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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
7d8b3d8ceec2d81b644dfcbc98592f50 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [50, 9], "expectation_value": -0.423789630856736, "params": [[-0.001, 0.0505, 0.0719], [0.034, -0.028800000000000003, -0.0512]], "bitstrings": ["001101", "110110"], "total_optimization_steps": 10, "probabilities": [0.01798931133274347, 0.018639381696655553], "optimization_time": 5.5141191482543945} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(2) + 0.0 * Z(0) + -1.5 * Z(1) + -1.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["110110", "011101", "011110", "001111", "011011"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.39269904215198215) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[1];
rz(-0.39269904215198215) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.39269904215198215) q[2];
cx q[3], q[2];
h q[4];
cx q[4], q[1];
rz(-0.39269904215198215) q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIIZZI",
"IIZZII",
"IIZIZI",
"IZIZII",
"IZIIZI",
"IZZIII",
"ZIIIZI",
"ZIZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1.5,
-1.5,
-1.5,
-1
] | 0.521773 | [
-0.39269904215198215,
0.39269904771702413,
-0.785398098795778,
0.7853982839147303,
1.9634955101122697,
0.7016820247458506
] | {
"n_parameters": 6,
"n_qubits": 10,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 155 |
c5d57071b024d109c38c43678d62eaf1 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}]} | {"states": [24, 56], "expectation_value": -3.457239884029107, "params": [[-0.1297], [0.20620000000000002]], "bitstrings": ["100111", "000111"], "total_optimization_steps": 30, "probabilities": [0.030781610896457905, 0.03158217726811869], "optimization_time": 2.1177890300750732} | 0.9 * (Z(0) @ Z(1)) + 1.8 * (Z(2) @ Z(1)) + 0.9 * (Z(2) @ Z(0)) + -0.1 * (Z(3) @ Z(4)) + -0.2 * (Z(5) @ Z(4)) + -0.1 * (Z(5) @ Z(3)) + 4.5 * Z(1) + 2.25 * Z(0) + 4.5 * Z(2) + -0.5 * Z(4) + -0.25 * Z(3) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-9.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.4, "smallest_bitstrings": ["000111"], "largest_eigenvalue": 15.700000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.770690699219718) q[0];
h q[1];
ry(1.4871712470846223) q[1];
ry(-2.708001184483433) q[2];
rz(-pi) q[2];
cx q[1], q[2];
ry(-0.4298731353811252) q[2];
cx q[1], q[2];
cx q[1], q[0];
ry(-0.770690699219718) q[0];
cx q[1], q[0];
ry(0.1454074864826947) q[0];
ry(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZZIII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.9,
1.8,
0.9,
-0.1,
-0.2,
-0.1,
4.5,
2.25,
4.5,
-0.5,
-0.25,
-0.5
] | 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 |
-2226108769005669384 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[3, 5], [9, 4, 6], [0, 1, 7], [9, 3], [3, 6], [8, 9, 5, 7], [0, 2, 4, 8, 9], [4, 7], [0, 4, 5], [9, 2, 7], [0, 2, 5], [0, 9, 5]]} | {"states": [797, 541], "expectation_value": -3.73891682699736, "params": [3.1416, -0.0073, 1.4767000000000001, 1.8762, 0.2539, 1.4033, -0.0021000000000000003, -0.9099, -0.0024000000000000002, 1.0537, 2.4527, -0.0026000000000000003, 2.8466, 0.0029000000000000002, 3.1432, -0.0015, 3.4887, 0.26930000000000004, 3.0945, 0.0... | 0.5 * (Z(3) @ Z(5)) + 0.25 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.21666666666666667 * (Z(4) @ Z(9)) + 0.5 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(9)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + 0.21666666666666667 * (Z(0) @ Z(9)) + 0.21666666666666667... | 4 | 10 | 1 | {"smallest_eigenvalues": [-3.9166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.8666666666666667, "smallest_bitstrings": ["0111100010"], "largest_eigenvalue": 9.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(2.9923750937425173) q[0];
rz(1.6256268469653792) q[0];
rx(0.8387593470453915) q[1];
rz(-2.929275274171083) q[1];
rx(0.19809093992929733) q[2];
rz(2.8061403023859857) q[2];
rx(0.006324495652803886) q[3];
rz(0.6133227196785662) q[3];
rx(0.05195245468020782) q[4];
rz(2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZIII",
"ZIIIZIIIII",
"ZIIIIIZIII",
"IIIIZZIIII",
"ZIIIIZIIII",
"IIIZIIZIII",
"ZIIZIIIIII",
"IIIZIZIIII",
"IIIIZIIIIZ",
"ZIIIIIIIIZ",
"IIIIIZIIIZ",
"IIIIIIIIZZ",
"IIZIZIIIII",
"ZIZIIIIIII",
"IIZIIZIIII",
"IIZIIIIIIZ",
"IIZIIIIIZI",
"IZIIZIIIII",
"ZZIIIIIIII",
"IZIIIZIIII"... | [
0.5,
0.25,
0.5,
0.16666666666666666,
0.21666666666666667,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.21666666666666667,
0.21666666666666667,
0.16666666666666666,
0.08333333333333333,
0.25,
0.5,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.1333333333... | 0.977339 | [
2.9923750937425173,
0.05483052017048268,
0.8387593470453915,
1.7831137062136073,
0.19809093992929733,
1.2353439755910893,
0.006324495652803886,
-0.9574736071163303,
0.05195245468020784,
1.2736644446299488,
2.3632497112816395,
-0.09548496831840915,
2.640525409981846,
0.09825530483501134,
... | {
"n_parameters": 28,
"n_qubits": 10,
"optimal_eigenvalue": -3.9166666666666665,
"target_ratio": 0.97,
"target_value": -3.7991666666666664
} | 8 |
d5c9e2c60adcce2a7bd44a74474e515b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, ... | {"states": [187, 185], "expectation_value": -1.7831572688016375, "params": [-0.0038, -0.0049, 0.6014, 0.5975, -0.0038, -0.0092, 0.5988, 0.5926, 0.5971000000000001, 0.5885, 0.5944, 0.5936, 0.084, 0.0757, 0.2937, 0.30560000000000004, 0.5969, 0.6024, -0.0111, -0.0102, 0.6045, 0.5978, -0.009000000000000001, -0.0103, 0.5993... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(7) @ Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(7) @ Z(1)) + 0.125 ... | 14 | 9 | 2 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.125, "smallest_bitstrings": ["100101100", "100101001", "110100100", "011000110", "101010001", "011010100", "011010001", "101000110",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.06491193756964622) q[0];
rz(0.07529977947409294) q[0];
ry(0.23742091791802283) q[1];
ry(0.07766255112857626) q[2];
ry(0.47052276345903) q[3];
ry(0.39725956148730496) q[4];
ry(0.42926103817060673) q[5];
ry(0.09530470417953064) q[6];
ry(-0.03811340140983269) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIZZZIIII",
"IIIIZZIII",
"IZIIIZIII",
"IZIIZIIII",
"IZIIZZIII",
"IIIZIIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IZIZIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IZIZIIIZI",
"ZIIZIIIZI",
"ZZIIIIIZI",
"ZZIZIIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
-0.5,
-0.125,
-0.5,
-0.25,
0,
0.125,
-0.25,
0.125,
-0.125
] | 0.97713 | [
-0.06491193756964622,
0.23742091791802283,
0.07766255112857626,
0.47052276345903,
0.39725956148730496,
0.42926103817060673,
0.09530470417953064,
-0.03811340140983269,
0.7443234373539951,
0.15059955894818589,
-0.22808838527589015,
0.18678011820363896,
0.2606838079152155,
-0.1368076453033955... | {
"n_parameters": 105,
"n_qubits": 9,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 15 |
2093750442350825356 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 3, 5], [4, 5], [0, 1], [2, 5]]} | {"states": [37, 21], "expectation_value": -0.7084936454576373, "params": [[[1.5358, 0.0063, 0.008700000000000001, 0.0027], [1.5673000000000001, 0.0029000000000000002, 0.7835000000000001, 0.006900000000000001], [1.365, 0.0095, 0.0073, 0.0025], [0.1812, 0.0029000000000000002, 1.5564, 0.0021000000000000003], [1.3798000000... | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.16666666666666666 * Z(3) + 0.16666666666666663 * Z(0) + 0.16666666666666674 * Z(5) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) | 12 | 6 | 1 | {"smallest_eigenvalues": [-1.8333333333333333, -1.8333333333333333, -1.8333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.5000000000000002, "smallest_bitstrings": ["101010", "011110", "010001"], "largest_eigenvalue": 2.4999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.4319944567091265) q[1];
cx q[0], q[1];
ry(0.4319944567091265) q[1];
cx q[0], q[1];
ry(1.2037535006886102) q[0];
ry(-0.886197650828631) q[1];
h q[2];
ry(-0.7433238344675752) q[2];
h q[3];
ry(-0.40034899211237607) q[3];
h q[4];
ry(-0.4319944567091265... | OPENQASM 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": []} | [
"IIZIIZ",
"ZIZIII",
"ZIIIIZ",
"ZZIIII",
"IIIIZZ",
"ZIIZII",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IZIIII",
"IIIIZI",
"IIIZII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666663,
0.16666666666666674,
0,
0,
0
] | 0.971781 | [
-0.863988913418253,
1.2513054155645487,
-1.4866476689351504,
-0.7655262991110451,
1.2037535006886102,
0.25069984193749506,
-0.6621992161601209,
0.41794027903975894,
-0.4479968693370204,
-0.8006979842247521,
-0.4355825986571736,
-0.3118781648756688,
-0.09833392917326551,
-0.3323515641600026... | {
"n_parameters": 32,
"n_qubits": 6,
"optimal_eigenvalue": -1.8333333333333333,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 12 |
60093ea65732b343d8ac63be7dcb7e35 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 2... | {"states": [98, 63], "expectation_value": -5.249370902164646, "params": [[-0.003, -0.0031000000000000003, 0.7805000000000001, 0.0068000000000000005, 0.7815000000000001, 0.0031000000000000003, -0.003], [-1.5884, 0.7855000000000001, 1.5709000000000002, 0.0023, 1.5772000000000002, 0.7852, -1.5862], [-1.5843, 1.5686, 1.571... | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(5) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -2.0 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -2.25 * (Z(2) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + 0.75 * Z(3) + -0... | 9 | 7 | 3 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.12178335334348857) q[0];
ry(-0.007869263321115441) q[1];
ry(0.20801576466635258) q[2];
ry(0.008570263910213836) q[3];
ry(0.34213852368782627) q[4];
ry(0.15534073098527798) q[5];
ry(2.3070424566561436) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IZIIIIZ",
"ZIIZIII",
"ZIIIIIZ",
"ZZIIIII",
"IZIIIZI",
"IIIZZII",
"IZIIZII",
"IIIIZZI",
"IIZZIII",
"IZZIIII",
"IIZIIZI",
"IIZIZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
-0.5,
-0.25,
-1.25,
1,
-0.75,
-2,
-1,
-0.5,
-2.25,
-1,
-2,
-0.75,
-0.25,
0.75,
-0.25,
1,
-1,
1.5,
0.5,
-2.5
] | 0.973536 | [
-0.12178335334348857,
-0.007869263321115441,
0.20801576466635258,
0.008570263910213836,
0.34213852368782627,
0.15534073098527798,
2.3070424566561436,
0.13094827649235985,
-0.012413090717661241,
-0.022855341959053286,
0.0405743205535201,
-0.14347087381773754,
-0.03993434266620357,
0.0933760... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 29 |
07dc38d1dc363182151755eeee21e61e | 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": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, ... | {"states": [91, 127], "expectation_value": -2.249906288102795, "params": [[0.004200000000000001, -0.0021000000000000003, -0.0063, 0.7823, 0.7817000000000001, -0.0006000000000000001, 0.0025, 0.001], [0.002, 0.0115, 0.002, -0.0103, -0.07830000000000001, -0.0021000000000000003, -0.0045000000000000005, -0.0022], [0.9017000... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(4)) + -1.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -1.25 * (Z(7) @ Z(1)) + 1.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(4)) + -2.25 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @... | 9 | 8 | 4 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(-5.135206862499014e-07) q[0];
h q[0];
rx(-1.0866163553076218e-07) q[1];
h q[1];
rx(0.0194805872738... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"IZIZIIII",
"IIZIIIZI",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIZZII",
"IIIZIZII",
"ZIIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZII"
] | [
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-1.25,
-1.5,
-1,
-1.25,
1.75,
-0.75,
-2.25,
-1,
-1.25,
0.5,
-0.25,
0,
1.5,
-0.25,
0,
-1.5,
0
] | 0.195652 | [
-5.135206862499014e-7,
-1.0866163553076218e-7,
0.019480587273897846,
0.977683709348563,
0.8263827168396609,
-0.12240171832566504,
-7.337275034990325e-8,
3.936838968556609e-7,
-1.8852554131208358e-7,
-0.019480723463502873,
-0.12064363564363532,
-0.20277298075242142,
0.12240156398596434,
-3.... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 500 |
b2c25a19a038d07471a5450910ba4971 | vertex_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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [6, 12], "expectation_value": -1.9116322463073194, "params": null, "bitstrings": ["11001", "10011"], "total_optimization_steps": 18, "probabilities": [0.06012643125650563, 0.7888196926426534], "optimization_time": 10.673032999038696} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) + -1.0 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["01101", "10011", "11001", "00111", "01110"], "largest_eigenvalue": 5.0} | 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... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIZIZ",
"IZIZI",
"ZIZII",
"ZZIII",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"IIIZI",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-0.5,
-0.5,
-1
] | 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 |
fb354d60453679d679afcbc2ef259e36 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [243, 227], "expectation_value": -1.1623498800909258, "params": [1.0098, -0.0882, 0.9981000000000001, -0.1885, 1.0008000000000001, -0.1458, 0.7618, -0.2369, 0.0964, -0.44820000000000004, 0.3541, 0.3453, 1.0017, 0.307, 0.9937, 0.0944, 1.0103, 0.0027, 1.0015, 0.0086, 1.0048000000000001, 0.009600000000000001, 0... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0... | 18 | 8 | 2 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.125, "smallest_bitstrings": ["00011100", "01001010", "10000101"], "largest_eigenvalue": 5.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.771457845796399) q[0];
rz(0.20583293908457456) q[0];
rx(0.9226641717609871) q[1];
rz(0.16372671104574926) q[1];
cx q[1], q[0];
rz(-0.04382293817596074) q[0];
cx q[1], q[0];
rx(0.7533216915569005) q[0];
rz(0.05206125349230284) q[0];
rz(0.06315738960408568) q[1];
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",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIIZZIZ",
"IIIIZZZI",
"IIIIZZZZ",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIIZII",
"IZIIIZII",
"IZZIIIII",
"IZZIIZII",
"IZIIZIII",
"ZIIIZIII",
"ZZIIIIII",
"ZZIIZIII",
"ZIIZIIII",
"IIIIIII... | [
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,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.125,
-0.125,
0.125,
0.125,
-0.5,
-0.25,
0,
-0.25
] | 0.97422 | [
0.7714578457963991,
0.16201000090861373,
0.9226641717609871,
0.16372671104574926,
1.1584520372173939,
-0.006876482614402969,
0.0444164020346387,
0.25393271130854,
-0.047803904028318286,
-0.03324698493440209,
-0.03689418107124742,
0.10406937110530717,
0.643156446848987,
0.15964110472260815,... | {
"n_parameters": 88,
"n_qubits": 8,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 13 |
-522717970595460163 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 3, 6, 7, 8], [8, 1, 2, 5], [8, 0, 4], [1, 4, 7], [3, 4, 6], [2, 3, 5, 7], [0, 1, 2, 6, 7, 8], [1, 5, 6], [0, 2, 4, 7]]} | {"states": [127, 95], "expectation_value": -1.4729401558834359, "params": [1.0773000000000001, 0.046, 0.891, 0.0068000000000000005, 0.9207000000000001, 0.0546, 0.8684000000000001, 0.0059, 1.0997000000000001, -0.015600000000000001, 1.0892, 0.0018000000000000002, 1.0772000000000002, 0.038900000000000004, 0.94490000000000... | 0.06666666666666667 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(3) @ Z(1)) + 0.03333333333333333 * (Z(3) @ Z(0)) + 0.23333333333333334 * (Z(6) @ Z(1)) + 0.06666666666666667 * (Z(6) @ Z(0)) + 0.19999999999999998 * (Z(6) @ Z(3)) + 0.2333333333333333 * (Z(7) @ Z(1)) + 0.15 * (Z(7) @ Z(0)) + 0.11666666666666667 * (Z(7) @ Z(... | 6 | 9 | 1 | {"smallest_eigenvalues": [-2.383333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.283333333333333, "smallest_bitstrings": ["110100000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.4711718980580089) q[0];
rz(1.5988039926983424) q[0];
rx(0.8472907533235706) q[1];
rz(1.439519075762293) q[1];
rx(1.5020970807841056) q[2];
rz(1.6282478807811849) q[2];
rx(0.5783162157881349) q[3];
rz(1.1736799389286663) q[3];
rx(2.175011101569287) q[4];
rz(1.590974... | OPENQASM 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",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIZIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIZIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZZII",
"IIZIIIZII",
"IZIIIIZII",
"ZIIIIIZII",
"... | [
0.06666666666666667,
0.03333333333333333,
0.03333333333333333,
0.23333333333333334,
0.06666666666666667,
0.19999999999999998,
0.2333333333333333,
0.15,
0.11666666666666667,
0.06666666666666667,
0.15,
0.2333333333333333,
0.03333333333333333,
0.06666666666666667,
0.06666666666666667,
0.1... | 0.971701 | [
1.4711718980580089,
0.028007665903445708,
0.8472907533235707,
-0.13127725103260374,
1.5020970807841059,
0.05745155398628896,
0.578316215788135,
-0.3971163878662298,
2.175011101569287,
0.020178419158001892,
1.7680300366301345,
-0.027584715089112387,
2.2157022418828785,
-0.20755778792309465,... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -2.383333333333333,
"target_ratio": 0.97,
"target_value": -2.311833333333333
} | 92 |
5e1f1e75ba04327de43b1491321a7511 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 0, ... | {"states": [0, 1], "expectation_value": -11.410306341950356, "params": [[[0.0033, 0.0059], [0.0027, 0.0063], [0.0025, 0.0027], [0.0027, 0.0019], [-0.0027, 0.006900000000000001], [0.0023, 0.0095], [0.0025, 0.0025], [1.6029, 0.005200000000000001]]], "bitstrings": ["11111111", "11111110"], "total_optimization_steps": 160,... | -0.75 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + 3.25 * (Z(7) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(7)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -1.75 * (Z(5) @ Z(3)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-0.28663161818796734) q[0];
h q[1];
h q[2];
ry(-1.6210146603569464) q[2];
h q[3];
ry(-1.6210146603569464) q[3];
h q[4];
ry(-1.6210146603569464) q[4];
ry(-0.2510354001517809) q[5];
rz(-pi) q[5];
h q[6];
ry(0.6181421229289458) q[6];
cx q[1], q[6];
ry(-0.6... | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
rx(x0) q[0];
rz(x1... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIIIZ",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIIZZII",
"ZIIIZIII",
"IZIIIIZI",
"ZZIIIIII",
"IIZIIZII",
"IIZZIIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII"
] | [
-0.75,
-1.5,
-0.75,
3.25,
-0.25,
-0.5,
-0.25,
-1,
-0.5,
-0.75,
-1.5,
-1.75,
0.5,
-0.25,
-0.25,
0.75,
2.5,
-2.25,
-0.5,
-0.5
] | 0.974536 | [
1.6268721490235387,
-2.1726476528244962,
-1.6210146603569464,
-1.2411755802850961,
1.2362842458578915,
-1.0503144986838098,
-0.3427277786644807,
-0.7765492679923298,
-1.1729325369956523,
-1.0244981473774728,
0.6304394156832644,
-0.6913760511837018,
0.5549559263937737,
-0.15717069271603917
... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -16.25,
"target_ratio": 0.97,
"target_value": -15.7625
} | 15 |
a3321da1469fc4651f7b228a11447db0 | 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": 5, "source": 0, "target": 1}, {"weight": 16, "source": 1, "target": 7}, {"weight": 2, "source": 2, "target": 3}, {"weight": 15, "source... | {"states": [185, 177], "expectation_value": -37.700450093826674, "params": [-0.0019, 0.0028, 2.2982, 0.0035, -0.003, 0.0002, 2.3009, 0.0023, 2.3006, 0.008, 1.4874, 0.0032, 0.0029000000000000002, 0.001, 1.2944, 0.007500000000000001, 2.2918000000000003, 0.0043, 0.0089, 0.001, 0.0002, 0.0059, 0.0044, 0.008, 0.0092, 0.003]... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 2.0 * Z(1) + -7.5 * Z(0) + 2.5 * Z... | 3 | 9 | 1 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.5, "smallest_bitstrings": ["101001110"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.021748263608550023) q[0];
rz(-0.466453558315866) q[0];
rx(2.9437165784173582) q[1];
rz(-0.26025728227870015) q[1];
rx(0.18991245950331614) q[2];
rz(0.20490283277014587) q[2];
rx(-3.0883921065676687) q[3];
rz(-0.23542310808847944) q[3];
rx(3.04494277980165) 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": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZZII",
"IIIZZIIII",
"IIZZIIIII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIZIIII",
"ZIIIIIIZI",
"ZIIIIZIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
2,
-7.5,
2.5,
-6,
-2,
1.5,
-9.5,
4.5,
7
] | 0.972944 | [
-0.02174826360855002,
-0.5885827258686265,
2.9437165784173582,
-0.10221244161152676,
0.18991245950331614,
0.1366018885134308,
3.194793200611918,
-0.30227224749836146,
3.04494277980165,
-0.8742166100730082,
0.39686941133434583,
0.2401265738236874,
0.11554044241435951,
-0.31608968133434695,
... | {
"n_parameters": 23,
"n_qubits": 9,
"optimal_eigenvalue": -58.5,
"target_ratio": 0.97,
"target_value": -56.745
} | 16 |
2766216575d506af6dd43cf61e47f17c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target":... | {"states": [511, 255], "expectation_value": -20.50201377430724, "params": [[[1.5767, 0.007], [0.0025, 0.006200000000000001], [0.0023, 0.0054], [0.0024000000000000002, 0.0059], [-0.0026000000000000003, 0.0027], [0.0027, 0.0027], [-0.008700000000000001, 0.0004], [-0.003, 0.008], [3.16, 0.0081]]], "bitstrings": ["00000000... | -2.5 * (Z(1) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -3.0 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + -2.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(3)) + -2.5 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + -2.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.0 ... | 2 | 9 | 1 | {"smallest_eigenvalues": [-21.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(0.05426043236807844) q[3];
cx q[1], q[3];
ry(-0.05426043236807844) q[3];
cx q[1], q[3];
ry(0.029261669421503156) q[1];
h q[4];
ry(0.05426043236807844) q[4];
cx q[2], q[4];
ry(-0.05426043236807844) q[4];
cx q[2], q[4];
ry(1.612205768211... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIZIIZII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZIIIZII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZZIIIII",
"IIZIZIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"... | [
-2.5,
1,
-3,
0.5,
-2,
-2.5,
-2.5,
1,
-3,
0.5,
0.5,
0.5,
-2.5,
0.5,
-2,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.972367 | [
0.10852086473615688,
0.05852333884300631,
-0.24070979454728902,
1.6122057682112825,
0.42412224196161674,
1.1039617725668505,
0.08257027457108222,
0.11355170613822571,
0.26345213116979954,
1.4094817892418559,
0.20171202999971632,
-0.11304598539754435,
-0.08946847958307591,
1.305607034863617... | {
"n_parameters": 57,
"n_qubits": 9,
"optimal_eigenvalue": -21,
"target_ratio": 0.97,
"target_value": -20.37
} | 128 |
1d5830a984622eead42a5eae40078f2f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 6}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [79, 15], "expectation_value": -2.489313939330272, "params": [0.3926, 0.0658, 0.1282, -0.1433, 0.06720000000000001, -0.026000000000000002, 0.4032, -0.0022, 0.4056, 0.0012000000000000001, 0.402, 0.0004, 0.40180000000000005, -0.0051, 0.38920000000000005, 0.06720000000000001, 0.12240000000000001, -0.1375, 0.049... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(6) + -0.5 * Z(0) + -1.5 * Z(2) + -1.0 * Z(1) + -0.5 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 4 | 7 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["1110000", "0110001"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(0.3489169545147741) q[0];
rz(0.19904142919526457) q[0];
ry(-0.010000419084834976) q[1];
ry(0.7018807777533977) q[2];
ry(0.1334916632691144) q[3];
ry(0.14345604641563403) q[4];
ry(-0.25925629263809963) q[5];
ry(-0.16211681254208915) q[6];
cx q[6], q[0];
rz(-0.19904142... | OPENQASM 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": []} | [
"ZIIIIIZ",
"IIIIZIZ",
"IIIIZZI",
"IIIZZII",
"IIIZIZI",
"IZIIIZI",
"IIZIZII",
"ZIIIIII",
"IIIIIIZ",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-0.5,
-1.5,
-1,
-0.5,
0,
0
] | 0.983285 | [
0.3489169545147741,
-0.010000419084834976,
0.7018807777533977,
0.1334916632691144,
0.14345604641563403,
-0.25925629263809963,
-0.16211681254208915,
0.39808285839052915,
0.18678482838336213,
0.007416060566003385,
0.5559541478011963,
-0.11684483584027172,
0.269108552615918,
0.055465068797176... | {
"n_parameters": 77,
"n_qubits": 7,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 13 |
50b1c25b4f3602b10eee86e1dbea9d5c | 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": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [69, 114], "expectation_value": -0.059351178461766824, "params": [[0.0437], [-0.031900000000000005]], "bitstrings": ["0111010", "0001101"], "total_optimization_steps": 10, "probabilities": [0.008098276714896905, 0.008185100230955353], "optimization_time": 1.4445655345916748} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.0 * Z(4) + 0.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(6) + -1.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0001101"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.8499915884053235) q[0];
rz(-0.14349891772228895) q[0];
rx(1.203877261600702) q[1];
rz(0.2150393365018637) q[1];
rx(1.040609558335803) q[2];
rz(-0.08177450222485838) q[2];
rx(0.01954086942686225) q[3];
rz(0.23127635564330884) q[3];
rx(0.1434676212007759) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[3], q[2];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZIIZI",
"IIIZZII",
"IIZIZII",
"ZIIZIII",
"ZIIIZII",
"IZIZIII",
"IZZIIII",
"ZZIIIII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIIZII",
"ZIIIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
0,
-1,
-1,
-1
] | 0.97165 | [
0.8499915884053235,
-0.16699737334558484,
1.2038772616007019,
0.21966274366901276,
1.0406095583358033,
-0.045300346746162776,
0.01954086942686225,
0.36689790091452473,
0.1434676212007759,
0.1777136368610626,
0.8738761575694459,
0.17950440151432287,
-0.01685254030077451,
0.4415997003909127,... | {
"n_parameters": 59,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 14 |
2be9598749a54d45ae6c968f3644c50e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "... | {"states": [0, 1], "expectation_value": -1.6248014268778028, "params": [[[-0.0013000000000000002, 0.32120000000000004], [0.0013000000000000002, 0.4329], [0.0028, 0.4405], [0.6099, 0.0038]], [[-0.009000000000000001, 0.3408], [0.0046, 0.4681], [0.0043, 0.4566], [0.6086, 0.0038]], [[-0.0015, 0.0012000000000000001], [0.001... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) + 0.25 * Z(3) | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.0, "smallest_bitstrings": ["1110", "1100", "1000"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.4735206763607496) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.01182672083452973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.01182672083452973) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.4735206763607496) q[3];
cx q[1], q[3]... | OPENQASM 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": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
-0.25,
-0.5,
-0.5,
-0.25,
1,
-0.5,
-0.5,
-0.25,
0.5,
0.25
] | 0.731547 | [
0.4735206763607496,
-0.01182672083452973,
-0.00498214199769815,
-1.582999198203383,
-1.7345000367827936,
1.438980752288773
] | {
"n_parameters": 6,
"n_qubits": 4,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 193 |
49c7a353075b9efbb859265b467ce241 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 6}, {"capacity": 5, "source": 0, "target": 7}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [13, 205], "expectation_value": -11.310544026093464, "params": [[[-0.117, -0.3766, 0.009600000000000001, 0.009600000000000001], [-0.0057, 0.5869, -0.015600000000000001, 0.512], [0.0199, -1.8633000000000002, -0.02, 0.6003000000000001], [0.0019, -0.1427, 0.0027, 2.2377000000000002], [0.0026000000000000003, 2.3... | -0.25 * (Z(0) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + -1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(7)) + -0.25 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(2)) + -1.25 * (Z(8) @ Z(6)) + 1.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -1.75 * (Z(3) @ Z(7)) + -0.75 * (Z(3) @ Z(4)) + -0.25 * (Z(... | 11 | 9 | 3 | {"smallest_eigenvalues": [-11.75, -11.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.75, "smallest_bitstrings": ["100110010", "110110010"], "largest_eigenvalue": 16.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(0.1541915017240319) q[0];
cx q[6], q[0];
h q[7];
cx q[6], q[7];
rz(0.48993347450890307) q[7];
cx q[6], q[7];
cx q[0], q[7];
rz(0.3809036293424193) q[7];
cx q[0], q[7];
cx q[7], q[1];
rz(0.15419150... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIZIIIIIZ",
"IZZIIIIII",
"IZIIIIIIZ",
"IZIIIIIZI",
"IZIIIIZII",
"IIIIIIZZI",
"IZIIZIIII",
"IIIIZIZII",
"ZIZIIIIII",
"ZIIIIIIIZ",
"ZIIIIIZII",
"IZIIIZIII",
"IIIIZZIII",
"IIZZIIIII",
"IIIZIIIZI",
"IIIZIIZII",
"ZIIZIIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIIIIIZI",
"... | [
-0.25,
-2,
-1.25,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-1.25,
1.75,
-0.5,
-1.75,
-0.75,
-0.25,
-0.25,
-0.75,
-0.75,
1.75,
-0.25,
-1.75,
-0.25,
0,
-1.75,
-0.75,
1.5,
1.5
] | 0.573747 | [
0.1541915017240319,
0.48993347450890307,
0.3809036293424193,
0.39121769979930515,
-0.9672327796190312,
0.5380672003954887,
0.5727038347561656,
-0.27201752472147983,
-0.8740006384221521,
0.9168555925598314
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -11.75,
"target_ratio": 0.97,
"target_value": -11.397499999999999
} | 228 |
-7909338658467892744 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 2, 4, 6], [2, 4, 5], [1, 5], [0, 2, 3, 4, 6], [5, 6], [0, 5]]} | {"states": [121, 117], "expectation_value": -0.8900565372057438, "params": [[-0.5529000000000001], [0.3758]], "bitstrings": ["0000110", "0001010"], "total_optimization_steps": 60, "probabilities": [0.02918143771921229, 0.02956001276395354], "optimization_time": 2.895815849304199} | 0.05 * (Z(0) @ Z(1)) + 0.05 * (Z(2) @ Z(1)) + 0.1 * (Z(2) @ Z(0)) + 0.05 * (Z(4) @ Z(1)) + 0.1 * (Z(4) @ Z(0)) + 0.26666666666666666 * (Z(4) @ Z(2)) + 0.05 * (Z(6) @ Z(1)) + 0.1 * (Z(6) @ Z(0)) + 0.1 * (Z(6) @ Z(2)) + 0.1 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(2)) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0333333333333337], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9, "smallest_bitstrings": ["0001010"], "largest_eigenvalue": 4.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(0.583090386091574) q[0];
h q[1];
ry(-2.7875390858664266) q[2];
rz(-pi) q[2];
h q[3];
ry(0.03255136696642838) q[3];
h q[4];
h q[5];
ry(-0.28781017147962173) q[5];
h q[6];
cx q[6], q[5];
ry(0.28781017147962173) q[5];
cx q[6], q[5];
ry(-0.24626762217382658) q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
c... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIZIIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZZIIII",
"ZZIIIII",
"IIIZIIZ",
"IIIZZII",
"IIZZIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IZI... | [
0.05,
0.05,
0.1,
0.05,
0.1,
0.26666666666666666,
0.05,
0.1,
0.1,
0.1,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.05,
0.05,
0.05,
0.05,
0.09999999999999998,
0.20000000000000007,
0.3666666666666667,
0.3666666666666667,
0.20000000000000007,
0.166666666666... | 0.972288 | [
1.0554715926391487,
-0.5756203429592435,
1.4551179048431258,
-0.49253524434765317,
1.5182237904786042,
1.166180772183148,
-0.7653872923514169,
0.02249498163387774,
0.44357354264658844,
0.07314972707573379,
0.3225423328647634,
-0.41045922944855456,
0.06510273393285676,
-0.4760302451289711,
... | {
"n_parameters": 41,
"n_qubits": 7,
"optimal_eigenvalue": -2.0333333333333337,
"target_ratio": 0.97,
"target_value": -1.9723333333333335
} | 19 |
4547784514323915808 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 9, 12, 7], [9, 4], [0, 3, 5, 7, 8, 10, 11], [12, 5, 6], [4, 7], [1, 2, 6, 8, 9, 12], [3, 12], [2, 4, 5, 6, 8, 11], [0, 1, 3, 9, 10], [10, 12, 4], [8, 9, 11], [1, 3, 4, 5, 8, 10], [0, 1, 2, 3, 5, 7, 11], [2, 12, 6, 7], [9, 5, 7]]} | {"states": [7575, 3479], "expectation_value": -2.9644909020810526, "params": [[[1.4865000000000002, 0.0008], [2.8929, 0.0031000000000000003], [2.8995, 0.0088], [1.4768000000000001, 0.0066], [2.8930000000000002, 0.009300000000000001], [2.1312, 0.00030000000000000003], [0.863, 0.0083], [0.6673, 0.007500000000000001], [2.... | 0.13333333333333333 * (Z(0) @ Z(12)) + 0.11666666666666667 * (Z(4) @ Z(12)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.25 * (Z(10) @ Z(12)) + 0.13095238095238093 * (Z(10) @ Z(0)) + 0.16666666666666666 * (Z(10) @ Z(4)) + 0.5 * (Z(7) @ Z(12)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(10)) + 0.05 * (Z(6) @ Z(... | 1 | 13 | 1 | {"smallest_eigenvalues": [-3.952380952380951], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.933333333333333, "smallest_bitstrings": ["1001001101000"], "largest_eigenvalue": 13.499999999999995} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(0.9001516930038485) q[0];
rz(-0.7472868611148947) q[0];
rx(3.3578411671894104) q[1];
rz(0.4326481664472786) q[1];
rx(3.078562745854582) q[2];
rz(0.7161561513926048) q[2];
rx(0.3593963660339986) q[3];
rz(1.0790379534635526) q[3];
rx(3.2881770543127082) q[4];
rz(0.314... | OPENQASM 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": []} | [
"ZIIIIIIIIIIIZ",
"ZIIIIIIIZIIII",
"IIIIIIIIZIIIZ",
"ZIZIIIIIIIIII",
"IIZIIIIIIIIIZ",
"IIZIIIIIZIIII",
"ZIIIIZIIIIIII",
"IIIIIZIIZIIII",
"IIZIIZIIIIIII",
"ZIIIIIZIIIIII",
"IIIIIIZIIIIIZ",
"IIIIIIZIZIIII",
"IIZIIIZIIIIII",
"IIIIIZZIIIIII",
"ZIIIZIIIIIIII",
"IIIIZIIIIIIIZ",
"IIIIZIIIZII... | [
0.13333333333333333,
0.11666666666666667,
0.08333333333333333,
0.25,
0.13095238095238093,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.05,
0.09761904761904762,
0.5,
0.047619047619047616,
0.03333333333333333,
0.16666666666666666,
0.047619047619047616,
0.16666666666666666,
0... | 0.977385 | [
0.9001516930038485,
-0.7472868611148947,
3.3578411671894104,
0.4326481664472786,
3.078562745854582,
0.7161561513926048,
0.3593963660339986,
1.0790379534635526,
3.2881770543127082,
0.31458991345165727,
2.78476272450977,
-0.4132022290389002,
-0.16250794826577497,
0.2685258566204142,
-0.118... | {
"n_parameters": 26,
"n_qubits": 13,
"optimal_eigenvalue": -3.952380952380951,
"target_ratio": 0.97,
"target_value": -3.8338095238095224
} | 25 |
5ed2e84a4a14a0b7f5c3856807396e61 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 4, "s... | {"states": [5, 37], "expectation_value": -6.194362951981871, "params": null, "bitstrings": ["111111010", "111011010"], "total_optimization_steps": 28, "probabilities": [0.21487139127407406, 0.2154245891814615], "optimization_time": 32.53942656517029} | -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 | 1 | {"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": ["111111110", "111011110", "111011010", "111111010", "111001010", "111001000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.07631298667984679) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.07631298667984679) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(-0.02675005929009977) q[5];
cx q[1], q[5];
rz(1.547506371120754) q[1];
rx(-1.48451... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"ZIIIIIIIZ",
"IIIZIIIZI",
"IIIZIIZII",
"IZIIIIZII",
"ZIIIZIIII",
"IIIZZIIII",
"IZIIZIIII",
"IIIIZZIII",
"IIZIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"ZIIIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII"
] | [
-0.25,
-0.25,
0.75,
-1.25,
-1.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.75,
-0.5,
0.5,
-0.25,
0.75,
0.5,
-1.75,
0,
-1,
0.75,
0.5
] | 0.674338 | [
-0.07631298667984679,
1.3779727175632956,
-0.02675005929009977,
-0.016512191481523938,
-0.0017200849202761322,
1.547506371120754,
1.5630420677388002,
1.564109801380211,
1.5629778929593883,
-1.4845196553160172
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 253 |
30e28b56cad01a233ddf0894e9b7eaa8 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 5}, {"weight": 12, "source": 1, "target": 2}, {"weight": 16, "source": 1, "target": 4}, {"weight": 5... | {"states": [126, 118], "expectation_value": -7.314265652082023, "params": [[0.055900000000000005], [-0.0572]], "bitstrings": ["10000001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.006615372062547606, 0.0076914569426635195], "optimization_time": 2.002181053161621} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(7) @ Z(1)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) @ Z(5)) + 3.5 * (Z(7) @ Z(6)) + 10.5 * Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 133.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0007807485922482725) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.0007807485922482725) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.0007807485922482725) q[3];
cx q[0], q[3];
rz(1.5622291020438395) q[0];
rx(1.4230915336570904) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIZII",
"IIZIIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
10.5,
4,
13,
15,
6,
16,
11,
8.5
] | 0.972429 | [
0.0007807485922482725,
-1.3071662634992012,
1.5622291020438395,
-1.2862359945840747,
-1.0589387496736589,
0.9999795518288292,
-1.3272444682674918,
-1.4806765325928763,
1.2864952173532251,
1.4230915336570904,
0.5883822012299551,
1.5647805208249972,
0.48419941054809135,
1.7953393898312842,
... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 47 |
f20b14ccaf46fd91ed39b9c05edbe906 | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 30, "source": 0, "target": 3}, {"weight": 27, "source": 0, "target": 4}, {"weight": 32, "source": 0, "target": 2}, {"weight": 10, "source... | {"states": [2007, 1751], "expectation_value": -4.851959297098119, "params": [1.2851000000000001, 0.0238, 1.0878, 0.003, 1.3780000000000001, 0.055400000000000005, 1.3551, 0.0081, 1.1236000000000002, -0.19790000000000002, 1.0766, 0.0034000000000000002, 1.399, -0.1466, 1.3989, 0.0014, 1.2693, -0.0308, 1.2414, 0.0052000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.25 * (Z(8) @ Z(0)) + 0.25 * (Z(... | 5 | 11 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.5, "smallest_bitstrings": ["00100101000", "00110101000", "10000100010", "10000100011"], "largest_eigenvalue": 22.5} | 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] 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[... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIZIIIZ",
"IIIIIZIIIZI",
"IIIIIZZIIII",
"IIIIZIIIZII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIZIIIIIZI",
"IIIZIIIIIIZ",
"IIIZIIZIIII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIZIIIIIZII",
"IIZIIZIIIII",
"IIZZIIIIIII",
"IZIIIIIIIZI",
"IZIIIIIIZ... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
1.5,
1.25,
1.5,
1,
1,
1,
1.25,
1.5,
1.5,
0.25,
0.25
] | 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 |
3535227547621801589 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[3, 7], [8, 2, 10, 7], [0, 3], [1, 10], [9, 4], [3, 5], [10, 6]]} | {"states": [1918, 1854], "expectation_value": -1.2352475414566269, "params": [1.1838, -0.22510000000000002, 1.6043, -0.0011, 1.6032000000000002, 0.0031000000000000003, 0.7717, 0.5735, 1.0535, -0.5961000000000001, 1.5951000000000002, 0.0061, 1.6012000000000002, 0.001, 1.5962, 0.0016, 1.6089, -0.0035, 1.6061, -0.31470000... | 0.5 * (Z(3) @ Z(7)) + 0.08333333333333333 * (Z(8) @ Z(7)) + 0.08333333333333333 * (Z(2) @ Z(7)) + 0.08333333333333333 * (Z(2) @ Z(8)) + 0.08333333333333333 * (Z(10) @ Z(7)) + 0.08333333333333333 * (Z(10) @ Z(8)) + 0.08333333333333333 * (Z(10) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(10)) + 0.5 * (Z(9) @ Z(4)) + ... | 4 | 11 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -3.166666666666667, "smallest_bitstrings": ["00010000011", "01110010010", "01010010110", "11001111000", "01011010100", "01111010000", "00011000001", "11000111010"], "largest_ei... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.7595120341034272) q[0];
rz(1.4912673401551881) q[0];
rx(1.914726683791997) q[1];
rz(1.5959538534268969) q[1];
rx(-3.104094975855297) q[2];
rz(1.1160558044494762) q[2];
rx(0.050892068877972915) q[3];
rz(-2.894166831047789) q[3];
rx(-0.014546791007894862) 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": []} | [
"IIIZIIIZIII",
"IIZZIIIIIII",
"IIIZIIIIZII",
"IIZIIIIIZII",
"ZIIZIIIIIII",
"ZIZIIIIIIII",
"ZIIIIIIIZII",
"IIIIIIIZIIZ",
"ZIIIIIIIIZI",
"IZIIIIZIIII",
"IIIIIZIZIII",
"ZIIIZIIIIII",
"IIIZIIIIIII",
"IIIIIIIZIII",
"IIZIIIIIIII",
"IIIIIIIIZII",
"ZIIIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIII... | [
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.5,
0.5,
0.5,
0.1250000000000001,
0,
0.125,
0.125,
0.125,
0,
0,
0,
0,
0,
0
] | 0.978833 | [
1.7595120341034274,
-0.07952898663970814,
1.914726683791997,
0.02515752663200086,
3.1790903313242898,
-0.45474052234542006,
0.05089206887797292,
1.8182221493369006,
-0.014546791007894862,
-0.9412463267788825,
1.8895705460065062,
-0.06726567568438603,
1.980872211134749,
-0.02298660681379669... | {
"n_parameters": 32,
"n_qubits": 11,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 42 |
43f346f2449aaad74bd3d1617b2cab32 | 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": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [91, 89], "expectation_value": -1.4725971043988166, "params": [0.903, -0.0004, -0.0051, 0.0927, 0.9038, -0.0018000000000000002, 0.9033, 0.3138, 0.1933, 0.5042, 0.6909000000000001, -0.19940000000000002, 0.9092, -0.06770000000000001, 0.9079, 0.0047, 0.0016, 0.005200000000000001, 0.9058, 0.007200000000000001, 0... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(5)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2) @ Z(5)) ... | 18 | 7 | 2 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100110", "0101001"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.4099597405997399) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.4099597405997399) q[3];
cx q[0], q[3];
rz(0.5379425344598752) q[3];
rx(-1.0181627007712197) q[3];
h q[4];
cx q[2], q[4];
rz(0.4099597405997399) q[4];
cx q[2], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIZZIII",
"IIIZIIZ",
"IZIIIIZ",
"IZIZIII",
"IZIZIIZ",
"IZIIZII",
"ZIIIZII",
"ZZIIIII",
"ZZIIZII",
"ZIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
-0.75,
0,
-0.25,
-0.5,
0,
-0.25
] | 0.756698 | [
0.4099597405997399,
-0.5276923746122105,
0.5379425344598753,
-0.15590122747147514,
-1.0181627007712197,
0.9194045375777744,
-1.0915528273895585,
-0.4028415862936717,
-0.5859290117404532
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 223 |
5fc8ddd9b490928efab5d46a7fda09a4 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 7, "source": 0, "t... | {"states": [206, 110], "expectation_value": -20.072632303556077, "params": [[-0.0379, 0.0031000000000000003, 0.0092], [0.0781, 0.06380000000000001, 0.057600000000000005]], "bitstrings": ["00110001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.014126200759260278, 0.015580361189981648], "optimization... | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 3.5 * Z(0) + 6.0 * Z(2) + 18.0 * Z(1) + 8.0 * Z(3) + 5.5 * Z(5) + 18.0 * Z(4) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-59.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.0, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 120.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(-6.126449322559573e-06) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(-6.126449322559573e-06) q[1];
cx q[0], q[1];
rz(-1.5709207139058865) q[0];
rx(-1.5706906646278838) q[0];
cx q[2], q[1];
rz(-6.126449322559573e-06) q[1];
cx q[2], q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIZIZIII",
"IIIZIIZI",
"IIIZZIII",
"IIZZIIII",
"IZIIZIII",
"ZIIIIIZI",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
3.5,
6,
18,
8,
5.5,
18,
6,
5.5
] | 0.932203 | [
-0.000006126449322559573,
-1.570920713905886,
1.5709272473636124,
1.570710396024967,
1.5708714554051209,
-1.5707452903609194,
-1.570690664627884,
0.33096783508676,
0.06537739502227977,
-0.2576869562513256,
0.3995909898567742,
-0.2921438586432958,
0.06719963066271914,
-0.0002287731424465783... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -59,
"target_ratio": 0.97,
"target_value": -57.23
} | 500 |
6842c95d9f8f8e6ed9a30462c7d1331d | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 9}, {"capacity": 2, "source": 2, "target":... | {"states": [0, 1022], "expectation_value": -8.485935409851558, "params": [[[-0.0029000000000000002, 0.7017], [-0.1715, -0.0029000000000000002], [-0.0033, 0.0025], [-0.0022, -0.0014], [-0.0022, -0.0017000000000000001], [-0.0025, -0.0033], [-0.0021000000000000003, -0.0028], [-0.0023, -0.002], [-0.0026000000000000003, -0.... | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(10) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(6) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(6)) + -1.0 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(4)) + -0.5 * (Z(8) @ Z(5)) + -0.25 * (Z(9) @ Z(1)) + -0.25 * (Z(9) @ Z(4)) + -0.75 * (Z(9... | 15 | 11 | 2 | {"smallest_eigenvalues": [-9.25, -9.25, -9.25, -9.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.25, "smallest_bitstrings": ["10000000001", "10000000101", "11000000001", "11000000101"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.021646581864943778) q[0];
ry(-0.31292083597860404) q[1];
ry(0.004853907484398156) q[2];
ry(-0.018508767036449096) q[3];
ry(0.000440286683361657) q[4];
ry(-0.0224094661005485) q[5];
ry(0.04703126007801338) q[6];
ry(-0.08817431597502833) q[7];
ry(0.0004402866833616... | OPENQASM 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": []} | [
"IIIIIIIZIIZ",
"ZIIIIIIIIIZ",
"IIIIIIIZIZI",
"IIIIZIIZIII",
"IIIIIIZZIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIZZIIII",
"IIIZIIIIIZI",
"IIIZIIZIIII",
"IIZIIZIIIII",
"IZIIIIIIIZI",
"IZIIIIZIIII",
"IZIIIZIIIII",
"IIIIIIIIZIZ",
"IIIIIZIIZII",
"IIIIIIIZIII",
"IIIIIIIIIIZ",
"ZIIIIIIII... | [
-0.25,
-0.25,
-0.5,
-1.25,
-0.25,
-0.25,
-1,
-0.25,
-0.5,
-1,
-0.5,
-0.25,
-0.25,
-0.75,
0.75,
-0.75,
0.25,
-0.25,
-0.25,
-1.25,
0,
0,
1.25,
1,
-0.5,
-0.25,
0
] | 0.970588 | [
-0.021646581864943778,
-0.31292083597860404,
0.004853907484398156,
-0.018508767036449096,
0.000440286683361657,
-0.0224094661005485,
0.04703126007801338,
-0.08817431597502833,
-0.18276149547769027,
-0.04780865640678236,
0.10746302571400808,
0.19213891164057278,
0.149001744393204,
-0.054933... | {
"n_parameters": 46,
"n_qubits": 11,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 38 |
44edd9eabf2c794d8db092dc419f94d8 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target":... | {"states": [1024, 1023], "expectation_value": -11.983309540265404, "params": [[[0.0079, 0.003], [0.0012000000000000001, 0.0066], [0.0009000000000000001, 0.003], [0.0002, -0.0033], [0.0091, 0.0027], [0.0022, 0.0027], [0.00030000000000000003, -0.0033], [0.0037, 0.0029000000000000002], [0.0028, -0.0032], [-1.4181000000000... | -0.25 * (Z(0) @ Z(5)) + -0.5 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(0)) + -1.0 * (Z(1) @ Z(6)) + -0.5 * (Z(9) @ Z(5)) + -0.25 * (Z(9) @ Z(6)) + -0.75 * (Z(9) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(10) @ ... | 15 | 11 | 3 | {"smallest_eigenvalues": [-12.5, -12.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.5, "smallest_bitstrings": ["10000000000", "10010000000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.3354585465568268) q[0];
ry(-0.15675702388912047) q[1];
ry(0.39056639544038907) q[2];
ry(-0.09189403386744732) q[3];
ry(0.13797740183012142) q[4];
ry(0.10103873653388554) q[5];
ry(0.18110301240156254) q[6];
ry(-0.24963322599703205) q[7];
ry(-0.03413197323698119) 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": []} | [
"IIIIIZIIIIZ",
"IIIZIZIIIII",
"IIIZIIIIIIZ",
"IIIIZIIIIZI",
"IZIIIZIIIII",
"IZIIZIIIIII",
"IZIIIIIIIZI",
"IIIIIZZIIII",
"IIIZIIZIIII",
"IIIIIIZIIZI",
"IIIIIZIZIII",
"IIIZIIIZIII",
"IIIIIIZZIII",
"ZIIZIIIIIII",
"ZIIIZIIIIII",
"ZIIIIIZIIII",
"IIIIIIIIZIZ",
"IIIZIIIIZII",
"IZIIIIIIZ... | [
-0.25,
-0.5,
-0.25,
-1,
-0.5,
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
0.75,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-1,
-0.25,
-0.5,
-0.75,
-0.25,
0,
-0.25,
0,
-0.25,
-1,
1.25,
0.75,
-1.5,
0.75,
-0.5,
0.75
] | 0.970419 | [
-0.3354585465568268,
-0.15675702388912047,
0.39056639544038907,
-0.09189403386744732,
0.13797740183012142,
0.10103873653388554,
0.18110301240156254,
-0.24963322599703205,
-0.03413197323698119,
-1.8433609274956597,
-0.28306271495207547,
0.05763207076548121,
-0.14663549054532954,
-0.00639819... | {
"n_parameters": 54,
"n_qubits": 11,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 56 |
605742faa50c2e92c07356e058fd303f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [253, 245], "expectation_value": -1.4055147018013405, "params": [0.3926, 0.006, 2.2073, 0.005, 2.1950000000000003, 0.007, 2.2099, 0.0027, 2.2057, 0.0086, 1.5163, 0.009600000000000001, 2.204, 0.0021000000000000003, 0.3871, 0.0022, 2.2043, 0.0045000000000000005, 0.0097, 0.0068000000000000005, 0.000900000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(1) @ Z(5)) + -0.125 * (Z(4) @ Z(1) ... | 18 | 9 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.25, "smallest_bitstrings": ["100001010", "010100010", "100010001"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.2519734558329277) q[0];
rz(0.3651187390109438) q[0];
rx(0.549123536582348) q[1];
rz(0.1729633947430669) q[1];
rx(0.43121785023168274) q[2];
rz(-0.3977475527083846) q[2];
rx(0.7480155259603805) q[3];
rz(0.11334574533755185) q[3];
rx(0.9524074886463487) q[4];
rz(0.0... | 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",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIZIIIZI",
"IIZIIIIZI",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIZZIIZI",
"IIZIZIIZI",
"IIZZIIIZI",
"IIZZZIIII",
"IIZZZIIZI",
"IZIIZIIII",
"IIIIIZZII",
"IIIZIIZII",
"ZIIIIIZII",
"IIIZIZIII",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
-0.25,
0.125,
0.125,
-0.... | 0.973344 | [
-0.25197345583292763,
0.2954298013317361,
0.549123536582348,
0.1729633947430669,
0.43121785023168274,
-0.3977475527083846,
0.7480155259603805,
0.11334574533755185,
0.9524074886463487,
0.09007031560592105,
-0.034370920448749724,
0.1359556355151768,
0.6730941809643614,
0.021375644081781026,
... | {
"n_parameters": 106,
"n_qubits": 9,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 14 |
46d86ec72ad4dbdd13ea259386ca0d6b | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": ... | {"states": [0, 15], "expectation_value": -2.960031054191788, "params": [[-0.0521], [0.06280000000000001]], "bitstrings": ["1111111111", "1111110000"], "total_optimization_steps": 10, "probabilities": [0.0018111581891404112, 0.0018989000564670004], "optimization_time": 0.8903975486755371} | -3.5 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(0)) + -3.5 * (Z(3) @ Z(1)) + -3.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -3.0 * (Z(4) @ Z(1)) + -3.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 1.5 * (Z(4) @ Z(3)) + -3.0 * (Z(5) @ Z(1)) + -3.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 1.5 * (Z(5) @ Z(3)) + -2.... | 1 | 10 | 1 | {"smallest_eigenvalues": [-40.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -37.0, "smallest_bitstrings": ["1111110000"], "largest_eigenvalue": 34.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.5084550498581305) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.28251835284699756) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.538341002226428) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.5084550498581305) q[3];
cx q[1], q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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]... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIIZII",
"IIIIZIZIII",
"IIIIZZIIII",
"ZIIZIIIIII",
"ZIZIIIIIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"IZIZIIIIII"... | [
-3.5,
1,
-3,
-3.5,
-3.5,
-2.5,
-3,
-3.5,
0.5,
1.5,
-3,
-3.5,
0.5,
1.5,
-2.5,
-2,
-2,
0.5,
-2,
0.5,
0.5,
-2.5,
2.5,
1,
-3,
-2.5,
-2.5,
0.5,
0.5,
0.5,
0.5
] | 0.521019 | [
0.5084550498581305,
0.28251835284699756,
0.538341002226428,
0.6640565239743625,
0.29038117510565514,
0.23072900804423377,
0.8058271800780187,
0.3684829376325344,
1.0701588846659922
] | {
"n_parameters": 9,
"n_qubits": 10,
"optimal_eigenvalue": -40,
"target_ratio": 0.97,
"target_value": -38.8
} | 200 |
221461c1c54d63842e2fe9ed231c7c5e | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5},... | {"states": [0, 1999], "expectation_value": -9.741378791395302, "params": [0.3755, 0.1638, -0.7784000000000001, 0.0047, 0.7712, 0.0352, -0.8007000000000001, 0.0034000000000000002, -0.8144, 1.9127, -0.3316, 0.0027, -0.8695, 1.5019, 0.4686, 0.0057, -0.769, -1.5966, -0.12240000000000001, 0.0078000000000000005, 0.0024000000... | -1.5 * (Z(0) @ Z(4)) + -1.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(10) @ Z(8)) + -1.5 * (Z(10) @ Z(9)) + -1.0 * (Z(2) @ Z(3)) + 0.5 * Z(4) + 0.5 * Z(0) + 0.5 * Z(1) + -1.0 * Z(6) + -1.0 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) ... | 6 | 11 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["00000110000"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.6163507765301678) q[0];
rz(2.3359249390139283) q[0];
rx(-1.366626019813829) q[1];
rz(-2.5429936391351706) q[1];
rx(-1.403527145901788) q[2];
rz(0.5972593788322769) q[2];
rx(-1.9005796101844483) q[3];
rz(-2.8078042534769354) q[3];
rx(-2.3063165075667085) q[4];
rz(2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIIIZIIZI",
"IIIIIIIIIZZ",
"IIIIZZIIIII",
"IIZZIIIIIII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIZZII",
"IIIIIIZIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIZIIIIIII",
"IZIIIIIIIII",
"ZIIIIIIII... | [
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
-1,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.913828 | [
0.6163507765301678,
0.7651286122190323,
-1.3666260198138287,
2.169395341249519,
-1.4035271459017877,
-0.9735369479626206,
-1.9005796101844483,
1.9045847269077547,
-2.3063165075667085,
1.147392321400196,
-0.05039595500663292,
1.8400424384164633,
-0.04158504840485723,
0.2782987980234394,
-... | {
"n_parameters": 110,
"n_qubits": 11,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 500 |
fbd951d8e0967f93aa199e767c7a8404 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [3050, 3054], "expectation_value": -2.6915423129271354, "params": [0.5760000000000001, 0.5733, 1.4034, 1.4036, 0.36250000000000004, 0.36810000000000004, 1.4031, 1.3980000000000001, 1.3994, 1.3974, 1.3940000000000001, 1.3969, 1.4022000000000001, 1.399, 1.3935, 1.3903, 0.0477, 0.0516, 1.4027, 1.4067, 0.8112, 0... | 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)) + 0.03125 * (Z(0) @ Z(3)) + 0.03125 * (Z(0) @ Z(4)) + 0.03125 * (Z(0) @ Z(5)) + 0.03125 * (Z(0) @ Z(6)) + 0.03125 * (Z(0) @ Z(7)) + 0.03125 * (Z(3) @ Z(4)) + 0.03125 * (Z(3) @ Z(5)) + 0.03125 * (Z(3) @ Z(6)) + 0.03125 * (Z... | 13 | 13 | 1 | {"smallest_eigenvalues": [-3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.9... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.5300287133987427) q[0];
h q[1];
ry(-1.601201405582836) q[1];
rz(-pi) q[2];
ry(-0.004490021784035978) q[2];
rz(-pi) q[3];
ry(-0.004490021784035978) q[3];
h q[4];
ry(1.5300287133987427) q[4];
h q[5];
ry(-0.6154311923570868) q[5];
h q[6];
cx q[6], q[5];
ry(0.6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZIZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZZZ",
"IIIIIIIIIZIIZ",
"IIIIIIIIZIIIZ",
"IIIIIIIZIIIIZ",
"IIIIIIZIIIIIZ",
"IIIIIZIIIIIIZ",
"IIIIIIIIZZIII",
"IIIIIIIZIZIII",
"IIIIIIZIIZIII",
"IIIIIZIIIZIII",
"IIIIIIIZZIIII",
"IIIIIIZIZIIII",
"IIIIIZIIZIIII",
"IIIIIIZZIII... | [
0.25,
0.25,
0.25,
-0.25,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
... | 0.993424 | [
-1.601201405582836,
-1.5801356018621757,
1.5300287133987427,
-1.2308623847141735,
0.7050686646935291,
-0.4688789932560197,
0.2589798163109108,
-0.32311162882807265,
0.24598881445691434,
-0.11293343308546688,
0.24318327711601848,
0.027923472377967398,
0.00969850656648575,
-0.036440781251569... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 1 |
766ad5c893fdabef4db5a6d615ba911f | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 20, "source": 0, "target": 2}, {"weight": 13, "source": 0, "target": 4}, {... | {"states": [234, 122], "expectation_value": -20.6032470511625, "params": [[-0.0364, 0.07], [0.06670000000000001, -0.0516]], "bitstrings": ["00010101", "10000101"], "total_optimization_steps": 10, "probabilities": [0.009599321394441845, 0.010783362260873848], "optimization_time": 4.867849111557007} | 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(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 182.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.016153868570687777) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.016153868570687777) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.016153868570687777) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.016153868570687777) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIZIIIZI",
"IIZZIIII",
"IZIIIIZI",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
26,
12,
18.5,
10.5,
17.5,
9,
22,
3
] | 0.973841 | [
0.016153868570687777,
1.6531426914122864,
4.3596912682155935,
1.5899733302440615,
1.7283760072836996,
1.378270030858796,
-2.417983287278949,
1.460564283804654,
-1.7408143236471427,
-1.5136081997036865
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -78.5,
"target_ratio": 0.97,
"target_value": -76.145
} | 57 |
f4058862d2cc91e963663e2c69858d5f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [1622, 1654], "expectation_value": -2.963502715138249, "params": [[[0.49050000000000005, 0.0077], [1.0643, 0.021500000000000002], [-0.0044, 0.0111], [0.0004, -0.007200000000000001], [0.7861, 0.7531], [0.6324000000000001, 0.6577000000000001], [0.5042, 0.674], [0.2059, 0.6697000000000001], [-0.1147000000000000... | 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(6) @ Z(4)... | 15 | 11 | 3 | {"smallest_eigenvalues": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -2.4375, "smallest_bitstrings": ["00110010010", "00110001100", "00110... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.08155479116440284) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.08155479116440284) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.08155479116440284) q[3];
cx q[2], q[3];
rz(0.6726318576019645) q[2];
rx(1.4395567190828875) q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIIZZZIII",
"IIIIIIIZIIZ",
"IIIIZIIIIIZ",
"IIIIZIIZIII",
"IIIIZIIZIIZ",
"IIIIZIZIIII",
"IIIZIIZIIII",
"IIZIIIZIIII",
"IIIZZIIIIII",
"IIZIZIIIIII",
"IIZZIIIIIII",
"IIIZZIZII... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625... | 0.857675 | [
-0.08155479116440284,
0.6726318576019644,
1.3685732063111773,
-1.9248268523404324,
1.3279290926971614,
1.4395567190828875,
-0.8198366260050157,
1.279399435917915,
1.24312089196522,
3.1061045586653235,
1.9879305316842095,
0.3855996081973117
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 350 |
dc72488dd6090670edbeccc77e6da35f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}, {"capacity": 6, "so... | {"states": [0, 1], "expectation_value": -3.533862261248462, "params": [[[0.0035, 0.4207], [0.0026000000000000003, 0.5942000000000001], [0.0022, 0.5941000000000001], [0.0022, 0.5908], [0.8006000000000001, 0.0037]], [[0.0036000000000000003, 0.002], [0.0026000000000000003, 0.0082], [0.0022, 0.008400000000000001], [0.0022,... | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(4) + 0.25 * Z(2) + 0.75 * Z(3) | 1 | 5 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.022458364995426305) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.7680783155629591) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(-1.601733329848004) q[3];
cx q[1], q[3];
rz(-0.5097096949881657) q[1];
rx(-1.660495736858362) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"ZIIIZ",
"IIZZI",
"IZIZI",
"IZZII",
"IIIZI",
"IIIIZ",
"ZIIII",
"IIZII",
"IZIII"
] | [
-0.25,
0.5,
-0.5,
-1.5,
-0.75,
-1.25,
-0.25,
0.5,
0.25,
0.75
] | 0.981681 | [
-0.022458364995426305,
1.7047053329317832,
-1.7680783155629591,
-1.601733329848004,
-2.8853817213992103,
-0.5097096949881654,
1.464742343611176,
1.1540289150876992,
-1.6604957368583617,
0.003138072776439696,
1.489664131891325,
-1.1346427705466027,
-1.409100124374533,
-1.1761233738238577,
... | {
"n_parameters": 18,
"n_qubits": 5,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 245 |
13395b3e8f5e4d47dab66af622a16025 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 6}, {"source": 4, "target": 6}, {"source": 5, "target": 6}]} | {"states": [56, 63], "expectation_value": -8.539368577746206, "params": null, "bitstrings": ["000111", "000000"], "total_optimization_steps": 63, "probabilities": [0.1105349609862457, 0.5144794861894876], "optimization_time": 43.936413526535034} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(5)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -1.5 * Z(5) + 1.0 * Z(3) + 1.0 * Z(4) | 5 | 6 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["000000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.883129018214467) q[0];
h q[1];
h q[2];
ry(0.7986258573069778) q[2];
cx q[1], q[2];
ry(-0.7986258573069778) q[2];
cx q[1], q[2];
cx q[2], q[0];
ry(-0.883129018214467) q[0];
cx q[2], q[0];
ry(-0.5798041950620261) q[1];
cx q[0], q[1];
ry(0.5798041950620261) q[... | null | {"node": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5708) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"ZIZIII",
"ZZIIII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
-1.5,
-1.5,
-1.5,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
-1.5,
1,
1
] | 0.959547 | [
1.766258036428934,
2.332300610211534,
-2.587020488435885,
1.5972517146139555,
-1.1596083901240521,
0.6855933309183274,
1.9438246399583414,
-0.12785913588270906,
0.19004137607467664,
0.007976453507783041,
2.5295109747006177,
1.5678024309300438,
2.3846878509826817,
-1.108856355073381,
-1.4... | {
"n_parameters": 29,
"n_qubits": 6,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 500 |
1a255f6744625db820c74a987d4dbcf8 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target":... | {"states": [63, 511], "expectation_value": -1.3905023642220513, "params": [[-0.057600000000000005], [0.058600000000000006]], "bitstrings": ["111000000", "000000000"], "total_optimization_steps": 10, "probabilities": [0.002880305981870339, 0.00290963381699694], "optimization_time": 4.08241605758667} | -2.0 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + -2.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + -2.5 * (Z(8) @ Z(4)) + -3.0 * (Z(8) @ Z(3)) + -2.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "smallest_bitstrings": ["000000000"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(0.36945060893539006) q[4];
h q[5];
ry(0.7030223987611391) q[5];
h q[6];
ry(0.7030223987611391) q[6];
h q[7];
h q[8];
ry(0.7030223987611391) q[8];
cx q[3], q[8];
ry(-0.7030223987611391) q[8];
cx q[3], q[8];
cx q[8], q[4];
ry(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(x0) q[0];
... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"IZIIZIIII",
"IZIIIZIII",
"IZIZIIIII",
"ZIIIZIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIZIZIIII",
"IIZIIZIII",
"IIZZIIIII",
"ZIZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"... | [
-2,
-1.5,
0.5,
-2.5,
1,
-2.5,
0.5,
-2.5,
0.5,
-2.5,
-3,
-2.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970247 | [
1.4060447975222783,
0.7389012178707801,
-1.0746662758429923,
0.1336439481642926,
2.043277672238302,
0.14236900494370153,
0.7307084289340497,
-0.10518570438264119,
-0.5673250120745994,
-0.027788560803463667,
1.2685618874824198,
2.0096859657299238,
-1.8280475084219203,
0.8050251719321194,
... | {
"n_parameters": 72,
"n_qubits": 9,
"optimal_eigenvalue": -20.5,
"target_ratio": 0.97,
"target_value": -19.884999999999998
} | 388 |
ae5b1dd3d61720bed3e2235ffd1a2339 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 3, "source": 2, "target": 3}, {"capacity": 1, "source": 3, "target": 1... | {"states": [8126, 7102], "expectation_value": -15.561836181923182, "params": [[[0.0034000000000000002, 0.0027], [-0.5169, 0.0165], [0.0001, 0.0821], [0.8756, 0.0016], [0.0032, -0.0014], [0.0024000000000000002, -0.0021000000000000003], [0.0026000000000000003, -0.0019], [1.5666, -0.0027], [0.0019, 0.0029000000000000002],... | 0.5 * (Z(6) @ Z(11)) + 2.0 * (Z(12) @ Z(11)) + 1.0 * (Z(12) @ Z(6)) + 1.0 * (Z(13) @ Z(11)) + 0.5 * (Z(13) @ Z(6)) + 2.0 * (Z(13) @ Z(12)) + -0.5 * (Z(1) @ Z(11)) + -0.5 * (Z(1) @ Z(6)) + -1.0 * (Z(1) @ Z(12)) + -0.5 * (Z(1) @ Z(13)) + -1.0 * (Z(2) @ Z(11)) + -1.0 * (Z(2) @ Z(6)) + -2.0 * (Z(2) @ Z(12)) + -1.0 * (Z(2) ... | 15 | 14 | 3 | {"smallest_eigenvalues": [-15.99999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.999999999999892, "smallest_bitstrings": ["10010001000001"], "largest_eigenvalue": 56.9999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
ry(-0.04708641779532993) q[0];
ry(-0.7075445834896295) q[1];
ry(0.00826662123820793) q[2];
ry(1.173449856099554) q[3];
ry(0.04956639151729407) q[4];
ry(0.03201128789539655) q[5];
ry(0.02198106024172253) q[6];
ry(1.4431219873686931) q[7];
ry(0.010727460584892727) 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": 6} | {"circuits": [], "gradients": []} | [
"IIZIIIIZIIIIII",
"IZZIIIIIIIIIII",
"IZIIIIIZIIIIII",
"ZIZIIIIIIIIIII",
"ZIIIIIIZIIIIII",
"ZZIIIIIIIIIIII",
"IIZIIIIIIIIIZI",
"IIIIIIIZIIIIZI",
"IZIIIIIIIIIIZI",
"ZIIIIIIIIIIIZI",
"IIZIIIIIIIIZII",
"IIIIIIIZIIIZII",
"IZIIIIIIIIIZII",
"ZIIIIIIIIIIZII",
"IIIIIIIIIIIZZI",
"IIZIIIIIIIZIII"... | [
0.5,
2,
1,
1,
0.5,
2,
-0.5,
-0.5,
-1,
-0.5,
-1,
-1,
-2,
-1,
1,
-0.5,
-0.5,
-1,
-0.5,
0.5,
1,
-0.5,
-0.5,
-1,
2,
-1,
-0.5,
0.5,
1,
-0.5,
0.5,
-1,
-0.5,
-0.5,
-1,
-0.5,
-1,
1,
-2,
-1,
-1,
-2,
-1,
2,
-1,
1,
-2,
-1,
-1,
-2... | 0.970966 | [
-0.04708641779532993,
-0.7075445834896295,
0.00826662123820793,
1.173449856099554,
0.04956639151729407,
0.03201128789539655,
0.02198106024172253,
1.4431219873686931,
0.010727460584892727,
0.15966277992295203,
-0.023452087345174726,
-0.01774924445262942,
-0.027392909727499488,
-0.1548481491... | {
"n_parameters": 60,
"n_qubits": 14,
"optimal_eigenvalue": -15.99999999999996,
"target_ratio": 0.97,
"target_value": -15.51999999999996
} | 57 |
b21df6864e484025c84c79a1c5fc0ba8 | 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": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, {"source": 3, "ta... | {"states": [43, 171], "expectation_value": -2.5832328718312625, "params": [1.6022, 0.009300000000000001, 0.4721, 0.004, 1.6098000000000001, 0.0089, 0.5176000000000001, 0.009300000000000001, 1.6092000000000002, 0.0043, 0.0026000000000000003, 0.0035, 1.6097000000000001, 0.006500000000000001, 1.6124, 0.004, 0.0004, 0.0098... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + -1.0 * Z(3) + 0.0 * Z(0) + -1.0 * Z(1) + -2.0 * Z(5) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(7) | 3 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["01010100", "00010110", "11000100"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(3.0434979788708834) q[0];
rz(0.1973675039342222) q[0];
rx(0.035144073029230095) q[1];
rz(0.08873119536600482) q[1];
rx(3.0805411945588683) q[2];
rz(-0.30311269199137447) q[2];
rx(0.12780799983674665) q[3];
rz(-0.2124341926813642) q[3];
rx(2.936251858077596) 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",
"IIIIZIZI",
"IIZIZIII",
"IIZIIIZI",
"IZIIIIZI",
"IIZIIZII",
"IIZZIIII",
"ZIZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIZIIIII",
"IZIIIIII",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-1,
-2,
0,
0,
0,
0
] | 0.972665 | [
3.0434979788708834,
0.029374943400910986,
0.03514407302923009,
0.37174238026250217,
3.0805411945588683,
-0.3973642938727534,
0.12780799983674662,
2.936251858077596,
-0.6681551566545249,
-0.2789403044799571,
0.11660918014744223,
3.2658265026207784,
0.5262583160368292,
2.865095207833423,
0... | {
"n_parameters": 21,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 16 |
1dcb3c744ddd55658248ce3c7196418c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}]} | {"states": [7, 6], "expectation_value": -1.99657617846379, "params": [[[0.003, 1.5431000000000001], [1.475, -0.003], [1.5821, 0.003]]], "bitstrings": ["000", "001"], "total_optimization_steps": 160, "probabilities": [0.49788294533439703, 0.49974696439684874], "optimization_time": 2.960726261138916} | -1.0 * (Z(0) @ Z(1)) + 0.5 * Z(1) + 0.5 * Z(0) + -0.5 * Z(2) | 15 | 3 | 1 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["001"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(1.0652804248318555) q[0];
rz(-0.4790339043757319) q[0];
rx(0.9745577300577288) q[1];
rz(0.29346053770470665) q[1];
rx(0.0157130110860835) q[2];
rz(0.618448567596635) q[2];
rx(1.0308831125161482) q[3];
rz(0.23627299479722735) q[3];
rx(1.1756644845217723) q[4];
rz(0.3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[3] c;
qubit[3] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
cx q[2], q[0];
cx q[1], q[2];
cx q[0], q[1];
ry(x3) q[0];
ry(x4) q[1];
ry(x0) q[2];
cx q[2], q[1];
cx q[0], q[2];
cx q[0]... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IZZ",
"IZI",
"IIZ",
"ZII"
] | [
-1,
0.5,
0.5,
-0.5
] | 0.970132 | [
1.0652804248318557,
-0.3214709232980808,
0.9745577300577288,
0.29346053770470665,
0.0157130110860835,
0.618448567596635,
1.0308831125161482,
0.23627299479722735,
1.1756644845217723,
0.3067858491711559,
1.00009586838585,
-0.016079870551915385,
1.0041750502695932,
-0.3884080547291887,
0.19... | {
"n_parameters": 137,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999897,
"target_ratio": 0.97,
"target_value": -19.3999999999999
} | 19 |
928b5ed8abe18a2a0fcf5e410c4db4f8 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 9}, {"source": 1, "target":... | {"states": [90, 94], "expectation_value": -5.576235715216855, "params": [[[0.003, 0.0061], [0.16920000000000002, 0.004200000000000001], [-0.0105, 0.0013000000000000002], [1.6072000000000002, 0.0064], [0.0018000000000000002, 0.0089], [1.6091, 0.0082], [1.6102, 0.0034000000000000002], [1.6041, 0.0035], [1.6063, 0.0083], ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(8) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["1110100001"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.08977400902810002) q[0];
rz(0.4002880104247705) q[0];
rx(-0.07925068883718642) q[1];
rz(-0.6019300132669729) q[1];
rx(-0.0832426543705146) q[2];
rz(-0.3185383939768795) q[2];
rx(3.962607838950464) q[3];
rz(-0.10275207297798439) q[3];
rx(0.13077626674982137) 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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIIZ",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"ZIIIIIIIIZ",
"ZIIIIIZIII",
"IIIIIZIIZI",
"IIIIIZZIII",
"ZIIIIZIIII",
"IIZIIIIIZI",
"IIZIIZIIII",
"IIIIZIIZII",
"IIIIIZIZII",
"IIIZIIIZII",
"ZZIIIIIIII",
"IZIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIZIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1,
-1,
-1.5,
-2,
-0.5,
-1.5,
0,
-0.5
] | 0.97304 | [
0.08977400902810002,
0.4002880104247705,
-0.07925068883718642,
-0.6019300132669729,
-0.0832426543705146,
-0.3185383939768795,
3.962607838950464,
-0.10275207297798439,
0.13077626674982137,
-0.3779431190031324,
2.9655649746883723,
0.7626070036317603,
3.113941500820188,
-1.2262313767528066,
... | {
"n_parameters": 19,
"n_qubits": 10,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 25 |
b8ec675dd91ebbd5410a74dcc6fca3e0 | 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": 4, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 4}, {"capac... | {"states": [0, 1], "expectation_value": -20.863045336622815, "params": [-0.0053, 0.055, 0.0034000000000000002, 0.1403, 0.005200000000000001, 0.1169, 0.0038, 0.14800000000000002, -0.0011, 0.1374, 0.0063, 0.1678, 0.0053, 0.1149, -0.0028, 0.1713, 0.004, 0.1575, 0.0081, 0.11570000000000001, -0.0017000000000000001, 0.1686, ... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(8) @ Z(0)) + -1.0 * (Z(8) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(... | 6 | 10 | 4 | {"smallest_eigenvalues": [-26.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 23.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.14916739820445582) q[0];
rz(-0.3912915985680794) q[0];
rx(0.1029503393944192) q[1];
rz(-0.26317471384044877) q[1];
rx(0.026865085770989703) q[2];
rz(0.27389728934415425) q[2];
rx(0.1029503393944192) q[3];
rz(0.15026689661186277) q[3];
rx(0.10295033939441921) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIIZII",
"IZIIIIIIIZ",
"IZIIIIIZII",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIZZIII",
"IZIIIIZIII",
"IIIZIIIIZI",
"IIIZIIIZII",
"IIIZIIZIII",
"IIZIIIIIZI",
"IIZIZIIIII",
"IZZIIIIIII"... | [
-1,
-1,
-0.25,
-1,
-1,
-1,
-1,
-0.5,
-0.75,
-1,
-1,
-0.5,
-0.25,
-0.75,
-2,
-1,
-0.25,
-1,
-0.75,
-0.5,
-1,
-0.75,
4.25,
-0.5,
1.75,
-0.25,
0.25,
-0.25,
-2.25,
0.5,
-2.75,
-1.25,
1.25,
3
] | 0.976029 | [
-0.1491673982044558,
-0.34816677335191004,
0.1029503393944192,
-0.23727642968270657,
0.0268650857709897,
0.2902393978826723,
0.08763555842106088,
-0.05853565875678633,
0.012603592151487368,
-0.19938294809299215,
0.19741101635126057,
-0.14075336813514608,
0.08771163607100986,
-0.17697626804... | {
"n_parameters": 25,
"n_qubits": 10,
"optimal_eigenvalue": -26.5,
"target_ratio": 0.97,
"target_value": -25.705
} | 8 |
7bc4dde9a09d0b94c5097b219891d81a | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 2}, {"id": 0}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 0, "target": 3}]} | {"states": [1949, 3485], "expectation_value": -6.93067462346183, "params": null, "bitstrings": ["100001100010", "001001100010"], "total_optimization_steps": 100, "probabilities": [0.060871614420582795, 0.8703448869995719], "optimization_time": 307.92302322387695} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(3)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * ... | 1 | 12 | 3 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -6.0, "smallest_bitstrings": ["010010100001", "010001010100", "010010001100", "001100001010", "010100010001", "001001100010", "001010001100", "100001100010", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rz(-0.8856201491506983) q[0];
ry(0.20607187143120437) q[0];
rz(1.691443220073766) q[0];
rz(1.9404906187072166) q[1];
ry(0.12101153113441158) q[1];
rz(-1.8772538795087437) q[1];
rz(-2.137783534785648) q[2];
ry(0.08595900488246716) q[2];
rz(1.6840356586029337) q[2];
rz(0.... | null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.5706) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];... | [
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIZZIIIIII",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIZIIIIIZIII",
"IIZIIZIIIIII",
"IIZIIIIIIIIZ",
"IZIIIIIZIIII",
"IZIIZIIIIIII",
"IZIIIIIII... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
0.75,
0.75,
0.75,
1.25,
1.25,
1.25
] | 0.987235 | [
0.11953274834359354,
0.2854334628168601,
-0.11213716823678,
0.2175735915324961,
0.058537607426864216,
-0.2041489905535785,
1.195421164250731,
-0.0853700569336958,
0.21361350790414543,
0.08320735516977537,
-0.038044942888873196,
-0.02371278444846299,
-0.1628380576660834,
0.9476996835334291,... | {
"n_parameters": 22,
"n_qubits": 4,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 5 |
9dde49caf7002d989ed9964e142d5091 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1108, 1114], "expectation_value": -70.3510383188262, "params": [[[-1.1574, 1.4991], [1.4973, 1.5017], [-1.3636000000000001, 1.4907000000000001], [0.1658, 1.4868000000000001], [-1.4849, 1.4904000000000002], [1.5017, 1.5027000000000001], [1.5078, 1.4853], [1.0841, 1.4912], [1.0827, -0.0014], [1.5023, 1.492400... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(3) @ Z(1)) + 8.0 * (Z(2) @ Z(5)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(7) @ Z(1)) + 8.0 * (Z(7) @ Z(3)) + 8.0 * (Z(6) @ Z(7)) + 8.0 * (Z(8) @ Z(6)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(10) @ Z(0)) + 8.0 * (Z(10) @ Z(8)) + 8.0 * (Z(10) @ Z(9)) + 17.5 * Z(1) + 3.0 * Z(0) + 4.5 * Z(3) + 6.5 * Z(5) + ... | 15 | 12 | 1 | {"smallest_eigenvalues": [-148.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -125.0, "smallest_bitstrings": ["101110100101"], "largest_eigenvalue": 188.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-1.5250211390733188) q[0];
ry(1.6470676137564584) q[1];
ry(-1.42289619171027) q[2];
ry(1.5076549384843576) q[3];
ry(-1.606094355885896) q[4];
ry(1.5797213114860786) q[5];
ry(1.592418736921734) q[6];
ry(1.5892021791942694) q[7];
ry(1.5217533526849227) q[8];
ry(1.5880... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZIZI",
"IIIIIIZIIZII",
"IIIIIIZZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZZIIIIII",
"IIIZIZIIIIII",
"IIZZIIIIIIII",
"IZIIIIIIIIIZ",
"IZIZIIIIIIII",
"IZZIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIZIII",
"IIIIIIZIIIII",
"IIIIIIIIIZII",
"IIIIIIIZI... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
17.5,
3,
4.5,
6.5,
-5,
-7.5,
13.5,
1.5,
18,
1.5,
13.5,
-13
] | 0.980298 | [
-1.5250211390733188,
1.6470676137564584,
-1.42289619171027,
1.5076549384843576,
-1.606094355885896,
1.5797213114860786,
1.592418736921734,
1.5892021791942694,
1.5217533526849227,
1.588077575210104,
-1.509428807787693,
1.5568943654429834,
1.6382851248330599,
1.5792114889112996,
1.60186083... | {
"n_parameters": 23,
"n_qubits": 12,
"optimal_eigenvalue": -148,
"target_ratio": 0.97,
"target_value": -143.56
} | 44 |
12ada348b9c11023d80d21b40d9fce6b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "so... | {"states": [0, 1], "expectation_value": -3.286570927196365, "params": [[[-0.0033, 0.006200000000000001], [0.0027, 0.003], [1.1655, 0.0027], [0.0025, 0.0081], [1.6074000000000002, 0.0039000000000000003]]], "bitstrings": ["11111", "11110"], "total_optimization_steps": 160, "probabilities": [0.3358178357938834, 0.36132726... | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.5 * Z(4) + 1.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["11110", "11010"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.421275234044104) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.08975213145237756) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.2466738875561171) q[3];
cx q[0], q[3];
rz(-0.7548770243522678) q[3];
rx(-1.1727560892462083) q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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[2];
rz(x2) q[2];
rx... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZIZI",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"IIZZI",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
-0.5,
-1,
-0.25,
-0.5,
1,
-1,
-0.5,
-0.25,
-0.75,
0.5,
1
] | 0.970009 | [
-0.421275234044104,
-0.08975213145237756,
-0.2466738875561171,
0.2764818189504322,
-0.754877024352268,
-0.039697426295050006,
-1.1727560892462083,
-0.6047490633200694,
-0.04582608500570343,
-0.35589128305044065,
0.4950866191469228,
-0.3850968734273578,
1.0521907678224391,
-1.08956021545216... | {
"n_parameters": 28,
"n_qubits": 5,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 132 |
49af616fa54ac08406425ee8e91de42a | 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": 1, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [24, 25], "expectation_value": -2.4579091483171625, "params": [0.0027, 0.0066, 0.0029000000000000002, 0.8804000000000001, 1.608, 0.0036000000000000003, 1.6103, -0.0033, 1.1998, 0.0008, 0.0026000000000000003, 0.8861, 1.6053000000000002, 0.0082, 0.0034000000000000002, 0.0029000000000000002, 1.5793000000000001,... | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(0) @ Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(3) @ Z(6) @ Z(5)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(2) @ Z(6) @ Z(4)) ... | 4 | 7 | 1 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["1100110"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.08029608119602898) q[0];
rz(1.9599391423441812) q[0];
rx(-0.09008824403795351) q[1];
rz(3.021225664393871) q[1];
rx(1.7267111596386078) q[2];
rz(1.7891551271959676) q[2];
rx(2.9516830845910573) q[3];
rz(1.6436510052645676) q[3];
rx(0.287327196291999) q[4];
rz(1.429... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIIIZZ",
"IIIIZZI",
"IIIIZZZ",
"IIZZIII",
"IZIZIII",
"ZIIZIII",
"ZZIIIII",
"ZZIZIII",
"IIZIZII",
"ZIIIZII",
"ZIZIIII",
"ZIZIZII",
"IIIIIIZ",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.75,
0,
-0.75,
-0.25,
-0.25,
-0.75,
0
] | 0.972354 | [
0.08029608119602899,
0.38914281554928465,
-0.09008824403795351,
1.4504293375989736,
1.726711159638608,
0.2183588004010709,
2.9516830845910573,
0.07285467846967092,
0.287327196291999,
-0.1409558804122503,
0.12394484446731074,
1.6890718340135713,
2.924499194937884,
-0.11792607402056585,
1.... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 26 |
6e936c9031f4ef335042a74fa41c3e34 | 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": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 3, "target": 2}, {"capacity": 2, "source": 3, "target": 6... | {"states": [47, 63], "expectation_value": -2.8540203722133364, "params": null, "bitstrings": ["1010000", "1000000"], "total_optimization_steps": 37, "probabilities": [0.2088511956890643, 0.2100965666861345], "optimization_time": 27.155003786087036} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(2) @ Z(3)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + 0.0 * Z(4) + -0.25 * Z(0) + 0.25 * Z(5) + 0.5 * Z(3) + -0.5 * Z(2) + 0.25 * Z(6) + -0.25 * Z(1) | 1 | 7 | 3 | {"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], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.0, "smallest_bitstrings": ["1000000", "1100000", "1010100", "1100010", "1100100", "1010000", "1100110", "1000100", "1110000", "1110010", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.006599739930172845) q[0];
cx q[4], q[0];
cx q[4], q[3];
rz(0.006599739930172845) q[3];
cx q[4], q[3];
cx q[3], q[2];
rz(0.006599739930172845) q[2];
cx q[3], q[2];
rz(0.006599739930173154) q[2];
rx(1.52576029632... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.5486) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IIZIIIZ",
"IZIIIIZ",
"IIZZIII",
"IIIZZII",
"ZIIIIIZ",
"ZZIIIII",
"ZIIZIII",
"IZIIIZI",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIIIZII",
"ZIIIIII",
"IIIIIZI"
] | [
-0.5,
-0.5,
-0.5,
-0.5,
1.25,
-0.5,
-0.5,
-0.25,
0,
-0.25,
0.25,
0.5,
-0.5,
0.25,
-0.25
] | 0.896155 | [
0.006599739930172845,
-0.059218668570738146,
0.782628674871177,
-1.5687868123923565,
-1.565222460442388,
-1.5704982977894495,
1.5257602963225112
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 198 |
d9325feb8a7df3daf05f172adf67b14e | 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": 3, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -25.545293652846773, "params": [-0.2398, 0.0032, -0.2288, 0.007500000000000001, 0.0039000000000000003, 0.112, 0.0009000000000000001, 0.1237, 0.2973, -0.0005, 0.30160000000000003, -0.00030000000000000003, -0.0041, 0.1686, 0.0026000000000000003, 0.2412, -0.0039000000000000003, 0.... | -0.75 * (Z(0) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -1.25 * (Z(5) @ Z(4)) + -0.5 * (Z(8) @ Z(1)) + -1.25 * (Z(8) @ Z(0)) + -1.0 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(4)) + -0.5 * (Z(9) @ Z(1)) + -1.25 * (Z(9) @ Z(4)) + -0.5 * (Z(9) ... | 6 | 11 | 3 | {"smallest_eigenvalues": [-29.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.25, "smallest_bitstrings": ["11011111111"], "largest_eigenvalue": 20.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.8207204547941541) q[0];
rz(-0.1668289657348972) q[0];
ry(-0.29390315200806005) q[1];
rz(-0.09931659962986636) q[1];
cx q[1], q[0];
ry(-0.6594606892819919) q[0];
rz(0.1439653309209592) q[0];
ry(-0.01942818610313534) q[1];
rz(-0.14461873641236728) q[1];
ry(1.452803... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIZIIIZI",
"IIIIIZIIIIZ",
"IIIIIZZIIII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIZIIIIZIII",
"IIZIIIZIIII",
"IZIIIIIIIZI",
"IZIIIIZIIII",
"IZZIIIIIIII",
"ZIIIIIIIIZI",
"ZIIIIIZIIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZ... | [
-0.75,
-0.75,
-1,
-0.25,
-0.25,
-1,
-1.25,
-0.5,
-1.25,
-1,
-0.75,
-0.5,
-1.25,
-0.5,
-1.5,
-1,
-0.5,
-0.5,
4.5,
-0.75,
-1.25,
-0.75,
-1.25,
-1.25,
-1.25,
-0.5,
-2,
-0.25,
0,
-0.25,
-1.25,
-0.5,
-0.25,
0,
0,
-1.5,
2.5,
1.5,
-0.25
] | 0.970033 | [
-0.8207204547941541,
-0.1668289657348972,
-0.29390315200806005,
-0.09931659962986636,
1.4528033660674342,
-0.061197021273881866,
-0.742294815154469,
-0.20391764901224646,
-0.05008975623798777,
0.5139524669055945,
0.015233330961471097,
0.27897605864648345,
0.05008654727747126,
0.43075314165... | {
"n_parameters": 144,
"n_qubits": 11,
"optimal_eigenvalue": -29.25,
"target_ratio": 0.97,
"target_value": -28.3725
} | 114 |
b956dad7e59a91fa0a9f24d65e68b450 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target":... | {"states": [145, 177], "expectation_value": -10.018606822590234, "params": [[0.0016, 0.0025, 1.5887, 0.0018000000000000002, 0.22940000000000002, 1.3219, -0.0021000000000000003, -0.0024000000000000002, -0.0004, 1.5862], [-0.0021000000000000003, 0.0025, 1.5803, 0.0047, 1.6028, 1.6016000000000001, -0.0021000000000000003, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(9) ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1101001110"], "largest_eigenvalue": 29.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.17119382687502233) q[0];
ry(0.028597549650383698) q[1];
ry(1.6968945621602283) q[2];
ry(-0.015150496860541048) q[3];
ry(0.20300935499665493) q[4];
ry(1.1130433309663708) q[5];
ry(0.03308337799847436) q[6];
ry(0.10715366427669781) q[7];
ry(-0.06874184507395312) q[8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZIIIZII",
"IIZIIIIIIZ",
"IIZIIIIZII",
"IIZIIZIIII",
"IZIIIIIIZI",
"IZIIIIIIIZ",
"IZIIIZIIII",
"IZIZIIIIII",
"ZIIIIIIIIZ",
"ZIIZIIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIIZIZI",
"IIIIIIZZII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-3,
-1.5,
-1.5,
-2.5,
-1.5,
-2,
-1.5,
-1.5,
-0.5
] | 0.974094 | [
0.17119382687502233,
0.028597549650383698,
1.6968945621602283,
-0.015150496860541048,
0.20300935499665493,
1.1130433309663708,
0.03308337799847436,
0.10715366427669781,
-0.06874184507395312,
1.2941837211648952,
1.4813597242159564,
0.041186186052118885,
2.3210853061622743,
1.605202994015242... | {
"n_parameters": 17,
"n_qubits": 10,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 7 |
fbed7eb759f2b5af245b5b20e03cfb23 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}], "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": [0, 1], "expectation_value": -38.44845693879818, "params": [[[0.004200000000000001, -0.3159], [0.0004, 0.343], [0.0, -0.39530000000000004], [0.004, 0.1859], [-0.0025, 0.3846], [0.6009, 0.0009000000000000001]], [[-0.0012000000000000001, -0.3386], [-0.0032, 0.3381], [-0.0025, -0.3528], [-0.0085, -0.185], [0.00... | 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)) + 2... | 1 | 6 | 3 | {"smallest_eigenvalues": [-40.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -38.0, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 120.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(0.09362127717423929) q[0];
rz(0.15898723948650006) q[0];
rx(0.01271788291818901) q[1];
rz(-0.3274973128640216) q[1];
rx(-0.2979108091192296) q[2];
rz(-0.003237763520752778) q[2];
rx(-0.02397760534694167) q[3];
rz(0.10163948195161117) q[3];
rx(0.1688669766569415) 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": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
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,
2.75,
-13,
-13,
-13.25,
-13,
-13.25,
-12.5
] | 0.970137 | [
0.09362127717423929,
0.15898723948650006,
0.01271788291818901,
-0.3274973128640216,
-0.2979108091192296,
-0.003237763520752778,
-0.02397760534694167,
0.10163948195161117,
0.1688669766569415,
0.1069285924342987,
2.117206731621425,
0.2152560063760715
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -40,
"target_ratio": 0.97,
"target_value": -38.8
} | 5 |
6a107f1f88e08b825f227f4971e37a44 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"source": 3, "target": 8}, {"sour... | {"states": [0, 255], "expectation_value": -14.118351768312603, "params": [[[0.0026000000000000003, 1.6103], [0.0024000000000000002, 0.0026000000000000003], [0.0027, 0.0017000000000000001], [0.0024000000000000002, 0.0028], [-0.0033, 0.0032], [0.0023, 0.0023], [0.002, 0.0019], [0.0026000000000000003, 0.0022]]], "bitstrin... | -1.5 * (Z(1) @ Z(0)) + -2.5 * (Z(2) @ Z(3)) + 1.0 * (Z(6) @ Z(3)) + -2.5 * (Z(6) @ Z(2)) + -2.0 * (Z(7) @ Z(3)) + -2.0 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + -3.0 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * (Z(4) @ Z(5)) + 1.0 ... | 15 | 8 | 1 | {"smallest_eigenvalues": [-17.0, -17.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -16.0, "smallest_bitstrings": ["00000000", "11000000"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.05358376692518758) q[0];
ry(-0.008884121636427936) q[1];
ry(-0.05179177297996005) q[2];
ry(-0.008884121636427936) q[3];
ry(-0.24182160266656955) q[4];
ry(-0.13382317382298106) q[5];
ry(-0.15532821917924322) q[6];
ry(0.05358376692518758) q[7];
cx q[7], q[0];
cx 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
ry(x0) q[0];
ry(x1... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IZIIZIII",
"IZIIIZII",
"ZIIIZIII",
"ZIIIIZII",
"ZZIIIIII",
"IIZIZIII",
"IIZIIZII",
"IZZIIIII",
"ZIZIIIII",
"IIIZZIII",
"IZIZIIII",
"IIZZIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIZIII",
"IIIIIZII",
"IZIIIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIZIIII"
] | [
-1.5,
-2.5,
1,
-2.5,
-2,
-2,
0.5,
-3,
1,
-2.5,
0.5,
0.5,
0.5,
-2,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.982005 | [
0.05358376692518758,
-0.008884121636427936,
-0.05179177297996005,
-0.24182160266656955,
-0.13382317382298106,
-0.15532821917924322,
3.1347999890639726,
-0.011442711542804296,
0.09294311742936467,
0.17907607370886394,
0.021499987536305568,
-0.06952331501101294
] | {
"n_parameters": 12,
"n_qubits": 8,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 16 |
ff4d8612be902cee01cbb69055101657 | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [44, 56], "expectation_value": -3.496304682848828, "params": null, "bitstrings": ["010011", "000111"], "total_optimization_steps": 22, "probabilities": [0.06706466845673519, 0.9295035070619324], "optimization_time": 14.130828619003296} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["010110", "000111", "010011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.004484549636475071) q[0];
cx q[4], q[0];
rz(0.7328109886623113) q[0];
rx(-0.8007113399707768) q[0];
cx q[4], q[1];
rz(-0.004484549636475071) q[1];
cx q[4], q[1];
cx q[1], q[3];
rz(-0.004484549636475071) q[3];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IZIIIZ",
"IZIIZI",
"IIZIZI",
"ZZIIII",
"ZIIIZI",
"ZIZIII",
"IZIZII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-0.5,
-1,
0
] | 0.988988 | [
-0.004484549636475071,
-1.0690450112060856,
0.7328109886623114,
-1.0758900725224467,
0.8535075540902197,
-0.8007113399707768,
0.07221895186456898,
-0.520197576338447,
-0.671789822082748,
0.6519376481542358,
-0.8638708047021346,
0.2718423097134407,
-0.8220673049085121,
-0.492579786025785,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 32 |
8a8a4905c9b0f8fd7847dc408134a288 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}], "edges": [{"capacity": 5, "source": 0, "target": 1}]} | {"states": [4, 0], "expectation_value": -3.299863048841494, "params": [0.0012000000000000001, 0.0786, -0.0009000000000000001, 0.0896, -0.0054, 0.0648, -0.006500000000000001, 0.092, 0.0013000000000000002, 0.07440000000000001, 0.0037, 0.09280000000000001, -0.002, 0.0918, -0.005200000000000001, 0.08410000000000001, -0.004... | -0.2 * (Z(0) @ Z(1)) + -0.4 * (Z(2) @ Z(1)) + -0.2 * (Z(2) @ Z(0)) + -1.0 * Z(1) + -0.5 * Z(0) + -1.0 * Z(2) | 18 | 3 | 4 | {"smallest_eigenvalues": [-3.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["111"], "largest_eigenvalue": 1.7000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.06424924399158577) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.04813350541764115) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(1.5498376269972) q[1];
rx(1.7036418680237873) q[1];
rz(-0.06424924399158577) q[2];
cx q[0], q[2];
rz(1.2431... | OPENQASM 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": 1} | {"circuits": [], "gradients": []} | [
"IZZ",
"ZZI",
"ZIZ",
"IZI",
"IIZ",
"ZII"
] | [
-0.2,
-0.4,
-0.2,
-1,
-0.5,
-1
] | 0.971481 | [
-0.06424924399158577,
0.04813350541764115,
1.5498376269971996,
1.2431540253041897,
1.7036418680237873
] | {
"n_parameters": 5,
"n_qubits": 3,
"optimal_eigenvalue": -3.3,
"target_ratio": 0.97,
"target_value": -3.2009999999999996
} | 20 |
837aef83bf03fd18b079a281d9de166f | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 5}, {"weight": 13, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 2}, {... | {"states": [179, 122], "expectation_value": -30.92546273301872, "params": [[0.019, 0.0125, -0.0036000000000000003, -0.0008], [-0.0454, -0.0623, -0.0606, -0.0568]], "bitstrings": ["01001100", "10000101"], "total_optimization_steps": 10, "probabilities": [0.015672306863685002, 0.018148339762364036], "optimization_time": ... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-73.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 163.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.07765590714142556) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.07765590714142556) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.07765590714142556) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.07765590714142556) q[3];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
10.5,
11.5,
18.5,
14,
19,
0.5,
16.5,
13
] | 0.971603 | [
-0.07765590714142556,
-1.5377008644579224,
1.1115691831187453,
-1.4419585168856286,
-1.6020903063782164,
-1.6805051446086472,
1.3619184107862854,
-1.445708208250168,
1.1918981913168127,
1.5614268144057815,
0.5289298608491824,
2.9757745457669236,
0.6756497393842693,
3.567192846486,
2.0962... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -73.5,
"target_ratio": 0.97,
"target_value": -71.295
} | 58 |
96c17e5b9e437bd6027ef84924d304b0 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 4, "source": 1, "target": 4... | {"states": [29663, 29695], "expectation_value": -3.4518526225376176, "params": [0.4073, -0.0024000000000000002, 0.40090000000000003, -0.0004, 0.4035, 0.007, 0.0016, 0.2267, 0.0018000000000000002, 0.31420000000000003, 0.4007, 0.0024000000000000002, 0.4045, -0.002, 0.3995, -0.0023, 0.4056, -0.0032, 0.3966, 0.0054, 0.4043... | 0.5 * (Z(5) @ Z(7)) + 2.0 * (Z(8) @ Z(7)) + 1.0 * (Z(8) @ Z(5)) + 1.0 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(5)) + 2.0 * (Z(9) @ Z(8)) + 0.5 * (Z(6) @ Z(7)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(10) @ Z(7)) + 1.0 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(12) @ Z(10)) + 1.0 * (... | 18 | 15 | 4 | {"smallest_eigenvalues": [-44.99999999999928], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.285714285713716, "smallest_bitstrings": ["000110000000000"], "largest_eigenvalue": 89.99999999999997} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
rx(1.5717496938795197) q[0];
rz(-0.0483845985868081) q[0];
rx(1.8295296743872704) q[1];
rz(0.1679667824397284) q[1];
rx(0.6223472136087964) q[2];
rz(-0.0483845985868081) q[2];
rx(-0.3135709789884892) q[3];
rz(-0.6947855963955014) q[3];
rx(0.16202849359472205) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZIIIII",
"IIIIIIZZIIIIIII",
"IIIIIIZIIZIIIII",
"IIIIIZIZIIIIIII",
"IIIIIZIIIZIIIII",
"IIIIIZZIIIIIIII",
"IIIIIIIZZIIIIII",
"IIIIIIIIZZIIIII",
"IIIIIIZIZIIIIII",
"IIIIIZIIZIIIIII",
"IIIIZIIZIIIIIII",
"IIIIZIZIIIIIIII",
"IIIIZZIIIIIIIII",
"IIZIZIIIIIIIIII",
"IIIZIIIZIIIIIII",
"... | [
0.5,
2,
1,
1,
0.5,
2,
0.5,
1,
1,
0.5,
0.5,
1,
0.5,
0.5,
1,
2,
1,
2,
1,
-0.5,
-1,
-0.5,
-0.5,
0.5,
-1,
-1,
-2,
-1,
-1,
1,
-2,
2,
0.5,
0.5,
1,
1,
1,
2,
0.8571428571428572,
0.5,
0.5,
1,
0.4285714285714286,
0.8571428571428572,
-0.14... | 0.979946 | [
1.5717496938795197,
-0.06818622567798124,
1.8295296743872704,
0.16202849359472205,
0.6223472136087962,
-0.3135709789884892,
-0.7985755123005158,
-0.09214060059646983,
1.5075671867118081,
0.13092230668604898,
1.0470381845236523,
0.357781273763045,
0.3312910660703533,
1.7741300470157695,
0... | {
"n_parameters": 51,
"n_qubits": 15,
"optimal_eigenvalue": -44.99999999999951,
"target_ratio": 0.97,
"target_value": -43.64999999999952
} | 104 |
725c9b512790b6f65e71b3c284e6ef0c | connected_components | 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": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "target": 5}]} | {"states": [28, 31], "expectation_value": -4.766891076813584, "params": null, "bitstrings": ["00011", "00000"], "total_optimization_steps": 42, "probabilities": [0.16463692917388772, 0.6295383091975105], "optimization_time": 20.50594162940979} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 1.0 * Z(4) + -1.0 * Z(3) | 5 | 5 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["00000", "00011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-1.2092259966300754) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-1.2092259966300754) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.36626893194598403) q[1];
cx q[0], q[1];
rz(-0.3662689319459842) q[0];
rx(-0.8807098386931145) q[0];
rz(-0... | null | {"node": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(1.5706) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqu... | [
"IIZIZ",
"IIZZI",
"IIIZZ",
"ZZIII",
"IIZII",
"IIIIZ",
"IIIZI",
"ZIIII",
"IZIII"
] | [
-1.5,
-1.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
1,
-1
] | 0.60193 | [
-1.2092259966300754,
-0.36626893194598403,
0.7796489636954859,
0.4751616547745804,
-0.8807098386931146
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 154 |
43f346f2449aaad74bd3d1617b2cab32 | 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": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [91, 89], "expectation_value": -1.4349832410959982, "params": [0.6068, 0.0068000000000000005, 0.0009000000000000001, 0.4516, 0.6027, -0.0, 0.6069, 0.156, 0.1476, 0.2994, 0.4893, -0.0984, 0.6052000000000001, -0.029400000000000003, 0.6059, 0.0034000000000000002, 0.0034000000000000002, 0.4509, 0.6038, 0.0022, 0... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(5)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2) @ Z(5)) ... | 18 | 7 | 3 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100110", "0101001"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.4099597405997399) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.4099597405997399) q[3];
cx q[0], q[3];
rz(0.5379425344598752) q[3];
rx(-1.0181627007712197) q[3];
h q[4];
cx q[2], q[4];
rz(0.4099597405997399) q[4];
cx q[2], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIZZIII",
"IIIZIIZ",
"IZIIIIZ",
"IZIZIII",
"IZIZIIZ",
"IZIIZII",
"ZIIIZII",
"ZZIIIII",
"ZZIIZII",
"ZIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
-0.75,
0,
-0.25,
-0.5,
0,
-0.25
] | 0.756698 | [
0.4099597405997399,
-0.5276923746122105,
0.5379425344598753,
-0.15590122747147514,
-1.0181627007712197,
0.9194045375777744,
-1.0915528273895585,
-0.4028415862936717,
-0.5859290117404532
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 223 |
109dd65f843c7effe1b685156edca6d7 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "ta... | {"states": [13, 7], "expectation_value": -6.155393116785561, "params": [[0.0661], [-0.0713]], "bitstrings": ["11110010", "11111000"], "total_optimization_steps": 10, "probabilities": [0.006551741942120353, 0.0067930120352815496], "optimization_time": 4.353237628936768} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.020614379663043705) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.020614379663043705) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.020614379663043705) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.020614379663043705) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1],... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIZIIIZI",
"IIZIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
2.75,
2.75,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
-7,
-7.5,
-7.25,
-7,
-7,
-6.5,
-6.5,
-6.25
] | 0.971073 | [
0.020614379663043705,
-0.06563921442885634,
-0.6869657315794282,
-1.4972446815351845,
-1.3570263320892326,
0.5300986815983618,
0.06960159444877413,
-0.23523052806335437,
-0.03648713290377981,
-0.028121845837364642,
-0.9009106158759526,
-0.10227264967403488,
-0.5108808338805213,
0.830325209... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 70 |
f037241cdd7dd8402f016eff944b50c3 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [992, 995], "expectation_value": -2.0932215128797154, "params": [[-0.0795], [0.0721]], "bitstrings": ["0000011111", "0000011100"], "total_optimization_steps": 10, "probabilities": [0.0018947278263109543, 0.0019782099498381056], "optimization_time": 1.2435345649719238} | -2.0 * (Z(0) @ Z(3)) + -2.5 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + 1.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(5) @ Z(7)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * (Z(8) @ Z(9)) + 0.... | 1 | 10 | 1 | {"smallest_eigenvalues": [-23.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["0000011100"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.7449861913617337) q[0];
h q[1];
ry(0.5013619690208435) q[1];
h q[2];
ry(0.4985073387200384) q[2];
h q[3];
h q[4];
ry(0.7449861913617337) q[4];
cx q[3], q[4];
ry(-0.7449861913617337) q[4];
cx q[3], q[4];
cx q[4], q[1];
ry(-0.5013619690208435) q[1];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIIIIZIZI",
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIIZZII",
"IIIIIIIZIZ",
"IIIIIZIZII",
"IIIIIIIZZI",
"IIZIZIIIII",
"IIZZIIIIII",
"IIIZZIIIII",
"ZZIIIIIIII",
"IIIIIIZIII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIZIIIIIII"... | [
-2,
-2.5,
-2.5,
-2.5,
1,
-2.5,
1,
0.5,
-2.5,
-2,
-2,
-2,
0.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
1,
0.5,
0.5
] | 0.939341 | [
1.4899723827234674,
1.002723938041687,
-0.5082054076790977,
0.9970146774400768,
-0.737749496566571,
1.2600741281548324,
0.0661144003481684,
1.6537146164132932,
-0.1192734051542857,
0.04902494948979217,
-0.10662978252969488,
0.057414071382408664,
-0.4897309204916645,
-0.026176496180003637,
... | {
"n_parameters": 69,
"n_qubits": 10,
"optimal_eigenvalue": -23.5,
"target_ratio": 0.97,
"target_value": -22.794999999999998
} | 500 |
c5211bad50b928e7b2cd71a45947d261 | 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": 8, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 20, "source": 1, "target": 6}, {"weight": 6, "source": 2, "targ... | {"states": [476, 220], "expectation_value": -34.78626443649388, "params": [[-0.031100000000000003, -0.0007, 0.0033], [0.0729, 0.07200000000000001, 0.0589]], "bitstrings": ["000100011", "100100011"], "total_optimization_steps": 10, "probabilities": [0.00870923235443586, 0.011648180723209077], "optimization_time": 6.4058... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(6)) + 4.5 * (Z(4) @ Z(6)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-96.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 189.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.05158763210986543) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.05158763210986543) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.05158763210986543) q[2];
cx q[0], q[2];
rz(-0.025670045257859098) q[0];
rx(0.2174955030065558) 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", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIZIIZIII",
"IIZIZIIII",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIZZIIIII",
"IIIZIZIII",
"IIIZZIIII",
"IZIIZIIII",
"ZIIIIIIZI",
"ZIIIIIZII",
"ZIZIIIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIZIIIIII",
"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,
15.5,
4,
19,
19,
7.5,
17.5,
27,
-2,
10
] | 0.971395 | [
-0.05158763210986543,
-0.05276727579868179,
-0.02567004525785946,
1.3880542914463816,
-0.20108841360191268,
1.3172319871880824,
0.8443518997675575,
0.2656465650956471,
-0.8000269395917592,
0.21749550300655576,
-0.05167716937010963,
0.5699853713624246,
-0.5721176716655902,
0.564232575406183... | {
"n_parameters": 40,
"n_qubits": 9,
"optimal_eigenvalue": -96.5,
"target_ratio": 0.97,
"target_value": -93.605
} | 76 |
dc72488dd6090670edbeccc77e6da35f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}, {"capacity": 6, "so... | {"states": [15, 1], "expectation_value": -0.22985553608265344, "params": [[0.0771], [-0.0838]], "bitstrings": ["10000", "11110"], "total_optimization_steps": 10, "probabilities": [0.0364711240854967, 0.03771017563435744], "optimization_time": 1.4002351760864258} | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(4) + 0.25 * Z(2) + 0.75 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.022458364995426305) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.7680783155629591) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(-1.601733329848004) q[3];
cx q[1], q[3];
rz(-0.5097096949881657) q[1];
rx(-1.660495736858362) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"ZIIIZ",
"IIZZI",
"IZIZI",
"IZZII",
"IIIZI",
"IIIIZ",
"ZIIII",
"IIZII",
"IZIII"
] | [
-0.25,
0.5,
-0.5,
-1.5,
-0.75,
-1.25,
-0.25,
0.5,
0.25,
0.75
] | 0.981681 | [
-0.022458364995426305,
1.7047053329317832,
-1.7680783155629591,
-1.601733329848004,
-2.8853817213992103,
-0.5097096949881654,
1.464742343611176,
1.1540289150876992,
-1.6604957368583617,
0.003138072776439696,
1.489664131891325,
-1.1346427705466027,
-1.409100124374533,
-1.1761233738238577,
... | {
"n_parameters": 18,
"n_qubits": 5,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 245 |
-3251107044025627850 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 7], [0, 3], [4, 5], [0, 5], [1, 6], [1, 3], [4, 7], [2, 6], [0, 4], [0, 1], [5, 7], [3, 5], [5, 6], [1, 2], [0, 2], [2, 5]]} | {"states": [120, 58], "expectation_value": -3.657859098877926, "params": null, "bitstrings": ["10000111", "11000101"], "total_optimization_steps": 61, "probabilities": [0.032664970756769184, 0.8235245263827672], "optimization_time": 83.6683464050293} | 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["00111010", "01101100", "11000101", "10010011"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[2];
rz(-0.47223589058132376) q[2];
cx q[7], q[2];
cx q[2], q[0];
rz(-0.47223589058132376) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.47223589058132376) q[3];
cx q[0], q[3];
cx q[7], q[4];
rz(-0.47... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"ZIIIIZII",
"IIIIIZIZ",
"IIIIZIIZ",
"ZIIZIIII",
"IIIZIIIZ",
"ZIZIIIII",
"IIZIIZII",
"IIZIIIIZ",
"IIZIZIII",
"IIZZIIII",
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZIZI",
"IZIIIZII",
"IZZIIIII",
"IZIIIIZI",
"ZIIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IIIIIIZ... | [
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
] | 0.457912 | [
-0.47223589058132376,
-5.7024876806142005e-9,
0.6321151401353914
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 101 |
99b9f292e0807babec03416b96e514f4 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "target": 7}, {"sour... | {"states": [56, 248], "expectation_value": -8.879965719336468, "params": null, "bitstrings": ["11000111", "00000111"], "total_optimization_steps": 78, "probabilities": [0.1656478183656639, 0.5095529961072974], "optimization_time": 101.55859661102295} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + -1.5 * Z(6) + 1.5 * Z(5) + -1.5 * Z(7) | 1 | 8 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["00000111"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.01492407457817137) q[0];
cx q[1], q[0];
rz(1.0250945737963377) q[0];
rx(-1.5585060387484628) q[0];
rz(1.0250945737963377) q[1];
rx(-1.5585060387484628) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.16396593696266856) q[2];
cx q[3], q[2];... | null | {"node": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5708) q[7], 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] = mea... | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZZIII",
"IIIZIZII",
"IZZIIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-1,
-1.5,
0.5,
-1.5,
-2,
1,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
1.5,
-1.5
] | 0.59889 | [
-0.01492407457817137,
0.16396593696266856,
1.0250945737963377,
-1.5613167920627937,
-1.5596815879923847,
0.00005155476371507499,
-1.5585060387484628
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 197 |
-2074563811701182950 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 4, 6, 7], [2, 3, 4, 5], [1, 3], [2, 3, 4, 6], [0, 4]]} | {"states": [106, 110], "expectation_value": -1.6599633304478356, "params": null, "bitstrings": ["10010101", "10010001"], "total_optimization_steps": 61, "probabilities": [0.08458699331476456, 0.6616484600864706], "optimization_time": 81.16423177719116} | 0.25 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.75, -1.75, -1.75, -1.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["01001000", "11100000", "10010001", "11000110"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.43291979953506043) q[0];
h q[1];
h q[2];
ry(1.5541677442701485) q[2];
h q[3];
ry(-0.4881230695207709) q[3];
cx q[1], q[3];
ry(0.4881230695207709) q[3];
cx q[1], q[3];
ry(-0.40706319726346946) q[3];
ry(0.9081929005977128) q[1];
h q[4];
cx q[4], q[0];
ry(0.4... | 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];\nry(1.3016) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIZIZII",
"IZIZIIII",
"IZIIIZII",
"ZIIZIIII",
"ZIIIIZII",
"ZZIIIIII",
"IIIZZIII",
"IIIIZZII",
"IZIIZIII",
"IIZZIIII",
"IIZIIZII",
"IIZIZIII",
"IIIIZIZI",
"IIIZIIIZ",
"IIIZIIII",
"IIIIIZII",
"IZIIIIII",
"ZIIIIIII",
"IIIIZIII",
"IIZIIIII",
"IIIIIIZI",
"IIIIIIIZ"
] | [
0.25,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.375,
0.375,
0.24999999999999994,
... | 0.972451 | [
1.5541677442701485,
-0.8658395990701209,
1.0070566592190862,
-0.7629758766928278,
-0.9762461390415418,
0.41345757144044915,
0.6474180333388309,
-0.8141263945269389,
0.5215497345177639,
-0.19429785969104774,
-0.040523609602955875,
0.32732553270866943,
-0.008244177822828366,
0.00518672098286... | {
"n_parameters": 52,
"n_qubits": 8,
"optimal_eigenvalue": -1.75,
"target_ratio": 0.97,
"target_value": -1.6975
} | 24 |
48bc2fe3cb79b98fee18d505d1ebe59b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [36, 66], "expectation_value": -2.528874730819183, "params": [[-0.0661, -0.0731, -0.062, -0.0497], [0.062, 0.0738, 0.0711, 0.0694]], "bitstrings": ["1011011", "0111101"], "total_optimization_steps": 10, "probabilities": [0.02045777756527416, 0.020457777565274168], "optimization_time": 8.34995150566101} | 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(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 *... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["1011110", "0101111", "1110110", "0111101", "1100111", "0111110", "1011011", "1001111"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.12079281128675705) q[0];
rz(0.5674813099381055) q[0];
rx(3.387397693875746) q[1];
rz(0.5870240098225082) q[1];
rx(2.8522529650362514) q[2];
rz(0.21132100675353965) q[2];
rx(0.04928141958692428) q[3];
rz(-1.4732088475229657) q[3];
rx(-0.13805548395794637) 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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IZIIIZI",
"IZIZIII",
"IZZIIII",
"IIZIZII",
"IZIIZII",
"ZIZIIII",
"ZZIIIII",
"ZIIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIZII",
"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,
-1,
-1.5,
-2,
-2,
-1,
-1
] | 0.978839 | [
0.12079281128675705,
0.5674813099381055,
3.387397693875746,
0.5870240098225082,
2.8522529650362514,
0.21132100675353965,
0.04928141958692428,
-1.4732088475229657,
-0.13805548395794637,
-0.5254705969434057,
0.05901400317539679,
-0.4027360692677126,
0.4972066229465188,
0.5280601181764276
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 16 |
4551088094349489485 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 5], [2, 5, 6], [0, 3], [4, 6], [1, 7]]} | {"states": [460, 396], "expectation_value": -1.2789816024058163, "params": [1.0028000000000001, -0.08270000000000001, 0.9942000000000001, 0.0086, 0.999, -0.09970000000000001, 1.0041, 0.006, 0.9946, 0.3159, 0.7325, 0.0076, 0.9873000000000001, -0.0466, 0.34290000000000004, 0.0034000000000000002, 0.9966, -0.0304, 0.1895, ... | 0.16666666666666666 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.16666666666666663 * Z(1)... | 6 | 9 | 1 | {"smallest_eigenvalues": [-2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -1.833333333333334, "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
ry(-0.31525370189979945) q[2];
h q[3];
ry(-0.46958268673186604) q[3];
cx q[0], q[3];
ry(0.46958268673186604) q[3];
cx q[0], q[3];
ry(0.9068597907647183) q[0];
ry(-0.5991314387331128) q[3];
h q[4];
ry(-0.46958268673186604) q[4];
h q[5];
ry(1.38387... | OPENQASM 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": []} | [
"ZIIIIIIZI",
"IIIZIIIZI",
"ZIIZIIIII",
"IIIZIIZII",
"IIZZIIIII",
"IIZIIIZII",
"IIIIIZIIZ",
"IIZIZIIII",
"IZIIIIIZI",
"IIIIIIIZI",
"ZIIIIIIII",
"IIIZIIIII",
"IIIIIIZII",
"IIZIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IZIIIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666663,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666663,
0,
0,
0,
0
] | 0.971734 | [
1.3838719063246991,
-0.9391653734637321,
0.7581363965856922,
0.6195920694026291,
-0.573644055235248,
0.4208800235395571,
-0.45282507044507675,
0.5745354427241784,
-0.292612736576072,
-0.3194130980279768,
-0.6305074037995989,
0.28791779872125156,
0.214521342215946,
0.2909517565380996,
-0.... | {
"n_parameters": 50,
"n_qubits": 9,
"optimal_eigenvalue": -2.1666666666666665,
"target_ratio": 0.97,
"target_value": -2.1016666666666666
} | 3 |
bb51b85a8f0cca1e878093cb2d4e9f25 | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 7, "source": 1, "target": 2}, {"weight": 43, "source": 1, "target": 3}, {"weight": 42, "source": 1, "target": 4}, {"weight": 5... | {"states": [61117, 59325], "expectation_value": -15.27355561832748, "params": null, "bitstrings": ["0001000101000010", "0001100001000010"], "total_optimization_steps": 100, "probabilities": [0.0422249952477763, 0.7004648347042955], "optimization_time": 892.5718140602112} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) ... | 1 | 16 | 4 | {"smallest_eigenvalues": [-15.999999999999963], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.999999999999948, "smallest_bitstrings": ["0001100001000010"], "largest_eigenvalue": 56.00000000000006} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0578548521713938) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0578548521713938) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0578548521713938) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0578548521713938) q[3];
cx q[1], q[3];
cx... | null | {"start_node": 0, "end_node": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\nry(1.5708) q[15];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[... | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIIZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0... | 0.970515 | [
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 |
c309a5b49340fd246c3b4bf5605246e0 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 11, "source": 0, "target": 8}, {"weight": 14, "sourc... | {"states": [425, 233], "expectation_value": -18.705165816428774, "params": [[-0.040400000000000005, -0.0159], [0.0732, 0.0737]], "bitstrings": ["001010110", "100010110"], "total_optimization_steps": 10, "probabilities": [0.008547757450626785, 0.010160593742956992], "optimization_time": 2.9661240577697754} | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(7)) + 10.5 * Z(2) + 6.5 * Z(0) + 12.5 * Z(1) + 12.0 * Z(3) + 2.5 * Z(4) + 9.5 * Z(5)... | 1 | 9 | 2 | {"smallest_eigenvalues": [-76.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["100010110"], "largest_eigenvalue": 136.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.260636512428376) q[0];
rz(0.0011430584678437938) q[0];
rx(0.5708160015587255) q[1];
rz(-0.20261498390763766) q[1];
rx(0.3673464898453403) q[2];
rz(0.06230705922210955) q[2];
rx(-0.08634872272234737) q[3];
rz(0.4989820713716071) q[3];
rx(0.42936439513247243) 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": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIZZIIII",
"IZIIIZIII",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIZIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
10.5,
6.5,
12.5,
12,
2.5,
9.5,
6,
13,
-9
] | 0.971144 | [
0.26063651242837593,
-0.24053022041624506,
0.5708160015587255,
0.04379252908037327,
0.36734648984534035,
0.12698123795332195,
-0.08634872272234735,
0.06446176792776889,
0.4293643951324724,
-0.35786124301264266,
0.47836199536933666,
0.1707959450818487,
-0.07267358067059938,
0.02011840381124... | {
"n_parameters": 171,
"n_qubits": 9,
"optimal_eigenvalue": -76.5,
"target_ratio": 0.97,
"target_value": -74.205
} | 50 |
80ea40a1cd4d9bb780bbb97236d9a0bc | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "so... | {"states": [222, 206], "expectation_value": -8.215437569961454, "params": [-0.0028, 0.006200000000000001, 2.6967000000000003, 0.003, 2.6905, 0.0027, -0.0024000000000000002, 0.0081, 1.4868000000000001, 0.0039000000000000003, 2.5048, 0.0034000000000000002, 2.7002, 0.0037, 2.7043, 0.0014, 0.003, 0.0047, 0.008, 0.005200000... | -0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(8) @ Z(4)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * ... | 18 | 9 | 1 | {"smallest_eigenvalues": [-9.375, -9.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.125, "smallest_bitstrings": ["100110001", "100101001"], "largest_eigenvalue": 26.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.08799439082692172) q[0];
rz(-0.04053423072081053) q[0];
rx(1.2006522271996443) q[1];
rz(-0.029852817323747956) q[1];
rx(1.2006522271996443) q[2];
rz(-0.08799439082692172) q[2];
rx(0.18833581716882544) q[3];
rz(-0.4849824546849156) q[3];
rx(-0.18261437563468638) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IIIZZIIII",
"IIIZIIIIZ",
"IIZIZIIII",
"IIZIIIIIZ",
"IIZZIIIII",
"IZIIZIIII",
"IZIIIIIIZ",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZIIZIIIII",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZIIIZII",
"IZIIIIZII",
"IIIIIIZZI",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIZIIIIII",
"... | [
-0.5,
1,
-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,
0.375,
2,
-1.625,
2,
3.5,
3.5,
-0.5,
1.75,
1.75,
-0.125
] | 0.978674 | [
-0.08799439082692172,
0.32284741774146336,
1.2006522271996443,
-0.029852817323747956,
0.18833581716882544,
-0.4849824546849156,
-0.18261437563468638,
0.4457386079991235,
1.0214807372461534,
0.12397842284346364,
1.0316252057604736,
-0.01557903318317504,
0.97996823976922,
0.23266544356229904... | {
"n_parameters": 74,
"n_qubits": 9,
"optimal_eigenvalue": -9.375,
"target_ratio": 0.97,
"target_value": -9.09375
} | 10 |
5429469470455041775 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 7, 8, 9, 10], [1, 3, 7, 8, 9, 11], [9, 6], [8, 6], [1, 2, 5, 10, 11], [1, 2, 5, 7, 8, 9], [1, 2, 5, 6], [2, 4]]} | {"states": [3219, 3283], "expectation_value": -2.393006705723747, "params": [0.8758, 0.8796, 1.5651000000000002, 1.5727, 0.4642, 0.4581, 0.4682, 0.4596, 1.578, 1.5763, 0.8779, 0.8755000000000001, 0.0016, 0.0025, 1.6676, 1.4746000000000001, 0.0454, 0.0436, 0.4646, 0.4666, 1.5705, 1.5768, 1.5728, 1.5690000000000002, 0.00... | 0.03333333333333333 * (Z(0) @ Z(1)) + 0.1 * (Z(9) @ Z(1)) + 0.03333333333333333 * (Z(9) @ Z(0)) + 0.1 * (Z(10) @ Z(1)) + 0.03333333333333333 * (Z(10) @ Z(0)) + 0.1 * (Z(10) @ Z(9)) + 0.1 * (Z(11) @ Z(1)) + 0.03333333333333333 * (Z(11) @ Z(0)) + 0.1 * (Z(11) @ Z(9)) + 0.1 * (Z(11) @ Z(10)) + 0.08333333333333334 * (Z(2) ... | 13 | 12 | 1 | {"smallest_eigenvalues": [-2.5166666666666675, -2.5166666666666675], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5166666666666666, "smallest_bitstrings": ["100100101100", "001100101100"], "largest_eigenvalue": 6.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.0426343981040709) q[0];
rz(0.03688290851903034) q[0];
ry(1.7722978634518984) q[1];
ry(0.31860163528137736) q[2];
ry(0.5517715335742971) q[3];
ry(1.5138762648831474) q[4];
ry(1.1156703878504846) q[5];
ry(0.09004938277170069) q[6];
ry(1.462598247218195) q[7];
ry(0.0... | 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": []} | [
"IIIIIIIIIIZZ",
"IIZIIIIIIIZI",
"IIZIIIIIIIIZ",
"IZIIIIIIIIZI",
"IZIIIIIIIIIZ",
"IZZIIIIIIIII",
"ZIIIIIIIIIZI",
"ZIIIIIIIIIIZ",
"ZIZIIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIZIIIIIIZII",
"IZIIIIIIIZII",
"ZIIIIIIIIZII",
"IIIIIIZIIIZI",
"IIZIIIZIIIII",
"IZIIIIZII... | [
0.03333333333333333,
0.1,
0.03333333333333333,
0.1,
0.03333333333333333,
0.1,
0.1,
0.03333333333333333,
0.1,
0.1,
0.08333333333333334,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
... | 0.970508 | [
1.0426343981040709,
1.7722978634518984,
0.31860163528137736,
0.5517715335742971,
1.5138762648831474,
1.1156703878504846,
0.09004938277170069,
1.462598247218195,
0.015251996530659893,
0.1537092385733071,
1.695941541528761,
1.5893197180939957,
0.07376581703806068,
-0.044040968357959856,
0.... | {
"n_parameters": 46,
"n_qubits": 12,
"optimal_eigenvalue": -2.5166666666666675,
"target_ratio": 0.97,
"target_value": -2.4411666666666676
} | 16 |
-7669591603986973208 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 3, 6, 7, 9], [0, 1, 2, 3, 4, 6, 9], [0, 2, 4, 5, 6, 7, 8, 9], [0, 1, 3, 4, 7], [0, 2, 3, 4, 5, 6, 8], [3, 4, 7, 8, 9]]} | {"states": [979, 983], "expectation_value": -1.1502449965340604, "params": [1.5876000000000001, 1.5596, 1.5702, 1.566, 1.5698, 1.5776000000000001, 1.5693000000000001, 1.5667, 0.0021000000000000003, 0.0021000000000000003, 2.1128, 1.0237, -0.0027, -0.0029000000000000002, -0.8039000000000001, -0.8131, 1.6677000000000002, ... | 0.14761904761904762 * (Z(0) @ Z(3)) + 0.09761904761904762 * (Z(6) @ Z(3)) + 0.11547619047619048 * (Z(6) @ Z(0)) + 0.15000000000000002 * (Z(7) @ Z(3)) + 0.11785714285714287 * (Z(7) @ Z(0)) + 0.06785714285714287 * (Z(7) @ Z(6)) + 0.12380952380952381 * (Z(9) @ Z(3)) + 0.09166666666666667 * (Z(9) @ Z(0)) + 0.09166666666666... | 13 | 10 | 1 | {"smallest_eigenvalues": [-1.1595238095238098, -1.1595238095238098], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.1595238095238094, "smallest_bitstrings": ["1000100000", "0000101000"], "largest_eigenvalue": 6.000000000000003} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.5896392288889738) q[0];
rz(0.01035067183640087) q[0];
ry(1.6430170699952045) q[1];
ry(1.4983930054010033) q[2];
ry(1.4497358885569074) q[3];
ry(0.022641114053001177) q[4];
ry(2.14026349087805) q[5];
ry(-0.09143550839355082) q[6];
ry(-0.618770746106317) q[7];
ry(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIZIIZIII",
"IIIZIIIIIZ",
"IIZIIIZIII",
"IIZIIIIIIZ",
"IIZZIIIIII",
"ZIIIIIZIII",
"ZIIIIIIIIZ",
"ZIIZIIIIII",
"ZIZIIIIIII",
"IIIIIIZIZI",
"IIIIIIIIZZ",
"IIIZIIIIZI",
"IIZIIIIIZI",
"ZIIIIIIIZI",
"IIIIIIZZII",
"IIIIIIIZIZ",
"IIIZIIIZII",
"IIZIIIIZII",
"ZIIIIIIZII"... | [
0.14761904761904762,
0.09761904761904762,
0.11547619047619048,
0.15000000000000002,
0.11785714285714287,
0.06785714285714287,
0.12380952380952381,
0.09166666666666667,
0.09166666666666667,
0.11785714285714287,
0.07380952380952381,
0.07380952380952381,
0.023809523809523808,
0.05,
0.023809... | 0.98687 | [
1.5896392288889738,
1.6430170699952045,
1.4983930054010033,
1.4497358885569074,
0.022641114053001177,
2.14026349087805,
-0.09143550839355082,
-0.618770746106317,
1.7311637904187918,
0.02070134367280174,
0.0635843657520736,
0.4711060758085806,
1.9420421415782483,
-0.06137174662373669,
-2.... | {
"n_parameters": 35,
"n_qubits": 10,
"optimal_eigenvalue": -1.1595238095238098,
"target_ratio": 0.97,
"target_value": -1.1247380952380954
} | 1 |
92e0d9744e7b0376f2c61fec7a621b77 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [88, 105], "expectation_value": -0.04642716439034225, "params": [[-0.0199, -0.0426], [0.0193, 0.0476]], "bitstrings": ["0100111", "0010110"], "total_optimization_steps": 10, "probabilities": [0.008286749170464784, 0.008501507549247977], "optimization_time": 3.538705348968506} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0) @ Z(3)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(1) @ Z(4)) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["0010110"], "largest_eigenvalue": 5.75} | 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];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIZZIII",
"IIIZIIZ",
"IZIIIIZ",
"IZIZIII",
"IZIZIIZ",
"IIZIIZI",
"ZIIIIZI",
"ZIZIIII",
"ZIZIIZI",
"ZIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
0,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25
] | 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 |
16e531ebd5c4fa365456c9500ea8e716 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [918, 934], "expectation_value": -1.3568751767113805, "params": [[[0.39490000000000003, 0.0483], [0.3966, 0.1335], [0.3957, 0.0892], [0.3401, 0.0257], [0.39490000000000003, -0.056600000000000004], [0.3941, -0.061200000000000004], [0.019100000000000002, -0.006900000000000001], [0.39940000000000003, 0.39690000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 15 | 10 | 4 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.625, "smallest_bitstrings": ["0001011010", "0001011001", "0101011000", "1000011001", "1000001101", "10000010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.17931700348995208) q[0];
rz(-0.5295651513983046) q[0];
rx(0.1383091762588557) q[1];
rz(-2.4427159179592346) q[1];
rx(0.19192920998953547) q[2];
rz(0.7692060885471252) q[2];
rx(0.010941951037614334) q[3];
rz(1.0249064769628937) q[3];
rx(3.3823159256033737) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIIZZIZ",
"IIIIIIZZZI",
"IIIIIIZZZZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIIZZIIIZ",
"IIZZIIIIII",
"IIIIIZIIZI",
"IZIIIIIIZI",
"ZIIIIIIIZI",
"IZIIIZIIII"... | [
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,
0.125,
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... | 0.970005 | [
-0.17931700348995208,
-0.5295651513983046,
0.1383091762588557,
-2.4427159179592346,
0.19192920998953547,
0.7692060885471252,
0.010941951037614334,
1.0249064769628937,
3.3823159256033737,
0.76377487209716,
2.7495714135870237,
0.6576922218401471,
3.0317260152509355,
-2.4912281243830905
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 29 |
44e8495c1eeae4e26ce46cf2532bece4 | 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": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 7, "source": 0, "target": 6... | {"states": [45, 41], "expectation_value": -15.638706323606964, "params": null, "bitstrings": ["1010010", "1010110"], "total_optimization_steps": 60, "probabilities": [0.23385726160713027, 0.46952566867748324], "optimization_time": 69.7647807598114} | -1.25 * (Z(0) @ Z(2)) + -1.75 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -1.75 * (Z(4) @ Z(2)) + -1.75 * (Z(4) @ Z(0)) + 4.25 * (Z(6) @ Z(0)) + -1.75 * (Z(6) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.75 * (Z(1) @ Z(6)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 3.0 * Z... | 1 | 7 | 4 | {"smallest_eigenvalues": [-23.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["1010110"], "largest_eigenvalue": 23.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.5519503449681885) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.017208535175287056) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.1480152089961798) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(0.017208535175287056) q[4];
cx ... | 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(1.2796) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"ZIIIIIZ",
"ZIIZIII",
"IIIZIZI",
"ZIIIIZI",
"IZIIZII",
"IZIZIII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII"
] | [
-1.25,
-1.75,
-1,
-1.75,
-1.75,
4.25,
-1.75,
-0.5,
-1.75,
-0.75,
-1,
-1.75,
-1,
-0.25,
3,
-3.5,
0.75,
4,
-3
] | 0.971147 | [
-0.5519503449681885,
0.017208535175287056,
-0.1480152089961798,
0.27545424319755374,
0.12372846103740961,
-0.38112154939511655,
-0.34473723335479495,
0.32909856397856396,
-0.11483012108538189,
0.15375169245769268,
0.2619884410144011,
-0.08643920947285949,
-0.6077504432577657,
0.41782139429... | {
"n_parameters": 52,
"n_qubits": 7,
"optimal_eigenvalue": -23.75,
"target_ratio": 0.97,
"target_value": -23.037499999999998
} | 174 |
5930497901525850647 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 4], [2, 4], [1, 4], [2, 3]]} | {"states": [3, 28], "expectation_value": -0.010873367216083368, "params": [[0.0364], [-0.0376]], "bitstrings": ["11100", "00011"], "total_optimization_steps": 10, "probabilities": [0.03193225347687106, 0.03193225347687106], "optimization_time": 0.3450894355773926} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["11100", "00011"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(0.6828403762763837) q[0];
h q[1];
h q[2];
h q[3];
ry(-0.058180628891419214) q[3];
h q[4];
ry(-0.058180628891419214) q[4];
cx q[2], q[4];
ry(0.058180628891419214) q[4];
cx q[2], q[4];
cx q[2], q[3];
ry(-0.11236016801799761) q[4];
cx q[1], q[4];
ry(0.1123601680... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[2], q[3];
rz(x0) q[3];
cx ... | null | {"circuits": [], "gradients": []} | [
"ZIIIZ",
"ZIZII",
"ZIIZI",
"IZZII",
"ZIIII",
"IIIIZ",
"IIZII",
"IIIZI",
"IZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.972664 | [
-0.11636125778283843,
1.4344243239513352,
-0.22472033603599523,
1.6194599447145896,
1.3656807525527674,
-0.9049588710937454,
0.2210438517907904,
-1.032134467647991,
-0.13906951602087106,
-0.08080953817547423,
0.27286820661468725,
-0.35063856944057503,
0.4144698690495771,
-0.465870358822942... | {
"n_parameters": 23,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 21 |
979e20fa342d097a41a2cd99b004ee1f | 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": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [223, 95], "expectation_value": -2.1516777719256015, "params": [0.0023, 0.0012000000000000001, 0.663, 0.6890000000000001, 0.7156, 0.7166, 1.0031, 0.9989, 0.0039000000000000003, 0.0006000000000000001, 0.996, 0.9962000000000001, 0.995, 0.998, 0.9971000000000001, 0.9975, 1.0082, 1.0038, 1.0035, 0.9995, 0.001700... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(1) @ Z(2)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(7) @ Z(1)) + 0.125 * (Z(8) @ Z(1)) + 0.125 * (Z(7) @ Z(5)) + 0.125 * (Z(8) @ Z(5)) + ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.875, "smallest_bitstrings": ["1010110000", "1010100100", "1010100010", "1100100001", "1001100100", "1110100000", "1100100100", "1100101000"], "largest_eigenvalue": 6... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.01639940190324564) q[0];
rz(-0.09112310478793795) q[0];
rx(0.14383958951193995) q[1];
rz(0.3355433591116594) q[1];
cx q[1], q[0];
rz(0.1946470144932977) q[0];
cx q[1], q[0];
rx(-0.016399401903245635) q[0];
rz(-0.5314692985240015) q[0];
rz(0.23933950950538713) q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIZZZI",
"IIIIZZIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIZZZIIII",
"IIIIZIIIZI",
"IIZIIIIIZI",
"IZIIIIIIZI",
"IIZIZIIIII",
"IZIIZIIIII",
"IZZIIIIIII",
"IIZIZIIIZI",
"IZIIZIIIZI",
"IZZIIIIIZI",
"IZZIZIIIII",
"IZZIZIIIZI",
"IIIZIIIZII"... | [
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,
0.125,
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,
... | 0.9732 | [
-0.01639940190324564,
0.10352390970535925,
0.14383958951193995,
0.3355433591116594,
0.3078576328110699,
0.5764728574284009,
1.6457984941502548,
-0.10514791409987462,
0.05650991192769124,
0.5532852838672673,
1.2976874841650705,
-0.14977956404263973,
1.2689160166224644,
0.07300354699063141,
... | {
"n_parameters": 54,
"n_qubits": 10,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 44 |
8627cac5692b6aae3c2c208c37b0b1f4 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 5, "target": 7}, {"sour... | {"states": [255, 127], "expectation_value": -0.7770913469379648, "params": [[0.0614], [-0.049300000000000004]], "bitstrings": ["00000000", "10000000"], "total_optimization_steps": 10, "probabilities": [0.005153727861194218, 0.00521645703092962], "optimization_time": 1.5742201805114746} | -1.0 * (Z(1) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(3)) + -2.5 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.8488629866718265) q[0];
rz(0.06973261518818183) q[0];
rx(-0.06805114516913745) q[1];
rz(0.048391092564758806) q[1];
rx(0.014912686430725186) q[2];
rz(0.048391092564758806) q[2];
rx(-0.03842465069051541) q[3];
rz(-0.10158869724559011) q[3];
rx(-0.06528783705505248) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[4], q[3]... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIZIIII",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIIZ"
] | [
-1,
-2.5,
1,
-2,
-2,
0.5,
0.5,
-2.5,
1,
-2.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.974501 | [
1.8488629866718265,
0.06973261518818183,
-0.06805114516913745,
0.048391092564758806,
0.014912686430725186,
-0.03842465069051541,
-0.10158869724559011,
-0.06528783705505248,
-0.087975901203544,
-0.031374305504709585,
-0.24965651382927773,
0.033916478997841976,
-0.002774375493819016,
3.10042... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 2 |
dc72488dd6090670edbeccc77e6da35f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}, {"capacity": 6, "so... | {"states": [15, 1], "expectation_value": -1.3549768887392397, "params": [[-0.0669, -0.0743, -0.0679, -0.0654], [0.07050000000000001, 0.0763, 0.0722, 0.0704]], "bitstrings": ["10000", "11110"], "total_optimization_steps": 10, "probabilities": [0.068867772038288, 0.07997407467636101], "optimization_time": 2.7564647197723... | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(4) + 0.25 * Z(2) + 0.75 * Z(3) | 1 | 5 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.022458364995426305) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.7680783155629591) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(-1.601733329848004) q[3];
cx q[1], q[3];
rz(-0.5097096949881657) q[1];
rx(-1.660495736858362) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"ZIIIZ",
"IIZZI",
"IZIZI",
"IZZII",
"IIIZI",
"IIIIZ",
"ZIIII",
"IIZII",
"IZIII"
] | [
-0.25,
0.5,
-0.5,
-1.5,
-0.75,
-1.25,
-0.25,
0.5,
0.25,
0.75
] | 0.981681 | [
-0.022458364995426305,
1.7047053329317832,
-1.7680783155629591,
-1.601733329848004,
-2.8853817213992103,
-0.5097096949881654,
1.464742343611176,
1.1540289150876992,
-1.6604957368583617,
0.003138072776439696,
1.489664131891325,
-1.1346427705466027,
-1.409100124374533,
-1.1761233738238577,
... | {
"n_parameters": 18,
"n_qubits": 5,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 245 |
681317cce116b7c317d2d1166a0937e1 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [42, 44], "expectation_value": -3.9963978963935887, "params": null, "bitstrings": ["1010101", "1010011"], "total_optimization_steps": 27, "probabilities": [0.06635262930972333, 0.9303262229214769], "optimization_time": 23.763927221298218} | 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(6) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + -1.0 * Z(3) + -1.0 * Z(0) + -1.0 * Z(4) + -1.0 * Z(5) + -0.5 * Z(6) + 0.0 * Z(1) + -1.0 * Z(2) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["0001111", "0101110", "1010101", "1010011"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.2653211005769242) q[0];
cx q[3], q[0];
h q[4];
cx q[0], q[4];
rz(-0.2653211005769242) q[4];
cx q[0], q[4];
h q[5];
cx q[0], q[5];
rz(-0.2653211005769242) q[5];
cx q[0], q[5];
rz(0.8526905993575316) q[0];
rx(0.88180115... | 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(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"IIZIIIZ",
"IZIIIIZ",
"IZZIIII",
"ZIIZIII",
"ZIIIIZI",
"IIIZZII",
"IIZIZII",
"IZIIZII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-1,
-0.5,
0,
-1
] | 0.764122 | [
-0.2653211005769242,
0.8526905993575312,
1.319009349126271,
-2.5209900163082057,
0.8818011504971432,
1.18332886007987,
-2.851170190766367,
-2.4976708840306894,
-0.4815721680834389
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 330 |
-4334583053433521702 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], "hyperedges": [[2, 3, 6, 7, 8, 10, 12, 13], [0, 3, 5, 6, 7, 8, 9, 10, 11, 13], [0, 3, 5, 6, 8, 9, 10, 11, 12, 13], [3, 4, 6, 8, 9, 13], [0, 2], [1, 4, 5, 6, 8, 9, 10, 13], [0, 4, 5, 7, 8, 10, 11, 13], [1, 2, 10], [0, 1, 4, 7, 9, 13], [2, 6, 10, 11, 13], [2, 5, 7... | {"states": [12415, 13439], "expectation_value": -3.06313470672405, "params": [[[1.7004000000000001, 0.003], [3.1433, 0.0027], [0.6262, 0.0081], [1.6444, 0.0039000000000000003], [0.8391000000000001, 0.0034000000000000002], [1.1589, 0.0037], [0.8317, 0.0014], [3.1439000000000004, 0.0047], [2.7683, 0.005200000000000001], ... | 0.12023809523809523 * (Z(2) @ Z(3)) + 0.1261904761904762 * (Z(6) @ Z(3)) + 0.08571428571428572 * (Z(6) @ Z(2)) + 0.09126984126984128 * (Z(7) @ Z(3)) + 0.1357142857142857 * (Z(7) @ Z(2)) + 0.05793650793650794 * (Z(7) @ Z(6)) + 0.1357142857142857 * (Z(8) @ Z(3)) + 0.06904761904761905 * (Z(8) @ Z(2)) + 0.10238095238095239... | 1 | 14 | 1 | {"smallest_eigenvalues": [-3.8194444444443287], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.795238095237925, "smallest_bitstrings": ["00101110000000"], "largest_eigenvalue": 18.500000000000036} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
rx(3.2568068516706994) q[0];
rz(0.05063704258660476) q[0];
rx(3.09340775049677) q[1];
rz(-0.36259430525679637) q[1];
rx(-0.14865973292185283) q[2];
rz(0.47771134757668704) q[2];
rx(2.996370532149136) q[3];
rz(0.15289444136229133) q[3];
rx(0.7151109230012049) 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": []} | [
"IIIIIIIIIIZZII",
"IIIIIIIZIIZIII",
"IIIIIIIZIIIZII",
"IIIIIIZIIIZIII",
"IIIIIIZIIIIZII",
"IIIIIIZZIIIIII",
"IIIIIZIIIIZIII",
"IIIIIZIIIIIZII",
"IIIIIZIZIIIIII",
"IIIIIZZIIIIIII",
"IIIZIIIIIIZIII",
"IIIZIIIIIIIZII",
"IIIZIIIZIIIIII",
"IIIZIIZIIIIIII",
"IIIZIZIIIIIIII",
"IZIIIIIIIIZIII"... | [
0.12023809523809523,
0.1261904761904762,
0.08571428571428572,
0.09126984126984128,
0.1357142857142857,
0.05793650793650794,
0.1357142857142857,
0.06904761904761905,
0.10238095238095239,
0.10912698412698413,
0.09285714285714286,
0.2857142857142857,
0.1607142857142857,
0.12698412698412698,
... | 0.970411 | [
3.2568068516706994,
0.05063704258660476,
3.09340775049677,
-0.36259430525679637,
-0.14865973292185283,
0.47771134757668704,
2.996370532149136,
0.15289444136229133,
0.7151109230012049,
0.3246535152081522,
0.7528152213563181,
0.1883215152421266,
-0.2087743710890702,
0.35909289310710785,
3.... | {
"n_parameters": 27,
"n_qubits": 14,
"optimal_eigenvalue": -3.8194444444443287,
"target_ratio": 0.97,
"target_value": -3.704861111110999
} | 15 |
1281665390819634262 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 1, 2, 4, 6, 11], [2, 3, 5, 6, 7, 10, 11], [1, 3, 4, 5, 6, 7, 9, 10, 11], [12, 6], [1, 2, 4, 5, 6, 7, 9], [0, 2, 4, 7, 11], [0, 2, 3, 5], [1, 2, 12, 7], [0, 1, 2, 4, 6, 7, 9, 10], [0, 2, 4, 9, 10, 12], [0, 1, 2, 5, 6, 7, 8, 11], [0, 3, 6, 7, 8, 10,... | {"states": [4006, 4070], "expectation_value": -4.330986729216216, "params": [0.4692, 0.4708, 1.5758, 1.5593000000000001, 1.572, 1.5675000000000001, 1.5658, 1.5627, 1.0974000000000002, 1.0931, 1.5716, 1.5691000000000002, 0.893, 0.8911, 1.5875000000000001, 1.5524, 0.49520000000000003, 0.4939, 0.5431, 0.5367000000000001, ... | 0.16666666666666669 * (Z(0) @ Z(1)) + 0.2472222222222222 * (Z(2) @ Z(1)) + 0.2595238095238095 * (Z(2) @ Z(0)) + 0.20793650793650792 * (Z(4) @ Z(1)) + 0.2845238095238095 * (Z(4) @ Z(0)) + 0.19166666666666665 * (Z(4) @ Z(2)) + 0.1861111111111111 * (Z(6) @ Z(1)) + 0.14047619047619048 * (Z(6) @ Z(0)) + 0.15436507936507934 ... | 13 | 13 | 1 | {"smallest_eigenvalues": [-5.184920634920634], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.180952380952381, "smallest_bitstrings": ["1000000011001"], "largest_eigenvalue": 25.500000000000007} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.09236113308310169) q[0];
rz(-0.4059920785533752) q[0];
ry(1.4243765140553228) q[1];
ry(1.5405494596528932) q[2];
ry(1.7117447268122383) q[3];
ry(1.5202575945247359) q[4];
ry(1.5236246793495498) q[5];
ry(1.654512651955587) q[6];
ry(1.7001478762603357) q[7];
ry(0.17... | OPENQASM 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": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZIZ",
"IIIIIIIIZIIZI",
"IIIIIIIIZIIIZ",
"IIIIIIIIZIZII",
"IIIIIIZIIIIZI",
"IIIIIIZIIIIIZ",
"IIIIIIZIIIZII",
"IIIIIIZIZIIII",
"IZIIIIIIIIIZI",
"IZIIIIIIIIIIZ",
"IZIIIIIIIIZII",
"IZIIIIIIZIIII",
"IZIIIIZIIIIII",
"IIIIIIIIIZIZI",
"IIIIIIIIIZI... | [
0.16666666666666669,
0.2472222222222222,
0.2595238095238095,
0.20793650793650792,
0.2845238095238095,
0.19166666666666665,
0.1861111111111111,
0.14047619047619048,
0.15436507936507934,
0.13055555555555554,
0.17063492063492064,
0.2988095238095238,
0.3055555555555556,
0.2888888888888889,
0... | 0.975697 | [
0.09236113308310169,
1.4243765140553228,
1.5405494596528932,
1.7117447268122383,
1.5202575945247359,
1.5236246793495498,
1.654512651955587,
1.7001478762603357,
0.17185816968768897,
0.05795519258695934,
1.4381372415811988,
1.6557667746432991,
-0.11114457049646286,
-0.8119841571067504,
0.0... | {
"n_parameters": 52,
"n_qubits": 13,
"optimal_eigenvalue": -5.184920634920634,
"target_ratio": 0.97,
"target_value": -5.029373015873015
} | 12 |
a1c773c0b570f64d3c3d3a505084c546 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 3... | {"states": [63, 33], "expectation_value": -1.0112524939162513, "params": [[0.057800000000000004, 0.0567], [-0.0492, -0.0449]], "bitstrings": ["1000000", "1011110"], "total_optimization_steps": 10, "probabilities": [0.011751489727928895, 0.013073582216596503], "optimization_time": 2.8077263832092285} | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(1) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * (Z(5) @ Z(3)) + 0.75 * Z(2) + -0.25 * Z(0) + -0.25 * Z(4) + 0.0 * Z(6) + 2.5 *... | 1 | 7 | 2 | {"smallest_eigenvalues": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1011110"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.5874017135860925) q[0];
h q[1];
ry(1.608914631976602) q[1];
h q[2];
ry(-1.5874017135860925) q[2];
h q[3];
ry(-1.5874017135860925) q[3];
h q[4];
ry(-1.5874017135860925) q[4];
ry(-0.05125907922144988) q[5];
rz(-pi) q[5];
h q[6];
ry(0.7820613171932738) 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] 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",
"IIZIZII",
"IIZIIIZ",
"ZIIIZII",
"ZIIIIIZ",
"IIZIIZI",
"ZIIIIZI",
"IIIZZII",
"IIZZIII",
"IIIZIZI",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IZIIIII"
] | [
-0.75,
-0.25,
-0.5,
-0.25,
1.5,
-0.25,
-1.25,
-1.5,
-1.75,
-1,
-1,
0.75,
-0.25,
-0.25,
0,
2.5,
-1.75,
-1
] | 0.99923 | [
1.608914631976602,
1.5641226343865475,
-1.5874017135860925,
-1.5438637253244718,
0.04865295550204985
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 1 |
3ab147cc948c972495cc9d6b1a04d6d2 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [37, 41], "expectation_value": -0.30573844485860124, "params": [[0.059800000000000006, 0.0017000000000000001, 0.0604], [-0.07150000000000001, -0.0094, -0.0395]], "bitstrings": ["011010", "010110"], "total_optimization_steps": 10, "probabilities": [0.01869618669963271, 0.01869618669963271], "optimization_time... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(1) + -0.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["011010", "000111", "010110", "001011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.2617382474824059) q[0];
rz(-0.25556683543857517) q[0];
rx(3.2549553359388126) q[1];
rz(-0.1904150377377148) q[1];
rx(0.11533762007237594) q[2];
rz(0.15040563274986068) q[2];
rx(-0.11428203016202747) q[3];
rz(0.06697334278189641) q[3];
rx(3.1542430010311207) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"IZIIZI",
"ZZIIII",
"ZIIIZI",
"IZIZII",
"IZZIII",
"IIZZII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.977185 | [
-0.2617382474824059,
-0.33943598223353566,
3.2549553359388126,
-0.1904150377377148,
0.11533762007237594,
0.15040563274986068,
-0.11428203016202747,
0.06697334278189641,
3.1542430010311207,
0.320444768261287,
3.301363365899691,
-0.4991032485906577,
3.212741703886446,
-0.18414658324060862,
... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 28 |
6206337d7d1967e1d98c4b708b2f9aeb | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [12, 44], "expectation_value": -4.0172168905774965, "params": [[[1.6036000000000001, 0.004], [0.0015, 0.0016], [1.6057000000000001, 0.0015], [1.6085, 0.007], [0.0023, 0.0043], [0.366, 0.004]]], "bitstrings": ["110011", "010011"], "total_optimization_steps": 160, "probabilities": [0.12553920359817794, 0.13404... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -2.0 * Z(1) + -1.0 * Z(0) + -2.0 * Z(4) + -1.5 * Z(5) + -0.5 * Z(2) + -1.0 * Z... | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["010011"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-3.104597454054124) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.53500557433382) q[1];
h q[2];
ry(1.4439796999895051) q[2];
cx q[2], q[0];
ry(-0.09228340053169692) q[0];
cx q[2], q[0];
ry(0.12874566237956261) q[2];
h q[3];
ry(1.4415177267275305) q[3];
h q[4];
ry(-1.535005574333... | 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[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIZI",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZZIIII",
"IIIZZI",
"IZIZII",
"IIZIZI",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-2,
-1.5,
-0.5,
-1
] | 0.993942 | [
-1.53500557433382,
-1.4376074027751256,
1.4439796999895051,
1.4415177267275305,
0.0014514087102965867,
0.18456680106339385,
0.15085650241299106,
0.25749132475912523,
-0.0014710015415432699,
-0.07056259980137612,
0.21107059744399434,
-0.014355156257897916
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
6365a3b59951c719f31900404e64ef91 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [192, 193], "expectation_value": -5.8444674393086276, "params": [0.3, 0.001, 0.3017, 0.0013000000000000002, 0.3044, 0.0034000000000000002, 0.3093, 0.0007, 0.1169, 0.0385, 0.1131, 0.043300000000000005, -0.0171, 0.1814, -0.0162, 0.1767, -0.012400000000000001, 0.1719, -0.013900000000000001, 0.1753, -0.0143, 0.1... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(7) ... | 7 | 8 | 3 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.0, "smallest_bitstrings": ["01111100", "01111010", "00011111", "00111110"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.5595229090245044) q[0];
rz(-0.2626689802842104) q[0];
rx(0.4869215759042548) q[1];
rz(-0.11780553999663244) q[1];
cx q[1], q[0];
rz(0.08271897166265565) q[0];
cx q[1], q[0];
rz(1.6064297867376967) q[0];
ry(0.7934322114386283) q[0];
rz(-1.6287366383388733) q[0];
rx(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZIIZI",
"IIZIZIII",
"IIZZIIII",
"IIZIIIZI",
"IZIIZIII",
"IZIZIIII",
"IZIIIIZI",
"IZZIIIII",
"IIIIZZII",
"IIIZIZII",
"IIZIIZII",
"IZIIIZII",
"ZIIIZIII",
"ZIIIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"IIZIIIII",
"IZIIIIII",
"IIIIIZI... | [
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,
-0.5,
-2,
-1,
-2,
-2,
-2,
-0.5
] | 0.973315 | [
0.5595229090245044,
-0.17995000862155458,
0.4869215759042548,
-0.11780553999663244,
0.23866495283267608,
-0.15525251437340584,
0.01647881249273823,
0.3398000143593659,
-0.0027804321416157463,
0.009526639379558638,
-0.19324493177743987,
-0.05835896978775189,
-0.19633791270622034,
0.25691062... | {
"n_parameters": 110,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 7 |
92c565ed8fed8ca60a141e6f389a7855 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 6}, {"weight": 20, "source": 1, "target": 3}, {"weight": 10, "source": 2, "tar... | {"states": [227, 218], "expectation_value": -21.997337045279036, "params": [[0.0285, 0.0125], [-0.0734, -0.0714]], "bitstrings": ["100011100", "100100101"], "total_optimization_steps": 10, "probabilities": [0.006446847371889499, 0.00799336692751024], "optimization_time": 3.4278478622436523} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 18.5 * Z(1) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 163.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.024724623627202902) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.024724623627202902) q[2];
cx q[0], q[2];
rz(2.126197205216754) q[0];
rx(1.105196404331105) q[0];
h q[3];
cx q[2], q[3];
rz(-0.024724623627202902) q[3];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"IZIIIIIZI",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"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,
4.5,
18.5,
2.5,
14.5,
9.5,
9.5,
20.5,
15,
-1,
11
] | 0.9195 | [
-0.024724623627202902,
-0.9213010578715495,
2.1261972052167537,
-0.9816480528719546,
-0.7269887864035431,
-1.0420248708289332,
-1.003832488574156,
1.0955085012024581,
1.484744269018895,
1.105196404331105,
0.27098302896974236,
-1.1647690331256695,
-1.0531885418454594,
-0.698873653246916,
... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -83,
"target_ratio": 0.97,
"target_value": -80.50999999999999
} | 500 |
fb3661142d8e003905bb73659b60c8ab | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [238, 1262], "expectation_value": -2.964516340206933, "params": [[[1.3948, 1.3394000000000001, 0.0038, 0.0054], [0.7119000000000001, -1.3422, 0.8387, 0.0029000000000000002], [0.029300000000000003, -0.8746, 0.030100000000000002, 0.0089], [-0.0182, 0.0666, 0.0315, 0.006], [1.4045, 0.0015, 1.4039000000000001, 0... | 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)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(2) @ Z(7)) + 0.125 * (Z(2) @ Z(8)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(4) @ Z(8)) + 0.125 * (Z(7) @ Z(8)) + -0.125 * (Z(4) @ Z(2) @ Z(7)) + ... | 11 | 11 | 1 | {"smallest_eigenvalues": [-3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.65625, "smallest_bitstrings": ["10100010001", "01010010100", "10100010100", "01100100100", "01010100100", "01101000001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.25592938562548495) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.25592938562548495) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(0.25592938562548495) q[1];
cx q[4], q[1];
cx q[4], q[3];
rz(0.2559293... | OPENQASM 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",
"IIIIIIIZZII",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIZZZIIII",
"IIIIIIZIZII",
"IIIZIIIIZII",
"IIZIIIIIZII",
"IIIZIIZIIII",
"IIZIIIZIIII",
"IIZZIIIIIII",
"IIIZIIZIZII",
"IIZIIIZIZII",
"IIZZIIIIZII",
"IIZZIIZIIII",
"IIZZIIZIZII",
"IIIIIIIZIIZ",
"IIIIIZIII... | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
-... | 0.924739 | [
0.25592938562548495,
-1.5262981736065109,
0.803276814258165,
-0.9817149154994218,
-1.20387662858185,
1.0070577492345878,
-0.24407988242893283,
0.37746613333560075,
1.1791296031035432,
0.026527124002056205,
-0.045266137886553835,
-2.4191350823878968,
-1.8592558869391052,
-0.305400682481034,... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 500 |
2a9ab16bb8bcea71e9f34a77597a5638 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, {"source": 3, "target": 6}, ... | {"states": [67, 54], "expectation_value": -0.7842647215915137, "params": [[-0.0665, -0.0579, -0.0528], [0.0728, 0.06470000000000001, 0.0674]], "bitstrings": ["0111100", "1001001"], "total_optimization_steps": 10, "probabilities": [0.01311102047066871, 0.01358101976556882], "optimization_time": 4.018722772598267} | 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 | 3 | {"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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} | [
"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 |
caf35114cd2a6c8ee1f15868fb61caaf | 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": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [56, 67], "expectation_value": -1.319375119507241, "params": [[0.0745, 0.0708, 0.08070000000000001], [-0.077, -0.0629, -0.0752]], "bitstrings": ["1000111", "0111100"], "total_optimization_steps": 10, "probabilities": [0.016243735009813767, 0.016262674219526967], "optimization_time": 4.24075722694397} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -1.5 * Z(5) + -0.5 * Z(2) + -1.0 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["1000111", "0001111", "0101011", "0111100", "0011110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.3749281718942854) q[0];
h q[1];
ry(1.436274641141968) q[1];
h q[2];
rz(-pi) q[3];
ry(-0.0027262288444135988) q[3];
ry(-0.01206206755472066) q[4];
rz(-pi) q[4];
h q[5];
ry(-1.546424165316911) q[5];
h q[6];
ry(-0.6161330637769687) q[6];
cx q[2], q[6];
ry(0.61... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZZIII",
"IIZIIZI",
"IZIZIII",
"IZZIIII",
"IZIIIZI",
"IZIIZII",
"ZIIZIII",
"ZIZIIII",
"ZIIIZII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1.5,
-0.5,
-1.5,
-0.5,
-1
] | 0.994718 | [
-1.546424165316911,
-1.5348459439607316,
-1.450976241884169,
1.436274641141968,
1.3749281718942854,
-1.2322661275539375,
0.6835045182460581,
-0.14628811761727423,
0.5727281584325545,
-0.2863042567543411,
0.15136107694265455,
-0.19566383028535825,
-0.2450926275102824,
0.21137010648256874,
... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
1e66658283a5aa7556a964c41aeb84ff | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 7}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.9327208318935083, "params": [[0.06330000000000001], [-0.0646]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.005390448566721068, 0.0054301226496583695], "optimization_time": 2.074571371078491} | 0.25 * (Z(0) @ Z(7)) + -1.25 * (Z(1) @ Z(7)) + -1.25 * (Z(2) @ Z(7)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(5)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -1.5 * (Z(4) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-12.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.25, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 17.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(0.005559243985634868) q[0];
cx q[7], q[0];
rz(-0.05468477954647444) q[0];
rx(1.4808495225559397) q[0];
cx q[7], q[1];
rz(-0.2251769942614919) q[1];
cx q[7], q[1];
cx q[7], q[2];
rz(-0.2251... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"ZIIIIIIZ",
"ZIIIIIZI",
"ZIIIIZII",
"IIIIIZZI",
"ZIZIIIII",
"IIZIIIZI",
"IZIIIIZI",
"IZZIIIII",
"IIIIZZII",
"ZIIZIIII",
"IIIZIIZI",
"IIIZIZII",
"IZIZIIII",
"IIIZZIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"IIIIZIII",
"IIIZIIII"
] | [
0.25,
-1.25,
-1.25,
-1,
-0.5,
-1.5,
-0.5,
-1.75,
-0.25,
-0.75,
-0.25,
-0.75,
-0.25,
-1.5,
-3.5,
-0.25,
4,
-0.75,
-1.25,
0,
-0.25,
2
] | 0.840546 | [
0.005559243985634868,
-0.2251769942614919,
0.014078273455673817,
-0.13258183894919015,
-0.6507055880512345,
-0.07610002195760088,
-0.05468477954647449,
-0.009310548940203356,
1.0145287463405748,
-0.984669273512638,
-0.31651126330196433,
-1.526871870686111,
1.48084952255594,
-0.006048706674... | {
"n_parameters": 25,
"n_qubits": 8,
"optimal_eigenvalue": -12.25,
"target_ratio": 0.97,
"target_value": -11.8825
} | 500 |
17726fd20187521f2d151fe20fe151a8 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "... | {"states": [246, 255], "expectation_value": -18.626205837640068, "params": null, "bitstrings": ["111100001001", "111100000000"], "total_optimization_steps": 100, "probabilities": [0.09534361379866292, 0.52242906324852], "optimization_time": 239.5255093574524} | 0.5 * (Z(0) @ Z(3)) + -2.0 * (Z(1) @ Z(3)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(4) @ Z(5)) + -2.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + -2.0 * (Z(8) @ Z(9)) + 1.0 * (Z(11) @ Z(9)) + -2.0 * (Z(11) @ Z(8)) + -2... | 1 | 12 | 1 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["111100000000"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.1491769621473074) q[0];
rz(-pi) q[0];
ry(-0.1491769621473074) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.42344619312025694) q[2];
h q[3];
ry(-1.5524594289170914) q[3];
h q[4];
ry(0.10730329746591236) q[4];
h q[5];
ry(0.10730329746591236) q[5];
h q[6];
h q[7];
ry(0.1... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(-1.5708) 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];... | [
"IIIIIIIIZIIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIZZIIII",
"IIIIZIZIIIII",
"IIIIZIIZIIII",
"IIIIIZZIIIII",
"IIIIIZIZIIII",
"IIIIZZIIIIII",
"IIZZIIIIIIII",
"ZIZIIIIIIIII",
"ZIIZIIIIIIII",
"IZZIIIIIIIII",
"IZIZIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIZ... | [
0.5,
-2,
-2,
0.5,
0.5,
-1.5,
-2,
-2,
0.5,
0.5,
-2,
-2,
1,
-2,
-2,
1,
-2,
-2,
-1.5,
1,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970979 | [
-1.5524594289170914,
-1.629347502376864,
0.3413292033432366,
1.4078474758254906,
0.2146065949318247,
0.2784307689410762,
0.8003465429585539,
-0.020345537313355457,
-0.27719496948005706,
1.0925669586729947,
1.2413014636196997,
1.1494440245735433,
1.5249322097342066,
0.5098644175222106,
0.... | {
"n_parameters": 55,
"n_qubits": 12,
"optimal_eigenvalue": -23,
"target_ratio": 0.97,
"target_value": -22.31
} | 63 |
31bcee1b066a63f64c6901bb1e1b69cb | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [5, 28], "expectation_value": -3.002348121085071, "params": null, "bitstrings": ["111010", "100011"], "total_optimization_steps": 30, "probabilities": [0.05888063726826326, 0.8445431773055133], "optimization_time": 21.57483220100403} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(5) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -1.0 * Z(4) + -0.25 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["100011", "011010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.8134308690563022) q[0];
rz(-0.004340210929724364) q[0];
rx(-0.04386525431228497) q[1];
rz(1.1021752077143088) q[1];
rx(-0.013238833040450147) q[2];
rz(-1.192074686665066) q[2];
rx(1.521660208972273) q[3];
rz(-0.5183062345743958) q[3];
rx(-0.07804897496144539) q[4]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"IZZIII",
"ZIIIZI",
"IIZZII",
"ZIIZII",
"ZIZIII",
"ZIZZII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-1,
-0.25
] | 0.981324 | [
-0.8134308690563021,
0.02233676954795123,
-0.04386525431228497,
0.6629278156883924,
-0.013238833040450145,
-0.8015821085417717,
1.521660208972273,
-0.03357304081524819,
-0.0780489749614454,
1.036539672959953,
1.1636048445698097,
0.011763346432697531,
0.06040645557731586,
-0.969466387518295... | {
"n_parameters": 47,
"n_qubits": 6,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 6 |
336dab1a0f29cbb797a483d443b63b25 | 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": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 4, "target": 5}, ... | {"states": [114, 51], "expectation_value": -3.999151813678912, "params": null, "bitstrings": ["0001101", "1001100"], "total_optimization_steps": 29, "probabilities": [0.06620831063402753, 0.9331798199285607], "optimization_time": 26.902669429779053} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(6) + 0.0 * Z(1) + -1.5 * Z(4) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["1001100", "1100100", "0001101"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.6473969236370147) q[0];
rz(0.35215528043695477) q[0];
rx(-0.013008556206086708) q[1];
rz(0.19332891221718235) q[1];
cx q[1], q[0];
rz(-0.1531385207380293) q[0];
cx q[1], q[0];
rx(1.4495710349674074) q[0];
rz(0.07118326740233222) q[0];
rx(0.11925075285288905) q[1];
... | 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[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"ZIIIIIZ",
"IIIZIZI",
"IIZZIII",
"ZIZIIII",
"IIZIZII",
"IZZIIII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIZIIII",
"IIIIZII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
0,
-1.5,
0,
0
] | 0.979379 | [
1.6473969236370147,
0.19901675969892568,
-0.013008556206086708,
0.19332891221718235,
0.36220551318406324,
0.3524502787744437,
0.05250514135166462,
-0.7512975575418178,
1.589520017552449,
0.030318796956053686,
0.23214023497988873,
-0.12974989725462044,
1.3485093281983127,
0.2263981211125346... | {
"n_parameters": 30,
"n_qubits": 7,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 15 |
148c98be54f48380a1d59caea5fb9c95 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 0, ... | {"states": [33, 1], "expectation_value": -1.3457117052311691, "params": [[-0.015600000000000001, -0.026600000000000002, -0.0441], [0.0016, 0.0082, 0.046700000000000005]], "bitstrings": ["11011110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.006174262863880385, 0.006882504477191763], "optimization_... | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(0)) + -2.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.03939289528804486) q[0];
rz(0.6104138206589251) q[0];
rx(-0.00681563279887627) q[1];
rz(-0.9006858468689849) q[1];
rx(-0.021959365881757037) q[2];
rz(0.3356439632631911) q[2];
rx(0.03471226526304572) q[3];
rz(0.8790273908335049) q[3];
rx(-0.006815632798876268) 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": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIZIIII",
"IZZIIIII",
"IIIIIZZI",
"IIIZIZII",
"IIZIIZII",
"IIIIZIZI",
"IIIZZIII",
"IIZIZIII",
"IZIIZIII",
"IIIIZZII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIII... | [
-0.25,
-1.5,
-2.25,
-0.25,
-0.25,
-1,
-1.25,
-1.5,
-1.25,
-0.25,
-0.25,
-0.75,
-0.5,
-1.5,
-0.25,
-1,
-1,
3.5,
-0.5,
0.75,
-0.25,
0.5,
0,
-0.5,
0.25,
-3.75,
3
] | 0.976469 | [
-0.03939289528804486,
0.3056415618650099,
-0.006815632798876269,
-0.5864878321915629,
-0.021959365881757044,
0.5716771692755518,
0.03471226526304572,
0.731257367887284,
-0.33277460038548357,
-0.06527320802077959,
-0.4876274159857306,
-0.0662292616450873,
1.4837848577123118,
0.1080116767710... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -24,
"target_ratio": 0.97,
"target_value": -23.28
} | 8 |
690ab9a303c84e82b8d6c798626278a5 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [0, 832], "expectation_value": -41.33852536091054, "params": [-1.1469, 0.15180000000000002, 1.0248000000000002, 0.0053, -1.1854, 0.0704, 1.0035, 0.0098, 0.0024000000000000002, 1.8693000000000002, -0.0023, 0.0027, 0.9273, 0.152, -0.1715, 0.0055000000000000005, -0.0021000000000000003, 1.7347000000000001, 0.002... | -1.5 * (Z(0) @ Z(3)) + -1.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + -3.5 * (Z(4) @ Z(5)) + -4.0 * (Z(6) @ Z(5)) + -3.5 * (Z(6) @ Z(4)) + 1.0 * (Z(9) @ Z(5)) + -3.5 * (Z(9) @ Z(4)) + -3.5 * (Z(9) @ Z(6)) + 1.5 * (Z(2) @ Z(5)) + -3.5 * (Z(2) @ Z(4)) + -4.0 * (Z(2) @ Z(6)) + -3.5 * (Z(2) @ Z(9)) + -3.0 * (Z(8) @ Z(5)) + 1... | 6 | 10 | 1 | {"smallest_eigenvalues": [-43.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -40.0, "smallest_bitstrings": ["0010111111"], "largest_eigenvalue": 42.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.0713131931509305) q[0];
rz(1.7862098367790207) q[0];
rx(1.0594819371364768) q[1];
rz(1.5589265290462944) q[1];
rx(0.01573601181023064) q[2];
rz(2.2817926178052783) q[2];
rx(0.6615662260196581) q[3];
rz(2.620309016787145) q[3];
rx(0.03153201728100909) q[4];
rz(-3.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIIZIZI",
"IIIIIIIIZZ",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIZIZIIII",
"ZIIIZIIIII",
"ZIIIIZIIII",
"ZIIZIIIIII",
"IIIIZIIZII",
"IIIIIZIZII",
"IIIZIIIZII",
"ZIIIIIIZII",
"IZIIZIIIII",
"IZIIIZIIII",
"IZIZIIIIII",
"ZZIIIIIIII",
"IZIIIIIZII",
"IIZIZIIIII",
"IIZIIZIIII"... | [
-1.5,
-1.5,
0.5,
-3.5,
-4,
-3.5,
1,
-3.5,
-3.5,
1.5,
-3.5,
-4,
-3.5,
-3,
1,
1.5,
1,
-4,
1,
1,
-4,
-3,
1.5,
-3,
0.5,
0.5,
0.5,
1.5,
-2.5,
-3,
2,
-2.5,
1,
1
] | 0.970425 | [
1.0713131931509308,
0.2154135099841242,
1.0594819371364768,
-0.011869797748602046,
0.01573601181023064,
0.7109962910103812,
0.6615662260196581,
1.049512689992248,
0.031532017281009087,
1.6276333307871536,
0.011405340564087828,
1.8244243881924735,
0.033834528725764666,
0.81374651859747,
0... | {
"n_parameters": 94,
"n_qubits": 10,
"optimal_eigenvalue": -43,
"target_ratio": 0.97,
"target_value": -41.71
} | 72 |
01879f4c1200654f9c183f51d4d1496e | 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": 0, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6},... | {"states": [2047, 1792], "expectation_value": -15.636503129480376, "params": [[0.053000000000000005], [-0.1767]], "bitstrings": ["00000000000", "00011111111"], "total_optimization_steps": 20, "probabilities": [0.0030843036020808358, 0.003278409249335212], "optimization_time": 2.96036696434021} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -3.5 * (Z(3) @ Z(5)) + -3.5 * (Z(6) @ Z(5)) + -4.0 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + -4.0 * (Z(7) @ Z(3)) + 1.0 * (Z(7) @ Z(6)) + -4.0 * (Z(9) @ Z(5)) + -4.5 * (Z(9) @ Z(3)) + -4.0 * (Z(9) @ Z(6)) + 1.5 * (Z(9) @ Z(7)) + 2.0 * (Z(10) @ Z(5)) + -4... | 1 | 11 | 1 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["00011111111"], "largest_eigenvalue": 48.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.005657063570794406) q[0];
rz(0.9337258035837905) q[0];
rx(-0.8885111792235566) q[1];
rz(1.9039200267009306) q[1];
rx(-1.5673186994839194) q[2];
rz(1.7071903555788168) q[2];
rx(-0.0074981374813245716) q[3];
rz(1.4553739472195204) q[3];
rx(-0.007498137481324572) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[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 ... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIZIZIII",
"IIIIZZIIIII",
"IIIIZIIZIII",
"IIIZIZIIIII",
"IIIZIIIZIII",
"IIIZZIIIIII",
"IZIIIZIIIII",
"IZIIIIIZIII",
"IZIIZIIIIII",
"IZIZIIIIIII",
"ZIIIIZIIIII",
"ZIIIIIIZIII",
"ZIIIZIIIIII",
"ZIIZIIIIIII",
"ZZIIIIIIIII",
"IIIIIZZII... | [
-1.5,
0.5,
-1.5,
-3.5,
-3.5,
-4,
0.5,
-4,
1,
-4,
-4.5,
-4,
1.5,
2,
-4,
-4.5,
-3.5,
-4.5,
1,
1,
-4,
0.5,
-4,
1.5,
1,
2,
2,
-3.5,
-4.5,
-4,
-3.5,
0.5,
0.5,
0.5,
-3,
-3.5,
-3.5,
2,
-3.5,
-3.5,
2,
-4
] | 0.978631 | [
-0.005657063570794407,
-0.6370705232111057,
-0.8885111792235567,
0.3331236999060347,
-1.5673186994839197,
0.13639402878392093,
-0.007498137481324572,
-0.11542237957537538,
-0.03026777359984946,
0.03831259966305737,
-0.09696212238860348,
0.09324535623004288,
-0.037196920788848516,
0.2820740... | {
"n_parameters": 26,
"n_qubits": 11,
"optimal_eigenvalue": -74.5,
"target_ratio": 0.97,
"target_value": -72.265
} | 1 |
fdfbddd83ad5e4b88801b3192987124e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 2... | {"states": [57, 1], "expectation_value": -0.4350706347918426, "params": [[-0.0659], [0.0693]], "bitstrings": ["1000110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.010300741736971467, 0.010444446498400409], "optimization_time": 1.735156536102295} | -0.75 * (Z(0) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(1) @ Z(4)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * Z(4) + -0.25 * Z(0) + -0.75 * Z(5) + 1.0 * Z(6) + 0.75 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.75, "smallest_bitstrings": ["1111110", "1000110"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.3200396269150379) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.08926708559789197) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(-0.3200396269150379) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(-0.382786... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IZZIIII",
"IZIIIIZ",
"ZIIIIIZ",
"ZZIIIII",
"IIZIIZI",
"IIIIZZI",
"IIZZIII",
"ZIIZIII",
"IIIZIZI",
"IIIZZII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII"
] | [
-0.75,
-1.5,
-1,
2,
-0.25,
-0.75,
-1,
-0.5,
-0.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.75,
1,
0.75,
-0.25,
0
] | 0.810073 | [
-0.3200396269150379,
0.08926708559789197,
-0.3827861201307439,
0.3471470627240742,
-0.7515704665862538,
-0.3267668593634906,
0.16898582939016338,
-0.7763201657017763,
-0.815770852515257,
-1.535634986606571,
-0.5078065568147562,
-0.15503038467109106,
-0.7855234435767351,
0.5365222126647917,... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -9.75,
"target_ratio": 0.97,
"target_value": -9.4575
} | 448 |
60093ea65732b343d8ac63be7dcb7e35 | 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": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 2... | {"states": [64, 63], "expectation_value": -2.8399235516904215, "params": [[-0.054900000000000004, -0.0523, -0.0206], [0.0731, 0.06520000000000001, 0.049]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.022356282157381405, 0.02266639540798756], "optimization_time": 5.520397901... | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(5) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -2.0 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -2.25 * (Z(2) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + 0.75 * Z(3) + -0... | 1 | 7 | 3 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.12178335334348857) q[0];
ry(-0.007869263321115441) q[1];
ry(0.20801576466635258) q[2];
ry(0.008570263910213836) q[3];
ry(0.34213852368782627) q[4];
ry(0.15534073098527798) q[5];
ry(2.3070424566561436) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IZIIIIZ",
"ZIIZIII",
"ZIIIIIZ",
"ZZIIIII",
"IZIIIZI",
"IIIZZII",
"IZIIZII",
"IIIIZZI",
"IIZZIII",
"IZZIIII",
"IIZIIZI",
"IIZIZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
-0.5,
-0.25,
-1.25,
1,
-0.75,
-2,
-1,
-0.5,
-2.25,
-1,
-2,
-0.75,
-0.25,
0.75,
-0.25,
1,
-1,
1.5,
0.5,
-2.5
] | 0.973536 | [
-0.12178335334348857,
-0.007869263321115441,
0.20801576466635258,
0.008570263910213836,
0.34213852368782627,
0.15534073098527798,
2.3070424566561436,
0.13094827649235985,
-0.012413090717661241,
-0.022855341959053286,
0.0405743205535201,
-0.14347087381773754,
-0.03993434266620357,
0.0933760... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 29 |
64b81587301614454a8e204aef648a08 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 5, "source": 1, ... | {"states": [111, 65], "expectation_value": -4.358787892126839, "params": [[0.075, 0.0719, 0.0648], [-0.0838, -0.0819, -0.07540000000000001]], "bitstrings": ["10010000", "10111110"], "total_optimization_steps": 10, "probabilities": [0.018948514936570994, 0.020689832110204504], "optimization_time": 3.9170901775360107} | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -1.25 * (Z(7) @ Z(1)) + 2.0 * (Z(7) @ Z(0)) + -0.75 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + 1.75 * Z(1) + -0.25 * Z(0) + -3.0 * Z(3) + -1.75 * Z(4) + 0.75... | 1 | 8 | 3 | {"smallest_eigenvalues": [-13.5, -13.5, -13.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -11.5, "smallest_bitstrings": ["10010000", "10011000", "10111110"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.7620331655042796) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.009727605300973743) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(0.022309653861594385) q[2];
cx q[3], q[2];
h q[4];
cx q[1], q[4];
rz(0.022309653861594385) q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"IIIZIIZI",
"ZIIIIIZI",
"ZIIIIIIZ",
"IIIIZZII",
"IIIZIZII",
"IIZIZIII",
"IIZIIZII",
"IZIIIZII",
"IZZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII"
] | [
-0.25,
-1.5,
-0.75,
-1.25,
2,
-0.75,
-1,
-0.75,
-1.25,
-0.5,
-0.5,
1.75,
-0.25,
-3,
-1.75,
0.75,
2.5,
0,
0
] | 0.970256 | [
-0.7620331655042796,
0.009727605300973743,
0.022309653861594385,
-0.5342435375433542,
0.4659873954897646,
-0.037513852242874623,
-0.6135829027365842,
0.48420167523977486,
-0.6188044349738584,
-0.746188471536007,
1.1163776811111443,
-0.12719197134176755,
-0.03880296896392278,
-1.39805669698... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 176 |
23ed60bc96758366e843c21e3bc9a3e0 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [11, 7], "expectation_value": -22.98302062012748, "params": null, "bitstrings": ["11110100", "11111000"], "total_optimization_steps": 86, "probabilities": [0.11001358301823233, 0.621413230771058], "optimization_time": 158.31263399124146} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.... | 1 | 8 | 4 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(2.2678692430954843) q[0];
ry(0.133982112329514) q[0];
rz(-1.6423171496700617) q[0];
rz(2.865239814634158) q[1];
ry(0.10791559648463672) q[1];
rz(-2.28638342328192) q[1];
rz(1.9493878355086798) q[2];
ry(0.421390967996594) q[2];
rz(-1.6340873891194703) q[2];
rz(1.60446... | null | {"k": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.7752) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
3,
2.75,
3,
3,
3,
3,
2.75,
-7,
-7.25,
-7,
-7,
-7,
-6.25,
-6.5,
-6.5
] | 0.970676 | [
-0.1009869528208311,
0.2011463194306295,
-0.18388450202335396,
0.11641300867557425,
-0.1790840385320124,
0.2759826702065239,
0.2521979674672631,
-0.4285969017555645,
-0.1906059886326268,
0.9293906646938866,
0.9046304454595955,
0.13113208583620667,
1.1395547029818167,
-0.04090143663475966,
... | {
"n_parameters": 41,
"n_qubits": 8,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 14 |
39c299614cdca1aeef06b4d05c46dd6e | 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": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3... | {"states": [126, 1], "expectation_value": -0.7085209851382799, "params": [[0.041800000000000004, 0.0635], [-0.0342, -0.0431]], "bitstrings": ["0000001", "1111110"], "total_optimization_steps": 10, "probabilities": [0.010290839513971757, 0.011827503925385102], "optimization_time": 3.2433018684387207} | -1.0 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(6) @ Z(2)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @... | 1 | 7 | 2 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.7064181295083226) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(-0.5297412730546158) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(-0.5297412730546158) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(-0.17200761046108... | OPENQASM 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",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IIIIZZI",
"IIIZIZI",
"IIZIIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIIIIZI",
"IZIIZII",
"IZZIIII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IIIIIZI",
"ZIIIIII",
"IZIIIII"
] | [
-1,
-0.25,
-0.25,
-0.5,
-0.75,
-0.5,
-0.5,
-0.75,
-0.25,
2,
-0.25,
-1.25,
-1,
-0.25,
0.25,
-0.25,
-1.5,
2.25,
-0.75,
1.5,
-1.5
] | 0.970254 | [
-0.7064181295083226,
-0.5297412730546158,
-0.17200761046108173,
-0.6740578736102405,
0.8462304399433741,
-0.026248018073850438,
-2.2768178154757654,
-0.5136227084208217,
-2.491855359334902,
1.952256177134018,
-3.0458677864148798,
0.7066984414159515,
0.5264021877728264,
0.1704299764678417,
... | {
"n_parameters": 33,
"n_qubits": 7,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 230 |
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