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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
4eebe9a8a97a840077f78c3a170e65f1 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3... | {"states": [64, 63], "expectation_value": -0.4274390209679027, "params": [[-0.050800000000000005, -0.0629], [0.0659, 0.0694]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.011773018907917748, 0.012456613523512624], "optimization_time": 4.686901092529297} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.2761211352183031) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.13717878779095488) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(-0.2761211352183031) q[3];
cx q[1], q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(0.13808832036080526) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IZIIIIZ",
"IIIIZZI",
"IZIIZII",
"IIIZIZI",
"IZIZIII",
"IIIZZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZZIIIII",
"ZIIIZII",
"IIZIIZI",
"IZZIIII",
"IIZIZII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IIZIIII"
] | [
-0.5,
-0.25,
-0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-0.5,
1,
-0.5,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
0,
-0.25,
0.75,
-0.5,
0,
-0.5,
0.5
] | 0.959466 | [
-0.2761211352183031,
0.13808832036080526,
0.13717878779095488,
-0.2208905765275829,
-0.6091682224936915,
0.12825958314828695,
-0.6660683162981736,
1.4990730486084969,
-0.35178542503829574,
0.3184564914299048,
0.38589115212704433,
-0.5285511882352306,
-0.4855828621421047,
-0.654983086342713... | {
"n_parameters": 29,
"n_qubits": 7,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 500 |
5427330770951355531 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 1, 4, 6], [8, 0, 3, 6], [8, 2], [6, 7], [9, 2, 4, 5], [1, 3, 7], [0, 4, 5], [0, 1, 4], [0, 9], [2, 3, 6], [8, 9, 1], [2, 3, 7], [8, 9, 5, 7], [0, 1, 6], [0, 8, 4, 6], [9, 2, 3, 5], [0, 2, 4, 7], [8, 1, 4, 7]]} | {"states": [509, 505], "expectation_value": -3.7537565926496117, "params": [0.0742, 0.0757, 1.6132, 1.5250000000000001, 1.1114, 1.2878, 1.7015, 1.356, 1.5313, 1.6259000000000001, 1.8849, 1.155, 1.2744, 1.3283, 1.8721, 1.2939, 1.2887, 1.848, 1.6596000000000002, 1.4774, 0.0603, 1.8748, 1.3241, -0.3431, 0.1114, 1.4086, 0.... | 0.3333333333333333 * (Z(8) @ Z(1)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(8)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(6) @ Z(8)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.3333333333333333 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(8)) + 0.49999999999999994 * (Z(0) @ Z(4)) + 0.3333333333333333 * (Z(0)... | 14 | 10 | 1 | {"smallest_eigenvalues": [-4.583333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.416666666666667, "smallest_bitstrings": ["1000000110"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.15034866846510803) q[0];
rz(pi/2) q[0];
ry(1.646069149458347) q[1];
ry(1.5567673125667312) q[2];
ry(1.722828341698039) q[3];
ry(1.4483617496531627) q[4];
ry(2.307837255855429) q[5];
ry(1.726545047365099) q[6];
ry(1.493660161059538) q[7];
ry(0.9759091415497338) 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": []} | [
"IZIIIIIIZI",
"IIIIIZIIZI",
"IZIIIZIIII",
"IIIZIIIIZI",
"IZIZIIIIII",
"IIIZIZIIII",
"IIIIIIIIZZ",
"IZIIIIIIIZ",
"IIIIIZIIIZ",
"IIIZIIIIIZ",
"IIIIIIZIZI",
"IZIIIIZIII",
"IIIZIIZIII",
"IIIIIIZIIZ",
"IZIIIIIZII",
"IIIIIZIZII",
"IIIZIIIZII",
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIZIIIIIZI"... | [
0.3333333333333333,
0.3333333333333333,
0.25,
0.25,
0.25,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.49999999999999994,
0.3333333333333333,
0.16666666666666666,
0.08333333333333333,
0.25,
0.08333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.083... | 0.970354 | [
0.15034866846510803,
1.646069149458347,
1.5567673125667312,
1.722828341698039,
1.4483617496531627,
2.307837255855429,
1.726545047365099,
1.493660161059538,
0.9759091415497338,
1.5381026501368056,
0.13462207183234184,
-0.0978115888283715,
-0.6179431022678867,
0.22894550804833136,
1.039765... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -4.583333333333335,
"target_ratio": 0.97,
"target_value": -4.445833333333335
} | 27 |
238da0afcff22b3cc95b712a7ad70447 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [369, 371], "expectation_value": -1.0743222684104616, "params": [0.5709000000000001, 0.12390000000000001, 0.30720000000000003, 0.2111, 0.6979000000000001, -0.001, 0.7031000000000001, -0.038900000000000004, 0.6997, 0.29910000000000003, 0.3274, 0.36510000000000004, 0.2823, 0.2051, 0.5592, -0.000300000000000000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(4... | 18 | 9 | 3 | {"smallest_eigenvalues": [-3.375, -3.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.375, "smallest_bitstrings": ["100010010", "010001100"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.15400852379458427) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.15400852379458427) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.15400852379458427) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(0.15400852379458427) q[0];
cx q[3], 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIZZIIII",
"IIZIIIIIZ",
"IZIIIIIZI",
"IIIIZIZII",
"IIZIIIZII",
"ZIIIIIZII",
"IIZIZIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIZIZIZII",
"... | [
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,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.12... | 0.699923 | [
0.15400852379458427,
-0.16652351332765766,
0.9539397028763626,
1.06600767204121,
-0.6690269654905423,
0.34760366534217846,
-0.3361262054812998,
1.1832235155449329,
-0.26439160478237117,
-0.374497929541955
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 323 |
58fa04385078dcdc0b5f9361c481400a | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [174, 206], "expectation_value": -1.9093767458551345, "params": null, "bitstrings": ["01010001", "00110001"], "total_optimization_steps": 58, "probabilities": [0.08401115856030354, 0.7713980463996462], "optimization_time": 108.57985663414001} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.25 * (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)... | 1 | 8 | 2 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -1.125, "smallest_bitstrings": ["00110010", "01000110", "01010001", "01110000", "10001001", "01010100",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.47101618974758475) q[0];
rz(-0.16827364835461855) q[0];
rx(0.48551343822356186) q[1];
rz(0.17804732572877252) q[1];
rx(0.32539434813691376) q[2];
rz(0.5457656730524693) q[2];
rx(-0.21683998807139754) q[3];
rz(0.30031640895019224) q[3];
rx(1.2220557292476708) q[4];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-0.5926) q[6], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIZZZIII",
"IIIIZIIZ",
"IZIIIIIZ",
"IZIIZIII",
"IZIIZIIZ",
"IIIZIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IZIZIIII",
"ZIIZIIII",
"ZZIIIIII",
"IZIZIIZI",
"ZIIZIIZI",
"ZZIIIIZI",
"ZZIZIIII",
"ZZIZIIZ... | [
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,
0.125,
0,
0,
0.125,
0,
0.125,
0.125
] | 0.971822 | [
0.4710161897475848,
-0.09099105680982872,
0.48551343822356186,
0.17804732572877252,
0.32539434813691376,
0.5457656730524693,
-0.21683998807139754,
0.30031640895019224,
1.2220557292476708,
0.00816620436411572,
0.6463337616946943,
0.03026562494828463,
0.5393888844458095,
-0.2593316846640103,... | {
"n_parameters": 71,
"n_qubits": 8,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 45 |
1c80f3c75b1022b250456b9adb4d4588 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "... | {"states": [1023, 4095], "expectation_value": -0.5251832487317649, "params": [[-0.0392], [0.0415]], "bitstrings": ["110000000000", "000000000000"], "total_optimization_steps": 10, "probabilities": [0.00030480041775892124, 0.0003048004177589214], "optimization_time": 6.205612421035767} | -1.5 * (Z(1) @ Z(0)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + -2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -2.0 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(9)) + -2.0 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + -2.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(7)) + 0... | 1 | 12 | 1 | {"smallest_eigenvalues": [-20.5, -20.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -19.5, "smallest_bitstrings": ["110000000000", "000000000000"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(0.7881973540517776) q[0];
h q[1];
h q[2];
h q[3];
ry(0.7907293289779709) q[3];
h q[4];
ry(0.046606813134946995) q[4];
cx q[2], q[4];
ry(-0.046606813134946995) q[4];
cx q[2], q[4];
ry(1.5587695768240728) q[2];
cx q[2], q[3];
ry(-0.7907293289779709) q[3];
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;
input float[64] x5;
input float[64] x6;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[0], q[1];
rz(x0... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZZII",
"IIIIIIIZZIII",
"IIIIIIIZIZII",
"IIIIIIZIIZII",
"IIIIIIZZIIII",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIZIZIIIIIII",
"IIZZIIIIIIII",
"IIIZZIIIIIII",
"IZZIIIIIIIII",
"IZIIZIIIIIII",
"IZIZIIIIIIII",
"ZIZIIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIII... | [
-1.5,
-1.5,
0.5,
-2.5,
0.5,
-2,
0.5,
-2,
-1.5,
-2,
-2,
0.5,
-2.5,
0.5,
0.5,
0.5,
-1.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.971171 | [
0.09321362626989399,
1.5587695768240728,
0.544818641536793,
0.0410280574670515,
-0.1986086597017536,
0.5306605180693353,
0.040464218229772225,
0.16128146173068025,
0.6041273568895739,
0.06783314616493902,
-0.05293718679934651,
1.5814586579559418,
0.6304560385128332,
-0.13376611041215536,
... | {
"n_parameters": 78,
"n_qubits": 12,
"optimal_eigenvalue": -20.5,
"target_ratio": 0.97,
"target_value": -19.884999999999998
} | 164 |
cab05bbaa5c9bc16d2f9a258ea5a953c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target":... | {"states": [67, 83], "expectation_value": -6.509604610735069, "params": [0.0018000000000000002, -0.0044, -0.0012000000000000001, -0.0004, 0.0005, -0.0002, 0.8087000000000001, 0.8007000000000001, 0.33790000000000003, 0.3099, 0.8011, 0.8064, 0.1388, 0.1431, 0.1918, 0.1933, 0.8043, 0.8043, 0.807, 0.8037000000000001, -0.00... | 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(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) ... | 13 | 10 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["1110101100", "1110011100", "1111011000", "0111111000"], "largest_eigenvalue": 23.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.009934467687431652) q[0];
rz(0.12587184630464535) q[0];
ry(-0.10490433781416458) q[1];
ry(0.03957477854722896) q[2];
ry(1.1672447373707744) q[3];
ry(0.32390622647296696) q[4];
ry(1.2718647526939206) q[5];
ry(-0.37158148615981024) q[6];
ry(0.027452188217496586) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IIIIIZIZII",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIZIIIIIZ",
"IIIZIZIIII",
"IIIIIIIZZI",
"IIIIIZIIZI",
"IIIIZIIIZI",
"IIZIIIZIII",
"IIZIZIIIII",
"IIZIIIIIZI",
"ZIIIIIIZII",
"ZIIZIIIIII",
"ZIIIIIIIZI",
"IZIZIIIIII",
"IIIIIIIZII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-2,
-1,
-2,
-1.5,
-1.5,
-2,
-1,
-1,
0
] | 0.970233 | [
-0.009934467687431652,
-0.10490433781416458,
0.03957477854722896,
1.1672447373707744,
0.32390622647296696,
1.2718647526939206,
-0.37158148615981024,
0.027452188217496586,
1.6389294294865016,
1.0347051209116436,
0.2517436926092907,
0.06424291958377834,
-0.021238716463112622,
0.4573745620157... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 16 |
a51181bafa7bcb3e3b3a50a4cac69c67 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target":... | {"states": [504, 507], "expectation_value": -12.75513341362285, "params": null, "bitstrings": ["000000111", "000000100"], "total_optimization_steps": 100, "probabilities": [0.13571569807323755, 0.48685738156686026], "optimization_time": 215.72942876815796} | -2.0 * (Z(0) @ Z(4)) + -3.0 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 1.0 * (Z(2) @ Z(4)) + -2.5 * (Z(2) @ Z(1)) + 1.0 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(2)) + -3.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 1.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(5)) + -1.0 * (Z(7) @ Z(8)) + 0.5 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["000000100"], "largest_eigenvalue": 25.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.12726247641617497) q[0];
ry(-0.017856014981994427) q[1];
ry(0.006819761579907199) q[2];
ry(-0.047049428794170664) q[3];
ry(-0.047049428794170664) q[4];
ry(0.02881057310933227) q[5];
ry(2.19397133255719) q[6];
ry(-0.18006442045966792) q[7];
ry(0.09274446222470187) q... | null | {"node": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5708) 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... | [
"IIIIZIIIZ",
"IIIIZIIZI",
"IIIIIIIZZ",
"IIIIZIZII",
"IIIIIIZZI",
"IIIZZIIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIIIZZIII",
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIZZII",
"IIIZIZIII",
"ZZIIIIIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIZIIIII",
"IIIIIZIII",
"ZIIIIIIII",
"... | [
-2,
-3,
0.5,
1,
-2.5,
1,
-2.5,
1,
-3,
0.5,
1.5,
-2.5,
-2.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.976303 | [
0.12726247641617497,
-0.017856014981994427,
0.006819761579907199,
-0.047049428794170664,
0.02881057310933227,
2.19397133255719,
-0.18006442045966792,
0.09274446222470187,
3.033227029120907,
-0.005211358910638933,
-0.04793785376419697,
0.04430703756615468,
0.3319194323424757,
0.197021469533... | {
"n_parameters": 15,
"n_qubits": 9,
"optimal_eigenvalue": -18,
"target_ratio": 0.97,
"target_value": -17.46
} | 18 |
b1983a1e4f06f774f7ec1ed4bb689b87 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [3542, 1495], "expectation_value": -2.692407714970666, "params": [[[0.6647000000000001, 0.0081], [0.8991, 0.0034000000000000002], [0.1681, 0.0071], [0.9042, 0.10110000000000001], [0.5952000000000001, 0.1835], [0.8982, 0.2212], [0.0495, 0.1328], [0.8854000000000001, 0.35650000000000004], [0.28900000000000003,... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 15 | 12 | 3 | {"smallest_eigenvalues": [-3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.9375, "smallest_bitstrings": ["010001101000", "001100100010", "001100100001", "010100100001",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-3.110890127013184) q[0];
rz(1.9029253204861867) q[0];
rx(-0.26867952655149685) q[1];
rz(0.8417665446110831) q[1];
rx(2.0510367682738306) q[2];
rz(1.955572682224596) q[2];
rx(2.921280890939064) q[3];
rz(2.025452591676391) q[3];
rx(0.03390849757045124) q[4];
rz(1.5179... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZZZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIIZ",
"IIIIIIZIIIIZ",
"IIIIIIIZZIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIIIZZIIZ",
"IIIIIIZIZIIZ",
"IIIIIIZZIIIZ",
"IIIIIIZZZIII",
"IIIIIIZZZIIZ",
"IIIIZIIIZIII",
"IIIZIIIIZIII",
"IIZIIIIIZ... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,... | 0.982397 | [
3.1722951801664028,
0.33212899369129,
-0.2686795265514968,
-0.729029782183813,
2.0510367682738306,
0.38477635542969957,
2.921280890939064,
0.4546562648814948,
0.03390849757045123,
-0.05284710603833778,
-0.020333522141549626,
-0.024680036878463735,
0.16098021335982882,
-0.17881572502715487,... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 19 |
2fde01ebb7d3cd1daf98d95b5f19909d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 5}, {"weight": 16, "source": 0, "target": 3}, {"weight": 18, "source": 1, "target": 3}, {... | {"states": [121, 118], "expectation_value": -8.788921213791863, "params": [[0.045000000000000005, -0.0374], [-0.0614, -0.0021000000000000003]], "bitstrings": ["10000110", "10001001"], "total_optimization_steps": 10, "probabilities": [0.0067442083829207895, 0.007595923798325183], "optimization_time": 4.183308839797974} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 20.0 * Z(1) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-70.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 147.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.07427298662465327) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.07427298662465327) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.07427298662465327) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.07427298662465327) q[3];
cx q[1], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZZIII",
"IIZIIZII",
"IIZZIIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"ZIIIIZII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
20,
5,
14.5,
17,
9,
11,
10.5,
4.5
] | 0.970934 | [
0.07427298662465327,
-1.4746527526723987,
0.5195060594398412,
-0.9525594040303011,
-1.4597959388112045,
0.3211671694017895,
-1.6745883128150552,
-0.9711864288713873,
0.6027278372357929,
0.2385736843446129,
-0.03375219622682421,
-0.3875539840557747,
0.9499103781916123,
-0.5066415936816603,
... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -70.5,
"target_ratio": 0.97,
"target_value": -68.385
} | 45 |
5d474162f07dfb1b3248afb7c4b90a85 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, ... | {"states": [9, 3], "expectation_value": -11.977103392676792, "params": [[-0.048100000000000004, -0.0223, 0.0424], [0.0679, 0.0592, 0.0034000000000000002]], "bitstrings": ["1110110", "1111100"], "total_optimization_steps": 10, "probabilities": [0.01674186468223937, 0.01764184558691632], "optimization_time": 7.2232935428... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 2.75 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 2... | 14 | 7 | 3 | {"smallest_eigenvalues": [-30.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.75, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.33842977011630987) q[0];
rz(-0.1108368416663894) q[0];
rx(0.3147269537321503) q[1];
rz(0.4403416265327494) q[1];
rx(-0.051370858575326604) q[2];
rz(-0.22672638531976275) q[2];
rx(0.03931970306589702) q[3];
rz(0.9073276713830547) q[3];
rx(0.0661833452113321) 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": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
2.75,
3,
3,
2.75,
3,
2.75,
3,
3,
3,
3,
-10,
-10.5,
-10,
-10,
-10.25,
-9.5,
-9.25
] | 0.976782 | [
-0.33842977011630987,
-0.1108368416663894,
0.3147269537321503,
0.4403416265327494,
-0.051370858575326604,
-0.22672638531976275,
0.03931970306589702,
0.9073276713830547,
0.0661833452113321,
-0.5231724704730886,
2.88377300871935,
-1.119200286847717,
2.8464014046151784,
-0.7664925011163902
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -30.75,
"target_ratio": 0.97,
"target_value": -29.8275
} | 16 |
120bed499187e0b77564ccc1defdb812 | 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": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [104, 232], "expectation_value": -5.330108098298064, "params": [0.8417, 0.0001, 0.8053, 0.0038, 0.9045000000000001, 0.0489, 0.9058, 0.0068000000000000005, 0.9019, 0.26990000000000003, 0.9002, 0.0016, 0.3452, -0.4312, 0.2862, 0.0018000000000000002, 0.9082, 0.0477, 0.9108, 0.007200000000000001, -0.002900000000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + -1.0 * Z(3) ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["00010111"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.1536250186305157) q[0];
rz(0.14332610762216413) q[0];
rx(1.2113430644836134) q[1];
rz(0.30623703347320586) q[1];
rx(1.4602929707543864) q[2];
rz(-0.049532920750692266) q[2];
rx(-0.06030085156310526) q[3];
rz(-0.7483272705165263) q[3];
rx(1.308422249727449) 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": []} | [
"IIIIZIIZ",
"IIZIZIII",
"IIZIIIIZ",
"IZIIIIIZ",
"ZIIIIIIZ",
"ZIZIIIII",
"IIZIIIZI",
"IZIIIIZI",
"IIIIZZII",
"IIZIIZII",
"ZIIIIZII",
"IIZZIIII",
"IZIZIIII",
"ZIIZIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"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,
0.5,
0.5,
-1,
-1.5,
-2.5,
-1,
-1.5,
-0.5,
-1,
-1
] | 0.973448 | [
1.1536250186305157,
0.1553065793727691,
1.2113430644836132,
0.19064709967812193,
1.4602929707543866,
-0.038557571648359115,
-0.06030085156310525,
-0.4425714442708072,
1.308422249727449,
0.18150336618625018,
0.09257486246940816,
0.18947096133201696,
-0.047893580354243,
0.7019154945295514,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 18 |
0ae9b6f2b61290137ab22e2dafb0c164 | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 23, "source": 0, "target": 4}, {"weight": 2, "source": 1, "target": 2}, {"weight": 21, "source": 1, "target": 3}, {"weight": 5, "source": ... | {"states": [415, 413], "expectation_value": -5.035185063556209, "params": [0.42400000000000004, 0.0184, 0.42310000000000003, 0.0024000000000000002, 0.36560000000000004, 0.0267, 0.3659, 0.0059, 0.20770000000000002, -0.1273, 0.2084, -0.1403, 0.18910000000000002, -0.1547, 0.1832, -0.1661, 0.4138, 0.0234, 0.4189, 0.0056, 0... | 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) ... | 5 | 9 | 4 | {"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;
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] 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... | {"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
] | 0.99193 | [
-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 |
a369690b9b65e00c6c142199e68049c1 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [63, 47], "expectation_value": -73.68700387381577, "params": [0.3481, 0.5923, -0.0059, -0.6962, 1.3979000000000001, -0.1772, 0.7793, -0.4037, 1.4023, -0.0045000000000000005, 1.3936000000000002, 0.1154, 1.3994, -0.0019, 1.3951, 0.3126, 0.34490000000000004, 0.0032, -0.0119, 0.0046, 1.3984, 0.0077, 0.7708, 0.00... | 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(0) @ Z(4)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(6) @ Z(3)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(6) @ Z(7)) + -1.5 * Z(1) + 23.0 * Z(2) + 14.5 * Z(4) + 1.5 * Z(0) + 1... | 18 | 8 | 2 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.0, "smallest_bitstrings": ["11010000"], "largest_eigenvalue": 182.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.14251731165175882) q[0];
rz(0.658387056170743) q[0];
rx(-0.06413321071070038) q[1];
rz(-0.7840521020190582) q[1];
rx(1.4436397435175519) q[2];
rz(-0.20170215080008447) q[2];
rx(0.28137477681065504) q[3];
rz(-0.4082400870147309) q[3];
rx(1.4209853716886736) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIZIIIZ",
"IIIIZZII",
"IIIZZIII",
"IIZIIZII",
"IIZIZIII",
"ZIIZIIII",
"ZIIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
-1.5,
23,
14.5,
1.5,
14,
13,
16.5,
23
] | 0.971548 | [
0.1425173116517588,
0.36191876443268,
-0.06413321071070038,
-0.7840521020190582,
1.4436397435175519,
-0.20170215080008447,
0.28137477681065504,
-0.4082400870147309,
1.4209853716886736,
-0.17258317615344804,
1.3524388127697933,
0.10853957056429278,
1.5800454560370096,
0.08776872184363657,
... | {
"n_parameters": 46,
"n_qubits": 8,
"optimal_eigenvalue": -89,
"target_ratio": 0.97,
"target_value": -86.33
} | 13 |
5149137613144097099 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 5, 6, 7], [0, 2, 3, 4, 6], [1, 6], [2, 3, 6, 7], [0, 1, 2, 3, 4, 7], [2, 5], [0, 1, 3, 5, 7]]} | {"states": [31, 241], "expectation_value": -0.8237449007653712, "params": [[0.3744], [-0.35800000000000004]], "bitstrings": ["11100000", "00001110"], "total_optimization_steps": 40, "probabilities": [0.011446218199208198, 0.011450810504334831], "optimization_time": 2.0575640201568604} | 0.18333333333333335 * (Z(0) @ Z(3)) + 0.1 * (Z(5) @ Z(3)) + 0.1 * (Z(5) @ Z(0)) + 0.18333333333333335 * (Z(6) @ Z(3)) + 0.1 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(5)) + 0.21666666666666667 * (Z(7) @ Z(3)) + 0.13333333333333336 * (Z(7) @ Z(0)) + 0.1 * (Z(7) @ Z(5)) + 0.13333333333333333 * (Z(7) @ Z(6)) + 0.16666666666666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.0166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.95, "smallest_bitstrings": ["00001110"], "largest_eigenvalue": 6.000000000000001} | 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(-0.017405636453511175) q[0];
cx q[3], q[0];
h q[4];
h q[5];
cx q[3], q[5];
rz(-0.022811357744353885) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(-0.022811357744353885) q[5];
cx q[0], q[5];
h q[6];
cx q[3], q[6];
rz(-0.0174056... | OPENQASM 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": []} | [
"IIIIZIIZ",
"IIZIZIII",
"IIZIIIIZ",
"IZIIZIII",
"IZIIIIIZ",
"IZZIIIII",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIZIIIII",
"ZZIIIIII",
"IIIIZZII",
"IIIIIZIZ",
"IIZIIZII",
"IZIIIZII",
"ZIIIIZII",
"IIIZZIII",
"IIIZIIIZ",
"IZIZIIII",
"ZIIZIIII",
"IIIZIZII",
"IIIIZIZI",
"IIIIIIZZ",
"IIZIIIZ... | [
0.18333333333333335,
0.1,
0.1,
0.18333333333333335,
0.1,
0.05,
0.21666666666666667,
0.13333333333333336,
0.1,
0.13333333333333333,
0.16666666666666666,
0.08333333333333334,
0.5,
0.13333333333333333,
0.11666666666666667,
0.08333333333333334,
0.08333333333333334,
0.05,
0.0333333333... | 0.834611 | [
-0.017405636453511175,
-0.022811357744353885,
0.0019159285070665438,
-0.01960185819306109,
-0.027416875764557435,
0.002526454513578935,
0.06824968417487322,
1.601843197206299,
0.0056181257168768884,
0.008964752148199105,
1.6083057093332613,
1.5979453597178466,
0.7120285422661965,
0.0232414... | {
"n_parameters": 17,
"n_qubits": 8,
"optimal_eigenvalue": -2.0166666666666666,
"target_ratio": 0.97,
"target_value": -1.9561666666666666
} | 409 |
f20b14ccaf46fd91ed39b9c05edbe906 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target"... | {"states": [2, 3], "expectation_value": -3.4784307577825633, "params": [[[0.7022, 0.0078000000000000005], [0.8540000000000001, 0.0098], [0.8513000000000001, 0.0046], [1.6053000000000002, 0.0012000000000000001], [1.6033000000000002, 0.0014]]], "bitstrings": ["11101", "11100"], "total_optimization_steps": 160, "probabili... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -3.0 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "11001", "10110"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-pi) q[0];
ry(-3.041947219049351) q[0];
h q[1];
ry(1.6318833541680478) q[1];
h q[2];
ry(-0.7379926998527211) q[2];
h q[3];
h q[4];
ry(0.8376298721779702) q[4];
cx q[1], q[4];
ry(-0.8376298721779702) q[4];
cx q[1], q[4];
h q[5];
ry(-0.7147883140515682) q[5];
h q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
1.75,
1.75,
1.75,
2,
2,
-2.75,
-3,
-2.75,
-2.5,
-2.5
] | 0.991552 | [
1.626920252534508,
1.6318833541680478,
1.6752597443559405,
1.4055255953993955,
-1.4295766281031363,
1.526293908737557,
1.4857719885790526,
-1.4759853997054422,
1.5056411906827167,
-0.1302135460495614,
0.288295705195563,
0.02259902731407358,
0.052822537266667954,
0.02672121721962814,
-0.1... | {
"n_parameters": 24,
"n_qubits": 11,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
e136dd3cea407d3fe443210f8cf0dea7 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 19, "source": 1, "target": 2}, {"weight": 8, "source": 2, "target": 3}, {"weight": 16, "sourc... | {"states": [229, 197], "expectation_value": -55.61646099645227, "params": [[[0.0028, 1.0285], [1.4046, -0.0012000000000000001], [1.4009, -0.0017000000000000001], [0.7466, 0.30860000000000004], [-0.0026000000000000003, 0.6701], [0.0018000000000000002, -0.7829], [1.0474, -0.0193], [0.0032, 0.9803000000000001], [1.3979000... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 0.5 * Z(1) + -10.0 * Z(0) + 6.0 * Z(2) + 3.0 * Z(3) + -3... | 1 | 9 | 2 | {"smallest_eigenvalues": [-64.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -56.5, "smallest_bitstrings": ["100111010"], "largest_eigenvalue": 87.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.11964780026409781) q[0];
cx q[1], q[0];
rz(0.9364566079483394) q[0];
rx(1.1110511150607807) q[0];
h q[2];
cx q[1], q[2];
rz(0.11964780026409781) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(0.11964780026409781) 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] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIIZII",
"IIZIIZIII",
"IZZIIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
0.5,
-10,
6,
3,
-3,
-6,
-3,
-10,
-5
] | 0.941244 | [
0.11964780026409781,
-1.7426991377104577,
0.9364566079483394,
1.2787093663411269,
-1.668615855841008,
-1.6148876577115532,
-1.7657252198897775,
1.272118445353159,
-1.7910103174444303,
1.111051115060781,
-0.42245520418577437,
0.2922488977194785,
-0.893838452483616,
0.18834188614879768,
-0... | {
"n_parameters": 19,
"n_qubits": 9,
"optimal_eigenvalue": -73.5,
"target_ratio": 0.97,
"target_value": -71.295
} | 500 |
2a9ab16bb8bcea71e9f34a77597a5638 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, {"source": 3, "target": 6}, ... | {"states": [51, 54], "expectation_value": -4.499861120048025, "params": null, "bitstrings": ["1001100", "1001001"], "total_optimization_steps": 32, "probabilities": [1.7113027027474555e-05, 0.9999110896043665], "optimization_time": 30.132447242736816} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["1001001"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.21069830025586003) q[0];
rz(-0.44314380018304966) q[0];
rx(0.6758685682189609) q[1];
rz(-0.07231239329845751) q[1];
rx(0.5304567662709817) q[2];
rz(0.0524343513804677) q[2];
rx(-0.2764618131261993) q[3];
rz(0.21560061027038913) q[3];
rx(0.6842987872754291) q[4];
r... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"ZIIZIII",
"ZIZIIII",
"ZIIIIZI",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1,
-1.5,
-1,
-1,
0,
0
] | 0.970268 | [
-0.21069830025586003,
-0.2661478952017108,
0.6758685682189609,
-0.11332069058319576,
0.5304567662709817,
0.04323630987877809,
-0.27646181312619933,
0.1941591628277346,
0.684298787275429,
-0.08672849227055314,
0.5560224463447703,
0.3101181280349571,
0.13765148430319257,
0.27958925789989647,... | {
"n_parameters": 69,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 9 |
e840bd3ec781deb729460bc3f6760492 | 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}, {"bipartite":... | {"states": [165, 181], "expectation_value": -72.8654474513898, "params": [[[0.7887000000000001, 0.0363], [0.29150000000000004, 0.038700000000000005], [-0.1767, 0.3138], [-0.0019, 1.5187000000000002], [1.5770000000000002, 1.4742000000000002], [-0.0022, -0.09230000000000001], [0.0027, 1.5727], [-0.781, -0.002600000000000... | 7.0 * (Z(1) @ Z(3)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(4) @ Z(1)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(2) @ Z(4)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(8) @ Z(7)) + 24.0 * Z(3) + 15.5 * Z(1) + 17.0 * Z(4) + 12.0 * Z(2) + 4.5 * Z(5) + 7.0 * Z(6) + 3.5 * Z(7) + -0.5 ... | 15 | 9 | 2 | {"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["101001010"], "largest_eigenvalue": 165.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.8033243564605379) q[0];
ry(0.19960815620632333) q[1];
ry(-0.11735535849070403) q[2];
ry(0.012099769341933353) q[3];
ry(2.587845869264024) q[4];
ry(-0.022326028551730822) q[5];
ry(-0.016439712943088776) q[6];
ry(-0.4764777672850927) q[7];
ry(-0.14008269736595047) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZI",
"IIIIZZIII",
"IIIIZIIZI",
"IIIIIZZII",
"IIIIIIZZI",
"IIIIZIZII",
"IIIZIZIII",
"IIZZIIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIIZII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIIZ"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
24,
15.5,
17,
12,
4.5,
7,
3.5,
-0.5,
-12
] | 0.971648 | [
0.8033243564605379,
0.19960815620632333,
-0.11735535849070403,
0.012099769341933353,
2.587845869264024,
-0.022326028551730822,
-0.016439712943088776,
-0.4764777672850927,
-0.14008269736595047,
0.11877691665249121,
0.18586049704555319,
0.35756146697979063,
2.485496005248307,
1.5824376867337... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -83,
"target_ratio": 0.97,
"target_value": -80.50999999999999
} | 52 |
ccfaf6bcbef4d9a1584b2236770a9125 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [7, 135], "expectation_value": -3.9509193695970257, "params": [0.8023, -0.0031000000000000003, -0.0134, 0.4893, 0.29810000000000003, -0.191, 0.1794, -0.2982, -0.013800000000000002, 0.4525, 0.8051, 0.23850000000000002, 0.8097000000000001, 0.0017000000000000001, 0.8045, 0.0024000000000000002, 0.802, 0.00960000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(4) + ... | 3 | 8 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["01111000"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.62286909201317) q[0];
rz(0.0776554920348902) q[0];
rx(0.07290140980546438) q[1];
rz(0.7140557673695715) q[1];
rx(0.045382659395596874) q[2];
rz(0.33243381878959655) q[2];
rx(0.07735709530331114) q[3];
rz(-0.8245668755493178) q[3];
rx(0.1041133438659408) 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": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIIZ",
"IIZIIIZI",
"IIZZIIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"IIZIIZII",
"ZIIZIIII",
"ZIIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"IIIIIZII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1.5,
-1,
-1,
-0.5,
-0.5
] | 0.977087 | [
1.62286909201317,
0.03890011700637372,
0.07290140980546438,
0.47048600114568057,
0.045382659395596874,
0.0951724930848439,
0.07735709530331114,
-0.5380083525171675,
0.10411334386594079,
0.8648967971030052,
1.4537679791569011,
-0.03543329746946265,
1.6869638284555009,
0.06312981305243864,
... | {
"n_parameters": 43,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 15 |
5da6b1a543b3f492255d9f7e7c7c2e8c | 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": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [156, 28], "expectation_value": -4.176657818521687, "params": [0.7351000000000001, -0.0342, 0.5869, 0.0901, 0.0025, 0.533, 0.8451000000000001, 0.2559, 0.9101, -0.0006000000000000001, 0.9046000000000001, 0.0015, 0.0027, 0.5967, -0.003, 0.6038, 0.7273000000000001, 0.0063, 0.5831000000000001, 0.0049, 0.0037, 0.... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + -1.0 * Z(3) + 0.0 * Z(0) + -1.5 * ... | 3 | 8 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.5, "smallest_bitstrings": ["00110111", "10100111", "11100011", "01110011", "01110101", "01011101", "01011011"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.34289609406550997) q[0];
rz(0.11709639243030345) q[0];
rx(0.2791855742714723) q[1];
rz(0.48912734998175855) q[1];
rx(-0.12775909420806103) q[2];
rz(0.7572094193566503) q[2];
rx(1.4256704502745727) q[3];
rz(-0.09041643934398635) q[3];
rx(1.2353766683051313) 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": []} | [
"IIIIZIIZ",
"IIIIZZII",
"IIIIIZZI",
"IIZIIIZI",
"IZIIZIII",
"IZIIIIZI",
"IZZIIIII",
"ZIIIIZII",
"ZIIIIIZI",
"ZIZIIIII",
"ZZIIIIII",
"IIIZIZII",
"ZIIZIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"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,
0.5,
-1,
0,
-1.5,
-1.5,
-1,
-1.5,
-2,
-0.5
] | 0.972236 | [
0.34289609406551,
-0.027342094118978172,
0.2791855742714723,
0.16351749495463294,
-0.12775909420806103,
0.5655282087931531,
1.425670450274573,
-0.06899007712727001,
1.2353766683051313,
-0.03915149989034655,
1.5541621822033076,
0.023058157178951016,
0.06786506138385116,
0.40388925519499425,... | {
"n_parameters": 43,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 20 |
b537d46c95ff0b70fb1b318ff43c65b2 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [44, 46], "expectation_value": -5.067057207348913, "params": [-0.008700000000000001, 0.4606, -0.0051, 0.46780000000000005, 0.0022, 0.6393, 0.0034000000000000002, 0.6397, 0.7815000000000001, 0.0026000000000000003, 0.7814, 0.1087, -0.0027, 0.6182000000000001, -0.0018000000000000002, 0.6252, 0.7889, -0.00120000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + -1.5 * Z(6) + -0.5 * Z(2) + -1.5 * Z... | 7 | 8 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["11010001", "10110010"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.15978935857190418) q[0];
rz(0.04183746376563846) q[0];
rx(0.02014433328723698) q[1];
rz(0.9600781039094102) q[1];
cx q[1], q[0];
rz(0.3153657779836531) q[0];
cx q[1], q[0];
rz(-1.5505991683593834) q[0];
ry(0.005481712267576136) q[0];
rz(2.5293361174297857) 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": []} | [
"IIIIIIZZ",
"IIZIIIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIZIZIII",
"IZIIZIII",
"ZZIIIIII",
"ZIIIIZII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIZIII",
"ZIIIIIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-0.5,
-1.5,
-0.5,
-1.5,
-0.5,
0
] | 0.977857 | [
0.15978935857190424,
0.35720324174929163,
0.02014433328723698,
0.9600781039094102,
0.8918453562911983,
-0.005525352867119693,
0.014824547547900552,
0.677666241155658,
0.6236648643432651,
-0.00668058085249227,
0.811199998289983,
0.7235848722553613,
-0.07783395727200332,
-0.02496954650198722... | {
"n_parameters": 74,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 5 |
9a3a3414616c79e03b68e777bcdd167d | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "... | {"states": [3871, 3967], "expectation_value": -0.6030260765838156, "params": [[0.0472], [-0.0413]], "bitstrings": ["000011100000", "000010000000"], "total_optimization_steps": 10, "probabilities": [0.00031937435234438266, 0.0003217730457273389], "optimization_time": 2.6215133666992188} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(11) @ Z(8)) + -2.5 * (Z(11) @ Z(7)) + 0.5 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(11)) + 0.5 * (Z(10) @ Z(7)) + ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-21.5, -21.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -20.5, "smallest_bitstrings": ["000010000000", "000011100000"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-2.7059197056501088) q[0];
rz(0.6705925958397467) q[0];
ry(-0.2983950090605407) q[1];
rz(-0.782067219925759) q[1];
cx q[1], q[0];
ry(-0.09877066103219537) q[1];
rz(-0.21641383901910186) q[1];
ry(-0.17546311135116924) q[2];
rz(1.2478121654705001) q[2];
ry(3.117382607... | 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[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIIIZZIIII",
"IIIIIZZIIIII",
"IIIZZIIIIIII",
"ZIIZIIIIIIII",
"ZIIIZIIIIIII",
"IIZIZIIIIIII",
"ZIZIIIIIIIII",
"IZIIZIIIIIII",
"ZZIIIIIIIIII",
"IZZIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIII... | [
-2,
-2,
0.5,
-2,
0.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
-2.5,
0.5,
-2,
0.5,
-2,
-1.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.971261 | [
-2.7059197056501088,
0.6705925958397467,
-0.2983950090605407,
-0.782067219925759,
-0.17546311135116924,
1.2478121654705001,
3.1173826077478917,
-1.3580980626198436,
0.08229142787605355,
1.9911028461015787,
-0.03494623706655002,
0.24286481131163432,
0.49601503451113355,
0.9175346163789286,
... | {
"n_parameters": 38,
"n_qubits": 12,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 11 |
75e38f85452ebc08ee898a0ac8b18be5 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target"... | {"states": [252, 126], "expectation_value": -1.952027494355063, "params": null, "bitstrings": ["100000011", "110000001"], "total_optimization_steps": 78, "probabilities": [0.11524148036605318, 0.4593589650678186], "optimization_time": 235.66005611419678} | 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)) + 0.125 * (Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 21, "first_excited_energy": -1.375, "smallest_bitstrings": ["000100110", "100000110", "0001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-1.5895904143898432) q[0];
ry(-0.061831462572773416) q[1];
rz(-pi) q[1];
ry(-3.1211665634162276) q[2];
rz(-pi) q[2];
ry(-0.05067198498523348) q[3];
rz(-pi) q[3];
h q[4];
ry(1.4339466124722804) q[4];
cx q[4], q[3];
ry(0.12544642904227837) q[3];
cx q[4], q[3];
... | 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(1.0342) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIZZIIIZ",
"IIZIZIIIZ",
"IIZZIIIIZ",
"IIZZZIIII",
"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.... | 0.997795 | [
-1.5895904143898432,
-1.4880487849715875,
-1.3946779127673847,
1.4339466124722804,
-0.25089285808455675,
0.23284724829810097,
0.08137959326879629,
-0.04183215850107143
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
d41e3eacf3834dd0b9753433ef423092 | 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": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target":... | {"states": [509, 508], "expectation_value": -25.006842027945357, "params": [[[-0.0024000000000000002, 2.7142], [-0.0027, -0.0023], [-0.0036000000000000003, -0.003], [-0.0031000000000000003, -0.0031000000000000003], [0.002, -0.0024000000000000002], [-0.0021000000000000003, -0.0019], [-0.0022, 0.0021000000000000003], [1.... | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + -3.0 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(6)) + -2.5 * (Z(3) @ Z(1)) + 1.5 * (Z(4) @ Z(6)) + -2.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(6)) + -2.5 * (Z(5) @ Z(1)) + 1.5... | 15 | 9 | 1 | {"smallest_eigenvalues": [-26.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.0, "smallest_bitstrings": ["000000011"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.793796357013214) q[0];
h q[1];
ry(0.8029358546676116) q[1];
h q[2];
ry(0.793796357013214) q[2];
h q[3];
ry(0.7139786636024608) q[3];
h q[4];
ry(0.7166592249214208) q[4];
h q[5];
h q[6];
ry(0.793796357013214) q[6];
cx q[5], q[6];
ry(-0.793796357013214) 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] 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": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIZIIIZII",
"IIZIIIIIZ",
"IIIIIIIZZ",
"IIZIIIIZI",
"IIIIIZIIZ",
"IIZIIZIII",
"IIIIIZIZI",
"IIZIZIIII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIIIZ",
"IIZZIIIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIIIZI",
"... | [
-1.5,
0.5,
-3,
0.5,
-3,
0.5,
-3,
-2.5,
1.5,
-2.5,
-2.5,
0.5,
-3,
-2.5,
1.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.931101 | [
1.587592714026428,
1.6058717093352233,
1.4279573272049215,
1.4333184498428415,
0.7901196319267348,
-2.1071227919196307,
1.3216353747902008,
1.3697170830326755,
-0.42215394475013807,
-0.14736119960873412,
-0.9487736068054605,
-0.39048808465013907,
0.48382920502432164,
-0.017257197969548905,... | {
"n_parameters": 67,
"n_qubits": 9,
"optimal_eigenvalue": -26,
"target_ratio": 0.97,
"target_value": -25.22
} | 500 |
7213bcdac492d012065ef417f31c81b5 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 7}, {"weight": 11, "source": 0, "target": 3}, {"weight": 8, "source": 2, "targ... | {"states": [250, 220], "expectation_value": -46.06596461517641, "params": null, "bitstrings": ["100000101", "100100011"], "total_optimization_steps": 100, "probabilities": [0.09568347035152093, 0.25239527285272545], "optimization_time": 206.42032074928284} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-81.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 165.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.20340396474871564) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.20340396474871564) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.20340396474871564) q[1];
cx q[0], q[1];
rz(0.5775232461541333) q[0];
rx(0.06917124980124593) q[0];
h q[3];... | null | {"matching": "perfect", "extra": "{\"n\": 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(3.0513) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10.5,
2.5,
19,
13,
12,
15,
21.5,
-2,
6
] | 0.97222 | [
0.20340396474871564,
-0.3067038430799865,
0.5775232461541325,
-1.6381325054182243,
-0.4463172640294553,
-1.5867492627759474,
-1.750354489443055,
-1.983169579287282,
0.5800697346675281,
0.09245405732541026,
0.06917124980124599,
0.22803559221962097,
-0.40505351954549285,
0.10795793888031349,... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -81,
"target_ratio": 0.97,
"target_value": -78.57
} | 70 |
f9bee249f44c25e9cf092d52cb18e2af | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 6}, {"weight": 12, "source": 1, "target": 5}, {"weight": 15, "sourc... | {"states": [490, 234], "expectation_value": -67.67366295659582, "params": [0.1885, 0.10200000000000001, 0.1879, 0.09620000000000001, 0.389, -0.0155, 0.3975, -0.0206, 0.39730000000000004, 0.0172, 0.3966, 0.0159, 0.38770000000000004, -0.0091, 0.3942, -0.015600000000000001, 0.0056, 0.22940000000000002, 0.0032, 0.2564, 0.3... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(7)) + 15.5 * Z(1) ... | 5 | 9 | 4 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 171.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(2.1834866315992185) q[0];
ry(0.28348127742607304) q[0];
rz(-1.1359164064152871) q[0];
rz(0.184861908511734) q[1];
ry(2.9219910892200622) q[1];
rz(-2.9054799216026126) q[1];
rz(-2.226233043282372) q[2];
ry(2.987959282107838) q[2];
rz(1.4187598235609062) q[2];
rz(2.011... | 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": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIZZIIII",
"IIZIIIZII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIIIZII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
15.5,
9,
22.5,
16,
2,
-3.5,
5,
22,
10
] | 0.971227 | [
0.010539211654694763,
0.6341529060025493,
1.739486642281003,
-0.22047974125973435,
1.7618477553055107,
0.09362907027569467,
1.6384167748752243,
0.16865810162217929,
0.062246327814559854,
0.5565107899327164,
-0.08212885008150264,
0.4595154859835038,
0.09410734705296069,
-0.6202825391766212,... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -56.5,
"target_ratio": 0.97,
"target_value": -54.805
} | 14 |
b993a5a7e57c18bd4205eb03339dcbdb | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [359, 355], "expectation_value": -6.089491235992701, "params": [-0.44830000000000003, -0.001, 0.3629, 0.0097, 0.49250000000000005, 0.0027, -0.4001, 0.0049, 0.6881, 0.0036000000000000003, -0.6814, 0.0054, 0.8086, -0.0019, 0.8043, 0.0068000000000000005, 0.4169, -0.006200000000000001, -0.2838, 0.0046, 0.8076, -... | 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(4) @ Z(9)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(3)) + -0.5 * (Z(10) @ Z(4)) + 0.5 * (Z(11) @ Z(9)) + 0... | 6 | 12 | 1 | {"smallest_eigenvalues": [-9.999999999999998, -9.999999999999998], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.666666666666666, "smallest_bitstrings": ["111010011100", "111000011000"], "largest_eigenvalue": 29.666666666666664} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(-0.7539683417504123) q[0];
h q[1];
ry(-0.7849190935755255) q[1];
ry(-0.5117930615902674) q[2];
rz(-pi) q[2];
h q[3];
ry(0.8027330867228042) q[3];
h q[4];
h q[5];
ry(0.6610369723445622) q[5];
h q[6];
ry(1.6427196587087884) q[6];
cx q[6], q[3];
ry(-0.802733086... | OPENQASM 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": []} | [
"IIZIIIZIIIII",
"IIZIIZIIIIII",
"IIIIIZZIIIII",
"IIZIIIIIZIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIZIIIIZIIII",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIIIZZIII",
"IZZIIIIIIIII",
"IZIIIIIIZIII",
"IZIIIIIZIIII",
"ZIZIIIIIIIII",
"ZIIIIIIIZIII",
"ZIIIIIIZIIII",
"ZZIIIIIIIIII",
"IIIIIIZII... | [
0.5,
0.5,
1,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
1,
-0.5,
-0.5,
-0.5,
-0.5,
0.33333333333333337,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
1.5,
1.5,
1.5,
1,
-1.5,
2.5,
2.5,
-1.333333333333333,
-1.... | 0.994326 | [
1.6427196587087884,
-1.569838187151051,
1.428071510041552,
1.6054661734456084,
-1.5079366835008245,
-1.479467181204076,
1.0509882011382135,
1.3220739446891243,
-1.3407671105792736,
-0.8743627779952217,
-0.15137910993803103,
-0.36928097441881536,
-0.04643846630258572,
0.18962590822056274,
... | {
"n_parameters": 36,
"n_qubits": 12,
"optimal_eigenvalue": -9.999999999999998,
"target_ratio": 0.97,
"target_value": -9.699999999999998
} | 1 |
8ccb61531a0518dab46daa7987f55ae4 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target":... | {"states": [7, 455], "expectation_value": -16.690092870094336, "params": [-0.0026000000000000003, -0.2091, 0.0025, 0.38330000000000003, -1.6227, -0.0, 0.0025, 0.010400000000000001, 0.0024000000000000002, 0.012, 0.0023, 0.9632000000000001, 0.0026000000000000003, 0.3254, 0.0022, -0.4566, -1.6458000000000002, 0.0089, 3.13... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -1.5 * Z(4) + -1.5 * Z(3) + -1.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z... | 4 | 9 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["000111000"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.996593178178558) q[0];
h q[1];
h q[2];
ry(0.5888832353507985) q[2];
cx q[1], q[2];
ry(-0.5888832353507985) q[2];
cx q[1], q[2];
cx q[2], q[0];
ry(-0.996593178178558) q[0];
cx q[2], q[0];
ry(-0.6875011369209832) q[1];
cx q[0], q[1];
ry(0.6875011369209832) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"IZZIIIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
-1.5,
-1.5,
-1.5,
-2,
1,
-2,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5
] | 0.959988 | [
-1.573475623927345,
-1.5745368026595388,
1.177766470701597,
1.993186356357116,
-1.3750022738419665,
0.7869126081971946,
-0.26281594791650864,
-0.7899417559689463,
-0.024631791748175664,
-0.08767859512836484,
2.4583506114253013,
0.020494138931016335,
-0.013105036148354052,
-0.01474806033721... | {
"n_parameters": 28,
"n_qubits": 9,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 500 |
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": [17, 20], "expectation_value": -0.5342904083054252, "params": [[0.07350000000000001, 0.0733, 0.0648, 0.0592], [-0.0702, -0.0722, -0.0587, -0.0516]], "bitstrings": ["01110", "01011"], "total_optimization_steps": 10, "probabilities": [0.04985234709936551, 0.04985234709936552], "optimization_time": 3.9371623992... | 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 | 4 | {"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] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"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 |
9c58c5b77a3170e613a26f379fffeef6 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [109, 110], "expectation_value": -2.9952854066618197, "params": null, "bitstrings": ["10010010", "10010001"], "total_optimization_steps": 54, "probabilities": [0.07769502901641709, 0.7755989784923617], "optimization_time": 88.64602494239807} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(0) @ Z(5)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-3.375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.375, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.30035957140227065) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.30035957140227065) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.30035957140227065) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.30035957140227065) q[3];
cx q[1], ... | 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(-1.5158) 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",
"IIIIIZZI",
"IIIIIZZZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIZZIIII",
"IIZZIIIZ",
"IIIIZIZI",
"IIIZIIZI",
"IZIIIIZI",
"IIIZZIII",
"IZIIZIII",
"IZIZIIII",
"IIIZZIZI",
"IZIIZIZI",
"IZIZIIZI",
"IZIZZIII",
"IZIZZIZI",
"IIZIIZII",
"ZIIIIZII",
"ZIZIIIII",
"ZIZIIZI... | [
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,
0.5,
0,
0.125,
0,
-0.625,
0.125,
0,
-0.125,
-0.25
] | 0.970623 | [
-0.30035957140227065,
1.1368758079646883,
-1.8923990284899774,
1.0436850348571591,
1.415620980349364,
-0.5091827167950427,
1.4790986719477293,
0.8820371628830349,
0.46473221419256594,
-0.15090594742638722,
0.055618018346008394,
0.32882508347878925,
-0.3312498441524585,
-0.09748772199396417... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 54 |
5244847474872220778 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 2, 4], [8, 4], [0, 1, 2, 3, 6], [0, 2, 7], [3, 6, 7], [9, 7], [5, 7], [0, 2, 3, 8, 9], [0, 2, 3, 5], [0, 1, 2, 5], [0, 1, 6, 8, 9], [9, 5, 6], [1, 7], [1, 2, 3, 4, 6], [0, 9, 2, 5], [0, 3, 7], [0, 1, 3, 8, 9], [0, 3, 5, 8, 9], [0, 1, 2, 9]]} | {"states": [1017, 889], "expectation_value": -4.084105509632029, "params": [1.3876000000000002, 0.07, 1.3827, 0.0031000000000000003, 1.3925, 0.0641, 1.3956000000000002, 0.004, 1.1046, -0.217, 0.931, 0.0014, 1.3874, 0.0616, 1.3876000000000002, 0.004, 1.3976000000000002, 0.0742, 1.3907, 0.0056, 1.3819000000000001, 0.0775... | 0.3833333333333333 * (Z(9) @ Z(2)) + 0.21666666666666667 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(9)) + 0.05 * (Z(8) @ Z(2)) + 0.2 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(4)) + 0.6 * (Z(0) @ Z(2)) + 0.36666666666666664 * (Z(0) @ Z(9)) + 0.2 * (Z(0) @ Z(8)) + 0.26666666666666666 * (Z(1) @ Z(2)) + 0.18333333333333335 ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-5.200000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.199999999999999, "smallest_bitstrings": ["0010000110"], "largest_eigenvalue": 17.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.8359219900770227) q[0];
rz(1.6031182804461386) q[0];
rx(1.7114060426578686) q[1];
rz(1.4969249483602596) q[1];
rx(0.7848422988657533) q[2];
rz(1.5361889960255972) q[2];
rx(1.5513675025547002) q[3];
rz(1.6971154460536884) q[3];
rx(1.5189949402182912) q[4];
rz(1.470... | OPENQASM 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": []} | [
"ZIIIIIIZII",
"IIIIIZIZII",
"ZIIIIZIIII",
"IZIIIIIZII",
"ZZIIIIIIII",
"IZIIIZIIII",
"IIIIIIIZIZ",
"ZIIIIIIIIZ",
"IZIIIIIIIZ",
"IIIIIIIZZI",
"ZIIIIIIIZI",
"IIIIIZIIZI",
"IZIIIIIIZI",
"IIIIIIIIZZ",
"IIIIIIZZII",
"ZIIIIIZIII",
"IIIIIZZIII",
"IZIIIIZIII",
"IIIIIIZIIZ",
"IIIIIIZIZI"... | [
0.3833333333333333,
0.21666666666666667,
0.16666666666666666,
0.05,
0.2,
0.5,
0.6,
0.36666666666666664,
0.2,
0.26666666666666666,
0.18333333333333335,
0.05,
0.1,
0.31666666666666665,
0.23333333333333334,
0.15000000000000002,
0.05,
0.15000000000000002,
0.44999999999999996,
0.150... | 0.9704 | [
1.835921990077023,
0.03232195365124195,
1.7114060426578683,
-0.07387137843463673,
0.7848422988657534,
-0.03460733076929964,
1.5513675025547002,
0.12631911925879213,
1.5189949402182912,
-0.09999750714256478,
1.43255043151436,
0.15405522736023453,
1.1779087454994064,
0.5028898089506969,
0.... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -5.200000000000001,
"target_ratio": 0.97,
"target_value": -5.0440000000000005
} | 74 |
ed46de376d1660326c9e503ea9950a07 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [65, 3], "expectation_value": -13.719773328639574, "params": [[0.047, 0.020300000000000002], [-0.08170000000000001, -0.0704]], "bitstrings": ["0111110", "1111100"], "total_optimization_steps": 10, "probabilities": [0.018158808237055388, 0.01979314009611477], "optimization_time": 4.330473899841309} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 18 | 7 | 2 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.06885345192683487) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.06885345192683487) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.06885345192683487) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.06885345192683487) 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[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
-10,
-10,
-10.5,
-10,
-10,
-9.25,
-9.25
] | 0.975493 | [
0.06885345192683487,
0.22761518371396905,
1.6693107203407738,
1.8112030378322537,
-0.6694555841207032,
0.46345917959819155,
-0.0049250157682909634,
-0.1730709160346522,
0.046383083187558294,
-0.13700343575253615,
-0.6684023739074303,
1.0372311699561239,
0.5016828164711846,
0.47691842854795... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -31,
"target_ratio": 0.97,
"target_value": -30.07
} | 39 |
abfc65dd279c9be0771666a7af1df613 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 8}, {"capac... | {"states": [512, 1], "expectation_value": -19.861328366155988, "params": null, "bitstrings": ["0111111111", "1111111110"], "total_optimization_steps": 32, "probabilities": [0.15439554960726937, 0.8264426054076872], "optimization_time": 49.33715343475342} | -1.0 * (Z(0) @ Z(3)) + -1.0 * (Z(4) @ Z(0)) + -0.25 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(8)) + -2.0 * (Z(6) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(8)) + -0.75 * (Z(2) @ Z(6)) + -1.0 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(8)) + -1.25 * (Z(7)... | 1 | 10 | 1 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.25, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 21.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.1260106905375708) q[0];
rz(1.2269505887297782) q[0];
rx(-0.032781407794859226) q[1];
rz(1.4555254797270045) q[1];
rx(0.09002791400272736) q[2];
rz(1.7416567657170106) q[2];
rx(0.09002791400272736) q[3];
rz(1.562394217848576) q[3];
rx(-0.05076418060284001) q[4];
rz... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5... | [
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IZIIIIIIIZ",
"IIIIIZIIZI",
"IIIZIIZIII",
"IZIZIIIIII",
"IIIZIIIIZI",
"IIIIIIZZII",
"IIIIIZIZII",
"IZIIIIIZII",
"IIIZIIIZII",
"IIZIIIZIII",
"IZZIIIIIII",
"IIZZIIIIII",
"IIZIIIIZII",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"IIIIZIZIII",
"IIIIZZIIII",
"IZIIZIIIII"... | [
-1,
-1,
-0.25,
-0.75,
-0.75,
-0.75,
-2,
-0.75,
-0.5,
-0.25,
-0.75,
-1,
-0.75,
-1.25,
-1.25,
2.5,
-0.5,
-0.25,
-0.5,
-0.5,
-1,
-2.25,
-0.25,
-0.25,
-1.5,
-2.25,
0,
1.5,
1.75,
2,
1.25
] | 0.97766 | [
0.12601069053757077,
-0.343845738065118,
-0.032781407794859226,
-0.11527084706789281,
0.09002791400272736,
0.17086043892211386,
-0.00840210894632093,
-0.05076418060284002,
-0.050512163613706695,
-0.10793377348105372,
-0.45013316931256986,
-0.1058275480754595,
-0.1358604643187617,
0.0609342... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -21.25,
"target_ratio": 0.97,
"target_value": -20.6125
} | 7 |
8b9699e184b2dee4b86c87a62e9c7e5c | 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": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, ... | {"states": [0, 1], "expectation_value": -9.037032181056668, "params": [[[-0.0032, 0.007500000000000001], [0.0025, 0.0005], [0.0023, 0.0029000000000000002], [0.0024000000000000002, 0.0006000000000000001], [0.0023, 0.0001], [0.0027, 0.0098], [0.0023, 0.0018000000000000002], [1.6079, 0.0058000000000000005]]], "bitstrings"... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(3)) + -0.25 * (Z(7) @ Z(1)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.0844300752616571) q[0];
rz(2.1139387912759435) q[0];
rx(-0.1498790866820462) q[1];
rz(2.0836137185059904) q[1];
rx(0.057079340349078155) q[2];
rz(1.904948933670651) q[2];
rx(0.06516424781021761) q[3];
rz(2.045016475467456) q[3];
rx(0.05617938885140029) 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] 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... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIZIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIZIII",
"IIIZIIZI",
"IIIZZIII",
"IIIIIZZI",
"IIIIZZII",
"IIIZIZII",
"IIZIIIZI",
"IIZIZIII",
"IZZIIIII",
"ZIZIIIII",
"IIZIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IZIIIII... | [
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
-0.25,
1.5,
-0.5,
-0.75,
-0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.75,
-0.5,
-0.25,
-1,
-2,
-0.25,
0.75,
0.75,
0.5,
-0.5,
0.25,
0.5
] | 0.977946 | [
-0.0844300752616571,
0.5431424644810464,
-0.1498790866820462,
0.5128173917110932,
0.05707934034907815,
0.3341526068757544,
0.06516424781021762,
0.4742201486725591,
0.0561793888514003,
0.30027713590591465,
-0.019864683485527335,
0.4609679127881336,
0.03382695698344525,
0.3864669591794765,
... | {
"n_parameters": 58,
"n_qubits": 8,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 4 |
abebab5175d0d0d89bf916154d0e1360 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [311, 190], "expectation_value": -0.1777067727528618, "params": [[0.0704, 0.0789], [-0.0507, -0.07400000000000001]], "bitstrings": ["011001000", "101000001"], "total_optimization_steps": 10, "probabilities": [0.0028408578051010124, 0.0028415277753374266], "optimization_time": 11.467004537582397} | 0.5 * (Z(0) @ Z(1)) + 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)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(0) @ Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(8) @ Z(3)) + 0.25 * (Z(8) @ Z(5)) + -0.25 *... | 1 | 9 | 2 | {"smallest_eigenvalues": [-3.3125, -3.3125, -3.3125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.3125, "smallest_bitstrings": ["011001000", "100100010", "101000001"], "largest_eigenvalue": 5.6875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-3.0276657592090853e-08) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-3.0276657592090853e-08) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[4];
rz(-3.0276657592090853e-08) q[4];
cx q[2], q[4];
rz(1.5707962011... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIIZZZII",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIZZIIIII",
"IIZZIIIIZ",
"IZIIIIZII",
"IIIZIZIII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIIZIZIII",
"IIIIZIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IIZIZIIII",
"IZIIZIIII",
"ZIIIZIIII",
"... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.0625,
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,
-0.0... | 0.777778 | [
-3.0276657592090853e-8,
1.5707962011345744,
-1.5707963261737141,
1.5707962746941437,
1.570796338750851
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 149 |
8448130467815427345 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[5, 6], [0, 1, 2, 3, 5], [1, 2, 4], [1, 6, 7], [0, 1, 4, 5], [1, 3, 4, 5], [1, 2, 5, 7]]} | {"states": [205, 77], "expectation_value": -1.824313166574322, "params": null, "bitstrings": ["00110010", "10110010"], "total_optimization_steps": 51, "probabilities": [0.2672763235516098, 0.5254531367791095], "optimization_time": 75.21194696426392} | 0.5 * (Z(5) @ Z(6)) + 0.13333333333333333 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.3 * (Z(1) @ Z(5)) + 0.13333333333333333 * (Z(1) @ Z(0)) + 0.13333333333333333 * (Z(2) @ Z(5)) + 0.05 * (Z(2) @ Z(0)) + 0.3 * (Z(2) @ Z(1)) + 0.13333333333333333 * (Z(3) @ Z(5)) + 0.05 * (Z(3) @ Z(0)) + 0.1333333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.9166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8666666666666665, "smallest_bitstrings": ["10110010"], "largest_eigenvalue": 6.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(1.6447293205196876) q[1];
h q[2];
ry(-0.3503332016518974) q[2];
h q[3];
ry(-0.08609307830401397) q[3];
h q[4];
cx q[4], q[2];
ry(0.3503332016518974) q[2];
cx q[4], q[2];
ry(-0.13059597788985766) q[2];
ry(0.4698932676490899) q[4];
h q[5];
h q[6];
ry(-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(1.5567) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IZZIIIII",
"IIZIIIIZ",
"IZIIIIZI",
"IIZIIIZI",
"IIIIIIZZ",
"IIZIIZII",
"IIIIIZIZ",
"IIIIIZZI",
"IIZIZIII",
"IIIIZIIZ",
"IIIIZIZI",
"IIIIZZII",
"IIZZIIII",
"IIIZIIIZ",
"IIIZIIZI",
"IIIZIZII",
"IIIZZIII",
"ZZIIIIII",
"ZIZIIIII",
"ZIIIIIZI",
"ZIIIIZII",
"IZIIIIII",
"IIZIIII... | [
0.5,
0.13333333333333333,
0.16666666666666666,
0.3,
0.13333333333333333,
0.13333333333333333,
0.05,
0.3,
0.13333333333333333,
0.05,
0.13333333333333333,
0.05,
0.16666666666666666,
0.08333333333333333,
0.3333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666... | 0.970134 | [
1.6447293205196876,
-0.6285241050910897,
1.0479257843561287,
-0.679747321422635,
0.4679282485016442,
-0.6569592552745184,
0.5199516150113228,
-0.7006664033037948,
0.37030691017506245,
-0.2611919557797153,
0.3334312830365058,
0.2681579883139637,
-0.18066833209305844,
0.20456130624841332,
... | {
"n_parameters": 47,
"n_qubits": 8,
"optimal_eigenvalue": -1.9166666666666667,
"target_ratio": 0.97,
"target_value": -1.8591666666666666
} | 8 |
dcaf4af6d02916eda9058c67c3edc444 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 3, "source": 0, "target": 9}, {"capac... | {"states": [0, 509], "expectation_value": -8.682799499199024, "params": [[[-0.0629, 0.6085], [-0.404, -0.2909], [0.0013000000000000002, 0.1228], [0.0024000000000000002, -0.0035], [0.0027, 0.0022], [0.0027, 0.0037], [-0.0015, 0.0034000000000000002], [0.0021000000000000003, -0.0031000000000000003], [-0.099, -0.0511], [-0... | -0.25 * (Z(0) @ Z(3)) + -0.75 * (Z(8) @ Z(0)) + 1.25 * (Z(9) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(8)) + -0.5 * (Z(1) @ Z(9)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(9)) + -0.75 * (Z(7) @ Z(5)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(4)... | 15 | 10 | 3 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1000000010"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.2583719469822462) q[0];
ry(0.1214584341336278) q[1];
ry(-0.11405070225711955) q[2];
ry(0.007749429381486442) q[3];
ry(0.04055674176130558) q[4];
ry(0.018861097006415632) q[5];
ry(0.029622352821727087) q[6];
ry(-0.06075281599518138) q[7];
ry(0.4612964240856349) 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": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IZIIIIIIIZ",
"ZIIIIIIIIZ",
"IIIIIIZIZI",
"IZIIIIIIZI",
"ZIIIIIIIZI",
"IIIIZIZIII",
"IZIIZIIIII",
"IIIIZIIIZI",
"IIZIIIZIII",
"ZIZIIIIIII",
"IIZIZIIIII",
"IIZIIIIZII",
"IIIIIZZIII",
"IIIIZZIIII",
"IIZZIIIIII",
"IIIIIIZIII",
"IIIIIIIIIZ",
"IZIIIIIIII",
"ZIIIIIIIII"... | [
-0.25,
-0.75,
1.25,
-0.75,
-0.25,
-0.5,
-0.5,
-0.75,
-0.5,
-0.75,
-0.25,
-0.75,
-0.25,
-0.5,
-0.25,
-0.75,
-0.25,
-0.25,
-1.75,
0.5,
0.5,
0.75,
-0.75,
0.25,
0.25,
0.75
] | 0.972633 | [
-0.2583719469822462,
0.1214584341336278,
-0.11405070225711955,
0.007749429381486442,
0.04055674176130558,
0.018861097006415632,
0.029622352821727087,
-0.06075281599518138,
0.4612964240856349,
-0.14543332744390813,
-0.7626728996111274,
-0.3415854265309427,
-0.006583397971209963,
0.052111512... | {
"n_parameters": 69,
"n_qubits": 10,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 82 |
53fd70b7ce4659cd92d050c8100f2208 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "s... | {"states": [119, 255], "expectation_value": -5.244644214570055, "params": null, "bitstrings": ["110001000", "100000000"], "total_optimization_steps": 90, "probabilities": [0.20272249624966215, 0.7922762665124301], "optimization_time": 174.95294952392578} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(4)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -0.25 * (Z(8) @ Z(5)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(3) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000000", "110001000", "110011010", "110001010"], "largest_eigenvalue": 7.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.5267410352110884) q[0];
ry(-0.018411074281451327) q[1];
ry(0.061345513159529685) q[2];
ry(0.12378231600340234) q[3];
ry(0.05503933711780036) q[4];
ry(0.05503933711780036) q[5];
ry(0.201229846662569) q[6];
ry(3.0995729660329405) q[7];
ry(-0.032345481155606745) 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(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] = m... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIZIIIZI",
"IIIIZIZII",
"IIZIIIZII",
"IZIIIIIZI",
"IZIIIIZII",
"IZIIZIIII",
"ZIIIIIIIZ",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"IIZIIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
1,
-0.5,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
1.75,
-0.25,
0.25,
-0.5,
-0.5,
0,
0.25
] | 0.976819 | [
-0.5267410352110884,
-0.018411074281451327,
0.061345513159529685,
0.12378231600340234,
0.05503933711780036,
0.201229846662569,
3.0995729660329405,
-0.032345481155606745,
0.049081024684180574,
2.9982730693702533,
0.04592498520239981,
-0.051125946594220956,
0.012814314600203214,
-0.193557483... | {
"n_parameters": 15,
"n_qubits": 9,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 35 |
7088493197993040929 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 6], [1, 4], [3, 5], [1, 5], [2, 4], [2, 5], [2, 6]]} | {"states": [7, 120], "expectation_value": -0.058817215805108264, "params": [[-0.061200000000000004], [0.0698]], "bitstrings": ["1111000", "0000111"], "total_optimization_steps": 10, "probabilities": [0.008762949021033506, 0.008762949021033506], "optimization_time": 0.47312188148498535} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["0000111", "1111000"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[1];
rz(-0.7563956097446645) q[1];
cx q[4], q[1];
h q[5];
cx q[1], q[5];
rz(-0.7563956097446645) q[5];
cx q[1], q[5];
rz(-2.0906135045350993e-08) q[1];
rx(0.7853981242102575) q[1];
cx q[5], q[3];
rz(-0.7563956097446645) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(x0) q[0];
cx q[6], q[0];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[1], q[5];
rz(x0) q[5];
cx q[1], q[5];
cx q[5], q[3];
... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZ",
"IIZIIZI",
"IZIIIZI",
"IZIZIII",
"ZIIIZII",
"IIZIZII",
"IZIIZII",
"ZIIIIII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"IIIZIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.46756 | [
-0.7563956097446645,
-2.090613501477992e-8,
0.7853981242102573
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 109 |
348c13052b9cd507aa792296e385f0a4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2... | {"states": [3, 1], "expectation_value": -1.8487835766038252, "params": [[0.0507, 0.0629, 0.0698, 0.07440000000000001], [-0.0118, -0.0425, -0.054900000000000004, -0.059000000000000004]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.022905841375989642, 0.026168746144262678], "... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.75 * Z(2) + 1.5 * Z(6) + -1.0 * Z(3) + -0.5 * Z(4) + -0.25 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.06478935654218318) q[0];
rz(0.010473094700834906) q[0];
rx(-0.21029945099044114) q[1];
rz(0.36193904458961335) q[1];
rx(-0.12407138095515016) q[2];
rz(0.046088532858524545) q[2];
rx(0.1874119633339978) q[3];
rz(0.35704809683533245) q[3];
rx(-0.0838195345979585) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIIZIII",
"IIZIIII",
"IZIIIII"
] | [
-1,
-1,
-0.75,
-0.5,
2,
-1,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
0.75,
1.5,
-1,
-0.5,
-0.25
] | 0.979758 | [
0.06478935654218318,
0.20218073164039307,
-0.21029945099044114,
0.4704675727431508,
-0.12407138095515018,
0.33009272048242233,
0.18741196333399776,
0.12867352073879185,
-0.08381953459795849,
-0.28813328048276804,
0.29408685795202144,
-0.42763869643912095,
0.9971024611824714,
0.068911216138... | {
"n_parameters": 52,
"n_qubits": 7,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 8 |
5443717092947875189 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 4], [4, 7], [4, 6], [2, 5], [6, 7], [5, 6], [0, 1, 2], [0, 2, 6], [2, 3], [3, 5]]} | {"states": [218, 165], "expectation_value": -0.12336091219444457, "params": [[0.07830000000000001], [-0.0862]], "bitstrings": ["00100101", "01011010"], "total_optimization_steps": 10, "probabilities": [0.0044472187204365006, 0.004447945150065832], "optimization_time": 2.211134672164917} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.6666666666666665, -2.6666666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.666666666666666, "smallest_bitstrings": ["00100101", "01011010"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(0.5501109100244991) q[2];
cx q[4], q[2];
h q[5];
h q[6];
h q[7];
cx q[4], q[7];
rz(0.5501109100244991) q[7];
cx q[4], q[7];
cx q[4], q[6];
rz(0.5501109100244991) q[6];
cx q[4], q[6];
cx q[2], q[6];
rz(-0.19087348... | 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[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[4], q[7];
rz(x0) q[7];
cx q[4], q[7];
cx q[4], q... | null | {"circuits": [], "gradients": []} | [
"IIIZIZII",
"ZIIZIIII",
"IZIZIIII",
"IZIIIZII",
"ZZIIIIII",
"IIZIIZII",
"IZZIIIII",
"IIIIIZIZ",
"IZIIIIIZ",
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZZII",
"IIZIZIII",
"IIIZIIII",
"IIIIIZII",
"ZIIIIIII",
"IZIIIIII",
"IIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.16666666666666666,
0.5,
0.5,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0,
0.33333333333333304,
0,
0.16666666666666652,
0,
0.3333333333333333,
0.16666666666666666,
0
] | 0.56518 | [
0.5501109100244991,
0.1780450313361056,
0.5755599038487532,
-0.19087348901626933,
-0.7052939815198007
] | {
"n_parameters": 5,
"n_qubits": 8,
"optimal_eigenvalue": -2.6666666666666665,
"target_ratio": 0.97,
"target_value": -2.5866666666666664
} | 149 |
bb51b85a8f0cca1e878093cb2d4e9f25 | vertex_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": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [3, 7], "expectation_value": -2.6385510616543555, "params": [[[-0.0022, 0.0004], [-0.0034000000000000002, 0.009600000000000001], [1.5018, 0.0063], [1.6225, 0.0058000000000000005], [1.7064000000000001, 0.0047], [1.7096, 0.0034000000000000002]]], "bitstrings": ["111100", "111000"], "total_optimization_steps": ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["111000", "110100"], "largest_eigenvalue": 9.0} | 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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIIZ",
"ZIIIZI",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1,
-1,
0,
0
] | 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 |
5d3a7f0fc0229f8fe840773b48e2ac4d | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [104, 22], "expectation_value": -0.24616316249827086, "params": [[-0.0176, 0.0678], [0.043300000000000005, -0.046900000000000004]], "bitstrings": ["0010111", "1101001"], "total_optimization_steps": 10, "probabilities": [0.008553155443979714, 0.00876785541969111], "optimization_time": 3.879244089126587} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.0 *... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["1101001"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(2.179969583913338) q[0];
rz(0.11735145406740033) q[0];
rx(0.22915332731223137) q[1];
rz(0.12093338548994714) q[1];
rx(-0.14030231468460047) q[2];
rz(0.4356529657934303) q[2];
rx(1.9159090351699462) q[3];
rz(0.13719755422998953) q[3];
rx(1.7271089019613852) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIZIIIZ",
"IZIIIIZ",
"IIIIZZI",
"IIZIIZI",
"IIIZZII",
"IIZZIII",
"IZIZIII",
"IIIZIZI",
"ZIIIZII",
"ZZIIIII",
"ZIIIIZI",
"ZIIZIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"IIIZIII",
"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,
-1.5,
-1,
-1,
-1,
-1.5,
-2,
-1.5
] | 0.970672 | [
2.179969583913338,
0.14716273363616963,
0.22915332731223137,
0.12093338548994714,
-0.14030231468460047,
0.4356529657934303,
1.9159090351699462,
0.13719755422998953,
1.7271089019613852,
-0.008097248472066595,
0.9508664218247079,
-0.05526085517592878,
0.09627329726862041,
0.8842217826949947,... | {
"n_parameters": 75,
"n_qubits": 13,
"optimal_eigenvalue": -3.6875,
"target_ratio": 0.97,
"target_value": -3.576875
} | 65 |
6772526944045849440 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 3], [5, 7], [0, 1], [3, 4], [9, 6], [8, 7]]} | {"states": [643, 691], "expectation_value": -0.16357931264554942, "params": [0.8023, 0.8034, 0.8001, 0.8031, 0.7998000000000001, 0.7958000000000001, 0.793, 0.7925000000000001, 0.7965, 0.7954, 0.7757000000000001, 0.7739, 0.6885, 0.623, 0.7731, 0.7736000000000001, 0.7785000000000001, 0.772, 0.799, 0.8001, 0.7833, 0.774, ... | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(7) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(6) + 0.0 * Z(9) + 0.0 * Z(8) | 14 | 10 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.0, "smallest_bitstrings": ["1010111010", "0101001100", "1001011010", "0110100101", "1001010011", "1001001100", "0110111010", "010101... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.5444333985488758) q[0];
rz(pi/2) q[0];
ry(0.2796826249454664) q[1];
ry(-0.02641877159059236) q[2];
ry(0.6908523581438549) q[3];
ry(0.6711635860854915) q[4];
ry(1.3833396185596532) q[5];
ry(-0.24823999529320034) q[6];
ry(0.042805425828226766) q[7];
ry(1.50962321843... | OPENQASM 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",
"IIZIZIIIII",
"IIIIIIIIZZ",
"IIIIIZZIII",
"ZIIZIIIIII",
"IZZIIIIIII",
"IIIIIIZIII",
"IIIIIIIZII",
"IIZIIIIIII",
"IIIIZIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIZIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.973585 | [
1.5444333985488758,
0.2796826249454664,
-0.02641877159059236,
0.6908523581438549,
0.6711635860854915,
1.3833396185596532,
-0.24823999529320034,
0.042805425828226766,
1.5096232184350784,
2.546318786217935,
1.4173497352872853,
0.2729214189001963,
0.36568179159299946,
0.2977570960880487,
-0... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 56 |
917f40919ed5cce8c36c9746617c7a98 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 2, "source": 2, "target": 3}, {"weight": 19, "source": 2, "target": 6}, {"weight": 19, "source": 2, "targ... | {"states": [241, 124], "expectation_value": -26.748568789374836, "params": [[-0.0328, 0.0048000000000000004], [0.07150000000000001, 0.07200000000000001]], "bitstrings": ["100001110", "110000011"], "total_optimization_steps": 10, "probabilities": [0.006236740327111536, 0.007326621737774165], "optimization_time": 3.94059... | 4.5 * (Z(2) @ Z(5)) + 4.5 * (Z(1) @ Z(5)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-92.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -83.5, "smallest_bitstrings": ["110000011"], "largest_eigenvalue": 208.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.00044453658841897564) q[0];
rz(-0.5788197044321004) q[0];
rx(0.4068324238987415) q[1];
rz(-0.11490205461069954) q[1];
rx(3.211647336478497) q[2];
rz(-0.018285896484799113) q[2];
rx(3.068768369175414) q[3];
rz(0.3240571938421825) q[3];
rx(3.2961556426951257) 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[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIZIIZII",
"IIIZIIIZI",
"IIIIIIZZI",
"IIIZZIIII",
"IIIIZIZII",
"IIIIZIIZI",
"IIIZIZIII",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZZIII",
"IIZIIIIZI",
"IIZIZIIII",
"IZIIIIZII",
"IZIIIZIII",
"ZIIZIIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIZIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIZIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
19.5,
23,
14.5,
27.5,
20,
10,
4.5,
7.5,
-5.5
] | 0.970785 | [
0.0004445365884189756,
-0.6284213388249793,
0.4068324238987415,
-0.11490205461069954,
3.211647336478497,
-0.018285896484799113,
3.068768369175414,
0.3240571938421825,
3.2961556426951257,
0.19379084717326944,
3.00879211742487,
-0.28753631262510954,
3.14958888918463,
-0.12561512912265832,
... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -92.5,
"target_ratio": 0.97,
"target_value": -89.725
} | 12 |
b2c25a19a038d07471a5450910ba4971 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 3}]} | {"states": [2, 3], "expectation_value": -3.9712063553189134, "params": [[[0.198, -0.1676], [0.20400000000000001, -0.1645], [0.1056, -0.1971], [0.4973, 0.0007], [0.4117, 0.016]], [[0.2076, -0.16770000000000002], [0.20980000000000001, -0.1646], [0.0989, -0.1971], [0.4955, 0.0008], [0.4118, 0.016]], [[0.20500000000000002,... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + -2.5 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.5 * Z(4) + -2.25 * Z(3) | 1 | 5 | 4 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.016234704253647998) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-0.010386543699948906) q[1];
h q[2];
h q[3];
ry(1.1585700450953158) q[3];
h q[4];
ry(-0.5085847075913551) q[4];
cx q[2], q[4];
ry(0.5085847075913551) q[4];
cx q[2], q[4];
ry(-0.2519288651435193) q[4];
cx q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"IZIZI",
"IZIIZ",
"IZZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"ZIIII",
"IZIII"
] | [
1.75,
1.75,
1.75,
2,
2,
1.75,
2,
2,
2,
1.75,
-2.5,
-2.5,
-2.75,
-2.5,
-2.25
] | 0.987557 | [
-1.6083798548905424,
-1.580119373751702,
1.1585700450953158,
-1.0171694151827102,
0.8689899356169645,
-0.5038577302870386,
0.5447428831437316,
0.28835851723029476,
-0.27941569527661547,
-0.0021269934862870876,
0.08523768570425198,
-0.12057589076085368,
0.1076364646985875,
0.109842316070757... | {
"n_parameters": 14,
"n_qubits": 5,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
-708269976254587279 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 5], [8, 5], [5, 7], [9, 3], [9, 2], [3, 5], [0, 3], [8, 3], [0, 1], [5, 6], [2, 4]]} | {"states": [460, 563], "expectation_value": -0.041474657097004985, "params": [[-0.0408], [0.0466]], "bitstrings": ["1000110011", "0111001100"], "total_optimization_steps": 10, "probabilities": [0.0010443215943902835, 0.0010443215943902835], "optimization_time": 1.7982282638549805} | 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(9)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(8) + 0.0 * Z(7) + 0.0 * Z(9) + 0.0 * Z(3) + ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0111001110", "0111001100", "1000110011", "1000110001"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[2];
rz(-0.6866919870865316) q[2];
cx q[5], q[2];
h q[6];
h q[7];
h q[8];
cx q[5], q[8];
rz(-0.6866919870865316) q[8];
cx q[5], q[8];
cx q[5], q[7];
rz(-0.6866919870865316) q[7];
cx q[5], q[7];
cx q[5], q[3];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[5], q[2];
rz(x0) q[2];
cx q[5], q[2];
cx q[5], q[8];
rz(x0) q[8];
cx q[5], q[8];
cx q[5], q[7];
rz(x0) q[7];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZII",
"IZIIZIIIII",
"IIZIZIIIII",
"ZIIIIIIZII",
"IIIIZIZIII",
"IZIIIIZIII",
"ZIIIIIZIII",
"IIIIIIZIIZ",
"IIIIIIIIZZ",
"IIIZZIIIII",
"IIIIIZIZII",
"IIIIZIIIII",
"IIIIIIIZII",
"IZIIIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII",
"IIIIIIZIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIZIIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.466699 | [
-0.6866919870865316,
4.377452436323544e-8,
0.7553140075212517
] | {
"n_parameters": 3,
"n_qubits": 10,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 102 |
422319ba04d136ad73513dac1d0065c7 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capaci... | {"states": [1653, 1789], "expectation_value": -8.543395388613492, "params": [[-0.19260000000000002], [0.36100000000000004]], "bitstrings": ["100110001010", "100100000010"], "total_optimization_steps": 40, "probabilities": [0.0032343993275677115, 0.003234399327567712], "optimization_time": 6.911730527877808} | -1.0 * (Z(8) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(8)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(0) @ Z(8)) + -0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-12.875, -12.875, -12.875], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -12.625, "smallest_bitstrings": ["100110001010", "100100011000", "100100000010"], "largest_eigenvalue": 29.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.5166574351848524) q[0];
rz(1.427206026017565) q[0];
rx(0.6652927820984921) q[1];
rz(1.6153204929972311) q[1];
rx(2.5306334617267017) q[2];
rz(1.1988742149468248) q[2];
rx(-0.008157283247904035) q[3];
rz(1.0151177535238425) q[3];
rx(1.154890385314211) q[4];
rz(1.7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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[12] c;
qubit[12] q;
h q[0];
h q[1];
... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIIIZIIII",
"IIIIIIZZIIII",
"IIIZIIZIIIII",
"IIIIIZIZIIII",
"IIIZIZIIIIII",
"IIIIIZZIIIII",
"IIIIZIIZIIII",
"IIIZZIIIIIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIIIIIZIIIZ",
"IIIZIIIIIIIZ",
"IIZIIIIZIIII",
"IIZZIIIIIIII",
"IIZIIIZIIIII",
"IIZIIZIIIIII",
"IIZIIIIIIIIZ",
"IZIIIIIZI... | [
-1,
0.5,
-0.5,
0.5,
-0.5,
1,
0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.375,
1,
-1,
4,
4,
1.5,
-0.625,
3,
0.5,
2.25,
2.25,
0.5,
-0.125
] | 0.971317 | [
-0.5166574351848524,
-0.14359030077733115,
0.6652927820984921,
0.044524166202335104,
2.5306334617267017,
-0.3719221118480718,
-0.008157283247904035,
-0.5556785732710541,
1.1548903853142112,
0.15156788401350937,
1.981656772672947,
-0.14850940033601542,
1.1883051429482772,
-0.061917510887196... | {
"n_parameters": 57,
"n_qubits": 12,
"optimal_eigenvalue": -12.875,
"target_ratio": 0.97,
"target_value": -12.48875
} | 97 |
be3312c5c1bc33b10be9c834d0af7350 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7}, {"source": 8, "target":... | {"states": [239, 495], "expectation_value": -7.619818828368839, "params": [1.0594000000000001, -0.2957, 0.6719, -0.3108, 1.1618000000000002, -0.2212, 1.0058, -0.1433, -0.7014, -0.3005, -0.642, -0.061200000000000004, -0.6638000000000001, -0.18730000000000002, -0.5801000000000001, -0.1218, 0.2353, -0.5974, 0.219800000000... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(4) | 6 | 9 | 3 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["000010000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.2981509844867557) q[0];
rz(1.6892537400776497) q[0];
rx(0.4727948839522916) q[1];
rz(1.25794667609434) q[1];
rx(0.382222792084763) q[2];
rz(1.8056559122353084) q[2];
rx(-0.2229001784717934) q[3];
rz(1.5523346467626133) q[3];
rx(0.0650634911757089) q[4];
rz(1.507945... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIZZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIZIIIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIZIIII"
] | [
-1,
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970192 | [
0.29815098448675564,
0.11845741328275271,
0.47279488395229163,
-0.31284965070055587,
0.38222279208476295,
0.2348595854404118,
-0.2229001784717934,
-0.018461680032282907,
0.0650634911757089,
-0.0628505784713939,
1.354464253273926,
-0.13597110321905556,
0.770035313022683,
0.7558693121603418,... | {
"n_parameters": 180,
"n_qubits": 9,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 494 |
e95c8bc22a5c03425fc32d877756198b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, ... | {"states": [19, 98], "expectation_value": -0.08066981305619429, "params": [[-0.024300000000000002, -0.022500000000000003], [0.029500000000000002, 0.029400000000000003]], "bitstrings": ["1101100", "0011101"], "total_optimization_steps": 10, "probabilities": [0.00824320000524712, 0.008309668517705524], "optimization_time... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(1) + -0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["1100110", "1101100", "1010011", "0011101", "1100011"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.579450656118302) q[0];
h q[1];
ry(-0.44857055279780694) q[1];
h q[2];
cx q[2], q[1];
ry(0.44857055279780694) q[1];
cx q[2], q[1];
ry(-0.6176282854684922) q[1];
ry(0.9354167381087468) q[2];
h q[3];
ry(1.354925211870143) q[3];
cx q[3], q[2];
ry(-0.2031831782... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZZI",
"ZIIIIZI",
"IZIZIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-0.5,
-1,
-1,
-0.5,
-0.5
] | 0.995957 | [
-1.579450656118302,
-1.4796410360738341,
1.354925211870143,
1.5350111707384577,
-0.8971411055956139,
0.7322335598561136,
-0.11609142966867134,
-0.49347830243712204,
0.40636635650526653,
-0.24829996606274043,
0.2523136444711719,
-0.1666060973439571,
-0.08691841742404358,
0.04526886395189124... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
0f1d9308b8b1d06d30bfa4de6cbc9040 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [607, 671], "expectation_value": -2.9913074541787337, "params": null, "bitstrings": ["0110100000", "0101100000"], "total_optimization_steps": 83, "probabilities": [0.039195353000280514, 0.6667044491494435], "optimization_time": 335.01449942588806} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(0) @ Z(8)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(2) @ Z(8)) + 0... | 1 | 10 | 4 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5625, "smallest_bitstrings": ["1001001000", "0101100000", "0110010000"], "largest_eigenvalue": 5.4375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.6230010565610689) q[0];
rz(0.06856754591903558) q[0];
rx(0.05228651755820995) q[1];
rz(0.2247192988641979) q[1];
rx(0.623001056561069) q[2];
rz(0.422733719531101) q[2];
rx(-0.04142085028007082) q[3];
rz(0.5561544826034971) q[3];
rx(0.03278011693440643) q[4];
rz(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(-1.1871) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = meas... | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIZZIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIZZZIIII",
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IIZIIIIIIZ",
"IZIIIIIIIZ",
"IIIIIZIZII",
"IIZIIIIZII",
"IZIIIIIZII",
"IIZIIZIIII",
"IZIIIZIIII",
"IZZIIIIIII",
"IIIIIZIZIZ",
"IIZIIIIZIZ",
"IZIIIIIZIZ",
"IIZIIZIIIZ"... | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
... | 0.972312 | [
0.623001056561069,
0.312284130557242,
0.05228651755820995,
0.2247192988641979,
0.422733719531101,
-0.04142085028007082,
0.5561544826034971,
0.03278011693440643,
0.14994131830223134,
0.8695450938462626,
1.3203077449435106,
-0.04661008090570343,
0.2783265346359588,
0.09648654899272954,
1.0... | {
"n_parameters": 113,
"n_qubits": 10,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 27 |
53752fa69bf385aa63f4a12c0f296bc6 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [233, 203], "expectation_value": -15.561237181212823, "params": [[-0.030000000000000002, -0.0229], [0.058100000000000006, 0.0745]], "bitstrings": ["100010110", "100110100"], "total_optimization_steps": 10, "probabilities": [0.006774578627211435, 0.007186930694376017], "optimization_time": 3.14095139503479} | 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(5) @ Z(6)) + 5.0 * (Z(3) @ Z(5)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(8) @ Z(7)) + 15.5 * Z(2) + 12.0 * Z(1) + 4.0 * Z(0) + -1.0 * Z(4) + 7... | 1 | 9 | 2 | {"smallest_eigenvalues": [-67.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["100110100"], "largest_eigenvalue": 133.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.052934509721106596) q[1];
cx q[2], q[1];
cx q[2], q[0];
rz(-0.052934509721106596) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(-0.052934509721106596) q[0];
cx q[1], q[0];
rz(0.8206989011664172) q[0];
rx(0.6740873733103243) q[0];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIZIIZI",
"IIZIIIZII",
"IIZZIIIII",
"IIIZIZIII",
"IZIZIIIII",
"IZIIIZIII",
"ZIIIIIZII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"IIIIIZIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
15.5,
12,
4,
-1,
7,
11,
3,
11.5,
10.5
] | 0.975931 | [
-0.052934509721106596,
-0.7605492574578496,
-1.3236446501905874,
0.8206989011664171,
1.276216853025635,
0.30431540786779115,
-0.9593581760939807,
1.152006760250521,
-0.7688276418301497,
-1.0002326046779075,
0.6740873733103244,
0.07131391603173788,
-0.9058410552368678,
-0.22279394612309683,... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -67.5,
"target_ratio": 0.97,
"target_value": -65.475
} | 58 |
5144181ac27497fdfa9bdb5b8b799630 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [1, 0], "expectation_value": -1.4960387657262855, "params": null, "bitstrings": ["10", "11"], "total_optimization_steps": 3, "probabilities": [0.003959394488014906, 0.9960387873231064], "optimization_time": 0.8016207218170166} | 0.5 * (Z(0) @ Z(1)) + -1.0 * Z(0) + -1.0 * Z(1) | 1 | 2 | 1 | {"smallest_eigenvalues": [-1.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.5, "smallest_bitstrings": ["11"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[2] q;
h q[0];
ry(-1.5486225528998339) q[0];
h q[1];
ry(-1.5451929801415893) q[1];
| null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[2] c;\nqubit[2] q;\nh q[0];\nh q[1];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[2] c;\nqubit[2] q;\nh q[0];\nh q[1];\nry(-1.5681) q[0];\nry(-1.4449) q[1];\nc[0] = measure q[0];\nc[1] = mea... | [
"ZZ",
"IZ",
"ZI"
] | [
0.5,
-1,
-1
] | 0.999809 | [
-1.5486225528998339,
-1.5451929801415893
] | {
"n_parameters": 2,
"n_qubits": 2,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 1 |
266260d621043cabf37512f90b4b26ac | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [102, 86], "expectation_value": -4.9991283032519105, "params": null, "bitstrings": ["0011001", "0101001"], "total_optimization_steps": 36, "probabilities": [0.06552828227119237, 0.9338519872382248], "optimization_time": 42.43559718132019} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(6) + -1.0 * Z(2) + 0.0 * Z(1) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101001", "0011001"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.477898318581454) q[0];
h q[1];
ry(-0.4888733129307691) q[1];
h q[2];
cx q[2], q[1];
ry(0.4888733129307691) q[1];
cx q[2], q[1];
ry(-0.6924805366395752) q[1];
ry(1.0450823337261748) q[2];
cx q[0], q[2];
ry(-0.25224595363223157) q[2];
cx q[0], q[2];
cx q[0], ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"ZIIZIII",
"ZIIIIIZ",
"IIIZZII",
"ZIIIZII",
"IIIIZZI",
"IZIZIII",
"ZZIIIII",
"IIZZIII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIZII",
"IIIIIZI",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1.5,
-1,
0,
-0.5,
0
] | 0.998002 | [
-1.5808231262727073,
-1.495224561598988,
1.477898318581454,
-0.9777466258615382,
0.7928363800939433,
-0.4713266192410723,
0.5044919072644631,
-0.44230783479700575,
0.11582191220683138,
-0.1832459711098804,
-0.009696904386748695,
0.19372804678613653,
0.11888128948169988,
0.0742715900397142,... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
74f3db266dbfc29b2e3165b97e91cad0 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [27, 11], "expectation_value": -2.1831872164107886, "params": [[-0.057300000000000004, -0.0489], [0.062200000000000005, 0.0658]], "bitstrings": ["1100100", "1110100"], "total_optimization_steps": 10, "probabilities": [0.014893434164247519, 0.015000774321684316], "optimization_time": 2.697324514389038} | -1.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.25 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 3.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -2.25 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.25 * Z(4) + 0... | 1 | 7 | 2 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["1110100"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.04184615944811212) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.45664904095762016) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.12895850687487254) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.12895850687487254) 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": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"IZIIZII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
-1.5,
-0.25,
-1.25,
-1.25,
-1.25,
-0.5,
3.25,
-1.25,
-0.75,
-1.5,
-0.75,
-2.25,
-0.25,
-1.75,
1.25,
0.75,
0,
2.25
] | 0.970066 | [
-0.04184615944811212,
0.45664904095762016,
0.12895850687487254,
-0.03723472961299448,
-0.21737936292996754,
0.029373184406209597,
0.6374450655047218,
0.5801198435909705,
0.9287483803293076,
-1.0246339813489909,
-0.8274406081529805,
-1.1072203716599882,
1.4433797659572527,
-0.16463148373233... | {
"n_parameters": 37,
"n_qubits": 7,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 114 |
0f435eed505f807fb8dc44643dfd43ce | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target"... | {"states": [8, 1], "expectation_value": -4.489927472337257, "params": [[-0.0678], [0.0673]], "bitstrings": ["10111", "11110"], "total_optimization_steps": 10, "probabilities": [0.04128764030005051, 0.04307902279304696], "optimization_time": 1.4140326976776123} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.25 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + -8.25 * Z(1) + -8.5 * Z(0) + -8.25 * Z(2) + -8.25 * Z(3) + -7.75 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-21.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.75, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 64.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.366669122515066) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.366669122515066) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.366669122515066) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.366669122515066) q[3];
cx q[0], q[3];
h 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[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
-8.25,
-8.5,
-8.25,
-8.25,
-7.75
] | 0.608376 | [
0.366669122515066,
0.6186240853904678,
-0.8045916182441789
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 106 |
cae8556c03d0ff054ffa82259456ae81 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [41, 169], "expectation_value": -4.819212902375835, "params": [0.5248, 0.0022, -0.0064, 0.3078, 0.6066, 0.0009000000000000001, 0.1983, -0.023700000000000002, 0.6038, -0.0028, 0.0026000000000000003, 0.2844, -0.0073, -0.3068, 0.6073000000000001, -0.001, 0.5321, -0.002, -0.0056, 0.3168, 0.6075, -0.0001, 0.17930... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + -1.5 * Z(3) + -1.0 * Z(0) + -1.5 *... | 4 | 8 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["01010110"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.7984419675948349) q[0];
rz(1.4434534247010715) q[0];
rx(-0.061560953443263636) q[1];
rz(2.0003574016833774) q[1];
rx(1.0227785368801825) q[2];
rz(1.6989098693671965) q[2];
rx(-0.03703002520347012) q[3];
rz(1.2535528045450128) q[3];
rx(0.99579478734335) q[4];
rz(1.4... | 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": []} | [
"IIIIZIIZ",
"IIZIIIIZ",
"IZIIZIII",
"IZIIIIIZ",
"IIZIIIZI",
"IZIIIIZI",
"IIIZZIII",
"IIZZIIII",
"IZIZIIII",
"IIIZIIZI",
"ZIIIIIZI",
"IIIIZZII",
"IIZIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"IIIIIIZI",
"IIIZIIII",
"ZIIIIIII",
"IIIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-1.5,
-1.5,
-1.5,
0,
-0.5
] | 0.971834 | [
0.798441967594835,
-0.1273429020938252,
-0.06156095344326365,
0.42956107488848055,
1.0227785368801825,
0.12811354257229984,
-0.03703002520347012,
-0.3172435222498827,
0.9957947873433499,
-0.07730833357366351,
-0.03945777081919895,
0.19219761207768665,
0.15581663257631886,
-0.25866050009344... | {
"n_parameters": 67,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 14 |
5256643626592844956 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 2, 3, 7, 9, 10], [8, 1, 10, 9], [4, 7], [5, 7], [2, 6]]} | {"states": [1779, 1271], "expectation_value": -0.926146472628424, "params": [[-0.5698], [0.4097]], "bitstrings": ["00100001100", "01100001000"], "total_optimization_steps": 60, "probabilities": [0.0024591484361467172, 0.002459148436146718], "optimization_time": 4.4042909145355225} | 0.03333333333333333 * (Z(0) @ Z(2)) + 0.03333333333333333 * (Z(3) @ Z(2)) + 0.03333333333333333 * (Z(3) @ Z(0)) + 0.03333333333333333 * (Z(7) @ Z(2)) + 0.03333333333333333 * (Z(7) @ Z(0)) + 0.03333333333333333 * (Z(7) @ Z(3)) + 0.03333333333333333 * (Z(9) @ Z(2)) + 0.03333333333333333 * (Z(9) @ Z(0)) + 0.03333333333333... | 1 | 11 | 1 | {"smallest_eigenvalues": [-1.9500000000000002, -1.9500000000000002, -1.9500000000000002], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.95, "smallest_bitstrings": ["11000011000", "01100001000", "01010011000"], "largest_eigenvalue": 3.4999999999999987} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.0672110784518322) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-0.0672110784518322) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0672110784518322) q[3];
cx q[0], q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[7];
rz(-0.0672... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[2], ... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIIIIZIIZ",
"IIIZIIIIZII",
"IIIZIIIIIIZ",
"IIIZIIIZIII",
"IZIIIIIIZII",
"IZIIIIIIIIZ",
"IZIIIIIZIII",
"IZIZIIIIIII",
"ZIIIIIIIZII",
"ZIIIIIIIIIZ",
"ZIIIIIIZIII",
"ZIIZIIIIIII",
"ZZIIIIIIIII",
"IZZIIIIIIII",
"ZIZIIIIIIII",
"IZIIIIIIIZI",
"ZIIIIIIII... | [
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.033333333333333... | 0.723179 | [
-0.0672110784518322,
-0.04511054158967894,
-0.35001721732017277,
-1.1680129117183784,
-1.3128390978532127,
-0.07704568446731358,
0.23211537271779184,
0.823167383059245
] | {
"n_parameters": 8,
"n_qubits": 11,
"optimal_eigenvalue": -1.9500000000000002,
"target_ratio": 0.97,
"target_value": -1.8915000000000002
} | 189 |
-4590945136126999460 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4], [0, 1], [0, 2], [3, 7], [0, 4], [5, 7], [0, 7], [3, 5], [2, 7], [2, 5], [0, 3], [6, 7]]} | {"states": [77, 178], "expectation_value": -0.1593945072959921, "params": [[0.08070000000000001], [-0.0855]], "bitstrings": ["10110010", "01001101"], "total_optimization_steps": 10, "probabilities": [0.004574725346714704, 0.004574725346714704], "optimization_time": 2.5951411724090576} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.0, "smallest_bitstrings": ["10000110", "01001101", "10001110", "10000101", "01101001", "10110010", "01110001", "01110010", "10001101", "10010110", "01111010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(-0.6202683516639759) q[1];
h q[2];
ry(-0.6566442533295676) q[2];
h q[3];
h q[4];
ry(-0.13897874140732927) q[4];
cx q[0], q[4];
ry(0.13897874140732927) q[4];
cx q[0], q[4];
ry(1.555720878916397) q[0];
cx q[0], q[1];
ry(0.6202683516639759) q[1];
cx q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0]... | null | {"circuits": [], "gradients": []} | [
"IIIZZIII",
"IIIZIIIZ",
"IIIIZIIZ",
"IIIIIIZZ",
"IIIIIZIZ",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIIIIZII",
"IIZIZIII",
"IIZIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIZIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"ZIIIIIII",
"IIZIIIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.973708 | [
-0.27795748281465854,
1.555720878916397,
-1.2405367033279517,
-0.765129471396,
-0.6741724042235383,
1.261475547175659,
-1.313288506659135,
1.144455587004279,
-0.5359399949561519,
0.534126262427554,
0.07768311372843642,
0.20607406100733605,
-0.5847614822486443,
0.3606369717141199,
-0.3361... | {
"n_parameters": 54,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 19 |
e9e1c3bad7671d416f508c960af260f6 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 3... | {"states": [1, 33], "expectation_value": -7.249999958339817, "params": null, "bitstrings": ["1111110", "1011110"], "total_optimization_steps": 18, "probabilities": [0.4999999958328442, 0.4999999958328442], "optimization_time": 12.16510820388794} | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + 0.25 * Z(4) + -0.25 * Z(0) + 0.0 * Z(5) + -1.0 * Z(2) + 0.25 * Z(1) + -0.5 * Z(3) + 1.25 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.25, "smallest_bitstrings": ["1111110", "1011110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.5744169391312657) q[0];
h q[1];
ry(-0.05753664395928477) q[2];
rz(-pi) q[2];
rz(-pi) q[3];
ry(-0.024728804110098233) q[3];
ry(-0.05753664395928477) q[4];
rz(-pi) q[4];
h q[5];
ry(-1.5744169391312657) q[5];
h q[6];
ry(1.5912199140774594) q[6];
cx q[6], q[3]... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5706) 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", "... | [
"IIZIIIZ",
"IZIIIIZ",
"IIZIZII",
"IZIIZII",
"IIIIZZI",
"IZIZIII",
"IIIZZII",
"ZIZIIII",
"ZIIIIIZ",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII"
] | [
-0.75,
-0.5,
-0.75,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
1.5,
0.25,
-0.25,
0,
-1,
0.25,
-0.5,
1.25
] | 0.999378 | [
1.5912199140774594,
-1.5744169391312657,
-1.485651063635235,
-1.5624441216083338,
-0.06616201859332208,
-0.05521723840075406
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 1 |
c5d57071b024d109c38c43678d62eaf1 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}]} | {"states": [0, 1], "expectation_value": -2.878077382958071, "params": [[[0.001, 0.4803], [-0.0012000000000000001, 0.016800000000000002], [0.8059000000000001, -0.0011]], [[0.0011, 0.0039000000000000003], [0.0066, 0.0034000000000000002], [0.8076, 0.0037]]], "bitstrings": ["111", "110"], "total_optimization_steps": 80, "p... | -1.25 * (Z(0) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -1.25 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2) | 1 | 3 | 2 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.75, "smallest_bitstrings": ["110"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.770690699219718) q[0];
h q[1];
ry(1.4871712470846223) q[1];
ry(-2.708001184483433) q[2];
rz(-pi) q[2];
cx q[1], q[2];
ry(-0.4298731353811252) q[2];
cx q[1], q[2];
cx q[1], q[0];
ry(-0.770690699219718) q[0];
cx q[1], q[0];
ry(0.1454074864826947) q[0];
ry(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[3] c;
qubit[3] q;
rx(x0) q[0];
rz(x1... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} | [
"IZZ",
"ZIZ",
"IZI",
"IIZ",
"ZII"
] | [
-1.25,
1.5,
-1.25,
-0.25,
1.5
] | 0.998049 | [
0.707331722307411,
1.4871712470846223,
0.8597462707622504,
-1.3799562985781975,
-1.4711756176015598,
1.541381398439436,
-1.3965271552689695,
-0.16148817852256322,
-0.2575056935640775,
0.2663957319896916,
-0.1803796305048725,
0.0016697777359003935,
-0.24197649101399368
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -9.3,
"target_ratio": 0.97,
"target_value": -9.021
} | 1 |
4002e7c825d905d476562dd2a4250026 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [40, 85], "expectation_value": -0.16150840844745076, "params": [[-0.0229, 0.031, 0.046], [0.042300000000000004, -0.0165, -0.0352]], "bitstrings": ["1010111", "0101010"], "total_optimization_steps": 10, "probabilities": [0.008434891378705124, 0.008625871840842753], "optimization_time": 9.668365955352783} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -1.0 * Z(1) + -0.5 * Z(4) + -1.0 * Z(6) + 0.0 * Z(2) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0101010"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-3.118507042708292) q[0];
ry(-0.025378205163912124) q[1];
rz(-pi) q[1];
h q[2];
ry(1.5301870592080595) q[2];
h q[3];
ry(-1.5175118545593271) q[3];
ry(-3.136360018442798) q[4];
rz(-pi) q[4];
cx q[2], q[4];
ry(0.01375238636405611) q[4];
cx q[2], q[4];
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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IZIZIII",
"IZIIIIZ",
"IZIIIZI",
"IIZZIII",
"IIZIIZI",
"ZIIZIII",
"ZZIIIII",
"ZIIIIZI",
"IIIZZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIZIIII",
"ZIIIIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1.5,
-1,
-0.5,
-1,
0
] | 0.995154 | [
-1.5175118545593271,
-1.5974341158562466,
-1.4759827115175996,
1.5301870592080595,
1.5793160780119577,
-0.13887082022676997,
-0.02750477272811222,
0.24593010025788947,
0.12738975693667637,
0.06238370915205528,
-0.03190890137464023,
0.0074460703489463344
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
5ed2e84a4a14a0b7f5c3856807396e61 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 4, "s... | {"states": [1, 55], "expectation_value": -0.7674231141155231, "params": [[0.0678, 0.061500000000000006], [-0.075, -0.0651]], "bitstrings": ["111111110", "111001000"], "total_optimization_steps": 10, "probabilities": [0.003279217071495617, 0.003279434117389036], "optimization_time": 3.0390124320983887} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + 0.75 * (Z(8) @ Z(0)) + -1.25 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -0.25 * (Z(7) @ Z(2)) + -0.25 * (Z(4) @ Z(8)) + -0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(7)) + -0.75 * (Z(3) @ Z(4)) + -0.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + -0.25 * Z(0) + 0.75 * Z(2) + 0.5 * Z(8) + -1.... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.5, "smallest_bitstrings": ["111011110", "111001010", "111001000", "111111110", "111111010", "111011010"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.07631298667984679) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.07631298667984679) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(-0.02675005929009977) q[5];
cx q[1], q[5];
rz(1.547506371120754) q[1];
rx(-1.48451... | OPENQASM 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... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"ZIIIIIIIZ",
"IIIZIIIZI",
"IIIZIIZII",
"IZIIIIZII",
"ZIIIZIIII",
"IIIZZIIII",
"IZIIZIIII",
"IIIIZZIII",
"IIZIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"ZIIIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII"
] | [
-0.25,
-0.25,
0.75,
-1.25,
-1.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.75,
-0.5,
0.5,
-0.25,
0.75,
0.5,
-1.75,
0,
-1,
0.75,
0.5
] | 0.674338 | [
-0.07631298667984679,
1.3779727175632956,
-0.02675005929009977,
-0.016512191481523938,
-0.0017200849202761322,
1.547506371120754,
1.5630420677388002,
1.564109801380211,
1.5629778929593883,
-1.4845196553160172
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 253 |
-8688763616674854855 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 3], [1, 4], [0, 5], [1, 2], [1, 5], [0, 1], [2, 5]]} | {"states": [21, 42], "expectation_value": -0.07158144781041077, "params": [[-0.0737], [0.0711]], "bitstrings": ["101010", "010101"], "total_optimization_steps": 10, "probabilities": [0.01727794237746734, 0.01727794237746734], "optimization_time": 1.2553679943084717} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["101010", "010101"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.15563661525637812) q[1];
h q[2];
ry(0.5953272858584342) q[2];
h q[3];
ry(-0.15563661525637812) q[3];
cx q[0], q[3];
ry(0.15563661525637812) q[3];
cx q[0], q[3];
ry(1.1466729946917271) q[0];
ry(-1.158774727828598) q[3];
h q[4];
h q[5];
cx q[5], q[1]... | 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[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
cx q[1], q[4];
rz(x0) q[4];
cx q[1], q[4];
cx q[0], q[5];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IIIIZZ",
"IZIIZI",
"ZIIIIZ",
"ZIIIZI",
"IIIZZI",
"ZIIZII",
"IIZIII",
"IIIIIZ",
"IIIIZI",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.972597 | [
-0.31127323051275624,
0.8455585253034665,
-0.9056138515109174,
-0.3687809269014091,
1.3810321676538004,
1.1906545717168684,
-0.2681113491874999,
0.6022289387765213,
-1.0864666055366723,
0.23535558198869017,
-0.5063217526353613,
0.1598767220558867,
0.1952746172060367,
-0.5426011072130803,
... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 13 |
3c9c101d3ca31818a58dc6d661f912ad | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 7}, {"capac... | {"states": [17, 1], "expectation_value": -16.999999966619765, "params": null, "bitstrings": ["1111101110", "1111111110"], "total_optimization_steps": 30, "probabilities": [8.327888962579199e-09, 0.999999991661064], "optimization_time": 57.014681339263916} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(7)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(7)) + -0.75 * (Z(3) @ Z(8)) + -0.5 * (Z(3) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.31081255288526993) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.44775948561421924) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.31081255288526993) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[7];
rz(0.22063... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.5708) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5]... | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIZIIIIIIZ",
"IIZIIIIZII",
"IZIIIIIIZI",
"IZIIIIIIIZ",
"IIIIIZIIZI",
"IIZIIZIIII",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIZIIIZIII",
"IZIIIIZIII",
"IIIIIZZIII",
"IIIIZIIIZI",
"IIIIZIIZII",
"IIZIZIIIII",
"IZIIZIIIII",
"IIIIZIZIII",
"ZIIIIIIIIZ"... | [
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
-0.25,
-0.75,
-0.75,
-0.5,
-0.75,
-0.5,
-0.75,
-1,
-0.75,
-0.25,
-0.25,
1.75,
-0.25,
-0.25,
-0.75,
-0.75,
-0.25,
-1,
-0.25,
-0.75,
-1.5,
-0.25,
-1,
1,
1.25,
1.5,
1
] | 0.503137 | [
0.31081255288526993,
0.44775948561421924,
0.22063233377674676,
0.8391716738578886,
-0.370649658042186,
1.1956849244237249,
-0.2635388681014347,
0.12082703265010854,
-1.408452584750217,
1.1289956896569686
] | {
"n_parameters": 10,
"n_qubits": 10,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 277 |
a91613587e2e3ed31c854337981da9dd | 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": 1}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, ... | {"states": [0, 1], "expectation_value": -8.039444281765562, "params": [0.0041, 0.3982, 0.0028, 0.5901000000000001, -0.0025, 0.5955, 0.0026000000000000003, 0.6015, 0.0024000000000000002, 0.6048, 0.6078, 0.2514, 0.0024000000000000002, -0.5749000000000001, 0.801, 0.0054, 0.0032, 0.0032, 0.0028, 0.0056, -0.0025, 0.00580000... | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(6)) + -1.25 * (Z(5) @ Z(3)) + 1.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(7) + -1.25 * Z(2) + 0.0 * Z(3) + 0.0 * Z(6) + -... | 3 | 8 | 2 | {"smallest_eigenvalues": [-9.0, -9.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.0, "smallest_bitstrings": ["11111110", "11111010"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.8142818159798348) q[0];
ry(-0.032593683521263635) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.610183497606998) q[2];
h q[3];
ry(-1.610183497606998) q[3];
h q[4];
ry(-1.610183497606998) q[4];
h q[5];
h q[6];
ry(-1.610183497606998) q[6];
h q[7];
ry(1.4863581279641118)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"ZIIIIIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IZIIIIZI",
"IZIIZIII",
"IIIZIZII",
"IZIZIIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"IIIZIIII",
"IIZIIIII"
] | [
-0.25,
0.5,
-1.25,
-0.25,
-1.75,
-0.25,
-0.75,
-0.75,
-1,
-1.25,
1.5,
-0.25,
0.5,
-1.25,
0,
0,
-1.75,
1.25
] | 0.997911 | [
-1.610183497606998,
1.4863581279641118,
-1.6285636319596697,
-1.3831484037152848,
-0.3101084791166965,
0.12617624117491766,
0.014085585013846047
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 1 |
0b5f0e96c66f1fe8afca6f37edd06ab2 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [3506, 3509], "expectation_value": -3.4332560530545004, "params": [[[0.028900000000000002, 0.003, 0.008400000000000001, 0.0043], [-0.0027, -0.263, 1.0908, 0.023200000000000002], [1.233, -0.6051000000000001, 1.1373, -1.0874000000000001], [0.0048000000000000004, -0.8575, 0.0033, -1.2441], [0.1396, -0.0098, -0.... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (... | 11 | 12 | 2 | {"smallest_eigenvalues": [-3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375], "number_of_smallest_eigenvalues": 26, "first_excited_energy... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.1500635382209095e-08) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(1.1500635382209095e-08) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(1.1500635382209095e-08) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(1.1500635382209095e-08)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIIZZZI",
"IIIIIIIIZZZZ",
"IIIIIIIZIIIZ",
"IIIIIIZIIIIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIIZ",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIZIIZI... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0... | 0.818182 | [
1.1500635382209095e-8,
-1.5707963292766471,
1.570796321214452,
1.5707962870051804,
-1.5707962808666522,
1.5707962941657407
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 171 |
fe730bb1674e126efa753a18eada3bbc | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [2006, 1494], "expectation_value": -3.068625577786814, "params": [2.7061, 0.0099, 1.4894, 0.005200000000000001, 1.8964, 0.0047, 2.6967000000000003, 0.0089, 2.6363000000000003, 0.0038, -0.0024000000000000002, 0.002, 2.6963, 0.0032, 0.47750000000000004, 0.0028, 2.7110000000000003, 0.001, 2.7064, 0.005500000000... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 16 | 11 | 1 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.875, "smallest_bitstrings": ["00001111000", "01000101001", "01000100011", "10000101001", "00010101001", "000... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.6100838668909585) q[0];
rz(-0.04373243666931259) q[0];
rx(0.8054702772237696) q[1];
rz(-0.06526501051352748) q[1];
cx q[1], q[0];
rz(0.01781354599146161) q[0];
cx q[1], q[0];
rz(1.4445189281939292) q[0];
ry(0.8844928308941279) q[0];
rz(-1.6906148453320522) q[0];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIZIIZI",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIIIIZZZ",
"IIIIIIIZIZZ",
"IIIIIIZIIZZ",
"IIIIIIIZZIZ",
"IIIIIIZIZIZ",
"IIIIIIZZIIZ",
"IIIIIIIZZZI",
"IIIIIIZIZZI",
"IIIIIIZZI... | [
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25... | 0.974681 | [
0.6100838668909583,
-0.025918890677850925,
0.8054702772237696,
-0.06526501051352748,
0.41181063897534304,
-0.0661285481236261,
0.45495168779832296,
0.06118531012173675,
-0.32014736519723913,
-0.28419822749026225,
0.007244127208319684,
0.36509429911698293,
0.5082566839359527,
-0.08040366798... | {
"n_parameters": 145,
"n_qubits": 11,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 10 |
77dce16e2c6e790ed7c91ee5956c7b72 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 2, "s... | {"states": [3, 1], "expectation_value": -0.557338280863003, "params": [[0.0366], [-0.037700000000000004]], "bitstrings": ["111111100", "111111110"], "total_optimization_steps": 10, "probabilities": [0.002420942099490477, 0.002454522282611717], "optimization_time": 2.4706857204437256} | -0.75 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -1.75 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(2)) + -1.75 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(3)) + -2.75 * (Z(6) @ Z(4)) + 3.75 * (Z(8) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-24.75, -24.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -18.75, "smallest_bitstrings": ["111111110", "111111100"], "largest_eigenvalue": 25.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.7216773204218943) q[0];
h q[1];
ry(-1.4433546408437885) q[1];
h q[2];
ry(-1.4433546408437885) q[2];
rz(-pi) q[3];
ry(-2.2651039182844348e-08) q[3];
h q[4];
h q[5];
ry(-1.4433546408437885) q[5];
ry(-0.22605723561105742) q[6];
rz(-pi) q[6];
h q[7];
h q[8];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIIIZII",
"IIZIIZIII",
"IIZIZIIII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"IZIIIZIII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"... | [
-0.75,
-1.25,
-1,
-0.5,
-1.75,
-2,
-1,
-1.75,
-0.5,
-0.5,
-1.25,
-0.75,
-2.75,
3.75,
-1.25,
-0.75,
-0.75,
0.25,
-0.25,
0.25,
-3.25,
-1.25,
-0.25,
0.5,
2.5,
1.5
] | 0.945384 | [
-1.5707963843437192,
-1.4433546408437885,
1.570796349008444,
-7.176605572675924e-8,
-1.2258531681411167,
-1.118681821547669,
-0.849118964872174,
-6.561660585618452e-8,
-0.45211453927234085,
-0.34494315533567665,
4.126469205045058e-8,
-0.4521146381750043,
6.619034905279708e-8,
2.29260276315... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 478 |
1660286489679715573 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 9], [1, 4], [8, 6], [3, 5], [10, 7], [8, 10], [6, 7], [1, 10], [1, 5], [2, 7], [10, 6], [2, 6], [0, 7], [9, 6], [0, 6], [11, 6], [5, 7], [8, 1], [2, 4], [4, 6]]} | {"states": [3148, 1100], "expectation_value": -0.10444280530384951, "params": [[[1.5, 0.0034000000000000002], [1.7158, 0.0023], [1.4188, 0.0047], [1.4434, 0.0053], [1.4643000000000002, 0.0041], [1.7117, 0.0027], [1.4481000000000002, 0.0038], [1.4236, 0.0085], [1.7019000000000002, 0.0013000000000000002], [1.7031, 0.0036... | 0.5 * (Z(0) @ Z(11)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(10) @ Z(1)) + 0.5 * (Z(8) @ Z(11)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(10)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(10)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (... | 1 | 12 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["101110110010", "101110110011", "010001001101", "010001001100"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.10740398247634475) q[0];
rz(1.1528222072566707) q[0];
rx(3.2932146441898698) q[1];
rz(0.39945218848896247) q[1];
rx(0.2880941012672191) q[2];
rz(1.5898222789871694) q[2];
rx(0.1611629561732093) q[3];
rz(0.4024683536288805) q[3];
rx(0.20517869170133662) 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": []} | [
"ZIIIIIIIIIIZ",
"IIIIIZIIIIZI",
"IZIIIIIIIIZI",
"ZIIZIIIIIIII",
"IIIZIIIIIIIZ",
"IIIZIZIIIIII",
"IZIZIIIIIIII",
"IIIIZIIIIIZI",
"IIIIZIZIIIII",
"IIIIIIIIIZZI",
"IZIIIIIIIZII",
"IIIZIIIIIZII",
"IIZIIIIIIIIZ",
"IIZZIIIIIIII",
"IIZIZIIIIIII",
"IIZIIIIIIZII",
"IIIIIZIZIIII",
"IIIZIIIZI... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.970151 | [
0.10740398247634475,
1.1528222072566707,
3.2932146441898698,
0.39945218848896247,
0.2880941012672191,
1.5898222789871694,
0.1611629561732093,
0.4024683536288805,
0.20517869170133662,
0.6443937123135209,
2.794890103457623,
2.8674987706857293,
-0.17009097523170505,
-0.023497145784023094,
-... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 46 |
af458648554de42d1265969eb5319ca5 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 1, "source": ... | {"states": [0, 256], "expectation_value": -16.582391879035416, "params": [-0.0114, -0.0043, 0.0114, 0.0097, 0.0028, 0.598, 0.0028, 0.0035, 0.0028, 0.49570000000000003, 0.0029000000000000002, 0.0079, 0.8091, 0.0025, 0.8028000000000001, 0.0046, 0.0027, 0.5995, 0.0028, 0.0073, 0.002, -0.2356, 0.0018000000000000002, 0.0024... | -0.5 * (Z(0) @ Z(7)) + -0.75 * (Z(10) @ Z(0)) + -0.25 * (Z(3) @ Z(7)) + 1.5 * (Z(3) @ Z(0)) + -1.0 * (Z(1) @ Z(10)) + -0.25 * (Z(1) @ Z(3)) + -1.0 * (Z(5) @ Z(10)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(10)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(4) @ Z(7)) + -1.0 * (Z(... | 6 | 12 | 1 | {"smallest_eigenvalues": [-17.0, -17.0, -17.0, -17.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -16.0, "smallest_bitstrings": ["100000000000", "100000000001", "111011011111", "111011111111"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.12646585826262585) q[0];
rz(1.607298349950355) q[0];
rx(0.051893814569110124) q[1];
rz(1.7879217323524834) q[1];
rx(-0.03474497053343287) q[2];
rz(1.9952849882877892) q[2];
rx(0.702366796257683) q[3];
rz(1.6862146353318952) q[3];
rx(-0.18664447124002262) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIIZ",
"IZIIIIIIIIIZ",
"IIIIZIIIZIII",
"IIIIIIIIZIIZ",
"IZIIIIIIIIZI",
"IIIIIIIIZIZI",
"IZIIIIZIIIII",
"IIIIIIZIIIZI",
"IIIIZIIIIZII",
"IZIIIIIIIZII",
"IIIIIIIIIZZI",
"IIIIIIZIIZII",
"IIIIZIIZIIII",
"IZIIIIIZIIII",
"IIIIIIIZZIII",
"ZZIIIIIIIIII",
"ZIIIIIZIIIII",
"ZIIIIZIII... | [
-0.5,
-0.75,
-0.25,
1.5,
-1,
-0.25,
-1,
-1,
-0.75,
-0.25,
-0.25,
-0.75,
-1.25,
-1,
-0.75,
-1,
-0.25,
-0.5,
-0.75,
-0.5,
-1,
-0.25,
-0.5,
-0.5,
-1,
-0.75,
-0.75,
0.5,
-0.25,
1.25,
0.25,
-0.5,
-1,
0,
0,
-1.75,
1,
0,
0.5
] | 0.97054 | [
-0.12646585826262585,
0.036502023155459445,
0.05189381456911013,
0.2171254055575873,
-0.03474497053343287,
0.4244886614928921,
0.702366796257683,
0.11541830853699901,
-0.18664447124002265,
0.0780044647274929,
0.0866074632997537,
0.20120050685616078,
-0.4414747961401534,
-0.2292978432523631... | {
"n_parameters": 94,
"n_qubits": 12,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 18 |
92e0d9744e7b0376f2c61fec7a621b77 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [56, 25], "expectation_value": -3.4964640978287123, "params": null, "bitstrings": ["000111", "100110"], "total_optimization_steps": 23, "probabilities": [0.06634871027471173, 0.930365963812893], "optimization_time": 15.926916122436523} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(3) + -1.0 * Z(0) + -1.0 * Z(4) + -0.5 * Z(5) + -0.5 * Z(1) + 0.0 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["000111", "100110"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.5133697055041112) q[0];
h q[1];
ry(1.6084249374386541) q[1];
h q[2];
ry(1.6084249374386541) q[2];
ry(-0.053550572212937055) q[3];
rz(-pi) q[3];
ry(-0.053550572212937055) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[0];
ry(0.5133697055041112) q[0];
cx q[5], q[0];... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[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",
"IZIIIZ",
"ZIIIIZ",
"ZZIIII",
"IIZIZI",
"IZIIZI",
"IIZZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-0.5,
-0.5,
0
] | 0.992524 | [
-1.5021443221766975,
1.6084249374386541,
-1.0267394110082224,
0.7506936281381614,
-0.5870557688839062,
0.4771553588124247,
-0.38953925180142007,
0.19253854567295237,
0.02981104842832527,
0.18877927704919473,
0.13517748060633164,
-0.03020286481052407,
-0.11241436734008918
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
bd53ef77fd6623e9c326cf57ce2d586e | 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": 1, "target": 2}, {"source": ... | {"states": [0, 1008], "expectation_value": -27.08930551881618, "params": [[[0.0024000000000000002, 0.005], [-0.0027, 0.0056], [0.0022, 0.006200000000000001], [0.0025, 0.0016], [-0.003, 0.0008], [1.6006, 0.0063], [0.0015, 0.0094], [0.0027, 0.0073], [0.0025, 0.0031000000000000003], [0.0017000000000000001, 0.0044]]], "bit... | -3.0 * (Z(0) @ Z(1)) + -3.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 1.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + -3.0 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + 1.0 * (Z(2) @ Z(3)) + -3.0 * (Z(2) @ Z(4)) + -2.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -2.0... | 2 | 10 | 1 | {"smallest_eigenvalues": [-30.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.0, "smallest_bitstrings": ["0000001111"], "largest_eigenvalue": 39.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.49473612642358644) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.49473612642358644) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-1.1334535912224393) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.16748196299338758) q[4];
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] x2;
input float[64] x3;
input float[6... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIZIIZII",
"ZIIZIIIIII",
"ZIZIIIIIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"IZIZIIIIII"... | [
-3,
-3,
-2,
1.5,
-2.5,
-2.5,
-3,
1,
1,
-3,
-2.5,
0.5,
0.5,
0.5,
-2,
-2.5,
-2.5,
1,
-2.5,
1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
2,
-2,
-2,
-2
] | 0.584287 | [
-0.49473612642358644,
-1.1334535912224393,
-0.16748196299338758,
-0.620883343759781,
-0.09754649995486488,
-0.04683078206202665,
-1.0288711500293581,
-1.0501323728841176
] | {
"n_parameters": 8,
"n_qubits": 10,
"optimal_eigenvalue": -30,
"target_ratio": 0.97,
"target_value": -29.099999999999998
} | 211 |
60ee24e75d296768891909bb6838839e | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target... | {"states": [43605, 21930], "expectation_value": -0.015113255495348544, "params": [[-0.057800000000000004], [0.0661]], "bitstrings": ["0101010110101010", "1010101001010101"], "total_optimization_steps": 10, "probabilities": [1.621392799755729e-05, 1.6213927997557293e-05], "optimization_time": 13.454726696014404} | 0.25 * (Z(0) @ Z(1)) + -0.0008136094674556214 * (Z(2) @ Z(0)) + -0.0008136094674556214 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0003698224852071006 * (Z(4) @ Z(0)) + 0.00014792899408284027 * (Z(4) @ Z(2)) + -0.0003698224852071006 * (Z(5) @ Z(1)) + 0.00014792899408284027 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.0164201183431687], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0164201183431087, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.0103550295857606} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(1.4420221068030157) q[0];
ry(-0.13587664395786597) q[1];
ry(2.344622359597944) q[2];
ry(-0.13211556195730106) q[3];
ry(1.8389040274754898) q[4];
ry(0.45945055916094335) q[5];
ry(1.5130003651181079) q[6];
ry(1.6234509057425504) q[7];
ry(-0.04731162071720469) q[8];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(x0) q[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0008136094674556214,
-0.0008136094674556214,
0.25,
-0.0003698224852071006,
0.00014792899408284027,
-0.0003698224852071006,
0.00014792899408284027,
0.25,
-0.0006656804733727812,
0.00007396449704142013,
-0.0006656804733727812,
-0.0006656804733727812,
0.00007396449704142013,
-0.000... | 0.972819 | [
1.4420221068030157,
-0.13587664395786597,
2.344622359597944,
-0.13211556195730106,
1.8389040274754898,
0.45945055916094335,
1.5130003651181079,
1.6234509057425504,
-0.04731162071720469,
1.1900928750694437,
-0.02641573911208029,
1.3636832228262092,
0.14338559151843044,
1.4857842765760936,
... | {
"n_parameters": 31,
"n_qubits": 16,
"optimal_eigenvalue": -2.016420118343158,
"target_ratio": 0.97,
"target_value": -1.9559275147928632
} | 29 |
-3186683080804824916 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 4, 5, 6, 7, 8, 9], [1, 2, 3, 5, 6, 8], [0, 2, 3, 4, 6, 7, 8], [9, 2, 4, 7], [1, 2, 5, 8, 9], [1, 4, 5], [0, 1, 4, 7, 8, 9], [0, 1, 2, 3, 4, 6, 7], [3, 4, 5, 6, 9], [8, 9, 2, 7]]} | {"states": [1003, 939], "expectation_value": -2.0696943197120055, "params": [[[2.3842000000000003, 0.8108000000000001, 0.0026000000000000003, 0.0095], [-0.0025, -0.8099000000000001, -0.0025, 0.0023], [1.568, 0.0023, 1.5683, 0.0047], [1.473, -0.45020000000000004, 0.274, 0.0039000000000000003], [1.5682, 0.0023, 1.5735000... | 0.10476190476190475 * (Z(0) @ Z(4)) + 0.24047619047619045 * (Z(5) @ Z(4)) + 0.023809523809523808 * (Z(5) @ Z(0)) + 0.12142857142857143 * (Z(6) @ Z(4)) + 0.07142857142857142 * (Z(6) @ Z(0)) + 0.10714285714285715 * (Z(6) @ Z(5)) + 0.18809523809523807 * (Z(7) @ Z(4)) + 0.10476190476190475 * (Z(7) @ Z(0)) + 0.0238095238095... | 11 | 10 | 1 | {"smallest_eigenvalues": [-2.1714285714285717, -2.1714285714285717], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.157142857142858, "smallest_bitstrings": ["0001010100", "1010010000"], "largest_eigenvalue": 9.999999999999995} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(2.3480915025468065) q[0];
rz(0.8843531338779944) q[0];
ry(-0.09055189935663926) q[1];
rz(-0.9555812730672782) q[1];
cx q[1], q[0];
ry(-0.09055189935663926) q[1];
rz(-0.0729485320217276) q[1];
ry(1.476370135442841) q[2];
rz(-0.0729485320217276) q[2];
ry(1.67381942723... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIIZ",
"IIIIZZIIII",
"IIIIZIIIIZ",
"IIIZIZIIII",
"IIIZIIIIIZ",
"IIIZZIIIII",
"IIZIIZIIII",
"IIZIIIIIIZ",
"IIZIZIIIII",
"IIZZIIIIII",
"IZIIIZIIII",
"IZIIIIIIIZ",
"IZIIZIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"ZIIIIZIIII",
"ZIIIIIIIIZ",
"ZIIIZIIIII",
"ZIIZIIIIII",
"ZIZIIIIIII"... | [
0.10476190476190475,
0.24047619047619045,
0.023809523809523808,
0.12142857142857143,
0.07142857142857142,
0.10714285714285715,
0.18809523809523807,
0.10476190476190475,
0.023809523809523808,
0.07142857142857142,
0.08095238095238094,
0.08095238095238094,
0.10714285714285715,
0.0809523809523... | 0.972687 | [
2.3480915025468065,
0.8843531338779944,
-0.09055189935663926,
-0.9555812730672782,
1.476370135442841,
-0.0729485320217276,
1.673819427235196,
-0.5123241192657522,
1.4813023033098558,
1.949306792196348,
0.0010963747583390832,
1.5325024340758053,
0.019974520524105033,
1.9417639867412224,
1... | {
"n_parameters": 30,
"n_qubits": 10,
"optimal_eigenvalue": -2.1714285714285717,
"target_ratio": 0.97,
"target_value": -2.1062857142857143
} | 9 |
a77eb5d2d5d9ffe0797bdf910ce4dc93 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 2, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -10.950160552808155, "params": [-0.3121, 0.0045000000000000005, -0.0746, 0.0028, 0.0016, 0.3114, 0.0033, 0.3141, 0.40130000000000005, -0.0027, 0.40590000000000004, -0.0031000000000000003, 0.0011, 0.3002, 0.0019, 0.29560000000000003, 0.0027, 0.3008, 0.0029000000000000002, 0.3044... | -0.5 * (Z(0) @ Z(8)) + -0.5 * (Z(9) @ Z(0)) + -0.5 * (Z(10) @ Z(0)) + -0.5 * (Z(1) @ Z(9)) + -0.5 * (Z(1) @ Z(10)) + -0.5 * (Z(3) @ Z(8)) + -0.25 * (Z(3) @ Z(1)) + -1.0 * (Z(4) @ Z(8)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(10)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.5 * (Z(7) @ ... | 6 | 11 | 2 | {"smallest_eigenvalues": [-13.25, -13.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.25, "smallest_bitstrings": ["11011111110", "11011111111"], "largest_eigenvalue": 9.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.18706244268457528) q[0];
rz(0.11366093397118249) q[0];
rx(0.021917062106063766) q[1];
rz(-0.5082785748172554) q[1];
rx(1.5478220962444926) q[2];
rz(0.39363350373459793) q[2];
rx(-0.1336754748315205) q[3];
rz(-0.19035676972697324) q[3];
rx(0.006085604096473819) 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": 10} | {"circuits": [], "gradients": []} | [
"IIZIIIIIIIZ",
"IZIIIIIIIIZ",
"ZIIIIIIIIIZ",
"IZIIIIIIIZI",
"ZIIIIIIIIZI",
"IIZIIIIZIII",
"IIIIIIIZIZI",
"IIZIIIZIIII",
"IIIIIIZIIZI",
"IIIIIIZZIII",
"ZIIIIZIIIII",
"IIIIIZIIIZI",
"IIIIIZIZIII",
"IIIZIIIIIZI",
"IIIZIIIZIII",
"IIIZIZIIIII",
"IZIIZIIIIII",
"ZIIIZIIIIII",
"IIIIZIIZI... | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-1,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.75,
-0.5,
-0.25,
-0.75,
-0.25,
1.75,
-0.5,
0,
-0.25,
0,
1.25,
1,
-0.5,
-0.5,
-1,
-0.5,
-0.75,
1.25
] | 0.978823 | [
-0.18706244268457528,
0.03279541057561415,
0.02191706210606377,
-0.43136995201227357,
1.5478220962444926,
0.05305482758795611,
-0.1336754748315205,
-0.33421734455654534,
0.00608560409647382,
-0.5582362156511562,
-0.3182176491901172,
0.11004245842926866,
-0.5375653218407074,
-0.021147635982... | {
"n_parameters": 41,
"n_qubits": 11,
"optimal_eigenvalue": -13.25,
"target_ratio": 0.97,
"target_value": -12.8525
} | 10 |
209492d0ebde0c4941c69f20876abb8e | matching | adaptive_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}], "edges": [{"weight": 6, "source": 0, "t... | {"states": [405, 218], "expectation_value": -41.62325081035118, "params": null, "bitstrings": ["001101010", "100100101"], "total_optimization_steps": 100, "probabilities": [0.08014064645964437, 0.3145507446695984], "optimization_time": 169.97273540496826} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(0)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-86.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 173.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-1.6129533872423376) q[0];
rz(-pi) q[0];
ry(-2.7133984904150865) q[1];
rz(-pi) q[1];
ry(-1.1246832916142324) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.06990389825150062) q[3];
ry(-2.492509573069741) q[4];
rz(-pi) q[4];
rz(-pi) q[5];
ry(-2.5261241041441176) q[5];
h q[6];
ry(3... | null | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(9.9081) 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] = m... | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIIIZZII",
"IIIZIIIIZ",
"IIIZIIZII",
"IIZIIIIZI",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
14,
12,
17.5,
19.5,
3,
16.5,
8.5,
17.5,
-2.5
] | 0.975696 | [
10.121101282315646,
-12.319882261664342,
16.707062439924574,
-0.04620449146954514,
5.408766694090489,
39.2881569578351,
2.200931497780031,
1.3504497871600263,
-12.3896475105252,
11.461956828246157,
-21.13442863499262,
-11.125335305707027,
17.15160517466839,
-4.001693389476348,
3.76601143... | {
"n_parameters": 79,
"n_qubits": 9,
"optimal_eigenvalue": -86.5,
"target_ratio": 0.97,
"target_value": -83.905
} | 72 |
cdb1ebb70ff63dada49563c8267249d6 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": ... | {"states": [1000, 992], "expectation_value": -20.949201978828707, "params": null, "bitstrings": ["0000010111", "0000011111"], "total_optimization_steps": 100, "probabilities": [0.10098101994676163, 0.4717518700673992], "optimization_time": 255.4518666267395} | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + 1.0 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -3.0 * (Z(5) @ Z(6)) + 1.0 * (Z(8) @ Z(6)) + -2.5 * (Z(8) @ Z(5)) + -2.5 * (Z(7) @ Z(6)) + 1.0... | 1 | 10 | 1 | {"smallest_eigenvalues": [-29.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["0000011111"], "largest_eigenvalue": 36.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.1361025613952218) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.05088357949174086) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.6219928104486313) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(1.1361025613952218) q[4];
cx q[1]... | null | {"node": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5... | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIZZIIIII",
"IZIZIIIIII",
"IZIIZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"ZIIZIIIIII",
"ZIIIZIIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"IIIIIIIIZI"... | [
-2,
0.5,
-2.5,
-2,
-2.5,
1,
0.5,
1,
-2,
-2.5,
-3,
1,
-2.5,
-2.5,
1,
-3,
1.5,
-2.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-2.5,
1.5,
-2,
-2.5
] | 0.552278 | [
1.1361025613952218,
0.05088357949174086,
0.6219928104486313,
0.16295871509944157,
0.25370857756357534,
0.24455273313390022,
1.0619824694332143
] | {
"n_parameters": 7,
"n_qubits": 10,
"optimal_eigenvalue": -29.5,
"target_ratio": 0.97,
"target_value": -28.615
} | 189 |
30817b6a61eae6109bfdbb2e6204f6e8 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 8}, {"capacity": 3, "s... | {"states": [137, 153], "expectation_value": -2.7680921819888087, "params": [[0.0703, 0.0795], [-0.0504, -0.0697]], "bitstrings": ["101110110", "101100110"], "total_optimization_steps": 10, "probabilities": [0.005044260640258286, 0.005112365032983947], "optimization_time": 3.3351004123687744} | -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], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"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 |
319cf79193dd12504081b946bd90da21 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 5},... | {"states": [2035, 2019], "expectation_value": -3.5105987903069513, "params": [[0.17700000000000002], [-0.1814]], "bitstrings": ["00000001100", "00000011100"], "total_optimization_steps": 20, "probabilities": [0.0029956301792347347, 0.003277415690741075], "optimization_time": 3.207991600036621} | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + -1.0 * (Z(9) @ Z(10)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(5) + -1.5 * Z(7) + -... | 1 | 11 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["00000011100"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-1.89303170277094) q[0];
rz(0.04815504342172397) q[0];
rx(0.04940562618590294) q[1];
rz(0.10022055762014767) q[1];
rx(-0.00117869706831418) q[2];
rz(-0.00117869706831418) q[2];
rx(-0.0585098752994057) q[3];
rz(0.3370258089620377) q[3];
rx(-0.007584822232665154) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x1) q[2]... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIIZIZII",
"IIIIIZIZIII",
"IIIIIZIIZII",
"IIIZZIIIIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIIIZIIIIII",
"IIZIIIIII... | [
-1,
-2,
0.5,
-1.5,
-1.5,
0.5,
0.5,
-1.5,
0.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5
] | 0.973404 | [
-1.89303170277094,
0.04815504342172397,
0.04940562618590294,
0.10022055762014767,
-0.00117869706831418,
-0.0585098752994057,
0.3370258089620377,
-0.007584822232665154,
-0.18206102537738783,
-0.06946530189956951,
0.06237920807138015,
0.011950776610314844,
0.13816928844830917,
0.002799529328... | {
"n_parameters": 19,
"n_qubits": 11,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 4 |
b86265187bfb2c2bd15ec1f4006924d5 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 3}, {"capacity": 1, "s... | {"states": [55, 247], "expectation_value": -9.287635275913692, "params": [[[-0.1414, -0.36460000000000004, 0.009600000000000001, 0.009600000000000001], [-0.0077, 0.3942, -0.0724, 0.25780000000000003], [-0.0111, -1.9038000000000002, 0.027100000000000003, -0.9201], [-0.0021000000000000003, -1.3573000000000002, -0.0067, 0... | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(0)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(1)) + 2.0 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(5)) + -0.5 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(4)) + -0.75 * (Z(7) @ Z(3)) + -1.25 * (Z(6) @ Z(7)) + 0.5 * Z(2) + -0... | 11 | 9 | 3 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["110001000", "100001000"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(3.685059401018232e-05) q[0];
h q[1];
ry(-1.5708155462904343) q[1];
h q[2];
ry(0.9018705010001372) q[2];
h q[3];
ry(0.7853862989358963) q[3];
h q[4];
cx q[4], q[3];
ry(-0.7853862989358963) q[3];
cx q[4], q[3];
ry(0.6154780182089798) q[4];
cx q[3], q[4];
ry(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZZIII",
"IIIIZIIZI",
"ZIIIIIIIZ",
"ZIIZIIIII",
"ZIIIIZIII",
"ZIIIZIIII",
"IZIIIZIII",
"IZZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIZIIII",
"ZIIIIIIII",
"IZIIIIIII",
"... | [
-0.5,
-0.25,
-1.25,
-0.75,
-0.5,
-1,
-0.5,
2,
-0.75,
-0.5,
-0.75,
-0.75,
-1.25,
0.5,
-0.25,
-0.75,
0.5,
-1,
0.25,
0,
0.5,
0.25
] | 0.865385 | [
0.00007370118802036464,
1.5707072515823253,
-1.5708155462904343,
-1.1688358836808752,
-1.570828949867654,
1.5707910455009648,
1.2309592359001011,
1.5707725978717926,
1.2309560364179597,
-0.08934536690285415,
1.8037410020002744,
0.8665372509893933,
0.08932064453762892,
-0.31759351157133014,... | {
"n_parameters": 29,
"n_qubits": 9,
"optimal_eigenvalue": -9.75,
"target_ratio": 0.97,
"target_value": -9.4575
} | 500 |
e58428a6900eb2eef0cb4731fd8b4a99 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6... | {"states": [33, 45], "expectation_value": -11.493643507879883, "params": null, "bitstrings": ["1011110", "1010010"], "total_optimization_steps": 48, "probabilities": [0.21071138695011513, 0.7829323989572221], "optimization_time": 44.85672402381897} | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(6) @ Z(1)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(4) @ Z(3)) + 1.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + -2.5 * Z(5) + 1.75 ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-11.5, -11.5, -11.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.5, "smallest_bitstrings": ["1111110", "1011110", "1010010"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(1.690944416721413) q[0];
ry(0.054699542645833876) q[0];
rz(-1.1769404323163797) q[0];
rz(-2.3881872169052443) q[1];
ry(0.20723270974804353) q[1];
rz(-2.857031240934929) q[1];
rz(-2.4596888100774237) q[2];
ry(0.14080968323527931) q[2];
rz(-2.993631691840007) q[2];
rz(... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZIZ",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"ZIIIIZI",
"ZIIIIIZ",
"IIIZIZI",
"IIIZZII",
"IZIZIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
-0.5,
-1.25,
-1,
-0.5,
-0.75,
-0.75,
2.5,
-0.75,
-0.75,
-0.25,
-0.5,
1.5,
-0.25,
-0.75,
-2.5,
1.75,
0.25,
0
] | 0.989705 | [
-0.022892677441185116,
0.2110669709326137,
-0.27094094257024,
0.6131998797071878,
-0.20111098885694167,
0.503350945250638,
0.020546732618873385,
0.3028834781091834,
0.2617247912178288,
0.41607371001171256,
-0.16363397257810378,
0.563891452430853,
0.8878830733377374,
-0.0634222979567583,
... | {
"n_parameters": 35,
"n_qubits": 7,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 9 |
61e72a7f3bba48b5d0ac6a3978f4cc8b | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 12, "source": 1, "target": 2}, {"weight": 1, "source": 2, "tar... | {"states": [217, 218], "expectation_value": -40.47815299701979, "params": null, "bitstrings": ["100100110", "100100101"], "total_optimization_steps": 100, "probabilities": [0.09004638163920066, 0.16102425564288525], "optimization_time": 205.48138999938965} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 8.5 * Z(1) +... | 1 | 9 | 3 | {"smallest_eigenvalues": [-82.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 154.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0483335131627427) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.0483335131627427) q[2];
cx q[0], q[2];
rz(1.4825487746828614) q[0];
rx(1.5903212513051308) q[0];
h q[3];
cx q[2], q[3];
rz(0.0483335131627427) q[3];
cx q[2], q[3];
h q... | null | {"matching": "maximum", "extra": "{\"n\": 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(34.778) 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] = m... | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIZI",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
8.5,
5,
10.5,
5,
22,
15,
2,
17,
6
] | 0.974572 | [
0.0483335131627427,
-1.4734969215830827,
1.482548774682861,
-1.630158374978085,
-1.5196549872298504,
-1.6812432412868732,
2.1456031315340165,
-1.51463448411913,
1.8480943215643566,
1.5903212513051306
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -82,
"target_ratio": 0.97,
"target_value": -79.53999999999999
} | 49 |
4421c497e819297a0c75498974257550 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 20, "source": 1, "target": 4}, {"weight": 15, "source": 1, "tar... | {"states": [238, 236], "expectation_value": -63.67347909831952, "params": [0.2924, 0.4233, 1.0645, -0.0078000000000000005, 1.0721, -0.0038, 1.0749, 0.0656, 0.2982, 0.4335, 1.0678, -0.0039000000000000003, 1.0674000000000001, 0.2175, 0.4803, 0.38570000000000004, 0.271, 0.4203, 0.2868, 0.4032, 1.0721, -0.0071, 1.0664, -0.... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(3)) + 10.0 * Z(1) + 6.5 * Z(0) + 16.5 * ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 146.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.10065772740106636) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.10065772740106636) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.10065772740106636) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(0.10065772740106636) q[2];
cx q[0], q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIZIIZII",
"IIIZZIIII",
"IIZIZIIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"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,
10,
6.5,
16.5,
19,
12,
4.5,
6.5,
9.5,
3.5
] | 0.797639 | [
0.10065772740106636,
-1.7628013311861233,
0.884909477620434,
-1.7245099828185126,
-1.7325881042059148,
-1.725404804168548,
-1.7480658767147619,
1.235349101595457,
1.2765281978103793,
-0.9463188803394292,
1.2890332574700256,
-1.484332673818375,
0.2873659630782772,
-1.4837124399853814,
-0.... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 500 |
e05275d14653e116f32640e6b82829a5 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 20, "source": 0, "target": 5}, {"weight": 14, "source": 1, "tar... | {"states": [342, 244], "expectation_value": -22.662175057211602, "params": [[-0.031200000000000002, -0.013000000000000001, 0.0791], [0.058300000000000005, 0.0618, -0.0468]], "bitstrings": ["010101001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.007719775001548535, 0.010796815446594795], "optimiza... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(6)) + 19.0 * Z(1) + 13.5 * Z(0) + 11.0 *... | 1 | 9 | 3 | {"smallest_eigenvalues": [-79.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 146.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.4425492888678123) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.4425492888678123) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.4425492888678123) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.4425492888678123) q[3];
cx q[0], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZZIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIZIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"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,
19,
13.5,
11,
13,
16,
9,
-3,
6,
3.5
] | 0.971772 | [
-0.4425492888678123,
2.0805051341880763,
-0.8059424329398818,
0.909658234555579,
0.5864643823955256,
0.4520557735563614,
2.1315789794619,
-1.545508813975371,
-1.3406375248769506,
-0.9044464262927957,
0.13583358901083126,
0.48780027186058117,
-0.6613907779366653,
-0.765987281107893,
0.924... | {
"n_parameters": 21,
"n_qubits": 9,
"optimal_eigenvalue": -79.5,
"target_ratio": 0.97,
"target_value": -77.115
} | 63 |
aff16494716409c93ae0c6b924acb428 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 6, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 7, "source": 1, "target": 2... | {"states": [9, 1], "expectation_value": -16.028299188387976, "params": null, "bitstrings": ["1110110", "1111110"], "total_optimization_steps": 26, "probabilities": [0.0842399858326309, 0.8771664858399296], "optimization_time": 19.128244638442993} | -1.5 * (Z(0) @ Z(3)) + -1.25 * (Z(5) @ Z(0)) + 3.0 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -2.0 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -1.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -2.25 * Z(3) + -0.25 * Z(0) + 0.75 * Z(5) + 3.0 * Z(6) + 1.25 * Z(1) + -2.5 * Z(2) + 0... | 1 | 7 | 4 | {"smallest_eigenvalues": [-17.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 17.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.17213197499966565) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(0.07476442289212104) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(-0.47901700998870134) q[4];
cx q[3], q[4];
rz(0.3504210231928404) q[3];
rx(0.01985686519069... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5709) 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", "... | [
"IIIZIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IZIIIZI",
"IIIZZII",
"IZIIZII",
"IIIIZZI",
"IIZZIII",
"IZZIIII",
"IIZIZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
-1.5,
-1.25,
3,
-0.25,
-0.25,
-0.5,
-2,
-0.5,
-1.25,
-0.75,
-2.25,
-0.25,
0.75,
3,
1.25,
-2.5,
0
] | 0.970352 | [
-0.17213197499966565,
-0.00464843643423988,
0.009698808451135995,
0.07476442289212104,
-0.47901700998870134,
0.02577905338994005,
-0.24727051080343204,
0.3504210231928386,
0.3119955203211965,
-0.8454856564029164,
0.2802866890985153,
-0.36926583491198095,
0.01985686519069632,
0.143665584847... | {
"n_parameters": 46,
"n_qubits": 7,
"optimal_eigenvalue": -17.25,
"target_ratio": 0.97,
"target_value": -16.732499999999998
} | 130 |
50803b752054f0512687e537ee7368f9 | 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": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}]} | {"states": [4, 20], "expectation_value": -2.4635777699893517, "params": [1.6071, 0.0041, 0.002, 0.0048000000000000004, 1.6113000000000002, 0.0056, 0.5334, 0.0014, 0.002, 0.0054, 0.0033, 0.0015, 0.0016, 0.0013000000000000002, 0.0058000000000000005], "bitstrings": ["11011", "01011"], "total_optimization_steps": 160, "pro... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(2) + -1.0 * Z(4) | 18 | 5 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["01011"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-3.118963683468091) q[0];
ry(-0.017918109517936636) q[1];
rz(-pi) q[1];
h q[2];
ry(1.5232555292397325) q[2];
ry(-0.11982451051349112) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.0455035030484382) q[3];
cx q[2], q[3];
cx q[2], q[0];
ry(-0.07016976767686646) ... | OPENQASM 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": []} | [
"IIIZZ",
"IZZII",
"ZIZII",
"IZIIZ",
"IIIZI",
"IIIIZ",
"IZIII",
"IIZII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-0.5,
-1
] | 0.997671 | [
-1.5523952299069044,
-1.4054683132329673,
1.5232555292397325,
-0.0910070060968764,
0.14033953535373292,
-0.02773759371322497,
-0.0009659747401112133
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
4d9ac715337d62f02411db1f75f87fba | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1103, 1101], "expectation_value": -76.74007684769913, "params": [0.8094, -0.003, -0.0006000000000000001, 0.5586, 0.3397, -0.1879, 0.005, 0.5901000000000001, 0.8034, 0.0074, -0.0064, 0.5797, 0.378, -0.1617, 0.807, -0.1085, 0.804, 0.0041, 0.4985, 0.2555, 0.8048000000000001, 0.10550000000000001, 0.809800000000... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(2) @ Z(7)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(8) @ Z(6)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10) @ Z(7)) + 7.5 * (Z(10) @ Z(2)) + 7.5 * (Z(10) @ Z(8)) + 7.5 * (Z(10) @ Z(9)) + -5.0 * Z(1) + -1.0 * Z(0) + -3.5 * Z(5) + 1.5 * Z(4) + 17.0 * Z(7) + 1.0 * Z(2) + 2.0 * Z(6) + 1... | 16 | 11 | 3 | {"smallest_eigenvalues": [-114.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -106.0, "smallest_bitstrings": ["01110110010"], "largest_eigenvalue": 158.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(2.9475944380215178) q[0];
rz(0.022639521087339354) q[0];
rx(0.3392944198655483) q[1];
rz(-0.20349671677079173) q[1];
rx(-0.28772196578118037) q[2];
rz(-0.20801087777287214) q[2];
rx(0.16971335465973958) q[3];
rz(1.2399580439799962) q[3];
rx(3.0831859583405725) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIZZIIII",
"IIIZIIIIZII",
"IIIZZIIIIII",
"IIZIZIIIIII",
"IZZIIIIIIII",
"ZIIZIIIIIII",
"ZIIIIIIIZII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIIZIIIIIII",
"IIIIIIIIZII",
"IIIIZIIIIII",
"IIZIIIIIIII",
"IZIIIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
-5,
-1,
-3.5,
1.5,
17,
1,
2,
14,
4.5,
24,
-12.5
] | 0.976183 | [
2.9475944380215178,
0.217807338278422,
0.3392944198655483,
-0.20349671677079173,
-0.28772196578118037,
-0.20801087777287214,
0.16971335465973958,
1.2399580439799962,
3.0831859583405725,
-0.20895763541061493,
0.12841870575215233,
0.1488386606820186,
0.12998456271741343,
3.110297168400015,
... | {
"n_parameters": 28,
"n_qubits": 11,
"optimal_eigenvalue": -114,
"target_ratio": 0.97,
"target_value": -110.58
} | 21 |
93141c357d164fcf2a36ba666f8f01e3 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 2, "target": 3}, {"source": 1, "target": 3}]} | {"states": [1783, 1781], "expectation_value": -5.923076398172945, "params": [0.7725000000000001, 0.4469, 1.4307, 0.32730000000000004, 1.4281000000000001, 0.11560000000000001, 0.7739, 0.5012, 1.4313, 0.3013, 1.4661000000000002, 0.0655, 1.5749, -0.0397, 1.5725, 0.23450000000000001, 0.8218000000000001, 0.4561, 1.5801, 0.1... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 16 | 12 | 2 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.75, "smallest_bitstrings": ["001001100010", "100100001010", "001001010100", "010010100001", "010010001100", "100100010001"], "largest_eigenvalue": 23.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1714898456555271) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.1714898456555271) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1714898456555271) q[1];
cx q[1], q[0];
rz(-0.24938667349607663) q[0];
cx q[1], q[0];
cx q[2], q[1];
h q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIZIIIIIIIIZ",
"IIZIIZIIIIII",
"IIZIIIIIZ... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1.25,
1.25,
1.25,
1,
1,
1,
1.25,
1.25,
1.25
] | 0.525188 | [
0.1714898456555271,
-0.24938667349607663,
1.1176635259891476,
0.8103834446690221,
-0.7718739166458187
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 163 |
-5863800654377472865 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 7], [8, 0, 3], [8, 2, 7], [8, 5], [8, 3, 6], [1, 2], [3, 5, 6, 7], [3, 4, 6], [0, 6, 7], [0, 3, 6]]} | {"states": [371, 378], "expectation_value": -3.333565016431522, "params": null, "bitstrings": ["010001100", "010000101"], "total_optimization_steps": 68, "probabilities": [0.07367030076991843, 0.8643302938502379], "optimization_time": 106.61919832229614} | 0.5 * (Z(1) @ Z(7)) + 0.16666666666666666 * (Z(8) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(7)) + 0.3333333333333333 * (Z(3) @ Z(8)) + 0.3333333333333333 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.1666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.4166666666666656], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.1666666666666665, "smallest_bitstrings": ["010000101"], "largest_eigenvalue": 8.5} | 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(0.929322863902648) q[1];
cx q[7], q[1];
h q[8];
cx q[7], q[8];
rz(0.043062175233182884) q[8];
cx q[7], q[8];
cx q[7], q[0];
rz(0.043062175233182884) q[0];
cx q[7], q[0];
cx q[7], q[3];
rz(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5547) q[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... | [
"IZIIIIIZI",
"ZZIIIIIII",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"IZIIIZIII",
"ZIIIIZIII",
"IIIIIZIIZ",
"IZIIIIZII",
"IIIIIIZZI",
"ZIIIIIZII",
"IZIZIIIII",
"ZIIZIIIII",
"IIIZIZIII",
"IZZIIIIII",
"ZIZIIIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IIZZIIIII",
"IIIIZZIII",
"IIZIZIIII",
"IZIIIIIII",
"... | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.08333333333333333,
0.5,
0.08333333333333333,
0.25,
0.16666666666666666,
0.3333333333333333,
0.583333333333... | 0.613737 | [
0.929322863902648,
0.043062175233182884,
-0.018783913883938616,
-0.01477473407098673,
0.05016202202492514,
1.5221422528975808,
1.1451055795964973,
-0.7028503378355395,
0.026129967248387512,
-0.8372158218496565,
-0.9270988335346828
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -3.4166666666666656,
"target_ratio": 0.97,
"target_value": -3.3141666666666656
} | 290 |
d576b64149ed4af7fd9893f4ff01f3b9 | 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": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, ... | {"states": [0, 1], "expectation_value": -6.3709382339516765, "params": [0.004, 0.343, 0.6036, 0.1262, 0.0028, 0.5894, 0.0026000000000000003, -0.5524, 0.0023, 0.43360000000000004, 0.0024000000000000002, 0.5890000000000001, 0.0028, 0.5779000000000001, 0.8091, 0.0007, 0.0025, 0.0094, 0.6034, 0.008700000000000001, 0.0028, ... | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(3)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + -0.25 * Z(4) + 1.5 * Z(7) + -1.0 * Z(5) + ... | 3 | 8 | 2 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["11111110", "10111110"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.06203454328157315) q[0];
rz(1.7887330621738506) q[0];
rx(0.22753164172954793) q[1];
rz(1.5181402961268304) q[1];
rx(-0.16557256063745113) q[2];
rz(1.758778103001907) q[2];
rx(0.0833675557820221) q[3];
rz(1.780349234902019) q[3];
rx(-0.11709564333793254) q[4];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"ZIIIIIIZ",
"IIZIZIII",
"IIZIIIZI",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIIIIZI",
"IZIIIIII"
] | [
-0.25,
-0.75,
-0.25,
-0.75,
1.5,
-0.5,
-0.5,
-0.75,
-0.25,
-0.75,
0,
-0.25,
0.25,
-0.25,
1.5,
-1,
0.5,
-0.75
] | 0.971621 | [
0.06203454328157315,
0.21793673537895467,
0.22753164172954798,
-0.05265603066806612,
-0.16557256063745113,
0.18798177620701023,
0.0833675557820221,
0.20955290810712235,
-0.11709564333793253,
0.3585331632266594,
-0.14002182277844039,
0.5406853858436055,
-0.026565483873495943,
0.331897582781... | {
"n_parameters": 86,
"n_qubits": 8,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 8 |
8470a505a235a52c7e040d2c2783df5f | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}, {"id": 15}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"sourc... | {"states": [0, 32767], "expectation_value": -58.17617778088242, "params": [[[0.0022, 1.6102], [0.0025, 0.0021000000000000003], [0.0023, 0.002], [0.0017000000000000001, 0.0022], [-0.0035, 0.0027], [-0.004, 0.0031000000000000003], [0.002, 0.0025], [0.0016, 0.0019], [0.0026000000000000003, 0.0022], [-0.0023, -0.0026000000... | -3.0 * (Z(0) @ Z(1)) + -3.5 * (Z(8) @ Z(1)) + -3.5 * (Z(8) @ Z(0)) + -3.0 * (Z(10) @ Z(1)) + -3.0 * (Z(10) @ Z(0)) + -3.5 * (Z(10) @ Z(8)) + -3.5 * (Z(11) @ Z(1)) + 1.5 * (Z(11) @ Z(0)) + -4.0 * (Z(11) @ Z(8)) + -3.5 * (Z(11) @ Z(10)) + -3.0 * (Z(12) @ Z(1)) + 1.5 * (Z(12) @ Z(0)) + -3.5 * (Z(12) @ Z(8)) + -3.0 * (Z(12... | 15 | 15 | 1 | {"smallest_eigenvalues": [-62.49999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.49999999999986, "smallest_bitstrings": ["000000000000000"], "largest_eigenvalue": 57.499999999999964} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(-0.00017042355185205305) q[0];
ry(0.05279196818242627) q[1];
ry(-0.03340246724617038) q[2];
ry(0.16300789051041392) q[3];
ry(-0.08178353571338988) q[4];
ry(-0.04245727646356899) q[5];
ry(-0.08375511129571468) q[6];
ry(0.13714891621873715) q[7];
ry(-0.028862208851695... | OPENQASM 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": 13} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIZIIIIIIZI",
"IIIIIIZIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZIIIIIIIIIZ",
"IIIIZIZIIIIIIII",
"IIIZIIIIIIIIIZI",
"IIIZIIIIIIIIIIZ",
"IIIZIIZIIIIIIII",
"IIIZZIIIIIIIIII",
"IIZIIIIIIIIIIZI",
"IIZIIIIIIIIIIIZ",
"IIZIIIZIIIIIIII",
"IIZIZIIIIIIIIII",
"IIZZIIIIIIIIIII",
"... | [
-3,
-3.5,
-3.5,
-3,
-3,
-3.5,
-3.5,
1.5,
-4,
-3.5,
-3,
1.5,
-3.5,
-3,
1.5,
0.5,
0.5,
-3.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-4,
-3,
-2.5,
0.5,
-2.5,
0.5,
-3,
0.5,
0.5,
-3,
0.5,
0.5,
-2,
-3.5,
1,
0.5,
-2.5,
1,
0.5,
0.5,
0.5,... | 0.977738 | [
-0.00017042355185205305,
0.05279196818242627,
-0.03340246724617038,
0.16300789051041392,
-0.08178353571338988,
-0.04245727646356899,
-0.08375511129571468,
0.13714891621873715,
-0.028862208851695756,
-0.12698471321619065,
0.013050287357138451,
-0.1024863957407773,
2.613259096367936,
0.03365... | {
"n_parameters": 17,
"n_qubits": 15,
"optimal_eigenvalue": -62.49999999999998,
"target_ratio": 0.97,
"target_value": -60.62499999999998
} | 17 |
e5362bdf5e727045ae0e3b514af6e6e2 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [21, 29], "expectation_value": -1.8684626100390385, "params": [[0.059300000000000005, 0.06330000000000001, 0.061000000000000006], [-0.042300000000000004, -0.0524, -0.047]], "bitstrings": ["101010", "100010"], "total_optimization_steps": 10, "probabilities": [0.03308914153155576, 0.03344064927043276], "optimi... | -0.25 * (Z(0) @ Z(2)) + -1.0 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(5)) + 1.25 * Z(2) + -0.25 * Z(0) + -2.5 * Z(4) + 0.0 * Z(1) + -0.5 * Z(5) + 2.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["100010"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.6613510471018691) q[0];
h q[1];
ry(0.6363557243035431) q[1];
h q[2];
ry(0.8762410042703717) q[2];
h q[3];
ry(1.5797614988899453) q[3];
h q[4];
ry(-1.3227020942037382) q[4];
h q[5];
cx q[5], q[0];
ry(0.6613510471018691) q[0];
cx q[5], q[0];
ry(-0.1472698311... | OPENQASM 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": []} | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"IZIIZI",
"ZIIIIZ",
"ZIIIZI",
"IIZZII",
"IIZIZI",
"ZIZIII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"ZIIIII",
"IIZIII"
] | [
-0.25,
-1,
-1.25,
-0.75,
1.75,
-1,
-0.5,
-1.25,
-1.25,
1.25,
-0.25,
-2.5,
0,
-0.5,
2
] | 0.973802 | [
-1.3227020942037382,
1.5797614988899453,
1.7411868845926435,
-0.2945396623583815,
1.2727114486070863,
0.4993285531882329,
1.7524820085407433,
-0.23870673944423812,
-0.4358087178782579,
0.06835119046574256,
-0.27794874849023343,
-0.29686600510111416,
0.5459314081296203,
-0.5128761408398687,... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 64 |
d84f9d44a9dfbf26b97835693b75dc35 | 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": 7, "source": 0, "target": 2}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 6, "source": 2, "target": 4... | {"states": [3, 11], "expectation_value": -10.86205513992682, "params": [[[0.0025, 0.7247], [-0.0031000000000000003, 0.8264], [-0.0013000000000000002, 0.8224], [0.5875, -0.0012000000000000001], [-0.0034000000000000002, 0.7974], [0.9781000000000001, 0.0004], [1.0651000000000002, -0.0012000000000000001]], [[0.0044, 0.7491... | -1.75 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -1.75 * Z(2) + -0.25 * Z(0) + 1.0 * Z(1) + 0.5 * Z(3) + -0.75 * Z(4) + 0.75 * Z(6) + 0.5 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["1110100"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.0544957536205479) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.5557826562327215) q[1];
cx q[2], q[1];
h q[3];
cx q[1], q[3];
rz(-0.0032907376431637395) q[3];
cx q[1], q[3];
h q[4];
cx q[2], q[4];
rz(-0.5557826562327215) 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": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIIZZI",
"IIIZIZI",
"IIZIZII",
"IIZIIZI",
"ZIIIIIZ",
"ZIIZIII",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
-1.75,
-1.5,
-0.25,
-1.5,
-0.75,
2,
-1.25,
-0.5,
-1.75,
-0.25,
1,
0.5,
-0.75,
0.75,
0.5
] | 0.970515 | [
-0.0544957536205479,
-0.5557826562327215,
-0.0032907376431637395,
0.299953952003397,
0.05659349816966682,
-0.066347426645714,
-0.027618368665391912,
0.24420021272805226,
-1.0163539925721223,
0.3888089131107649,
-1.3118888107954043,
0.3953896828377394,
-0.4523545525544179,
0.702687476802465... | {
"n_parameters": 44,
"n_qubits": 7,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 168 |
2ee51013acda191f703ffb893493c226 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capac... | {"states": [3, 1], "expectation_value": -0.34515837231637103, "params": [[0.07540000000000001], [-0.0649]], "bitstrings": ["1111111100", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.0013199428633027933, 0.0013293515668019694], "optimization_time": 2.9201722145080566} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(4)) + -1.0 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(7)) + -0.75 * (Z(3... | 1 | 10 | 1 | {"smallest_eigenvalues": [-9.25, -9.25, -9.25, -9.25, -9.25, -9.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -8.25, "smallest_bitstrings": ["1111111110", "1110101110", "1111111100", "1111101100", "1110101100", "1111101110"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.09629260297793997) q[0];
rz(1.8517256343602853) q[0];
rx(0.09906788189421842) q[1];
rz(1.9451869590620134) q[1];
rx(0.02892545239069943) q[2];
rz(2.003018469614699) q[2];
rx(-0.0073791440975656064) q[3];
rz(1.783977364738032) q[3];
rx(0.2559834990973146) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIZIIIIIZI",
"IIZIIIIZII",
"IIZIIZIIII",
"IIIZIIIZII",
"IIIZIZIIII",
"IIZZIIIIII",
"IIIIIIZIZI",
"IIZIIIZIII",
"IIIZIIZIII",
"ZIIIIIIIIZ",
"ZIIIIIZIII",
"IIIZZIIIII",
"IIIIZIZIII",
"ZIIIZIIIII",
"IZIZIIIIII"... | [
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.5,
-0.25,
-0.5,
-1,
-0.5,
-0.75,
-0.25,
-0.75,
-0.75,
1.5,
-0.75,
-0.25,
-0.25,
-0.25,
-0.25,
0.25,
-0.25,
-0.75,
0.25,
-1.25,
0,
0.75,
0.5,
0.25,
0.25
] | 0.974729 | [
0.09629260297793998,
0.28092930756538914,
0.09906788189421842,
0.37439063226711644,
0.028925452390699435,
0.43222214281980254,
-0.007379144097565606,
0.2131810379431349,
0.25598349909731455,
0.03527527060500375,
0.11765190340959102,
-0.06688611200548515,
-0.006641195680597643,
0.2849079189... | {
"n_parameters": 128,
"n_qubits": 10,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 20 |
23b9bdf3a0cf36b2670f2324e5b7a3b3 | 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": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5},... | {"states": [0, 511], "expectation_value": -11.385835345793772, "params": [0.006500000000000001, -1.8452000000000002, -0.0089, 0.0017000000000000001, 0.0018000000000000002, 1.3576000000000001, 0.0016, 0.0014, -0.2627, 0.6116, 0.6069, 0.0053, -0.7709, 0.46180000000000004, 0.7114, 0.0059, 0.8062, 1.3204, 0.2712, 0.0018000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + -1.5 * (Z(10) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(10)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7)... | 6 | 11 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["11000000000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.1378604361436234) q[0];
rz(2.371216038226251) q[0];
rx(-0.6675826519795717) q[1];
rz(-2.989684856271685) q[1];
rx(1.5201918806054182) q[2];
rz(1.3417265571219277) q[2];
rx(0.6619251621547098) q[3];
rz(2.375082397068926) q[3];
rx(0.4820762427365239) q[4];
rz(1.847... | OPENQASM 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": []} | [
"IIIIIIIIIZZ",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIZZIIII",
"IIZZIIIIIII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"ZIIIIIIIZII",
"IIIIIIIZZII",
"ZIIIIIIZIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIZIIIIII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIZIIIIIII",
"IZIIIIIIIII",
"IIIIIIIIZ... | [
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.923562 | [
-0.1378604361436234,
0.8004197114313544,
-0.6675826519795717,
1.7227041241130048,
1.5201918806054187,
-0.22906976967296877,
0.6619251621547098,
0.8042860702740292,
0.48207624273652394,
0.2764907248322506,
-0.5675744854935185,
0.15632389579373596,
-0.25797449405976725,
0.7488575827733567,
... | {
"n_parameters": 213,
"n_qubits": 11,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 500 |
e26a7b0ced2794f5e9fb233975a2bd69 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 4... | {"states": [61437, 61438], "expectation_value": -20.53590645648977, "params": null, "bitstrings": ["0001000000000010", "0001000000000001"], "total_optimization_steps": 100, "probabilities": [0.07492382283023072, 0.5484021995089197], "optimization_time": 803.2017002105713} | 0.5 * (Z(4) @ Z(13)) + 1.0 * (Z(14) @ Z(13)) + 0.5 * (Z(14) @ Z(4)) + 0.5 * (Z(5) @ Z(13)) + 1.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(14)) + -0.5 * (Z(6) @ Z(13)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(14)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(13)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(14)) + 0.5 * (Z(7) @ Z(5)) ... | 1 | 16 | 3 | {"smallest_eigenvalues": [-20.999999999999908], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.999999999999595, "smallest_bitstrings": ["0001000000000001"], "largest_eigenvalue": 56.25000000000014} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(-0.532218750852081) q[0];
rz(-0.23670284243252127) q[0];
rx(0.3741699073439885) q[1];
rz(0.4934594354813604) q[1];
cx q[1], q[0];
rz(0.3829938625086575) q[0];
cx q[1], q[0];
rz(-1.4402511638052853) q[0];
ry(0.6108400779045863) q[0];
rz(1.9626296906473204) q[0];
rx(-... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\nry(0.4397) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3... | [
"IIZIIIIIIIIZIIII",
"IZZIIIIIIIIIIIII",
"IZIIIIIIIIIZIIII",
"IIZIIIIIIIZIIIII",
"IIIIIIIIIIZZIIII",
"IZIIIIIIIIZIIIII",
"IIZIIIIIIZIIIIII",
"IIIIIIIIIZIZIIII",
"IZIIIIIIIZIIIIII",
"IIIIIIIIIZZIIIII",
"IIZIIIIIZIIIIIII",
"IIIIIIIIZIIZIIII",
"IZIIIIIIZIIIIIII",
"IIIIIIIIZIZIIIII",
"IIIIIII... | [
0.5,
1,
0.5,
0.5,
1,
0.5,
-0.5,
0.5,
-0.5,
0.5,
-0.5,
0.5,
-0.5,
0.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
0.375,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
1,
-0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
... | 0.978104 | [
-0.5322187508520813,
0.1462910200761373,
0.3741699073439885,
0.4934594354813604,
0.6289236533584328,
-0.00968127929361059,
0.3470593711482598,
-0.01955911238111324,
0.3304506711477374,
0.07680225456727892,
0.4245100485287902,
-0.04433256622829804,
0.47901742355234317,
0.13127803375049976,
... | {
"n_parameters": 204,
"n_qubits": 16,
"optimal_eigenvalue": -20.99999999999988,
"target_ratio": 0.97,
"target_value": -20.369999999999884
} | 1 |
9549964f1bad9d8041c30a1733d66104 | 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": 4, "target": 5},... | {"states": [0, 2047], "expectation_value": -33.07165956503553, "params": [[[0.0022, 1.5998], [0.0022, 0.0025], [0.0018000000000000002, 0.0021000000000000003], [0.0024000000000000002, 0.002], [-0.0043, 0.0023], [0.0035, 0.003], [-0.0017000000000000001, -0.0027], [0.0024000000000000002, 0.0023], [0.0019, 0.002], [0.00210... | -1.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(1) @ Z(5)) + -3.0 * (Z(6) @ Z(7)) + -4.0 * (Z(10) @ Z(7)) + -3.0 * (Z(10) @ Z(6)) + -3.5 * (Z(9) @ Z(7)) + 1.0 * (Z(9) @ Z(6)) + -4.0 * (Z(9) @ Z(10)) + -3.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(6)) + 1.5 * (Z(2) @ Z(10)) +... | 15 | 11 | 1 | {"smallest_eigenvalues": [-35.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.5, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 34.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(1.3468582824634014) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.240652859206523) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(0.24065285920652313) q[4];
rx(1.0128016686268444) q[4];
rz(0.4988274923559804) q[5];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIIIZIIIIZ",
"IIIIIIIIIZZ",
"IIIIIZIIIZI",
"IIIZZIIIIII",
"ZIIZIIIIIII",
"ZIIIZIIIIII",
"IZIZIIIIIII",
"IZIIZIIIIII",
"ZZIIIIIIIII",
"IIIZIIIIZII",
"IIIIZIIIZII",
"ZIIIIIIIZII",
"IZIIIIIIZII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"ZIZIIIIIIII",
"IZZIIIIII... | [
-1.5,
0.5,
-2,
0.5,
-1.5,
-3,
-4,
-3,
-3.5,
1,
-4,
-3.5,
0.5,
1.5,
-3,
1.5,
0.5,
-3.5,
-3,
-2.5,
0.5,
0.5,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
1,
1.5,
-2.5,
1.5,
1,
0.5
] | 0.564475 | [
1.3468582824634014,
0.240652859206523,
0.4988274923559804,
0.59543045849297,
0.5329134372965934,
0.515311002887406,
0.22873335399055672,
0.2998475184402763,
0.53773577073868,
1.0128016686268444
] | {
"n_parameters": 10,
"n_qubits": 11,
"optimal_eigenvalue": -35.5,
"target_ratio": 0.97,
"target_value": -34.435
} | 245 |
678308485f35da941d402fc5065b7236 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4},... | {"states": [399, 1935], "expectation_value": -1.4550941928964414, "params": [[-0.0854], [0.08]], "bitstrings": ["11001110000", "00001110000"], "total_optimization_steps": 10, "probabilities": [0.0009957293904844337, 0.0010476961076048288], "optimization_time": 1.7759463787078857} | -1.0 * (Z(0) @ Z(1)) + -2.0 * (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)) + 0.5 * (Z(9) @ Z(7)) + -1.5 * (Z(10) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(10)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.5 * Z(5) + 1.5 * Z(4) + -1.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7... | 5 | 11 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["00001110000"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.5481103524397535) q[0];
rz(-3.103331799771918) q[0];
rx(1.560093255132442) q[1];
rz(3.1310534440691393) q[1];
rx(-1.619022593658862) q[2];
rz(-2.672828630801667) q[2];
rx(-2.7656637140768288) q[3];
rz(-3.0074535280519985) q[3];
rx(-1.9190737033754e-05) q[4];
rz(-2... | 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[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[5... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IIZZIIIIIII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"ZIIIIIIIZII",
"IIIIIIIZZII",
"ZIIIIIIZIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIZIIIIIIII",
"IIIZIIIIIII",
"IZIIIIIIIII",
"IIIIIIIIZ... | [
-1,
-2,
-2,
-2,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
-1.5,
1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.930405 | [
1.5481103524397537,
1.6090571806127716,
1.5600932551324418,
1.560257117274243,
-1.619022593658862,
2.039560349583023,
-2.7656637140768288,
1.7049354523326916,
-0.000019190737033754,
1.9340141348648183,
-0.004259667670823433,
2.138417289127366,
2.580235801148031,
2.9501187589762066,
1.406... | {
"n_parameters": 47,
"n_qubits": 11,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 500 |
5fcc80649738bc6ebb5e6ed34bbe4c7e | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 10, "source": 0, "... | {"states": [235, 218], "expectation_value": -2.4338814863615115, "params": [[0.0173], [-0.0151]], "bitstrings": ["100010100", "100100101"], "total_optimization_steps": 10, "probabilities": [0.0021427046908223195, 0.0021786555494247577], "optimization_time": 2.0453062057495117} | 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-93.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -85.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 191.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(0.010140391540180461) q[1];
cx q[0], q[1];
h q[2];
cx q[0], q[2];
rz(0.010140391540180461) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.010140391540180461) q[4];
cx q[1], q[4];
cx q[4], q[2];
rz(0.010140391540180461) q[2];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIIIZZII",
"IIIZIIIIZ",
"IIIZIIZII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIIZII",
"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,
9.5,
19,
20.5,
19,
5,
16,
0.5,
22.5,
7
] | 0.970303 | [
0.010140391540180461,
-0.8817694782888895,
1.3155263900677148,
1.4508759433310259,
-0.8101524928797088,
1.3137525011632658,
-1.6824904086684709,
1.3585931394344348,
-1.481841102148397,
-1.6431853813891013,
0.03533870379598659,
-0.15660633617743086,
-1.9455151141205964,
-0.885918599559516,
... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -93,
"target_ratio": 0.97,
"target_value": -90.21
} | 76 |
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