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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
a2b703670d19247f6071de624d813f7d | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [42, 74], "expectation_value": -4.9965155484111605, "params": null, "bitstrings": ["1010101", "0110101"], "total_optimization_steps": 26, "probabilities": [0.06700896400077552, 0.9297460623247052], "optimization_time": 29.158674955368042} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -2.0 * Z(2) + -1.5 * Z(6) + -1.0 * Z(4) + -1.0 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["0110101", "1010110", "0110011", "1010101"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.13585782355247195) q[0];
rz(0.29864270240676144) q[0];
ry(0.4563168005262513) q[1];
rz(0.38243811920507753) q[1];
cx q[1], q[0];
ry(0.5176341854895177) q[0];
rz(-0.43373726839029036) q[0];
ry(0.7226319683581064) q[1];
rz(0.3157779697635044) q[1];
ry(0.545519599691... | 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[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", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"ZIIIIIZ",
"ZIIIZII",
"IIZIIZI",
"ZIZIIII",
"IZIIZII",
"ZZIIIII",
"IZZIIII",
"IIIZZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIZIIII",
"IZIIIII",
"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,
-2,
-1.5,
-1,
-1,
0
] | 0.970229 | [
0.13585782355247195,
0.29864270240676144,
0.4563168005262513,
0.38243811920507753,
0.545519599691342,
0.19833271922099288,
0.047629893253298736,
-0.6494667888063903,
0.8509917401973556,
0.07690407039138134,
0.3022796071558218,
0.36948672697092555,
-0.07852957412380208,
0.27113912634784293,... | {
"n_parameters": 118,
"n_qubits": 11,
"optimal_eigenvalue": -3.6875,
"target_ratio": 0.97,
"target_value": -3.576875
} | 91 |
fdfbddd83ad5e4b88801b3192987124e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 2... | {"states": [0, 1], "expectation_value": -7.832835630503652, "params": [[[0.0036000000000000003, 0.4863], [0.0049, 0.1658], [0.0024000000000000002, 0.5959], [0.0027, 0.4466], [0.0027, 0.5211], [0.0027, 0.6059], [0.8099000000000001, 0.0037]], [[0.0036000000000000003, 0.0055000000000000005], [-0.0006000000000000001, 0.001... | -0.75 * (Z(0) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(1) @ Z(4)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * Z(4) + -0.25 * Z(0) + -0.75 * Z(5) + 1.0 * Z(6) + 0.75 *... | 1 | 7 | 2 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.75, "smallest_bitstrings": ["1000110", "1111110"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.3200396269150379) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.08926708559789197) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(-0.3200396269150379) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(-0.382786... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IZZIIII",
"IZIIIIZ",
"ZIIIIIZ",
"ZZIIIII",
"IIZIIZI",
"IIIIZZI",
"IIZZIII",
"ZIIZIII",
"IIIZIZI",
"IIIZZII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII"
] | [
-0.75,
-1.5,
-1,
2,
-0.25,
-0.75,
-1,
-0.5,
-0.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.75,
1,
0.75,
-0.25,
0
] | 0.810073 | [
-0.3200396269150379,
0.08926708559789197,
-0.3827861201307439,
0.3471470627240742,
-0.7515704665862538,
-0.3267668593634906,
0.16898582939016338,
-0.7763201657017763,
-0.815770852515257,
-1.535634986606571,
-0.5078065568147562,
-0.15503038467109106,
-0.7855234435767351,
0.5365222126647917,... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -9.75,
"target_ratio": 0.97,
"target_value": -9.4575
} | 448 |
404057c7f12171487b8e4c0dec61ffa3 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capaci... | {"states": [7, 31], "expectation_value": -3.4512643325992425, "params": null, "bitstrings": ["111000", "100000"], "total_optimization_steps": 45, "probabilities": [0.08562209917446545, 0.7253294113483193], "optimization_time": 33.68189358711243} | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -1.25 * (Z(3) @ Z(4)) + -0.5 * Z(2) + -0.25 * Z(0) + -0.25 * Z(5) + 0.25 * Z(1) + 1.0 * Z(4) + -0.25 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(1.5811547544466071) q[0];
h q[0];
rx(1.570796540280365) q[1];
h q[1];
rx(0.8261509600795981) q[2];
h q[2];
rx(1.6265178949297225) q[3];
h q[3];
... | null | {"source": 0, "sink": 5} | {"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(1.57) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"s... | [
"IIIZIZ",
"ZIIIIZ",
"IIIZZI",
"ZIIIZI",
"IZIZII",
"ZZIIII",
"IZZIII",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IZIIII",
"IIZIII"
] | [
-0.25,
0.5,
-0.5,
-0.25,
-0.75,
-0.5,
-1.25,
-0.5,
-0.25,
-0.25,
0.25,
1,
-0.25
] | 0.4375 | [
1.5811547544466071,
1.570796540280365,
0.8261509600795981,
1.6265178949297225,
1.5707964599706954,
-0.8173580564858312,
-0.6918847223325216,
1.570796435113792,
-4.734253203222546e-9,
-1.5027359744877397e-8,
1.570796448929092,
2.485463203679337
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 265 |
2be9598749a54d45ae6c968f3644c50e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "... | {"states": [3, 7], "expectation_value": -1.8517219179083846, "params": null, "bitstrings": ["1100", "1000"], "total_optimization_steps": 14, "probabilities": [0.4257862750449693, 0.4305607452087847], "optimization_time": 6.240332126617432} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) + 0.25 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.0, "smallest_bitstrings": ["1110", "1100", "1000"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.4735206763607496) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.01182672083452973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.01182672083452973) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.4735206763607496) q[3];
cx q[1], q[3]... | null | {"source": 0, "sink": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncry(-1.5158) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh... | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
-0.25,
-0.5,
-0.5,
-0.25,
1,
-0.5,
-0.5,
-0.25,
0.5,
0.25
] | 0.731547 | [
0.4735206763607496,
-0.01182672083452973,
-0.00498214199769815,
-1.582999198203383,
-1.7345000367827936,
1.438980752288773
] | {
"n_parameters": 6,
"n_qubits": 4,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 193 |
30817b6a61eae6109bfdbb2e6204f6e8 | 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": 4, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 8}, {"capacity": 3, "s... | {"states": [153, 185], "expectation_value": -14.016113590738872, "params": null, "bitstrings": ["101100110", "101000110"], "total_optimization_steps": 73, "probabilities": [0.32580704260615906, 0.335061729627356], "optimization_time": 112.83320331573486} | -1.0 * (Z(0) @ Z(2)) + -1.0 * (Z(6) @ Z(2)) + -1.5 * (Z(6) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + 2.75 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(8)) + -1.25 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(6)) + -1.25 * (Z(3) @ Z(7)) + -1.0 * (Z(4) @ Z(6)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(8)) + -1.25 * Z(2) + -0.25 * Z(0) + -4.5 * Z(... | 1 | 9 | 2 | {"smallest_eigenvalues": [-17.0, -17.0, -17.0, -17.0, -17.0, -17.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -14.0, "smallest_bitstrings": ["101110110", "101100110", "101000100", "101000110", "101010100", "101010110"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.6930296194241141) q[0];
h q[1];
ry(0.7825623435142364) q[1];
h q[2];
ry(-1.3860592388482282) q[2];
h q[3];
h q[4];
h q[5];
ry(1.57261848360949) q[5];
ry(-0.5317628050156856) q[6];
rz(-pi) q[6];
rz(-pi) q[7];
ry(-0.03418194375268747) q[7];
h q[8];
cx q[8], ... | 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(-0.7408) 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] = ... | [
"IIIIIIZIZ",
"IIZIIIZII",
"IIZIIIIIZ",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IZIIIIZII",
"IZZIIIIII",
"IZIIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"ZIIZIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IZIIIIIII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII"
] | [
-1,
-1,
-1.5,
-0.5,
2.75,
-0.75,
-1.25,
-0.25,
-1.25,
-1,
-1.25,
-1,
-1.25,
-0.25,
-4.5,
0.5,
0.75,
0.25,
1.25,
1,
2.25
] | 0.964955 | [
-1.0536326399802303,
-1.3860592388482282,
0.029198236402038676,
1.8960357997707717,
-0.4401858692181388,
1.57261848360949,
-0.5690085847745243,
-0.002427722158642418,
-1.6291077484649936,
1.5651246870284727,
0.03936573239828063,
-2.271843555616953,
-3.39068333703899,
1.781336466513601,
0... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 500 |
7e48dccbddaeae66a8b916bae852178d | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [0, 511], "expectation_value": -25.141287626066536, "params": [[[0.0024000000000000002, 1.6113000000000002], [0.002, 0.0019], [0.0019, 0.0021000000000000003], [0.002, 0.002], [0.0029000000000000002, 0.0025], [0.0028, -0.0029000000000000002], [0.0017000000000000001, 0.0024000000000000002], [0.0023, 0.0023], [... | -3.0 * (Z(0) @ Z(3)) + -3.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(5) @ Z(3)) + -3.0 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(4)) + -3.0 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(4)) + -3.0 * (Z(1) @ Z(5)) + -3.0 * (Z(2) @ Z(3)) + 1.0 * (Z(2) @ Z(0)) + 1.0 * (Z(2) @ Z(4)) + -3.0 * (Z(2) @ Z(5)) + -2.... | 15 | 9 | 1 | {"smallest_eigenvalues": [-28.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.5, "smallest_bitstrings": ["000000000"], "largest_eigenvalue": 32.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.007095137801994921) q[0];
ry(-0.027556194581685185) q[1];
ry(0.08347094212007868) q[2];
ry(-0.027556194581685185) q[3];
ry(-0.01638692480587165) q[4];
ry(0.03731162273462635) q[5];
ry(-0.09032077538290612) q[6];
ry(0.15492235244174565) q[7];
ry(0.01280260327633723... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
ry(x0) q[0];
ry(x1... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIZZIII",
"IIIIZIIIZ",
"IIIZIZIII",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIZIIIZI",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIZIIZII",
"IIIIIIZZI",
"ZIZIIIIII",
"ZZIIIIIII",
"IZZIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"... | [
-3,
-3,
-2,
2,
-3,
-3,
-3,
1,
1,
-3,
-3,
1,
1,
-3,
-2,
-1.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
0.5,
-1
] | 0.98374 | [
-0.007095137801994921,
-0.027556194581685185,
0.08347094212007868,
-0.01638692480587165,
0.03731162273462635,
-0.09032077538290612,
0.15492235244174565,
0.012802603276337234,
2.7725555502773904,
0.024853948680406218,
0.005678161403370002,
0.10154347173819007
] | {
"n_parameters": 12,
"n_qubits": 9,
"optimal_eigenvalue": -28.5,
"target_ratio": 0.97,
"target_value": -27.645
} | 13 |
c24dd733315066f7c7da3d578f954d8c | 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": 1}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 2}]} | {"states": [16, 0], "expectation_value": -2.5624333346153882, "params": [-0.0057, -0.0649, -0.0032, 0.08270000000000001, -0.0044, 0.0675, 0.0001, -0.0683, -0.0034000000000000002, -0.07690000000000001, -0.0029000000000000002, 0.08660000000000001, -0.0033, 0.0786, -0.0038, 0.042100000000000005, -0.0026000000000000003, -0... | 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0) @ Z(2) @ Z(4)) + -0.0... | 18 | 5 | 3 | {"smallest_eigenvalues": [-2.5625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5625, "smallest_bitstrings": ["11111"], "largest_eigenvalue": 4.4375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-pi) q[0];
ry(-3.109822845335567) q[0];
h q[1];
ry(-1.5582063124952958) q[1];
rz(-pi) q[2];
ry(-3.109822845335567) q[2];
rz(-pi) q[3];
ry(-3.109822845335567) q[3];
h q[4];
ry(1.469755261649514) q[4];
rz(-pi) q[5];
ry(-3.135276556501939) q[5];
cx q[4], q[5];
ry(-0.107... | 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": []} | [
"IIZIZ",
"IZIIZ",
"ZIIIZ",
"IIIZZ",
"IZZII",
"ZIZII",
"IIZZI",
"ZZIII",
"IZIZI",
"ZIIZI",
"IZZIZ",
"ZIZIZ",
"IIZZZ",
"ZZIIZ",
"IZIZZ",
"ZIIZZ",
"ZZZII",
"IZZZI",
"ZIZZI",
"ZZIZI",
"ZZZIZ",
"IZZZZ",
"ZIZZZ",
"ZZIZZ",
"ZZZZI",
"ZZZZZ",
"IIIIZ",
"IIZII",
"IZIII",... | [
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.5625,
-0.5625,
-0.5625,
-0.5625,
-... | 0.994345 | [
-1.5582063124952958,
1.469755261649514,
0.21471432446647404,
0.2656217467992172,
0.18133959097226313
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
eae8cd3fdd6c48bfe81a3803c36d609c | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 6}, {"capac... | {"states": [115, 371], "expectation_value": -19.264499906293928, "params": [[[0.13570000000000002, -0.4375, 0.0017000000000000001, 0.007], [-0.2479, 0.0873, -0.5229, 0.1626], [0.002, 1.5908, 0.0004, -0.7756000000000001], [-0.0036000000000000003, 0.38320000000000004, -0.008, 0.0031000000000000003], [0.0025, 1.1019, 0.00... | -0.5 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + -1.25 * (Z(7) @ Z(6)) + 3.75 * (Z(9) @ Z(0)) + -1.25 * (Z(9) @ Z(3)) + -0.25 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(7)) + -1.25 * (Z(1)... | 11 | 10 | 3 | {"smallest_eigenvalues": [-23.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.75, "smallest_bitstrings": ["1010001100"], "largest_eigenvalue": 25.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.0533417252704885) q[0];
h q[1];
h q[2];
ry(-1.5705525220907608) q[2];
h q[3];
ry(0.009834971265462386) q[3];
cx q[1], q[3];
ry(-0.009834971265462386) q[3];
cx q[1], q[3];
ry(1.6386812413640512) q[1];
h q[4];
h q[5];
ry(1.4993579325441821) q[5];
h q[6];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIZIIIZII",
"IIIZIIIIIZ",
"IIIZIIZIII",
"IIZIIIIZII",
"IIZIIIIIIZ",
"IIZIIIZIII",
"IIZZIIIIII",
"ZIIIIIIIIZ",
"ZIIIIIZIII",
"ZIIZIIIIII",
"ZIZIIIIIII",
"IIIIIIZIZI",
"IIZIIIIIZI",
"IIIZIZIIII",
"IIZIIZIIII",
"IIIIIZIIZI",
"IZIIIIIZII",
"IZIIIIZIII"... | [
-0.5,
-1.25,
-0.5,
-1.25,
-0.25,
-0.25,
-0.5,
-0.75,
-1.25,
3.75,
-1.25,
-0.25,
-0.5,
-1.25,
-0.25,
-0.25,
-0.5,
-1,
-0.5,
-0.5,
-1.25,
-0.75,
-0.5,
-1.25,
-0.75,
-0.75,
-1,
-0.5,
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-0.5,
-2,
-0.25,
1,
-1.25,
-3.75,
0.5,
0,
0,
2.25,
3... | 0.970244 | [
-1.6484608139549197,
1.4993579325441821,
-1.5705525220907608,
0.106683450540977,
1.8693053555204904,
-0.9702061114407344,
-0.18232672389765608,
-0.16942198089353727,
-0.016225086356709134,
0.019669942530924772,
0.12950681021722085,
0.5464250680885759,
1.4199640218199987,
0.3772353680375361... | {
"n_parameters": 43,
"n_qubits": 10,
"optimal_eigenvalue": -23.75,
"target_ratio": 0.97,
"target_value": -23.037499999999998
} | 81 |
4d778fc08d555f5d794c80ebdd4cf032 | 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": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "s... | {"states": [256, 1], "expectation_value": -14.073440113427013, "params": null, "bitstrings": ["011111111", "111111110"], "total_optimization_steps": 25, "probabilities": [0.16348483599197114, 0.8147018804492054], "optimization_time": 32.56518268585205} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + 2.75 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(6)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.12632010655421677) q[0];
rz(1.8578626502860658) q[0];
rx(-0.000669354581534873) q[1];
rz(2.0703142827695533) q[1];
rx(0.0270665271796058) q[2];
rz(1.7439616172522454) q[2];
rx(0.024827761160138635) q[3];
rz(2.2582094671703317) q[3];
rx(-0.1257776751083039) q[4];
r... | 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];\ncry(-1.5708) q[8], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIZIIII",
"IZIIIIIIZ",
"IZZIIIIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZZIIII",
"IZIZIIIII",
"IIIIIIZZI",
"IIIIZIZII",
"IZIIIIZII",
"ZIIIIIZII",
"IIIIIZZII",
"IIIIIIIZI",
"... | [
-0.75,
-0.5,
-0.75,
-0.5,
-0.5,
-1,
-0.5,
-0.75,
2.75,
-0.75,
-0.25,
-1.5,
-0.25,
-1,
-0.75,
-0.5,
-0.75,
-0.75,
-0.75,
-0.25,
-0.75,
-0.25,
0,
0.5,
0.25,
1.25,
-0.5,
-1,
0.5
] | 0.985832 | [
-0.12632010655421677,
0.28706632349116823,
-0.0006693545815348728,
0.4995179559746564,
0.0270665271796058,
0.17316529045734858,
0.024827761160138635,
0.6874131403754353,
-0.12577767510830393,
0.39459743160431243,
0.06753267216512844,
0.6803025278602091,
0.022585476584377165,
0.343210858297... | {
"n_parameters": 70,
"n_qubits": 9,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 7 |
081a3ef2a02910794db9cb14b9d27e2c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [3, 12], "expectation_value": -0.25664102712614484, "params": [[-0.0815, -0.07740000000000001], [0.0777, 0.07590000000000001]], "bitstrings": ["11100", "10011"], "total_optimization_steps": 10, "probabilities": [0.03936793121977317, 0.039367931219773174], "optimization_time": 1.8123042583465576} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["10101", "01110", "11100", "10011", "01011"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3032958163120794) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(-0.3032958163120794) q[0];
cx q[2], q[0];
rz(0.8552742360724439) q[0];
rx(0.459671657095483) q[0];
h q[3];
h q[4];
cx q[4], q[3];
rz(-0.3032958163120794) q[3];
cx 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[1], q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZIIZ",
"ZIIZI",
"IZZII",
"ZIZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.971835 | [
-0.3032958163120794,
0.8552742360724437,
0.459671657095483,
-0.19969798362318422,
-0.5347021902916858,
0.39881531451821206,
-0.8390846379262727,
0.5552620141921045,
0.31915477986402796,
-0.8857236685748646,
1.4111741889625347,
0.36007566681044045
] | {
"n_parameters": 12,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 49 |
edf882d81ff9cc6dd04b2b372b99a445 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.607674443742947, "params": [[0.0689], [-0.0665]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.005503407353419531, 0.005515901004083517], "optimization_time": 4.625888824462891} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + 1.25 * (Z(7) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(7)) + -1.5 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(7)) + -0.5 * (Z(4)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-11.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 13.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-1.294178110467672) q[0];
h q[1];
ry(0.1383616754257138) q[1];
h q[2];
ry(1.575815943169374) q[2];
h q[3];
h q[4];
ry(0.787907971584687) q[4];
cx q[2], q[4];
ry(-0.787907971584687) q[4];
cx q[2], q[4];
h q[5];
ry(0.8388306177923908) q[5];
cx q[3], q[5];
ry(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IZIIIIIZ",
"ZIIIIIIZ",
"IIZIIIZI",
"ZIZIIIII",
"IZIIIZII",
"ZIIIIZII",
"IZIIZIII",
"IIZIZIII",
"IIIIZZII",
"IIIZIIZI",
"IZIZIIII",
"ZIIZIIII",
"IIZZIIII",
"IIIZIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIIIZII",
"IIIIZIII",
"IIIZIII... | [
-0.25,
-0.75,
1.25,
-1,
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-1.5,
-0.75,
-0.5,
-1.25,
-0.75,
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-0.75,
-0.75,
-0.5,
-1.25,
0,
-0.25,
-1,
-1,
0.5,
1.75,
-1.5,
1.5
] | 0.970238 | [
1.575815943169374,
1.432087070104017,
1.6776612355847815,
0.2767233508514276,
1.12397130943726,
0.7756512232512143,
0.9641730776805216,
-2.588356220935344,
-0.040075839562897835,
0.12549881444488223,
-0.21414780392445198,
0.47502116310819115,
0.5052557870900131,
-0.12045094258741418,
-0.... | {
"n_parameters": 50,
"n_qubits": 8,
"optimal_eigenvalue": -11.25,
"target_ratio": 0.97,
"target_value": -10.9125
} | 221 |
a5be6d683ea810f6d18d0295779133be | 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": 2}, {"source": 1, "target": 3},... | {"states": [511, 255], "expectation_value": -30.59749976225058, "params": [[[-0.0017000000000000001, -0.0027], [0.0023, 0.0022], [-1.5701, 1.5759], [0.0023, 1.5718], [0.0022, -0.002], [-0.0029000000000000002, -0.0026000000000000003], [0.002, -0.0024000000000000002], [-0.0023, -0.002], [-0.002, 0.0018000000000000002], [... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(4)) + -2.5 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(3)) + -2.5 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(3)) + -2.5 * (Z(6) @ Z(5)) + -2.5 * (Z(7) @ Z(4)) + -2.5 * (Z(7) @ Z(3)) + -2.5 * (Z(7) @ Z(5)) + 1.5 * (Z(7) @ Z(6)) + -1.5 * (Z(8) @ Z(9)) + ... | 15 | 11 | 1 | {"smallest_eigenvalues": [-32.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.5, "smallest_bitstrings": ["11100000000"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.04912649203996263) q[0];
ry(-0.019056845656990798) q[1];
ry(-1.5358393001880724) q[2];
ry(-0.019056845656990798) q[3];
ry(-0.0500180249213006) q[4];
ry(-0.08287914738983904) q[5];
ry(0.10852704417976104) q[6];
ry(-0.07627257270267038) q[7];
ry(0.02303884603344547... | 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",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIIIZIZIII",
"IIIIZIZIIII",
"IIIIZIIZIII",
"IIIIZZIIIII",
"IIIZIIZIIII",
"IIIZIIIZIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZ... | [
-2,
-2,
0.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2.5,
1.5,
-1.5,
0.5,
-1.5,
-1.5,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.973397 | [
-0.04912649203996263,
-0.019056845656990798,
-1.5358393001880724,
-0.0500180249213006,
-0.08287914738983904,
0.10852704417976104,
-0.07627257270267038,
0.02303884603344547,
2.6693508657202076,
-0.029911706715588154,
1.6369098535691227,
1.422773347838718,
0.02687035692706667,
0.022864147836... | {
"n_parameters": 17,
"n_qubits": 11,
"optimal_eigenvalue": -32.5,
"target_ratio": 0.97,
"target_value": -31.525
} | 20 |
dc79b1d1506b238352b546bee89b4fcb | 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": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target":... | {"states": [0, 63], "expectation_value": -12.341690326219016, "params": [0.279, 2.4968, 0.06570000000000001, 0.0049, 0.0024000000000000002, 1.2979, -0.002, 0.0077, -0.0028, 1.4698, -0.0024000000000000002, 0.0051, -1.1014000000000002, 1.9701000000000002, -0.1452, 0.0094, -1.1064, 0.7158, 0.3547, 0.0001, -1.1027, 0.6101,... | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(7) @ Z(8)) + -1.5 * Z(2) + 1.0 * Z(0) + -1.0 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6) + ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111000000"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.9016034643812645) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.9016034643812645) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.13489205494289022) q[1];
cx q[0], q[1];
h q[3];
cx q[2], q[3];
rz(0.9016034643812645) q[3];
cx q[2], q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"IIZIZIIII",
"IIZIIZIII",
"IIZZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-2,
-2,
0.5,
-1.5,
-2,
-2,
0.5,
0.5,
-2,
-1,
-1.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.594611 | [
0.9016034643812645,
0.13489205494289022,
0.7834549271124904,
1.688831763196304,
0.03571004735697132,
0.9615814525312743
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 160 |
fadbf4becdcb820e45aa8c382a4bc97a | 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": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target... | {"states": [43606, 43605], "expectation_value": -2.015329281168404, "params": [0.38120000000000004, 0.3937, 0.0132, -0.0149, -1.2205000000000001, -1.1388, 0.29600000000000004, 0.305, 0.3915, 0.3912, 0.0035, -0.0131, 0.3926, 0.3899, -0.0219, 0.0223, 0.012700000000000001, 0.0012000000000000001, 0.38920000000000005, 0.384... | 0.25 * (Z(0) @ Z(1)) + -0.00038265306122448983 * (Z(2) @ Z(0)) + -0.00038265306122448983 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.000510204081632653 * (Z(4) @ Z(0)) + -0.000510204081632653 * (Z(4) @ Z(2)) + -0.000510204081632653 * (Z(5) @ Z(1)) + -0.000510204081632653 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0005... | 13 | 16 | 4 | {"smallest_eigenvalues": [-2.021045918367329], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0210459183672667, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.0075255102038825} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.4961747184936534) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.05002483313547751) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.05002483313547751) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-1.4961747184936534) q[3];
cx q[2], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.00038265306122448983,
-0.00038265306122448983,
0.25,
-0.000510204081632653,
-0.000510204081632653,
-0.000510204081632653,
-0.000510204081632653,
0.25,
-0.000510204081632653,
-0.000510204081632653,
-0.0006058673469387755,
-0.000510204081632653,
-0.000510204081632653,
-0.000605867... | 0.979993 | [
-1.4961747184936534,
0.05002483313547751,
0.013200765158208429,
0.027453488225888736,
0.7712288404806994
] | {
"n_parameters": 5,
"n_qubits": 16,
"optimal_eigenvalue": -2.02104591836732,
"target_ratio": 0.97,
"target_value": -1.9604145408163003
} | 24 |
-7580555022610608366 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 3, 5, 7], [1, 2, 3, 5], [0, 3, 6, 7], [1, 5, 6], [0, 2, 4, 6]]} | {"states": [63, 123], "expectation_value": -0.5674414543088108, "params": [[-0.38380000000000003], [0.3799]], "bitstrings": ["11000000", "10000100"], "total_optimization_steps": 40, "probabilities": [0.008215267309484712, 0.008215267309484712], "optimization_time": 1.81693696975708} | 0.05 * (Z(0) @ Z(1)) + 0.13333333333333333 * (Z(3) @ Z(1)) + 0.13333333333333333 * (Z(3) @ Z(0)) + 0.3 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(0)) + 0.13333333333333333 * (Z(5) @ Z(3)) + 0.05 * (Z(7) @ Z(1)) + 0.13333333333333333 * (Z(7) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(5)) + 0.08333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.2833333333333334, -1.2833333333333334, -1.2833333333333334, -1.2833333333333334], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.2000000000000006, "smallest_bitstrings": ["11000000", "01001001", "10000100", "00001101"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.2527049951120781) q[0];
h q[1];
ry(-2.386810862469583) q[2];
rz(-pi) q[2];
ry(-2.814884592635478) q[3];
rz(-pi) q[3];
h q[4];
ry(-0.11075855986339725) q[4];
h q[5];
ry(-0.2517741608613294) q[5];
cx q[1], q[5];
ry(0.2517741608613294) q[5];
cx q[1], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIZIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIZIIIII",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZZII",
"IIZIIZII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIZIII",
"IZZIIIII",
"ZZIIIIII",
"IZIIIZII",
"IIIZIIIZ",
"IIIZIZII",
"IZIZIII... | [
0.05,
0.13333333333333333,
0.13333333333333333,
0.3,
0.05,
0.13333333333333333,
0.05,
0.13333333333333333,
0.13333333333333333,
0.05,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0... | 0.971709 | [
1.3618009422586328,
1.1086684546951973,
0.2708396222907685,
-0.5035483217226588,
0.6755233313251081,
0.20649958566952564,
-0.4516689737785683,
0.501947760648761,
-0.3484786417492797,
0.5576486365959562,
0.5167317981574604,
-0.5054099902241562,
0.2672525646451948,
-0.33837646195743293,
0.... | {
"n_parameters": 47,
"n_qubits": 8,
"optimal_eigenvalue": -1.2833333333333334,
"target_ratio": 0.97,
"target_value": -1.2448333333333335
} | 2 |
852e5560d0cbc49d98025b68fdf4272e | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": 4, "ta... | {"states": [60, 63], "expectation_value": -9.094160024400622, "params": null, "bitstrings": ["1000011", "1000000"], "total_optimization_steps": 68, "probabilities": [0.10807869726750703, 0.5580762505203761], "optimization_time": 59.737316370010376} | -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + -0.5 * Z(0) | 5 | 7 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-1.494101447852887) q[0];
ry(0.5086774017456035) q[0];
rz(3.074577017533831) q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.0019069714618856985) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.04613534284515919) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.00190697146188569... | null | {"node": 1} | {"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(1.5706) q[3], 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]... | [
"IIIIZZI",
"IIIZZII",
"IIIZIZI",
"IIZIZII",
"IIZIIZI",
"IIZZIII",
"ZZIIIII",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII",
"IIIIIIZ"
] | [
-2,
1,
-2,
-2,
-2,
-2,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.990561 | [
0.0019069714618856985,
-0.04613534284515919,
0.07592510451152013,
1.6260721545847276,
-2.078222462929927,
-1.6081205187644767
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 23 |
6d7e5c7b3f86be8f7eca13c50e6c3de8 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [22, 7], "expectation_value": -1.3675016486983065, "params": [[0.0091, -0.0341, 0.0325], [-0.033100000000000004, 0.0309, -0.0176]], "bitstrings": ["1101001", "1111000"], "total_optimization_steps": 10, "probabilities": [0.0085705306100477, 0.0086915224723428], "optimization_time": 5.95832371711731} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 16 | 7 | 3 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
rz(-1.5707963530338787) q[0];
rx(1.5707962896601955) q[0];
h q[1];
rz(2.6179939068628233) q[1];
rx(1.5707962896601952) q[1];
h q[2];
rz(1.570796224356533) q[2];
rx(1.5707962896601952) q[2];
h q[3];
rz(2.6179939068628233) q[3];
rx(1.5707962896601952) q[3];
h q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
-3.25,
-3.75,
-3.25,
-3.25,
-3,
-2.75,
-2.75
] | 0.84375 | [
9.350486944272168e-10,
1.570796358080628,
-1.5707963530338784,
2.6179939068628233,
1.5707962243565334,
1.5707962896601955
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 161 |
bfcc016c6d32554855d911056b5152b6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 0, ... | {"states": [9, 1], "expectation_value": -2.3757403895644265, "params": [[0.0475, -0.0164, 0.0171, -0.0609], [-0.061900000000000004, -0.0143, -0.0431, 0.028200000000000003]], "bitstrings": ["11110110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.007267292477210824, 0.007925224761011315], "optimizati... | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(6)) + 4.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(2)... | 1 | 8 | 4 | {"smallest_eigenvalues": [-22.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 25.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.3752757109842413) q[0];
rz(-pi) q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.415074937944226) q[5];
ry(-0.43331589186150515) q[6];
rz(-pi) q[6];
h q[7];
ry(1.58887715244145) q[7];
cx q[7], q[6];
ry(0.05190789413979533) q[6];
cx q[7], q[6];
cx q[7], q[0];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZZIIIII",
"IIIIZZII",
"IZIIZIII",
"ZIIIIIIZ",
"ZIIIIZII",
"IZIZIIII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"IIIIZIII",
"ZIIIIII... | [
-0.5,
-0.75,
-1.5,
-1,
-1,
-0.5,
-1,
-1,
-0.25,
-0.5,
-0.5,
-1.5,
4.25,
-1,
-1.75,
-0.75,
1.75,
-0.25,
0,
-1.5,
-5,
-0.25,
3.25,
2
] | 0.971231 | [
-1.085572540793596,
1.58887715244145,
-0.9373400288341168,
-0.10381578827959066,
-0.5163611739530768,
-0.36661780541500905,
-1.415074937944226,
-0.18803730139083544,
-0.3358265592031672,
0.0757377937923358,
-1.7289304795650944,
-1.550591774428836,
-1.498222114092371,
0.04077677087104195,
... | {
"n_parameters": 44,
"n_qubits": 8,
"optimal_eigenvalue": -22.25,
"target_ratio": 0.97,
"target_value": -21.5825
} | 19 |
30e28b56cad01a233ddf0894e9b7eaa8 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "... | {"states": [1370, 1386], "expectation_value": -1.507601982067353, "params": [0.1621, 0.10740000000000001, 0.3921, 0.397, 0.0037, 0.0098, 0.3881, 0.3975, 0.0044, -0.0106, 0.39490000000000003, 0.39590000000000003, 0.7659, 0.7609, 0.3438, 0.3532, 0.3922, 0.40140000000000003, 0.017400000000000002, 0.0128, 0.6599, 0.623, 0.... | 0.25 * (Z(0) @ Z(1)) + -0.0006835937500000001 * (Z(2) @ Z(0)) + -0.0006835937500000001 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0009765625 * (Z(4) @ Z(0)) + -0.0009765625 * (Z(4) @ Z(2)) + -0.0009765625 * (Z(5) @ Z(1)) + -0.0009765625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00087890625 * (Z(6) @ Z(0)) + -0.000683... | 13 | 12 | 4 | {"smallest_eigenvalues": [-1.5167968749999998, -1.5167968749999998], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5070312500000003, "smallest_bitstrings": ["010101101010", "101010010101"], "largest_eigenvalue": 1.5113281250000008} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0007807485922482725) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.0007807485922482725) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.0007807485922482725) q[3];
cx q[0], q[3];
rz(1.5622291020438395) q[0];
rx(1.4230915336570904) ... | 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": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.0006835937500000001,
-0.0006835937500000001,
0.25,
-0.0009765625,
-0.0009765625,
-0.0009765625,
-0.0009765625,
0.25,
0.00087890625,
-0.0006835937500000001,
0.0005859375000000001,
0.00087890625,
-0.0006835937500000001,
0.0005859375000000001,
0.25,
-0.0006835937500000001,
0.... | 0.972429 | [
0.0007807485922482725,
-1.3071662634992012,
1.5622291020438395,
-1.2862359945840747,
-1.0589387496736589,
0.9999795518288292,
-1.3272444682674918,
-1.4806765325928763,
1.2864952173532251,
1.4230915336570904,
0.5883822012299551,
1.5647805208249972,
0.48419941054809135,
1.7953393898312842,
... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 47 |
bce5ca5986693901af184e18507446b4 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 6, "source": 2, ... | {"states": [0, 1], "expectation_value": -12.53229158130028, "params": [-0.0022, 0.1042, 0.0028, -0.2962, 0.0032, 0.31370000000000003, 0.0006000000000000001, 0.31220000000000003, 0.0036000000000000003, 0.31070000000000003, 0.0014, 0.311, 0.3155, -0.07540000000000001, 0.4033, 0.006, 0.0064, 0.2059, 0.0027, -0.29960000000... | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -1.5 * (Z(1) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(5)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(2)) + -1.75 * (Z(6) @ Z(5)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(7) + -0.25 * Z(1) + -0.75 *... | 3 | 8 | 4 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.5, "smallest_bitstrings": ["11111110", "11111100"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.26551759312366496) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.24601808850036722) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.2106820697719629) q[3];
cx q[2], q[3];
h q[4];
cx q[2], q[4];
rz(-0.24601808850036722) q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"ZIIIIIIZ",
"IIIIIZZI",
"IIZIIIZI",
"IIIIZZII",
"IIZIZIII",
"IIIZIZII",
"IIZZIIII",
"IIIZZIII",
"IZIIIZII",
"IZZIIIII",
"IIIIIZII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIZIIIII",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII"
] | [
-0.25,
0.5,
-1.5,
-1.75,
-1,
-1.25,
-1.5,
-1,
-1.5,
-0.5,
-1.75,
0.25,
-0.25,
0.5,
-0.25,
-0.75,
-3.75,
2,
2.25
] | 0.970878 | [
-0.26551759312366496,
0.5443980403728371,
-0.24601808850036722,
-0.2378127075115953,
-0.2106820697719629,
-0.20753145420696298,
0.003614311912416672,
-0.7751099775106872,
-0.3975432926107583,
-0.847716413634907,
-0.4217054509723286,
0.811719888820736,
-1.5077942636527142,
-0.28499579844100... | {
"n_parameters": 52,
"n_qubits": 8,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 157 |
-3581660663551200859 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3, 7], [2, 3, 4, 5, 7], [2, 4, 5, 6], [6, 7], [0, 1, 2, 3, 5, 6], [0, 1, 2, 4, 6]]} | {"states": [109, 237], "expectation_value": -1.493016710884079, "params": [0.8727, 0.22260000000000002, 0.871, 0.0043, 1.0778, -0.0078000000000000005, 1.1718, 0.0198, 1.5656, -0.0018000000000000002, 1.5722, 0.0045000000000000005, 1.8937000000000002, 0.7744000000000001, 1.8980000000000001, 0.7836000000000001, 1.57300000... | 0.16666666666666669 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.11666666666666667 * (Z(3) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(3)) + 0.18333333333333335 * (Z(4) @ Z(2)) + 0.05 * (Z(4) @ Z(0)) + 0.05 * (Z(4) @ Z(3)) + 0.05 * (... | 8 | 8 | 1 | {"smallest_eigenvalues": [-1.6], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5999999999999994, "smallest_bitstrings": ["00010010"], "largest_eigenvalue": 5.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(1.2554665715868739e-08) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(1.2554665715868739e-08) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-9.759767354916478e-09) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(-5.06836628530754) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"IIIZIZII",
"IIIZIIIZ",
"IIIZZIII",
"ZIIZIIII",
"IIZIIZII",
"IIZIIIIZ",
"IIZIZIII",
"ZIZIIIII",
"IIZZIIII",
"IZIIIZII",
"IZIIIIIZ",
"IZIIZIII",
"ZZIIIIII",
"IZIZIIII",
"IZZIIIII",
"IIIIIZZI",
"IIIIIIZ... | [
0.16666666666666669,
0.16666666666666666,
0.11666666666666667,
0.13333333333333333,
0.08333333333333333,
0.13333333333333333,
0.18333333333333335,
0.05,
0.05,
0.05,
0.16666666666666666,
0.03333333333333333,
0.08333333333333334,
0.05,
0.13333333333333333,
0.16666666666666669,
0.083333... | 0.966573 | [
1.2554665715868739e-8,
-9.759767354916478e-9,
-5.383047174839652e-10,
-1.1461286042698217e-8,
-5.06836628530754,
-1.4925082597623397e-8,
7.340038086986612e-8,
9.842674390235146e-9,
-1.5707963964534881,
-1.570796340835728,
1.5707962540953766,
1.5707963409311658,
1.5707963186276215
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -1.6,
"target_ratio": 0.97,
"target_value": -1.552
} | 375 |
a6ea63ce7afda0458cb5e7d5c63027a7 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 1, "source": 1, "target": 6... | {"states": [127, 63], "expectation_value": -1.130467720608935, "params": [[0.061500000000000006, 0.0333, 0.0648], [-0.0649, -0.025400000000000002, -0.0473]], "bitstrings": ["0000000", "1000000"], "total_optimization_steps": 10, "probabilities": [0.013970907471624794, 0.015252365829236133], "optimization_time": 4.423182... | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(6)) + 1.25 * Z(2) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.0017376199511947208) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0017376199511947208) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.20288321499629142) q[4];
cx q[1], q[4];
h q[5];
cx q[2], q[5];
rz(-0.14254887280689... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIIZZI",
"IIZIIZI",
"IZIIZII",
"IZIIIZI",
"IZZIIII",
"ZIIIIIZ",
"ZIIIIZI",
"ZIZIIII",
"ZZIIIII",
"IIIZZII",
"IZIZIII",
"ZIIZIII",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIZIII"
] | [
-0.25,
-0.25,
-0.5,
-0.75,
-0.25,
-0.75,
0.5,
-0.25,
-1,
-1,
-0.5,
-1.75,
-0.25,
1.25,
-0.25,
0.75,
1.25,
-0.5,
-2,
-0.5
] | 0.716399 | [
-0.0017376199511947208,
-0.20288321499629142,
-0.14254887280689885,
0.26610324065355456,
-0.055925380870436796,
-1.4523531504272442,
1.389482031566515,
1.5293789649009613,
-1.4359026134477408,
-1.0918522412024452
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 243 |
-7161176897132511749 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[3, 4, 5], [0, 2, 4], [0, 1, 5]]} | {"states": [54, 45], "expectation_value": -0.41474996102243533, "params": [[0.46], [-0.4434]], "bitstrings": ["001001", "010010"], "total_optimization_steps": 50, "probabilities": [0.03260615466031978, 0.0326061546603198], "optimization_time": 1.5865960121154785} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.0, -1.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.9999999999999999, "smallest_bitstrings": ["100100", "010010"], "largest_eigenvalue": 2.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.3811484881141581) q[3];
cx q[4], q[3];
h q[5];
cx q[4], q[5];
rz(0.3811484881141581) q[5];
cx q[4], q[5];
cx q[3], q[5];
cx q[4], q[0];
rz(0.3811484881141581) q[0];
cx q[4], q[0];
cx q[4], q[2];
rz(0.3811484881... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(x0) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(x0) q[5];
cx q[3], q[5];
cx q[4], q[0];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"IZZIII",
"ZZIIII",
"ZIZIII",
"IZIIIZ",
"ZIIIIZ",
"IZIZII",
"IIIZIZ",
"ZIIIZI",
"IIIIZZ",
"IZIIII",
"IIZIII",
"ZIIIII",
"IIIIIZ",
"IIIZII",
"IIIIZI"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,... | 0.610805 | [
0.3811484881141581,
0.7621349953639417,
-0.7828120976405409
] | {
"n_parameters": 3,
"n_qubits": 6,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 79 |
7913947214077355164 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 3, 5], [0, 1, 2, 4, 7, 10, 11], [10, 3, 4, 5], [11, 6], [9, 5], [8, 4]]} | {"states": [1795, 3324], "expectation_value": -1.7230736799891626, "params": [[[1.5733000000000001, 3.2663], [-1.5681, 1.5735000000000001], [-0.0028, 1.5734000000000001], [-0.0023, 0.0028], [-1.5683, 1.5793000000000001], [-0.0024000000000000002, 1.5674000000000001], [-0.0023, 0.0023], [0.4177, 0.4133], [1.5737, 1.5682]... | 0.16666666666666666 * (Z(10) @ Z(5)) + 0.25 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(10)) + 0.023809523809523808 * (Z(0) @ Z(1)) + 0.023809523809523808 * (Z(4) @ Z(1)) + 0.023809523809523808 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(10)) + 0.08333333333333333 * (Z(6) @ Z(7)) + 0.0... | 15 | 12 | 1 | {"smallest_eigenvalues": [-2.2738095238095246], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.2738095238095237, "smallest_bitstrings": ["001100000011"], "largest_eigenvalue": 4.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.560328492505874) q[0];
ry(-1.6270467317378239) q[1];
ry(-0.02962110501204246) q[2];
ry(-0.011571214307899494) q[3];
ry(-3.7485758742528685) q[4];
ry(-1.5008018335058104) q[5];
ry(-0.011571214307899494) q[6];
ry(0.372755960970253) q[7];
ry(1.7163177951826698) q[8];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIIIIZIIIII",
"IIIIZIZIIIII",
"IZIIZIIIIIII",
"IIIIIIIIIIZZ",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIIZZIIIII",
"IZIIIZIIIIII",
"IIIIZZIIIIII",
"IIIIIZIIIIZI",
"IIIIIZIIIIIZ",
"IIIIIZIZIIII",
"IIZIIIIIIIZI",
"IIZIIIIIIIIZ",
"IIZIIIIZIIII",
"IIZIIZIIIIII",
"IIIIIIZIIZII",
"IIIIZIIII... | [
0.16666666666666666,
0.25,
0.16666666666666666,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.08333333333333333,
0.5,
0.08333333333333333,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523... | 0.821092 | [
1.560328492505874,
-1.6270467317378239,
-0.02962110501204246,
-0.011571214307899494,
-3.7485758742528685,
-1.5008018335058104,
0.372755960970253,
1.7163177951826698,
1.5100126496863868,
-1.5374724782128941,
5.107503262039961,
1.562604972795299,
1.543788645891041,
0.015182834964159848,
3.... | {
"n_parameters": 20,
"n_qubits": 12,
"optimal_eigenvalue": -2.2738095238095246,
"target_ratio": 0.97,
"target_value": -2.205595238095239
} | 500 |
de837449b9b1ac221f958aa18f8b69de | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 6, "target": 7}]} | {"states": [7, 103], "expectation_value": -6.14334453131715, "params": null, "bitstrings": ["1111000", "0011000"], "total_optimization_steps": 33, "probabilities": [0.18747057642908224, 0.5608432457235176], "optimization_time": 18.637831449508667} | -1.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) | 5 | 7 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["0011000"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.20454636169947982) q[0];
rz(2.8152219299414583) q[0];
rx(-0.44697682268564387) q[1];
rz(2.448194288614724) q[1];
rx(-0.06482965352697878) q[2];
rz(1.789633067939329) q[2];
rx(0.07456323353414633) q[3];
rz(2.240230974956189) q[3];
rx(0.08529955402258597) q[4];
rz(2... | null | {"node": 3} | {"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(1.5681) q[6], 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]... | [
"IIIIIZZ",
"IIIZZII",
"IZZIIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIIIZII",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
-1,
0.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5
] | 0.975716 | [
-0.20454636169947982,
1.2444256031465615,
-0.4469768226856438,
0.8773979618198277,
-0.06482965352697877,
0.21883674114443263,
0.07456323353414634,
0.6694346481612925,
0.08529955402258599,
1.0864724324281896,
-1.0194116337343637,
0.9110280395264493,
-0.32884727213360154,
-0.0769953673853635... | {
"n_parameters": 104,
"n_qubits": 7,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 107 |
d2afe27b0de0de0693309013bd4cb7f6 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 5}, {"weight": 15, "source": 1, "target": 4}, {"weight": 11, "source": 1, "target": 3}, {... | {"states": [159, 115], "expectation_value": -31.07311390791784, "params": null, "bitstrings": ["01100000", "10001100"], "total_optimization_steps": 100, "probabilities": [0.13685654008494053, 0.17358932876943156], "optimization_time": 173.05750942230225} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 5.5 * Z(0) + 9.5 * Z(2) + 15.5 * Z(3) + 1.... | 1 | 8 | 3 | {"smallest_eigenvalues": [-60.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.5, "smallest_bitstrings": ["10001100"], "largest_eigenvalue": 127.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.6603319576342586) q[0];
rz(-pi) q[1];
ry(-3.09132270976154) q[1];
h q[2];
ry(-1.59277342892783) q[2];
h q[3];
ry(10.929252278696099) q[3];
h q[4];
rz(-pi) q[5];
ry(-3.0980243226886683) q[5];
rz(-pi) q[6];
ry(-1.4685334302306399) q[6];
cx q[3], q[6];
ry(-0.2... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(8.8595) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIZII",
"IIZIIIZI",
"IIZIZIII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11,
5.5,
9.5,
15.5,
1,
11,
14,
12
] | 0.970121 | [
10.929252278696099,
-0.5854890024487437,
-15.870510362502078,
-2.371832064547635,
3.190282941504731,
0.5296199822347359,
-3.151836567617419,
33.118537899059916,
-1.59277342892783,
1.6603319576342586,
10.629557319388375,
3.048407594216927,
-37.408128681922456,
-0.017677031990097333,
-0.14... | {
"n_parameters": 61,
"n_qubits": 8,
"optimal_eigenvalue": -60.5,
"target_ratio": 0.97,
"target_value": -58.684999999999995
} | 63 |
9915ff93784d747e82bcd9a73a2399e5 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [8, 9], "expectation_value": -1.5815653302237969, "params": [[[0.2847, 0.26330000000000003], [0.8023, 0.0039000000000000003], [0.0029000000000000002, 0.5603], [0.0023, 0.4388], [0.8088000000000001, 0.004]], [[0.28850000000000003, 0.001], [0.8104, 0.0047], [0.0029000000000000002, 0.006], [0.002900000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(4)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + -0.125 * (Z(1) @ Z(4) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(3) @ Z(4) @ Z(2)) + 0.12... | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.625, "smallest_bitstrings": ["10110"], "largest_eigenvalue": 4.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-0.0251969072812812) q[0];
h q[1];
ry(-0.5380823333224228) q[1];
h q[2];
ry(-0.5380823333224228) q[2];
h q[3];
cx q[3], q[1];
ry(0.5380823333224228) q[1];
cx q[3], q[1];
ry(-0.8810269947366784) q[1];
ry(1.3888852652990713) q[3];
h q[4];
cx q[4], q[2];
r... | 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": []} | [
"IIIZZ",
"ZIIIZ",
"IIZZI",
"IZIZI",
"ZIIZI",
"IZZII",
"ZIZII",
"ZZIII",
"IZZZI",
"ZIZZI",
"ZZIZI",
"ZZZII",
"ZZZZI",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.5,
-0.125,
-0.625,
-0.625,
-0.125
] | 0.972771 | [
-1.7357936832727832,
-1.0761646666448457,
0.8318258295933451,
1.3888852652990713,
-0.5583266175622739,
-0.9112528734271876,
0.7301946700289301,
-0.2369592768426538,
0.13507114255148295,
0.06045175738101835,
0.5736330844182135,
0.4348793797484596,
-0.5033799150929571,
-0.6485481651535171,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 14 |
1862786337322034882 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 2, 3], [2, 4], [0, 5], [1, 5]]} | {"states": [56, 54], "expectation_value": -0.551395734409837, "params": [[-0.3597], [0.3682]], "bitstrings": ["000111", "001001"], "total_optimization_steps": 40, "probabilities": [0.0401884959905371, 0.04028906827314596], "optimization_time": 1.9793522357940674} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.125 * Z(1) + 0.125 * Z(0... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.75, -1.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["001001", "000111"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-3.641648904232952e-08) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-3.641648904232952e-08) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-3.641648904232952e-08) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-3.641648904232952e-08) 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;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0,
0
] | 0.857143 | [
-3.641648904232952e-8,
-5.667298801546411e-8,
-1.5707964358951103,
1.5707963206023747,
1.570796346541123
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -1.75,
"target_ratio": 0.97,
"target_value": -1.6975
} | 165 |
a33d8bdcf7e6f27943edb67db9816bff | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 3, "target": 4},... | {"states": [2047, 1535], "expectation_value": -37.79057895987947, "params": [[[-0.0022, 2.698], [1.6637000000000002, 0.0024000000000000002], [0.0022, -0.0025], [-0.0034000000000000002, -0.0024000000000000002], [0.0019, -0.0022], [-0.0029000000000000002, -0.0023], [0.0019, -0.0026000000000000003], [-0.0027, -0.0025], [-... | 0.5 * (Z(1) @ Z(2)) + -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -3.0 * (Z(4) @ Z(5)) + -3.5 * (Z(8) @ Z(5)) + -2.5 * (Z(8) @ Z(4)) + 1.5 * (Z(9) @ Z(5)) + -3.0 * (Z(9) @ Z(4)) + -3.0 * (Z(9) @ Z(8)) + -3.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 1.0 * (Z(6) @ Z(8)) + 1.0 * (Z(6) @ Z(9)) + -3.5... | 15 | 11 | 1 | {"smallest_eigenvalues": [-39.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -38.5, "smallest_bitstrings": ["01000000000"], "largest_eigenvalue": 39.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.06186212785300325) q[1];
cx q[2], q[1];
rz(1.589487080479456) q[1];
rx(1.0314524121411457) q[1];
cx q[2], q[0];
rz(0.8034554290170839) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.8034554290170839) q[3];
cx q[2], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIIIIZIIZ",
"IIIIIZZIIII",
"IIZIIZIIIII",
"IIZIIIZIIII",
"IZIIIZIIIII",
"IZIIIIZIIII",
"IZZIIIIIIII",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IIZIZIIIIII",
"IZIIZIIIIII",
"ZIIIIZIIIII",
"ZIIIIIZIIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"ZIIIZIIII... | [
0.5,
-2,
-2,
0.5,
-3,
-3.5,
-2.5,
1.5,
-3,
-3,
-3,
0.5,
1,
1,
-3.5,
1,
1.5,
-3.5,
-2.5,
1.5,
1,
-3.5,
-3,
-3,
-3,
-2,
-1,
1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.553832 | [
0.06186212785300325,
0.8034554290170839,
0.5953150477262196,
0.5144256647545165,
0.7202635968221551,
0.33340085991479324,
0.27464650609153685,
1.5894870804794559,
1.0314524121411457
] | {
"n_parameters": 9,
"n_qubits": 11,
"optimal_eigenvalue": -39.5,
"target_ratio": 0.97,
"target_value": -38.315
} | 251 |
bf418bbdd12410e98878889c04d4a570 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [26, 58], "expectation_value": -3.1386091648202616, "params": [[[0.021400000000000002, 0.2306], [0.0028, 0.2376], [0.4874, 0.0007], [0.5057, -0.0032], [0.4928, 0.0016], [0.0829, -0.2051], [0.5029, -0.0001], [0.2967, 0.0918]], [[0.0162, 0.23040000000000002], [0.0038, 0.23750000000000002], [0.4933, 0.000300000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + -1.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(6) + -0.5 * Z(5) + 0.0 * Z(7) | 1 | 8 | 4 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["11000101", "11001100"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.08515551871088188) q[0];
rz(0.07884838090041768) q[0];
rx(0.027649907872248358) q[1];
rz(0.24445206455421165) q[1];
rx(0.8081305008189017) q[2];
rz(0.19344464610999879) q[2];
rx(0.4571328622733619) q[3];
rz(-0.050395162258404014) q[3];
rx(0.1014941409015471) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIZI",
"IZIIIIZI",
"IIZIIZII",
"IZZIIIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0
] | 0.976168 | [
-0.08515551871088188,
-0.033825240838522584,
0.027649907872248358,
0.25905870099900297,
0.8081305008189017,
0.28437392816971596,
0.4571328622733619,
-0.029651910892475042,
0.1014941409015471,
-0.36704101639131187,
-0.14463475491672922,
-0.15768665341285526,
0.5841504627763444,
-0.027171107... | {
"n_parameters": 113,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 25 |
5184418930193143865 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 7], [1, 4], [3, 7], [3, 5], [0, 2], [2, 7], [0, 7], [5, 7], [2, 4], [2, 5], [4, 5], [3, 6], [8, 1], [0, 4], [2, 3], [2, 6], [4, 7], [8, 2], [3, 4], [1, 2]]} | {"states": [113, 398], "expectation_value": -0.035817083906740696, "params": [[0.0349], [-0.025900000000000003]], "bitstrings": ["110001110", "001110001"], "total_optimization_steps": 10, "probabilities": [0.0020099572058793584, 0.0020099572058793584], "optimization_time": 4.968799352645874} | 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -3.0, "smallest_bitstrings": ["110101001", "011100010", "001010110", "110101101", "001110001", "100011101", "110001110", "001010010"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[7], q[8];
rz(0.4312972927558613) q[8];
cx q[7], q[8];
cx q[7], q[4];
rz(0.4312972927558613) q[4];
cx q[7], q[4];
cx q[7], q[3];
rz(0.4312972927558613) q[3];
cx q[7], q[3];
cx q[7], q[5];
rz(0.4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[7], q[8];
rz(x0) q[8];
cx q[7], q[8];
cx q[8], q[1];
rz(x0) q[1];
cx q[8], q[1];
cx q[7], q[4];
rz(x0) q[4];
cx q[7], q[4];... | null | {"circuits": [], "gradients": []} | [
"ZZIIIIIII",
"ZIIIIIIZI",
"IZIIZIIII",
"IIIIZIIZI",
"IZIIIZIII",
"IIIIZZIII",
"IZIZIIIII",
"IIIZZIIII",
"IIIZIZIII",
"IZIIIIIIZ",
"IIIIZIIIZ",
"IZIIIIZII",
"ZIIIIIZII",
"IIIIIIZZI",
"IIIIZIZII",
"IIIIIZZII",
"IIIZIIZII",
"IIIIIIZIZ",
"IIZIIZIII",
"IIZIIIZII",
"IZIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.476093 | [
0.4312972927558613,
4.341431270273007e-9,
-0.5909975588689718
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 93 |
9645644fcb46d75a104e4de81b9201a7 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [0, 1], "expectation_value": -3.2806163792031966, "params": [[[-0.0041, 0.32330000000000003], [0.0027, 0.5964], [0.0028, 0.5730000000000001], [0.0031000000000000003, 0.4365], [0.0026000000000000003, 0.5825], [0.6025, -0.0], [0.7993, 0.0026000000000000003]], [[-0.0022, 0.0012000000000000001], [0.0027, 0.00180... | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(6) + 1.0 * Z(3) + -0.75 * Z(1) + -0.75 * Z(4) + 0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.25, "smallest_bitstrings": ["1111110", "1111100", "1010100"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.5968952478819238) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-0.06171327633547268) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(-0.415918497861762) q[1];
cx q[3], q[1];
h q[4];
cx q[2], q[4];
rz(-0.06171327633547268) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"ZIIIIIZ",
"IIIZZII",
"IIIZIZI",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII"
] | [
-0.25,
0.5,
-0.5,
-0.75,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
0.5,
1,
-0.75,
-0.75,
0.5
] | 0.926178 | [
-0.5968952478819238,
0.4526712559046789,
-0.06171327633547268,
-0.415918497861762,
-0.6502010492922798,
-1.6181973367743598,
-0.8278971628393553,
0.9201213440736843,
-0.14848852993025277,
-1.0885472675907426,
-0.6577968816211469,
-1.0712293365854164
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 324 |
32b18bb0432cafe090585caeb4620583 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [11, 43], "expectation_value": -4.608260772702847, "params": [-0.0112, 0.29050000000000004, -0.011600000000000001, 0.1608, 0.6051000000000001, 0.0012000000000000001, 0.4959, 0.0011, 0.6062000000000001, 0.0022, 0.3753, 0.003, 0.6, 0.003, 0.604, 0.00030000000000000003, -0.0137, 0.28650000000000003, -0.01300000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * Z(1) + -1.5 * Z(0) + 0.0 * Z(2) + -1.5 * Z(3) + -... | 4 | 8 | 3 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["11010100"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.2507284277501136) q[0];
rz(2.0845769306189386) q[0];
rx(-0.5479156737463288) q[1];
rz(1.597452411981731) q[1];
rx(1.1880417990519314) q[2];
rz(1.5655781533661965) q[2];
rx(0.11163567493173733) q[3];
rz(1.5696158617335856) q[3];
rx(1.2153160878460392) q[4];
rz(1.69... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIZIII",
"IIZIIIZI",
"IZIIIIZI",
"IZZIIIII",
"IIIZZIII",
"IIZZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"ZIIIIIII",
"IIZIIIII",
"IZIIIIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
0,
-1.5,
-1,
-1,
-0.5,
-0.5
] | 0.972779 | [
-0.2507284277501136,
0.5137806038240419,
-0.5479156737463285,
0.026656085186834638,
1.1880417990519314,
-0.0052181734287000126,
0.11163567493173734,
-0.0011804650613108664,
1.2153160878460392,
0.12762817551617622,
0.4580562019260529,
-0.12399376263650493,
0.7918587491454164,
0.895616831048... | {
"n_parameters": 66,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 24 |
df48455e191cab92443ea964cfd0418f | 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": [190, 186], "expectation_value": -64.13571494676567, "params": [0.3733, -0.0882, 0.9959, -0.0505, 0.3512, -0.3929, 0.9878, -0.0548, 0.7583000000000001, -0.0221, 0.9854, 0.2233, 0.562, 0.34800000000000003, 0.9902000000000001, -0.06330000000000001, 0.3083, 0.3698, 0.38170000000000004, -0.11860000000000001, 0.9... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(2) @ Z(4)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(7)) + 10.5 * Z(1) ... | 4 | 9 | 3 | {"smallest_eigenvalues": [-75.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["101000101"], "largest_eigenvalue": 170.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-1.2115128595881304) q[0];
ry(0.1431340767009819) q[0];
rz(2.009730397373735) q[0];
rz(2.1577927620515487) q[1];
ry(2.7455903523938328) q[1];
rz(-0.30780667874853007) q[1];
rz(1.836895983475845) q[2];
ry(2.876593831010619) q[2];
rz(-1.322216081371056) q[2];
rz(2.0952... | 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",
"IIIIIZIZI",
"IIIIZZIII",
"IIIIIZZII",
"IIIIZIZII",
"IIIZIIZII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZZIIIII",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"IIIIIIZII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
10.5,
-0.5,
18,
17,
10,
12,
13,
15.5,
5
] | 0.970147 | [
-0.07642995674042097,
0.7166444153392112,
1.6580571350157387,
0.23530799718038298,
1.5266585606453487,
0.07050113815219111,
0.348907534459743,
-0.23849033522520596,
1.4903880678763621,
-0.05526282319883039,
-0.4876464230313055,
1.1568700045718048,
-0.03189838445000548,
1.7171339569540005,
... | {
"n_parameters": 34,
"n_qubits": 9,
"optimal_eigenvalue": -58.5,
"target_ratio": 0.97,
"target_value": -56.745
} | 19 |
9f4fad3f8d0f2c66a7d6c3c469d40724 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "ta... | {"states": [0, 3], "expectation_value": -21.02978947754085, "params": [[[0.002, 0.0022], [0.0021000000000000003, 0.0022], [-0.003, 0.0022], [0.002, 0.0023], [0.0022, 0.0022], [0.0026000000000000003, 0.0026000000000000003], [0.002, 1.6008]]], "bitstrings": ["1111111", "1111100"], "total_optimization_steps": 160, "probab... | -2.5 * (Z(0) @ Z(1)) + -3.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -3.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 1.5 * (Z(2) @ Z(4)) + 1.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(2)) + -1.0 * (Z(5) @ Z(6)) + -2.5 * Z(1) + 1.5 * Z(0) + -2.5 * Z(4) + -2.0 * Z(2) + -2.0 * Z(3) + 0.... | 15 | 7 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.012630492009521049) q[0];
ry(-0.018624653248620827) q[1];
ry(-0.0048521525455869595) q[2];
ry(-0.012630492009521049) q[3];
ry(0.01729260560622637) q[4];
ry(-0.05751271527199345) q[5];
ry(-0.012630492009521049) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[7] c;
qubit[7] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
ry(x0) q[3];
ry(x3) q[4];
ry(x4) q[5];
ry(x0) q[6];
cx q[6], q[0];
cx q[5], q[6];... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIZI",
"IIZIIIZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIZII",
"IIIZIZI",
"IIIZIIZ",
"IIZZIII",
"IIIZZII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IZIIIII"
] | [
-2.5,
-3,
-2.5,
-3,
0.5,
1.5,
1.5,
0.5,
-3,
-2.5,
-1,
-2.5,
1.5,
-2.5,
-2,
-2,
0.5,
0.5
] | 0.971306 | [
-0.012630492009521049,
-0.018624653248620827,
-0.0048521525455869595,
0.01729260560622637,
-0.05751271527199345,
0.0636665707627028,
1.989051348440766
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -22,
"target_ratio": 0.97,
"target_value": -21.34
} | 13 |
24dd029d08c4f4c30bd0035bbc602db0 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [16, 17], "expectation_value": -2.380195098325927, "params": [[[-0.0027, 0.0037], [-0.0023, 0.006900000000000001], [1.7043000000000001, 0.003], [-0.0022, 0.0081], [1.5195, 0.0008], [-0.0026000000000000003, 0.0037], [1.6149, 0.006900000000000001]]], "bitstrings": ["1101111", "1101110"], "total_optimization_st... | 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(2) @ Z(0)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(2) @ Z(1)) + 0.0625 * (Z(1) @ Z(5)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(2) @ Z(5)) + 0.0625 * (Z(2) @ Z(6... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.3125, -3.3125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.3125, "smallest_bitstrings": ["1101110", "1101011"], "largest_eigenvalue": 5.6875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
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(-0.6842160020691636) q[0];
h q[0];
rx(1.5707962407866807) q[1];
h q[1];
rx(2.6084383219861173e-08) q[2];
h q[2];
rx(-0.41... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} | [
"IIIZZII",
"IIZIZII",
"IIZZIII",
"IIZZZII",
"IIIIIZZ",
"IIIIZIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIIIZZI",
"IZIIIZI",
"ZIIIIZI",
"IZIIZII",
"ZIIIZII",
"ZZIIIII",
"IIIIZZZ",
"IZIIIZZ",
"ZIIIIZZ",
"IZIIZIZ",
"ZIIIZIZ",
"ZZIIIIZ",
"IZIIZZI",
"ZIIIZZI",
"ZZIIIZI",
"ZZIIZII",
"IZI... | [
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.5,
-0.56... | 0.245283 | [
-0.6842160020691636,
1.5707962407866807,
2.6084383219861173e-8,
-0.4133686397029977,
1.36345165497176e-7,
1.5707964047835863,
-0.6200914712120648,
-0.637690696028615,
0.5775369613577384,
-3.961380866809169e-8,
1.5707962657745422,
2.0051918314152446e-7,
0.3790277980716254,
0.506965850450901... | {
"n_parameters": 28,
"n_qubits": 7,
"optimal_eigenvalue": -3.3125,
"target_ratio": 0.97,
"target_value": -3.213125
} | 476 |
-9077057589278498154 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 2, 3, 5], [9, 5], [4, 6, 7], [9, 11, 6], [2, 3, 7, 9, 10, 11], [1, 2, 5, 8, 10, 11], [8, 1, 3, 4], [0, 1], [0, 7, 8, 9, 11], [1, 7], [0, 2, 3, 6, 8, 10], [0, 10, 4], [0, 3, 6, 9, 10], [3, 11, 6, 7]]} | {"states": [3047, 2535], "expectation_value": -2.664035224273609, "params": [[[2.801, 0.0073], [0.781, 0.0039000000000000003], [1.5627, 0.0048000000000000004], [1.5862, 0.0039000000000000003], [2.8032, 0.0059], [2.7936, 0.0041], [2.7892, 0.0076], [0.8348, 0.0012000000000000001], [1.4193, 0.0046], [2.7939000000000003, 0... | 0.11666666666666667 * (Z(1) @ Z(4)) + 0.15 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.11666666666666667 * (Z(7) @ Z(4)) + 0.11666666666666667 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(5)) + 0.03333333333333333 * (Z(11) @ Z(4)) + 0.08333333333333334 * (Z(11) @ Z(5)) + 0.5 * (Z(11) @ Z(7)) + 0.0833... | 1 | 12 | 1 | {"smallest_eigenvalues": [-3.833333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.8, "smallest_bitstrings": ["011000011000"], "largest_eigenvalue": 12.500000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(3.203352940273109) q[0];
rz(-0.13385220773923648) q[0];
rx(0.09721707629108592) q[1];
rz(-0.5425738057843629) q[1];
rx(0.3606307148382486) q[2];
rz(-0.014093483801062706) q[2];
rx(2.556074490259639) q[3];
rz(-0.5425738057843629) q[3];
rx(3.194334898455148) 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": []} | [
"IIIIIIIZIIZI",
"IIIIIIZZIIII",
"IIIIIIZIIIZI",
"IIIIZIIZIIII",
"IIIIZIIIIIZI",
"IIIIZIZIIIII",
"ZIIIIIIZIIII",
"ZIIIIIZIIIII",
"ZIIIZIIIIIII",
"IIIIIZIIIIZI",
"IIIIIZZIIIII",
"IIIZIIIZIIII",
"IIIZIIZIIIII",
"ZIIZIIIIIIII",
"IIIZIZIIIIII",
"IIZIIIIZIIII",
"IIZIIIIIIIZI",
"IIZIIIZII... | [
0.11666666666666667,
0.15,
0.16666666666666666,
0.11666666666666667,
0.11666666666666667,
0.08333333333333333,
0.03333333333333333,
0.08333333333333334,
0.5,
0.08333333333333333,
0.08333333333333333,
0.03333333333333333,
0.16666666666666669,
0.21666666666666667,
0.16666666666666666,
0.... | 0.970394 | [
3.203352940273109,
-0.13385220773923648,
0.09721707629108592,
-0.5425738057843629,
0.3606307148382486,
-0.014093483801062706,
2.556074490259639,
3.194334898455148,
0.8581329952721919,
3.0660626639097908,
0.6123380231792105,
2.6663283546759504,
0.46480519530015857,
0.14983895774094835,
-0... | {
"n_parameters": 22,
"n_qubits": 12,
"optimal_eigenvalue": -3.833333333333333,
"target_ratio": 0.97,
"target_value": -3.718333333333333
} | 17 |
-3315078513891188780 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 4], [2, 7], [1, 4], [0, 7], [4, 6], [5, 6], [1, 5], [4, 7], [3, 4], [3, 5], [0, 3], [8, 0]]} | {"states": [171, 167], "expectation_value": -5.324302290751889, "params": null, "bitstrings": ["101010100", "101011000"], "total_optimization_steps": 79, "probabilities": [0.03382016940217695, 0.8395261221603086], "optimization_time": 115.60720562934875} | 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.0 * Z(4) + 0.0 * Z(8) + 0.0 * Z(7) + 0.0 * Z(2) + 0.0 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["010100111", "101011000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.060118715584261684) q[0];
rz(pi/2) q[0];
ry(1.7211418004699177) q[1];
ry(0.035488805813422356) q[2];
ry(1.724481569637006) q[3];
ry(-0.4982827000848218) q[4];
ry(-0.1116735520904755) q[5];
ry(1.8807345721314717) q[6];
ry(1.266467453060969) q[7];
ry(1.6852833247281... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[8], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... | [
"ZIIIZIIII",
"IZIIZIIII",
"IZIIIIZII",
"IIIIZIIZI",
"ZIIIIIIIZ",
"IZIIIIIIZ",
"IIZIZIIII",
"IIIZIIIZI",
"IIZZIIIII",
"IIIIZZIII",
"IIIIIZIIZ",
"IIIZIZIII",
"IIIIZIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIZIIIII",
"IIIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.977574 | [
-0.060118715584261684,
1.7211418004699177,
0.035488805813422356,
1.724481569637006,
-0.4982827000848218,
-0.1116735520904755,
1.8807345721314717,
1.266467453060969,
1.6852833247281493,
0.335867577745622,
1.4488859137807835,
-0.0010261086178331713,
-0.8740444888091597,
0.03874164749033393,
... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 43 |
404057c7f12171487b8e4c0dec61ffa3 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capaci... | {"states": [7, 31], "expectation_value": -3.4512643325992425, "params": null, "bitstrings": ["111000", "100000"], "total_optimization_steps": 45, "probabilities": [0.08562209917446545, 0.7253294113483193], "optimization_time": 33.36577820777893} | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -1.25 * (Z(3) @ Z(4)) + -0.5 * Z(2) + -0.25 * Z(0) + -0.25 * Z(5) + 0.25 * Z(1) + 1.0 * Z(4) + -0.25 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(1.5811547544466071) q[0];
h q[0];
rx(1.570796540280365) q[1];
h q[1];
rx(0.8261509600795981) q[2];
h q[2];
rx(1.6265178949297225) q[3];
h q[3];
... | null | {"source": 0, "sink": 5} | {"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(1.57) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"s... | [
"IIIZIZ",
"ZIIIIZ",
"IIIZZI",
"ZIIIZI",
"IZIZII",
"ZZIIII",
"IZZIII",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IZIIII",
"IIZIII"
] | [
-0.25,
0.5,
-0.5,
-0.25,
-0.75,
-0.5,
-1.25,
-0.5,
-0.25,
-0.25,
0.25,
1,
-0.25
] | 0.4375 | [
1.5811547544466071,
1.570796540280365,
0.8261509600795981,
1.6265178949297225,
1.5707964599706954,
-0.8173580564858312,
-0.6918847223325216,
1.570796435113792,
-4.734253203222546e-9,
-1.5027359744877397e-8,
1.570796448929092,
2.485463203679337
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 265 |
018b12be912e09a2d77e686d7af8fddd | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [192, 196], "expectation_value": -5.255898859889759, "params": [0.4026, 0.00030000000000000003, 0.38970000000000005, -0.012400000000000001, 0.4006, 0.006200000000000001, 0.36310000000000003, 0.0936, 0.0505, -0.1003, 0.40340000000000004, 0.0008, -0.0058000000000000005, -0.1791, -0.0054, -0.18710000000000002, ... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) ... | 4 | 8 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["11001011", "00111011", "01011011"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.2580964066659912) q[0];
rz(-0.21117170734919855) q[0];
rx(0.2236453342264979) q[1];
rz(0.2899012348046813) q[1];
cx q[1], q[0];
rz(0.15758957852033656) q[0];
cx q[1], q[0];
rz(1.5916246956514293) q[0];
ry(1.2288682688872645) q[0];
rz(-1.8278685929278398) q[0];
rx(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIZIIIZ",
"ZIIIZIII",
"ZIIIIIIZ",
"IIIIZIZI",
"ZIIIIIZI",
"IIIZIZII",
"ZIIIIZII",
"IIIIIZZI",
"IZIZIIII",
"ZZIIIIII",
"IZIIIIZI",
"IZIIIZII",
"IIZZIIII",
"IZZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IZIIIIII",
"IIZIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-2,
-1.5,
-1.5,
-2,
-0.5
] | 0.98231 | [
0.2580964066659912,
-0.05358212882886204,
0.2236453342264979,
0.2899012348046813,
0.246230235902976,
0.02455331958627646,
-0.06226804702075425,
-0.04617255606430069,
-0.004626800328049047,
0.19354287598964473,
0.7557181910742312,
0.11820336222571706,
-0.056529873358492216,
-0.0106806076540... | {
"n_parameters": 112,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 9 |
bd0ac9f3716c814ad09940fdc2eb3528 | 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": [411, 395], "expectation_value": -63.828892190262415, "params": [0.0031000000000000003, 0.0027, 2.6021, 0.009600000000000001, 2.5966, 0.0027, 1.2823, 0.0077, -0.0021000000000000003, 0.0014, 1.5475, 0.008700000000000001, 2.5989, 0.0043, -0.003, 0.0058000000000000005, 2.5989, 0.0094, 2.5974, 0.006, 0.0089, 0.0... | 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(1) @ Z(3)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(0) @ Z(6)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(4) @ Z(9)) + 4.5 * Z(3) + 15.5 * Z(2) + 23.0 * Z(1) + 7.5 * Z(6) + -3.0 * Z(0) + 9.0 * Z(5) + -4.0 * Z(7) + 6.5 *... | 18 | 10 | 1 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["1001110100"], "largest_eigenvalue": 128.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.12883900380622657) q[0];
rz(0.06455196771370453) q[0];
rx(3.214710630495844) q[1];
rz(-0.6415794567225168) q[1];
rx(3.1292333254552576) q[2];
rz(0.1764702194470653) q[2];
rx(0.45866732539874877) q[3];
rz(-0.006774544253960693) q[3];
rx(-0.23151761706535345) 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], \"right_nodes\": [7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZII",
"IIIIIIZIZI",
"IIIIIIIZZI",
"IIIZIIIIIZ",
"IIIIZIIIZI",
"IIIZZIIIII",
"IIZIIIIZII",
"IZIIIIIIZI",
"IZIIZIIIII",
"ZIIIIZIIII",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIZIIIIII",
"IIIIIIIIIZ",
"IIIIZIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII",
"IIIIIZIIII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
4.5,
15.5,
23,
7.5,
-3,
9,
-4,
6.5,
-1,
-3.5
] | 0.97551 | [
-0.12883900380622657,
0.1764702194470653,
3.214710630495844,
-0.6415794567225168,
3.1292333254552576,
0.45866732539874877,
-0.006774544253960693,
-0.23151761706535345,
0.580631471038589,
0.18896176389348512,
0.12929058441346628,
3.343565533347241,
0.26786754830601905,
-0.06577792627387469,... | {
"n_parameters": 28,
"n_qubits": 10,
"optimal_eigenvalue": -87.5,
"target_ratio": 0.97,
"target_value": -84.875
} | 14 |
4620350738221871797 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2, 3], [2, 5, 6], [8, 2, 3, 4], [0, 1, 3], [8, 2, 3, 5], [0, 4, 6, 7], [8, 3, 7], [0, 3, 4, 6], [0, 8, 7], [0, 1, 7], [8, 2, 4, 5], [8, 1], [8, 4, 5, 7], [0, 5], [1, 5], [0, 1, 2, 4], [3, 5, 6], [2, 3, 6, 7]]} | {"states": [190, 250], "expectation_value": -2.4391180432012467, "params": [[-0.3461], [0.35760000000000003]], "bitstrings": ["101000001", "100000101"], "total_optimization_steps": 40, "probabilities": [0.010089446921078007, 0.0109515603860862], "optimization_time": 30.376452207565308} | 0.25 * (Z(1) @ Z(2)) + 0.41666666666666663 * (Z(3) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(2)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.999999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.916666666666667, "smallest_bitstrings": ["100000101"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.5528124118379364) q[0];
h q[1];
h q[2];
ry(1.3416818138141087) q[2];
h q[3];
ry(1.4897540965499438) q[3];
ry(-3.0875961780921313) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[0];
ry(0.5528124118379364) q[0];
cx q[5], q[0];
ry(-0.14935415202951471) q[0];
h q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIZIIZII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZIIIZII",
"IIZIIZIII",
"IIZZIIIII",
"ZIIIIIZII",
"ZIIIIIIZI",
"ZIIIIZIII",
"ZIIZIIIII",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZIZIIII",
"ZIIIZIIII",
"IIIIIIZIZ",
"IIIIIIIZZ",
"... | [
0.25,
0.41666666666666663,
0.3333333333333333,
0.3333333333333333,
0.5,
0.25,
0.25,
0.3333333333333333,
0.3333333333333333,
0.25,
0.5,
0.3333333333333333,
0.25,
0.25,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.25,
0.08333333333333333,
... | 0.973074 | [
1.4897540965499438,
1.5890454721970653,
1.3416818138141087,
-1.1285042424651506,
1.3161205117863315,
-1.1056248236758728,
0.6963760892664109,
-0.5511109910084768,
0.43019858470676753,
-0.27663654924205844,
-0.9366545717541048,
0.4013586790218068,
-0.29870830405902943,
0.3359134691647138,
... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -3.999999999999999,
"target_ratio": 0.97,
"target_value": -3.879999999999999
} | 3 |
16e531ebd5c4fa365456c9500ea8e716 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [70, 7], "expectation_value": -4.443490697852628, "params": [[0.0329, -0.010700000000000001, -0.0683], [-0.047, -0.0402, 0.0521]], "bitstrings": ["0111001", "1111000"], "total_optimization_steps": 10, "probabilities": [0.011435629854753809, 0.011630164917771822], "optimization_time": 8.012932062149048} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 6 | 7 | 3 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.17931700348995208) q[0];
rz(-0.5295651513983046) q[0];
rx(0.1383091762588557) q[1];
rz(-2.4427159179592346) q[1];
rx(0.19192920998953547) q[2];
rz(0.7692060885471252) q[2];
rx(0.010941951037614334) q[3];
rz(1.0249064769628937) q[3];
rx(3.3823159256033737) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.25,
2.25,
2.5,
2.5,
-3.25,
-3.5,
-3.5,
-3.5,
-3,
-2.75,
-3
] | 0.970005 | [
-0.17931700348995208,
-0.5295651513983046,
0.1383091762588557,
-2.4427159179592346,
0.19192920998953547,
0.7692060885471252,
0.010941951037614334,
1.0249064769628937,
3.3823159256033737,
0.76377487209716,
2.7495714135870237,
0.6576922218401471,
3.0317260152509355,
-2.4912281243830905
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 29 |
a580428593ca2a54e0f078f27f8703fa | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 2, "source": 1, ... | {"states": [254, 127], "expectation_value": -1.5916099529792258, "params": [[-0.0429, -0.049, -0.0614], [0.0546, 0.0534, 0.0613]], "bitstrings": ["00000001", "10000000"], "total_optimization_steps": 10, "probabilities": [0.007834549976359633, 0.008421210615717154], "optimization_time": 4.319587230682373} | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(7... | 1 | 8 | 3 | {"smallest_eigenvalues": [-8.25, -8.25, -8.25, -8.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000", "10011010", "10001010", "10000010"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7323893184553074) q[0];
h q[1];
ry(1.6021768552422677) q[1];
h q[2];
ry(0.8045778722749679) q[2];
h q[3];
ry(0.8154121842764465) q[3];
h q[4];
h q[5];
ry(0.8024040181420935) q[5];
cx q[1], q[5];
ry(-0.8024040181420935) q[5];
cx q[1], q[5];
cx q[5], q[3];
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": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"IIIIIZZI",
"IIIIZIZI",
"ZIZIIIII",
"IIZIIIZI",
"IIZIZIII",
"IIIZZIII",
"IZIIZIII",
"IZZIIIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII"
] | [
-0.25,
-0.25,
0.5,
-0.25,
-1,
-0.25,
-0.5,
-1.25,
-1,
-1.25,
-0.5,
-1.25,
0.25,
-0.25,
0,
1.25,
0,
1.5,
0.25,
-3
] | 0.993954 | [
-1.6414614992998269,
1.6021768552422677,
1.604808036284187,
1.630824368552893,
1.6091557445499358,
1.4196572032246375,
-1.4647786369106148,
0.09519838854373029,
-0.21010186821471288,
0.22777370581489204,
-0.0839483296551511,
0.24515748303306414,
-0.07700521961837196
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 1 |
8f0f69e8e4c3be9f2fb2fd4c4be15a57 | 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": 8}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"sour... | {"states": [330, 458], "expectation_value": -5.305538941075214, "params": [[[1.1009, -0.0026000000000000003, 0.0089, 0.0002], [0.1126, -0.45480000000000004, -0.1087, 0.006200000000000001], [1.1025, 0.0009000000000000001, 0.0037, 0.0017000000000000001], [0.0004, -0.6679, -0.0008, 0.008400000000000001], [0.62330000000000... | 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * Z(8) + 0.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(1) + -2.0 * Z(6) + -0.5 * Z(... | 12 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["000101101", "000110101"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.2986102274925921) q[0];
rz(-0.25452924279783423) q[0];
ry(0.03579964743223671) q[1];
rz(-0.31620460632099) q[1];
cz q[1], q[0];
ry(1.6303063292146767) q[0];
rz(-0.26704256382763003) q[0];
ry(-0.058766943233776105) q[1];
ry(1.4487223866481782) q[2];
rz(-0.0214502810... | 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": []} | [
"ZIIIIIIIZ",
"IIIIIZIZI",
"IIZIIIIZI",
"IIIIIZZII",
"IIZIIIZII",
"IIIZIZIII",
"IIZZIIIII",
"IIZIZIIII",
"IIIZZIIII",
"ZZIIIIIII",
"IZZIIIIII",
"ZIIIIIIII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IIZIIIIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"IZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1,
-0.5,
-2,
-0.5,
-1,
-0.5,
-0.5
] | 0.973034 | [
1.2986102274925921,
-0.25452924279783423,
0.03579964743223671,
-0.31620460632099,
1.4487223866481782,
-0.021450281046962102,
0.07123692029572062,
-0.8160813665037191,
0.6534552085194241,
0.0582462166626696,
0.48244317001805714,
-0.11300763273973127,
0.1297212370723162,
-0.01233893750330929... | {
"n_parameters": 49,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 9 |
c0298473ff578e743a7bebe70d7bc35e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [52, 60], "expectation_value": -2.039487825247634, "params": [0.1366, 0.0041, 1.6033000000000002, 0.0077, 1.6071, 0.0057, 1.5938, 0.006200000000000001, 1.6094000000000002, 0.006200000000000001, 1.3291000000000002, 0.0068000000000000005, 0.1359, 0.0044, 0.007, 0.0006000000000000001, 0.0067, 0.0067, 0.00210000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + -0.5 * Z(1) + -1.0 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + -1.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(3) | 3 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["1001001", "1000011"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.381653596326513) q[0];
rz(-1.1527566986494673) q[0];
rx(0.09236593635847296) q[1];
rz(1.013468115485601) q[1];
cx q[1], q[0];
rz(0.33730173307404715) q[0];
cx q[1], q[0];
rx(0.38144026620223603) q[0];
rz(0.06407533935437126) q[0];
rx(0.09236593635847296) q[1];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIIZ",
"IZIIIIZ",
"ZIIIIZI",
"ZZIIIII",
"ZIIIZII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
0,
-1,
-1,
0,
0
] | 0.972467 | [
-0.381653596326513,
-0.8154549655754202,
0.09236593635847296,
1.013468115485601,
0.22169867108911415,
0.4340847686313679,
2.045458072876067,
0.280817696519691,
-0.06357938326517396,
1.2001498857117454,
0.022901920759747618,
1.6472374422907472,
2.094650133142965,
-0.25889317790714383,
-0.... | {
"n_parameters": 29,
"n_qubits": 7,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 32 |
83ee17d45f4b1b4c4df32a71ac5dcbf5 | 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": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 4, "target": 5},... | {"states": [1511, 2023], "expectation_value": -9.416524909586116, "params": [-0.1111, 1.8011000000000001, -0.7367, 0.0055000000000000005, -0.8031, 0.7484000000000001, 0.7196, 0.0002, -0.8614, 0.5810000000000001, 0.5962000000000001, 0.0056, -0.937, 0.8692000000000001, -0.48660000000000003, 0.009600000000000001, -0.9181,... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(5)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(7) @ Z(6)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(10) @ Z(9)) + -1.5 * (Z(10) @ Z(8)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(5) + 0.5 * Z(3) + 0.5 * Z(4) + 1.0 * Z(6) +... | 6 | 11 | 1 | {"smallest_eigenvalues": [-15.5, -15.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.5, "smallest_bitstrings": ["00000000000", "00000011000"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(0.4221473262228334) q[0];
h q[1];
ry(0.00013682948572743005) q[1];
h q[2];
cx q[2], q[0];
ry(-0.4221473262228334) q[0];
cx q[2], q[0];
cx q[0], q[1];
ry(-0.00013682948572743005) q[1];
cx q[0], q[1];
ry(1.5205918504422462) q[0];
ry(0.1400869632096159) q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIIZZ",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIIIZZIII",
"IIIZZIIIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIZIIIII",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIIZIIIIIII",
"IZIIIIIII... | [
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5
] | 0.970371 | [
1.510972863157803,
0.8442946524456668,
1.127883024520171,
2.090448990478521,
0.39816540368245557,
-0.29075381705851094,
0.0002736589714548601,
1.5205918504422462,
-0.8169203021967969,
1.6434525345194626,
-0.04613129651062642,
0.5260015398617965,
0.13947822951482017,
1.777479153001183,
0.... | {
"n_parameters": 50,
"n_qubits": 11,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 267 |
1186103e935f6770b36dcaf31ab8cdf7 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [97, 42], "expectation_value": -1.7768103586547859, "params": [[-0.056400000000000006, -0.028300000000000002, -0.0363, -0.0752], [0.08120000000000001, 0.0533, 0.0379, 0.0631]], "bitstrings": ["0011110", "1010101"], "total_optimization_steps": 10, "probabilities": [0.015070593974222456, 0.015749869337068047],... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(2) + -1.0 * Z(0) + -1.5 *... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["0011101", "0011110", "1010101"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.0085803528727126) q[0];
rz(-0.24026560563952204) q[0];
rx(1.0374082032569305) q[1];
rz(-0.23035514857546602) q[1];
rx(-0.08570401922231015) q[2];
rz(0.296306019900598) q[2];
rx(0.06592108549781109) q[3];
rz(0.611842747993478) q[3];
rx(0.10561376669133431) 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": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IIIIZZI",
"IIZIIZI",
"IZIIZII",
"IZZIIII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-1.5,
-2.5,
-0.5,
-1,
-1
] | 0.971519 | [
1.0085803528727126,
-0.15242536983545654,
1.0374082032569305,
-0.09769714554756243,
-0.08570401922231013,
0.2869825256750739,
0.06592108549781107,
0.7350957423627515,
0.10561376669133432,
0.2569124181689957,
1.0976565644493625,
0.27993659704287666,
0.4217338145392744,
0.7290723505448091,
... | {
"n_parameters": 57,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 18 |
eb345381d3cbaf0ef587b20d1aa30940 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 4}, {"weight": 13, "source": 0, "target": 9}, {"weight":... | {"states": [467, 466], "expectation_value": -73.21183058070983, "params": [0.16160000000000002, -0.1449, 0.1689, -0.1457, 0.3906, -0.0347, 0.3896, -0.027800000000000002, 0.3947, 0.0061, 0.3945, 0.0066, 0.39380000000000004, 0.0068000000000000005, 0.38930000000000003, 0.0019, -0.0154, 0.2033, -0.0097, 0.2061, 0.388, 0.01... | 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(7) @ Z(3)) + 5.5 * (Z(8) @ Z(3)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(2)) + 5.5 * (Z(9) @ Z(5)) + 5.5 * (Z(9) @ Z(8)) + 17.5 * Z(2) + 7.0 * Z(0) + 12.5 * ... | 7 | 10 | 4 | {"smallest_eigenvalues": [-88.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.5, "smallest_bitstrings": ["1000101101"], "largest_eigenvalue": 157.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.008698174596826777) q[0];
rz(-0.26042937975119473) q[0];
rx(0.3719962200793119) q[1];
rz(0.1415482869765161) q[1];
cx q[1], q[0];
rz(0.09136390085049075) q[0];
cx q[1], q[0];
rz(-1.8946183113390642) q[0];
ry(0.006607962420370688) q[0];
rz(1.2181953121175297) q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIIZIIZ",
"IIIIZIIZII",
"IIIIZZIIII",
"IIIZIIIIZI",
"IIZIIIZIII",
"IZIIIIZIII",
"IZZIIIIIII",
"ZIIIIIIZII",
"ZIIIZIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
17.5,
7,
12.5,
12,
11.5,
-2.5,
-0.5,
4.5,
14.5,
9.5
] | 0.971483 | [
0.008698174596826778,
-0.16906547890070409,
0.3719962200793119,
0.1415482869765161,
0.5496837509440605,
0.1451315097205446,
0.17038289245604377,
-0.053567104709830865,
0.35019959212657503,
0.6061503310639966,
0.5196740933767731,
-0.4000859230516229,
0.10887192619733879,
0.28563214757155797... | {
"n_parameters": 179,
"n_qubits": 10,
"optimal_eigenvalue": -88.5,
"target_ratio": 0.97,
"target_value": -85.845
} | 14 |
a3571c19d72a014065614d323aff3379 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]} | {"states": [37, 7], "expectation_value": -6.949732949292838, "params": null, "bitstrings": ["011010", "111000"], "total_optimization_steps": 55, "probabilities": [0.10575607167947162, 0.6067362425290842], "optimization_time": 80.33456444740295} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * ... | 18 | 6 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.362712956693458) q[0];
h q[1];
ry(-0.362712956693458) q[1];
h q[2];
ry(-0.362712956693458) q[2];
h q[3];
cx q[3], q[2];
ry(0.362712956693458) q[2];
cx q[3], q[2];
ry(-0.8545707286531208) q[2];
ry(1.2709249526324335) q[3];
h q[4];
cx q[4], q[0];
ry(0.362712... | 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[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
2,
2,
2,
1.75,
2,
2,
2,
1.75,
2,
2,
-0.75,
-0.5,
-1,
-0.25,
-0.25,
-0.25
] | 0.975572 | [
-0.725425913386916,
1.0706273462922709,
1.3425111777435603,
0.63039906660102,
-0.680705231014584,
-0.40156305610165266,
-0.260757100747384,
0.5178049646920392,
0.4005952126803254,
-0.5439106489094752,
0.08432570462335529,
-0.40927439929699994,
-0.3477309952770732,
0.042917048675201463,
-... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 20 |
3b37ad6154eb4e67d2d2dbbac7bc63c9 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capac... | {"states": [0, 1], "expectation_value": -9.604685652436778, "params": [0.00030000000000000003, -0.17850000000000002, -0.002, -0.2124, -0.0047, -0.192, -0.0015, -0.2187, -0.006200000000000001, -0.1773, -0.0005, -0.21380000000000002, -0.0029000000000000002, -0.2233, -0.0046, -0.2167, 0.0015, -0.1892, -0.0049, -0.2248, -0... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + -0.25 * (Z(9) @ Z(1)) + 2.25 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(2)) + -0.25 * (Z(9) @ ... | 5 | 10 | 3 | {"smallest_eigenvalues": [-10.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 13.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.24651892900338027) q[0];
rz(-0.02611339524679801) q[0];
rx(-0.08720750038353253) q[1];
rz(-0.22837279392176768) q[1];
rx(0.06986892087623345) q[2];
rz(-0.28365813621906444) q[2];
rx(-0.023102080197568476) q[3];
rz(-0.28390828318081596) q[3];
rx(0.00482774705185674... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IZIIIIIIIZ",
"IZIIZIIIII",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"ZIIIZIIIII",
"ZZIIIIIIII",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIZIIIIZI",
"IZIZIIIIII"... | [
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
2.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.75,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
1.5,
-0.25,
-1.25,
-0.5,
-0.75,
-1,
0.75,
0.25,
0,
1.25
] | 0.98196 | [
0.24651892900338024,
0.04962451481698661,
-0.08720750038353253,
-0.2686381492775718,
0.06986892087623346,
-0.3252021172121549,
-0.023102080197568473,
-0.3340835897969235,
0.004827747051856748,
-0.20402837193314885,
-0.00013363742941381249,
-0.14083589967920682,
0.024151235776961523,
-0.227... | {
"n_parameters": 84,
"n_qubits": 10,
"optimal_eigenvalue": -10.75,
"target_ratio": 0.97,
"target_value": -10.4275
} | 9 |
3aa10d162eda3c9ca8f6ec83f6012eb4 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [125, 109], "expectation_value": -56.067389349150254, "params": [0.3501, 0.49810000000000004, 0.9016000000000001, 0.0071, 0.8962, 0.0665, 0.49820000000000003, 0.2041, 0.8968, -0.0006000000000000001, 0.8992, 0.1192, 0.27890000000000004, 0.48700000000000004, 0.9054000000000001, 0.099, 0.3391, 0.410000000000000... | 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(3) @ Z(5)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(6)) + 2.5 * Z(0) + 7.5 * Z(1) + 19.5 * Z(2) + 14.0 * Z(5) + 7.5 * Z(3) + 18.5 * Z(4)... | 18 | 8 | 3 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 135.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(1.5882009390295242e-08) q[1];
cx q[0], q[1];
h q[2];
cx q[0], q[2];
rz(1.5882009390295242e-08) q[2];
cx q[0], q[2];
rz(1.5707962820822257) q[0];
rx(-1.5707963581549211) q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(1.5882009390295242e... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIZIIZII",
"IIIIZZII",
"IIZIZIII",
"IIIZIZII",
"IIZZIIII",
"IIIZZIII",
"IZIZIIII",
"ZIIIIIZI",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
2.5,
7.5,
19.5,
14,
7.5,
18.5,
1.5,
9
] | 0.861111 | [
1.5882009390295242e-8,
1.5707962820822254,
-1.5707964530539718,
1.5707964206048866,
1.5707964072880316,
1.5707964307479403,
-1.5707964795451048,
1.5707964388402988,
-1.5707963581549211,
0.315580327657694,
1.8060170780225875,
-0.7001769025517574,
2.2329584031738667,
2.005324223502904,
1.6... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -72,
"target_ratio": 0.97,
"target_value": -69.84
} | 478 |
bbe36c72142a04c8b1698fed3f77c25c | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 3}, {"weight": 7, "source": 1, "target": 2}, {"weight": 17, "source": 1, "target": 3}, {"weight": 24, "source":... | {"states": [238, 245], "expectation_value": -0.7832578581883213, "params": [[0.0722, 0.0682], [-0.061500000000000006, -0.0538]], "bitstrings": ["100010001", "100001010"], "total_optimization_steps": 10, "probabilities": [0.0029307314142604053, 0.0029307314142604053], "optimization_time": 4.2757110595703125} | 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(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.016228639223514973) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.016228639223514973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.016228639223514973) q[2];
cx q[0], q[2];
rz(-1.196649630207868) q[0];
rx(1.6249956830407981) q[0];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.981439 | [
-0.016228639223514973,
1.522688419965938,
-1.1966496302078677,
1.624995683040798,
-0.8755811242009026,
0.7452257823272057,
0.2393407597375708,
0.22077208961471634
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 31 |
5e7964b8471c661cab4557e1a3bf343c | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2},... | {"states": [1655, 2039], "expectation_value": -17.096212440316254, "params": null, "bitstrings": ["00110001000", "00000001000"], "total_optimization_steps": 100, "probabilities": [0.1272969117813681, 0.41549170695872356], "optimization_time": 209.37435579299927} | -2.5 * (Z(0) @ Z(1)) + -2.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(0)) + 1.0 * (Z(6) @ Z(1)) + -2.5 * (Z(6) @ Z(0)) + 1.0 * (Z(6) @ Z(5)) + -2.5 * (Z(4) @ Z(1)) + 1.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(5)) + -2.5 * (Z(4) @ Z(6)) + -1.5 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + 0.5 * (Z(7) @ Z(10)) + ... | 5 | 11 | 1 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["00000001000"], "largest_eigenvalue": 25.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.03480468106921476) q[0];
ry(0.036896727699507095) q[1];
ry(-0.0634707853782444) q[2];
ry(-0.0634707853782444) q[3];
ry(-0.05949660602164486) q[4];
ry(0.0140253352647125) q[5];
ry(0.03480468106921476) q[6];
ry(2.515807875937143) q[7];
ry(-0.0901549815504677) q[8];
... | null | {"node": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[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[... | [
"IIIIIIIIIZZ",
"IIIIIZIIIZI",
"IIIIIZIIIIZ",
"IIIIZIIIIZI",
"IIIIZIIIIIZ",
"IIIIZZIIIII",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"ZIZIIIIIIII",
"ZIIZIIIIIII",
"IIIIIIIZZII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIZIIIII",
"IIIIZIIII... | [
-2.5,
-2,
-2.5,
1,
-2.5,
1,
-2.5,
1.5,
-2.5,
-2.5,
-1.5,
-2,
0.5,
0.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
0.5,
-1.5,
-1,
0.5,
0.5
] | 0.975015 | [
0.03480468106921476,
0.036896727699507095,
-0.0634707853782444,
-0.05949660602164486,
0.0140253352647125,
2.515807875937143,
-0.0901549815504677,
0.05694379171274434,
0.0414797641657597,
3.0959164722150594,
0.07944490274695049,
-0.1561871629175934,
-0.09681652911578556,
-0.0531752109731497... | {
"n_parameters": 14,
"n_qubits": 11,
"optimal_eigenvalue": -22.5,
"target_ratio": 0.97,
"target_value": -21.825
} | 16 |
-1466805811598543234 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 3, 4, 6, 8], [2, 4, 6, 7, 8], [1, 2, 4, 5], [3, 5], [8, 2, 5, 7], [0, 1, 2, 5, 7], [0, 1, 4, 7], [0, 1, 5, 8, 9]]} | {"states": [831, 319], "expectation_value": -1.3508512902059127, "params": [1.1480000000000001, 0.7253000000000001, 2.0006, -0.5940000000000001, 1.1836, 0.6034, 0.5781000000000001, -0.8977, 1.1395, -0.5894, 1.9861000000000002, -0.0039000000000000003, 1.9879, -0.0022, 1.9861000000000002, -0.0027, 1.9967000000000001, 0.0... | 0.05 * (Z(2) @ Z(3)) + 0.05 * (Z(4) @ Z(3)) + 0.18333333333333335 * (Z(4) @ Z(2)) + 0.05 * (Z(6) @ Z(3)) + 0.1 * (Z(6) @ Z(2)) + 0.1 * (Z(6) @ Z(4)) + 0.05 * (Z(8) @ Z(3)) + 0.18333333333333335 * (Z(8) @ Z(2)) + 0.1 * (Z(8) @ Z(4)) + 0.1 * (Z(8) @ Z(6)) + 0.18333333333333335 * (Z(7) @ Z(2)) + 0.13333333333333333 * (Z(7... | 4 | 10 | 1 | {"smallest_eigenvalues": [-2.0500000000000003, -2.0500000000000003], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.05, "smallest_bitstrings": ["1011000000", "1011000001"], "largest_eigenvalue": 7.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.1853181776569714) q[0];
rz(2.767804928085262) q[0];
rx(2.908392055798027) q[1];
rz(0.9828463751960363) q[1];
rx(-0.013127080044417334) q[2];
rz(1.309685196779025) q[2];
rx(0.17180987671451364) q[3];
rz(-0.05638191744029175) q[3];
rx(2.0538311506198363) q[4];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIZIIZIII",
"IIIZIIIZII",
"IIIZIZIIII",
"IZIIIIZIII",
"IZIIIIIZII",
"IZIIIZIIII",
"IZIZIIIIII",
"IIZIIIIZII",
"IIZIIZIIII",
"IIZZIIIIII",
"IZZIIIIIII",
"IIIIIIIZZI",
"IIIIIZIIZI",
"IZIIIIIIZI",
"IIZIIIIIZI",
"IIIIZIZIII",
"IIIIZIIZII"... | [
0.05,
0.05,
0.18333333333333335,
0.05,
0.1,
0.1,
0.05,
0.18333333333333335,
0.1,
0.1,
0.18333333333333335,
0.13333333333333333,
0.05,
0.13333333333333333,
0.13333333333333333,
0.16666666666666666,
0.05,
0.13333333333333333,
0.5,
0.21666666666666667,
0.08333333333333333,
0.1... | 0.983171 | [
0.1853181776569714,
1.1970086012903653,
2.908392055798027,
-0.5879499515988605,
-0.01312708004441733,
-0.2611111300158717,
0.17180987671451367,
-1.627178244235188,
2.0538311506198363,
-0.0907173154289236,
3.2108983398573265,
-0.7984062992072012,
2.3294255687334497,
0.06083000436557823,
-... | {
"n_parameters": 28,
"n_qubits": 10,
"optimal_eigenvalue": -2.0500000000000003,
"target_ratio": 0.97,
"target_value": -1.9885000000000002
} | 27 |
44db6493095286b918fb0c5bac33de1d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 3, "source": 0, "t... | {"states": [110, 107], "expectation_value": -19.332516796572953, "params": [[0.0393, 0.0055000000000000005], [-0.08710000000000001, -0.0669]], "bitstrings": ["10010001", "10010100"], "total_optimization_steps": 10, "probabilities": [0.013294753361460063, 0.014266701937021538], "optimization_time": 2.989703893661499} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 6.0 * Z(0) + 12.0 * Z(2) + 14.0 * Z(1) + 0.0 * Z(3) + 15... | 1 | 8 | 2 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.5, "smallest_bitstrings": ["10010100"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(1.1114879293616777) q[0];
ry(0.15685993350026523) q[0];
rz(-1.2753559774581484) q[0];
rz(1.6455463798734922) q[1];
ry(0.12439450381357361) q[1];
rz(-2.0806830828243723) q[1];
rz(1.9810033602527488) q[2];
ry(2.948676107721393) q[2];
rz(-1.039626053423473) q[2];
rz(1.6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIZIIIZ",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
6,
12,
14,
0,
15.5,
7.5,
11.5,
15
] | 0.972455 | [
0.40466514957797073,
0.2601706792456252,
0.0888412715111685,
0.2573921016905544,
1.8051101402836665,
0.08347576028210325,
0.030504361917943496,
0.08039412607444499,
1.381450409563023,
-0.1699186896737985,
1.1033417399647076,
0.012564086284400422,
0.18792404571706298,
0.07017314689331701,
... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 19 |
4576a050b5d78ad2d1585e29e03df8f4 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 3}, {"sour... | {"states": [201, 217], "expectation_value": -6.23232673223351, "params": [[0.0022, 0.8602000000000001, 0.8331000000000001, -0.0014, 0.8378, 0.8565, 0.0019, 0.0028, 1.4012], [-0.002, 1.4034, 1.4107, -0.0015, 1.4068, 1.4016, 0.0017000000000000001, 0.0028, 1.3989]], "bitstrings": ["100110110", "100100110"], "total_optimiz... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * Z(4) ... | 10 | 9 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["100100110"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.06053935048501079) q[0];
ry(1.151158999137426) q[1];
ry(0.015762353472760282) q[2];
ry(-0.22843449236667146) q[3];
ry(0.23660096259622793) q[4];
ry(0.3400919785599246) q[5];
ry(-0.31284486405768247) q[6];
ry(0.002754387227696539) q[7];
ry(1.838134648064993) q[8];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IIIZIIIIZ",
"IZIIZIIII",
"IZIIIIIIZ",
"IZIZIIIII",
"ZIIIIIIIZ",
"IZIIIIIZI",
"IIIZIZIII",
"IIIIIZIZI",
"IIIIIZZII",
"IIZIZIIII",
"IZZIIIIII",
"ZIZIIIIII",
"IIZIIZIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIZIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-1,
-2,
-0.5,
-0.5,
-1.5,
0,
-1.5
] | 0.973889 | [
0.06053935048501079,
1.151158999137426,
0.015762353472760282,
-0.22843449236667146,
0.23660096259622793,
0.3400919785599246,
-0.31284486405768247,
0.002754387227696539,
1.838134648064993,
-0.20893711594487793,
1.9880937312290214,
3.0053635274517405,
0.30924224756673907,
2.745533579383897,
... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 18 |
a0d529ca36dd3a1366498490d13dd5e2 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": ... | {"states": [14, 49], "expectation_value": -0.09054373865463788, "params": [[0.0594], [-0.055400000000000005]], "bitstrings": ["110001", "001110"], "total_optimization_steps": 10, "probabilities": [0.01706254752171466, 0.01707242631951903], "optimization_time": 1.6349561214447021} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["001110", "110001", "010011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.08588185594382781) q[0];
cx q[4], q[0];
rz(-0.7796390051316933) q[0];
rx(-0.16223409120890334) q[0];
cx q[4], q[1];
rz(0.08588185594382781) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(0.08588185594382781) q[2];
cx 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;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(x0) q[2]... | null | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"IZIIZI",
"IIIZZI",
"IIZIZI",
"ZZIIII",
"ZIIZII",
"ZIZIII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-1,
-0.5,
-0.5,
-1
] | 0.976001 | [
0.08588185594382781,
-0.8756859798659048,
-0.7796390051316935,
-0.4654146534934242,
-0.16223409120890334,
-0.17378727443252442,
2.489205451114607,
-1.1559017135907852,
1.5966900435185638
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 34 |
-6009607352826141625 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[6, 7], [2, 5, 7], [2, 3, 6], [1, 4, 5], [0, 3, 5], [0, 2], [1, 2, 5], [0, 1, 5, 6], [1, 2, 4, 6], [2, 4, 5], [0, 1, 3, 4], [1, 3, 4, 6], [1, 3, 5, 7]]} | {"states": [117, 118], "expectation_value": -3.398218932447881, "params": null, "bitstrings": ["10001010", "10001001"], "total_optimization_steps": 53, "probabilities": [0.07732710560273481, 0.7861331629248633], "optimization_time": 84.4536395072937} | 0.5 * (Z(6) @ Z(7)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.08333333333333333 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(1) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.416666666666666, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 12.0} | 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];
h q[7];
cx q[7], q[6];
rz(-0.011654196581674249) q[6];
cx q[7], q[6];
cx q[7], q[2];
rz(-0.012808508440692513) q[2];
cx q[7], q[2];
cx q[6], q[2];
rz(0.005747501713076366) q[2];
cx q[6], q[2];
cx q[7], q[5];
rz(0.0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5696) 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[... | [
"ZZIIIIII",
"ZIIIIZII",
"IZIIIZII",
"ZIZIIIII",
"IZZIIIII",
"IIZIIZII",
"ZIIIZIII",
"IZIIZIII",
"IIIIZZII",
"IIZIZIII",
"ZIIIIIZI",
"IZIIIIZI",
"IIIIIZZI",
"IIZIIIZI",
"IIIIZIZI",
"IZIZIIII",
"IIIZIZII",
"IIZZIIII",
"IIIZZIII",
"IIIZIIZI",
"IZIIIIIZ",
"IIIIIZIZ",
"IIZIIII... | [
0.5,
0.16666666666666666,
0.25,
0.25,
0.08333333333333333,
0.5,
0.08333333333333333,
0.25,
0.16666666666666666,
0.25,
0.08333333333333333,
0.25,
0.25,
0.49999999999999994,
0.25,
0.16666666666666666,
0.25,
0.3333333333333333,
0.16666666666666666,
0.41666666666666663,
0.0833333... | 0.970704 | [
-0.011654196581674249,
-0.012808508440692513,
0.005747501713076366,
-0.011790261864431132,
-0.2655053001798946,
0.044078095903494575,
-1.6415664004745163,
1.531164435451494,
-1.5926725468046614,
1.5065375359321385,
-1.5859047148614278,
-1.6609590705517159,
1.4775992447436757,
1.56210896559... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 130 |
373269d392ffd2ce9604500acb279af6 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 8}, {"sour... | {"states": [0, 93], "expectation_value": -2.249003086224343, "params": [0.6055, 0.0066, 0.38770000000000004, 0.0077, 0.19410000000000002, 0.0106, 0.2716, 0.0022, 0.6026, -0.0049, 0.598, 0.0086, 0.6084, 0.0073, 0.5820000000000001, 0.0, 0.604, 0.0007, 0.6022000000000001, 0.0067, 0.6015, -0.0038, 0.5974, 0.0064, 0.6106, -... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + -0.5 * Z(3) + -1.0 * Z(0) + 0.0 * Z(4) + -1.0 * Z(7) + -0.5 * Z(2) + -1.0 * Z(1) + 0.0 * Z(8) + 0.0 * Z(5) + -0.5 * Z(6) | 6 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["111000100", "110000110", "010110010", "110100010"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.18721247472544747) q[0];
rz(1.33595789288713) q[0];
rx(0.45338145075600833) q[1];
rz(1.4345430632235763) q[1];
rx(1.8592596271652584) q[2];
rz(1.4958535212852926) q[2];
rx(0.06220085727591723) q[3];
rz(1.8834652250685338) q[3];
rx(2.4017218244340692) q[4];
rz(1.46... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIZIIIZ",
"IZIIIIIIZ",
"IZIIIIZII",
"IIIIIIZZI",
"ZIIIIIIZI",
"IIIZIIIZI",
"IIZIIZIII",
"IZZIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IZIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"ZIIIIIIII",
"IIIZIIIII",
"IIZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
0,
-1,
-0.5,
-1,
0,
0,
-0.5
] | 0.97886 | [
-0.18721247472544747,
-0.23483843390776568,
0.45338145075600833,
-0.13625326357132006,
1.8592596271652584,
-0.07494280550960372,
0.062200857275917246,
0.31266889827363775,
2.4017218244340692,
-0.10429473324229627,
1.721502384346199,
0.18219491256887993,
0.9764762177737911,
-0.2023113013670... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 97 |
66b128262b8b8ee59605a98d8b63bbdd | 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}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, {"source": 4, "ta... | {"states": [0, 112], "expectation_value": -0.5668478268364773, "params": [[-0.040100000000000004], [0.0424]], "bitstrings": ["1111111", "0001111"], "total_optimization_steps": 10, "probabilities": [0.009390018029768465, 0.009576873106450744], "optimization_time": 1.5354602336883545} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (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) | 5 | 7 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["0001111"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.6741509527557863) q[0];
rz(1.180181324857263) q[0];
rx(-0.677201631943732) q[1];
rz(2.270348142888958) q[1];
rx(-0.67869283016957) q[2];
rz(1.7507597624722813) q[2];
rx(-0.08788335748374992) q[3];
rz(2.254323657422198) q[3];
rx(0.12866765222860715) q[4];
rz(2.61483... | 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[2];
rz(x0)... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IZIZIII",
"ZZIIIII",
"ZIIZIII",
"IZZIIII",
"IIZZIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIIZIII",
"ZIIIIII",
"IIZIIII"
] | [
-1.5,
-1.5,
0.5,
-2.5,
-2.5,
-2.5,
-2.5,
1,
-2.5,
0.5,
0.5,
0.5,
-2,
1.5,
-2,
-1.5
] | 0.973192 | [
0.6741509527557862,
-0.39061500193763365,
-0.6772016319437321,
0.6995518160940616,
-0.67869283016957,
0.17996343567738385,
-0.08788335748374991,
0.6835273306273011,
0.12866765222860718,
1.0440338562475437,
-0.028967045105453143,
0.9676952915365993,
-0.0698180477930957,
1.176882747446405,
... | {
"n_parameters": 63,
"n_qubits": 7,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 36 |
b0dd1050887f092ff1c439d2cb12f6fe | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 5, "source": 1, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [33, 1], "expectation_value": -2.8006469458530567, "params": [[-0.0616, -0.0697, -0.0785], [0.0727, 0.07150000000000001, 0.0748]], "bitstrings": ["11011110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.013499013896624296, 0.018752507538026562], "optimization_time": 4.254591226577759} | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(5) @ Z(0)) + -1.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(1)) + 2.0 * (Z(7) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(5) + -0.25 * Z(6) + 1.5 * ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-12.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 12.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.02787926834651001) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(0.24392621843085915) q[5];
cx q[0], q[5];
h q[6];
cx q[1], q[6];
rz(0.5363659672322102) q[6];
cx q[1], q[6];
cx q[5], q[6];
rz(0.027879268346510... | 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",
"IIZIIIIZ",
"IZIIIIZI",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"IIIIIZZI",
"IIZIZIII",
"IIIIZZII",
"IIIZIIZI",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII"
] | [
-1,
-0.75,
-1.25,
-1,
-0.5,
2,
-0.25,
-0.5,
-0.5,
-1,
-1.5,
-0.5,
-0.25,
-1.25,
-0.25,
1.5,
-0.25,
1.5,
-0.5
] | 0.843743 | [
0.02787926834651001,
0.24392621843085915,
0.5363659672322102,
0.060809672220954014,
-0.33653079246115875,
0.7872732637562534,
2.18834440632333,
-0.751538289689594,
1.563181975540617,
0.06826669057277454,
0.3961428165268017,
1.040659004519177,
0.05826405621687344,
-0.564036277934697,
1.09... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -12.25,
"target_ratio": 0.97,
"target_value": -11.8825
} | 500 |
8179620907328336256 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 7], [0, 7], [0, 4, 6], [0, 8], [5, 6], [4, 5], [8, 3], [2, 6]]} | {"states": [436, 23], "expectation_value": -3.3189052851804655, "params": null, "bitstrings": ["001001011", "111101000"], "total_optimization_steps": 68, "probabilities": [0.03009143874729815, 0.6888869822399127], "optimization_time": 118.80850625038147} | 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(2) @ Z(6)) + 0.0 * Z(7) + 0.0 * Z(1) + 0.16666666666666674 * Z(0)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.833333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.500000000000001, "smallest_bitstrings": ["111101000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[1];
rz(-0.901300290539665) q[1];
cx q[7], q[1];
rz(0.01296861373485747) q[1];
rx(0.775063405957194) q[1];
cx q[7], q[0];
rz(-0.901300290539665) q[0];
cx q[7], q[0];
cx q[0], q[4];
rz(-0.042357156... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... | [
"IZIIIIIZI",
"IZIIIIIIZ",
"IIIIZIIIZ",
"IIZIIIIIZ",
"IIZIZIIII",
"ZIIIIIIIZ",
"IIIZZIIII",
"IIZZIIIII",
"ZIIIIZIII",
"IIZIIIZII",
"IZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIZIIIII",
"IIIIIZIII",
"IIIIIIZII"
] | [
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0.16666666666666674,
0.16666666666666663,
0.16666666666666674,
0,
0,
0,
0
] | 0.514145 | [
-0.901300290539665,
-0.042357156139033,
0.012968613734857413,
0.7750634059571941
] | {
"n_parameters": 4,
"n_qubits": 9,
"optimal_eigenvalue": -3.833333333333333,
"target_ratio": 0.97,
"target_value": -3.718333333333333
} | 110 |
5dad688a93671469362a3d3d00961b05 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 3}]} | {"states": [20, 11], "expectation_value": -0.1975989497323976, "params": [[0.0653, 0.0733], [-0.0538, -0.0632]], "bitstrings": ["01011", "10100"], "total_optimization_steps": 10, "probabilities": [0.03815990060692008, 0.039577481955162516], "optimization_time": 1.719616174697876} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(2) + 0.0 * Z(3) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["10100"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(1.054375204004865) q[0];
ry(1.2513372356561656) q[1];
ry(0.2824769594172304) q[2];
ry(1.4848254273950985) q[3];
ry(1.7704547616171795) q[4];
ry(-0.13250446412763625) q[5];
ry(-0.49590506331342876) q[6];
ry(1.052494121858556) q[7];
ry(0.7429880399328006) q[8];
ry(0.4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"ZIIIZ",
"IIZZI",
"ZIZII",
"IZZII",
"IIIZI",
"IIIIZ",
"ZIIII",
"IIZII",
"IZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-1,
0
] | 0.975061 | [
1.054375204004865,
1.2513372356561656,
0.2824769594172304,
1.4848254273950985,
1.7704547616171795,
-0.13250446412763625,
-0.49590506331342876,
1.052494121858556,
0.7429880399328006,
0.41317392976743855,
2.5434800341621466,
1.571476038864509,
1.6619437044267633,
0.026188563071984666,
1.62... | {
"n_parameters": 45,
"n_qubits": 15,
"optimal_eigenvalue": -8.749999999999972,
"target_ratio": 0.97,
"target_value": -8.487499999999972
} | 53 |
05d49a7fc39b30c4a6fe8fddcf8a0ac0 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [50, 26], "expectation_value": -4.496515538080942, "params": null, "bitstrings": ["1001101", "1100101"], "total_optimization_steps": 26, "probabilities": [0.0670089808696493, 0.9297460398074207], "optimization_time": 23.893061876296997} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + -1.5 * Z(6) + -1.0 * Z(3) + -0.5 * Z(2) + -1.5 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1011100", "0100111", "1100101", "1001101"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.21493813320880895) 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... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIIZIZI",
"ZIIZIII",
"ZIIIZII",
"IZZIIII",
"ZIZIIII",
"IIZZIII",
"IIZIZII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-1.5,
-1,
-0.5,
-1.5
] | 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 |
23ed60bc96758366e843c21e3bc9a3e0 | kclique | adaptive_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": [11, 7], "expectation_value": -22.98302062012748, "params": null, "bitstrings": ["11110100", "11111000"], "total_optimization_steps": 86, "probabilities": [0.11001358301823233, 0.621413230771058], "optimization_time": 200.70044898986816} | 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.... | 12 | 8 | 2 | {"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... | null | {"k": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.7752) q[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... | [
"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 |
6cffe11a862f6465de426e477843dd3a | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [364, 362], "expectation_value": -1.6467840544965038, "params": [[[0.19010000000000002, -0.0246], [0.1491, -0.0641], [0.39880000000000004, 0.3826], [0.4006, 0.3552], [0.1511, 0.2089], [0.4037, 0.39930000000000004], [0.36210000000000003, 0.4011], [0.40740000000000004, 0.4022], [0.3357, 0.39130000000000004]], ... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0... | 15 | 9 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.5, "smallest_bitstrings": ["010110100", "001011010", "100011010", "010011010", "010010110", "010010101", "010010011", "011010010", "000111100", "000111010"], "largest_e... | 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(-0.47617239049210797) q[0];
h q[0];
rx(-1.0298166976998127e-06) 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] 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",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIIZIIIZ",
"IIIZIIIZI",
"IZZIIIIII",
"IIIZIIZII",
"IIZIIIZII",
"ZIIIIIZII",
"IIZZIIIII",
"ZIIZIIIII",
"ZIZIIIIII",
"IIZZIIZII",
"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
-0.125,
-0.125,
0.25,
0.125,
-1,
-0.125,
-0.... | 0.071429 | [
-0.47617239049210797,
-0.0000010298166976998127,
-0.2586279734373631,
1.0728386367444025,
-0.9107582638195201,
-0.030747009456142955,
-0.5126048496934387,
-1.8499753688461737e-7,
-0.17268737191273778,
-0.006768059677663052,
0.6467958319550144,
-1.5707949761418876,
0.45952933031194904,
-0.1... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 468 |
34fec832591d56601cbd146a15fec9ed | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 4}, {"weight": 18, "source": 1, "target": 3}, {"weight": 16, "source": 1, "target": 4}, {... | {"states": [124, 122], "expectation_value": -17.72839098906433, "params": [[0.024900000000000002, 0.0196, -0.0327, -0.054200000000000005], [-0.0349, -0.0577, -0.0246, 0.031200000000000002]], "bitstrings": ["10000011", "10000101"], "total_optimization_steps": 10, "probabilities": [0.010912844412414814, 0.012914756627014... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 13.5 * Z(1) + 10.0 * Z(0) + 17.0 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 142.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.08399526504899095) q[0];
rz(0.2825788937886795) q[0];
rx(0.7951459296419685) q[1];
rz(0.2003437432581271) q[1];
rx(1.0221893354097433) q[2];
rz(-0.3092263127594003) q[2];
rx(1.0231214214866293) q[3];
rz(0.10389188217607151) q[3];
rx(0.970134509765303) q[4];
rz(0.1... | 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\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIZII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
10,
17,
20,
13.5,
5,
5,
6
] | 0.974076 | [
-0.08399526504899095,
0.11179873042160347,
0.7951459296419685,
0.2003437432581271,
1.0221893354097433,
-0.3092263127594003,
1.0231214214866293,
0.10389188217607151,
0.970134509765303,
0.1704895690175754,
0.36114319075678797,
0.4543183591063792,
0.6989834795043587,
-0.038232563756867066,
... | {
"n_parameters": 93,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 9 |
3fb3735639c46bff7d77a855f00e5a0c | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 1... | {"states": [1, 5], "expectation_value": -7.758195827757199, "params": [[[0.003, 1.0471000000000001], [0.0027, 1.1593], [0.0026000000000000003, 0.9490000000000001], [0.0026000000000000003, 1.1833], [0.7941, 0.0009000000000000001], [0.0024000000000000002, 1.1818], [1.5809, -0.0033]], [[0.003, 0.0023], [0.0027, 0.0074], [... | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(6) @ Z(2)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + 0.5 * Z(2) + -0.25 ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1111010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.15656815186826128) q[0];
rz(0.15627741730544642) q[0];
rx(0.07155707979271855) q[1];
rz(0.41889354116436905) q[1];
rx(-0.036854522120223276) q[2];
rz(0.3006228164158884) q[2];
rx(-0.08168454662241761) q[3];
rz(1.026473851281004) q[3];
rx(0.8163706473005876) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IZIIZII",
"IZIIIIZ",
"IIIIZZI",
"IZIIIZI",
"IIIZZII",
"IZIZIII",
"IIIZIZI",
"IIZIZII",
"IIZZIII",
"ZIIIZII",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIZIII",
"IIZIIII",
"ZIIIIII"
] | [
-0.5,
-0.75,
-0.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.25,
1.25,
-0.5,
0.5,
-0.25,
-1.25,
-0.5,
0,
1,
0.5
] | 0.973909 | [
0.15656815186826128,
0.5442420018401137,
0.07155707979271855,
0.902550613450768,
-0.036854522120223276,
0.7986190445176811,
-0.08168454662241761,
0.9231305560999041,
0.8163706473005876,
0.16616318461372137,
0.13465721119367224,
0.8447385901987526,
1.1276480729653369,
-0.17486223285907548,
... | {
"n_parameters": 56,
"n_qubits": 7,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 4 |
1c79f0f3ab411f52384b2206b6163064 | 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": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": ... | {"states": [1023, 1020], "expectation_value": -59.57896360061821, "params": [[[0.0032, 3.1614], [0.0021000000000000003, 0.0019], [0.0019, 0.002], [0.0032, 0.0027], [0.0031000000000000003, -0.003], [0.0021000000000000003, 0.0026000000000000003], [0.0019, 0.002], [0.0024000000000000002, 0.0021000000000000003], [0.0021000... | -4.0 * (Z(0) @ Z(1)) + 1.5 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + -3.5 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(3)) + -4.0 * (Z(5) @ Z(1)) + -3.5 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(3)) + -3.5 * (Z(5) @ Z(4)) + -4.0 * (Z(7) @ Z(1)) + -3.5 * (Z(7) @ Z(0)) + -3.5 * (Z(7) @ Z(3)) + -3.5 * (Z(7) @ Z(4)) + ... | 15 | 10 | 1 | {"smallest_eigenvalues": [-61.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.5, "smallest_bitstrings": ["0000000011"], "largest_eigenvalue": 30.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.021022227861581685) q[0];
h q[1];
h q[2];
ry(0.0667864641421551) q[2];
h q[3];
ry(-0.024666122305707312) q[3];
h q[4];
ry(-0.08171315108077311) q[4];
h q[5];
ry(-0.05801491712267685) q[5];
h q[6];
h q[7];
ry(0.283375467141875) q[7];
cx q[1], q[7];
ry(-0.2... | 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[10] c;
qubit[10] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2]... | {"node": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIZIII",
"IIIIZZIIII",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZIIIZIII",
"IIZIIZIIII",
"IIZIZIIIII",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIZIIZII"... | [
-4,
1.5,
-3,
2,
-3.5,
-3,
-4,
-3.5,
-3.5,
-3.5,
-4,
-3.5,
-3.5,
-3.5,
-3.5,
-3.5,
2,
1.5,
-3.5,
-3.5,
-3.5,
-3,
0.5,
0.5,
0.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.97028 | [
0.56675093428375,
-0.1160298342453537,
-0.04204445572316337,
0.5461482273989519,
-0.5450651156091257,
0.1335729282843102,
-0.2037178637197401,
0.0672720566989615,
0.054858113917488335,
0.13247460476310713,
-0.16342630216154622,
-0.049332244611414625,
0.3139510493102232,
0.12059984160146506... | {
"n_parameters": 92,
"n_qubits": 10,
"optimal_eigenvalue": -61.5,
"target_ratio": 0.97,
"target_value": -59.655
} | 186 |
97aa58ef0b431934bfaa14698e7612e3 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [57, 29], "expectation_value": -4.499899063456086, "params": null, "bitstrings": ["000110", "100010"], "total_optimization_steps": 27, "probabilities": [1.6414457491183143e-05, 0.9999303761353588], "optimization_time": 23.385794639587402} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -2.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.0651359293991675) q[0];
rz(-pi) q[0];
ry(-2.9863728943382646) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-3.0966768290779063) q[2];
h q[3];
ry(1.416522520487516) q[3];
cx q[3], q[0];
ry(0.0756279699701927) q[0];
cx q[3], q[0];
ry(0.07903094769679948) q[3];
ry(-0.0588420... | 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[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"IZZIII",
"IZIZII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-2,
0,
0
] | 0.993396 | [
-1.5356385769847074,
-1.4300324274255363,
1.4790868765185854,
1.416522520487516,
-0.1512559399403854,
-0.0018919058882961165,
0.15806189539359897,
0.27325054957639605,
0.06988879116685,
-0.1176840429531697,
-0.012299817357459168
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
264fb18a8257049cb1d4e81c11f3c8ea | 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": [1619, 1107], "expectation_value": -102.61113845655532, "params": [0.0016, 0.7281000000000001, 1.1992, 0.1534, 0.7977000000000001, 0.303, -0.0025, 0.8957, 0.0028, 0.7709, 1.2014, 0.0207, 0.0032, 0.7756000000000001, 1.2075, 0.2086, 0.0051, 0.8453, 0.5754, 0.5846, 1.2034, 0.3331, 1.2012, 0.0371, 0.0016, 0.0091... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(5) @ Z(2)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(6) @ Z(7)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(9) @ Z(10)) + 8.0 * (Z(11) @ Z(2)) + 8.0 * (Z(11) @ Z(5)) + 8.0 * (Z(11) @ Z(10)) + 8.0 * (Z(11) @ Z(9)) + 6.0 * Z(1) + -6.0 * Z(0) + 10.0 * Z(2) + 16.0 * Z(5) + -7.0 * Z(4) + 6.0... | 16 | 12 | 2 | {"smallest_eigenvalues": [-141.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -128.5, "smallest_bitstrings": ["101110101100"], "largest_eigenvalue": 160.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.2572867346638411) q[0];
rz(1.6558921919423426) q[0];
rx(1.0964496389894118) q[1];
rz(1.4394243932116106) q[1];
rx(0.220250192233188) q[2];
rz(1.5152936362218998) q[2];
rx(0.0470739139592752) q[3];
rz(2.057359438232087) q[3];
rx(0.38066621088908836) q[4];
rz(1.6859... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIZIIZII",
"IIIIIIZZIIII",
"IIIIZZIIIIII",
"IIIZZIIIIIII",
"IZZIIIIIIIII",
"ZIIIIIIIIZII",
"ZIIIIIZIIIII",
"ZZIIIIIIIIII",
"ZIZIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIZIIIII",
"IIIIIIIZIIII",
"IIIIZIIIIIII",
"IIIIIZIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
6,
-6,
10,
16,
-7,
6,
-6,
-4,
9,
2.5,
23,
-15
] | 0.972466 | [
0.2572867346638411,
0.0850958651474457,
1.096449638989412,
-0.13137193358328575,
0.22025019223318804,
-0.05550269057299718,
0.04707391395927519,
0.4865631114371908,
0.38066621088908836,
0.11512502777741285,
0.8892134512374903,
-0.07429341451026446,
0.3884358306082911,
-0.303917142710548,
... | {
"n_parameters": 101,
"n_qubits": 12,
"optimal_eigenvalue": -141.5,
"target_ratio": 0.97,
"target_value": -137.255
} | 14 |
0ae9b6f2b61290137ab22e2dafb0c164 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 4}, {"weight": 18, "source": 0, "target": 2}, {"weight": 11, "source": 1, "target": 4}, {"weight": 14, "source"... | {"states": [62, 61], "expectation_value": -7.688379011769696, "params": [[-0.0599], [0.06770000000000001]], "bitstrings": ["1000001", "1000010"], "total_optimization_steps": 10, "probabilities": [0.013446327189474758, 0.014801469574240559], "optimization_time": 3.3895411491394043} | 3.0 * (Z(0) @ Z(1)) + 3.0 * (Z(2) @ Z(1)) + 3.0 * (Z(2) @ Z(0)) + 3.0 * (Z(3) @ Z(0)) + 3.0 * (Z(4) @ Z(0)) + 3.0 * (Z(4) @ Z(2)) + 3.0 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(3)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) @ Z(4)) + 3.0 * (Z(6) @ Z(5)) + 12.0 * Z(1) + 7.0 * Z(0) + 12.5 * ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-53.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.5, "smallest_bitstrings": ["1000010"], "largest_eigenvalue": 112.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-2.877107649955667) q[0];
rz(-pi) q[0];
ry(-0.05357145502017478) q[1];
rz(-pi) q[1];
h q[2];
ry(1.2987883161683555) q[2];
ry(-0.03652883594563631) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.008100928029173525) q[3];
cx q[2], q[3];
ry(-0.03652883594563631) q[4];
rz(-pi) ... | 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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
c... | {"matching": "near_perfect", "extra": "{\"n\": 5}"} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIZIII",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
12,
7,
12.5,
13,
11.5,
4.5,
13
] | 0.99193 | [
-1.547794302812402,
-1.5261665628200867,
1.2987883161683555,
-0.01620185605834705,
0.015046013984830048,
0.20950853127499908,
0.061138862075359936
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
-8217713796506346970 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[4, 6], [9, 4], [0, 1, 3], [3, 5, 6], [2, 7], [8, 0, 7], [1, 4, 7], [9, 5, 6], [1, 9], [3, 7], [1, 2, 4], [0, 3, 6], [2, 3, 4], [8, 5, 6], [0, 5, 7], [9, 3], [1, 6, 7], [8, 9, 6], [0, 9, 7], [0, 9, 6], [0, 2, 4], [0, 1, 7], [0, 1, 4], [0, 8, 4]]} | {"states": [820, 970], "expectation_value": -4.445637029650482, "params": [[[1.5686, 1.5731000000000002], [1.5730000000000002, -1.1875], [-1.5728, 3.2183], [-1.5730000000000002, 1.5724], [1.5685, 1.5733000000000001], [1.5687, -1.5690000000000002], [1.5683, 1.5684], [1.5731000000000002, 1.5685], [1.5730000000000002, -0.... | 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(4)) + 0.3333333333333333 * (Z(0) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 0.3333333333333333 * (Z(0) @ Z(9)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(1) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(6)) + 0.166666666666666... | 15 | 10 | 1 | {"smallest_eigenvalues": [-6.000000000000001, -6.000000000000001], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.333333333333335, "smallest_bitstrings": ["0000100101", "0000110101"], "largest_eigenvalue": 21.000000000000007} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.6997404047952818) q[0];
ry(1.6013124306519904) q[1];
ry(-1.6042970766788902) q[2];
ry(-1.4170373630385231) q[3];
ry(1.5632242389872726) q[4];
ry(1.6470919267287403) q[5];
ry(1.6013782259895726) q[6];
ry(1.5702531646808287) q[7];
ry(1.6013124306519904) q[8];
ry(1.6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIZIZIIII",
"ZIIZIIIIII",
"ZIIIIZIIII",
"IIIZIIIIIZ",
"IIIIIZIIIZ",
"ZIIIIIIIIZ",
"IIIZIIIIZI",
"IIIIIZIIZI",
"ZIIIIIIIZI",
"IIIIIIIIZZ",
"IIIZIIZIII",
"IIIIIZZIII",
"ZIIIIIZIII",
"IIIIIIZIIZ",
"IIIIIIZIZI",
"IIIZZIIIII",
"ZIIIZIIIII",
"IIIIZIIIIZ",
"IIIIZIZIII",
"IIIIIZIZII"... | [
0.5,
0.5,
0.5,
0.3333333333333333,
0.5,
0.3333333333333333,
0.16666666666666666,
0.5,
0.5,
0.5,
0.3333333333333333,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,... | 0.971777 | [
1.6997404047952818,
1.6013124306519904,
-1.6042970766788902,
-1.4170373630385231,
1.5632242389872726,
1.6470919267287403,
1.6013782259895726,
1.5702531646808287,
-1.422706524941863,
4.598164062164264,
1.5383935540094948,
1.4522399713986824,
-1.7164994873822133,
1.6057241624979632,
-1.228... | {
"n_parameters": 16,
"n_qubits": 10,
"optimal_eigenvalue": -6.000000000000001,
"target_ratio": 0.97,
"target_value": -5.82
} | 25 |
5012989909338209192 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 4], [5, 7], [0, 1, 3], [8, 2], [3, 4, 7], [2, 3, 4], [1, 2], [2, 6, 7], [8, 0, 4], [0, 3, 6], [8, 3, 6], [2, 3, 5], [5, 6], [1, 6], [0, 2, 4], [4, 5], [8, 1, 3], [0, 2, 6]]} | {"states": [374, 118], "expectation_value": -4.628942242912733, "params": null, "bitstrings": ["010001001", "110001001"], "total_optimization_steps": 70, "probabilities": [0.22517846794656038, 0.5872869050961292], "optimization_time": 174.85438466072083} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.3333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(4)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.833333333333333, "smallest_bitstrings": ["110001001"], "largest_eigenvalue": 14.5} | 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[1];
rz(-0.6531396385558925) q[1];
cx q[4], q[1];
h q[5];
cx q[4], q[5];
rz(-0.6531396385558925) q[5];
cx q[4], q[5];
h q[6];
h q[7];
cx q[4], q[7];
rz(0.03774961976740608) q[7];
cx q[4], q[7];
cx q[4], q[0];
rz(-0.09523... | 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(1.5703) 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] = m... | [
"IIIIZIIZI",
"IIIZZIIII",
"IZIIZIIII",
"IZIZIIIII",
"IIIIZIIIZ",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIIIZIZI",
"IIIZIZIII",
"IZIIIZIII",
"IIIIIZIIZ",
"ZIIIZIIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIZIII",
"IIIIZIZII",
"IIIIIIZZI",
"IIIZIIZII",
"IZIIIIZII",
"IIIIIIZIZ",
"IIIIIZZII",
"... | [
0.5,
0.5,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.... | 0.522396 | [
-0.6531396385558925,
0.03774961976740608,
-0.09523004618077191,
-0.029970159057181162,
-0.9472959028866281,
-1.5103699116597538,
0.8452397831034623
] | {
"n_parameters": 7,
"n_qubits": 9,
"optimal_eigenvalue": -5.166666666666666,
"target_ratio": 0.97,
"target_value": -5.011666666666666
} | 185 |
5974782627867721302 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3, 5, 6, 7], [0, 1, 2, 4, 6, 8], [8, 3, 4], [0, 2, 3, 6, 7, 8], [0, 1, 2, 3, 4, 5], [0, 4, 5, 6, 8], [0, 2, 3, 4, 6, 7], [1, 2, 6, 7, 8], [0, 1, 2, 3, 8], [1, 2, 3, 6, 7], [1, 3, 6, 7, 8], [0, 1, 5, 6], [1, 2, 3, 7, 8]]} | {"states": [502, 438], "expectation_value": -2.1486776123134628, "params": [1.1987, 0.0046, 1.1876, 0.0064, 1.1977, 0.0041, 1.1946, 0.0033, 1.1816, 0.013900000000000001, 0.9752000000000001, 0.0067, 1.1861000000000002, 0.0053, 1.1681000000000001, 0.0036000000000000003, 1.1979, -0.0011, 1.1816, 0.0076, 1.0623, -0.0101000... | 0.2 * (Z(0) @ Z(3)) + 0.08333333333333334 * (Z(5) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(0)) + 0.21666666666666667 * (Z(6) @ Z(3)) + 0.2833333333333333 * (Z(6) @ Z(0)) + 0.18333333333333335 * (Z(6) @ Z(5)) + 0.26666666666666666 * (Z(7) @ Z(3)) + 0.11666666666666667 * (Z(7) @ Z(0)) + 0.05 * (Z(7) @ Z(5)) + 0.26666666... | 6 | 9 | 1 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.716666666666667, "smallest_bitstrings": ["001001001", "010010010"], "largest_eigenvalue": 13.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.668256735625362) q[0];
rz(1.5318210894989193) q[0];
rx(1.4173144516754712) q[1];
rz(1.5321955807784207) q[1];
rx(0.7381998421283674) q[2];
rz(1.3345814485163272) q[2];
rx(1.4453476438741417) q[3];
rz(1.5020846972854143) q[3];
rx(1.956668640959183) q[4];
rz(1.587001... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIZIZIII",
"IIIZIIIIZ",
"IIZIIZIII",
"IIZIIIIIZ",
"IIZZIIIII",
"IZIIIZIII",
"IZIIIIIIZ",
"IZIZIIIII",
"IZZIIIIII",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIIZIIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIZIIZII",
"IIZIIIZII",
"IZIIIIZII",
"IIIIIIZZI",
"... | [
0.2,
0.08333333333333334,
0.21666666666666667,
0.21666666666666667,
0.2833333333333333,
0.18333333333333335,
0.26666666666666666,
0.11666666666666667,
0.05,
0.26666666666666666,
0.23333333333333334,
0.2,
0.11666666666666667,
0.26666666666666666,
0.2,
0.25,
0.18333333333333335,
0.03... | 0.972066 | [
1.668256735625362,
-0.03897523729597751,
1.417314451675471,
-0.03860074601647549,
0.7381998421283673,
-0.23621487827856952,
1.4453476438741417,
-0.0687116295094823,
1.956668640959183,
0.01620496185489131,
0.7265585432480125,
0.0855566652247643,
1.5352341779544723,
0.05304920905644912,
2.... | {
"n_parameters": 42,
"n_qubits": 9,
"optimal_eigenvalue": -2.75,
"target_ratio": 0.97,
"target_value": -2.6675
} | 95 |
256225d97853e5dea4c267956d6a004a | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 5, "target": 6}, {"sour... | {"states": [255, 223], "expectation_value": -13.947158620578875, "params": [[[-0.0026000000000000003, 2.7135000000000002], [-0.0026000000000000003, -0.0025], [1.6616000000000002, -0.0022], [-0.0027, 0.0023], [0.002, -0.0019], [-0.0021000000000000003, -0.0021000000000000003], [-0.002, 0.002], [-0.0023, -0.002]]], "bitst... | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + ... | 15 | 8 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["00100000"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.7648299073622858) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.02842391094709545) q[2];
cx q[0], q[2];
rz(-1.5811113425611296) q[2];
rx(-1.0020933320155547) q[2];
h q[3];
cx q[1], q[3];
rz(-1.0125035551063972) q[3];
cx q[1], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
ry(x0) q[0];
ry(x0... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZZIIII",
"IZZIIIII",
"IZIZIIII",
"ZIZIIIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
-2,
0.5,
-1.5,
0.5,
-2,
-2,
-2,
-2,
1,
-2,
1,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.608086 | [
-0.7648299073622858,
-0.02842391094709545,
-1.0125035551063972,
-0.39754897852262905,
-1.5811113425611296,
-1.0020933320155547
] | {
"n_parameters": 6,
"n_qubits": 8,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 155 |
be472b2016026c5093c540b6b797236b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, ... | {"states": [25, 98], "expectation_value": -0.6838869735248552, "params": [[-0.069, -0.059300000000000005], [0.0765, 0.0713]], "bitstrings": ["1100110", "0011101"], "total_optimization_steps": 10, "probabilities": [0.011030791802687635, 0.01144162200032642], "optimization_time": 3.276456356048584} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(3) + -0.5 * Z(0) + -2.0 * Z(4) + -1.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(5) + 0.0 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0101110", "1100110", "0011110", "0011101"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.11165047736061574) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.11165047736061574) q[4];
cx q[3], q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.11165047736061574) q[1];
cx q[3], q[1];
rz(0.6801004226265079) q[3];
rx(1.8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZZIII",
"IIZIIIZ",
"IIIZIZI",
"IIZIIZI",
"IIZIZII",
"IIIIZZI",
"IZZIIII",
"IZIIZII",
"ZZIIIII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-2,
-1,
-1,
-1,
0
] | 0.949988 | [
0.11165047736061574,
0.6801004226265079,
-1.2793669971327344,
1.906877128597564,
-0.2048939820595919,
1.8032456787499715,
-0.5439094982994973,
0.94195206775595,
0.8232072892909775,
-1.3535390962714295,
0.5164659028424529,
-0.8711557630337686,
2.0150652390121726,
-0.5314133466484031,
3.15... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 500 |
-5223445331427974042 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 3, 4, 5, 6], [2, 5, 7], [0, 3, 5, 6, 7, 8], [1, 4, 5, 6], [8, 4, 6], [0, 1, 2, 4, 7, 8], [8, 9], [0, 1, 2, 3, 4, 7], [9, 4]]} | {"states": [886, 374], "expectation_value": -1.9794517967347245, "params": [1.0391000000000001, -0.3257, 0.9791000000000001, 0.008, 1.2696, 0.0366, 1.0772000000000002, 0.0028, 1.0769, -0.1467, 0.9780000000000001, 0.0097, 1.2936, 0.0882, 1.2722, 0.006900000000000001, 1.2963, -0.0211, 1.2983, 0.00030000000000000003, 1.29... | 0.08333333333333334 * (Z(2) @ Z(3)) + 0.08333333333333334 * (Z(4) @ Z(3)) + 0.11666666666666667 * (Z(4) @ Z(2)) + 0.08333333333333334 * (Z(5) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(4)) + 0.08333333333333334 * (Z(6) @ Z(3)) + 0.05 * (Z(6) @ Z(2)) + 0.3 * (Z(6) @ Z(4)) + 0.1666666... | 5 | 10 | 1 | {"smallest_eigenvalues": [-2.7166666666666655], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.65, "smallest_bitstrings": ["1010001001"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.5956669771753451) q[0];
rz(-0.39107289677486623) q[0];
rx(1.5185809012636013) q[1];
rz(0.23608326910958732) q[1];
rx(0.24130883760627705) q[2];
rz(-0.759240121885862) q[2];
rx(1.617525585668079) q[3];
rz(0.15064420500414766) q[3];
rx(1.8256172496600052) q[4];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIIZIZIII",
"IIIIZIIZII",
"IIIIZZIIII",
"IIIZIIZIII",
"IIIZIIIZII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIZIIIZIII",
"IIZIIIIZII",
"IIZIIZIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IIIIIIZIIZ",
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ"... | [
0.08333333333333334,
0.08333333333333334,
0.11666666666666667,
0.08333333333333334,
0.21666666666666667,
0.13333333333333333,
0.08333333333333334,
0.05,
0.3,
0.16666666666666669,
0.06666666666666667,
0.2333333333333333,
0.06666666666666667,
0.19999999999999998,
0.03333333333333333,
0.0... | 0.972126 | [
0.595666977175345,
-0.24868507666562217,
1.5185809012636018,
0.2151011531932876,
0.24130883760627708,
-0.4905953629465098,
1.6175255856680788,
0.17094241323997936,
1.825617249660005,
0.22734303791281577,
1.5802056067594166,
-0.044236108182419714,
0.17400748138960492,
0.6265974579531999,
... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -2.7166666666666655,
"target_ratio": 0.97,
"target_value": -2.6351666666666653
} | 56 |
52d445418826abb1edfe2507a27ebafb | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 6}, {"weight": 20, "source": 1, "target": 5}, {"weight": 3, "source": 2, "target": 3}, {"... | {"states": [111, 110], "expectation_value": -17.58895012877248, "params": [[-0.0426, -0.0196, -0.0145], [0.068, 0.061000000000000006, 0.0582]], "bitstrings": ["10010000", "10010001"], "total_optimization_steps": 10, "probabilities": [0.016188113468634448, 0.019847712094260936], "optimization_time": 6.577659368515015} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 8.5 * Z(1) + 3.0 * Z(0) + 14.0 * Z(2) + 9.5 * Z(4) + 5.5 * Z(3) + 11.0 * Z(5) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.5, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 114.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-1.6828308069606857) q[0];
rz(-pi) q[0];
ry(-1.031553795512743) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.47951232566871355) q[2];
h q[3];
ry(1.5494251047186622) q[3];
cx q[3], q[0];
ry(-0.13259672277912185) q[0];
cx q[3], q[0];
rz(-pi) q[4];
ry(-0.4898624661385249) 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": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
8.5,
3,
14,
9.5,
5.5,
11,
11.5,
7.5
] | 0.972207 | [
22.904847443811345,
-4.836510392042526,
-8.91936632246195,
18.086225405810733,
64.41757649799031,
-24.777570963831565,
-5.2393488668576165,
-11.415326169661288,
-0.5697063469010043,
-0.020562242613332754,
1.5494251047186622,
0.2651934455582437,
-0.44100939376492304,
0.0038150615698399892,
... | {
"n_parameters": 64,
"n_qubits": 8,
"optimal_eigenvalue": -58.5,
"target_ratio": 0.97,
"target_value": -56.745
} | 58 |
46e2e5ab81e5ed0c473e3f470b607ee3 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [378, 362], "expectation_value": -35.526408015850066, "params": [0.6805, 0.27340000000000003, 1.1042, 0.10350000000000001, 0.6493, 0.3294, 1.1037000000000001, 0.02, 1.1036000000000001, 0.0646, 0.8179000000000001, 0.4033, 1.0983, -0.016900000000000002, 0.6880000000000001, -0.1943, 1.099, 0.23750000000000002, ... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(4) @ Z(1)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(7) @ Z(1)) + 6.0 * (Z(7) @ Z(4)) + 6.0 * (Z(9) @ Z(6)) + 6.0 * (Z(8) @ Z(0)) + 6.0 * (Z(8) @ Z(9)) + 2.0 * Z(0) + 12.0 * Z(1) + 14.0 * Z(3) + 1.5 * Z(2) + 18... | 18 | 10 | 2 | {"smallest_eigenvalues": [-95.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.0, "smallest_bitstrings": ["1010010101"], "largest_eigenvalue": 145.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.04149548682130515) q[0];
rz(-0.584844514480245) q[0];
rx(1.9292808997819273) q[1];
rz(0.01063054880965364) q[1];
rx(0.2683048093436679) q[2];
rz(0.2606039594507045) q[2];
rx(1.6261159076828975) q[3];
rz(0.1526943586643851) q[3];
rx(1.695676120356862) q[4];
rz(0.14... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIIZIZIII",
"IIIZZIIIII",
"IIZIIIIIZI",
"IIZIIZIIII",
"ZIIZIIIIII",
"IZIIIIIIIZ",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
2,
12,
14,
1.5,
18,
3.5,
9,
2.5,
3.5,
7
] | 0.974964 | [
0.04149548682130515,
-0.3268801616361718,
1.9292808997819273,
0.01063054880965364,
0.2683048093436679,
0.2606039594507045,
1.6261159076828975,
0.1526943586643851,
1.695676120356862,
0.14965856115394494,
-0.3011305417912451,
0.08857982644803825,
1.1308433324191056,
0.08349756508870554,
-0... | {
"n_parameters": 57,
"n_qubits": 10,
"optimal_eigenvalue": -95,
"target_ratio": 0.97,
"target_value": -92.14999999999999
} | 25 |
16d309fbf50eb3de0ab671378ee18bce | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [254, 127], "expectation_value": -2.952815394740268, "params": [[-0.0405, -0.016900000000000002, -0.044000000000000004, -0.0575], [0.0618, 0.0077, 0.0405, 0.0517]], "bitstrings": ["00000001", "10000000"], "total_optimization_steps": 10, "probabilities": [0.010512041210698517, 0.01103808502570927], "optimizat... | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(5) @ Z(3)) + -1.5 * (Z(5) @ Z(0)) + -1.75 * (Z(1) @ Z(3)) + -0.5 * (Z(7) @ Z(3)) + 2.0 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.25 * (Z(2) @ Z(5)) + -0.25 * (Z(4) @ Z(5)) + -1.25 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(6) @... | 1 | 8 | 4 | {"smallest_eigenvalues": [-14.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 17.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.12021306467003467) q[0];
cx q[3], q[0];
h q[4];
h q[5];
cx q[3], q[5];
rz(0.12021306467003467) q[5];
cx q[3], q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(0.619045472878983) q[1];
cx q[3], q[1];
rz(0.6629361776915914) q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIZIZIII",
"IIZIIIIZ",
"IIIIZIZI",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIZIIIII",
"ZIIIIIZI",
"IIIIZZII",
"IIZIIZII",
"IIZZIIII",
"ZIIZIIII",
"IIIZIZII",
"IZIIZIII",
"IZIIIZII",
"IZIZIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIIIIZII",
"IIIZIII... | [
-0.25,
-0.25,
-1.5,
-1.75,
-0.5,
2,
-0.75,
-0.25,
-1.5,
-1.25,
-0.25,
-1.25,
-0.5,
-1.5,
-1.75,
-2,
0.75,
-0.25,
0.5,
-0.5,
-0.75,
1.5,
1.5,
-2.75
] | 0.753128 | [
0.12021306467003467,
0.6629361776915914,
0.619045472878983,
0.28570574726183656,
-0.5663852669872758,
0.1273970154663604,
0.3375480158663885,
0.5843197981729872,
-0.1663806001123737,
-0.3111552012899571,
-0.24267714715287347,
0.014118320570961941,
1.2171445897763404,
0.1959828147103447,
... | {
"n_parameters": 26,
"n_qubits": 8,
"optimal_eigenvalue": -14.25,
"target_ratio": 0.97,
"target_value": -13.8225
} | 500 |
-2319646435818465406 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 3, 6, 7, 9, 11], [1, 2, 3, 8, 11], [1, 10, 4], [2, 3, 5, 8, 10, 11], [1, 2, 3, 4, 6], [0, 1, 4, 5, 6, 7, 9, 11], [0, 2, 10, 11], [8, 9, 11, 4], [0, 2, 7, 8, 10], [0, 1, 4, 5, 6, 8], [3, 4, 7], [3, 6, 9, 10, 11], [0, 1, 2, 4, 7], [1, 3, 5, 6, 7, 8, 9],... | {"states": [1854, 3902], "expectation_value": -5.2337996365498665, "params": [0.8366, 0.8378, 1.5710000000000002, 1.5667, 1.5783, 1.5674000000000001, 1.5887, 1.5572000000000001, 0.21930000000000002, 0.2136, 0.21730000000000002, 0.2151, 1.587, 1.5476, 1.572, 1.5739, 1.5750000000000002, 1.5629000000000002, 1.621500000000... | 0.15595238095238095 * (Z(0) @ Z(3)) + 0.2619047619047619 * (Z(6) @ Z(3)) + 0.23214285714285712 * (Z(6) @ Z(0)) + 0.36428571428571427 * (Z(7) @ Z(3)) + 0.20833333333333334 * (Z(7) @ Z(0)) + 0.18214285714285713 * (Z(7) @ Z(6)) + 0.23928571428571427 * (Z(9) @ Z(3)) + 0.21666666666666665 * (Z(9) @ Z(0)) + 0.248809523809523... | 13 | 12 | 1 | {"smallest_eigenvalues": [-5.57261904761905], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.542857142857143, "smallest_bitstrings": ["000011000001"], "largest_eigenvalue": 30.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.1171757460546852) q[0];
rz(-0.5345821263353848) q[0];
ry(1.5511582193168398) q[1];
ry(1.4662133501391739) q[2];
ry(1.512606244112729) q[3];
ry(0.14245203125127726) q[4];
ry(0.0297390377006932) q[5];
ry(1.5619835700281213) q[6];
ry(1.5818151786631756) q[7];
ry(1.53... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIIZ",
"IIIIIZIIZIII",
"IIIIIZIIIIIZ",
"IIIIZIIIZIII",
"IIIIZIIIIIIZ",
"IIIIZZIIIIII",
"IIZIIIIIZIII",
"IIZIIIIIIIIZ",
"IIZIIZIIIIII",
"IIZIZIIIIIII",
"ZIIIIIIIZIII",
"ZIIIIIIIIIIZ",
"ZIIIIZIIIIII",
"ZIIIZIIIIIII",
"ZIZIIIIIIIII",
"IIIIIIIIZIZI",
"IIIIIIIIIIZZ",
"IIIIIZIII... | [
0.15595238095238095,
0.2619047619047619,
0.23214285714285712,
0.36428571428571427,
0.20833333333333334,
0.18214285714285713,
0.23928571428571427,
0.21666666666666665,
0.24880952380952379,
0.16547619047619047,
0.35476190476190483,
0.28214285714285714,
0.18214285714285713,
0.2011904761904761... | 0.975704 | [
1.1171757460546852,
1.5511582193168398,
1.4662133501391739,
1.512606244112729,
0.14245203125127726,
0.0297390377006932,
1.5619835700281213,
1.5818151786631756,
1.5365199671792773,
1.7274880920433373,
1.5338019098571152,
0.05795263788544251,
-1.0691642526707696,
-0.24908288156276434,
-0.1... | {
"n_parameters": 48,
"n_qubits": 12,
"optimal_eigenvalue": -5.57261904761905,
"target_ratio": 0.97,
"target_value": -5.405440476190478
} | 5 |
d64cdfb0330688360d8e7e9aacc7d340 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 12, "source": 0, "target": 5}, {"weight": 11, "source": 1, "ta... | {"states": [430, 236], "expectation_value": -27.26518063937746, "params": [[-0.0431, -0.0018000000000000002, 0.0114], [0.08220000000000001, 0.0767, 0.0687]], "bitstrings": ["001010001", "100010011"], "total_optimization_steps": 10, "probabilities": [0.01113746905820703, 0.012673570310705269], "optimization_time": 6.092... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(6)) + 12.0 * Z(1) + 9.5 * Z(0) + 15.0 * ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-69.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.0, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 144.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.10233588057642375) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.10233588057642375) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.10233588057642375) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.10233588057642375) q[3];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIZIIZII",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"ZIIIIZIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
12,
9.5,
15,
5.5,
6,
16,
13,
5,
3.5
] | 0.970148 | [
-0.10233588057642375,
-1.972954297576704,
-2.3850419836234593,
-1.297796695472286,
-0.8416997263869539,
1.0253532726422685,
-0.7924832909763568,
-0.384709670388384,
0.4953370609194741,
0.9148457820585352,
0.0481164808355527,
0.10362743334425072,
0.42933531128712676,
-1.5105622714494802,
... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -69,
"target_ratio": 0.97,
"target_value": -66.92999999999999
} | 81 |
ae9c84de96340fafef2df50aa0a81910 | 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": 4}, {"source": 1, "target": 6}, ... | {"states": [1460, 1462], "expectation_value": -2.7605933100500675, "params": [[[1.5685, 1.5727], [1.5694000000000001, 1.5727], [1.5684, 1.5726], [1.5732000000000002, -1.5677], [1.5728, 1.5779], [1.5686, 1.5681], [1.5737, -1.5686], [1.5682, 1.568], [1.5677, 1.5676], [1.5685, 0.021400000000000002], [1.5683, 3.11290000000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(5... | 15 | 11 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 27, "first_excited_energy": -2.25, "smallest_bitstrings": ["1100100000... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.18906960300818731) q[0];
rz(0.158699787040575) q[0];
ry(1.0992299556626917) q[1];
rz(0.29797241520627515) q[1];
cz q[1], q[0];
ry(0.14663774078681105) q[0];
rz(-0.38992404017205684) q[0];
ry(1.102786827897618) q[1];
ry(-0.18937635618798024) q[2];
rz(-0.36706097816... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIIIIZZZ",
"IIIIIIIZIZZ",
"IIIIIIIZZIZ",
"IIIIIIIZZZI",
"IIIIIIIZZZZ",
"IIIIIZZIIII",
"IIIIZIIIIIZ",
"IIIZIIIIIIZ",
"IIIZZIIIIII",
"IIIZZIIIIIZ",
"IIIIZIIIIZI",
"IIZIIIIIIZI",
"IZIIIIIII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25... | 0.97418 | [
0.18906960300818731,
0.158699787040575,
1.0992299556626917,
0.29797241520627515,
-0.18937635618798024,
-0.3670609781624589,
0.26177128026265717,
0.2127426690448129,
-0.04094715412144846,
0.6046482249090953,
0.1334960340852437,
-0.42390203013161915,
0.010825512192054576,
0.01666871653662485... | {
"n_parameters": 121,
"n_qubits": 11,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 124 |
7028020551812257116 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 4], [0, 3], [0, 1, 2], [2, 3, 4]]} | {"states": [20, 11], "expectation_value": -0.004409737216485687, "params": [[0.023], [-0.0309]], "bitstrings": ["01011", "10100"], "total_optimization_steps": 10, "probabilities": [0.03148666996233113, 0.03148674727406082], "optimization_time": 0.45635175704956055} | 0.5 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666663 * Z(4) + 0.16666666666666674... | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.3333333333333335, -1.3333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.3333333333333333, "smallest_bitstrings": ["01011", "10100"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(3.1840525822143966) q[0];
rz(-0.19353973609762531) q[0];
rx(2.9663391458618067) q[1];
rz(0.12464523700661531) q[1];
rx(3.1168065975944432) q[2];
rz(-0.0009228045701002432) q[2];
rx(0.29994861615414964) q[3];
rz(-0.019746769170318534) q[3];
rx(2.7305403278814975) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[3];
rz(x1) q[3];
cx q[4], q[3];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[0], q[... | null | {"circuits": [], "gradients": []} | [
"ZIIIZ",
"ZZIII",
"IZIIZ",
"IIIZZ",
"ZIZII",
"IIZIZ",
"IZZII",
"IIZZI",
"ZIIII",
"IIIIZ",
"IZIII",
"IIIZI",
"IIZII"
] | [
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666663,
0.16666666666666674,
0.16666666666666663,
0.16666666666666666,
0.3333333333333333
] | 0.976357 | [
3.1840525822143966,
-0.19353973609762531,
2.9663391458618067,
0.12464523700661531,
3.1168065975944432,
-0.0009228045701002432,
0.29994861615414964,
-0.019746769170318534,
2.7305403278814975,
0.7618705229205667
] | {
"n_parameters": 10,
"n_qubits": 5,
"optimal_eigenvalue": -1.3333333333333335,
"target_ratio": 0.97,
"target_value": -1.2933333333333334
} | 10 |
2dfe5372837113be7c6fbf1a018c1186 | 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": 0, "target": 2}, {"source": 3, "target": 5}, {"s... | {"states": [1008, 8176], "expectation_value": -25.387157831955683, "params": [[[-0.0026000000000000003, 0.0076], [0.002, 0.0078000000000000005], [1.4792, 0.0034000000000000002], [-0.0021000000000000003, 0.0023], [-0.0026000000000000003, 0.0056], [-0.0021000000000000003, 0.0002], [0.0021000000000000003, 0.0014], [-0.002... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(3)) + -2.5 * (Z(8) @ Z(5)) + -3.0 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(8)) + -2.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(3)) + -2.5... | 2 | 13 | 1 | {"smallest_eigenvalues": [-29.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.5, "smallest_bitstrings": ["0000000001111"], "largest_eigenvalue": 25.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(0.027686884161747) q[0];
rz(0.2656912331544581) q[0];
rx(-0.21311071264028342) q[1];
rz(0.1467561533515424) q[1];
rx(0.7869109088258579) q[2];
rz(-0.36677175677243457) q[2];
rx(-0.0960571923244272) q[3];
rz(0.15135148239906449) q[3];
rx(0.027686884161747) 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[... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZIZ",
"IIIIIIIZIZIII",
"IIIIIIZZIIIII",
"IIIIIIZIIZIII",
"IIIIZIIZIIIII",
"IIIIZIIIIZIII",
"IIIIZIZIIIIII",
"IIIIIIIZZIIII",
"IIIIIIIIZZIII",
"IIIIZIIIZIIII",
"IIIIIZIZIIIII",
"IIIIIZIIIZIII",
"IIIIZZIIIIIII",
"IIIIIZIIZIIII",
"IIZZIIIIIII... | [
-1.5,
0.5,
-1.5,
-2.5,
0.5,
-2,
-2.5,
-3,
0.5,
0.5,
0.5,
-2.5,
-2,
1,
-2.5,
0.5,
0.5,
-1.5,
0.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-2,
-2,
-2
] | 0.972237 | [
0.027686884161747,
0.2656912331544581,
-0.21311071264028342,
0.1467561533515424,
0.7869109088258579,
-0.36677175677243457,
-0.0960571923244272,
0.15135148239906449,
0.28717659263878037,
0.2863929133537717,
0.09810358420852969,
-0.32118223178646343,
-0.011348102251711095,
3.103720273683787,... | {
"n_parameters": 22,
"n_qubits": 13,
"optimal_eigenvalue": -29.5,
"target_ratio": 0.97,
"target_value": -28.615
} | 16 |
9e72aed817e662969111170f29d9c9a1 | 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": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 7}, {"source": ... | {"states": [960, 1023], "expectation_value": -13.983003577356271, "params": [0.0634, 0.0026000000000000003, 2.7575000000000003, 0.0034000000000000002, 0.09330000000000001, 0.0032, 2.8334, -0.0036000000000000003, -0.0026000000000000003, 0.2136, 0.0022, 0.1651, -1.0626, -0.001, -0.0028, -0.2631, -0.0021000000000000003, -... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 1.0 * Z(5) + 1.0 * Z(4) + -1.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(9) | 4 | 10 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["0000000000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.01650399604425194) q[0];
cx q[1], q[0];
rz(1.5334888226379757) q[0];
rx(-1.3478479890324493) q[0];
rz(1.5334888226379757) q[1];
rx(-1.3478479890324493) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.01650399604425194) 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[... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIZIZIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IZIIIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII"
] | [
-1,
-1,
-1.5,
-2,
-2,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
-1.5,
0.5,
0.5,
0.5
] | 0.785067 | [
-0.01650399604425194,
-0.28296532373961525,
-1.3207579721554537,
1.5334888226379755,
0.0486325120114352,
-1.3478479890324493
] | {
"n_parameters": 6,
"n_qubits": 10,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 170 |
7649588842338433581 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 4, 6, 7], [8, 1, 3, 4], [1, 4, 6, 7], [0, 1, 3, 7, 8], [0, 2, 4, 6, 7], [8, 2], [8, 5, 6], [8, 1, 6], [8, 1, 3, 5], [0, 2, 3, 4, 6], [4, 5], [1, 2, 3, 4, 7], [8, 4, 6], [0, 5, 7], [3, 5, 6]]} | {"states": [238, 311], "expectation_value": -2.117002552925485, "params": [[0.38270000000000004], [-0.3844]], "bitstrings": ["100010001", "011001000"], "total_optimization_steps": 40, "probabilities": [0.011633368518447706, 0.011652847523457565], "optimization_time": 49.05446720123291} | 0.26666666666666666 * (Z(3) @ Z(4)) + 0.43333333333333335 * (Z(6) @ Z(4)) + 0.3 * (Z(6) @ Z(3)) + 0.26666666666666666 * (Z(7) @ Z(4)) + 0.18333333333333335 * (Z(7) @ Z(3)) + 0.21666666666666667 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(4)) + 0.21666666666666667 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.05 * (Z(8) @ Z(7)) + 0.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.8000000000000016], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.716666666666668, "smallest_bitstrings": ["011001000"], "largest_eigenvalue": 14.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-2.6808648634138037) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.4674404481010005) q[1];
h q[2];
ry(-0.4174947468621872) q[2];
h q[3];
ry(1.5476321452348163) q[3];
h q[4];
h q[5];
ry(-0.5206308351451352) q[5];
cx q[4], q[5];
ry(0.5206308351451352) q[5];
cx q[4], q[5];
ry(-0.26... | 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": []} | [
"IIIIZZIII",
"IIZIZIIII",
"IIZIIZIII",
"IZIIZIIII",
"IZIIIZIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZIIIIZIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIZIIZI",
"IIIIIZIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IIIIZIIIZ",
"IIIIIZIIZ",
"IIZIIIIIZ",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"IIIIIIIZZ",
"... | [
0.26666666666666666,
0.43333333333333335,
0.3,
0.26666666666666666,
0.18333333333333335,
0.21666666666666667,
0.25,
0.21666666666666667,
0.5,
0.05,
0.21666666666666667,
0.26666666666666666,
0.25,
0.18333333333333335,
0.3833333333333333,
0.1,
0.1,
0.1,
0.26666666666666666,
0.05,... | 0.971676 | [
1.5103508595887516,
1.5476321452348163,
1.2285296100637746,
-1.0412616702902704,
-0.8349894937243744,
1.1074156921028566,
-0.9278775831669082,
0.4462703759274426,
-0.934880896202001,
0.6300671159792638,
-0.5226110149513566,
0.556439330120181,
-0.3320301984814409,
-0.7292442070934777,
-0.... | {
"n_parameters": 39,
"n_qubits": 9,
"optimal_eigenvalue": -3.8000000000000016,
"target_ratio": 0.97,
"target_value": -3.6860000000000013
} | 4 |
36ff2850f9ca4956ff6a75a44d9ad0dc | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [1198, 1199], "expectation_value": -2.1604548096362173, "params": [[1.5229000000000001, 0.24810000000000001, 0.8732000000000001, 1.7045000000000001, -0.0033, 1.6486, 0.0742, 1.1471, 0.012400000000000001, 1.4516, 0.0032], [1.6305, 0.49250000000000005, 0.4973, 1.0962, 0.2624, 1.4911, 0.457, 1.7032, 1.708000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(5) @ Z(6) @ Z(7)) + 0.125 * (Z(5) @ Z(1)... | 10 | 11 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 26, "first_excited_energy": -2.25, "smallest_bitstrings": ["01010001001", "10... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cz q[10], q[9];
rx(-0.13175179733157877) q[10];
h q[10];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIIZZIII",
"IIIIIIZZIIZ",
"IIIIZZIIIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IIIZZZIIIII",
"IIIIIZIIIZI",
"IIZIIIIIIZI",
"IZIIIIIIIZI",
"IIZIIZIIIII",
"IZIIIZIIIII",
"IZZIIIIIIII",
"IIZIIZIII... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,... | 0.076923 | [
1.5707965843928602,
-6.250215574404665e-8,
0.4800264076414042,
0.30762598108994876,
1.570796582306965,
0.22113488257277297,
-3.013440284091102e-7,
-1.5707961608689993,
-0.12593085181051042,
-0.13175179733157877,
-0.580708177958514,
-0.48002629318198703,
-1.5707960986992084,
-0.843060424767... | {
"n_parameters": 28,
"n_qubits": 11,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 498 |
aba6fa396d14e467ae0d99dd38e3c99d | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 3, "source": 1, "target": 6... | {"states": [55, 63], "expectation_value": -1.5928561581719716, "params": [[-0.0463, -0.0545, -0.06520000000000001], [0.053700000000000005, 0.0639, 0.0709]], "bitstrings": ["1001000", "1000000"], "total_optimization_steps": 10, "probabilities": [0.01776843901653411, 0.019731434433996088], "optimization_time": 4.07370376... | -0.75 * (Z(0) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.25 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(6)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + 0.0 * Z(3) + -0... | 1 | 7 | 3 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6029463113024511) q[0];
h q[1];
h q[2];
ry(0.7929991718921372) q[2];
h q[3];
ry(0.8794283440467482) q[3];
h q[4];
ry(0.7775597893498037) q[4];
cx q[1], q[4];
ry(-0.7775597893498037) q[4];
cx q[1], q[4];
cx q[4], q[2];
ry(-0.7929991718921372) q[2];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIIZIZI",
"IIZIIZI",
"ZIIZIII",
"ZIIIIIZ",
"ZIIIIZI",
"IIIZZII",
"IIIIZZI",
"IIZIZII",
"ZIIIZII",
"IZIIIZI",
"ZZIIIII",
"IZIIZII",
"IIIZIII",
"IIIIIIZ",
"IIIIIZI",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IZIIIII"
] | [
-0.75,
-0.25,
-1.5,
-0.25,
1,
-0.75,
-0.75,
-0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-1.5,
0,
-0.25,
-0.75,
1,
-0.75,
-0.75,
1.5
] | 0.97193 | [
1.5743455116567144,
1.5551195786996075,
1.5859983437842744,
1.5572663646124898,
0.8452599701378314,
1.7588566880934964,
0.9720374565052816,
-1.2058926226049023,
-0.0008241090567600584,
0.3357831707759824,
-0.22263848914659737,
0.09928482409924796,
-0.45654623459993954,
-0.20093592429500787... | {
"n_parameters": 40,
"n_qubits": 7,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 453 |
bb51b85a8f0cca1e878093cb2d4e9f25 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [18, 3], "expectation_value": -14.842345072431947, "params": null, "bitstrings": ["101101", "111100"], "total_optimization_steps": 51, "probabilities": [0.10238766939330543, 0.5694301130604257], "optimization_time": 68.96671557426453} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.25 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 ... | 13 | 6 | 3 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0578548521713938) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0578548521713938) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0578548521713938) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0578548521713938) q[3];
cx q[1], q[3];
cx... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-0.069) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
-6,
-5.75,
-6,
-5.75,
-5.25,
-5.25
] | 0.970515 | [
0.0578548521713938,
-0.5965324608541779,
0.14798932566828993,
0.42484350980591923,
-0.9272829572068437,
-0.04010345398285296,
-1.1578923267991272,
-0.46130283317179,
-1.0852932021567716,
0.9461273837682691,
-0.03445215865394413,
-1.0967217839356491,
-0.4607238774334183,
0.35636944727550446... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 112 |
0541faf635a6399f550a5b5935bfa17a | 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": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [502, 733], "expectation_value": -0.5765999641927166, "params": [[-0.0782, -0.0756, -0.0805, -0.0805], [0.0762, 0.07100000000000001, 0.0737, 0.0738]], "bitstrings": ["1000001001", "0100100010"], "total_optimization_steps": 10, "probabilities": [0.0028614697104630887, 0.00286647155579308], "optimization_time"... | 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 | 10 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100010100", "0011000010", "1000001001", "0010011000", "0100100010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2586347423333518) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.2586347423333518) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2586347423333518) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(0.2586347423333518) q[2];
cx q[3], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIIZZIIZ",
"IIIIZIZIIZ",
"IIIIZZIIIZ",
"IIIIZZZIII",
"IIIIZZZIIZ",
"IIZZIIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IZZZIIIIII",
"IIIIIIZIZI"... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.2... | 0.849143 | [
0.2586347423333518,
-0.9522193741903392,
-0.4483492681819256,
-1.0023321824572908,
0.8794944450881496,
-1.7734914868935794,
-1.1441282434786142,
-0.46313879118016416
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 241 |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [42, 50], "expectation_value": -3.4963974346641984, "params": null, "bitstrings": ["010101", "001101"], "total_optimization_steps": 25, "probabilities": [0.06635223124592704, 0.9303259840124461], "optimization_time": 19.194867610931396} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(5) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["010101", "001101"], "largest_eigenvalue": 7.5} | 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 | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIZIIZ",
"ZIIIIZ",
"IIZIZI",
"IIZZII",
"IIIZZI",
"IZZIII",
"ZZIIII",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.505615 | [
-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 |
4788755b9046cb997ec5043a21f8c9e6 | 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": 1, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 13, "source": 0, "target": 4}, {"weight": 17, "source": 1, "tar... | {"states": [252, 236], "expectation_value": -38.6732148623005, "params": [[0.0253, 0.0034000000000000002, -0.008700000000000001], [-0.08360000000000001, -0.0852, -0.0685]], "bitstrings": ["100000011", "100010011"], "total_optimization_steps": 10, "probabilities": [0.009765556582167635, 0.012087161793160668], "optimizat... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-98.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.0, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 192.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.03403160597780367) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.03403160597780367) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.03403160597780367) q[1];
cx q[0], q[1];
h q[3];
cx q[0], q[3];
rz(-0.03403160597780367) q[3];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZZIIIII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10,
5,
24.5,
22,
23,
5,
20.5,
9.5,
-4
] | 0.973244 | [
-0.03403160597780367,
-1.346127074484193,
1.576569062334897,
-1.9306515494972587,
-1.6352730170387917,
-1.6057071926812976,
-1.665909739693592,
1.224431153956964,
1.726462556839075,
1.4983459587508987
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -98,
"target_ratio": 0.97,
"target_value": -95.06
} | 40 |
c508ed0753e7f28a56c3d421944e1b14 | 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": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": ... | {"states": [1023, 991], "expectation_value": -18.01391072706388, "params": [[[-0.0021000000000000003, 3.1443000000000003], [-0.0029000000000000002, -0.0026000000000000003], [-0.0028, -0.003], [-0.0029000000000000002, -0.003], [-1.5994000000000002, -0.003], [-0.0023, -0.0029000000000000002], [-0.0024000000000000002, -0.... | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(9)) + -2.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(9)) + -2.0 * (Z(7) @ Z(6)) + 0.5 ... | 15 | 10 | 1 | {"smallest_eigenvalues": [-18.5, -18.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["0000100000", "1111100000"], "largest_eigenvalue": 23.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.7291371562030355) q[0];
h q[1];
ry(0.7291371562030355) q[1];
h q[2];
ry(0.7291371562030355) q[2];
h q[3];
ry(0.7291371562030355) q[3];
h q[4];
cx q[4], q[2];
ry(-0.7291371562030355) q[2];
cx q[4], q[2];
cx q[2], q[1];
ry(-0.7291371562030355) q[1];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
ry(x0) q[0];
ry(... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZIZII",
"ZIIIZIIIII",
"ZIIZIIIIII",
"IIIZZIIIII",
"ZIZIIIIIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII"... | [
-2.5,
-2.5,
-2.5,
-2,
0.5,
0.5,
0.5,
1,
-2.5,
-1.5,
-2.5,
0.5,
0.5,
-2,
0.5,
-2,
0.5,
1,
-2,
1.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.915952 | [
1.458274312406071,
1.3872352199077964,
0.43265572000725083,
1.7472751240308502,
2.460316084491704,
-1.6911549022642565,
1.3920584157237343,
-1.7964221369290723,
-0.13807442145023333,
1.4281463964483823,
0.6211818657583873,
0.02293687955143612,
-0.02160493637811021,
0.19460941767846418,
0... | {
"n_parameters": 76,
"n_qubits": 10,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 500 |
64b81587301614454a8e204aef648a08 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 5, "source": 1, ... | {"states": [103, 111], "expectation_value": -12.474865994844917, "params": null, "bitstrings": ["10011000", "10010000"], "total_optimization_steps": 66, "probabilities": [0.4267754212591789, 0.4267757631547689], "optimization_time": 79.82381010055542} | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -1.25 * (Z(7) @ Z(1)) + 2.0 * (Z(7) @ Z(0)) + -0.75 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + 1.75 * Z(1) + -0.25 * Z(0) + -3.0 * Z(3) + -1.75 * Z(4) + 0.75... | 1 | 8 | 2 | {"smallest_eigenvalues": [-13.5, -13.5, -13.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -11.5, "smallest_bitstrings": ["10010000", "10011000", "10111110"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.7620331655042796) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.009727605300973743) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(0.022309653861594385) q[2];
cx q[3], q[2];
h q[4];
cx q[1], q[4];
rz(0.022309653861594385) q[4];
cx... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIZIIZ",
"IIIZIIZI",
"ZIIIIIZI",
"ZIIIIIIZ",
"IIIIZZII",
"IIIZIZII",
"IIZIZIII",
"IIZIIZII",
"IZIIIZII",
"IZZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII"
] | [
-0.25,
-1.5,
-0.75,
-1.25,
2,
-0.75,
-1,
-0.75,
-1.25,
-0.5,
-0.5,
1.75,
-0.25,
-3,
-1.75,
0.75,
2.5,
0,
0
] | 0.970256 | [
-0.7620331655042796,
0.009727605300973743,
0.022309653861594385,
-0.5342435375433542,
0.4659873954897646,
-0.037513852242874623,
-0.6135829027365842,
0.48420167523977486,
-0.6188044349738584,
-0.746188471536007,
1.1163776811111443,
-0.12719197134176755,
-0.03880296896392278,
-1.39805669698... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 176 |
-7337701157855719165 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 7], [0, 5, 7], [2, 3, 5, 6], [1, 2]]} | {"states": [37, 39], "expectation_value": -1.487720337054945, "params": null, "bitstrings": ["11011010", "11011000"], "total_optimization_steps": 58, "probabilities": [0.26053266879161835, 0.3408156943036469], "optimization_time": 86.24254894256592} | 0.5 * (Z(4) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.583333333333333, -1.583333333333333, -1.583333333333333, -1.583333333333333, -1.583333333333333, -1.583333333333333, -1.583333333333333], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.5000000000000004, "smallest_bitstrings": ["11011000", "01010001", "01001100", "01000011",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[4];
rz(1.5135131211547004) q[4];
cx q[7], q[4];
rz(-0.41275778193969437) q[4];
rx(-0.8562048889401611) q[4];
cx q[7], q[0];
rz(0.27849328077490243) q[0];
cx q[7], q[0];
cx q[7], q[5];
rz(0.278493... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.1408) 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[... | [
"ZIIZIIII",
"ZIIIIIIZ",
"ZIZIIIII",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIIIZZII",
"IZZIIIII",
"IZIIIZII",
"IZIIZIII",
"IIIIIZZI",
"ZIIIIIII",
"IIIZIIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"IIIIIIZI"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.16666666666666663,
0,
0.16666666666666666,
0.29166666666666663,
0.125,
0.125,
0.1... | 0.815047 | [
1.5135131211547004,
0.27849328077490243,
0.14561342422131693,
-0.41275778193969426,
1.2087892087157945,
0.547789556573655,
-0.8562048889401611
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -1.583333333333333,
"target_ratio": 0.97,
"target_value": -1.535833333333333
} | 192 |
2e6ea11e2a4f0b1c9b569231867d91ab | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [414, 398], "expectation_value": -2.032019930243052, "params": [2.1996, 0.0083, 2.1969000000000003, 0.0085, 0.4152, 0.0045000000000000005, 0.9760000000000001, 0.006500000000000001, 1.5690000000000002, 0.0035, 2.2128, 0.0043, 1.6433, 0.0063, 2.1971000000000003, 0.0088, 0.0021000000000000003, 0.006800000000000... | 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(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(4)... | 16 | 9 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.375, "smallest_bitstrings": ["010100011", "011100001", "001100101", "100001011", "001100011", "100010011", "001110001", "001001101", "101010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.38962684685429555) q[0];
rz(1.879268088331699) q[0];
rx(0.06838683446041065) q[1];
rz(1.1876047389723228) q[1];
rx(-0.09351746147219979) q[2];
rz(1.5623416949371212) q[2];
rx(-0.1139784767351197) q[3];
rz(1.3299050299033546) q[3];
rx(0.23761046912690656) q[4];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIIZZZIII",
"IIIIIZIIZ",
"IIZIIIIIZ",
"IIZIIZIII",
"IIZIIZIIZ",
"IIIIZIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZIZIIII",
"IZIIZIIII",
"IZZIIIIII",
"IIZIZIIZI",
"IZIIZIIZI",
"IZZIIIIZI",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0,
0.125,
-0.25,
0,
0.125,
-0.25,
0.125,
-0.125,
-1
] | 0.970427 | [
0.3896268468542955,
0.3084717615368029,
0.06838683446041065,
-0.3831915878225738,
-0.0935174614721998,
-0.00845463185777533,
-0.1139784767351197,
-0.24089129689154237,
0.2376104691269066,
0.1457510130319123,
0.5153135079350096,
-0.6342581115198167,
0.23184671834073584,
0.13841169131561415,... | {
"n_parameters": 164,
"n_qubits": 9,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 258 |
36d9a5cf3521b49d4476ce715d8c0ad7 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capaci... | {"states": [23, 5], "expectation_value": -1.0915653594612018, "params": [[-0.0405, 0.07970000000000001], [0.07400000000000001, -0.058100000000000006]], "bitstrings": ["101000", "111010"], "total_optimization_steps": 10, "probabilities": [0.023137428617778236, 0.023728406040293554], "optimization_time": 2.33973193168640... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(5)) + 0.25 * Z(1) + -0.25 * Z(0) + -2.0 * Z(2) + -0.5 * Z(4) + 1.0 * Z(5) + 1.5 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["111010"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.6292887025535705) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.04618041281989933) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.007673726159640182) q[2];
cx q[0], q[2];
rz(-0.6083754899099731) q[2];
rx(-1.404979792842081) q[2];
h q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"IIZIZI",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
-0.25,
-0.75,
-1.25,
-2.5,
-1.25,
-0.5,
3,
-0.75,
-0.75,
-1.5,
0.25,
-0.25,
-2,
-0.5,
1,
1.5
] | 0.970099 | [
-0.6292887025535705,
0.04618041281989933,
-0.007673726159640182,
0.0014916916360776782,
-0.46060734627126926,
0.3239788305077106,
0.01849303280472035,
-0.5146328598809707,
-0.6083754899099729,
0.8594047236079715,
0.5729854675707052,
-1.404979792842081,
-0.3213977582439117,
0.02464735125219... | {
"n_parameters": 36,
"n_qubits": 6,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 216 |
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