0036000000000000003], [0.0025, 0.6881], [1.2073, 0.002], [-0.003, -0.6179], [0.06430000000000001, 0.5703], [0.7051000000000001, -0.2316], [1.2093, -0.0012000000000000001], [1.2049, 0.0034000000000000002], [0.002, 0.882300... | 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(8) @ Z(7)) + -2.0 * Z(0) + -7.5 * Z(1) + -0.5 * Z(2) + -5.5 * Z(3) + -5.0 * Z(4) + -1.0 * Z(5) + 1.5 * Z(6) + -1.... | 1 | 9 | 2 | {"smallest_eigenvalues": [-67.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -56.0, "smallest_bitstrings": ["010111001"], "largest_eigenvalue": 82.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.02309472339120279) q[0];
ry(-2.4630389514646778) q[1];
rz(-pi) q[1];
h q[2];
ry(-0.2704953174133071) q[2];
ry(-2.6452522760113837) q[3];
rz(-pi) q[3];
h q[4];
ry(26.81929168188027) q[4];
cx q[4], q[1];
ry(-0.15327626366460861) q[1];
cx q[4], q[1];
ry(0.646... | 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], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIIIZ",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
-2,
-7.5,
-0.5,
-5.5,
-5,
-1,
1.5,
-1.5,
-10.5
] | 0.970867 | [
26.81929168188027,
0.7389663610051724,
0.30655252732921723,
0.7071843024188195,
1.015911826419828,
0.47961159703678075,
1.189688704359413,
1.2921521591363707,
-0.04618944678240558,
-0.612481042150886,
0.14198537974262937,
0.5039189075988507,
-0.188878336985381,
-0.5409906348266142,
0.087... | {
"n_parameters": 78,
"n_qubits": 9,
"optimal_eigenvalue": -67,
"target_ratio": 0.97,
"target_value": -64.99
} | 227 |
570854331bf757be794b813c390e4e40 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, ... | {"states": [120, 113], "expectation_value": -5.49989906066681, "params": null, "bitstrings": ["0000111", "0001110"], "total_optimization_steps": 33, "probabilities": [1.6414805265533778e-05, 0.9999303742109635], "optimization_time": 33.539820194244385} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * Z(4) + -0.5 * Z(0) + -2.0 * Z(5) + 0.0 * Z(1) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0001110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.5156376950234425) q[0];
rz(0.1986763463716926) q[0];
ry(1.6123484720869226) q[1];
rz(-0.15083038097189586) q[1];
cx q[1], q[0];
ry(-0.10924469545426371) q[0];
rz(0.28030714252007716) q[0];
ry(-0.536280490040061) q[1];
rz(-0.10196973599542483) q[1];
ry(-0.014114088... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIZIIIZ",
"IZZIIII",
"IZIIIIZ",
"IZIIIZI",
"IIZIZII",
"IZIZIII",
"IIIZZII",
"ZIZIIII",
"ZZIIIII",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-2,
0,
-0.5,
-1,
-1
] | 0.972182 | [
1.5156376950234425,
0.1986763463716926,
1.6123484720869226,
-0.15083038097189586,
-0.014114088504483029,
0.1289500314465707,
0.04396475312805043,
0.35853910138358724,
0.05143029229932082,
1.2162655931971267,
-0.00034759176628042926,
-0.4521588481618358,
0.29991237854465774,
0.1471145211260... | {
"n_parameters": 140,
"n_qubits": 10,
"optimal_eigenvalue": -3.6875,
"target_ratio": 0.97,
"target_value": -3.576875
} | 262 |
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": 42.12017250061035} | -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 | 4 | {"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 |
-6707064883952822093 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4, 5, 6], [0, 1, 3, 4], [0, 1, 2, 4]]} | {"states": [127, 123], "expectation_value": -0.4591835116354048, "params": [[[1.6465, 0.0078000000000000005], [2.6224000000000003, 0.0016], [2.5757000000000003, 0.006500000000000001], [2.6279000000000003, 0.0033], [1.5462, 0.0016], [2.605, 0.0058000000000000005], [1.6262, 0.0091]]], "bitstrings": ["0000000", "0000100"]... | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(3)) + 0.16666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-0.75, -0.75, -0.75, -0.75, -0.75, -0.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -0.6666666666666667, "smallest_bitstrings": ["0100010", "0100001", "0011000", "1000010", "1000001", "0000100"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-0.3104342478088667) q[1];
cx q[0], q[1];
ry(0.3104342478088667) q[1];
cx q[0], q[1];
ry(-0.06825774853184297) q[0];
cx q[1], q[0];
ry(0.06825774853184297) q[0];
cx q[1], q[0];
ry(0.4758014297223227) q[0];
ry(-0.131985571582811) q[1];
ry(-2.1928195413... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} | [
"IIZZIII",
"IZZIIII",
"IZIZIII",
"ZIZIIII",
"ZIIZIII",
"ZZIIIII",
"IIZIIIZ",
"IIIZIIZ",
"IIZIIZI",
"IIIZIZI",
"IIIIIZZ",
"IIZIZII",
"IIIIZIZ",
"IIIIZZI",
"IIZIIII",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII"
] | [
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.083333333333333... | 0.972321 | [
1.287351369771707,
0.6562835944882954,
0.3602326194814192,
-0.6208684956177334,
0.2837565044938233,
-0.13651549706368593,
0.6765334200319941,
0.5063196173696777,
-0.5627448597575594,
0.4376113467835364,
-0.5001569480380549,
0.22199923687066586,
-0.263971143165622,
-0.20388279672429488,
-... | {
"n_parameters": 46,
"n_qubits": 7,
"optimal_eigenvalue": -0.75,
"target_ratio": 0.97,
"target_value": -0.7275
} | 14 |
4bc37b26da0f51222429a67e38d55b8f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [0, 255], "expectation_value": -6.803343646375602, "params": [[[0.0024000000000000002, -0.47400000000000003], [0.0023, 0.0027], [0.0021000000000000003, 0.0019], [0.0021000000000000003, 0.0019], [0.0023, 0.0021000000000000003], [0.0021000000000000003, 0.0021000000000000003], [0.002, 0.0024000000000000002], [-... | -0.25 * (Z(0) @ Z(4)) + -0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(7) @ Z(0)) + -0.25 * (Z(8) @ Z(4)) + 0.75 * (Z(8) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -1.0 * (Z(1) @ Z(7)) + -0.5 * (Z(1) @ Z(8)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(8)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(8)) + -0.75 * (Z(5) @ ... | 15 | 9 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-1.7347128891183488e-08) q[0];
cx q[4], q[0];
h q[5];
h q[6];
h q[7];
cx q[4], q[7];
rz(-1.7347128891183488e-08) q[7];
cx q[4], q[7];
cx q[0], q[7];
rz(-1.7347128891183488e-08) q[7];
cx q[0], q[7];
h q[8];
cx 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": 8} | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IZIIZIIII",
"IZIIIIIIZ",
"ZIIIZIIII",
"ZIIIIIIIZ",
"IIIIZIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IZIIIIZII",
"IZIIIZIII",
"ZIIIIZIII",
"IIIIIZZII",
"ZIIZIIIII",
"IIIZIIZII",
"IIIZIZIII",
"IZZIIIIII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZZIIIII",
"IIIIZIIII",
"IIIIIIIIZ",
"... | [
-0.25,
-0.25,
-0.25,
-0.25,
0.75,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.75,
-0.75,
0.25,
0.25,
1,
0.5,
0
] | 0.668474 | [
-1.7347128891183488e-8,
1.2533586225251228e-7,
-2.8523106027489244e-8,
-1.1183967720600031e-7,
-0.6878848908241337,
-1.570796261220588,
-1.570796324452154,
-1.5707962293283368,
-1.5707963097025133,
1.5707963605924862
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 311 |
cea40deaccddfc7c282a06b59a6c5087 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, ... | {"states": [1960, 1964], "expectation_value": -2.1003179228986415, "params": [0.303, -0.00030000000000000003, 0.299, -0.00030000000000000003, 0.2962, -0.0005, 0.30360000000000004, -0.0011, 0.2972, 0.0024000000000000002, 0.29400000000000004, 0.005200000000000001, 0.3033, 0.0011, 0.29760000000000003, -0.0033, 0.0015, 0.2... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 7 | 11 | 4 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.8125, "smallest_bitstrings": ["00001100110", "00001100011", "00011100010", "00101010100", "10001000011", "00011011000", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.049360359825409726) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.049360359825409726) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.049360359825409726) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.049360359825409726) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIZIIZI",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIIIIZZZ",
"IIIIIIIZIZZ",
"IIIIIIZIIZZ",
"IIIIIIIZZIZ",
"IIIIIIZIZIZ",
"IIIIIIZZIIZ",
"IIIIIIIZZZI",
"IIIIIIZIZZI",
"IIIIIIZZI... | [
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,
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0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.1... | 0.976198 | [
-0.049360359825409726,
-1.6547730307802455,
1.532754734655337,
1.373934988578451,
-1.6128588254329537,
1.2887889665194403,
1.6575845151008592
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 41 |
6019be0fa8c3633cf3c67a35b335404e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [3415, 3422], "expectation_value": -2.541912028862864, "params": [[[0.6139, 0.0592], [0.7897000000000001, 0.1052], [0.1463, 0.1148], [0.6641, 0.04], [0.1022, 0.0792], [0.793, 0.1826], [0.22540000000000002, 0.26580000000000004], [0.0523, 0.6864], [0.5226000000000001, 0.756], [0.3866, 0.5422], [0.793, 0.6739],... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 15 | 12 | 4 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eig... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-2.9507636748271096) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-0.07521630843221144) q[1];
h q[2];
ry(-1.6800855286387062) q[2];
h q[3];
ry(1.3941845997090168) q[3];
ry(-0.0810001177131385) q[4];
rz(-pi) q[4];
ry(-0.0810001177131385) q[5];
rz(-pi) q[5];
cx q[3], q[5];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZZZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIIZ",
"IIIIIIZIIIIZ",
"IIIIIIIZZIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIIIZZIIZ",
"IIIIIIZIZIIZ",
"IIIIIIZZIIIZ",
"IIIIIIZZZIII",
"IIIIIIZZZIIZ",
"IIIIIIIIZIZI",
"IIIIIZIIIIZI",
"IIIIZIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
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.... | 0.996927 | [
-1.6800855286387062,
-1.650927730462537,
-1.4718006148823952,
1.3335894590127062,
1.3941845997090168,
-0.035991188398725574,
0.2790777833279445,
0.09275577803901364,
0.12873257583510778,
0.009830190470857945,
-0.07902666395579679,
-0.10094070682275826,
0.047627241742005444
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
3ed5f3574fc5742cdca345825268b283 | 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": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "... | {"states": [496, 511], "expectation_value": -3.3678508804106784, "params": [[-0.0869], [0.0785]], "bitstrings": ["111000001111", "111000000000"], "total_optimization_steps": 10, "probabilities": [0.0007532845327734753, 0.0007926376056882861], "optimization_time": 2.829503059387207} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(7)) + -2.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(4)) + -2.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + 1.0 * (Z(6) @ Z(5)) + -2.0 * (Z(8) @ Z(9)) + -2.... | 1 | 12 | 1 | {"smallest_eigenvalues": [-35.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.5, "smallest_bitstrings": ["111000000000"], "largest_eigenvalue": 21.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.019198483592056878) q[0];
rz(0.29363905822924274) q[0];
rx(-0.0455414050892091) q[1];
rz(0.1379848034580431) q[1];
rx(-2.8518759388590316) q[2];
rz(0.6490615983225203) q[2];
rx(0.1972309981375863) q[3];
rz(-0.0720636596641918) q[3];
rx(-0.11182709299241964) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIZIIIZIII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIIZIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIZZIIIIII",
"IIIIIZIIZIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIZZIIIIIIII",
"IZZIIIIIIIII",
"IZIZIIIIIIII",
"ZIZIIIIIIIII",
"ZIIZIIIII... | [
-2,
-2,
1,
-2.5,
-2.5,
0.5,
-2.5,
0.5,
-2,
-2.5,
0.5,
-2,
1,
-2,
-2,
-2,
-2,
-2,
-2,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.972186 | [
0.019198483592056878,
0.29363905822924274,
-0.0455414050892091,
0.1379848034580431,
-2.8518759388590316,
0.6490615983225203,
0.1972309981375863,
-0.0720636596641918,
-0.11182709299241964,
-0.2796944261413121,
0.11295956344834253,
-0.046215799635921984,
-0.40449170054818917,
0.2844306617471... | {
"n_parameters": 20,
"n_qubits": 12,
"optimal_eigenvalue": -35.5,
"target_ratio": 0.97,
"target_value": -34.435
} | 11 |
033e733b571b61558fbce85be77f645d | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"s... | {"states": [8191, 7167], "expectation_value": -32.19949352542714, "params": [[[-0.0022, 2.7001], [-0.0029000000000000002, -0.0025], [1.6649, -0.0026000000000000003], [-0.0023, 0.0028], [-0.0036000000000000003, -0.003], [-0.0036000000000000003, -0.0031000000000000003], [-0.0033, -0.0031000000000000003], [-0.0033, -0.003... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(7)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(5)) + -2.5 * (Z(8) @ Z(10)) + -2.5 * (Z(11) @ Z(10)) + -2.5 * (Z(11) @ Z(8)) + -2.5 * (Z(12) @ Z(10)) + -2.5 * (Z(12) @ Z(8... | 15 | 13 | 1 | {"smallest_eigenvalues": [-34.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -33.0, "smallest_bitstrings": ["0010000000000"], "largest_eigenvalue": 23.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(-0.051912810907706906) q[0];
ry(0.22626266347600332) q[1];
ry(2.276119399486583) q[2];
ry(-0.030983260538644142) q[3];
ry(0.04136744286501161) q[4];
ry(0.04136744286501161) q[5];
ry(0.067357293368406) q[6];
ry(0.067357293368406) q[7];
ry(-0.09666574631016608) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIZIZI",
"IIIIIIIIIZIIZ",
"IIIIIIIIIZZII",
"IIIIIZIIZIIII",
"IIIIIZIZIIIII",
"IIIIIZZIIIIII",
"IIIIIIZIZIIII",
"IIIIIIZZIIIII",
"IIZIZIIIIIIII",
"IZZIIIIIIIIII",
"IZIIZIIIIIIII",
"ZIZIIIIIIIIII",
"ZIIIZIIIIIIII",
"ZZIIIIIIIIIII",
"IIZZIIIIIIIII",
"IIIZZIIIIII... | [
-1.5,
-2,
0.5,
0.5,
-1.5,
0.5,
-2,
0.5,
-1.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2.5,
1.5,
-2.5,
-2.5,
1,
0.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.972793 | [
-0.051912810907706906,
0.22626266347600332,
2.276119399486583,
-0.030983260538644142,
0.04136744286501161,
0.067357293368406,
-0.09666574631016608,
0.04618173692879176,
0.04621528095090897,
-0.008572223667661628,
2.9993901399747087,
-0.01717129637018666,
-0.054293278957150554,
-0.038114527... | {
"n_parameters": 17,
"n_qubits": 13,
"optimal_eigenvalue": -34,
"target_ratio": 0.97,
"target_value": -32.98
} | 21 |
-1652060222951933145 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[10, 5], [0, 5], [1, 10], [9, 5, 7], [4, 5], [2, 4], [8, 1, 5], [10, 7], [2, 5], [8, 9], [8, 2, 6], [3, 4]]} | {"states": [956, 954], "expectation_value": -2.219376745937296, "params": [0.37070000000000003, -0.3345, 0.3744, 0.006900000000000001, 1.0026000000000002, 0.011600000000000001, 0.9953000000000001, -0.0001, 1.0002, -0.0026000000000000003, 0.9945, 0.001, 1.0023, 0.0031000000000000003, 1.0033, 0.0029000000000000002, 0.573... | 0.5 * (Z(10) @ Z(5)) + 0.5 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(10)) + 0.16666666666666666 * (Z(9) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(10)) + 0.16666666666666666 * (Z(7) @ Z(9)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.166666666... | 8 | 11 | 1 | {"smallest_eigenvalues": [-4.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.166666666666666, "smallest_bitstrings": ["10001000101"], "largest_eigenvalue": 7.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.19697810545500552) q[0];
rz(1.0999598412531348) q[0];
rx(0.7061291662615995) q[1];
rz(-0.37232322589726347) q[1];
cx q[1], q[0];
ry(0.08460481177154107) q[0];
cx q[1], q[0];
ry(-0.31071465137649007) q[0];
rz(-0.36826151209954183) q[0];
rx(1.7485797325723615) q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIZIIIII",
"IIIIIZIIIIZ",
"IIIIIZIIIZI",
"ZIIIIIIIIZI",
"IZIIIZIIIII",
"IIIZIZIIIII",
"ZIIZIIIIIII",
"IZIZIIIIIII",
"IIIIIZZIIII",
"IIIIIZIIZII",
"IIIIIIZIZII",
"IIZIIZIIIII",
"IIZIIIIIIZI",
"IZZIIIIIIII",
"IIZIIIIIZII",
"IIIIZIIIZII",
"IIZIZIIIIII",
"IIIIIIZZIII",
"IIIIIZIII... | [
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.33333333333333304,
0,
0,
0.16666666666... | 0.975831 | [
0.19697810545500552,
-0.4708364855417612,
0.7061291662615995,
-0.37232322589726347,
2.1565788826613685,
0.04534893766754737,
1.540726816375458,
-0.025591247036891918,
-0.017057388063172876,
0.24479250179615042,
1.06771622933544,
0.5599588814349586,
1.9881940008822145,
0.11972320124083342,
... | {
"n_parameters": 52,
"n_qubits": 11,
"optimal_eigenvalue": -4.166666666666667,
"target_ratio": 0.97,
"target_value": -4.041666666666667
} | 55 |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 3}, {"source": ... | {"states": [21, 7], "expectation_value": -6.592440922385128, "params": null, "bitstrings": ["101010", "111000"], "total_optimization_steps": 55, "probabilities": [0.1059757887840329, 0.601976266942785], "optimization_time": 71.19649171829224} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 13 | 6 | 3 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.8473521450627363) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.8473521450627363) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.042967194764701365) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(-0.8473521450627363) q[4];
cx ... | null | {"k": 3} | {"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(-1.5708) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
2,
2,
1.75,
2,
1.75,
2,
2,
1.75,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.505615 | [
-0.8473521450627363,
-0.042967194764701365,
0.0646286253227127,
0.4276632086634684,
0.7850932252334482
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 131 |
-2403535863598413708 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 6, 7, 8, 10], [2, 4, 5, 7, 8, 9, 10], [0, 1, 2, 5, 8, 9, 10, 11], [0, 1, 5, 6, 8, 9], [1, 2, 4, 5, 7, 8, 10], [9, 1, 7], [3, 5], [2, 3, 4, 7, 9, 10], [0, 2, 3, 8, 9, 10, 11], [1, 4, 5, 6, 10, 11], [9, 6, 7], [0, 5, 6, 7, 8, 10, 11], [1, 2, 3, 4, 6, 8]... | {"states": [3946, 1899], "expectation_value": -3.4387003541812717, "params": [[[1.5674000000000001, 2.6709], [0.6747000000000001, -0.4884], [0.0095, 0.0551], [-2.0349, 2.4721], [-0.31520000000000004, 0.7736000000000001], [-1.2308000000000001, 1.9004], [-1.5728, 1.5729], [1.5728, 1.5732000000000002], [1.5692000000000002... | 0.21785714285714286 * (Z(1) @ Z(8)) + 0.3416666666666667 * (Z(9) @ Z(8)) + 0.2583333333333333 * (Z(9) @ Z(1)) + 0.24166666666666664 * (Z(10) @ Z(8)) + 0.15833333333333333 * (Z(10) @ Z(1)) + 0.28809523809523807 * (Z(10) @ Z(9)) + 0.19285714285714284 * (Z(2) @ Z(8)) + 0.21666666666666665 * (Z(2) @ Z(1)) + 0.1726190476190... | 15 | 12 | 1 | {"smallest_eigenvalues": [-4.276190476190475], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.251190476190476, "smallest_bitstrings": ["100010010100"], "largest_eigenvalue": 20.499999999999993} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.5707963293876435) q[0];
ry(-2.1157826360890365e-08) q[1];
ry(-5.6185570373663165e-08) q[2];
ry(-3.141592658836751) q[3];
ry(1.7729291985092074e-06) q[4];
ry(-1.0599588303610072) q[5];
ry(-1.570796505338976) q[6];
ry(1.5707962750663058) q[7];
ry(1.5707964067250995)... | 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": []} | [
"IIIZIIIIIIZI",
"IIZZIIIIIIII",
"IIZIIIIIIIZI",
"IZIZIIIIIIII",
"IZIIIIIIIIZI",
"IZZIIIIIIIII",
"IIIZIIIIIZII",
"IIIIIIIIIZZI",
"IIZIIIIIIZII",
"IZIIIIIIIZII",
"IIIZIIIZIIII",
"IIIIIIIZIIZI",
"IIZIIIIZIIII",
"IZIIIIIZIIII",
"IIIIIIIZIZII",
"IIIZIZIIIIII",
"IIIIIZIIIIZI",
"IIZIIZIII... | [
0.21785714285714286,
0.3416666666666667,
0.2583333333333333,
0.24166666666666664,
0.15833333333333333,
0.28809523809523807,
0.19285714285714284,
0.21666666666666665,
0.17261904761904762,
0.21428571428571427,
0.1523809523809524,
0.11666666666666667,
0.21547619047619043,
0.2571428571428571,
... | 0.913001 | [
1.5707963293876435,
-2.1157826360890365e-8,
-5.6185570373663165e-8,
-3.141592658836751,
0.0000017729291985092074,
-1.0599588303610072,
-1.570796505338976,
1.5707962750663058,
1.5707964067250995,
1.5707963560929783,
1.570796283914968,
3.061447554555807,
-0.08014520503233974,
2.7542750615855... | {
"n_parameters": 21,
"n_qubits": 12,
"optimal_eigenvalue": -4.276190476190475,
"target_ratio": 0.97,
"target_value": -4.147904761904761
} | 446 |
5709738025258929318 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 6, 7], [0, 8], [0, 2, 3, 5], [8, 1, 5, 6], [8, 3, 5], [8, 1, 4, 5], [3, 4, 6, 7], [8, 7], [8, 2, 4, 5], [0, 4, 6], [0, 3, 5, 7], [1, 3, 4], [0, 1, 2, 4], [2, 5, 7]]} | {"states": [414, 410], "expectation_value": -3.4330898901879854, "params": null, "bitstrings": ["001100001", "001100101"], "total_optimization_steps": 53, "probabilities": [0.08989405266823765, 0.8262313198360163], "optimization_time": 144.57769632339478} | 0.25 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.08333333333333333 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.08333333333333333 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.083333333333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.583333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5000000000000018, "smallest_bitstrings": ["001100101"], "largest_eigenvalue": 12.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-2.2290265126867667e-08) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(1.883203683378813e-08) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(-2.2290265126867667e-08) q[6];
cx q[0], q[6];
h q[7];
cx q[2], q[7];
r... | 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(1.5668) 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] = m... | [
"IIIIIIZIZ",
"IIZIIIZII",
"IIZIIIIIZ",
"IZIIIIZII",
"IZIIIIIIZ",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIZZII",
"IIIIIZIIZ",
"IIZIIZIII",
"IZIIIZIII",
"ZIIIIZIII",
"IIIZIIZII",
"IIIZIIIIZ",
"IIZZIIIII",
"IZIZIIIII",
"ZIIZIIIII",
"IIIZIZIII",
"... | [
0.25,
0.08333333333333333,
0.25,
0.25,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.5,
0.08333333333333333,
0.5,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.0... | 0.658915 | [
-2.2290265126867667e-8,
1.883203683378813e-8,
-2.5966939170084173e-8,
7.946671324598587e-8,
6.513952239483219e-9,
1.58168528539202e-7,
1.5707963851649942,
-0.9851106952271366,
1.5707962442394705,
1.5707963094147888,
1.5707964195456798,
-1.5707962926798011
] | {
"n_parameters": 12,
"n_qubits": 9,
"optimal_eigenvalue": -3.583333333333332,
"target_ratio": 0.97,
"target_value": -3.475833333333332
} | 393 |
-8381549115396801712 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 3, 5, 7, 8, 10], [9, 4], [8, 2, 7], [0, 9, 5, 6], [1, 10, 6, 7], [1, 4], [3, 6, 7, 8, 9], [1, 9], [1, 3, 6, 8, 10], [2, 10, 5, 6], [2, 3], [8, 1, 0, 7], [0, 6, 7, 8, 9, 10], [0, 2, 4, 6, 8], [4, 6, 7]]} | {"states": [1886, 1630], "expectation_value": -2.6482152854470815, "params": [0.9854, 0.9893000000000001, 1.5021, 1.4978, 0.7538, 0.7515000000000001, 0.3659, 0.3683, 0.9557, 0.9486, 0.19140000000000001, 0.1855, 1.5765, 1.5852000000000002, 1.5803, 1.5826, 1.5779, 1.5795000000000001, 1.5821, 1.5828, 0.1915, 0.1933, 0.562... | 0.03333333333333333 * (Z(0) @ Z(4)) + 0.03333333333333333 * (Z(6) @ Z(4)) + 0.11666666666666667 * (Z(6) @ Z(0)) + 0.08333333333333334 * (Z(8) @ Z(4)) + 0.15 * (Z(8) @ Z(0)) + 0.03333333333333333 * (Z(8) @ Z(6)) + 0.13333333333333336 * (Z(9) @ Z(4)) + 0.2 * (Z(9) @ Z(0)) + 0.03333333333333333 * (Z(9) @ Z(6)) + 0.3666666... | 13 | 11 | 1 | {"smallest_eigenvalues": [-3.3000000000000007], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.283333333333334, "smallest_bitstrings": ["00110100001"], "largest_eigenvalue": 13.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.9927927980123331) q[0];
rz(0.45278889188031574) q[0];
ry(1.8026581888741238) q[1];
ry(0.057575811013418576) q[2];
ry(0.007653296931003584) q[3];
ry(1.7439376490949308) q[4];
ry(-0.10057745831638328) q[5];
ry(1.2534257205303787) q[6];
ry(1.5592068782971051) q[7];
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": []} | [
"IIIIIIZIIIZ",
"IIIIZIZIIII",
"IIIIZIIIIIZ",
"IIZIIIZIIII",
"IIZIIIIIIIZ",
"IIZIZIIIIII",
"IZIIIIZIIII",
"IZIIIIIIIIZ",
"IZIIZIIIIII",
"IZZIIIIIIII",
"IIIIIIZIZII",
"IIIIIIIIZIZ",
"IIIIZIIIZII",
"IIZIIIIIZII",
"IZIIIIIIZII",
"ZIIIIIZIIII",
"ZIIIIIIIIIZ",
"ZIIIZIIIIII",
"ZIZIIIIII... | [
0.03333333333333333,
0.03333333333333333,
0.11666666666666667,
0.08333333333333334,
0.15,
0.03333333333333333,
0.13333333333333336,
0.2,
0.03333333333333333,
0.36666666666666664,
0.08333333333333334,
0.06666666666666667,
0.11666666666666667,
0.15,
0.11666666666666667,
0.05,
0.1166666... | 0.972992 | [
0.9927927980123331,
1.8026581888741238,
0.057575811013418576,
0.007653296931003584,
1.7439376490949308,
-0.10057745831638328,
1.2534257205303787,
1.5592068782971051,
1.7016393228891855,
1.7063579430362772,
-0.08775795133236963,
0.9055777837606315,
-0.09608339367533535,
0.053097440880459645... | {
"n_parameters": 43,
"n_qubits": 11,
"optimal_eigenvalue": -3.3000000000000007,
"target_ratio": 0.97,
"target_value": -3.2010000000000005
} | 14 |
82b7510e3c4f18f03c81315097910da2 | 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": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capaci... | {"states": [32, 31], "expectation_value": -0.35038097537192, "params": [[0.052000000000000005, 0.0106, -0.06470000000000001], [-0.0539, -0.0471, 0.035500000000000004]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.020619374558683824, 0.021022238174408226], "optimization_time":... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(3)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(5) + -0.25 * Z(2) + 0.25 * Z(3) + 0.25 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-6.581916184979591e-07) q[0];
h q[1];
ry(0.6434977519720617) q[1];
h q[2];
ry(0.6434977519720617) q[2];
h q[3];
h q[4];
ry(0.785398270325911) q[4];
cx q[3], q[4];
ry(-0.785398270325911) q[4];
cx q[3], q[4];
ry(0.6154797530425266) q[3];
cx q[4], q[3];
ry(-0.61... | 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",
"ZIIIZI",
"ZIIIIZ",
"IIIZZI",
"IIZIZI",
"IIZZII",
"IZIIZI",
"IZIZII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IIZIII",
"IZIIII"
] | [
-0.25,
-0.75,
0.5,
-0.25,
-1,
-0.75,
-1,
-1.25,
-1.5,
0.25,
-0.25,
-0.25,
-0.25,
0.25,
0.25
] | 0.965517 | [
1.570796540651822,
1.2309595060850531,
1.2869955039441234,
-1.5707961133230497,
1.8545964968194282,
-0.39631419127463324,
0.6801154830436662,
1.570796550632477,
-0.0000013163832369959182,
3.5289707979888594e-7,
-1.510291118014996,
1.510290485989974,
1.0482933015393622e-7,
0.205718760898137... | {
"n_parameters": 24,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 500 |
1edfe126d3cf465290b6c98710f2e60a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target": 8}, {"capacity": 3, "s... | {"states": [510, 255], "expectation_value": -1.4930560709053584, "params": [[0.0649], [-0.06280000000000001]], "bitstrings": ["000000001", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0031233226472883544, 0.0031894406154057294], "optimization_time": 3.521569013595581} | -0.75 * (Z(0) @ Z(2)) + -1.25 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(0)) + 1.75 * (Z(8) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -1.0 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -1.0 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(5)) + -1.0 * (Z(7) @ Z(8)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(6) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 25.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(-1.570796261191446) q[0];
h q[0];
rx(-4.888640242732284e-07) q[1];
h q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"ZIIIIIIIZ",
"IIIIIIZZI",
"IIIZIIIZI",
"IIIIZIZII",
"IIIZZIIII",
"IIIIZIIZI",
"IZIIIIZII",
"IZIZIIIII",
"ZZIIIIIII",
"IZIIIIIZI",
"IIZIIIZII",
"IIZZIIIII",
"IIZIZIIII",
"IZZIIIIII",
"IIIZIZIII",
"ZIIIIZIII",
"IIIIZZIII",
"IZIIIZIII",
"... | [
-0.75,
-1.25,
-0.75,
1.75,
-1,
-1,
-0.75,
-1.25,
-0.75,
-1,
-0.5,
-1,
-0.5,
-0.5,
-1,
-0.5,
-1.25,
-1.5,
-0.75,
-1,
-1.5,
-1.25,
3.75,
-0.25,
-2.75,
0,
1.25,
-0.75,
-2.25,
-3,
4
] | 0.342105 | [
-1.570796261191446,
-4.888640242732284e-7,
-0.19467504501393948,
1.5707975432582524,
5.50610417709632e-7,
-1.0146954637328656,
-0.6792427026504884,
3.836784543673801e-7,
4.799325978666077e-7,
-0.48979981340183243,
0.19467507253526917,
2.3353208853339714e-7,
0.5108813485821195,
-0.037419653... | {
"n_parameters": 34,
"n_qubits": 9,
"optimal_eigenvalue": -19,
"target_ratio": 0.97,
"target_value": -18.43
} | 500 |
6de3ca972134e3b2df718cabf76739a9 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [445, 695], "expectation_value": -0.05245923323688565, "params": [[-0.0477, 0.0688], [0.0728, -0.0446]], "bitstrings": ["1001000010", "0101001000"], "total_optimization_steps": 10, "probabilities": [0.001119214809636405, 0.001119214809636405], "optimization_time": 18.380945444107056} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(6)) + -0.125 * (Z(... | 1 | 10 | 2 | {"smallest_eigenvalues": [-3.8125, -3.8125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.8125, "smallest_bitstrings": ["1001000010", "0101001000"], "largest_eigenvalue": 5.1875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-2.9895735627532725) q[0];
rz(-pi) q[0];
h q[1];
ry(1.649206030902672) q[1];
cx q[1], q[0];
ry(0.020750894699326963) q[0];
cx q[1], q[0];
ry(0.06475921605593957) q[1];
ry(-0.025621518648993244) q[2];
rz(-pi) q[2];
rz(-pi) q[3];
ry(-0.08561498708161709) q[3];
h q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIIZZIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIZZIIIZ",
"IIIZIZIIIZ",
"IIIZZIIIIZ",
"IIIZZZIIII",
"IIIZZZIIIZ",
"IIIIIZIIZI",
"IIZIIIIIZI",
"IZIIIIIIZI",
"IIZIIZIIII",
"IZIIIZIIII"... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,... | 0.9963 | [
-1.588799124059266,
-1.6939350649793659,
-1.4943029822572422,
1.649206030902672,
1.4395281306577028,
-0.10174365177732247,
-0.04150178939865393,
0.14037315026251265,
0.12951843211187913,
0.07504750220570425,
0.07097634417369998,
-0.03891395490893547,
-0.02859920646304469,
-0.09101380963563... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
d30c0386d8d3b385abfc19e03f7b5ca3 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [14, 13], "expectation_value": -4.496464044051204, "params": null, "bitstrings": ["110001", "110010"], "total_optimization_steps": 25, "probabilities": [0.06634810230018152, 0.9303665171788271], "optimization_time": 17.21029782295227} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["110001", "110010"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.02172569596093698) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.02172569596093698) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.02172569596093698) q[2];
cx q[0], q[2];
rz(1.736499027868886) q[2];
rx(-1.6454317969910583) q[2];
h q[3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"ZIIIZI",
"ZIIIIZ",
"IZIIZI",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-0.5,
-0.5,
-1,
-0.5
] | 0.988948 | [
-0.02172569596093698,
-1.632171019885014,
-1.5273591642926907,
1.736499027868886,
-1.63086528192634,
-1.6454317969910583
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 32 |
3158514289806292365 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 2], [1, 5], [0, 3, 5], [0, 2, 3, 4], [1, 2, 3, 4], [2, 3, 5], [0, 1, 3, 4]]} | {"states": [21, 43], "expectation_value": -0.17978077319399638, "params": [[[1.6996, 0.003], [1.6912, 0.0027], [1.6994, 0.0081], [1.6983000000000001, 0.0039000000000000003], [1.4786000000000001, 0.0034000000000000002], [1.7032, 0.0037]]], "bitstrings": ["101010", "010100"], "total_optimization_steps": 170, "probabiliti... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(5)) + 0.16... | 2 | 6 | 1 | {"smallest_eigenvalues": [-2.083333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.916666666666667, "smallest_bitstrings": ["010100"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.0065763757669613995) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.0065763757669613995) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0065763757669613995) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(0.1753282613639... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"ZIZIII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
0.25,
0.25,
0.25,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.25,
0.41666666666666685,
0.5833333333333335,
0.5833333333333335,
0.3333... | 0.748033 | [
-0.0065763757669613995,
0.17532826136397936,
-0.00575777032224839,
0.5628196759983811,
-1.5422609227926791,
1.6019473640725568,
-1.3761784133973145,
1.5716113771843634,
-1.4589971762994633
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -2.083333333333334,
"target_ratio": 0.97,
"target_value": -2.020833333333334
} | 236 |
61e3b2a5d555a14d43f55fdcbfde92db | 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}], "edges": [{"... | {"states": [438, 310], "expectation_value": -12.668167391569016, "params": [[[0.8074, -0.0035], [0.7837000000000001, 0.0013000000000000002], [0.006200000000000001, -0.38220000000000004], [0.8048000000000001, -0.0019], [0.7959, 0.003], [0.5202, -0.1369], [0.806, -0.0022], [0.8083, 0.0024000000000000002], [0.385200000000... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(7)) + 5.0 * (Z(6) @ Z(8)) + 0.0 * Z(1) +... | 1 | 9 | 2 | {"smallest_eigenvalues": [-55.0, -55.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -54.0, "smallest_bitstrings": ["011010011", "011001001"], "largest_eigenvalue": 73.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.038077298461885775) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.038077298461885775) q[2];
cx q[0], q[2];
rz(-1.3087606803728935) q[0];
rx(-1.5571842027327387) q[0];
h q[3];
cx q[1], q[3];
rz(-0.038077298461885775) q[3];
cx q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IZIZIIIII",
"ZZIIIIIII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZIZIIII",
"IZZIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
0,
-2,
5.5,
-7,
2.5,
-3,
-0.5,
-4,
5.5
] | 0.971975 | [
-0.038077298461885775,
1.495145707453342,
-1.3087606803728935,
-1.1542323795899323,
1.4719494406080444,
1.8681753451559386,
-1.8364830450991425,
1.3900851624893737,
-1.521409406940012,
1.506947653596262,
-1.5571842027327387
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -86,
"target_ratio": 0.97,
"target_value": -83.42
} | 44 |
8593b8834e52e999edf6925bd3316e57 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": ... | {"states": [1023, 1022], "expectation_value": -0.9672648502393206, "params": [[-0.07300000000000001], [0.0728]], "bitstrings": ["0000000000", "0000000001"], "total_optimization_steps": 10, "probabilities": [0.0015148439596659054, 0.001547242017487711], "optimization_time": 1.7441158294677734} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + 0.... | 5 | 10 | 1 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["0000000001"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-1.573703454518612) q[0];
rz(-3.14047613888909) q[0];
rx(3.0308115310761083) q[1];
rz(0.6734192784892188) q[1];
rx(2.010554272140748) q[2];
rz(3.0206871183746102) q[2];
rx(-2.1712612108893157) q[3];
rz(2.9532936306481474) q[3];
rx(2.7161758546999044) q[4];
rz(2.5162... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q... | {"node": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIZZIIIII",
"IZIZIIIIII",
"IZIIZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"IZZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IZIIIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII"... | [
-1,
-1.5,
-1.5,
0.5,
-2,
1,
-2,
-2,
1,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.94714 | [
-1.573703454518612,
1.5719128414955998,
3.0308115310761083,
-0.8973770483056777,
2.010554272140748,
1.4498907915797135,
-2.1712612108893157,
1.3824973038532513,
2.7161758546999044,
0.9454532969790569,
-0.38895335517297736,
0.6494148310713042,
0.3887215655869767,
0.6918082468814762,
0.665... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -14.5,
"target_ratio": 0.97,
"target_value": -14.065
} | 500 |
644d583adb8c3ec4ec20cc2513da1b3c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"s... | {"states": [8191, 8063], "expectation_value": -37.44800121310564, "params": [[[-0.0025, 3.1444], [0.0021000000000000003, -0.002], [-0.0033, -0.0026000000000000003], [-0.0035, -0.0031000000000000003], [-0.0024000000000000002, -0.0029000000000000002], [1.6082, 0.0029000000000000002], [-0.0026000000000000003, -0.002900000... | 1.0 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + -1.5 * (Z(0) @ Z(8)) + -2.5 * (Z(6) @ Z(7)) + -2.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(0)) + -3.5 * (Z(9) @ Z(12)) + 2.0 * (Z(1) @ Z(12)) + -4.0 * (Z(1) @ Z(9)) + 1.0 * (Z(3) @ Z(12)) + -2.5 * (Z(3) @ Z(9)) + 1.0 * (Z(3) @ Z(1)) + -3... | 15 | 13 | 1 | {"smallest_eigenvalues": [-38.0, -38.0, -38.0, -38.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -37.0, "smallest_bitstrings": ["1000011110000", "0000011100000", "0000000100000", "0000010000000"], "largest_eigenvalue": 62.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(-0.044699454110137954) q[0];
ry(0.10573243381747081) q[1];
ry(0.04843363701134677) q[2];
ry(-0.028139502134749216) q[3];
ry(-0.0006564799073457833) q[4];
ry(1.534016683400547) q[5];
ry(-0.0858982788418749) q[6];
ry(0.3989751186208575) q[7];
ry(0.14807310598770126) 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[... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIZIZIIIII",
"IIIIZZIIIIIII",
"IIIIZIIZIIIII",
"IIIIZIIIIIIIZ",
"IIIIIZZIIIIII",
"IIIIIIZZIIIII",
"IIIIZIZIIIIII",
"IIIIIIZIIIIIZ",
"ZIIZIIIIIIIII",
"ZIIIIIIIIIIZI",
"IIIZIIIIIIIZI",
"ZIIIIIIIIZIII",
"IIIZIIIIIZIII",
"IIIIIIIIIZIZI",
"ZIZIIIIIIIIII",
"IIZZIIIIIIIII",
"IIZIIIIIIII... | [
1,
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2,
-4,
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1,
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1.5,
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1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.97318 | [
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0.10573243381747081,
0.04843363701134677,
-0.028139502134749216,
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1.534016683400547,
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0.3989751186208575,
0.14807310598770126,
-0.08212643189889275,
0.027832094217554917,
0.026856310115175048,
3.019813576909505,
0.0423480384... | {
"n_parameters": 22,
"n_qubits": 13,
"optimal_eigenvalue": -38,
"target_ratio": 0.97,
"target_value": -36.86
} | 6 |
0b901fd9e5de39b7cf892c31f0cbb087 | 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": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target":... | {"states": [169, 681], "expectation_value": -6.124467483360704, "params": [[0.7625000000000001, 0.1532, 1.4034, 0.0015, 1.3983, -0.004, 1.4079000000000002, 0.0026000000000000003, 0.0009000000000000001, 0.9556], [1.4004, 0.5928, 1.4022000000000001, 0.004, 1.042, -0.0029000000000000002, 1.4043, -0.0029000000000000002, 0.... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(3)) + -1.5 * Z(7) ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.0, "smallest_bitstrings": ["0101010110", "0011110100", "0001110110", "0011101100"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.15688576748200694) q[0];
ry(0.3254939211658575) q[1];
ry(1.9513012596749086) q[2];
ry(0.0016009298044022957) q[3];
ry(1.8107084229466395) q[4];
ry(-0.010916686894145681) q[5];
ry(1.580137272498992) q[6];
ry(-0.019521570814503092) q[7];
ry(-0.19777480902633293) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIIIZ",
"IIZIIIZIII",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIIIIIZZII",
"IIIIZZIIII",
"IIIIZIIZII",
"IZZIIIIIII",
"IZIIIZIIII",
"IZIIIIIZII",
"IIIZIIZIII",
"IIIZZIIIII",
"ZIZIIIIIII",
"ZIIIIIZIII",
"IIZIIIIIII",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIIZII"... | [
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,
0,
-2,
-0.5,
-1,
-1,
-1,
-1,
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-0.5
] | 0.973874 | [
0.15688576748200694,
0.3254939211658575,
1.9513012596749086,
0.0016009298044022957,
1.8107084229466395,
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1.0591448645740387,
2.6500226072863686,
0.4495954272991823,
1.485801172944758,
-0.02764996620853883... | {
"n_parameters": 18,
"n_qubits": 10,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 24 |
-4605592367896543099 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[4, 5], [0, 6], [2, 4], [1, 3]]} | {"states": [100, 114], "expectation_value": -0.044741552401579184, "params": [[0.0746], [-0.0763]], "bitstrings": ["0011011", "0001101"], "total_optimization_steps": 10, "probabilities": [0.008532363433914735, 0.008532363433914735], "optimization_time": 0.4455726146697998} | 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(1) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.0, "smallest_bitstrings": ["0001101", "1100100", "1110010", "0011011", "0110011", "1001100", "0100101", "1011010"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(3.3911131284549936) q[0];
rz(1.3255856939733657) q[0];
rx(3.262633562373867) q[1];
rz(-0.4996276241312546) q[1];
rx(-0.03174770825480841) q[2];
rz(0.007651761693343417) q[2];
rx(0.046669904474717944) q[3];
rz(2.0102761306040495) q[3];
rx(3.3135975486680103) q[4];
rz(... | 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[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[6], q[0];
rz(x0) q[0];
cx q[6], q[0];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[3], q[1];
... | null | {"circuits": [], "gradients": []} | [
"IZZIIII",
"ZIIIIIZ",
"IIZIZII",
"IIIZIZI",
"IZIIIII",
"IIZIIII",
"ZIIIIII",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.981682 | [
3.3911131284549936,
1.3255856939733657,
3.262633562373867,
-0.4996276241312546,
-0.03174770825480841,
0.007651761693343417,
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2.0102761306040495,
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2.095797877009067,
-0.07247481214982962,
-1.7257886907561995,
-0.05197472629494436,
0.9386840392846941
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 28 |
6db46fc059c6f81124803e34100362dc | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, ... | {"states": [1962, 1978], "expectation_value": -1.7666725044011806, "params": [[0.1872, 1.5906, -0.049, 0.5521, 1.2002000000000002, 0.0015, 1.5812000000000002, 0.1983, 1.5916000000000001, 0.32980000000000004, 1.5886, 0.4168], [1.1800000000000002, 1.5385, 1.6046, 1.601, 1.6062, 0.17420000000000002, 1.5864, 1.5962, 1.5591... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 10 | 12 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 37, "first_excited_energy": -2.5, "sm... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.019655499024159567) q[0];
ry(1.1595601537978772) q[1];
ry(0.1209884063694592) q[2];
ry(0.9930175535327839) q[3];
ry(0.6397931256732187) q[4];
ry(-0.0935398170551616) q[5];
ry(1.4532418073516866) q[6];
ry(-0.1362218393794751) q[7];
ry(0.3213617940651091) 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": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIIZZZI",
"IIIIIIIIZZZZ",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIIZZZIIII",
"IIIIIIIZIIIZ",
"IIIIZIIIIIIZ",
"IIIZIIIII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
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0.125,
0.25,
0.25,
0.25,
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0.125,
0.125,
0.125,
0.125,
0.125,
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0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.... | 0.970301 | [
-0.019655499024159567,
1.1595601537978772,
0.1209884063694592,
0.9930175535327839,
0.6397931256732187,
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1.4532418073516866,
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0.5842795606830228,
-0.05426368705056557,
0.10284527672019492,
-0.019030390019444916,
0.10074151076462524... | {
"n_parameters": 70,
"n_qubits": 12,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 42 |
6343341889656689631 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2], [3, 5, 7], [2, 3, 6], [8, 1], [2, 5, 6], [4, 6, 7], [2, 4, 7], [0, 4], [1, 4, 6], [8, 2, 3], [1, 5, 7], [0, 8], [0, 7]]} | {"states": [222, 95], "expectation_value": -4.152791040771208, "params": null, "bitstrings": ["100100001", "110100000"], "total_optimization_steps": 49, "probabilities": [0.0012746888120497015, 0.9940112462598983], "optimization_time": 98.0728600025177} | 0.5 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.3333333333333333 * (Z(7) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(2)) + 0.16666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.166666666666667, "smallest_bitstrings": ["110100000"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.7241212099441532) q[0];
h q[1];
ry(-0.6307752836383546) q[1];
h q[2];
ry(1.645887496800602) q[2];
h q[3];
ry(-0.6436140467525104) q[3];
ry(-2.9330075371403432) q[4];
rz(-pi) q[4];
ry(-2.5639403824693763) q[5];
rz(-pi) q[5];
h q[6];
ry(1.550758990570145) q[... | 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(1.5298) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIZIIZII",
"IIIZIZIII",
"IZIIIIZII",
"IZIIIIIIZ",
"IZIIIZIII",
"IZIZIIIII",
"IIZIIIZII",
"IIZIIZIII",
"IIZZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"IIIZIIIZI",
"IZIIIIIZI",
"IIZIIIIZI",
"ZIIIIIIZI",
"IIIIZIZII",
"IIIIZIIIZ",
"... | [
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
... | 0.991839 | [
1.550758990570145,
1.5106639295826052,
-1.4482424198883064,
1.645887496800602,
1.3760519719788433,
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1.186424245216804,
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0.7159585019806387,
-0.3210177020377654,
0.5543711073876814,
0.35157393025728567,
-0.09170181217942194,
0... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -4.166666666666668,
"target_ratio": 0.97,
"target_value": -4.041666666666668
} | 1 |
5668cc0f2ff388f621c56d0e233584d7 | 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": 6, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 6, "source": ... | {"states": [0, 256], "expectation_value": -28.934772745625484, "params": [0.0012000000000000001, -0.0056, -0.0027, 0.0064, -0.0014, 0.0019, 0.20320000000000002, 0.20400000000000001, -0.003, 0.0025, 0.0049, 0.003, -0.0001, 0.0013000000000000002, 0.0039000000000000003, -0.0002, -0.0007, 0.0029000000000000002, 0.0047, 0.0... | -1.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(0)) + -1.5 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(5)) + -0.25 * (Z(11) @ Z(4)) + -0.5 * (Z(11) @ Z(0)) + -0.25 * (Z(11) @ Z(5)) + -1.0 * (Z(11) @ Z(9)) + 4.5 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(11)) + -1.5 * (Z(1) @ Z(4)) + -1.25 * (Z(1) @ Z(9)) + -0.25 * (Z(7... | 14 | 12 | 4 | {"smallest_eigenvalues": [-36.0, -36.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -31.0, "smallest_bitstrings": ["111011111111", "111011111101"], "largest_eigenvalue": 32.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.37387460677529877) q[0];
rz(1.5365469176479927) q[0];
rx(-0.012744811830432549) q[1];
rz(1.9287194335197793) q[1];
rx(-0.10944492514517133) q[2];
rz(1.8240680005474061) q[2];
rx(0.7749206249600734) q[3];
rz(1.5252621295720044) q[3];
rx(-0.21367281944568914) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIZ",
"IIIIIIZZIIII",
"IIIIIIZIIIIZ",
"IIZIIIIIIIIZ",
"IIZIIIZIIIII",
"ZIIIIIIZIIII",
"ZIIIIIIIIIIZ",
"ZIIIIIZIIIII",
"ZIZIIIIIIIII",
"IIIIIIIIZIIZ",
"ZIIIIIIIZIII",
"IIIIIIIZIIZI",
"IIZIIIIIIIZI",
"IIIIZIIZIIII",
"IIIIZIZIIIII",
"IIZIZIIIIIII",
"ZIIIZIIIIIII",
"IIIIZIIII... | [
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-2.5,
1
] | 0.972014 | [
-0.37387460677529877,
-0.03424940914690347,
-0.01274481183043255,
0.35792310672488264,
-0.10944492514517135,
0.25327167375251053,
0.7749206249600733,
-0.04553419722289189,
-0.21367281944568914,
0.24707651639495812,
0.03154758964530974,
0.5566532279650157,
0.027427723856014424,
0.4193738348... | {
"n_parameters": 103,
"n_qubits": 12,
"optimal_eigenvalue": -36,
"target_ratio": 0.97,
"target_value": -34.92
} | 20 |
8ba3b716627498c896f8e55ab6717a32 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 3, "s... | {"states": [502, 153], "expectation_value": -6.836407424588132, "params": [[0.0623, -0.15510000000000002], [-0.11280000000000001, 0.15280000000000002]], "bitstrings": ["000001001", "101100110"], "total_optimization_steps": 20, "probabilities": [0.009391709049409079, 0.009478269486030012], "optimization_time": 5.3941199... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + -1.25 * (Z(7) @ Z(6)) + -1.0 * (Z(8) @ Z(1)) + 4.0 * (Z(8) @ ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["101100110"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.36629017619192517) q[0];
rz(2.6590895329145035) q[0];
rx(0.6522359773495556) q[1];
rz(2.1167059752285837) q[1];
rx(-0.02887208608601841) q[2];
rz(-3.116796008938347) q[2];
rx(-0.05697306845919328) q[3];
rz(2.648238060545589) q[3];
rx(1.3811853011744597) q[4];
rz(2.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIZIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIZIII",
"IIIIZIIZI",
"IIIIZZIII",
"IIZIZIIII",
"ZIIIZIIII",
"IIIZIZIII",
"ZIIZIIIII",
"... | [
-0.25,
-0.75,
-1,
-1.25,
-0.75,
-0.75,
-1,
-1,
-0.5,
-0.75,
-1,
-1.25,
-1,
4,
-0.25,
-1.25,
-1,
-1.25,
-1,
-0.5,
-0.75,
-0.25,
0.75,
-0.25,
0.25,
-2.5,
-4,
2,
1,
2.75,
0
] | 0.970831 | [
0.3662901761919252,
1.0882932061196073,
0.6522359773495556,
0.5459096484336865,
-0.028872086086018406,
1.5955929714463426,
-0.05697306845919328,
1.0774417337506923,
1.3811853011744597,
0.9085148071025628,
-0.1340264687407385,
0.1319224339149663,
1.245935230529323,
-0.06160287482492041,
1... | {
"n_parameters": 75,
"n_qubits": 9,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 9 |
944d1e10c1efdd3cf89f3eb5fd93918c | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5}]} | {"states": [3, 27], "expectation_value": -0.14650106279280356, "params": [[0.0631], [-0.0506]], "bitstrings": ["11100", "00100"], "total_optimization_steps": 10, "probabilities": [0.03387409723806623, 0.03428281231841307], "optimization_time": 1.117746114730835} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * Z(1) + 1.0 * Z(0) + -1.0 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) | 5 | 5 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["00100", "11100"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(-0.02677676912273383) q[0];
rz(1.7791030721526582) q[0];
rx(0.14185500204046736) q[1];
rz(2.5051147100231335) q[1];
rx(0.20184054179175628) q[2];
rz(2.4106890750013985) q[2];
rx(-0.9808682906550414) q[3];
rz(1.5743759524828) q[3];
rx(-0.35098050451486523) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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(x1) q[2];
cx q[1], q[2];
cx q[4], q[3];
rz(x2) q[3];
cx q[4... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"ZIIII",
"IZIII"
] | [
-1.5,
0.5,
-1,
-1.5,
1,
-1,
0.5,
0.5
] | 0.97098 | [
-0.02677676912273383,
0.20830674535776214,
0.1418550020404674,
0.9343183832282367,
0.20184054179175626,
0.8398927482065018,
-0.9808682906550414,
0.0035796256879041567,
-0.35098050451486523,
0.21567347580531265,
1.2543159242063746,
-0.07935135923841413,
0.2010068271577604,
0.293429892568229... | {
"n_parameters": 75,
"n_qubits": 5,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 10 |
77dce16e2c6e790ed7c91ee5956c7b72 | 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": 3, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 2, "s... | {"states": [1, 3], "expectation_value": -20.111442211029217, "params": null, "bitstrings": ["111111110", "111111100"], "total_optimization_steps": 50, "probabilities": [0.23044595738281465, 0.40495562289082443], "optimization_time": 73.88566660881042} | -0.75 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -1.75 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(2)) + -1.75 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(3)) + -2.75 * (Z(6) @ Z(4)) + 3.75 * (Z(8) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-24.75, -24.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -18.75, "smallest_bitstrings": ["111111110", "111111100"], "largest_eigenvalue": 25.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.7216773204218943) q[0];
h q[1];
ry(-1.4433546408437885) q[1];
h q[2];
ry(-1.4433546408437885) q[2];
rz(-pi) q[3];
ry(-2.2651039182844348e-08) q[3];
h q[4];
h q[5];
ry(-1.4433546408437885) q[5];
ry(-0.22605723561105742) q[6];
rz(-pi) q[6];
h q[7];
h q[8];
c... | 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(-1.57) 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] = me... | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIIIZII",
"IIZIIZIII",
"IIZIZIIII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"IZIIIZIII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"... | [
-0.75,
-1.25,
-1,
-0.5,
-1.75,
-2,
-1,
-1.75,
-0.5,
-0.5,
-1.25,
-0.75,
-2.75,
3.75,
-1.25,
-0.75,
-0.75,
0.25,
-0.25,
0.25,
-3.25,
-1.25,
-0.25,
0.5,
2.5,
1.5
] | 0.945384 | [
-1.5707963843437192,
-1.4433546408437885,
1.570796349008444,
-7.176605572675924e-8,
-1.2258531681411167,
-1.118681821547669,
-0.849118964872174,
-6.561660585618452e-8,
-0.45211453927234085,
-0.34494315533567665,
4.126469205045058e-8,
-0.4521146381750043,
6.619034905279708e-8,
2.29260276315... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 478 |
175dd49c484ef3d5fa3bd6c9677b2e54 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 3}, {"weight": 19, "source": 1, "target": 7}, {"weight": 10, "source": 2, "tar... | {"states": [374, 214], "expectation_value": -0.8488817182848514, "params": [[-0.0129], [0.0088]], "bitstrings": ["010001001", "100101001"], "total_optimization_steps": 10, "probabilities": [0.002026906511080781, 0.002045258702154327], "optimization_time": 2.0786306858062744} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 18.5 * Z(2) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.5, "smallest_bitstrings": ["100101001"], "largest_eigenvalue": 163.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.012702872726867235) q[0];
rz(0.7261500482432468) q[0];
rx(1.708594509649015) q[1];
rz(0.12597962376736144) q[1];
rx(1.7733981518856725) q[2];
rz(-0.02277223671017986) q[2];
rx(0.06529158846150054) q[3];
rz(0.533931610746281) q[3];
rx(1.7309825126937453) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIZZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZZIIIIII",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
18.5,
3.5,
10,
5,
14.5,
16.5,
2.5,
16,
14
] | 0.970119 | [
0.012702872726867237,
0.6846830848096259,
1.708594509649015,
0.12597962376736144,
1.7733981518856725,
-0.02277223671017986,
0.06529158846150054,
0.533931610746281,
1.7309825126937453,
0.43134552008146615,
-0.061856389290952205,
0.7298563498538823,
1.7726504492361108,
0.0006008827544663614,... | {
"n_parameters": 53,
"n_qubits": 9,
"optimal_eigenvalue": -77.5,
"target_ratio": 0.97,
"target_value": -75.175
} | 10 |
2106018384834704977 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2], [8, 2, 5], [8, 1], [1, 4, 5], [2, 7], [0, 8, 2], [5, 7], [8, 0, 3], [5, 6], [1, 4, 7], [3, 4, 5], [8, 4], [2, 3], [3, 6], [8, 6, 7], [0, 1]]} | {"states": [170, 171], "expectation_value": -3.5298428176134555, "params": [[[-0.0023, 0.009600000000000001, 0.0011, 0.0063], [1.0164, 0.0021000000000000003, 1.0669, 0.0013000000000000002], [-0.0021000000000000003, 0.0, 0.002, 0.009600000000000001], [1.0414, 0.0027, 1.0544, 0.0095], [-0.0166, 0.0033, 0.0079, 0.0011], [... | 0.5 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(8)) + 0.3333333333333333 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.16666... | 12 | 9 | 1 | {"smallest_eigenvalues": [-4.499999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.8333333333333353, "smallest_bitstrings": ["101010100"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.5540014643461433) q[0];
h q[1];
ry(-0.13722477716288234) q[1];
h q[2];
cx q[2], q[1];
ry(0.13722477716288234) q[1];
cx q[2], q[1];
ry(0.9656817685488954) q[1];
cx q[1], q[0];
ry(0.5540014643461433) q[0];
cx q[1], q[0];
ry(-0.30760248233481646) q[2];
ry(0.3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"ZIIIIIZII",
"ZIIIIIIZI",
"IIIZIIZII",
"IIIZIIIZI",
"ZIIZIIIII",
"IIIIZIIZI",
"ZIIIZIIII",
"IIIZZIIII",
"IZIIIIZII",
"IZIIIIIZI",
"ZZIIIIIII",
"IZIZIIIII",
"IZIIZIIII",
"IIIIIIZIZ",
"IIIIIIIZZ",
"ZIIIIIIIZ",
"IIIIIZZII",
"ZIIIIZIII",
"IIIZIZIII",
"IIIIZZIII",
"... | [
0.5,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.5,
0.1666666666666666... | 0.972468 | [
1.5319272356586413,
-0.2744495543257647,
1.6805627238543357,
-1.4034669230674766,
1.471704752002495,
-1.4324435646668128,
-0.6152049646696329,
0.9656817685488954,
-1.1080029286922866,
-0.4015963594738603,
0.7158163766392522,
0.6538537655819346,
-0.6045969623174505,
0.10785911906922109,
0... | {
"n_parameters": 41,
"n_qubits": 9,
"optimal_eigenvalue": -4.499999999999998,
"target_ratio": 0.97,
"target_value": -4.364999999999998
} | 19 |
589a81c8fd04d28f25b3e8e25563f55c | 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": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 3, "source": 3, ... | {"states": [0, 127], "expectation_value": -4.68941394542084, "params": [[[-0.1165, 0.1817], [-0.005200000000000001, 0.9662000000000001], [-0.0027, 0.0022], [-0.0022, -0.0026000000000000003], [-0.0026000000000000003, -0.0032], [0.0013000000000000002, 0.002], [-1.1016000000000001, 0.1353], [-0.7753, 0.2003]], [[-0.0148, ... | 0.25 * (Z(0) @ Z(7)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * Z(7) + -0.25 * Z(0) + 0.0 * Z(4) + -0.25 * Z(1) + 1.25 * Z(3) + -1.25 * Z(2) + -0.5 * Z(6) + 1.25 * Z(5) | 15 | 8 | 3 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.5130369850171268) q[0];
h q[1];
ry(0.6921837006580918) q[1];
ry(-2.9297706304665203) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4827454569868557) q[3];
h q[4];
ry(0.7494136005938985) q[4];
h q[5];
ry(0.7413727284934278) q[5];
cx q[3], q[5];
ry(-0.7413727284934278) 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": 7} | {"circuits": [], "gradients": []} | [
"ZIIIIIIZ",
"IIIZIIZI",
"IIIIZIZI",
"IIIIZZII",
"ZZIIIIII",
"IZIZIIII",
"IIZIIZII",
"IZZIIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"IIIIZIII",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII"
] | [
0.25,
-0.5,
-0.75,
-1,
-0.5,
-0.5,
-0.75,
-0.5,
-0.25,
-0.25,
0,
-0.25,
1.25,
-1.25,
-0.5,
1.25
] | 0.987277 | [
1.4827454569868557,
1.3843674013161835,
1.498827201187797,
1.4332589832961582,
-1.0260739700342536,
1.4650064478335973,
-0.45148341590726787,
0.1454629789395838,
0.03571598507532223,
0.17021348520364954,
0.09444752324091105,
-0.05078619528911972,
0.03558495876298554,
0.0021142938081167356,... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 1 |
6c28370939b7d49c2e67d552301e0191 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 12, "source": 1, "target": 4}, {"weight": 12, "source": 1, "tar... | {"states": [333, 236], "expectation_value": -18.599915183220425, "params": [[0.011300000000000001, -0.0012000000000000001, 0.0196, 0.0027], [-0.0359, -0.027100000000000003, -0.060000000000000005, -0.0443]], "bitstrings": ["010110010", "100010011"], "total_optimization_steps": 10, "probabilities": [0.005465487908683221,... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(3)) + 5.5 * Z(1) +... | 1 | 9 | 4 | {"smallest_eigenvalues": [-75.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 153.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.18259604204203672) q[0];
rz(0.08060485615533963) q[0];
rx(0.6891006369177235) q[1];
rz(0.00017102855127421046) q[1];
rx(0.7562714054488282) q[2];
rz(-0.3404311286624009) q[2];
rx(0.6891006369177235) q[3];
rz(0.02128917638359139) q[3];
rx(0.06667048808959333) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIIZII",
"IIZZIIIII",
"IIZIZIIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
5.5,
6.5,
10.5,
19.5,
15.5,
4.5,
18.5,
8.5,
1.5
] | 0.971363 | [
-0.18259604204203672,
0.2641521549594251,
0.6891006369177235,
0.00017102855127421046,
0.7562714054488282,
-0.3404311286624009,
0.02128917638359139,
0.06667048808959333,
0.37381510054334915,
0.8766187768053243,
-0.20332760614996834,
0.6899310805468107,
0.18365228317182203,
0.151142600961424... | {
"n_parameters": 99,
"n_qubits": 9,
"optimal_eigenvalue": -75.5,
"target_ratio": 0.97,
"target_value": -73.235
} | 13 |
9720f25e266b706fd55bd4bfdba0ffde | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 7}, {"capac... | {"states": [0, 3], "expectation_value": -11.385174638717904, "params": [-0.0031000000000000003, 0.006900000000000001, 0.0024000000000000002, 0.009000000000000001, 0.0027, 0.005200000000000001, 0.0022, 0.0064, 0.0025, 0.006500000000000001, 0.0024000000000000002, 0.0011, 0.0025, 0.0064, 0.0022, 0.8170000000000001, 1.3780... | -0.75 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(7)) + -0.75 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(6)) + 2.25 * (Z(9)... | 4 | 10 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["1111111100"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.0741408341554137) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0741408341554137) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.0741408341554137) q[4];
cx q[0], q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(0.0741408341554137... | 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": []} | [
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IIZIIIIIIZ",
"IIIIIIIZZI",
"IIZIIIZIII",
"IIIIIIZIZI",
"IIIZIIIZII",
"IIIZIZIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"IIIIZIIIZI",
"IIIIZIZIII",
"IIIZZIIIII",
"ZIIIIIIIIZ",
"ZIIIZIIIII",
"IZIIIZIIII",
"IZIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ"... | [
-0.75,
-0.75,
-0.5,
-0.75,
-0.25,
-0.5,
-0.75,
-0.5,
-0.75,
-0.75,
-0.5,
-1.25,
-0.75,
2.25,
-0.5,
-0.25,
-0.5,
-0.75,
0.75,
-0.25,
-0.5,
-0.75,
-0.75,
0,
-2.25,
1.25,
1,
1.5
] | 0.564688 | [
0.0741408341554137,
0.06197621550383271,
0.8086916345890799,
0.010946235500505016,
-0.03592061105577804,
1.552574919162176,
-1.5523953814026779,
1.5503243587487994,
-1.5582433635244757,
-1.5678293876828788,
-1.5566907403451635,
1.5065492327598238
] | {
"n_parameters": 12,
"n_qubits": 10,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 327 |
-6428030842702770862 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 2, 4, 7, 8], [0, 1, 3, 7], [1, 2, 5, 9], [1, 5, 6, 7, 8, 9]]} | {"states": [1016, 1018], "expectation_value": -0.15373200996960518, "params": [0.7984, 0.004200000000000001, 0.7924, 0.0027, 0.7996000000000001, -0.0038, 0.799, 0.0039000000000000003, 0.8058000000000001, 0.0036000000000000003, 0.8023, 0.0037, 0.8083, 0.0041, 0.8043, 0.0047, 0.8065, -0.0048000000000000004, 0.802, 0.0072... | 0.13333333333333333 * (Z(1) @ Z(2)) + 0.05 * (Z(4) @ Z(2)) + 0.05 * (Z(4) @ Z(1)) + 0.05 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.05 * (Z(7) @ Z(4)) + 0.05 * (Z(8) @ Z(2)) + 0.08333333333333334 * (Z(8) @ Z(1)) + 0.05 * (Z(8) @ Z(4)) + 0.08333333333333334 * (Z(8) @ Z(7)) + 0.08333333333333333 * (Z(0) @ ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-0.9000000000000002, -0.9000000000000002, -0.9000000000000002, -0.9000000000000002], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.9, "smallest_bitstrings": ["0000010100", "0000100101", "0000110100", "0000000101"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.2842861836210828) q[0];
rz(0.7654293216368298) q[0];
rx(1.8791085111359163) q[1];
rz(1.4884525274504767) q[1];
rx(2.738323643107676) q[2];
rz(1.4327081783140896) q[2];
rx(0.7516594851478389) q[3];
rz(0.8597987983227009) q[3];
rx(1.7157516199716594) q[4];
rz(1.7700... | 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": []} | [
"IIIIIIIZZI",
"IIIIIZIZII",
"IIIIIZIIZI",
"IIZIIIIZII",
"IIZIIIIIZI",
"IIZIIZIIII",
"IZIIIIIZII",
"IZIIIIIIZI",
"IZIIIZIIII",
"IZZIIIIIII",
"IIIIIIIIZZ",
"IIZIIIIIIZ",
"IIIIIIZIZI",
"IIZIIIZIII",
"IIIIIIZIIZ",
"IIIIZIIZII",
"IIIIZIIIZI",
"IIZIZIIIII",
"IZIIZIIIII",
"ZIIIIIIZII"... | [
0.13333333333333333,
0.05,
0.05,
0.05,
0.16666666666666666,
0.05,
0.05,
0.08333333333333334,
0.05,
0.08333333333333334,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.11666666666666667,
0.0333333333333... | 0.970671 | [
0.2842861836210828,
-0.8053670051580668,
1.879108511135916,
-0.08234379934441999,
2.738323643107676,
-0.13808814848080703,
0.7516594851478389,
-0.7109975284721956,
1.7157516199716596,
0.19926081109029936,
0.08545041433627588,
-0.4478959056160125,
3.0894782816017017,
1.1379671885417921,
1... | {
"n_parameters": 47,
"n_qubits": 10,
"optimal_eigenvalue": -0.9000000000000002,
"target_ratio": 0.97,
"target_value": -0.8730000000000002
} | 234 |
4cd28f9bc761b26f6d6f15aeccbaedea | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [13, 82], "expectation_value": -0.23502233192651945, "params": [[0.0402, 0.07690000000000001], [-0.011000000000000001, -0.0603]], "bitstrings": ["1110010", "0101101"], "total_optimization_steps": 10, "probabilities": [0.009364259757733879, 0.009394874108165873], "optimization_time": 2.702169895172119} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(4) + 0.0 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -1.0 * Z(6) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5, "smallest_bitstrings": ["0001111", "0010111", "0110110", "1110010", "1010011", "0101101", "1001011"], "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(0.00016732716707271525) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.00016732716707271525) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.00016732716707271525) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.00016732716707271525) q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IZZIIII",
"IZIIIZI",
"ZZIIIII",
"ZIIIIZI",
"ZIIIZII",
"IZIZIII",
"IIIZZII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1.5,
-0.5,
-1,
-0.5,
-0.5
] | 0.920635 | [
0.00016732716707271525,
-0.5924455788903747,
1.1202157596152196,
-2.1299919140966863,
-0.921283751470345,
-0.9259638537657344,
0.656788748097326,
0.05566707846777746,
-0.2350099582362983,
-0.00025338828965832576,
-0.7056870444167618,
0.6002165622279372,
0.40321396654204583,
-0.860670749125... | {
"n_parameters": 33,
"n_qubits": 8,
"optimal_eigenvalue": -63,
"target_ratio": 0.97,
"target_value": -61.11
} | 500 |
1cab3dd4a3dd8efe8c892d43e4c1bff7 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [2359, 2871], "expectation_value": -4.341320854272269, "params": [[[3.1513, 0.0089, 0.0097, 0.0012000000000000001], [1.5736, -0.0022, 0.7825000000000001, 0.0019], [-1.6287, 0.0094, 0.0032, 0.008400000000000001], [0.0023, 1.6612, 1.5732000000000002, 0.0058000000000000005], [-0.0022, 0.006200000000000001, 0.00... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(0) @ Z(6) @ Z(5)) + -0.125 * (Z(0) @ Z(5) ... | 12 | 12 | 1 | {"smallest_eigenvalues": [-4.8125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.8125, "smallest_bitstrings": ["010011001000"], "largest_eigenvalue": 7.1875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(3.0503840827163167) q[0];
rz(-0.1756154515107164) q[0];
ry(1.521794980712803) q[1];
rz(0.04614015592627445) q[1];
cz q[1], q[0];
ry(1.4252108555483234) q[1];
ry(-2.7524867613699695) q[2];
rz(-0.06137403702586505) q[2];
ry(-0.013582722298903317) q[3];
rz(1.7181962744... | 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",
"IIIIIIIIZZII",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIIIZZZII",
"IIIIIIZIIIIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIIZ",
"IIIIIZZIIIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIIIZZIIIIZ",
"IIIIZIZIIIIZ",
"IIIIZZIIIIIZ",
"IIIIZZZIIIII",
"IIIIZZZIIIIZ",
"IIZIIIZIIIII",
"IIIIIIIII... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0... | 0.9792 | [
3.0503840827163167,
-0.1756154515107164,
1.521794980712803,
0.04614015592627445,
-2.7524867613699695,
-0.06137403702586505,
-0.013582722298903317,
1.718196274441811,
0.3429490830536235,
-0.006763222755598097,
1.7301456394587007,
3.065717857661185,
0.16730510836439433,
0.18266121887774717,
... | {
"n_parameters": 30,
"n_qubits": 12,
"optimal_eigenvalue": -4.8125,
"target_ratio": 0.97,
"target_value": -4.668125
} | 15 |
-7751412552786578800 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 2, 3], [2, 4], [0, 1, 5], [0, 2], [1, 3, 4]]} | {"states": [50, 39], "expectation_value": -0.02898489591107634, "params": [[-0.0591], [0.0596]], "bitstrings": ["001101", "011000"], "total_optimization_steps": 10, "probabilities": [0.016323366409031703, 0.016323891940877414], "optimization_time": 0.8269057273864746} | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.166666666... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.6666666666666667, -1.6666666666666667, -1.6666666666666667], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.6666666666666663, "smallest_bitstrings": ["100110", "011000", "100010"], "largest_eigenvalue": 3.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.09712755861534217) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.09712755861534217) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.49742124772019325) q[3];
cx q[1], q[3];
h q[4];
cx q[2], q[4];
rz(-1.0569169396725904) q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(x1) q[3];
cx q[1], q[3];
cx ... | null | {"circuits": [], "gradients": []} | [
"IIIZZI",
"IIZZII",
"IIZIZI",
"IZIZII",
"IZIIZI",
"IZZIII",
"IIIZIZ",
"IIIIZZ",
"ZIIIZI",
"ZIIIIZ",
"IIIZII",
"IIIIZI",
"IIZIII",
"IZIIII",
"IIIIIZ",
"ZIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666674,
0.4999999999999999,
0.3333333333333333,
0.16666666666666663,
0.16666666666666663,
0.1666... | 0.653756 | [
-0.09712755861534217,
-0.49742124772019325,
-1.0569169396725904,
0.8307340775077329
] | {
"n_parameters": 4,
"n_qubits": 6,
"optimal_eigenvalue": -1.6666666666666667,
"target_ratio": 0.97,
"target_value": -1.6166666666666667
} | 113 |
0f1d9308b8b1d06d30bfa4de6cbc9040 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": ... | {"states": [10, 3], "expectation_value": -8.988863448164526, "params": [[0.0548, 0.0361, 0.0236], [-0.0816, -0.0799, -0.07010000000000001]], "bitstrings": ["110101", "111100"], "total_optimization_steps": 10, "probabilities": [0.04292918308599647, 0.044003659843625004], "optimization_time": 6.303322792053223} | 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)) + 2.25 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.25 * (Z(5) @ Z(3)) + 2.... | 11 | 6 | 3 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 70.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.6230010565610689) q[0];
rz(0.06856754591903558) q[0];
rx(0.05228651755820995) q[1];
rz(0.2247192988641979) q[1];
rx(0.623001056561069) q[2];
rz(0.422733719531101) q[2];
rx(-0.04142085028007082) q[3];
rz(0.5561544826034971) q[3];
rx(0.03278011693440643) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"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,
2.25,
2.25,
2.5,
2.5,
2.25,
2.5,
2.25,
2.5,
-5.75,
-6.25,
-6,
-6,
-5.5,
-5.5
] | 0.972312 | [
0.623001056561069,
0.312284130557242,
0.05228651755820995,
0.2247192988641979,
0.422733719531101,
-0.04142085028007082,
0.5561544826034971,
0.03278011693440643,
0.14994131830223134,
0.8695450938462626,
1.3203077449435106,
-0.04661008090570343,
0.2783265346359588,
0.09648654899272954,
1.0... | {
"n_parameters": 113,
"n_qubits": 10,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 27 |
0c36283121e8c25f75256b89b8ad4f89 | 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": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target":... | {"states": [0, 384], "expectation_value": -19.163933036563567, "params": [0.2959, 0.0409, 0.3209, -0.010400000000000001, 0.2882, 0.0618, 0.3211, -0.012, -0.0027, 0.5901000000000001, -0.0004, 0.6757000000000001, -0.0303, 0.42700000000000005, -0.0005, 0.6518, -0.0221, 0.44570000000000004, -0.0016, 0.6184000000000001, 0.0... | -1.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(3)) + 1.5 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(2)) + -2.5 * (Z(7) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + -2.5 * (Z(7) @ Z(4)) + -3.5 * (Z(8) @ Z(3)) + 1.5 * (Z(8) @ Z(2)) + -3.5 * (Z(8) @ Z(4)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(3)) + 0.5 *... | 6 | 9 | 3 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["001111111"], "largest_eigenvalue": 43.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.638822702751636) q[0];
cx q[1], q[0];
rz(-0.07776755994511442) q[0];
rx(-0.962012343407071) q[0];
rz(-0.07776755994511442) q[1];
rx(-0.962012343407071) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.5680636881758625) q[2];
cx q[3], q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IZIIIZIII",
"IZIIIIZII",
"IZIIZIIII",
"ZIIIIZIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIZIIZII",
"ZIIZIIIII",
"IIZIIZIII",
"IIZIZIIII",
"ZIZIIIIII",
"IIZZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"... | [
-1,
-3,
1.5,
-3,
-2.5,
1,
-2.5,
-3.5,
1.5,
-3.5,
1,
0.5,
1,
0.5,
0.5,
-3,
-2,
0.5,
0.5,
1.5,
-2.5,
1.5,
0.5,
-3,
-2,
1.5
] | 0.614806 | [
-1.638822702751636,
-0.5680636881758625,
-0.311753831837824,
-0.7293136013734619,
-0.33699145614501813,
-0.5403635621375146,
-0.07776755994511428,
-0.9097872087731514,
-0.962012343407071
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 244 |
879db80c5aed6ed1e5333d23205b0505 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3},... | {"states": [511, 447], "expectation_value": -33.9489760802071, "params": [[[-0.0018000000000000002, -0.0024000000000000002], [-0.0032, 0.0018000000000000002], [-0.8553000000000001, 2.487], [-0.0023, 0.6573], [1.6319000000000001, 0.0031000000000000003], [-0.0027, -0.003], [-0.0028, -0.0029000000000000002], [-0.002900000... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -2.5 * (Z(5) @ Z(7)) + -3.5 * (Z(8) @ Z(7)) + -3.5 * (Z(8) @ Z(5)) + -2.5 * (Z(3) @ Z(7)) + -2.5 * (Z(3) @ Z(5)) + 1.5 * (Z(3) @ Z(8)) + -3.0 * (Z(6) @ Z(7)) + 1.5 * (Z(6) @ Z(5)) + -3.5 * (Z(6) @ Z(8)) + -3.0 * (Z(6) @ Z(3)) + 1.0 * (Z(9) @ Z(7)) + 0.5... | 15 | 11 | 1 | {"smallest_eigenvalues": [-36.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -35.5, "smallest_bitstrings": ["11001000000"], "largest_eigenvalue": 29.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.039621084327166) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.12208803478287218) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-1.039621084327166) q[1];
rx(-1.0380660544564098) q[1];
rz(-0.12208803478287218) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIZIZIIIII",
"IIZZIIIIIII",
"IIZIIZIIIII",
"IIIZIIIZIII",
"IIIIIZIZIII",
"IIZIIIIZIII",
"IIIZZIIIIII",
"IIIIZZIIIII",
"IIZIZIIIIII",
"IIIIZIIZIII",
"IZIZIIIIIII",
"IZIIIZIIIII",
"IZZIIIIIIII",
"IZIIIIIZIII",
"IZIIZIIIIII",
"IIIZIIIIZ... | [
-1.5,
0.5,
0.5,
-2.5,
-3.5,
-3.5,
-2.5,
-2.5,
1.5,
-3,
1.5,
-3.5,
-3,
1,
0.5,
-3.5,
0.5,
-3,
0.5,
0.5,
-3,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.537028 | [
-1.039621084327166,
-0.12208803478287218,
-0.7243022484785052,
-0.5538262819147342,
-0.3714196649495363,
-0.5357948428410548,
-0.25523407297906014,
-0.7063324885137611,
-1.03806605445641
] | {
"n_parameters": 9,
"n_qubits": 11,
"optimal_eigenvalue": -36.5,
"target_ratio": 0.97,
"target_value": -35.405
} | 215 |
b22b2cbefa46f873776f50aa85d8501a | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 5}, {"weight": 19, "source": 1, "target": 4}, {"weight": 18, "sourc... | {"states": [246, 230], "expectation_value": -13.698342663827194, "params": [[-0.0361], [0.0738]], "bitstrings": ["100001001", "100011001"], "total_optimization_steps": 10, "probabilities": [0.0042275943340011266, 0.004737381879649895], "optimization_time": 1.990814447402954} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-100.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -89.0, "smallest_bitstrings": ["100011001"], "largest_eigenvalue": 211.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.021125807201959237) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.021125807201959237) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(-0.021125807201959237) q[2];
cx q[0], q[2];
rz(1.4389995262496154) q[0];
rx(1.6229883036193573) ... | 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": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIZIIIZI",
"IIIZIIZII",
"IIZIIZIII",
"IIZIIIZII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIZIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
10.5,
7,
24,
19.5,
11,
23.5,
22.5,
7.5,
-5.5
] | 0.971091 | [
-0.021125807201959237,
-1.7286763025224006,
1.4389995262496158,
-1.5336010703649725,
-1.4523797539328138,
1.170377825040356,
-1.8180581512193266,
-1.7295268468556566,
1.3601770051669757,
2.0378201857850384,
1.6229883036193573
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -100,
"target_ratio": 0.97,
"target_value": -97
} | 41 |
5010651253189077982 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 3, 4, 6, 9], [8, 9, 6], [3, 5, 7], [0, 1, 2, 8, 9], [1, 3, 5]]} | {"states": [717, 461], "expectation_value": -1.2282118040203094, "params": [[[3.1447000000000003, 0.0024000000000000002], [1.4768000000000001, 0.0098], [0.0037, 0.007500000000000001], [3.1447000000000003, 0.0051], [-0.0018000000000000002, 0.006500000000000001], [2.5331, 0.0004], [0.002, 0.0064], [3.1437, 0.0027], [3.14... | 0.05 * (Z(0) @ Z(3)) + 0.05 * (Z(4) @ Z(3)) + 0.05 * (Z(4) @ Z(0)) + 0.05 * (Z(6) @ Z(3)) + 0.05 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(4)) + 0.05 * (Z(9) @ Z(3)) + 0.1 * (Z(9) @ Z(0)) + 0.05 * (Z(9) @ Z(4)) + 0.21666666666666667 * (Z(9) @ Z(6)) + 0.05 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(8) @ Z(6)) + 0.2166666666666... | 2 | 10 | 1 | {"smallest_eigenvalues": [-1.4000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.4000000000000001, "smallest_bitstrings": ["1000110010"], "largest_eigenvalue": 4.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(3.079724774030944) q[0];
rz(-0.019549394359881987) q[0];
rx(0.46710038181955316) q[1];
rz(-0.03355573045858825) q[1];
rx(0.10711980140868621) q[2];
rz(0.3949071808513823) q[2];
rx(3.079724774030944) q[3];
rz(0.12042403792982363) q[3];
rx(0.02038704084156932) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIZIIZIII",
"IIIZIIIIIZ",
"IIIZIZIIII",
"ZIIIIIZIII",
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"ZIIZIIIIII",
"IZIIIIIIIZ",
"IZIZIIIIII",
"ZZIIIIIIII",
"IIIIZIZIII",
"IIZIIIZIII",
"IIZIZIIIII",
"IIIIIIZIZI",
"IIIIIIIIZZ",
"ZIIIIIIIZI",
"IZIIIIIIZI"... | [
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.1,
0.05,
0.21666666666666667,
0.05,
0.16666666666666666,
0.21666666666666667,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.05,
0.05,
0.05,
0.16666666666666666,
0.05,
0.05,
0.05,
0.05,
... | 0.971111 | [
3.079724774030944,
-0.019549394359881987,
0.46710038181955316,
-0.03355573045858825,
0.10711980140868621,
0.3949071808513823,
0.12042403792982363,
0.02038704084156932,
0.25752539097753036,
3.182680509344523,
-0.0006991411958129357,
0.13785458553391547,
0.2564968492777884,
2.918660639036745... | {
"n_parameters": 19,
"n_qubits": 10,
"optimal_eigenvalue": -1.4000000000000004,
"target_ratio": 0.97,
"target_value": -1.3580000000000003
} | 12 |
dcc91cdbd34687cb4cde0159b3b69295 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target": 3}, {"capaci... | {"states": [62, 1], "expectation_value": -0.79998986247282, "params": [[0.06470000000000001], [-0.051000000000000004]], "bitstrings": ["000001", "111110"], "total_optimization_steps": 10, "probabilities": [0.019308705988021625, 0.02132543176345574], "optimization_time": 2.071739912033081} | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(0)) + -1.5 * (Z(1) @ Z(2)) + -1.25 * (Z(1) @ Z(4)) + -1.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + -3.75 * Z(4) + 2.25 * Z(5) + 0.75 * Z(1) + 2.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.044664277725590396) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.9476165902599167) q[4];
cx q[0], q[4];
h q[5];
cx q[2], q[5];
rz(0.2197380806591726) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(-0.044664... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IZIIIZ",
"ZIIZII",
"ZIIIIZ",
"IIIZZI",
"IZIIZI",
"IIZZII",
"IZZIII",
"IIZIZI",
"IIIZII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIZIII"
] | [
-1.5,
-1,
-0.5,
2.75,
-1.5,
-1.25,
-1.5,
-1.5,
-1,
-1,
-0.25,
-3.75,
2.25,
0.75,
2
] | 0.971285 | [
-0.044664277725590396,
0.9476165902599167,
0.2197380806591726,
-1.0514987471546466,
0.7957038260820295,
0.9413668686439479,
0.30213414012420514,
-0.21178742517058777,
-0.276000794237401,
-0.56205179495253,
-0.048813665783677476,
0.00872254323661896,
-1.560904246060386,
-0.16892054994762315... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 244 |
42fc1cab65130010b16c5206f9faaa99 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [67, 7], "expectation_value": -12.323966147248122, "params": [[0.0485, 0.0316, -0.0002, -0.0224], [-0.0757, -0.0673, -0.0396, -0.019200000000000002]], "bitstrings": ["10111100", "11111000"], "total_optimization_steps": 10, "probabilities": [0.011771649091688667, 0.012751067321261734], "optimization_time": 16... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 1 | 8 | 4 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.020585712478965273) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.020585712478965273) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.020585712478965273) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.020585712478965273) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
2.75,
-7.25,
-7,
-7.5,
-7,
-7,
-6.25,
-6.5,
-6.5
] | 0.972491 | [
0.020585712478965273,
-0.10740732213659304,
0.9806179744216011,
1.2066222500302057,
0.807373465491872,
-0.7383480177614887,
-0.583309434460934,
1.229770317245662,
0.029731332749984192,
-0.4028832613860345,
-0.11890009039048421,
0.19530480659012922,
0.3300174811368061,
-0.05473954150926055,... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 85 |
09fb76abbd16e0a247c5e051a4b2c213 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target":... | {"states": [123, 507], "expectation_value": -12.43915622422196, "params": null, "bitstrings": ["110000100", "000000100"], "total_optimization_steps": 100, "probabilities": [0.13521113764610387, 0.4072120178317482], "optimization_time": 138.92742824554443} | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -2.0 * (Z(5) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(6) | 5 | 9 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["000000100"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.10105690138413462) q[0];
ry(0.057681567167016765) q[1];
ry(0.019346855862882352) q[2];
ry(0.0739592445580661) q[3];
ry(0.03190870371717221) q[4];
ry(0.03190870371717221) q[5];
ry(1.8415336921861332) q[6];
ry(-0.16931423208668084) q[7];
ry(0.10605870881276519) q[8]... | null | {"node": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5706) q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc... | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IIIZIZIII",
"IIIZIIZII",
"IIIZZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIZIIIIII"
] | [
-1,
-2,
-2,
-2,
-2,
-2,
-2,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970085 | [
-0.10105690138413462,
0.057681567167016765,
0.019346855862882352,
0.0739592445580661,
0.03190870371717221,
1.8415336921861332,
-0.16931423208668084,
0.10605870881276519,
3.01745888026248,
-0.04646426762316009,
0.022778981966732927,
0.022951155271462777,
0.4615522964410554,
0.38846723752847... | {
"n_parameters": 15,
"n_qubits": 9,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 20 |
-8103573777467907719 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 0, 2], [1, 3, 4], [0, 6, 7], [1, 3, 6], [2, 5]]} | {"states": [215, 119], "expectation_value": -0.41566102499144136, "params": [[0.26980000000000004], [-0.25670000000000004]], "bitstrings": ["100101000", "110001000"], "total_optimization_steps": 30, "probabilities": [0.003789204872268338, 0.0037892048722683396], "optimization_time": 2.8062028884887695} | 0.16666666666666666 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.3333333333333333 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.166666666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.8333333333333328, "smallest_bitstrings": ["001010100", "100101000", "110001000", "011000010", "001100010"], "largest_eigenva... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.21847740720797465) q[0];
rz(1.6028467210894686) q[0];
rx(2.8185940426525136) q[1];
rz(1.800131197870038) q[1];
rx(1.952559157230208) q[2];
rz(1.5323722459993485) q[2];
rx(2.824565437282172) q[3];
rz(1.6611421441511904) q[3];
rx(2.742013343779173) q[4];
rz(2.0157739... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[0], q[8];
rz(x0) q[8];
cx q[0], q[8];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIIZ",
"IIIIIIZIZ",
"ZIIIIIZII",
"IIIIIZIZI",
"IIIIZZIII",
"IIIIZIIZI",
"IIZIIIIIZ",
"IIZIIZIII",
"IIZIIIIZI",
"IZIIIIIIZ",
"IZZIIIIII",
"IIIZIIZII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"IIIZIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.1666666666... | 0.971454 | [
0.21847740720797468,
0.03205039429457138,
2.8185940426525136,
0.22933487107514133,
1.952559157230208,
-0.03842408079554814,
2.824565437282172,
0.09034581735629407,
2.742013343779173,
0.4449776276847443,
0.9077285790177151,
0.0012920616473656027,
0.988383137949559,
0.08948359835255221,
1.... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -1.8333333333333333,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 164 |
-3897479232097662972 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 3, 4, 6], [0, 1, 2, 4], [1, 2, 5, 6], [1, 3, 4], [0, 4, 5, 6], [2, 3, 4, 5, 6]]} | {"states": [123, 122], "expectation_value": -1.0367697232321897, "params": [1.2454, 0.0017000000000000001, 1.239, 0.0012000000000000001, 1.3828, 0.0181, 1.3840000000000001, 0.28900000000000003, 1.2196, -0.0161, 1.2165000000000001, 0.0024000000000000002, 1.3946, 0.1217, 1.3933, 0.5541, 0.5751000000000001, -0.4666, 0.580... | 0.13333333333333333 * (Z(0) @ Z(2)) + 0.1 * (Z(3) @ Z(2)) + 0.05 * (Z(3) @ Z(0)) + 0.18333333333333335 * (Z(4) @ Z(2)) + 0.21666666666666667 * (Z(4) @ Z(0)) + 0.26666666666666666 * (Z(4) @ Z(3)) + 0.18333333333333335 * (Z(6) @ Z(2)) + 0.13333333333333333 * (Z(6) @ Z(0)) + 0.1 * (Z(6) @ Z(3)) + 0.18333333333333335 * (Z(... | 8 | 7 | 1 | {"smallest_eigenvalues": [-1.4000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.4000000000000001, "smallest_bitstrings": ["0000101"], "largest_eigenvalue": 6.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.171576782765687) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-0.0414373740044321) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.7121562116570027) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(0.007815963939975058) q[4];
cx q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"ZIIIZII",
"ZIIIIIZ",
"ZIIZIII",
"ZIZIIII",
"IIIIZZI",
"IIIIIZZ",
"IIIZIZI",
"IIZIIZI",
"ZIIIIZI",
"IZIIZII",
"IZIIIIZ",
"IZIZIII",
"IZZIIII",
"ZZIIIII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZ... | [
0.13333333333333333,
0.1,
0.05,
0.18333333333333335,
0.21666666666666667,
0.26666666666666666,
0.18333333333333335,
0.13333333333333333,
0.1,
0.18333333333333335,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.25,
0.08333333333333333,
0.13333333333333333,
0.08333333... | 0.864696 | [
-0.171576782765687,
-0.0414373740044321,
0.7121562116570027,
0.007815963939975058,
-0.5003530255650558,
-1.4676832854371704,
-0.01150207778780783,
-0.04895197665894735,
-0.01115969338136872,
-1.3890090362871623,
0.042745043387128145,
-0.00047673348890984134,
-0.018829761176473926,
-1.56115... | {
"n_parameters": 15,
"n_qubits": 7,
"optimal_eigenvalue": -1.4000000000000004,
"target_ratio": 0.97,
"target_value": -1.3580000000000003
} | 269 |
504aff5065c6904e02914f6b44da8a9c | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 6, "source": 2, "target": 3}, {"capaci... | {"states": [1, 3], "expectation_value": -7.518418217579968, "params": [[[0.0007, 0.47040000000000004], [-0.0014, 0.6823], [-0.004200000000000001, 0.6755], [-0.0046, 0.6101], [0.4032, -0.0167], [0.7788, -0.0007]], [[0.0044, 0.5514], [-0.003, 0.6729], [-0.0022, 0.6798000000000001], [0.0011, 0.678], [0.39930000000000004, ... | -1.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(2)) + -1.0 * Z(1) + -0.25 * Z(0) + 1.5 * Z(4) + 0.25 * Z(5) + 0.0 * Z(2) + -0.5 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["111100", "110000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(2.218465923766839) q[0];
ry(0.042765624136427545) q[0];
rz(-0.8061052524417334) q[0];
rz(-1.0112966743957195) q[1];
ry(0.07111683196512385) q[1];
rz(2.066693006610179) q[1];
rz(2.322581491682673) q[2];
ry(0.018049925652938198) q[2];
rz(-0.6171351577780197) q[2];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZZIIII",
"IZIZII",
"IIZIZI",
"IZZIII",
"IIZZII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
-1.25,
-0.5,
-1,
2,
-0.75,
-0.5,
-0.75,
-0.75,
-2.5,
-1,
-0.25,
1.5,
0.25,
0,
-0.5
] | 0.977881 | [
0.02681023544117119,
1.2949933238767635,
-0.04194887284367421,
1.1182076517744217,
0.012354700342274504,
1.5034941811146303,
1.3630154095874347,
-1.2292150948427067,
-0.139794753745842,
1.624751878363779,
0.02009940461632976,
0.11702147738122079,
-0.06360297258389466,
0.20187600412910067,
... | {
"n_parameters": 18,
"n_qubits": 6,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 6 |
05d49a7fc39b30c4a6fe8fddcf8a0ac0 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [174, 686], "expectation_value": -0.9559080846388139, "params": [[[0.45180000000000003, -0.0461, 0.0079, 0.0001], [0.3242, 0.0028, 0.3677, -0.2278], [0.2058, 0.3743, 0.022000000000000002, 0.2723], [-0.1456, 0.2104, 0.4398, 0.0869], [-0.0059, -0.3158, -0.009000000000000001, -0.1842], [0.08030000000000001, 0.3... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(3) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(6) @ Z(7)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(8) @ Z(4)) + 0.125 * (Z(4) @ Z(9)) + 0.12... | 11 | 10 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.25, "smallest_bitstrings": ["0011010010", "0101100100", "0101100001", "0101110000", "1100100100", "0111100000", "0101011000... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.21493813320880895) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.21493813320880895) q[3];
cx q[1], q[3];
rz(-0.42725429701420525) q[1];
rx(-0.43546813025131703) q[1];
h q[4];
h q[5];
cx q[0], q[5];
rz(0.21493813320880895) 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": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIIZIIZ",
"IIIIZZIIII",
"IIIZIIZIII",
"IIZIIIZIII",
"IIZZIIIIII",
"IIZZIIZIII",
"IIIZIZIIII",
"IZIIIZIIII",
"ZIIIIZIIII",
"IZIZIIIIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IZIZIZIIII",
"ZIIZIZIIII",
"ZZIIIZIIII",
"ZZIZIIIIII"... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.25,
-0.25,
0.125... | 0.970319 | [
0.21493813320880895,
-0.4272542970142054,
0.6996443743819517,
0.13185519206169583,
-0.43546813025131714,
-0.06399764068666867,
-0.9371916760271057,
0.5610814291560571,
0.5035362400336713,
0.43039485442026654,
-0.1403377421992738,
-0.07808590403612464,
0.1558547390602689,
0.829870827594546,... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 29 |
d67dce3f5139cf39967f12d8ad7a1f95 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "ta... | {"states": [234, 226], "expectation_value": -3.719095888479221, "params": [0.2681, 0.0051, 0.2664, 0.005200000000000001, 0.3009, -0.0001, 0.2994, -0.0008, 0.3013, 0.0009000000000000001, 0.2987, 0.0014, -0.0112, 0.1766, -0.0154, 0.17370000000000002, 0.1421, 0.0737, 0.1458, 0.1096, -0.0117, 0.1728, -0.0051, 0.1699, 0.302... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + -0.5 * Z(4) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(7) + 0.0 * Z(1) + -0.5 * Z(2) + -1.0 * Z(3) + -0.5 * Z(6) | 7 | 8 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["10010101", "00011101", "00101101"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.057985733596822256) q[0];
rz(-0.08921433292265135) q[0];
rx(0.8289694419369887) q[1];
rz(-0.25300377968612575) q[1];
rx(0.9066313360301113) q[2];
rz(0.12177703936276048) q[2];
rx(0.6242911106387234) q[3];
rz(0.24462902398542496) q[3];
rx(-0.05191058184150418) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} | [
"IIIZIIIZ",
"IIZIIIIZ",
"ZIIIIIZI",
"IIZIIZII",
"IIIZZIII",
"ZIIIZIII",
"IIIIZZII",
"IZZIIIII",
"ZZIIIIII",
"IIIZIIII",
"IIIIIIIZ",
"IIZIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1,
-1,
0,
-0.5,
-1,
-0.5
] | 0.971565 | [
-0.057985733596822256,
0.02695926161404545,
0.8289694419369887,
-0.25300377968612575,
0.9066313360301113,
0.12177703936276048,
0.6242911106387234,
0.24462902398542496,
-0.05191058184150418,
0.3538364534705118,
1.0072361229926894,
0.24733858529044117,
0.27827590024031423,
0.0244402588190312... | {
"n_parameters": 105,
"n_qubits": 9,
"optimal_eigenvalue": -74.5,
"target_ratio": 0.97,
"target_value": -72.265
} | 11 |
ed501d4a76767c2e5786bed6521844e8 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": ... | {"states": [1023, 1008], "expectation_value": -0.7366302230623364, "params": [[0.0318], [-0.0322]], "bitstrings": ["0000000000", "0000001111"], "total_optimization_steps": 10, "probabilities": [0.0012188877211067033, 0.0012257894528368697], "optimization_time": 3.315721273422241} | -2.5 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -3.0 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 1.0 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(3)) + -2.... | 1 | 10 | 1 | {"smallest_eigenvalues": [-32.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.5, "smallest_bitstrings": ["0000001111"], "largest_eigenvalue": 26.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.6449870930048136) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.6074633329258776) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.6449870930048136) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.6074633329258776) q[3];
cx q[1], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(... | {"node": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIIZII",
"IIIIZIZIII",
"IIZZIIIIII",
"IZZIIIIIII",
"IZIZIIIIII",
"ZIZIIIIIII",
"ZIIZIIIIII",
"ZZIIIIIIII"... | [
-2.5,
-3,
-2.5,
-3,
-2.5,
-2.5,
-2.5,
0.5,
0.5,
0.5,
1,
1,
-2.5,
-2.5,
-2.5,
0.5,
-2.5,
0.5,
-2.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-2,
1.5,
-1.5
] | 0.563338 | [
-0.6449870930048136,
-0.6074633329258776,
-0.15580398012622473,
-0.33700163520317433,
-0.7394000051606034,
-0.22414144969786626,
-0.6851613289116119,
-1.027713772133322
] | {
"n_parameters": 8,
"n_qubits": 10,
"optimal_eigenvalue": -32.5,
"target_ratio": 0.97,
"target_value": -31.525
} | 190 |
e33d6f1fc62bdc37a895a648cbf909d1 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "ta... | {"states": [0, 112], "expectation_value": -17.570057767783386, "params": [-0.3724, 0.19390000000000002, -0.38480000000000003, 0.4229, -0.3819, 0.1799, -0.3784, 0.48560000000000003, -0.37920000000000004, 0.4436, -0.35100000000000003, 0.9637, -0.2806, 0.37820000000000004, -0.33340000000000003, 0.7070000000000001, -0.0065... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(3)) + -2.5 * (Z(4) @ Z(5)) + 1.0 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -2.0 * Z(5) + 1.5 * Z(3) + -2.0 * Z(6) + 1.5 * Z(4) | 6 | 7 | 3 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["0001111"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.172440072829037) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.172440072829037) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.031941857226234216) q[1];
rx(-1.103507315488369) q[1];
rz(-1.172440072829037) q[2];
cx q[0], q[2];
rz(0.0319... | 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... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IZIZIII",
"ZZIIIII",
"ZIIZIII",
"IZZIIII",
"IIZZIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIIZIII",
"ZIIIIII",
"IIZIIII"
] | [
-1.5,
-1.5,
-1.5,
-2.5,
-2.5,
-2.5,
-2.5,
1,
-2.5,
0.5,
0.5,
0.5,
-2,
1.5,
-2,
1.5
] | 0.684074 | [
-1.172440072829037,
-0.753228570136881,
-0.460136997912491,
0.031941857226234355,
-0.1475340401282707,
0.13187821518191614,
-1.1035073154883688
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 201 |
8fcf50f85ec3dd02c0199581a34889e9 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": ... | {"states": [972, 1020], "expectation_value": -9.983375052811484, "params": null, "bitstrings": ["0000110011", "0000000011"], "total_optimization_steps": 100, "probabilities": [0.15579329592640204, 0.4672958997602895], "optimization_time": 205.618102312088} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(9) @ Z(6)) + -1.5 * (Z(8) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 1.0 * Z(7) + -1.5 * Z(6) + -1.5 * Z(9)... | 1 | 10 | 1 | {"smallest_eigenvalues": [-11.5, -11.5, -11.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.5, "smallest_bitstrings": ["0000001111", "0000000011", "0000001100"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.17964282078365862) q[0];
rz(-1.4325178214387142) q[0];
rx(0.13177528306522893) q[1];
rz(1.6866205701580137) q[1];
rx(3.0459017455715838) q[2];
rz(1.6140134416492646) q[2];
rx(-2.3270221287958153) q[3];
rz(1.4220167681406473) q[3];
rx(2.1839997313437873) q[4];
rz(1... | null | {"node": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5... | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIZZIIII",
"IIZZIIIIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIZIIIIIII",
"IIIZIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII"
] | [
-1.5,
0.5,
-2,
0.5,
-1.5,
-1,
-1.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
-1.5,
1
] | 0.971241 | [
0.17964282078365862,
3.2798711589459755,
0.1317752830652289,
0.11582424336311689,
-3.237283561608003,
0.0432171148543675,
-2.3270221287958153,
-0.1487795586542503,
2.1839997313437873,
0.13580493609640423,
-1.7368219800039917,
0.12714822573027604,
0.005937208965064021,
1.3158115210729797,
... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 220 |
aacaa96485aecd447212f3a2ddad723b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 6}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 5, "source": 0, "target": 8}, {"capacity": 2, "s... | {"states": [161, 129], "expectation_value": -2.238761404996575, "params": [[-0.0536, -0.056900000000000006], [0.064, 0.0689]], "bitstrings": ["101011110", "101111110"], "total_optimization_steps": 10, "probabilities": [0.004309194066801945, 0.004492848735412503], "optimization_time": 2.9048242568969727} | -0.25 * (Z(0) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(0)) + 2.0 * (Z(8) @ Z(0)) + -0.5 * (Z(1) @ Z(8)) + -1.0 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(7)) + -0.75 * (Z(4) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + -1.25 * (Z(5) @ Z(6)) + 3.5 * Z(6) + -0.25 * Z(0) + -2.25 * Z(7) + 1.5 * Z(8) + 0.5 * Z(1) + -2.5 * Z(2) + -0.7... | 1 | 9 | 2 | {"smallest_eigenvalues": [-15.0, -15.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.0, "smallest_bitstrings": ["101111110", "101011110"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(0.4913160654204863) q[0];
cx q[6], q[0];
h q[7];
cx q[6], q[7];
rz(0.028512783119828907) q[7];
cx q[6], q[7];
cx q[0], q[7];
cx q[6], q[2];
rz(0.08515804722401596) q[2];
cx q[6], q[2];
cx q[6], 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": 8} | {"circuits": [], "gradients": []} | [
"IIZIIIIIZ",
"IZZIIIIII",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIZIIIZII",
"IZIIIIZII",
"IIIIZIZII",
"IIIIIZZII",
"IIZZIIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII"
] | [
-0.25,
-1.5,
-1.5,
2,
-0.5,
-1,
-0.75,
-0.75,
-1.5,
-1.25,
3.5,
-0.25,
-2.25,
1.5,
0.5,
-2.5,
-0.75,
1.5,
-1.25
] | 0.971071 | [
0.4913160654204863,
0.028512783119828907,
-0.10664507011831546,
0.20651815175090793,
0.08515804722401596,
0.2830349843323535,
0.25990397793380765,
0.7521858922283763,
0.762225500893824,
-0.7412541471942645,
-0.628866500207978,
0.8576843208197956,
1.564883096515674,
0.5534726737838552,
0.... | {
"n_parameters": 39,
"n_qubits": 9,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 113 |
1dcb3c744ddd55658248ce3c7196418c | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}]} | {"states": [65147, 56955], "expectation_value": -17.8338469691894, "params": [0.7564000000000001, 0.7574000000000001, 0.8746, 0.7419, 0.8702000000000001, 0.6656000000000001, 0.5034000000000001, 0.5052, 0.7369, 0.7624000000000001, 0.6671, 0.6164000000000001, 0.8577, 0.5765, 0.1706, 0.17020000000000002, 0.1651, 0.1653, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7... | 14 | 16 | 2 | {"smallest_eigenvalues": [-19.999999999999897], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999854, "smallest_bitstrings": ["0010000110000100"], "largest_eigenvalue": 68.0000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(1.0652804248318555) q[0];
rz(-0.4790339043757319) q[0];
rx(0.9745577300577288) q[1];
rz(0.29346053770470665) q[1];
rx(0.0157130110860835) q[2];
rz(0.618448567596635) q[2];
rx(1.0308831125161482) q[3];
rz(0.23627299479722735) q[3];
rx(1.1756644845217723) q[4];
rz(0.3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIZI",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZIIIIIIZ",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.5,
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,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
... | 0.970132 | [
1.0652804248318557,
-0.3214709232980808,
0.9745577300577288,
0.29346053770470665,
0.0157130110860835,
0.618448567596635,
1.0308831125161482,
0.23627299479722735,
1.1756644845217723,
0.3067858491711559,
1.00009586838585,
-0.016079870551915385,
1.0041750502695932,
-0.3884080547291887,
0.19... | {
"n_parameters": 137,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999897,
"target_ratio": 0.97,
"target_value": -19.3999999999999
} | 19 |
a73867065d086a9866d0f80c9446dd3e | 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": [1889, 1633], "expectation_value": -75.21566295191461, "params": [2.2106, 0.0041, 2.1991, 0.0034000000000000002, 1.5518, 0.0026000000000000003, 0.9966, 0.0024000000000000002, 2.2082, 0.0059, 2.1991, 0.0076, -0.0031000000000000003, 0.009600000000000001, 0.0031000000000000003, 0.0071, 0.003, 0.0004, 0.99140000... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(2) @ Z(0)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(5) @ Z(3)) + 8.0 * (Z(6) @ Z(4)) + 8.0 * (Z(7) @ Z(5)) + 8.0 * (Z(8) @ Z(0)) + 8.0 * (Z(9) @ Z(1)) + 8.0 * (Z(10) @ Z(9)) + 17.5 * Z(1) + 14.0 * Z(0) + 4.5 * Z(2) + 15.0 * Z(4) + 0.5 * Z(3) + 13.5 * Z(... | 18 | 11 | 1 | {"smallest_eigenvalues": [-132.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -113.5, "smallest_bitstrings": ["00110011110"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.6350403476609798) q[0];
rz(0.028328618668198136) q[0];
rx(1.5813104944510226) q[1];
rz(-0.19254523313255914) q[1];
rx(-0.1329977132418672) q[2];
rz(0.5639271510252865) q[2];
rx(0.2524799255863069) q[3];
rz(-0.017609878617309817) q[3];
rx(1.4508183598634878) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIIIZIZIII",
"IIIIZIZIIII",
"IIIZIZIIIII",
"IIZIIIIIIIZ",
"IZIIIIIIIZI",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IIIZIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
17.5,
14,
4.5,
15,
0.5,
13.5,
-7,
-7.5,
-5.5,
0.5,
2
] | 0.971598 | [
1.6350403476609798,
0.14623731671338253,
1.5813104944510226,
-0.19254523313255914,
-0.1329977132418672,
0.5639271510252865,
0.2524799255863069,
-0.017609878617309817,
1.4508183598634878,
0.12977038125830853,
1.8349248686948254,
0.05470901326614795,
-0.08360962460633659,
0.6577766549161908,... | {
"n_parameters": 61,
"n_qubits": 11,
"optimal_eigenvalue": -132.5,
"target_ratio": 0.97,
"target_value": -128.525
} | 19 |
-4448313108001385495 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 6], [0, 2, 3, 4, 5], [2, 5, 7], [1, 5, 7], [3, 6, 7], [0, 1, 2], [1, 4], [0, 2, 3, 4, 7]]} | {"states": [241, 113], "expectation_value": -2.026809452821996, "params": [1.0371000000000001, 0.2571, 1.0462, 0.0076, 1.4029, -0.08660000000000001, 1.3939000000000001, 0.0013000000000000002, 1.403, 0.022000000000000002, 1.3938000000000001, 0.0055000000000000005, 1.3973, -0.033, 1.3928, 0.009600000000000001, 0.4143, 0.... | 0.5 * (Z(2) @ Z(6)) + 0.26666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.1 * (Z(3) @ Z(2)) + 0.1 * (Z(3) @ Z(0)) + 0.1 * (Z(4) @ Z(2)) + 0.1 * (Z(4) @ Z(0)) + 0.1 * (Z(4) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(2)) + 0.05 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(4)) + 0.166... | 5 | 8 | 1 | {"smallest_eigenvalues": [-2.533333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4000000000000004, "smallest_bitstrings": ["10001110"], "largest_eigenvalue": 7.0} | 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];
h q[6];
cx q[6], q[2];
rz(-1.5357322138863658) q[2];
cx q[6], q[2];
cx q[2], q[0];
rz(-0.023154742336404174) q[0];
cx q[2], q[0];
cx q[6], q[3];
rz(-0.013831009892790265) q[3];
cx q[6], q[3];
cx q[2], q[3];
rz(0.0020026430... | 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": []} | [
"IZIIIZII",
"IIIIIZIZ",
"IZIIZIII",
"IIIIZZII",
"IIIIZIIZ",
"IIIZIZII",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIZII",
"IIZIIIIZ",
"IIZIZIII",
"IIZZIIII",
"ZZIIIIII",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIZIIII",
"ZIZIIIII",
"IIIIIZZI",
"IIIIIIZZ",
"IIIZIIZI",
"IIZIIIZI",
"ZIIIIIZ... | [
0.5,
0.26666666666666666,
0.16666666666666666,
0.1,
0.1,
0.1,
0.1,
0.1,
0.21666666666666667,
0.05,
0.05,
0.05,
0.16666666666666666,
0.21666666666666667,
0.05,
0.21666666666666667,
0.05,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
... | 0.741682 | [
-1.5357322138863658,
-0.023154742336404174,
-0.013831009892790265,
0.002002643002527491,
-0.09206349616061922,
0.02059959768059282,
-0.4605080498398993,
0.01612401832683437,
-1.5301376856856244,
0.5090219430324394,
-0.7457256667215661,
-1.032820208804232,
0.8965325998158942
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -2.533333333333333,
"target_ratio": 0.97,
"target_value": -2.457333333333333
} | 293 |
b92c16178f977d94a04901a5809941e1 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 3, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -21.714781303573435, "params": [-0.0005, 0.14700000000000002, -0.0026000000000000003, 0.1206, 0.0016, 0.1496, 0.0051, 0.1665, 0.19890000000000002, -0.0001, 0.2021, 0.0048000000000000004, 0.0033, 0.16, 0.0023, 0.1713, 0.0016, 0.14600000000000002, 0.0011, 0.1507, 0.0038, 0.1552, ... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(8) @ Z(0)) + -0.75 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(8)) + 4.0 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(9)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(10) @ Z(1)) + -0.75 * (Z(10) @ Z(2)) + -1.5 * (Z(10) @ Z(6)) + -2.0 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(10)) + -2.25 * (Z(7) @... | 7 | 11 | 4 | {"smallest_eigenvalues": [-27.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.75, "smallest_bitstrings": ["11011111111"], "largest_eigenvalue": 25.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.3275198513596131) q[0];
rz(1.8166598013192008) q[0];
rx(-0.06429994971731434) q[1];
rz(1.7222673694459125) q[1];
rx(0.8135767518249047) q[2];
rz(1.6135704463913) q[2];
rx(-0.031199877835869107) q[3];
rz(1.7254602191006292) q[3];
rx(0.0068836676576478064) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIZIIIIIIIZ",
"IZIIIIIIIIZ",
"IZZIIIIIIII",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IZIIIIIZIII",
"IIIIZIIIIZI",
"ZIIIIIIIIZI",
"ZIIIIIIIZII",
"ZIIIZIIIIII",
"IIIIIZIZIII",
"ZIIIIZIIIII",
"IIZZIIIIIII",
"IIIZZIIIIII",
"IZIIIIZIIII",
"IIIZIIZIIII",
"IIIIIIIIIZI",
"IIIIIIIII... | [
-1.5,
-1.5,
-0.75,
-1,
4,
-1.5,
-0.5,
-1,
-0.5,
-0.75,
-1.5,
-2,
-0.75,
-2.25,
-1.5,
-0.5,
-1.25,
-0.5,
-0.25,
-2.25,
0.25,
3.25,
0.5,
1.5,
-1.5,
1.25,
-0.5,
-1.75
] | 0.973345 | [
-0.3275198513596131,
0.24586347452430266,
-0.06429994971731434,
0.15147104265101693,
0.8135767518249047,
0.042774119596403676,
-0.031199877835869107,
0.15466389230573124,
0.006883667657647807,
0.3842708451905318,
0.33659331499359174,
0.28281537468596357,
-0.1679198272155051,
-0.04223494243... | {
"n_parameters": 106,
"n_qubits": 11,
"optimal_eigenvalue": -27.75,
"target_ratio": 0.97,
"target_value": -26.9175
} | 9 |
af56ef2bee9fa35379eebfd165c008bc | 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": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [26, 56], "expectation_value": -0.25808067940701024, "params": [[-0.0604], [0.07010000000000001]], "bitstrings": ["1100101", "1000111"], "total_optimization_steps": 10, "probabilities": [0.008704233249086724, 0.008704233249086724], "optimization_time": 1.5212037563323975} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -2.0 * Z(4) + -1.0 * Z(5) + -1.0 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100101", "1000111"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.011858494992534028) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.011858494992534028) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.011858494992534028) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.011858494992534028) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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[0], q[2];
rz(x0) q[2];
cx q[0], q[2]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IZIIIZI",
"IZIIIIZ",
"IZZIIII",
"ZIIIZII",
"ZIZIIII",
"ZIIZIII",
"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,
-1,
-1.5,
-1,
-2,
-1,
-1,
0
] | 0.852204 | [
-0.011858494992534028,
-0.4399264199198752,
-1.4993815548133493,
-1.6036786703490618,
0.05348708471282885,
-1.5784591831106949,
1.3448833506454543,
-2.032242889741459,
-2.2699821520766057,
-1.6678431398089475,
-0.5597235221639837,
0.40876528620131225,
-2.183900960248195,
-3.412156663907455... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 500 |
5f79bb35bd8dc69bae5409f6ad22880d | 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": 16, "source": 0, "target": 6}, {"weight": 19, "source": 0, "target": 2}, {"weight": 11, "source": 1, "tar... | {"states": [237, 234], "expectation_value": -31.567825365846616, "params": [[0.028900000000000002, 0.003, -0.0126, 0.0034000000000000002], [-0.0852, -0.0741, -0.0551, -0.0398]], "bitstrings": ["100010010", "100010101"], "total_optimization_steps": 10, "probabilities": [0.008833567611675766, 0.011203041425254273], "opti... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(7)) + 18.5 * Z(1) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 160.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.17775491171863128) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.17775491171863128) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.17775491171863128) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.17775491171863128) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
18.5,
7.5,
17,
10,
9,
14,
3.5,
14.5,
3
] | 0.972269 | [
-0.17775491171863128,
0.7422707239645959,
-0.7137277656696318,
1.6903885489159691,
0.7844568988491945,
-0.5365404642561677,
1.9330020999914095,
-1.083635569950808,
1.1994395883958007,
-0.9472891092943098,
-0.0656266765701447,
0.20635363420558683,
0.5554917030294928,
-0.8286751457896198,
... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -78,
"target_ratio": 0.97,
"target_value": -75.66
} | 67 |
f907fef774f6ac859ad4ff3ba322e9a8 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 6}, {"weight": 1, "source": 1, "target... | {"states": [21798, 21926], "expectation_value": -0.1124050228201922, "params": [0.751, 0.15280000000000002, 0.6956, 0.0095, 0.8907, 0.1153, 0.8851, 0.0019, 0.8157000000000001, -0.1496, 0.6980000000000001, 0.0007, 0.8907, -0.14880000000000002, 0.8487, 0.0035, 0.8238000000000001, 0.1496, 0.7211000000000001, 0.0053, 0.884... | 0.25 * (Z(0) @ Z(1)) + -0.0006944444444444445 * (Z(2) @ Z(0)) + -0.0006944444444444445 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0002314814814814815 * (Z(4) @ Z(0)) + -0.0011574074074074073 * (Z(4) @ Z(2)) + 0.0002314814814814815 * (Z(5) @ Z(1)) + -0.0011574074074074073 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0009... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.0228395061727964], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0228395061727773, "smallest_bitstrings": ["1010101001011001"], "largest_eigenvalue": 2.0145061728394764} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.423507275287985) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.0014740475103217437) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.0014740475103217437) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-1.423507275287985) q[3];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"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,
-0.0006944444444444445,
-0.0006944444444444445,
0.25,
0.0002314814814814815,
-0.0011574074074074073,
0.0002314814814814815,
-0.0011574074074074073,
0.25,
-0.0009259259259259261,
-0.0009259259259259261,
0.00015432098765432098,
-0.0009259259259259261,
-0.0009259259259259261,
0.000154... | 0.974648 | [
-1.423507275287985,
-0.0014740475103217437,
0.02447519882118908,
0.026628112931451127,
0.03008078578291139,
0.05534662295840886,
0.04028745311327378,
0.029199518572590524,
0.798170788362576
] | {
"n_parameters": 9,
"n_qubits": 16,
"optimal_eigenvalue": -2.022839506172799,
"target_ratio": 0.97,
"target_value": -1.962154320987615
} | 31 |
64af4c2b79332f45cc93f4adbc07969b | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [85, 54], "expectation_value": -0.07898153816909927, "params": [[0.0584], [-0.047400000000000005]], "bitstrings": ["0101010", "1001001"], "total_optimization_steps": 10, "probabilities": [0.008379970021654025, 0.008380346816662162], "optimization_time": 1.1166722774505615} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["1001001", "0101010", "1001010"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.25338627450980583) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.25338627450980583) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.9473661220913092) q[1];
rx(-0.2080075969347992) q[1];
rz(-0.25338627450980583) q[3];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IZIIIIZ",
"IIIZZII",
"IIZZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"IIIIZII",
"IIZIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
-0.5,
0,
0,
0
] | 0.970986 | [
-0.25338627450980583,
0.9473661220913083,
-0.9337401987869697,
0.3531371851195526,
-0.5804148754389825,
-0.2080075969347992,
0.17985523282227697,
0.325923884646385,
-0.24865337180145192,
0.8217671501540741,
0.8735651033300764,
0.040642181543637954,
0.4716806334505762,
-0.310381831459071,
... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 36 |
fcbb218df226fcf3e63ace465c64eb26 | 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": 2}, {"weight": 1, "source": 2, "target... | {"states": [43605, 21930], "expectation_value": -0.2002343913578013, "params": [[0.24430000000000002], [-0.24100000000000002]], "bitstrings": ["0101010110101010", "1010101001010101"], "total_optimization_steps": 30, "probabilities": [3.299946304205637e-05, 3.2999463042056385e-05], "optimization_time": 17.37796425819397... | 0.25 * (Z(0) @ Z(1)) + -0.0009297520661157026 * (Z(2) @ Z(0)) + -0.0009297520661157026 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0002066115702479339 * (Z(4) @ Z(0)) + -0.0009297520661157026 * (Z(4) @ Z(2)) + 0.0002066115702479339 * (Z(5) @ Z(1)) + -0.0009297520661157026 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0008... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.022933884297506], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.022933884297475, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.012809917355194} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.4796767432005775) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.1493698907853389) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.1493698907853389) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(1.4796767432005775) q[3];
cx q[2], q[3];
h... | 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,
-0.0009297520661157026,
-0.0009297520661157026,
0.25,
0.0002066115702479339,
-0.0009297520661157026,
0.0002066115702479339,
-0.0009297520661157026,
0.25,
-0.0008264462809917356,
0.0003099173553719008,
-0.0008264462809917356,
-0.0008264462809917356,
0.0003099173553719008,
-0.0008264... | 0.972919 | [
1.4796767432005775,
0.1493698907853389,
-0.11091886730795715,
-0.040183750222890585,
0.004887040775316865,
-0.027779610427973403,
0.08212541687419017,
-0.00958042607699886,
-0.7631704852111495
] | {
"n_parameters": 9,
"n_qubits": 16,
"optimal_eigenvalue": -2.022933884297506,
"target_ratio": 0.97,
"target_value": -1.9622458677685808
} | 28 |
edc3bac605c0e8fb4f027513dd92e8fb | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [206, 143], "expectation_value": -1.9921650704592762, "params": null, "bitstrings": ["00110001", "01110000"], "total_optimization_steps": 62, "probabilities": [0.09659391380377318, 0.7394272563540675], "optimization_time": 132.99996280670166} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 1 | 8 | 4 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -1.25, "smallest_bitstrings": ["01010100", "11000010", "00110001", "00111000", "10010001", "10000011", "01000110", "01001010", "01110000", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.16175234084033957) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.16175234084033957) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.16175234084033957) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.16175234084033957) q[4];
c... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.1871) q[6], 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] = me... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIIZZIIZ",
"IIZIZIIZ",
"IIZZIIIZ",
"IIZZZIII",
"IIZZZIIZ",
"IZIIZIII",
"IIIZIIZI",
"ZIIIIIZI",
"ZIIZIIII",
"ZIIZIIZI",
"IIZIIZII",
"IZIIIZII",
"ZIIIIZI... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0,
0.125,
-0.125,
0.12... | 0.972373 | [
-0.16175234084033957,
-1.87532801107341,
-0.05801357308838576,
0.10605362145925226,
-1.1416650171566816,
0.4399114001229122,
1.0360662674525876,
-1.009520344317765,
0.7718866700779633,
-0.5658460915133537,
0.2880179831430165,
-2.7932233839467817,
-0.24448320489468112,
-0.7290022026259505,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 239 |
a4887282391b847c36275b441eb6d545 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": ... | {"states": [20, 3], "expectation_value": -1.045747917794011, "params": [[-0.0545, -0.07690000000000001], [0.0584, 0.07350000000000001]], "bitstrings": ["101011", "111100"], "total_optimization_steps": 10, "probabilities": [0.021906757745974503, 0.021906757745974524], "optimization_time": 3.4601120948791504} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(1) + -2.0 * Z(0) + -2.0 *... | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["111100", "101011"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.5947826491304309) q[0];
ry(-3.1353499367076596) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5947826491304309) q[2];
h q[3];
ry(1.4438293180331603) q[3];
ry(-0.08654683917800882) q[4];
rz(-pi) q[4];
cx q[3], q[4];
ry(0.08255773053450952) q[4];
cx q[3], q[4];
ry(-0.08... | 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[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
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,
-2,
-1.5,
-1.5,
-1.5
] | 0.999195 | [
-1.5947826491304309,
-1.4016917570823781,
1.4438293180331603,
-0.16511546106901903,
0.2414485837592053,
0.10282247901678558
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
1ba2ebfd309b0e7a51e89a9f5e1fc243 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capac... | {"states": [387, 131], "expectation_value": -0.08638218521016924, "params": [[-0.0381], [0.037700000000000004]], "bitstrings": ["1001111100", "1101111100"], "total_optimization_steps": 10, "probabilities": [0.001056894035033893, 0.0010597683485066688], "optimization_time": 3.1478564739227295} | -0.25 * (Z(0) @ Z(3)) + -0.75 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(2)) + -0.5 * (Z(8) @ Z(2)) + 1.25 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(5)) + -0.25 * (Z(9) @ Z(2)) + -0.5 * (Z(9) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.0, "smallest_bitstrings": ["1001111100", "1001111000", "1101111100", "1101111000"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.5435724973832478) q[0];
h q[1];
h q[2];
ry(1.60553270612249) q[2];
rz(-pi) q[3];
ry(-0.039195701137748395) q[3];
ry(-0.271381111482453) q[4];
rz(-pi) q[4];
ry(-0.09774851241138072) q[5];
rz(-pi) q[5];
h q[6];
ry(-1.6069797629833635) q[6];
h q[7];
h q[8];
... | 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[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIZIZIII",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIZIIIIZI",
"IIIZIIIZII",
"IIIIIIIZZI",
"IIZIZIIIII",
"IIZIIIIZII",
"IZIIIIIZII",
"ZIIIIIIIIZ",
"ZIIIZIIIII",
"ZIIIIIIZII",
"ZZIIIIIIII",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIZIZIIII",
"IZIIIZIIII",
"IIIIIIZIII",
"IIIIIIIIIZ"... | [
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
1.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.75,
-0.75,
-0.25,
0.25,
-0.25,
-0.25,
-1,
0.25,
1.5,
0.25,
0.25,
0,
-1
] | 0.973032 | [
1.60553270612249,
-1.0871449947664955,
-1.6069797629833635,
-1.3467415068748914,
-1.645056077871255,
1.072062726545818,
-0.6555179101580553,
1.3880737753115537,
0.37893192140828647,
-0.24535356636188016,
0.24418821356035764,
-0.17154003205098434,
-0.15059668292025746,
-0.044618021006704714... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 25 |
-1106392602198058314 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], "hyperedges": [[9, 11, 1], [0, 4, 8, 10, 12], [0, 7, 9, 11, 12], [9, 10], [0, 1, 2, 3, 5, 6, 8, 11, 13], [0, 1, 2, 6, 9, 12, 13], [1, 2, 4, 6, 9, 12, 13], [1, 11, 4, 5], [10, 6], [2, 6, 7], [0, 2, 3, 5, 7, 8, 10, 12, 13], [0, 3, 4, 7, 13], [0, 1, 4, 6, 11, 13], ... | {"states": [14002, 14066], "expectation_value": -4.394839576509938, "params": [2.8841, 0.003, 2.8873, 0.0027, 1.351, 0.0081, 2.1839, 0.0039000000000000003, 2.8891, 0.0034000000000000002, 1.3376000000000001, 0.0037, 2.9036, 0.0014, 1.6709, 0.0047, 2.895, 0.005200000000000001, 2.8987000000000003, 0.007200000000000001, 0.... | 0.21666666666666667 * (Z(9) @ Z(11)) + 0.2972222222222222 * (Z(1) @ Z(11)) + 0.37261904761904757 * (Z(1) @ Z(9)) + 0.09722222222222221 * (Z(0) @ Z(11)) + 0.11547619047619048 * (Z(0) @ Z(9)) + 0.1365079365079365 * (Z(0) @ Z(1)) + 0.11666666666666667 * (Z(4) @ Z(11)) + 0.08095238095238094 * (Z(4) @ Z(9)) + 0.215476190476... | 3 | 14 | 1 | {"smallest_eigenvalues": [-5.728174603174539], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.619841269841168, "smallest_bitstrings": ["00100100001101"], "largest_eigenvalue": 21.500000000000057} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
rx(-2.865326428500452) q[0];
rz(0.7174350678332875) q[0];
rx(3.0985849039387383) q[1];
rz(0.27646411432517093) q[1];
rx(-0.056755960656924294) q[2];
rz(0.11834864244674037) q[2];
rx(2.91305479966253) q[3];
rz(-0.19824945354104528) q[3];
rx(-2.8818114402378483) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIZIIIIIIIII",
"IIZIIIIIIIIIZI",
"IIIIZIIIIIIIZI",
"IIZIIIIIIIIIIZ",
"IIIIZIIIIIIIIZ",
"IIIIIIIIIIIIZZ",
"IIZIIIIIIZIIII",
"IIIIZIIIIZIIII",
"IIIIIIIIIZIIZI",
"IIIIIIIIIZIIIZ",
"IIZIIZIIIIIIII",
"IIIIZZIIIIIIII",
"IIIIIZIIIIIIZI",
"IIIIIZIIIIIIIZ",
"IIIIIZIIIZIIII",
"IIIZZIIIIIIIII"... | [
0.21666666666666667,
0.2972222222222222,
0.37261904761904757,
0.09722222222222221,
0.11547619047619048,
0.1365079365079365,
0.11666666666666667,
0.08095238095238094,
0.21547619047619046,
0.15714285714285714,
0.013888888888888888,
0.017857142857142856,
0.0734126984126984,
0.0956349206349206... | 0.972516 | [
3.4178588786791346,
0.43749761491133443,
3.0985849039387383,
0.4871643839085897,
-0.05675596065692429,
0.16237173167189792,
2.91305479966253,
-0.028870706143548558,
3.401373866941738,
-0.4763844477205298,
0.6721591986875132,
-0.418317884270077,
3.065047097931193,
0.5598749058439072,
2.89... | {
"n_parameters": 37,
"n_qubits": 14,
"optimal_eigenvalue": -5.728174603174539,
"target_ratio": 0.97,
"target_value": -5.556329365079303
} | 20 |
-7409011384284673023 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4, 5, 6], [0, 2, 3, 6], [0, 1, 2, 5], [0, 2, 5, 6], [1, 2, 3, 4], [0, 3, 5]]} | {"states": [103, 59], "expectation_value": -0.8006077714108104, "params": [[0.3744], [-0.35760000000000003]], "bitstrings": ["0011000", "1000100"], "total_optimization_steps": 40, "probabilities": [0.017133032526235846, 0.0177543776542165], "optimization_time": 2.9921162128448486} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.0833333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.5833333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.416666666666667, "smallest_bitstrings": ["1000100"], "largest_eigenvalue": 5.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.31522124442772337) q[0];
h q[1];
h q[2];
ry(1.2053731436421804) q[2];
h q[3];
ry(1.577877092426052) q[3];
h q[4];
ry(-0.1427619216147341) q[4];
h q[5];
cx q[5], q[0];
ry(0.31522124442772337) q[0];
cx q[5], q[0];
ry(-0.3614657561928799) q[0];
cx q[2], 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;
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];
c... | null | {"circuits": [], "gradients": []} | [
"IIZZIII",
"IZZIIII",
"IZIZIII",
"ZIZIIII",
"ZIIZIII",
"ZZIIIII",
"IIIZIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIZIZII",
"IIIZZII",
"IZIIZII",
"ZIIIZII",
"IIIIZIZ",
"IIZIIZI",
"IIIZIZI",
"IZIIIZI",
"IIIIIZZ",
"IIIIZZI",
"IIZIIII",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIIIIIZ",
"III... | [
0.16666666666666666,
0.08333333333333333,
0.25,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.25,
0.3333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.25,
0.08333333333333333,
0.083333333333333... | 0.976153 | [
1.577877092426052,
1.2053731436421804,
-0.6304424888554467,
0.8003197587441371,
-0.7229315123857598,
0.3497219619980685,
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0.23488465126800329,
-0.2855238432294682,
0.24108851790735464,
-0.5291101100743897,
0.3368859550048586,
-0.34752501170772154,
0.3975588366945409,
... | {
"n_parameters": 33,
"n_qubits": 7,
"optimal_eigenvalue": -1.5833333333333333,
"target_ratio": 0.97,
"target_value": -1.5358333333333332
} | 1 |
e25375c2d0d05abe9c971ec0baf3e172 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 10, "source": 0, "... | {"states": [430, 174], "expectation_value": -20.495423294569086, "params": [[0.0349, -0.0011, 0.0166], [-0.0579, -0.035300000000000005, -0.0434]], "bitstrings": ["001010001", "101010001"], "total_optimization_steps": 10, "probabilities": [0.00692798524512587, 0.008518678585893818], "optimization_time": 11.8626527786254... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(0)) + 4.5 * (Z(6) @ Z(8)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(8)) + 4.5 * (Z(7) @ Z(6)) + 16.5 * Z(1) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.0, "smallest_bitstrings": ["101010001"], "largest_eigenvalue": 160.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.03647124023203946) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.03647124023203946) q[3];
cx q[1], q[3];
cx q[1], q[2];
rz(0.03647124023203946) q[2];
cx q[1], q[2];
cx q[3], q[2];
rz(0.03647124023203946) q[2];
cx q[3], q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIIZZI",
"IIIIIZZII",
"IIIZIZIII",
"IIIZZIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"ZIZIIIIII",
"IZIIZIIII",
"ZZIIIIIII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"ZIIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
16.5,
5,
19,
0.5,
12,
1.5,
10.5,
18.5,
13.5
] | 0.979 | [
0.03647124023203946,
-1.2602974117383017,
1.3678611630905495,
-1.998558470278126,
1.713335776392386,
-1.121822327648916,
1.0818828836411878,
1.0640927633214456,
-1.94371647612563,
-2.0304218369801186,
1.3305714371003177,
-0.04474952181751145,
-0.25249714443591875,
0.4847442706154663,
0.7... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -89,
"target_ratio": 0.97,
"target_value": -86.33
} | 71 |
ee9fae564075d327b60b5f0c0375771b | 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": [469, 421], "expectation_value": -86.98409355295082, "params": [[[0.0028, -1.1033, 0.009600000000000001, 0.0031000000000000003], [0.9551000000000001, 0.0369, 0.9586, 0.006], [-0.6641, 0.10250000000000001, 0.0073, 0.1062], [0.4572, -0.3719, 0.8798, 0.0044], [-0.7103, -0.6344000000000001, 0.006900000000000001,... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(9) @ Z(1)) + 6.5 * (Z(9) @ Z(5)) + 6.5 * (Z(7) @ Z(9)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(8) @ Z(2)) + 6.5 * (Z(8) @ Z(9)) + 6.5 * (Z(8) @ Z(7)) + 12.5 * Z(1) + -3.5 * Z(0) + 3.0 * Z(3) + 9.0 * Z(2) + 10... | 12 | 10 | 4 | {"smallest_eigenvalues": [-98.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.0, "smallest_bitstrings": ["1001011010"], "largest_eigenvalue": 158.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.16701700843309183) q[0];
rz(-1.017022054501424) q[0];
ry(1.0284960584094684) q[1];
rz(-0.02435259081120173) q[1];
cz q[1], q[0];
ry(-0.16701700843309183) q[0];
rz(-1.0868379611134595) q[0];
ry(1.9635941879573018) q[1];
ry(-0.5840143237804688) q[2];
rz(0.070909448... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x11;
in... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIZIIIZI",
"IIIIIZZIII",
"IIIIZZIIII",
"ZIIIIIIIZI",
"ZIIIZIIIII",
"ZIZIIIIIII",
"IIZZIIIIII",
"IZIIIIIZII",
"ZZIIIIIIII",
"IZZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIIIZIIII",
"ZIIIIIIIII",
"IIZIIIIIII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
12.5,
-3.5,
3,
9,
10.5,
6,
21.5,
14,
-2.5,
9.5
] | 0.973677 | [
-0.16701700843309183,
-1.017022054501424,
1.0284960584094684,
-0.02435259081120173,
-0.5840143237804688,
0.07090944801462402,
0.10198483941294495,
-0.16696136308257395,
-1.1676488999961998,
-0.6990273571458263,
-0.13053907366296222,
0.5271132665091669,
0.057557978405389676,
-0.623311961846... | {
"n_parameters": 109,
"n_qubits": 10,
"optimal_eigenvalue": -98,
"target_ratio": 0.97,
"target_value": -95.06
} | 39 |
-3265844937580489028 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4], [2, 4], [1, 5], [0, 5], [4, 6], [0, 1], [4, 5], [1, 3]]} | {"states": [113, 51], "expectation_value": -2.5764838209444254, "params": null, "bitstrings": ["0001110", "1001100"], "total_optimization_steps": 53, "probabilities": [0.053351653923352504, 0.7672400753192726], "optimization_time": 50.263407468795776} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["0110011", "1001100"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.1906681928533288) q[0];
h q[1];
h q[2];
h q[3];
ry(-0.49953796297429875) q[3];
h q[4];
ry(-0.1906681928533288) q[4];
h q[5];
cx q[5], q[0];
ry(0.1906681928533288) q[0];
cx q[5], q[0];
ry(-0.016066857209356633) q[0];
cx q[1], q[0];
ry(0.016066857209356633) ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[6], 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... | [
"IIZIIZI",
"IIZIZII",
"IZZIIII",
"IZIIIZI",
"IIIIIZZ",
"IZIIIIZ",
"ZIZIIII",
"IIIZIZI",
"IIZIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.972856 | [
-0.3813363857066576,
1.2884274620715592,
-0.032133714418713266,
0.09283517064689825,
1.58327368008774,
1.711108093138398,
-0.9282093301962819,
1.1729171830760086,
-0.9990759259485975,
-0.6440380178700142,
0.32911813239185783,
0.029601176011270144,
0.47204676010027846,
-0.36564206081892,
... | {
"n_parameters": 41,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 28 |
5a12fc3b9ebd59a3b68795f0bd90935e | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [155, 411], "expectation_value": -1.6550561636070371, "params": [1.6024, 0.0064, 2.5014000000000003, 0.0031000000000000003, 1.2810000000000001, 0.0007, 0.1032, 0.0038, 2.5077000000000003, 0.009300000000000001, 2.5086, 0.005, 0.3644, 0.0082, 2.5065, 0.0045000000000000005, 2.1632000000000002, 0.003600000000000... | 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)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(1) @ Z(7)) + 0.125 * (Z(4) @ Z(6)) + 0.... | 18 | 9 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.25, "smallest_bitstrings": ["100001100", "010100001", "100010001", "001100100"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(1.1435948285215511e-07) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(1.1435948285215511e-07) q[1];
cx q[2], q[1];
rz(-0.5698699266786225) q[2];
rx(0.6578008209073697) q[2];
h q[3];
cx q[0], q[3];
rz(1.1435948285215511e-07) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIIZZZIII",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZIZIIII",
"IZIIZIIII",
"IZZIIIIII",
"IIZIZIIZI",
"IZIIZIIZI",
"IZZIIIIZI",
"IZZIZIIII",
"IZZIZIIZI",
"ZIZIIIIII",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.25,
0.125,
0.125,
-0.... | 0.777778 | [
1.1435948285215511e-7,
-0.5698699266786227,
0.8976760148695336,
0.858764150438184,
0.6578008209073697,
-2.2179312215672304e-7,
-0.7323750322594127,
-0.1837825357866761,
-0.09561625248230032,
0.3664649548078836,
2.7031261787381847e-7,
-0.4507353837506744,
1.1904463292135272,
1.1313235119654... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 397 |
3cade3d6b3b996575328de1cf27470ec | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}, {"id": 15}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"sourc... | {"states": [0, 32640], "expectation_value": -41.66702489469397, "params": [[[0.0026000000000000003, 0.004], [0.0027, 0.0007], [0.0027, 0.0], [0.0022, 0.007], [0.0023, 0.0085], [0.0021000000000000003, 0.007500000000000001], [-0.0018000000000000002, 0.007500000000000001], [1.6127, 0.0054], [-0.002, 0.0033], [0.002, 0.009... | -3.0 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -3.0 * (Z(5) @ Z(0)) + -2.5 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(5)) + -3.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + -2.5 * (Z(6) @ Z(1)) + -2.5 ... | 2 | 15 | 1 | {"smallest_eigenvalues": [-45.49999999999964], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.49999999999971, "smallest_bitstrings": ["000000001111111"], "largest_eigenvalue": 40.50000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
rx(0.1813541837607237) q[0];
rz(0.18104824834625569) q[0];
rx(-0.062637818847584) q[1];
rz(0.0003508298054909209) q[1];
rx(-0.062637818847584) q[2];
rz(0.029051068598509755) q[2];
rx(0.02631618315186981) q[3];
rz(-0.2587906271743925) q[3];
rx(-0.012219028871459814) 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[... | {"node": 13} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZIIIZ",
"IIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIZ",
"IIIIIIIZIIZIIII",
"IIIIIIIZIIIIIIZ",
"IIIIIIIZIZIIIII",
"IIIIIIIIIIZIIZI",
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIZIIIZI",
"IIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZ",
"IIIIIIIIZZIIIII",
"IIIIIIIZZIIIIII",
"IIIIIIIIZIIIIZI",
"IIIIIIIIIIZIZII",
"... | [
-3,
0.5,
-3,
-2.5,
-2,
0.5,
0.5,
0.5,
-2.5,
-3,
0.5,
0.5,
0.5,
-2.5,
-2.5,
0.5,
0.5,
0.5,
-2,
0.5,
-2,
0.5,
-2.5,
-3.5,
-2.5,
-3,
0.5,
0.5,
-3.5,
0.5,
1,
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1,
0.5,
-2.5,
-2.5,
0.5,
0.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
... | 0.971586 | [
0.1813541837607237,
0.18104824834625569,
-0.062637818847584,
0.0003508298054909209,
0.029051068598509755,
0.02631618315186981,
-0.2587906271743925,
-0.012219028871459814,
0.02149050725977991,
0.07357194135894833,
0.031200254376277943,
-0.05293341061566445,
2.4865969560842216,
0.13556788549... | {
"n_parameters": 22,
"n_qubits": 15,
"optimal_eigenvalue": -45.49999999999964,
"target_ratio": 0.97,
"target_value": -44.13499999999965
} | 9 |
349470e51b3762ef23fcf6a851dc8e1d | 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": 3, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 6}, {"weight": 17, "source": 0, "target": 4}, {"weight": 14, "source": 1, "tar... | {"states": [246, 236], "expectation_value": -36.69970166829855, "params": [[-0.033800000000000004, -0.0049, 0.0018000000000000002, 0.0001], [0.0772, 0.0718, 0.06520000000000001, 0.048100000000000004]], "bitstrings": ["100001001", "100010011"], "total_optimization_steps": 10, "probabilities": [0.01342598708764121, 0.017... | 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(3) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 178.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-1.187618942044145) q[0];
rz(-pi) q[0];
ry(-1.7599687068313097) q[1];
rz(-pi) q[1];
ry(-2.7040617186935703) q[2];
rz(-pi) q[2];
ry(-0.10990882509845053) q[3];
rz(-pi) q[3];
h q[4];
h q[5];
ry(-10.643298077408872) q[5];
cx q[5], q[2];
ry(3.008064639452315) 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[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZIIIZI",
"IIIZZIIII",
"IIZIIIZII",
"IIZIIZIII",
"IIZZIIIII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIIIZIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
17.5,
6,
19,
16,
15,
3,
20.5,
4,
5.5
] | 0.970937 | [
-13.288635788926834,
16.707700645710162,
11.485587843730611,
-0.9038899663022613,
-10.643298077408872,
-6.01612927890463,
20.480329132293395,
27.318865921395695,
62.90566641834019,
13.936401089901285,
5.513059194653318,
-12.449127416427855,
36.78513038048737,
24.77404810964382,
0.0121719... | {
"n_parameters": 81,
"n_qubits": 9,
"optimal_eigenvalue": -87.5,
"target_ratio": 0.97,
"target_value": -84.875
} | 100 |
-541783646566248221 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], "hyperedges": [[9, 1], [9, 5], [2, 11], [9, 12], [11, 4], [2, 4], [6, 7], [13, 6], [3, 4], [9, 2], [10, 3], [0, 5], [8, 0]]} | {"states": [7523, 7527], "expectation_value": -4.82301756940416, "params": null, "bitstrings": ["10001010011100", "10001010011000"], "total_optimization_steps": 100, "probabilities": [0.23643627101150794, 0.38804887001964844], "optimization_time": 4051.2602260112762} | 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(11) @ Z(2)) + 0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(11)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(13) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(10) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.0 * Z(1) + 0.0 * Z(9) + 0.0... | 9 | 14 | 1 | {"smallest_eigenvalues": [-5.499999999999999, -5.499999999999999], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.499999999999995, "smallest_bitstrings": ["10001010011000", "10001010011000"], "largest_eigenvalue": 6.500000000000022} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
h q[0];
ry(-0.622009040482428) q[0];
h q[1];
ry(0.8127538275649004) q[1];
h q[2];
ry(1.3627385077699488) q[2];
h q[3];
h q[4];
ry(-0.17773874809348617) q[4];
h q[5];
h q[6];
ry(-0.17773874809348617) q[6];
h q[7];
h q[8];
ry(0.6636422876434933) q[8];
h q[9];
ry(-0.17773... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[14] c;\nqubit[14] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\ncry(-1.0342) q[12], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure... | [
"IIIIZIIIIIIIZI",
"IIIIZIIIZIIIII",
"IIIIZIIIIIIZII",
"IIZIIIIIIIIZII",
"IZIIZIIIIIIIII",
"IIIIIIIIIZIZII",
"IIZIIIIIIZIIII",
"IIIIIIZZIIIIII",
"ZIIIIIIZIIIIII",
"IIIIIIIIIZZIII",
"IIIZIIIIIIZIII",
"IIIIIIIIZIIIIZ",
"IIIIIZIIIIIIIZ",
"IIIIIIIIIIIIZI",
"IIIIZIIIIIIIII",
"IIIIIIIIZIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.971085 | [
-0.35547749618697233,
1.3627385077699488,
-0.13861643272003876,
1.447370263544298,
1.56251163791734,
-0.8009637029444134,
-1.244018080964856,
1.3272845752869866,
1.6255076551298009,
1.44611835728182,
-1.5328177720328373,
-0.5323942082786437,
0.4210579221297743,
1.3593084882555158,
-0.783... | {
"n_parameters": 65,
"n_qubits": 14,
"optimal_eigenvalue": -5.499999999999999,
"target_ratio": 0.97,
"target_value": -5.334999999999999
} | 37 |
20a60ed013bc1976376f734be7d8d92c | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}]} | {"states": [173, 165], "expectation_value": -0.05947614293605104, "params": [0.2001, -0.007500000000000001, 0.196, -0.0064, 0.18480000000000002, 0.0044, 0.18000000000000002, -0.0024000000000000002, 0.2021, -0.013000000000000001, 0.2031, -0.007500000000000001, 0.18000000000000002, 0.015600000000000001, 0.1681, 0.0153000... | 0.25 * (Z(0) @ Z(1)) + -0.0015625 * (Z(2) @ Z(0)) + -0.0015625 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0015625 * (Z(4) @ Z(0)) + -0.0015625 * (Z(4) @ Z(2)) + 0.0015625 * (Z(5) @ Z(1)) + -0.0015625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0015625 * (Z(6) @ Z(0)) + 0.0015625 * (Z(6) @ Z(2)) + -0.0015625 * (Z(6) @ Z... | 6 | 8 | 4 | {"smallest_eigenvalues": [-1.00625, -1.00625, -1.00625, -1.00625, -1.00625, -1.00625], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["10100101", "10101010", "01011010", "01010101", "10010110", "01101001"], "largest_eigenvalue": 1.01875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.354728125038139) q[0];
ry(-0.4482118389810244) q[1];
ry(1.1755110513092433) q[2];
ry(0.5002955961412344) q[3];
ry(0.16063370756801337) q[4];
ry(1.5622279807339) q[5];
ry(1.1768090945097947) q[6];
ry(1.5622279807339) q[7];
ry(1.5666955069360808) q[8];
ry(1.5127972... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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... | {"communities_size": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIIIZ",
"IZIIIZII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
0.25,
-0.0015625,
-0.0015625,
0.25,
0.0015625,
-0.0015625,
0.0015625,
-0.0015625,
0.25,
-0.0015625,
0.0015625,
-0.0015625,
-0.0015625,
0.0015625,
-0.0015625,
0.25,
-0.0015624999999999944,
-0.0015624999999999944,
-0.0015624999999999944,
-0.0015624999999999944,
-0.0015624999999... | 0.972165 | [
-0.354728125038139,
-0.4482118389810244,
1.1755110513092433,
0.5002955961412344,
0.16063370756801337,
1.5622279807339,
1.1768090945097947,
1.5666955069360808,
1.5127972230668947,
-0.024986189269166677,
0.48443925419363265,
0.015176939504703403,
-0.07719483818697466,
0.3729730085267119,
0... | {
"n_parameters": 60,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999957,
"target_ratio": 0.97,
"target_value": -19.39999999999996
} | 52 |
b5518f36afa4dbdb0f95543c602afa47 | 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": 3, "source": 0, "target": 1}, {"weight": 1, "source": 2, "target": 3}, {"weight": 18, "source": 2, "target": 6}, {"weight": 17, "source": 2, "targ... | {"states": [117, 110], "expectation_value": -33.983010484832604, "params": [[0.025500000000000002, -0.00030000000000000003, -0.0151], [-0.0889, -0.0787, -0.056100000000000004]], "bitstrings": ["110001010", "110010001"], "total_optimization_steps": 10, "probabilities": [0.007435143356340368, 0.009678949633173381], "opti... | 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-97.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.0, "smallest_bitstrings": ["110010001"], "largest_eigenvalue": 194.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-1.286325205538855) q[0];
ry(0.1953118769536368) q[0];
rz(-2.3052829769044867) q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.04979024122263945) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(0.04979024122263945) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.04979024122263945)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZIZII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
17.5,
0.5,
22.5,
11.5,
21,
21,
11,
9.5,
-7.5
] | 0.970367 | [
0.04979024122263945,
-1.2395641058626865,
1.6072661776984662,
-1.2975643784720312,
0.8841029895329524,
-1.446418733116507,
-1.4355238644249626,
1.3859267980444265,
1.189824641938442,
1.5301831548502773,
0.2543065660981385,
1.5984645142055647,
-1.0908269470905945,
1.456728143422818,
0.875... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -97,
"target_ratio": 0.97,
"target_value": -94.09
} | 65 |
90ed954541db23a75eecb07977c28089 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": ... | {"states": [24, 20], "expectation_value": -4.973756373003075, "params": null, "bitstrings": ["100111", "101011"], "total_optimization_steps": 18, "probabilities": [0.07348093650168183, 0.9007115427574266], "optimization_time": 14.306776762008667} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(3) + ... | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["101011", "100111", "111100"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3009393722060807) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.3009393722060807) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.3009393722060807) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(0.3009393722060807) q[0];
cx q[3], q[0];
c... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\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];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-2,
-1.5,
-1.5,
-1.5,
-1.5
] | 0.807446 | [
0.3009393722060807,
1.2484013044131173,
-0.3798378390662217,
0.4270385845264586,
-0.18410433411884003,
0.15621560101591658,
0.7528483255570873,
0.46142641491757197,
0.9481662270374182,
-0.565569105340614,
-0.3443169043342043,
-0.45828684618528925,
0.6868535447971575,
-0.27349808895761746,
... | {
"n_parameters": 27,
"n_qubits": 12,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 500 |
2c6d895f788675d7b5a17eb0b56c7f21 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "s... | {"states": [215, 1], "expectation_value": -0.603006316439131, "params": [[-0.0275, 0.0722], [0.0568, -0.0529]], "bitstrings": ["100101000", "111111110"], "total_optimization_steps": 10, "probabilities": [0.002665431434620919, 0.0028364365184640177], "optimization_time": 4.066106796264648} | -0.75 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -1.0 * (Z(2) @ Z(3)) + -1.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + 2.5 * (Z(8) @... | 1 | 9 | 2 | {"smallest_eigenvalues": [-14.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 12.75} | 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(4.3629072007041083e-08) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(-1.5707963418346225) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(4.3629072007041083e-08) q[4];
cx q[0], q[4];
h q[5];
cx q[3], q[5];
rz(2.7517660026727992... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIZZIII",
"IIIIZIIIZ",
"IIIZIZIII",
"IIIZIIIIZ",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIZIZII",
"IIIIIIZZI",
"IIZIIZIII",
"IIZIZIIII",
"IIZIIIIZI",
"IIZIIIZII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"ZIIIIIZII",
"IZIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIZIIIII",
"... | [
-0.75,
-0.25,
-0.75,
-0.5,
-0.75,
-0.25,
-1,
-1.25,
-0.75,
-0.5,
-0.5,
-0.5,
-0.75,
2.5,
-0.5,
-0.5,
-1.25,
-2.25,
-0.25,
0.5,
-0.25,
0,
1.25,
-0.25,
1.5,
-0.25
] | 0.54985 | [
4.3629072007041083e-8,
-1.5707963418346225,
2.7517660026727992e-8,
-1.5707964746258296,
1.6390483142239273e-8,
-4.2150383213254934e-8,
-1.074872969603381,
5.2347251263603584e-8,
-7.188886353220329e-8,
6.350576054583836e-8,
1.5707962606345,
-1.4575326280026895
] | {
"n_parameters": 12,
"n_qubits": 9,
"optimal_eigenvalue": -14.25,
"target_ratio": 0.97,
"target_value": -13.8225
} | 317 |
ba516fd0ce7824e6228356c5f232cfab | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [2, 3], "expectation_value": -24.005197879118032, "params": [[[1.4635, 0.0004], [0.5018, 0.0012000000000000001], [0.1864, 0.0012000000000000001], [0.18680000000000002, 0.0041], [0.4857, 0.006900000000000001], [1.6022, 0.0027], [1.6015000000000001, 0.0009000000000000001]]], "bitstrings": ["1111101", "1111100"... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.16804737694979255) q[0];
rz(0.2082288294493435) q[0];
rx(0.15075704403065596) q[1];
rz(0.3081286351501191) q[1];
rx(-0.015577567956415184) q[2];
rz(0.2761028885907031) q[2];
rx(0.051898684280336976) q[3];
rz(0.6464979825533907) q[3];
rx(-0.06236402491160774) 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[7] c;
qubit[7] ... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
2.75,
3,
3,
3,
2.75,
2.75,
3,
3,
-10,
-10,
-10.5,
-10.5,
-10,
-9.5,
-9.5
] | 0.970246 | [
0.16804737694979255,
0.12269839746206923,
0.15075704403065598,
0.3741847015101376,
-0.015577567956415184,
0.3742638042105089,
0.051898684280336976,
0.5257644350645199,
-0.06236402491160774,
0.18361076482660355,
0.4922950906627197,
0.16963751239899966,
0.68348045398206,
0.11277220593759216,... | {
"n_parameters": 79,
"n_qubits": 7,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 6 |
082a088e0d8cf5644bb54063ea0af58e | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [2015, 2013], "expectation_value": -5.435242543123485, "params": [[0.10930000000000001], [-0.10700000000000001]], "bitstrings": ["00000100000", "00000100010"], "total_optimization_steps": 20, "probabilities": [0.0020460073204452, 0.0020908857017042566], "optimization_time": 1.171907663345337} | -2.5 * (Z(0) @ Z(2)) + 1.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(0)) + -2.5 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(3)) + -2.5 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(5)) + -2.5 * (Z(6) @ Z(8)) + 0.5 ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-28.0, -28.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -27.0, "smallest_bitstrings": ["00000111111", "00000100010"], "largest_eigenvalue": 38.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.6443783818664842) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-0.39747829702790893) q[3];
cx q[2], q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(-0.6443783818664842) q[1];
cx q[2], q[1];
rz(-0.6443783818664842) q[3];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[2], ... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIZIZII",
"IIIIIIZIIIZ",
"IIIIIIZZIII",
"IIIIIIZIIZI",
"IIZIIZIIIII",
"IZZIIIIIIII",
"IZIIIZIIIII",
"IIZIZIIIIII",
"IZIIZIIIIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"ZIIIZIIIIII",
"IIZZIIIII... | [
-2.5,
1.5,
-2.5,
-2.5,
1,
-2.5,
-2.5,
1,
-2.5,
-2,
0.5,
1,
0.5,
-2.5,
0.5,
-3,
-2.5,
-2,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-3,
-1.5,
-2,
1,
1.5,
1
] | 0.610488 | [
-0.6443783818664842,
-0.39747829702790893,
-0.236227196898351,
-0.907683423969439,
-0.07000419797907183,
-0.6502925705552637,
-1.610177123055441,
-1.0025220798506207
] | {
"n_parameters": 8,
"n_qubits": 11,
"optimal_eigenvalue": -28,
"target_ratio": 0.97,
"target_value": -27.16
} | 196 |
-4185941427110875677 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 5], [0, 3, 4], [1, 2, 3], [2, 4, 6], [0, 1, 5], [2, 3, 6], [1, 4, 6], [0, 2, 4], [3, 5]]} | {"states": [60, 54], "expectation_value": -2.456755296829903, "params": null, "bitstrings": ["1000011", "1001001"], "total_optimization_steps": 35, "probabilities": [0.06003462222132051, 0.9161252706445804], "optimization_time": 39.09029030799866} | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.3333333333333333 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(3)) +... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.4999999999999996, -2.4999999999999996], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.166666666666667, "smallest_bitstrings": ["0000110", "1001001"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.3161192129353312) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-0.06009521642530251) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[3];
rz(-0.3161192129353312) q[3];
cx q[2], q[3];
cx q[2], q[4];
rz(-0.31611... | 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(1.5592) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIZIZ",
"IZIIZII",
"IZIIIIZ",
"IIIZZII",
"IIIZIIZ",
"IZIZIII",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IIIIZZI",
"IIIIIZZ",
"IZIIIZI",
"IIIZIZI",
"IIZIIZI",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIZIIII",
"IIIIIZI",
"ZII... | [
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.5,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333... | 0.622653 | [
-0.3161192129353312,
-0.06009521642530251,
-0.872922080354584,
-0.5698131942783741,
-0.7377336138622544,
0.7757429685026486
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -2.4999999999999996,
"target_ratio": 0.97,
"target_value": -2.4249999999999994
} | 144 |
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