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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
9915ff93784d747e82bcd9a73a2399e5 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}]} | {"states": [1, 3], "expectation_value": -3.0987550439233815, "params": [[[0.7082, 0.006500000000000001], [1.0393000000000001, 0.009600000000000001], [0.9879, 0.008700000000000001], [1.6007, 0.008], [1.6015000000000001, 0.0068000000000000005]]], "bitstrings": ["11110", "11100"], "total_optimization_steps": 160, "probabi... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -3.0 * Z(0) + -2.5 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-0.0251969072812812) q[0];
h q[1];
ry(-0.5380823333224228) q[1];
h q[2];
ry(-0.5380823333224228) q[2];
h q[3];
cx q[3], q[1];
ry(0.5380823333224228) q[1];
cx q[3], q[1];
ry(-0.8810269947366784) q[1];
ry(1.3888852652990713) q[3];
h q[4];
cx q[4], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
1.75,
2,
2,
-2.5,
-3,
-2.5,
-2.25,
-2.25
] | 0.972771 | [
-1.7357936832727832,
-1.0761646666448457,
0.8318258295933451,
1.3888852652990713,
-0.5583266175622739,
-0.9112528734271876,
0.7301946700289301,
-0.2369592768426538,
0.13507114255148295,
0.06045175738101835,
0.5736330844182135,
0.4348793797484596,
-0.5033799150929571,
-0.6485481651535171,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 14 |
f8645113517905e1df1749520352d679 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 6}, {"weight": 15, "source": 1, "target": 4}, {"weight": 7, "source": 2, "tar... | {"states": [351, 220], "expectation_value": -33.770427835155814, "params": null, "bitstrings": ["010100000", "100100011"], "total_optimization_steps": 100, "probabilities": [0.0903789040445417, 0.3121445371268592], "optimization_time": 186.9710168838501} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 6.0 * Z(1) + 5.0 * Z(0) + 12.0 * Z(2) + 8.0 * Z(4) + 8.0... | 1 | 9 | 4 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 130.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.10923383720549897) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.10923383720549897) q[2];
cx q[0], q[2];
rz(1.2299948032833266) q[0];
rx(1.0879082958788673) q[0];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.10923383720549897) q[3];
cx q[4]... | null | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(7.7632) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIZIIZIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
6,
5,
12,
8,
8,
17.5,
12,
6.5,
1
] | 0.859958 | [
0.10923383720549897,
-1.810537491794332,
1.229994803283326,
-1.6856305727411314,
-0.8120803734240312,
-1.7336898352556895,
1.3051021389879203,
1.3879897866400888,
1.0879082958788673,
-0.4710384321704608,
1.265319859463496,
-0.1555024889011401,
0.4251206411461428,
-0.2861529194851915,
-0.... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -71,
"target_ratio": 0.97,
"target_value": -68.87
} | 500 |
4bc37b26da0f51222429a67e38d55b8f | 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": 4}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [105, 255], "expectation_value": -6.7944012935947855, "params": null, "bitstrings": ["110010110", "100000000"], "total_optimization_steps": 100, "probabilities": [0.09217069642915929, 0.6256919901891174], "optimization_time": 223.29312777519226} | -0.25 * (Z(0) @ Z(4)) + -0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(7) @ Z(0)) + -0.25 * (Z(8) @ Z(4)) + 0.75 * (Z(8) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -1.0 * (Z(1) @ Z(7)) + -0.5 * (Z(1) @ Z(8)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(8)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(8)) + -0.75 * (Z(5) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-1.7347128891183488e-08) q[0];
cx q[4], q[0];
h q[5];
h q[6];
h q[7];
cx q[4], q[7];
rz(-1.7347128891183488e-08) q[7];
cx q[4], q[7];
cx q[0], q[7];
rz(-1.7347128891183488e-08) q[7];
cx q[0], q[7];
h q[8];
cx q[4... | 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(1.5681) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIZIIIZ",
"IZIIZIIII",
"IZIIIIIIZ",
"ZIIIZIIII",
"ZIIIIIIIZ",
"IIIIZIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IZIIIIZII",
"IZIIIZIII",
"ZIIIIZIII",
"IIIIIZZII",
"ZIIZIIIII",
"IIIZIIZII",
"IIIZIZIII",
"IZZIIIIII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZZIIIII",
"IIIIZIIII",
"IIIIIIIIZ",
"... | [
-0.25,
-0.25,
-0.25,
-0.25,
0.75,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.75,
-0.75,
0.25,
0.25,
1,
0.5,
0
] | 0.668474 | [
-1.7347128891183488e-8,
1.2533586225251228e-7,
-2.8523106027489244e-8,
-1.1183967720600031e-7,
-0.6878848908241337,
-1.570796261220588,
-1.570796324452154,
-1.5707962293283368,
-1.5707963097025133,
1.5707963605924862
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 311 |
0f435eed505f807fb8dc44643dfd43ce | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target"... | {"states": [5, 20], "expectation_value": -2.973039785722057, "params": null, "bitstrings": ["11010", "01011"], "total_optimization_steps": 15, "probabilities": [0.07436433115379543, 0.8991266787991344], "optimization_time": 9.656469106674194} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["11010", "01011", "10011"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.366669122515066) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.366669122515066) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.366669122515066) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.366669122515066) q[3];
cx q[0], q[3];
h q[4]... | 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(-1.5708) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IZIZI",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"ZZIII",
"IZZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1,
0
] | 0.608376 | [
0.366669122515066,
0.6186240853904678,
-0.8045916182441789
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 106 |
6b8130ebe692df9628e386b5e0979c6b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 6, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "s... | {"states": [91, 223], "expectation_value": -4.114211884129158, "params": [[0.06770000000000001, 0.0678], [-0.0679, -0.0719]], "bitstrings": ["110100100", "100100000"], "total_optimization_steps": 10, "probabilities": [0.005970554648612391, 0.006905905217430857], "optimization_time": 4.626546621322632} | -1.5 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -1.75 * (Z(5) @ Z(4)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(1)) + -1.5 * (Z(6) @ Z(2)) + -1.75 * (Z(7) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["100100000"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(6.559788928862443e-05) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(0.0006071732094547039) q[2];
cx q[3], q[2];
h q[4];
cx q[0], q[4];
rz(0.0006071732094547039) q[4];
cx q[0], q[4];
h q[5];
cx q[0], q[5];
rz(-0.000436579732551... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIIZIIZI",
"IIIIIZZII",
"IIIIZIZII",
"IIIZIIZII",
"IIIIIIZZI",
"IIZIIZIII",
"IIZIZIIII",
"IIZIIIIZI",
"IIZIIIZII",
"IZIIIZIII",
"IZIIZIIII",
"IZIIIIZII",
"IZZIIIIII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"ZIIZIIIII",
"ZIIIIIZII",
"... | [
-1.5,
-0.25,
-0.5,
-1.75,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-1,
-0.25,
-1.25,
-1.5,
-1.75,
-1,
-1.5,
-1,
2.5,
-0.75,
-0.75,
-1,
-4.5,
-0.25,
-0.25,
2.25,
-1,
4,
-0.5,
0.25,
0
] | 0.920984 | [
0.00006559788928862443,
0.0006071732094547039,
-0.00043657973255185954,
-1.3723993708486912,
0.0016630031053749938,
1.5667939678901213,
1.3985481350996867,
-0.001574725502075238,
-0.19110643729091945,
1.5813730521788851,
0.19296103726698885,
1.7097749896873955,
1.6835930808653674,
-1.37315... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -22,
"target_ratio": 0.97,
"target_value": -21.34
} | 500 |
4060c6f62958c919d94369053740f9b8 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"sour... | {"states": [312, 314], "expectation_value": -5.06943833199848, "params": [0.3039, 0.3083, -0.010100000000000001, -0.0081, 0.0795, 0.07730000000000001, 0.3073, 0.3099, 0.31010000000000004, 0.30460000000000004, 0.2977, 0.2999, 0.0745, 0.0767, 0.3002, 0.3049, -0.008400000000000001, -0.0027, 0.3085, 0.3043, -0.0146, -0.012... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + -1.0 * Z(6) + 0.0 * Z(0) + -2.0 * ... | 14 | 9 | 3 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["011000101"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.22950647600686808) q[0];
rz(pi/2) q[0];
ry(0.18819245689882397) q[1];
ry(-0.1279591926294531) q[2];
ry(0.5848875638894497) q[3];
ry(1.1003758749462453) q[4];
ry(0.5360060512270126) q[5];
ry(0.08851702411976393) q[6];
ry(0.216920016100138) q[7];
ry(0.287588583441058... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input fl... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIIZ",
"IIZIIIIZI",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIZIIIZI",
"ZIIIIIIZI",
"ZIIIIZIII",
"ZIIIZIIII",
"IIIIIZZII",
"IIIIZIZII",
"ZIIIIIZII",
"IZZIIIIII",
"ZZIIIIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-2,
-1,
-1,
0,
-2,
-1,
-0.5
] | 0.975533 | [
0.22950647600686808,
0.18819245689882397,
-0.1279591926294531,
0.5848875638894497,
1.1003758749462453,
0.5360060512270126,
0.08851702411976393,
0.216920016100138,
0.2875885834410584,
-0.01511957931153313,
0.1098145763070886,
-0.3579607005760204,
-0.45847126693398543,
0.32887469189702545,
... | {
"n_parameters": 103,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 41 |
fa12f3a697c97a90a7d75ad197dde7b9 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}]} | {"states": [37, 7], "expectation_value": -6.950769278611542, "params": null, "bitstrings": ["011010", "111000"], "total_optimization_steps": 55, "probabilities": [0.10567978594697186, 0.607881399029803], "optimization_time": 61.32445430755615} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * ... | 12 | 6 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(2.135653907332281) q[0];
ry(0.07785783286395775) q[0];
rz(-2.461338086738153) q[0];
rz(2.429152376567284) q[1];
ry(0.2252425377262643) q[1];
rz(-1.0510731615663547) q[1];
rz(-1.956988573421869) q[2];
ry(0.14605112814072668) q[2];
rz(0.30051180833493296) q[2];
rz(-3.0... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
1.75,
2,
2,
2,
2,
2,
1.75,
2,
2,
-0.75,
-0.75,
-0.75,
-0.25,
-0.25,
-0.25
] | 0.977057 | [
0.23599177523086315,
-0.24128829019517117,
0.08672641127394859,
0.5641813210321281,
0.02724449539707903,
-0.3809606943817887,
0.9600172844814231,
0.10376398558997606,
0.9072997747415072,
-0.031882398092854744,
0.9283660285539568,
-0.18778968286556685,
-0.0006073131649154268,
-0.03282407204... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 26 |
43307769d8a05a2ca68cecbc0fed0778 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1}, {"capaci... | {"states": [25, 31], "expectation_value": -0.3829794477265981, "params": [[-0.0553, -0.038400000000000004, -0.041800000000000004], [0.07250000000000001, 0.054200000000000005, 0.055600000000000004]], "bitstrings": ["100110", "100000"], "total_optimization_steps": 10, "probabilities": [0.021047707537333774, 0.02194437491... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 0.75 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(5)) + 0.0 * Z(1) + -0.25 * Z(0) + -1.0 * Z(4) + -0.25 * Z(5) + 1.0 * Z(2) + 0.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.25, "smallest_bitstrings": ["100000", "100010", "100110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.00023124809840155782) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.00023124809840155782) q[4];
cx q[0], q[4];
h q[5];
cx q[1], q[5];
rz(0.00030875566784865986) q[5];
cx q[1], q[5];
cx q[0], q[5];
cx q[1], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"IIIZZI",
"IZIZII",
"ZIIZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
-0.25,
-0.25,
-0.5,
0.75,
-0.25,
-0.5,
-0.25,
-0.75,
-0.25,
0,
-0.25,
-1,
-0.25,
1,
0.5
] | 0.846154 | [
-0.00023124809840155782,
0.00030875566784865986,
2.3115568584055075,
-3.216564759806828,
0.829794500941834,
-0.06741882085370919,
0.8321285704967755,
-0.06948214412449785,
0.5773648280487796,
0.00021406035029157414,
-0.0003257371873867132,
1.986953820724666,
-1.4634239239165174,
-1.0938387... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 500 |
598a895484db1dd124dda8633fc7a99c | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 4, "source": 0, "t... | {"states": [121, 109], "expectation_value": -26.644327329937138, "params": [[-0.033100000000000004, 0.0014, -0.003, 0.0086], [0.060200000000000004, 0.0495, 0.06520000000000001, 0.0651]], "bitstrings": ["10000110", "10010010"], "total_optimization_steps": 10, "probabilities": [0.015695215224985046, 0.01705933221321218],... | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(6) @ Z(7)) + 2.0 * Z(0) + 10.0 * Z(2) + 18.0 * Z(1) + 18.0 * Z(4) + 12.5 * Z(5) + 4.5 * Z(3... | 1 | 8 | 4 | {"smallest_eigenvalues": [-61.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 127.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(0.029682493265214625) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.029682493265214625) q[1];
cx q[0], q[1];
rz(1.5705612127381334) q[0];
rx(1.5769581474958607) q[0];
cx q[2], q[1];
rz(0.029682493265214625) q[1];
cx q[2], q[1];
h q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIIZIIZI",
"IIZIIZII",
"IIZZIIII",
"IIIZZIII",
"IIZIZIII",
"ZIIIIIZI",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IIIIZIII",
"ZIIIIIII",
"IZIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
2,
10,
18,
18,
12.5,
4.5,
13,
-0.5
] | 0.927327 | [
0.029682493265214625,
1.5705612127381332,
-1.5703481182591699,
-1.5706046945448842,
-1.571207379658283,
-1.570506269198802,
1.5706316520383239,
1.5769581474958605
] | {
"n_parameters": 8,
"n_qubits": 8,
"optimal_eigenvalue": -61,
"target_ratio": 0.97,
"target_value": -59.17
} | 203 |
3796afa0473620b48d81bea69c86f42d | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, ... | {"states": [26, 60], "expectation_value": -0.36624470200968173, "params": [[0.0175, 0.07970000000000001], [0.014, -0.061000000000000006]], "bitstrings": ["1100101", "1000011"], "total_optimization_steps": 10, "probabilities": [0.009004703603555925, 0.009370772203186193], "optimization_time": 3.251466989517212} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.0 * Z(2) + -2.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -1.5 * Z(5) + -2.0 * Z(... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["1000011"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.5899352928247497) q[0];
ry(-3.021496863739739) q[1];
rz(-pi) q[1];
ry(-3.034342491071087) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4030680960288997) q[3];
cx q[3], q[1];
ry(-0.10792990784099249) q[1];
cx q[3], q[1];
ry(0.0988631445583654) q[3];
h q[4];
ry(1.342770... | OPENQASM 3.0;
include "stdgates.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",
"IZIIIIZ",
"IZZIIII",
"ZIIIIIZ",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IZIIIZI",
"ZIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-2,
-0.5,
-1,
-1.5,
-2,
-0.5
] | 0.997951 | [
-1.5899352928247497,
-1.3672257662143292,
1.4030680960288997,
1.34277062910385,
-0.2907847084955473,
0.21585981568198498,
0.32020556690502916,
0.1209561364945819,
0.1977262891167308,
0.1722406381790694,
-0.06752529045448798
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 1 |
587dcb6e41d84a9813084cbb00af17fd | 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": 4, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target":... | {"states": [256, 768], "expectation_value": -28.16428176581342, "params": [-0.0033, 0.17930000000000001, 0.0004, 0.21760000000000002, -0.2718, 0.0074, -0.2775, 0.0051, 0.2982, -0.0002, 0.3075, -0.0004, 0.0018000000000000002, 0.18760000000000002, 0.0013000000000000002, 0.18330000000000002, -0.0024000000000000002, 0.2384... | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(0)) + -1.0 * (Z(8) @ Z(0)) + -1.5 * (Z(10) @ Z(0)) + -1.25 * (Z(10) @ Z(6)) + -0.75 * (Z(7) @ Z(3)) + -1.0 * (Z(7) @ Z(6)) + -0.75 * (Z(7) @ Z(8)) + -1.5 * (Z(7) @ Z(10)) + -0.5 * (Z(1) @ Z(7)) + -2.25 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(8)) + -2.25 * (Z(9... | 6 | 11 | 3 | {"smallest_eigenvalues": [-31.25, -31.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -26.25, "smallest_bitstrings": ["11011111111", "10011111111"], "largest_eigenvalue": 26.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.033963696567778576) q[0];
rz(1.8991362269510468) q[0];
rx(-0.06952720293770134) q[1];
rz(1.714108277154489) q[1];
rx(0.4007960701601042) q[2];
rz(1.5575565716778357) q[2];
rx(-0.11535381310690081) q[3];
rz(1.6584042176704212) q[3];
rx(-0.029136233884420246) 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": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IIIIZIIZIII",
"IIIIZIIIIIZ",
"IIZIIIIIIIZ",
"ZIIIIIIIIIZ",
"ZIIIZIIIIII",
"IIIZIIIZIII",
"IIIZZIIIIII",
"IIZZIIIIIII",
"ZIIZIIIIIII",
"IIIZIIIIIZI",
"IIIIIZIZIII",
"IIZIIZIIIII",
"IZIIIIIZIII",
"ZZIIIIIIIII",
"IZIZIIIIIII",
"IIZIIIZIIII",
"IIIZIIZIIII",
"IIIIIZZII... | [
-1,
-0.75,
-1.5,
-1,
-1.5,
-1.25,
-0.75,
-1,
-0.75,
-1.5,
-0.5,
-2.25,
-1.25,
-2.25,
-0.75,
-1,
-1.25,
-1.75,
-0.5,
-1.25,
5.25,
-1,
-0.25,
-1.5,
1.5,
-0.25,
1,
-4.25,
-1.75,
-0.25,
0.5,
0.5,
0.25,
0.25,
2.5
] | 0.971469 | [
-0.03396369656777858,
0.32833990015615117,
-0.06952720293770136,
0.1433119503595924,
0.40079607016010427,
-0.013239755117061228,
-0.11535381310690081,
0.08760789087552422,
-0.029136233884420243,
0.3159240876849281,
-0.07406018453779331,
0.25953761340670434,
0.17670405538946782,
0.164771778... | {
"n_parameters": 131,
"n_qubits": 11,
"optimal_eigenvalue": -31.25,
"target_ratio": 0.97,
"target_value": -30.3125
} | 14 |
1561028793734728821 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[2, 6], [8, 6], [0, 6], [8, 1], [9, 5], [3, 6], [8, 4], [9, 7], [10, 6]]} | {"states": [632, 594], "expectation_value": -0.03158325219762899, "params": [[0.047], [-0.0376]], "bitstrings": ["10110000111", "10110101101"], "total_optimization_steps": 10, "probabilities": [0.0005197013744019177, 0.0005197013744019177], "optimization_time": 90.83186340332031} | 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(10) @ Z(6)) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(8) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(9) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 ... | 13 | 11 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["10110000111", "10110101101", "01001010010", "01001111000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[2];
rz(0.9521005985733031) q[2];
cx q[6], q[2];
rz(5.001973057972009e-09) q[2];
rx(-0.7853981693954992) q[2];
h q[7];
h q[8];
cx q[6], q[8];
rz(0.9521005985733031) q[8];
cx q[6], q[8];
cx q[6], q[0];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[6], q[2];
rz(x0) q[2];
cx q[6], q[2];
cx q[6], q[8];
rz(x0) q[8];
cx q[6], q[8];
cx q[6], q[0];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIZII",
"IIZIZIIIIII",
"IIIIZIIIIIZ",
"IIZIIIIIIZI",
"IZIIIZIIIII",
"IIIIZIIZIII",
"IIZIIIZIIII",
"IZIZIIIIIII",
"ZIIIZIIIIII",
"IIIIZIIIIII",
"IIIIIIIIZII",
"IIZIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIZIIIII",
"IZIIIIIIIII",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIZIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.485829 | [
0.9521005985733031,
5.00197315149574e-9,
-0.7853981693954992
] | {
"n_parameters": 3,
"n_qubits": 11,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 103 |
866ee5d574b2d90a8b20695233762fdc | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [413, 397], "expectation_value": -107.91566875620265, "params": [0.602, 0.0098, -0.0026000000000000003, 0.0064, 2.7018, 0.0, 2.7049000000000003, 0.0041, 0.8837, 0.0073, 0.003, 0.008, 1.4766000000000001, 0.0097, 2.7062, 0.0088, 2.7042, 0.0029000000000000002, 0.003, 0.0077, 2.6985, 0.0086, 0.0049, 0.0023, 0.00... | 8.0 * (Z(2) @ Z(3)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(4) @ Z(2)) + 8.0 * (Z(5) @ Z(8)) + 8.0 * (Z(6) @ Z(2)) + 8.0 * (Z(6) @ Z(8)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(0) @ Z(7)) + 8.0 * (Z(10) @ Z(7)) + 8.0 * (Z(10) @ Z(0)) + 8.0 * (Z(9) @ Z(10)) + 8.0 * Z(3) + 14.0 * Z(2) + 3.5 * Z(4) + 14.5 * Z(8) +... | 18 | 11 | 1 | {"smallest_eigenvalues": [-133.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -124.0, "smallest_bitstrings": ["11001110010"], "largest_eigenvalue": 189.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.08780251200721119) q[0];
rz(-0.7631122202754552) q[0];
rx(0.0030269492765897937) q[1];
rz(0.758842550404196) q[1];
cx q[1], q[0];
rz(0.49870535224953455) q[0];
cx q[1], q[0];
rx(0.18193259111646) q[0];
rz(-0.34384816910336236) q[0];
rz(0.0560947581886272) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIIZIZII",
"IIZIIZIIIII",
"IIIIZIIIZII",
"IIZIZIIIIII",
"IIZZIIIIIII",
"IIIZZIIIIII",
"IIIZIIIIIIZ",
"ZIIZIIIIIII",
"ZIIIIIIIIIZ",
"ZZIIIIIIIII",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIZIIIIIIII",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IIIZIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
14,
3.5,
14.5,
-5.5,
12,
25.5,
1,
16,
-7,
-11
] | 0.972033 | [
0.08780251200721116,
-0.26440686802592045,
0.0030269492765897937,
0.758842550404196,
1.5528973785777682,
-0.06955973119561712,
1.4507756360420248,
0.11042919609246044,
0.21161090780090255,
0.4783040958644087,
0.02296811089300705,
0.8501616299819068,
0.3154989858495387,
-0.5380953969706267,... | {
"n_parameters": 58,
"n_qubits": 11,
"optimal_eigenvalue": -133,
"target_ratio": 0.97,
"target_value": -129.01
} | 11 |
ed17940d27aebadda70c31c5b11d2e16 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 9, "source": 0, "t... | {"states": [342, 218], "expectation_value": -9.623698332446963, "params": [[0.057], [-0.08270000000000001]], "bitstrings": ["010101001", "100100101"], "total_optimization_steps": 10, "probabilities": [0.004794337238121549, 0.005395608269866585], "optimization_time": 1.9230084419250488} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(8)) + 6.0 * Z(1) + 9.0 * Z(0) + 15.5 * Z(2) + 11.0 * Z(4) + 7.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-70.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 128.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.15866672171331941) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.15866672171331941) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.15866672171331941) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(-0.15866672171331941) q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIIZZII",
"IIIIZZIII",
"IIIZIIIIZ",
"IIIZIIZII",
"IIZIIIIZI",
"IIZZIIIII",
"ZIIIZIIII",
"IZIIIZIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"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,
6,
9,
15.5,
11,
7.5,
13,
2,
1.5,
9
] | 0.971003 | [
-0.15866672171331941,
-1.0809071203107758,
-0.30064965839619345,
-0.5102877140178146,
-0.8733998782451885,
1.0885724300439001,
-1.0913168284595332,
0.13810257412133115,
0.9133195435550004,
1.5142771870202085,
-0.5131275809009203,
-1.1831791592560787,
-0.05769660481193879,
-1.33952116695893... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -70.5,
"target_ratio": 0.97,
"target_value": -68.385
} | 275 |
86f7cf811774c9dc1f8ac7ebefafd51c | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}, {"weight": 1, "source": 2, "target": 5}, {"weight": 1, "... | {"states": [2714, 1370], "expectation_value": -1.5011412937615578, "params": [[[3.1614, 0.009000000000000001], [-1.6183, 0.0089], [3.16, 0.0045000000000000005], [2.032, 0.0012000000000000001], [3.1595, 0.0041], [-1.6177000000000001, 0.0025], [3.1616, 0.0097], [1.5131000000000001, 0.0066], [3.1608, 0.0023], [-1.618, 0.0... | 0.25 * (Z(0) @ Z(1)) + -0.0020000000000000005 * (Z(2) @ Z(0)) + -0.0020000000000000005 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00075 * (Z(4) @ Z(0)) + -0.0010000000000000002 * (Z(4) @ Z(2)) + 0.00075 * (Z(5) @ Z(1)) + -0.0010000000000000002 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00025000000000000006 * (Z(6) @ Z(... | 2 | 12 | 1 | {"smallest_eigenvalues": [-1.5160000000000005], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.516, "smallest_bitstrings": ["101010100101"], "largest_eigenvalue": 1.521} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-3.0790389152662755e-08) q[0];
cx q[1], q[0];
rz(1.5707962985663944) q[0];
rx(1.5707963327959067) q[0];
h q[2];
cx q[1], q[2];
rz(-1.5707963227011057) q[2];
cx q[1], q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(-3.0790389152662755e-08) 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[... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.0020000000000000005,
-0.0020000000000000005,
0.25,
0.00075,
-0.0010000000000000002,
0.00075,
-0.0010000000000000002,
0.25,
0.00025000000000000006,
0.0005000000000000001,
-0.0017499999999999998,
0.00025000000000000006,
0.0005000000000000001,
-0.0017499999999999998,
0.25,
0.00... | 0.833806 | [
-3.0790389152662755e-8,
-1.5707963227011057,
-2.208195592934281,
1.5707962985663946,
-0.09859111269968171,
1.5707963327959067
] | {
"n_parameters": 6,
"n_qubits": 5,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 168 |
42c8a30369b7a75bc5bed2e6569b1f7f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [3, 55], "expectation_value": -4.448940342077552, "params": [[-0.060500000000000005, -0.039900000000000005, -0.0358], [0.0747, 0.0614, 0.055900000000000005]], "bitstrings": ["11111100", "11001000"], "total_optimization_steps": 10, "probabilities": [0.012160497955868495, 0.012362235428627187], "optimization_t... | -1.0 * (Z(0) @ Z(1)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + 1.75 * (Z(7) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(5)) + -1.25 * (Z(3) @ Z(7)) + -2.5 * (Z(3) @ Z(2)) + -0.75 * (Z(6) @ Z(7)) + -2.75 * Z(1) + -0.25 * Z(0) + 0.0 * Z(5)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-15.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.75, "smallest_bitstrings": ["11001000"], "largest_eigenvalue": 18.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.756390603361468) q[0];
h q[1];
h q[2];
h q[3];
ry(1.960802890701371) q[3];
rz(-pi) q[4];
ry(-0.03363957311324232) q[4];
h q[5];
ry(0.7593746714538002) q[5];
cx q[2], q[5];
ry(-0.7593746714538002) q[5];
cx q[2], q[5];
ry(0.2851378825371864) q[2];
cx q[3], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIZIIIZI",
"IIZIIIIZ",
"ZIIIIIIZ",
"IIIIIZZI",
"IIZIIZII",
"IIIZIIZI",
"IIIIZIZI",
"IIZIZIII",
"ZIIIZIII",
"IIIIZZII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IZIIIIII"
] | [
-1,
-1.75,
-0.5,
1.75,
-0.5,
-3,
-0.5,
-1,
-1.75,
-1.25,
-2.5,
-0.75,
-2.75,
-0.25,
0,
-0.25,
-1,
-0.5,
4,
0.75
] | 0.973129 | [
1.960802890701371,
1.5187493429076004,
0.5702757650743728,
0.5884320148351232,
-0.35492320054565396,
-0.00790800591482066,
-0.009886103992825745,
-0.11041315474839637,
0.4022843241340985,
0.967658013117771,
1.6733011054968419,
-1.512781206722936,
1.8222976834996618,
-0.9970092432471047,
... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -15.75,
"target_ratio": 0.97,
"target_value": -15.2775
} | 41 |
2398b0b8852b758caa629303970b584b | 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": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [366, 494], "expectation_value": -2.1315220633333873, "params": [0.7806000000000001, 0.0098, 2.7966, 0.0033, 1.6478000000000002, 0.0006000000000000001, 2.1695, 0.0048000000000000004, 2.7988, 0.0024000000000000002, 0.6206, 0.0037, 2.8018, 0.0034000000000000002, 2.5216000000000003, 0.0013000000000000002, 2.796... | 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)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(3) @ Z(7)) + ... | 18 | 10 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.375, "smallest_bitstrings": ["0010100100", "1000010001", "0011000001", "0100010100"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.039254698902790326) q[0];
rz(pi/2) q[0];
ry(0.3648670593836806) q[1];
ry(0.3376361431186225) q[2];
ry(0.37423268336375176) q[3];
ry(0.5746655888699254) q[4];
ry(-0.09537820387184358) q[5];
ry(0.4618259931807873) q[6];
ry(0.43542575300609276) q[7];
ry(0.45015024645... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIZZZIII",
"IIIIIIZIIZ",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IIIZIIZIII",
"IIZIIIZIII",
"IIZZIIIIII",
"IIIZIIZIIZ",
"IIZIIIZIIZ",
"IIZZIIIIIZ",
"IIZZIIZIII",
"IIZZIIZIIZ",
"IIIIIZIIZI"... | [
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,
... | 0.9724 | [
0.039254698902790326,
0.3648670593836806,
0.3376361431186225,
0.37423268336375176,
0.5746655888699254,
-0.09537820387184358,
0.4618259931807873,
0.43542575300609276,
0.45015024645460006,
0.02352608316433561,
0.3808695150484027,
-0.32131097767290606,
0.1267658218374237,
-0.03091676333232282... | {
"n_parameters": 152,
"n_qubits": 10,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 36 |
be75fa736b6b3f13db10354ba7d09fd4 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"sour... | {"states": [108, 110], "expectation_value": -5.76016942087842, "params": [[[0.0014, -0.6786], [-0.0018000000000000002, -0.7862], [1.3002, 0.0016], [1.302, -0.0016], [0.0037, 0.7160000000000001], [1.3001, -0.0024000000000000002], [1.3083, -0.0014], [0.8444, 0.0011], [0.0993, 0.5882000000000001]], [[0.0014, 0.0092], [-0.... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(4) + -1.0 * Z(7) + ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["110010001"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-2.063713865974459) q[0];
ry(0.008759765262334357) q[0];
rz(1.0357723759705655) q[0];
rz(-1.9121498523076883) q[1];
ry(0.13021312211664027) q[1];
rz(1.2113561953106613) q[1];
rz(1.2639941441291729) q[2];
ry(2.7753892331161363) q[2];
rz(-1.6110695039170038) q[2];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIZIIIZ",
"IZIIIIIIZ",
"IZIIZIIII",
"IIIIIIZZI",
"IIIIZIIZI",
"IIIZZIIII",
"IIIZIIIZI",
"IIZIIIIZI",
"IIIIIZIZI",
"ZZIIIIIII",
"ZIZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIZIIII",
"IZIIIIIII",
"IIIIIIIZI",
"IIIZIIIII",
"IIZIIIIII",
"IIIIIZIII",
"ZIIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
-1,
-2,
-0.5,
-0.5,
0,
-0.5
] | 0.973459 | [
-0.00497172886306679,
-0.9858247742030701,
-0.06908075679850798,
-0.6812018829147747,
1.4218461028661022,
-0.11057481505710248,
1.6050050728639385,
-0.013195449499720263,
-0.10870441077247958,
0.7789547757408303,
1.4132791663797213,
-0.1246493163530364,
1.5053930494168963,
-0.0532898862083... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 8 |
df62b430c122c4297c9377287854fb07 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [13, 15], "expectation_value": -2.143931976438027, "params": null, "bitstrings": ["10010", "10000"], "total_optimization_steps": 18, "probabilities": [0.4479563463367854, 0.4479989981580356], "optimization_time": 10.35487961769104} | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(1) + 0.0 * Z(4) + 0.5 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.25, -2.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.25, "smallest_bitstrings": ["10000", "10010"], "largest_eigenvalue": 1.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.4192363165159487) q[0];
h q[1];
ry(0.8083877277033201) q[1];
h q[2];
ry(1.5715365335575289) q[2];
cx q[2], q[1];
ry(-0.8083877277033201) q[1];
cx q[2], q[1];
ry(0.0015275764421637146) q[2];
h q[3];
h q[4];
cx q[4], q[0];
ry(0.4192363165159487) q[0];
cx q[4... | null | {"source": 0, "sink": 4} | {"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(1.4449) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... | [
"IZIIZ",
"IZIZI",
"ZZIII",
"ZIIIZ",
"ZIIZI",
"IIZZI",
"IZIII",
"IIIIZ",
"IIIZI",
"ZIIII",
"IIZII"
] | [
-0.25,
-0.5,
-0.25,
0.5,
-0.25,
-0.5,
-0.5,
-0.25,
0.25,
0,
0.5
] | 0.976145 | [
1.5715365335575289,
1.6167754554066402,
-0.8384726330318975,
1.0454948872417675,
-1.0162029767581646,
0.5475724000797026,
-0.2924915317005682,
0.003055152884327429,
0.13920020947575934,
0.14473740227131043,
-0.1293458458327996,
-0.034238716862651924
] | {
"n_parameters": 12,
"n_qubits": 5,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 8 |
bc2988918914c6533097143186d1ba3b | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 6}, {"source": 3, "target": 7}, {"source": 4, "ta... | {"states": [0, 96], "expectation_value": -11.460487948774126, "params": [1.0119, 0.1131, -0.3831, 0.009600000000000001, 0.9843000000000001, 0.0328, -0.746, 0.0057, -0.0024000000000000002, 1.4377, 0.002, 0.0085, 0.0035, 1.9463000000000001, 0.0016, 0.004, 0.0032, 1.5544, 0.0029000000000000002, 0.006900000000000001, 1.009... | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -2.5 * (Z(6) @ Z(4)) + 1.0 * (Z(6) @ Z(2)) + -2.0 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 1.5 * Z(4) + -2.5 * Z(2) + -2.0 * Z(3) + -2.5 * Z(6) + -2.0 * Z(5) | 6 | 7 | 1 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["0011111"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(2.0453904004221855) q[0];
rz(1.6963816288544535) q[0];
rx(1.568424171731099) q[1];
rz(1.5521898783424177) q[1];
rx(0.06029362499530017) q[2];
rz(2.781765703943984) q[2];
rx(-0.01043902890154289) q[3];
rz(-2.190772360250616) q[3];
rx(0.04009829409591491) q[4];
rz(3.05... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIZII",
"IIZZIII",
"IIIZZII",
"ZIZIIII",
"ZIIIZII",
"ZIIZIII",
"IZIIZII",
"IZIZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IZIIIII"
] | [
-1,
-2,
0.5,
0.5,
-2.5,
1,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
1.5,
-2.5,
-2,
-2.5,
-2
] | 0.973662 | [
2.0453904004221855,
0.12558530205955706,
1.568424171731099,
-0.018606448452479402,
0.060293624995300166,
1.2109693771490881,
-0.010439028901542892,
2.521616620134074,
0.0400982940959149,
1.4793098751568416,
1.9680789313757894,
0.3925927306023758,
-0.028932064628093855,
2.323205983022513,
... | {
"n_parameters": 33,
"n_qubits": 7,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 82 |
-2548202229677255907 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 3, 7], [0, 3, 7], [1, 3, 9], [3, 4, 5, 8, 9], [9, 5, 1], [0, 2, 5], [0, 1, 3], [0, 3, 4, 6, 9], [9, 2, 7], [1, 4, 6, 7, 9], [5, 6]]} | {"states": [1014, 502], "expectation_value": -1.7465876308744575, "params": [0.6991, 0.1912, 0.6894, 0.007, 1.0866, -0.0033, 1.084, -0.0009000000000000001, 1.0957000000000001, 0.0039000000000000003, 1.1005, 0.002, 1.0898, 0.0036000000000000003, 1.0924, -0.0007, 1.1034000000000002, -0.0204, 1.0968, 0.0001, 1.0939, -0.10... | 0.4333333333333333 * (Z(9) @ Z(3)) + 0.3333333333333333 * (Z(7) @ Z(3)) + 0.3833333333333333 * (Z(7) @ Z(9)) + 0.3833333333333333 * (Z(0) @ Z(3)) + 0.05 * (Z(0) @ Z(9)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.3333333333333333 * (Z(1) @ Z(3)) + 0.3833333333333333 * (Z(1) @ Z(9)) + 0.05 * (Z(1) @ Z(7)) + 0.166666666666... | 8 | 10 | 1 | {"smallest_eigenvalues": [-3.2333333333333325, -3.2333333333333325], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0999999999999996, "smallest_bitstrings": ["1000001001", "1000001011"], "largest_eigenvalue": 10.499999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.21351045324750925) q[0];
rz(2.4287792239008725) q[0];
rx(1.4184783100152678) q[1];
rz(-0.016554153319557383) q[1];
cx q[1], q[0];
ry(0.10390141420457624) q[0];
cx q[1], q[0];
ry(-0.25249052346678136) q[0];
rz(-1.0273998732025706) q[0];
rx(1.1436652869793145) 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": []} | [
"ZIIIIIZIII",
"IIZIIIZIII",
"ZIZIIIIIII",
"IIIIIIZIIZ",
"ZIIIIIIIIZ",
"IIZIIIIIIZ",
"IIIIIIZIZI",
"ZIIIIIIIZI",
"IIZIIIIIZI",
"IIIIIIIIZZ",
"IIIIIZZIII",
"ZIIIIZIIII",
"IIZIIZIIII",
"IIIIIZIIIZ",
"IIIIIZIIZI",
"IIIIZIZIII",
"ZIIIZIIIII",
"IIIIZIIIIZ",
"IIIIZIIIZI",
"IIIIZZIIII"... | [
0.4333333333333333,
0.3333333333333333,
0.3833333333333333,
0.3833333333333333,
0.05,
0.16666666666666666,
0.3333333333333333,
0.3833333333333333,
0.05,
0.16666666666666666,
0.1,
0.15000000000000002,
0.05,
0.05,
0.05,
0.05,
0.21666666666666667,
0.16666666666666666,
0.166666666666... | 0.97014 | [
0.21351045324750928,
0.857982897105976,
1.4184783100152678,
-0.016554153319557383,
2.0343982593106262,
-0.16240731956470864,
0.820433989126732,
-0.30528155706418664,
1.153683865416505,
-0.08682540684243953,
1.5832387189231545,
-0.03462834382659265,
0.660719828685539,
-0.22165713852541657,
... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -3.2333333333333325,
"target_ratio": 0.97,
"target_value": -3.1363333333333325
} | 35 |
edf882d81ff9cc6dd04b2b372b99a445 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [95, 127], "expectation_value": -7.991832960744636, "params": null, "bitstrings": ["10100000", "10000000"], "total_optimization_steps": 98, "probabilities": [0.11657775813715437, 0.5751793152187943], "optimization_time": 172.85419154167175} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + 1.25 * (Z(7) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(7)) + -1.5 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(7)) + -0.5 * (Z(4)... | 1 | 8 | 2 | {"smallest_eigenvalues": [-11.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 13.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-1.294178110467672) q[0];
h q[1];
ry(0.1383616754257138) q[1];
h q[2];
ry(1.575815943169374) q[2];
h q[3];
h q[4];
ry(0.787907971584687) q[4];
cx q[2], q[4];
ry(-0.787907971584687) q[4];
cx q[2], q[4];
h q[5];
ry(0.8388306177923908) q[5];
cx q[3], q[5];
ry(-0... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[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[... | [
"IIIIIIZZ",
"IZIIIIIZ",
"ZIIIIIIZ",
"IIZIIIZI",
"ZIZIIIII",
"IZIIIZII",
"ZIIIIZII",
"IZIIZIII",
"IIZIZIII",
"IIIIZZII",
"IIIZIIZI",
"IZIZIIII",
"ZIIZIIII",
"IIZZIIII",
"IIIZIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIIIZII",
"IIIIZIII",
"IIIZIII... | [
-0.25,
-0.75,
1.25,
-1,
-0.75,
-1.5,
-0.75,
-0.5,
-1.25,
-0.75,
-0.75,
-0.75,
-0.75,
-0.5,
-1.25,
0,
-0.25,
-1,
-1,
0.5,
1.75,
-1.5,
1.5
] | 0.970238 | [
1.575815943169374,
1.432087070104017,
1.6776612355847815,
0.2767233508514276,
1.12397130943726,
0.7756512232512143,
0.9641730776805216,
-2.588356220935344,
-0.040075839562897835,
0.12549881444488223,
-0.21414780392445198,
0.47502116310819115,
0.5052557870900131,
-0.12045094258741418,
-0.... | {
"n_parameters": 50,
"n_qubits": 8,
"optimal_eigenvalue": -11.25,
"target_ratio": 0.97,
"target_value": -10.9125
} | 221 |
678308485f35da941d402fc5065b7236 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4},... | {"states": [0, 1935], "expectation_value": -14.658357568091883, "params": [0.2873, 0.673, -0.6768000000000001, 0.0004, 0.9036000000000001, 0.5772, -0.8105, 0.0092, -0.9264, 1.0812000000000002, -0.1427, 0.0095, -0.9277000000000001, 1.4167, -0.11220000000000001, 0.003, 0.0017000000000000001, 1.8465, 0.0017000000000000001... | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + -1.5 * (Z(10) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(10)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.5 * Z(5) + 1.5 * Z(4) + -1.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7... | 6 | 11 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["00001110000"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.5481103524397535) q[0];
rz(-3.103331799771918) q[0];
rx(1.560093255132442) q[1];
rz(3.1310534440691393) q[1];
rx(-1.619022593658862) q[2];
rz(-2.672828630801667) q[2];
rx(-2.7656637140768288) q[3];
rz(-3.0074535280519985) q[3];
rx(-1.9190737033754e-05) q[4];
rz(-2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IIZZIIIIIII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"ZIIIIIIIZII",
"IIIIIIIZZII",
"ZIIIIIIZIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIZIIIIIIII",
"IIIZIIIIIII",
"IZIIIIIIIII",
"IIIIIIIIZ... | [
-1,
-2,
-2,
-2,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
-1.5,
1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.930405 | [
1.5481103524397537,
1.6090571806127716,
1.5600932551324418,
1.560257117274243,
-1.619022593658862,
2.039560349583023,
-2.7656637140768288,
1.7049354523326916,
-0.000019190737033754,
1.9340141348648183,
-0.004259667670823433,
2.138417289127366,
2.580235801148031,
2.9501187589762066,
1.406... | {
"n_parameters": 47,
"n_qubits": 11,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 500 |
2fde01ebb7d3cd1daf98d95b5f19909d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 5}, {"weight": 16, "source": 0, "target": 3}, {"weight": 18, "source": 1, "target": 3}, {... | {"states": [119, 118], "expectation_value": -22.560455398798975, "params": [[-0.0233, -0.023100000000000002, -0.0099, 0.012], [0.0477, 0.058100000000000006, 0.0502, 0.037000000000000005]], "bitstrings": ["10001000", "10001001"], "total_optimization_steps": 10, "probabilities": [0.014720617796641909, 0.01913730895502777... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 20.0 * Z(1) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-70.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 147.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.07427298662465327) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.07427298662465327) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.07427298662465327) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.07427298662465327) q[3];
cx q[1], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZZIII",
"IIZIIZII",
"IIZZIIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"ZIIIIZII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
20,
5,
14.5,
17,
9,
11,
10.5,
4.5
] | 0.970934 | [
0.07427298662465327,
-1.4746527526723987,
0.5195060594398412,
-0.9525594040303011,
-1.4597959388112045,
0.3211671694017895,
-1.6745883128150552,
-0.9711864288713873,
0.6027278372357929,
0.2385736843446129,
-0.03375219622682421,
-0.3875539840557747,
0.9499103781916123,
-0.5066415936816603,
... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -70.5,
"target_ratio": 0.97,
"target_value": -68.385
} | 45 |
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": -12.00674739127697, "params": [[[-0.0073, 0.276], [0.0048000000000000004, 0.0011], [0.005200000000000001, 0.0026000000000000003], [0.003, 0.0026000000000000003], [-0.004200000000000001, -0.0027], [0.0054, 0.0025], [0.0014, 0.0022], [0.007, -0.0021000000000000003], [-0.00120... | -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 | 4 | {"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 |
96aa688a41503b0eea4bda42198f6281 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [21, 53], "expectation_value": -2.5662126852785416, "params": [0.7827000000000001, 0.2147, 0.0908, 0.5054000000000001, 0.7884, 0.1721, 0.8001, 0.027800000000000002, 0.804, 0.4005, 0.8046000000000001, 0.48150000000000004, -0.0089, 0.45220000000000005, 0.8012, 0.2364, 0.7899, 0.0015, 0.09480000000000001, 0.005... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -1.5 * Z(6) + 0.0 * Z(3) + -0.5 * Z(7) + -0.5 * Z(4) + 0.0 * Z(5) | 3 | 8 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["11000110", "01100110", "11001010", "01101010"], "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(0.1309828985838556) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.1309828985838556) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1309828985838556) q[2];
cx q[0], q[2];
rz(-0.1539228319124235) q[0];
rx(-0.11835153931238239) q[0];
h q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IZIIIIIZ",
"IZIIIZII",
"IIIIZIZI",
"ZIIIIIZI",
"ZZIIIIII",
"IZIZIIII",
"IIZZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IZIIIIII",
"IIIIZIII",
"ZIIIIIII",
"IIIZIIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-1.5,
0,
-0.5,
-0.5,
0
] | 0.971118 | [
0.1309828985838556,
0.594262456020538,
-0.1539228319124228,
0.12446024266432326,
-0.6149272815905993,
-0.08643543530531737,
0.3525135566268864,
0.9509792797491994,
-0.18849338277309924,
-0.7155564044841078,
-0.11835153931238239,
-0.10838480904433179,
0.9411007451254257,
-1.130705164161819,... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -83.5,
"target_ratio": 0.97,
"target_value": -80.995
} | 54 |
1c71ea734fc46f5185b7f04bf57e3d21 | 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": 7, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -29.29500037366231, "params": [-0.15130000000000002, 0.0585, -0.063, -0.0103, -0.0707, 0.2119, 0.0253, 0.2584, 0.40040000000000003, 0.0018000000000000002, 0.4052, 0.0014, 0.0034000000000000002, 0.3004, -0.0011, 0.3095, 0.006900000000000001, 0.2422, 0.0009000000000000001, 0.2528... | -1.75 * (Z(0) @ Z(4)) + -1.25 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(0)) + -0.75 * (Z(9) @ Z(4)) + -1.0 * (Z(9) @ Z(0)) + -1.25 * (Z(9) @ Z(6)) + -1.0 * (Z(1) @ Z(9)) + -1.25 * (Z(8) @ Z(1)) + -1.25 * (Z(3) @ Z(6)) + -1.75 * (Z(3) @ Z(9)) + -1.25 * (Z(3) @ Z(8)) + -1.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(6)) + -0.75 * (Z(5... | 6 | 11 | 2 | {"smallest_eigenvalues": [-35.5, -35.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -31.5, "smallest_bitstrings": ["11011110111", "11011111111"], "largest_eigenvalue": 32.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.06205004732374718) q[0];
rz(1.7900628145686337) q[0];
rx(-0.08368555854818305) q[1];
rz(1.8973122308422248) q[1];
rx(0.6347418533093561) q[2];
rz(1.5379787492199322) q[2];
rx(-0.0480635444445011) q[3];
rz(1.8523956605842713) q[3];
rx(-0.2310851149130193) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIZIZIIII",
"IIIIZIIIIIZ",
"IZIIIIZIIII",
"IZIIIIIIIIZ",
"IZIIZIIIIII",
"IZIIIIIIIZI",
"IIZIIIIIIZI",
"IIIIZIIZIII",
"IZIIIIIZIII",
"IIZIIIIZIII",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIZIIZIIIII",
"IIIIIZIZIII",
"ZIIIZIIIIII",
"ZIIIIZIIIII",
"IIIZIIZIIII",
"IZIZIIIII... | [
-1.75,
-1.25,
-1.5,
-0.75,
-1,
-1.25,
-1,
-1.25,
-1.25,
-1.75,
-1.25,
-1.25,
-1,
-0.75,
-0.25,
-1.25,
-2.25,
-1.75,
-1.5,
-0.25,
4.5,
-0.75,
-1.75,
-0.25,
0,
-1.75,
0.25,
-0.25,
-2,
0.5,
-2,
3.5,
3.75
] | 0.970155 | [
-0.06205004732374718,
0.21926648777373697,
-0.08368555854818305,
0.32651590404732767,
0.6347418533093561,
-0.03281757757496464,
-0.0480635444445011,
0.2815993337893733,
-0.2310851149130193,
0.10373176403200492,
-0.26150954110880353,
-0.01478309959551755,
0.06904286639293883,
0.372717944987... | {
"n_parameters": 97,
"n_qubits": 11,
"optimal_eigenvalue": -35.5,
"target_ratio": 0.97,
"target_value": -34.435
} | 10 |
4ff6cd3ae35a7505dd00eb5f37bcfa52 | 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": 4}, {"source": 2, "target": 5}, ... | {"states": [82, 90], "expectation_value": -2.749672568555554, "params": [[0.2801, 1.0979, -0.0028, 1.0986, 0.9284, -0.0482, 1.0216, 0.3134], [0.5459, 1.0884, -0.003, 0.47400000000000003, 0.2901, 0.0151, 0.9923000000000001, 0.43870000000000003], [0.139, 0.9014000000000001, -0.0027, 1.1049, 1.0987, 0.0165, 1.0666, 0.0069... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(6) @ Z(0)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(4) @ Z(6)) + -0.125 * (Z(4) @ Z(0) @ Z(3)) + -0.125 * (Z(6) @ Z(0) @ Z(3)) + -0.125 * (Z(4) @ Z(6) @ Z(0)) + -0.125 * (Z(4)... | 10 | 8 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.375, "smallest_bitstrings": ["01100110", "10101001", "01101001", "01101010", "10100101", "10100110"], "largest_eigenvalue": 6.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.09219022397749128) q[0];
cx q[1], q[0];
rz(-1.2871422316693653) q[0];
rx(0.10379619859919222) q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.09219022397749128) q[4];
cx q[1], q[4];
cx q[1], q[2];
rz(0.09219022397749128) q[2];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIZZIIII",
"IIIIZIIZ",
"IIIZIIIZ",
"IZIIIIIZ",
"IIIZZIII",
"IZIIZIII",
"IZIZIIII",
"IIIZZIIZ",
"IZIIZIIZ",
"IZIZIIIZ",
"IZIZZIII",
"IZIZZIIZ",
"IIZIIIZI",
"ZIIIIIZI",
"ZIZIIIII",
"ZIZIIIZI",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZII... | [
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.125,
-0.25,
-1,
-0.125,
-0.125,
-0.25,
-0.125,
-0.25
] | 0.979572 | [
0.09219022397749128,
0.8982429000207126,
-1.2871422316693646,
0.24599877936251585,
-0.9798884543189016,
0.6694199466030656,
0.8683968766675187,
-0.3547308698519625,
0.9369223338993231,
0.10379619859919209,
-0.08770470281201148,
0.5841101200094906,
-0.6227792457430795,
1.1403942607354456,
... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 37 |
-886717712420299134 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 5], [0, 4], [4, 6], [1, 3], [5, 7], [2, 7], [0, 5], [6, 7], [4, 7], [1, 6], [1, 5], [0, 3], [1, 2], [0, 6], [5, 6]]} | {"states": [62, 193], "expectation_value": -0.1884959348038473, "params": [[0.0771], [-0.08460000000000001]], "bitstrings": ["11000001", "00111110"], "total_optimization_steps": 10, "probabilities": [0.004856336580393276, 0.004856336580393276], "optimization_time": 0.6896066665649414} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["00111110", "11000001"], "largest_eigenvalue": 7.5} | 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];
cx q[5], q[3];
rz(0.49740484241391913) q[3];
cx q[5], q[3];
cx q[5], q[0];
rz(0.49740484241391913) q[0];
cx q[5], q[0];
cx q[3], q[0];
rz(0.49740484241391913) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(0.49740484241391913) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[3];
rz(x0) q[3];
cx q[5], q[3];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0]... | null | {"circuits": [], "gradients": []} | [
"IIZIZIII",
"IIZIIIIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IZZIIIII",
"IZIIIIIZ",
"IZIZIIII",
"IIZIIIZI",
"IIIIZIZI",
"IZIIIIZI",
"ZIZIIIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIZZI",
"ZIIIIZII",
"IIZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIIIZI",
"ZIIIIIII",
"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,
0,
0,
0,
0,
0,
0,
0
] | 0.414653 | [
0.49740484241391913,
1.0368103010451505e-8,
-0.6517636367612358
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 95 |
fbcecd05a1850dfc85aa20c299edabcb | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 7}, {"weight": 20, "source": 1, "target": 5}, {"weight":... | {"states": [970, 458], "expectation_value": -92.71486768317969, "params": [0.4893, -0.0204, 0.4938, -0.028300000000000002, 0.46280000000000004, -0.027700000000000002, 0.44220000000000004, 0.0123, 0.4687, -0.0182, 0.4551, 0.0219, 0.42510000000000003, -0.0666, 0.3904, -0.045700000000000005, -0.23550000000000001, -0.0872,... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(6) @ Z(2)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(3)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(6)) + 5.5 * (Z(9) @ Z(8)) + 13.5 * Z(1) ... | 6 | 10 | 3 | {"smallest_eigenvalues": [-98.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "smallest_bitstrings": ["1000110101"], "largest_eigenvalue": 186.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.674675270889735) q[0];
rz(1.4328000095487479) q[0];
rx(1.1353780312922952) q[1];
rz(1.6277074297909984) q[1];
rx(0.384511280448143) q[2];
rz(1.3576634967557277) q[2];
rx(-0.028042270282080648) q[3];
rz(1.5846245566779622) q[3];
rx(0.0573703470683285) q[4];
rz(1.84... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIZIIZII",
"IIIZIIIZII",
"IIIZZIIIII",
"IIZIIIIIZI",
"IIZIIIZIII",
"IZIZIIIIII",
"IZZIIIIIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIZIIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
13.5,
8.5,
17,
21,
1.5,
16.5,
7,
11,
5,
-8.5
] | 0.973112 | [
0.6746752708897349,
-0.1379963172461484,
1.135378031292295,
0.05691110299610223,
0.384511280448143,
-0.21313283003916905,
-0.028042270282080645,
0.013828229883064258,
0.057370347068328505,
0.2767602591256788,
-0.14242488635766964,
0.1379757805001052,
0.11569467427909641,
-0.537863776742910... | {
"n_parameters": 145,
"n_qubits": 10,
"optimal_eigenvalue": -98.5,
"target_ratio": 0.97,
"target_value": -95.545
} | 204 |
-1752709411569031825 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 10, 2, 6], [0, 2, 10], [1, 2], [3, 5], [3, 4], [4, 7], [9, 4], [11, 4]]} | {"states": [2746, 2234], "expectation_value": -2.7880353276523104, "params": [0.9258000000000001, 0.9104000000000001, 0.18530000000000002, 0.1885, 0.7621, 0.7687, 0.23020000000000002, 0.2275, 1.4020000000000001, 1.3943, 0.2204, 0.22390000000000002, 1.3488, 1.3529, 1.3531, 1.3613, 1.1820000000000002, 1.1406, 0.2346, 0.2... | 0.08333333333333333 * (Z(10) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(10)) + 0.08333333333333333 * (Z(8) @ Z(2)) + 0.08333333333333333 * (Z(8) @ Z(10)) + 0.08333333333333333 * (Z(8) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * ... | 13 | 12 | 1 | {"smallest_eigenvalues": [-3.5833333333333335, -3.5833333333333335, -3.5833333333333335, -3.5833333333333335], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.583333333333333, "smallest_bitstrings": ["000010110000", "000111000101", "011101000101", "011000110000"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.881462356234291) q[0];
rz(0.3166607184186372) q[0];
ry(-0.054524581826036166) q[1];
ry(-0.5999911581178925) q[2];
ry(-0.1907257370820446) q[3];
ry(1.1549324445010216) q[4];
ry(-0.30151478351596556) q[5];
ry(1.9859350818512296) q[6];
ry(1.6610857270548) 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": []} | [
"IZIIIIIIIZII",
"IIIIIIIZIZII",
"IZIIIIIZIIII",
"IIIZIIIIIZII",
"IZIZIIIIIIII",
"IIIZIIIZIIII",
"IIIIIIIIIZIZ",
"IIIIIIIZIIIZ",
"IIIIIIIZIIZI",
"IIIIZIZIIIII",
"IIIIIZZIIIII",
"IIZIIZIIIIII",
"ZIIIIZIIIIII",
"IIIIIZIIZIII",
"IIIIIIIIIZII",
"IZIIIIIIIIII",
"IIIIIIIZIIII",
"IIIZIIIII... | [
0.08333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.29166666666666663,
0.125,
0.29166666666666663,
0.125,
0.16666666666666666,
0,
0,
0,
0,
... | 0.975218 | [
1.881462356234291,
-0.054524581826036166,
-0.5999911581178925,
-0.1907257370820446,
1.1549324445010216,
-0.30151478351596556,
1.9859350818512296,
1.6610857270548,
1.7833490693034295,
-0.12938648627087157,
0.8414388077350419,
0.1484163649539872,
0.6333214368372744,
-0.3711104349523382,
0.... | {
"n_parameters": 48,
"n_qubits": 12,
"optimal_eigenvalue": -3.5833333333333335,
"target_ratio": 0.97,
"target_value": -3.4758333333333336
} | 33 |
8857517036714664554 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 4, 5, 8, 10], [0, 1, 4, 6, 8, 10, 11], [0, 1, 2, 3, 7, 8, 11], [0, 9, 10, 2], [1, 4, 5, 6, 8, 10], [1, 3, 4, 5, 7, 10, 11], [1, 2, 3, 4, 6], [1, 2, 4, 8, 11], [9, 4, 1, 7], [2, 3, 4, 8, 10], [11, 5, 6, 7], [8, 9, 4, 7], [0, 4, 5, 7, 9, 11], [1, 5, 6, ... | {"states": [575, 1599], "expectation_value": -3.685694472990779, "params": [0.38430000000000003, -0.7602, 0.3803, 0.0064, 0.8530000000000001, -0.4284, 0.8082, 0.0067, 1.5824, -0.0016, 1.564, 0.007200000000000001, 0.4086, -0.8149000000000001, 0.40090000000000003, 0.0097, 0.393, -0.8152, 0.39390000000000003, 0.0019, 0.38... | 0.23333333333333334 * (Z(2) @ Z(4)) + 0.1738095238095238 * (Z(5) @ Z(4)) + 0.08333333333333334 * (Z(5) @ Z(2)) + 0.29047619047619044 * (Z(8) @ Z(4)) + 0.1738095238095238 * (Z(8) @ Z(2)) + 0.08333333333333334 * (Z(8) @ Z(5)) + 0.2142857142857143 * (Z(10) @ Z(4)) + 0.21666666666666667 * (Z(10) @ Z(2)) + 0.273809523809523... | 7 | 12 | 1 | {"smallest_eigenvalues": [-4.033333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.999999999999999, "smallest_bitstrings": ["100111000000"], "largest_eigenvalue": 19.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.2583194090113492) q[0];
rz(-1.2262014275324837) q[0];
rx(1.3487108027865262) q[1];
rz(-0.43235046182483694) q[1];
cx q[1], q[0];
rz(0.3667140583272795) q[0];
cx q[1], q[0];
rx(-0.032087970130307605) q[0];
rz(-0.27132827748743693) q[0];
rx(1.3322216646338012) 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": []} | [
"IIIIIIIZIZII",
"IIIIIIZZIIII",
"IIIIIIZIIZII",
"IIIZIIIZIIII",
"IIIZIIIIIZII",
"IIIZIIZIIIII",
"IZIIIIIZIIII",
"IZIIIIIIIZII",
"IZIIIIZIIIII",
"IZIZIIIIIIII",
"IIIIIIIZIIIZ",
"IIIIIIIIIZIZ",
"IIIIIIZIIIIZ",
"IIIZIIIIIIIZ",
"IZIIIIIIIIIZ",
"IIIIIIIZIIZI",
"IIIIIIIIIZZI",
"IIIIIIZII... | [
0.23333333333333334,
0.1738095238095238,
0.08333333333333334,
0.29047619047619044,
0.1738095238095238,
0.08333333333333334,
0.2142857142857143,
0.21666666666666667,
0.2738095238095238,
0.18095238095238095,
0.05714285714285714,
0.15714285714285714,
0.2,
0.047619047619047616,
0.35714285714... | 0.971467 | [
0.2583194090113492,
-0.8594873692052043,
1.3487108027865262,
-0.43235046182483694,
1.4527765758409186,
-0.03812603534517866,
0.1391000143309958,
-0.8568157269057942,
0.05635889621797936,
-0.7497218173506957,
0.3963621791012022,
-0.47856778668062816,
1.6987348160140032,
-0.28108426975800926... | {
"n_parameters": 55,
"n_qubits": 12,
"optimal_eigenvalue": -4.033333333333333,
"target_ratio": 0.97,
"target_value": -3.912333333333333
} | 8 |
a73867065d086a9866d0f80c9446dd3e | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1889, 1633], "expectation_value": -75.14141930427596, "params": [1.1055000000000001, 0.0054, 1.1044, 0.1153, 0.796, 0.252, 0.49960000000000004, 0.33340000000000003, 1.109, 0.0036000000000000003, 1.1032, 0.0032, -0.0018000000000000002, 0.6911, 0.0016, -0.7239, -0.0017000000000000001, -0.5855, 0.5822, 0.6231,... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(2) @ Z(0)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(5) @ Z(3)) + 8.0 * (Z(6) @ Z(4)) + 8.0 * (Z(7) @ Z(5)) + 8.0 * (Z(8) @ Z(0)) + 8.0 * (Z(9) @ Z(1)) + 8.0 * (Z(10) @ Z(9)) + 17.5 * Z(1) + 14.0 * Z(0) + 4.5 * Z(2) + 15.0 * Z(4) + 0.5 * Z(3) + 13.5 * Z(... | 18 | 11 | 2 | {"smallest_eigenvalues": [-132.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -113.5, "smallest_bitstrings": ["00110011110"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.6350403476609798) q[0];
rz(0.028328618668198136) q[0];
rx(1.5813104944510226) q[1];
rz(-0.19254523313255914) q[1];
rx(-0.1329977132418672) q[2];
rz(0.5639271510252865) q[2];
rx(0.2524799255863069) q[3];
rz(-0.017609878617309817) q[3];
rx(1.4508183598634878) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIIIZIZIII",
"IIIIZIZIIII",
"IIIZIZIIIII",
"IIZIIIIIIIZ",
"IZIIIIIIIZI",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IIIZIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
17.5,
14,
4.5,
15,
0.5,
13.5,
-7,
-7.5,
-5.5,
0.5,
2
] | 0.971598 | [
1.6350403476609798,
0.14623731671338253,
1.5813104944510226,
-0.19254523313255914,
-0.1329977132418672,
0.5639271510252865,
0.2524799255863069,
-0.017609878617309817,
1.4508183598634878,
0.12977038125830853,
1.8349248686948254,
0.05470901326614795,
-0.08360962460633659,
0.6577766549161908,... | {
"n_parameters": 61,
"n_qubits": 11,
"optimal_eigenvalue": -132.5,
"target_ratio": 0.97,
"target_value": -128.525
} | 19 |
3749419434840595498 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 2, 4], [3, 5], [1, 4, 5], [1, 2, 5], [0, 1, 5], [2, 3], [0, 3, 4]]} | {"states": [52, 43], "expectation_value": -0.058723985074775116, "params": [[-0.06760000000000001], [0.0636]], "bitstrings": ["001011", "010100"], "total_optimization_steps": 10, "probabilities": [0.01661079939001244, 0.016778401577439303], "optimization_time": 0.6859138011932373} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5833333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9166666666666665, "smallest_bitstrings": ["010100"], "largest_eigenvalue": 6.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.21769490605955052) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.21769490605955052) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.08249700724079992) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.21769490605955052) q[4];
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;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.25,
0.25,
0.08333333333333333,
0.25,
0.25,
0.08333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.6250000000000001,
0.45833333333333326,
0.29166666666666663,
0.45833333333333337,
0.166666666... | 0.567563 | [
-0.21769490605955052,
-0.08249700724079992,
0.17835303861152552,
-0.7954788152708488,
0.2232225961335352,
-1.3397020504685597,
-0.5309499592692343,
0.9508193773183887
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -2.5833333333333335,
"target_ratio": 0.97,
"target_value": -2.5058333333333334
} | 185 |
b1f2c55039893ab73161f05bba05e3af | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [933, 421], "expectation_value": -94.34299238265264, "params": [[[0.7732, 0.0597], [0.3267, 0.07010000000000001], [0.7968000000000001, 0.1734], [0.7904, 0.1693], [0.0398, 0.09230000000000001], [0.7959, 0.0235], [-0.025400000000000002, 0.0155], [-0.13090000000000002, -0.0128], [0.7795000000000001, 0.3225], [-... | 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(6) @ Z(3)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(9) @ Z(5)) + 6.5 * (Z(10) @ Z(1)) + 6.5 * (Z(10) @ Z(8)) + 6.5 * (Z(10) @ Z(9)) + 13.0 * Z(2) + 16.0 * Z(1) + 16.5 * Z(3) + -5.5 * Z(4)... | 15 | 11 | 4 | {"smallest_eigenvalues": [-106.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.5, "smallest_bitstrings": ["11001011010"], "largest_eigenvalue": 164.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.725508538597425) q[0];
ry(-0.3128276498290842) q[1];
ry(0.7542984384550329) q[2];
ry(0.5318318518265397) q[3];
ry(0.21322159831611753) q[4];
ry(1.0920271103715304) q[5];
ry(-0.1373648071629982) q[6];
ry(-0.17376399698853626) q[7];
ry(1.0135787557148146) q[8];
ry(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIIZZII",
"IIIIIIIZIZI",
"IIIIIIZIZII",
"IIIIZIIZIII",
"IIIIZZIIIII",
"IIZIIIIIIZI",
"IIZZIIIIIII",
"IZIIIZIIIII",
"ZIIIIIIIIZI",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIZIIIIII... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
13,
16,
16.5,
-5.5,
5,
5.5,
12,
-4.5,
5,
14,
-9.5
] | 0.970848 | [
0.725508538597425,
-0.3128276498290842,
0.7542984384550329,
0.5318318518265397,
0.21322159831611753,
1.0920271103715304,
-0.1373648071629982,
-0.17376399698853626,
1.0135787557148146,
-0.3568364087959485,
-0.21985714133942474,
0.07625057760968953,
0.030116277076842616,
-0.0411115101247478,... | {
"n_parameters": 85,
"n_qubits": 11,
"optimal_eigenvalue": -106.5,
"target_ratio": 0.97,
"target_value": -103.30499999999999
} | 57 |
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": -12.613250270695561, "params": [[0.026500000000000003, 0.0028, 0.0281], [-0.034, -0.0261, -0.046]], "bitstrings": ["10000001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.0083018228157067, 0.01058976117492628], "optimization_time": 7.451644420623779} | 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 | 3 | {"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] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 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 |
5456342727672526107 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 4, 6, 7], [1, 2, 3, 6, 7], [1, 5]]} | {"states": [182, 62], "expectation_value": -0.013308659025460334, "params": [[-0.059300000000000005], [0.07200000000000001]], "bitstrings": ["01001001", "11000001"], "total_optimization_steps": 10, "probabilities": [0.004012395995889122, 0.004012395995889123], "optimization_time": 2.440279722213745} | 0.05 * (Z(0) @ Z(2)) + 0.05 * (Z(4) @ Z(2)) + 0.05 * (Z(4) @ Z(0)) + 0.1 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(4)) + 0.1 * (Z(7) @ Z(2)) + 0.05 * (Z(7) @ Z(0)) + 0.05 * (Z(7) @ Z(4)) + 0.1 * (Z(7) @ Z(6)) + 0.05 * (Z(1) @ Z(2)) + 0.05 * (Z(1) @ Z(6)) + 0.05 * (Z(1) @ Z(7)) + 0.05 * (Z(3) @ Z(2)) + 0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
ry(0.8821301753411058) q[2];
h q[3];
ry(-0.13435131238079112) q[3];
h q[4];
h q[5];
ry(-0.454101377641599) q[5];
cx q[1], q[5];
ry(0.454101377641599) q[5];
cx q[1], q[5];
ry(1.308558906900631) q[1];
cx q[2], q[1];
ry(-0.11722361329512324) q[1];
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;
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[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(x0) q[4];
cx q[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIZIZII",
"IIIZIIIZ",
"IZIIIZII",
"IZIIIIIZ",
"IZIZIIII",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIZZI",
"IZIIIIZI",
"ZIIIIIZI",
"IIIIZZII",
"IZIIZIII",
"ZIIIZIII",
"IIIIZIZI",
"IIZIIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"ZIIIIII... | [
0.05,
0.05,
0.05,
0.1,
0.05,
0.05,
0.1,
0.05,
0.05,
0.1,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.5,
0.2,
0.1,
0.1,
0.2,
0.2,
0.09999999999999998,
0.1,
0
] | 0.971708 | [
-0.908202755283198,
1.1913352936055075,
-0.8104383148105451,
0.8821301753411058,
0.23444722659024647,
-0.10774965795148661,
0.6238827988320025,
0.6521491247914535,
0.1697104363615397,
0.4324658940662753,
-0.24166017296348363,
0.4681397034993865,
-0.26870262476158224,
-0.400097868069685,
... | {
"n_parameters": 59,
"n_qubits": 8,
"optimal_eigenvalue": -0.8999999999999999,
"target_ratio": 0.97,
"target_value": -0.8729999999999999
} | 27 |
4eebe9a8a97a840077f78c3a170e65f1 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3... | {"states": [64, 63], "expectation_value": -0.1992721902815354, "params": [[-0.0717], [0.0711]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.009580976719265673, 0.00980958106354193], "optimization_time": 2.1233630180358887} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.2761211352183031) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.13717878779095488) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(-0.2761211352183031) q[3];
cx q[1], q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(0.13808832036080526) q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IZIIIIZ",
"IIIIZZI",
"IZIIZII",
"IIIZIZI",
"IZIZIII",
"IIIZZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZZIIIII",
"ZIIIZII",
"IIZIIZI",
"IZZIIII",
"IIZIZII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IIZIIII"
] | [
-0.5,
-0.25,
-0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-0.5,
1,
-0.5,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
0,
-0.25,
0.75,
-0.5,
0,
-0.5,
0.5
] | 0.959466 | [
-0.2761211352183031,
0.13808832036080526,
0.13717878779095488,
-0.2208905765275829,
-0.6091682224936915,
0.12825958314828695,
-0.6660683162981736,
1.4990730486084969,
-0.35178542503829574,
0.3184564914299048,
0.38589115212704433,
-0.5285511882352306,
-0.4855828621421047,
-0.654983086342713... | {
"n_parameters": 29,
"n_qubits": 7,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 500 |
3531386beba6b0774804490460b57cef | 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": 4, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "s... | {"states": [0, 1], "expectation_value": -15.686425497615685, "params": [0.0033, 0.0037, 0.0025, 0.0002, 0.0024000000000000002, 0.008400000000000001, 0.0027, 0.0022, 0.0023, 0.0009000000000000001, 0.0024000000000000002, 0.001, 0.0025, 0.0007, 0.0023, 0.0086, 1.6019, 0.0056, 0.0077, 0.0046, 0.0015, 0.002, 0.0043, 0.0053,... | -1.0 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(5)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.22395844909424942) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-0.4594487259099615) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.22395844909424942) q[3];
cx q[0], q[3];
h q[4];
cx q[0], q[4];
rz(-0.5726501004324798) 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": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IIZZIIIII",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIZIIZI",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IZIIIIZII",
"IZIIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"... | [
-1,
-0.5,
-1,
-0.25,
-0.5,
-0.25,
-1,
-0.75,
-1.75,
-0.5,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
4,
-1,
-0.75,
-1.5,
-0.5,
-0.25,
1,
-0.25,
-0.5,
-2,
-0.25,
3,
-0.25
] | 0.482113 | [
-0.22395844909424942,
-0.4594487259099615,
-0.5726501004324798,
-0.24342401502853306,
-0.579388992496363,
0.231586207665915,
-0.483314810268151,
-0.47682133312067565,
-1.4192722674742317,
1.471494663072129,
-1.2139952039638644
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 249 |
cf9a1540b011355d554ff1ed574e9153 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 15, "source": 0, "target": 5}, {"weight": 13, "source": 1, "target": 5}, {... | {"states": [124, 118], "expectation_value": -9.677339608154004, "params": [[0.0468], [-0.0671]], "bitstrings": ["10000011", "10001001"], "total_optimization_steps": 10, "probabilities": [0.007026417599100438, 0.007996821299414715], "optimization_time": 2.6088271141052246} | 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(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 19.5 * Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 151.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027904492225509954) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.027904492225509954) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.027904492225509954) q[2];
cx q[1], q[2];
rz(1.342829921786847) q[1];
rx(1.4533457... | 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": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIIZI",
"IIZZIIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
19.5,
5.5,
15.5,
10.5,
6.5,
16,
13,
9
] | 0.970395 | [
0.027904492225509954,
1.3428299217868471,
-1.3973477579863305,
1.1084896251587875,
-1.2207028245392655,
1.4533457571386144,
-0.40356853974988083,
1.2087457512520743,
0.5067522003052877,
0.6097643117392808,
0.41447285258051847
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 47 |
2059722323477022697 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 4], [1, 2], [2, 4, 5], [1, 3, 5], [0, 2], [3, 4]]} | {"states": [13, 11], "expectation_value": -1.8409101476405458, "params": null, "bitstrings": ["110010", "110100"], "total_optimization_steps": 39, "probabilities": [0.03938410396833827, 0.8105329635613088], "optimization_time": 35.86988949775696} | 0.5 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9999999999999996, "smallest_bitstrings": ["110100"], "largest_eigenvalue": 3.999999999999999} | 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(0.8913631124619755) q[0];
cx q[4], q[0];
cx q[4], q[2];
rz(0.02994382153530613) q[2];
cx q[4], q[2];
cx q[0], q[2];
rz(0.8913631124619755) q[2];
cx q[0], q[2];
rz(-0.026884509607334905) q[0];
rx(-0.82251467924558... | 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(1.2292) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IZIIIZ",
"IZIZII",
"IIIZIZ",
"IIIZZI",
"ZZIIII",
"ZIIZII",
"ZIIIZI",
"IZZIII",
"IIZIZI",
"ZIZIII",
"IZIIII",
"IIIIIZ",
"IIIZII",
"IIIIZI",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666674,
0,
0.16666666666666674,
0.16666666666666663,
0.3333333333333333,
0.16666666666666663
] | 0.672075 | [
0.8913631124619755,
0.02994382153530613,
-0.02688450960733438,
1.558222572243899,
-0.8225146792455859
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -2.0000000000000004,
"target_ratio": 0.97,
"target_value": -1.9400000000000004
} | 139 |
ad5e16c647b3e8afeeb51cea63283747 | 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": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [635, 627], "expectation_value": -2.889022797847171, "params": [1.4841, 0.5880000000000001, -0.0002, 1.0099, -0.0041, -0.7852, 1.5043, -0.0032, 1.4951, 0.0024000000000000002, 1.4825000000000002, 0.7716000000000001, 1.0802, 1.0658, 0.0058000000000000005, 0.9399000000000001, 1.4877, 0.1535, 1.3651, 0.4199, 1.4... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + 0.0625 * (Z(5) @ Z(0)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(8) @ Z(0)) + 0.0625 * (Z(9) @ Z(0)) + 0.0625 * (Z(5) @ Z(6)) + 0.0625 * (Z(8) @ Z(5)) + 0.06... | 18 | 10 | 2 | {"smallest_eigenvalues": [-3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.3125, "smallest_bitstrings": ["0110101000", "0110001100", "0110000110", "0110000101", "0110010100", "0100110100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.5498208309717705) q[0];
rz(-pi) q[1];
ry(-0.027905039045476778) q[1];
h q[2];
ry(1.4286739804212187) q[2];
h q[3];
h q[4];
ry(-1.5712458828569957) q[4];
h q[5];
cx q[5], q[0];
ry(0.5498208309717705) q[0];
cx q[5], q[0];
ry(-0.6191263193766597) q[0];
ry(1.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIZZZII",
"IIIIZIIZII",
"IIZZIIIIII",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IZIIIIIIIZ",
"ZIIIIIIIIZ",
"IIIZZIIIII",
"IZIIZIIIII",
"ZIIIZIIIII",
"IZIZIIIIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIZZIIIIZ",
"IZIIZIIIIZ",
"ZIIIZIIIIZ"... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0... | 0.994261 | [
-1.5712458828569957,
-1.4972505690550146,
1.4286739804212187,
-1.0053995826514508,
-1.099641661943541,
0.690142419476929,
-0.4471038081227416,
0.6668894682407048,
-0.3440450225078362,
0.09470115397418863,
0.33432841627262677,
-0.28297716612437795,
-0.16457309048695368,
0.2152753034606018,
... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
2c69f66e23c234e31f1d5ec8aa443338 | connected_components | 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": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 5, "target": 6}]} | {"states": [63, 62], "expectation_value": -0.1837571464365608, "params": [[0.060200000000000004], [-0.0603]], "bitstrings": ["000000", "000001"], "total_optimization_steps": 10, "probabilities": [0.017678502616130812, 0.017936064053521314], "optimization_time": 1.4218358993530273} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + -0.5 * Z(5) | 5 | 6 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["000001"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(0.04711975617208431) q[0];
ry(-0.1325599692463841) q[1];
ry(0.05687606388497443) q[2];
ry(0.004888508310247848) q[3];
ry(2.426655310760118) q[4];
ry(0.03493424051288598) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x1) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(x2) q[4]... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZZII",
"IZZIII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IIIZII",
"IZIIII",
"ZIIIII"
] | [
-1,
-1.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.972855 | [
0.04711975617208431,
-0.1325599692463841,
0.05687606388497443,
0.004888508310247848,
2.426655310760118,
0.03493424051288598,
3.206370410814248,
0.05299809981433146,
-0.05722795343488331,
-0.15391392497352788,
-0.11681779862718587
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 13 |
294512af72c0fecd4cefe8fd6a356b5c | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 1, "source": 0, "t... | {"states": [47, 109], "expectation_value": -35.43673122360108, "params": null, "bitstrings": ["11010000", "10010010"], "total_optimization_steps": 100, "probabilities": [0.11976868504268683, 0.1765281471536214], "optimization_time": 160.7501518726349} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 5.0 * Z(0) + 11.5 * Z(2) + 13.0 * Z(1) + -3.0 * Z(3) + 2.0 * Z(4) + 14.0 * Z(5) + 9.5 * Z(6) + 12.5 ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-59.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 111.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(0.07402068680094753) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.07402068680094753) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(0.07402068680094753) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[3], q[4];
rz(0.07402068680094753) q[4];
cx q[... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(22.4081) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIIZZIII",
"IIZIIIIZ",
"IZIIIIZI",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
5,
11.5,
13,
-3,
2,
14,
9.5,
12.5
] | 0.970283 | [
0.07402068680094753,
1.5073614578039751,
-1.2666992684437206,
-1.7659760581336494,
1.1918964393531186,
-0.7174241288636667,
-1.2945818069295907,
0.640345842373991,
-2.0164039672798895,
0.906754320820238,
1.1291606588504102,
-0.0963225932464942,
-0.514025711468184,
-0.3896493296815006,
-0... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -59.5,
"target_ratio": 0.97,
"target_value": -57.714999999999996
} | 81 |
db7bdfb6ee94a36848a9fd983ceba634 | 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": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 6, "source": 1, ... | {"states": [67, 65], "expectation_value": -1.7690894298279929, "params": [[0.0721, 0.0516], [-0.0699, -0.0476]], "bitstrings": ["10111100", "10111110"], "total_optimization_steps": 10, "probabilities": [0.009607303394112797, 0.010185985031351557], "optimization_time": 3.0063202381134033} | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.5 * (Z(1) @ Z(7)) + -1.75 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + 1.25 * Z(7) + 1.5 * Z(1) + 0.0 * Z(4) + -1.... | 1 | 8 | 2 | {"smallest_eigenvalues": [-17.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.75, "smallest_bitstrings": ["10111110"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.14039623119325925) q[0];
rz(0.5275495493461682) q[0];
rx(1.320633293684479) q[1];
rz(-0.37084208291648135) q[1];
rx(0.10075084016578803) q[2];
rz(0.0887312811211598) q[2];
rx(0.07445349494960915) q[3];
rz(0.4716776547025745) q[3];
rx(0.0012203990205976458) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIZIZII",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-1.5,
-1,
-1,
2.75,
-1.5,
-1.75,
-0.75,
-1.25,
-0.5,
-0.25,
0,
-0.25,
-0.75,
1.25,
1.5,
0,
-1.5,
-0.25
] | 0.971311 | [
0.14039623119325925,
0.5697069044918339,
1.320633293684479,
0.002656640722524764,
0.10075084016578803,
0.2745350143407175,
0.07445349494960915,
0.21127976559546266,
0.0012203990205976456,
-0.2957591951349129,
0.8364192648053017,
0.179559348742313,
0.6253163906217188,
1.5230369812904816,
... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -17.75,
"target_ratio": 0.97,
"target_value": -17.2175
} | 14 |
b8aaab24da0004c3e40ded7e0da30763 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [5, 1], "expectation_value": -9.49998088741361, "params": null, "bitstrings": ["1111010", "1111110"], "total_optimization_steps": 18, "probabilities": [1.2623551093771558e-05, 0.9999867275426021], "optimization_time": 16.576311826705933} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(3)) + 2.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.5 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) + -0.25 * Z(5) + 2.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-0.04755975372679777) q[0];
rz(-pi) q[1];
ry(-0.16357168903548214) q[1];
rz(-pi) q[2];
ry(-0.16357168903548214) q[2];
h q[3];
ry(-1.6848675864644589) q[3];
ry(-0.05392656744408793) q[4];
rz(-pi) q[4];
ry(-0.08761228669430021) q[5];
rz(-pi) q[5];
h q[6];... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IZIIIIZ",
"IZIZIII",
"ZIIIIIZ",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.75,
2.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
2
] | 0.995678 | [
1.5124481082497874,
-1.6848675864644589,
-1.7984235144880873,
-1.5128877401597436,
-1.43889529306715,
-0.15594893256731784,
0.05940740011829414,
0.13302301188552904,
0.12811099731541742
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 1 |
f06cfa431b1d21951bd72bdc4807e338 | 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": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [19, 27], "expectation_value": -0.1129758617459638, "params": [[0.0653], [-0.0521]], "bitstrings": ["101100", "100100"], "total_optimization_steps": 10, "probabilities": [0.01668715364473863, 0.01712279461444103], "optimization_time": 1.4817335605621338} | 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(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(1) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100100"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.04358228463512977) q[0];
cx q[2], q[0];
rz(0.629790216378117) q[2];
rx(-0.6836283096730165) q[2];
h q[3];
cx q[0], q[3];
rz(-0.04358228463512977) q[3];
cx q[0], q[3];
h q[4];
cx q[0], q[4];
rz(-0.04358228463512977) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(x0) q[4]... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"IZIIIZ",
"IZZIII",
"ZIIIIZ",
"ZIZIII",
"IIZIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1.5,
-1.5,
-0.5,
-0.5,
0
] | 0.987514 | [
-0.04358228463512977,
0.6297902163781169,
-1.038896045838605,
0.8898531274270675,
-0.6836283096730164,
0.08270608385341727,
-0.4891641665369492,
0.3380455981667369,
-1.2087704809257387,
1.2365945368731672,
-0.5651441507024032,
-0.44988414168676605,
-0.273403240245268
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 23 |
d2afe27b0de0de0693309013bd4cb7f6 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 5}, {"weight": 15, "source": 1, "target": 4}, {"weight": 11, "source": 1, "target": 3}, {... | {"states": [159, 115], "expectation_value": -31.07311390791784, "params": null, "bitstrings": ["01100000", "10001100"], "total_optimization_steps": 100, "probabilities": [0.13685654008494053, 0.17358932876943156], "optimization_time": 151.3246681690216} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 5.5 * Z(0) + 9.5 * Z(2) + 15.5 * Z(3) + 1.... | 1 | 8 | 2 | {"smallest_eigenvalues": [-60.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.5, "smallest_bitstrings": ["10001100"], "largest_eigenvalue": 127.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.6603319576342586) q[0];
rz(-pi) q[1];
ry(-3.09132270976154) q[1];
h q[2];
ry(-1.59277342892783) q[2];
h q[3];
ry(10.929252278696099) q[3];
h q[4];
rz(-pi) q[5];
ry(-3.0980243226886683) q[5];
rz(-pi) q[6];
ry(-1.4685334302306399) q[6];
cx q[3], q[6];
ry(-0.2... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(8.8595) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIZII",
"IIZIIIZI",
"IIZIZIII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11,
5.5,
9.5,
15.5,
1,
11,
14,
12
] | 0.970121 | [
10.929252278696099,
-0.5854890024487437,
-15.870510362502078,
-2.371832064547635,
3.190282941504731,
0.5296199822347359,
-3.151836567617419,
33.118537899059916,
-1.59277342892783,
1.6603319576342586,
10.629557319388375,
3.048407594216927,
-37.408128681922456,
-0.017677031990097333,
-0.14... | {
"n_parameters": 61,
"n_qubits": 8,
"optimal_eigenvalue": -60.5,
"target_ratio": 0.97,
"target_value": -58.684999999999995
} | 63 |
1405943860251051176 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 6, 8, 9, 11], [3, 5, 6, 9, 11], [3, 7], [2, 11], [3, 4], [8, 10]]} | {"states": [1239, 3287], "expectation_value": -2.3512166627845232, "params": [[[1.5458, 0.0066], [3.1430000000000002, 0.0009000000000000001], [-0.0019, 0.0028], [3.1395, 0.009600000000000001], [0.0021000000000000003, 0.0081], [3.1395, 0.0057], [3.1444, 0.0097], [3.148, 0.0079], [3.1395, 0.004], [-0.0027, 0.006], [-0.00... | 0.03333333333333333 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(6) @ Z(1)) + 0.03333333333333333 * (Z(6) @ Z(0)) + 0.03333333333333333 * (Z(8) @ Z(1)) + 0.03333333333333333 * (Z(8) @ Z(0)) + 0.03333333333333333 * (Z(8) @ Z(6)) + 0.03333333333333333 * (Z(9) @ Z(1)) + 0.03333333333333333 * (Z(9) @ Z(0)) + 0.08333333333333... | 2 | 12 | 1 | {"smallest_eigenvalues": [-2.4000000000000017], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.400000000000001, "smallest_bitstrings": ["001100101000"], "largest_eigenvalue": 3.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(1.583856686572381) q[0];
rz(0.022346078660463883) q[0];
rx(3.2227355080887734) q[1];
rz(-0.03400139813470964) q[1];
rx(-0.012401766638164651) q[2];
rz(-0.1761181220219251) q[2];
rx(3.123043814776998) q[3];
rz(0.12947039182044456) q[3];
rx(-0.015257454618513073) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIZIIIIZI",
"IIIIIZIIIIIZ",
"IIIZIIIIIIZI",
"IIIZIIIIIIIZ",
"IIIZIZIIIIII",
"IIZIIIIIIIZI",
"IIZIIIIIIIIZ",
"IIZIIZIIIIII",
"IIZZIIIIIIII",
"ZIIIIIIIIIZI",
"ZIIIIIIIIIIZ",
"ZIIIIZIIIIII",
"ZIIZIIIIIIII",
"ZIZIIIIIIIII",
"IIIIIZIIZIII",
"IIZIIIIIZIII",
"ZIIIIIIIZ... | [
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.08333333333333334,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.08333333333333334,
0.033333333333333... | 0.973908 | [
1.583856686572381,
0.022346078660463883,
3.2227355080887734,
-0.03400139813470964,
-0.012401766638164651,
-0.1761181220219251,
3.123043814776998,
0.12947039182044456,
-0.015257454618513073,
-0.013873692513308635,
-0.022725640846831843,
3.027684638995744,
0.1228214638459051,
3.0236402028295... | {
"n_parameters": 22,
"n_qubits": 12,
"optimal_eigenvalue": -2.4000000000000017,
"target_ratio": 0.97,
"target_value": -2.3280000000000016
} | 1 |
da6f888553e0928bf84cb7c24eceee80 | 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": 5}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 3, "source": 2, ... | {"states": [0, 127], "expectation_value": -1.0634600061090915, "params": [[0.0451, 0.0629, 0.0747], [-0.0132, -0.0463, -0.0567]], "bitstrings": ["11111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.007260857666840448, 0.00753762770793977], "optimization_time": 8.463914155960083} | -0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(4)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(3)) + 1.0 * Z(5) + -0.25 * Z(0) + -1.75 * Z(... | 1 | 8 | 3 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["10000000", "11000000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.5177659963294788) q[0];
h q[1];
ry(-1.623404303532015) q[1];
h q[2];
ry(0.8202589649851039) q[2];
h q[3];
ry(0.7033685518814555) q[3];
h q[4];
ry(1.4889805032669121) q[4];
cx q[4], q[2];
ry(-0.8202589649851039) q[2];
cx q[4], q[2];
h q[5];
ry(0.84460063831... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIZIIIIZ",
"IIZIIIZI",
"IIIIIZZI",
"IIIZIZII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIZIIII",
"ZIIIZIII",
"IZZIIIII",
"IZIIIIZI",
"IZIZIIII",
"IZIIZIII",
"IIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IIIIZIII",
"IZIIIIII"
] | [
-0.25,
-0.75,
-0.5,
-0.75,
0.5,
-0.75,
-0.75,
-0.25,
-0.5,
-0.5,
-1,
-0.75,
1,
-0.25,
-1.75,
1,
1.5,
-1.25,
-0.5,
0.25
] | 0.981536 | [
-1.623404303532015,
1.4889805032669121,
1.6405179299702077,
1.6168070806158488,
1.6892012766269737,
-1.0355319926589577,
1.0456182257691826,
1.406737103762911,
-0.7251973209355899,
0.22124766737700627,
-0.30348133941167,
0.18132166678998246,
-0.02893660445447417,
-0.06715041824588869,
0.... | {
"n_parameters": 21,
"n_qubits": 8,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 1 |
69144809aea48cb46eae9c3950f24a15 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [0, 2], "expectation_value": -0.17075126560218848, "params": [[-0.0594, -0.0723], [0.0713, 0.0723]], "bitstrings": ["111", "101"], "total_optimization_steps": 10, "probabilities": [0.12886773875208354, 0.14886231467188094], "optimization_time": 0.7190690040588379} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + -1.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(2) | 1 | 3 | 2 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["101"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.12397642308111168) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.12397642308111168) q[0];
cx q[1], q[0];
rz(-1.0412824378997723) q[0];
rx(-0.6835570607299903) q[0];
rz(0.6551677416149957) q[1];
rx(-0.6835570607299903) q[1];
rz(-1.0... | 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;
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
rz(x1) q[0... | null | {"circuits": [], "gradients": []} | [
"ZZI",
"IZZ",
"IIZ",
"IZI",
"ZII"
] | [
0.5,
0.5,
-1,
-0.5,
-1
] | 0.983631 | [
0.12397642308111168,
-1.0412824378997723,
0.6551677416149958,
-0.6835570607299902,
0.023146836072959226,
-0.5048269617904716,
0.6814886991250588,
-0.7325852103426811,
0.006386053532258323,
-0.47655542685563346,
0.11597712833781966,
-0.2813397718212035
] | {
"n_parameters": 12,
"n_qubits": 3,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
5b15e5064f9604c57b5bf00bcebf2e14 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"s... | {"states": [0, 8176], "expectation_value": -32.617827763356686, "params": [[[0.0026000000000000003, 0.0031000000000000003], [0.0023, 0.0004], [0.0022, 0.0015], [-0.0027, 0.006500000000000001], [0.0025, 0.0004], [0.0026000000000000003, 0.0076], [0.0021000000000000003, 0.0066], [0.002, 0.0044], [1.5954000000000002, 0.000... | -2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + -2.5 * (Z(6) @ Z(0)) + -2.0 * (Z(7) @ Z(1)) + -2.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + -2.0 * (Z(8) @ Z(1)) + -2.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(7)) + 0.5 * (Z(9) @ Z(10)) + -2.0 * (Z(11) @ Z(10)) + 0.5 * (Z(11) @ Z(9)) + -2.0 * (Z(12) @ Z(10))... | 2 | 13 | 1 | {"smallest_eigenvalues": [-37.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -36.5, "smallest_bitstrings": ["0000000001111"], "largest_eigenvalue": 24.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(0.06397422676025756) q[0];
rz(-0.8728865216216978) q[0];
rx(0.14265932684256472) q[1];
rz(-0.15770558043232086) q[1];
rx(-0.05292375449311429) q[2];
rz(0.040524207651687794) q[2];
rx(-0.21693653008391744) q[3];
rz(-0.25195029089697296) q[3];
rx(0.04813713825082161) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIZIIIIZI",
"IIIIIIZIIIIIZ",
"IIIIIZIIIIIZI",
"IIIIIZIIIIIIZ",
"IIIIIZZIIIIII",
"IIIIZIIIIIIZI",
"IIIIZIIIIIIIZ",
"IIIIZIZIIIIII",
"IIIIZZIIIIIII",
"IIZZIIIIIIIII",
"IZZIIIIIIIIII",
"IZIZIIIIIIIII",
"ZIZIIIIIIIIII",
"ZIIZIIIIIIIII",
"ZZIIIIIIIIIII",
"IIIIIIIIIZZ... | [
-2.5,
0.5,
-2.5,
-2,
-2.5,
0.5,
-2,
-2.5,
0.5,
-2,
0.5,
-2,
0.5,
-2,
0.5,
-2,
-2,
1,
-2,
-2,
1,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-2,
-2,
-2,
0.5,
0.5,
0.5,
0.5
] | 0.973054 | [
0.06397422676025756,
-0.8728865216216978,
0.14265932684256472,
-0.15770558043232086,
-0.05292375449311429,
0.040524207651687794,
-0.21693653008391744,
-0.25195029089697296,
0.04813713825082161,
-0.4330355018333317,
-0.13956632640154348,
0.6340594834284424,
-0.21166439273509502,
-0.01142669... | {
"n_parameters": 22,
"n_qubits": 13,
"optimal_eigenvalue": -37.5,
"target_ratio": 0.97,
"target_value": -36.375
} | 18 |
-51701444481128926 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 7], [4, 7], [2, 5], [5, 6, 7], [0, 1, 6], [0, 2], [0, 5], [0, 3]]} | {"states": [115, 142], "expectation_value": -0.0023238192384158404, "params": [[-0.0182], [0.009000000000000001]], "bitstrings": ["10001100", "01110001"], "total_optimization_steps": 10, "probabilities": [0.003919031266886417, 0.003919031267127665], "optimization_time": 2.1576285362243652} | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(7)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.666666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.666666666666666, "smallest_bitstrings": ["01110001"], "largest_eigenvalue": 5.0} | 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[0];
rz(-0.6726620318822047) q[0];
cx q[7], q[0];
cx q[0], q[2];
rz(-0.6726620318822047) q[2];
cx q[0], q[2];
cx q[7], q[4];
rz(-0.6726620318822047) q[4];
cx q[7], q[4];
rz(0.17789698707603563) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(x0) q[0];
cx q[7], q[0];
cx q[7], q[4];
rz(x0) q[4];
cx q[7], q[4];
cx q[0], q... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIIZIZ",
"ZIZIIIII",
"IIZIIIIZ",
"IIZIIZII",
"ZZIIIIII",
"IZIIIIIZ",
"IZZIIIII",
"IIIIIIZZ",
"IZIIIIZI",
"IIIIZIIZ",
"ZIIIIIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"IIIIIIZI",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666674,
0.16666666666666696,
0,
0,
0.16666666666666674,
0.3333333333333333,
0.16666666666666666,
0
] | 0.515842 | [
-0.6726620318822047,
-0.1515731315085999,
0.1778969870760356,
-1.4261247747859607,
0.7367319471896152
] | {
"n_parameters": 5,
"n_qubits": 8,
"optimal_eigenvalue": -2.666666666666668,
"target_ratio": 0.97,
"target_value": -2.586666666666668
} | 147 |
eb601c8cc059fa719bb669b57cf56f46 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "target":... | {"states": [897, 961], "expectation_value": -4.212343422048067, "params": [[[1.7129, 0.0071], [1.6780000000000002, 0.006900000000000001], [1.7086000000000001, 0.0071], [1.624, 0.009600000000000001], [-0.0034000000000000002, 0.0098], [1.4673, 0.0083], [0.0655, 0.0088], [-0.0017000000000000001, 0.01], [1.5079, 0.00960000... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(6)) + -1.5 * Z(7) + 0.0 * Z(0) + -1.0 * ... | 1 | 10 | 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": ["0000111110", "0101101100", "0001111100", "0100101110", "0000110111", "0001110101"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(2.9907614598211687) q[0];
rz(-1.568443675563867) q[0];
rx(2.743516676551213) q[1];
rz(-1.4495739170517508) q[1];
rx(3.3726059419675347) q[2];
rz(-1.568443675563867) q[2];
rx(2.9779293481452855) q[3];
rz(0.4605060756008135) q[3];
rx(0.01070122805455681) q[4];
rz(1.31... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIIIZ",
"IIZIIIIIZI",
"IIIIIZIIZI",
"IIIIZIIIZI",
"IIIIZZIIII",
"IIZIIIIZII",
"IIIIIZZIII",
"IZIIIIZIII",
"IIZZIIIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"ZIIIIZIIII",
"ZIIZIIIIII",
"IIZIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIIIIIZII",
"IIIIIIZIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-2,
-1,
0,
-0.5,
0,
-1.5,
-0.5
] | 0.971559 | [
2.9907614598211687,
-1.568443675563867,
2.743516676551213,
-1.4495739170517508,
3.3726059419675347,
2.9779293481452855,
0.4605060756008135,
0.01070122805455681,
1.3103947968364955,
-0.40021140465478,
0.3153767144944677,
0.06623183901499036,
0.6666158820535837,
-0.03584605593212915,
0.060... | {
"n_parameters": 18,
"n_qubits": 10,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 29 |
49178776ac26264118c80ca0dee8c33c | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 7, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 7, "s... | {"states": [0, 1], "expectation_value": -19.045683423771234, "params": [0.0025, 0.5055000000000001, 0.0025, 0.5680000000000001, 0.002, 0.4146, 0.0026000000000000003, 0.5368, 0.0024000000000000002, 0.48260000000000003, 0.0025, 0.5798, 0.0025, 0.556, 0.0017000000000000001, 0.605, 0.7988000000000001, -0.003600000000000000... | -1.75 * (Z(0) @ Z(1)) + 2.0 * (Z(8) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.75 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(8)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(8)) + -2.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.75 * (Z(7) @ Z(1)) + -2.0 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z... | 4 | 9 | 2 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.005209796556052758) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.508260866961924) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(0.005209796556052758) q[3];
cx q[1], q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(-0.21190051229646908) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"ZIIIIIIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"ZIIIIZIII",
"IIIZIIIZI",
"ZIIZIIIII",
"IIIZIIZII",
"IIIZIZIII",
"IZIIIIIZI",
"IZIIIIZII",
"IZIIIZIII",
"IIIIZIZII",
"IZIIZIIII",
"IIZIIIZII",
"IIZIIZIII",
"IIZIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIZII",
"... | [
-1.75,
2,
-0.75,
-1.75,
-1,
-0.5,
-0.25,
-2.25,
-1,
-1.75,
-2,
-1,
-0.5,
-1,
-1.75,
-1.5,
-0.75,
3,
-0.25,
0.75,
-0.75,
0.75,
0,
-2.25,
-0.75,
-0.5
] | 0.842865 | [
0.005209796556052758,
2.270453380095507,
-0.508260866961924,
-0.06326024713277677,
-0.21190051229646908,
0.10461311018688012,
-0.5338613981254241,
-0.05361648050838588,
-0.46118159609524406,
-0.5519498879422366,
-1.2780043064135709,
-0.7661969612317444,
-1.6536062948954986,
-0.030636363917... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -20.5,
"target_ratio": 0.97,
"target_value": -19.884999999999998
} | 500 |
f82f40377b76a8640da93298d26960f8 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": ... | {"states": [0, 256], "expectation_value": -8.792053402032247, "params": [-0.0036000000000000003, 0.2701, 0.0014, 0.19540000000000002, 0.0014, 0.2429, 0.0017000000000000001, 0.2439, -0.0027, 0.1381, 0.0032, 0.192, 0.4051, -0.0035, 0.39990000000000003, -0.0033, -0.0017000000000000001, 0.20770000000000002, -0.0011, 0.0892... | -0.5 * (Z(0) @ Z(8)) + -0.5 * (Z(9) @ Z(8)) + -0.5 * (Z(9) @ Z(0)) + 1.25 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(8)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(5) @ Z(8)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(10) @ Z(8)) + -0.25 * (Z(10) @ Z(5)) + -0.25 * (Z(... | 6 | 12 | 2 | {"smallest_eigenvalues": [-9.75, -9.75, -9.75, -9.75, -9.75, -9.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -8.75, "smallest_bitstrings": ["111010111111", "111010111101", "100010001100", "110010101100", "111011111111", "110010001100"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.5515556077490392) q[0];
rz(1.8374810904936787) q[0];
rx(0.08740647993379806) q[1];
rz(2.184866891058136) q[1];
rx(0.086747414622514) q[2];
rz(1.8712074857795162) q[2];
rx(1.301651959384785) q[3];
rz(1.8001921034376256) q[3];
rx(-0.09395576358804522) q[4];
rz(2.05... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIZIIIIIIIZ",
"IIZZIIIIIIII",
"IIZIIIIIIIIZ",
"IIIIIIIIZIIZ",
"IIIZIIIZIIII",
"IIIIIIIZIIZI",
"IIIZZIIIIIII",
"IIIIZIIIZIII",
"IIIIZIIZIIII",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IZIZIIIIIIII",
"IZIIIIZIIIII",
"IIIIIIIIIZZI",
"IIIIZIIIIZII",
"IIIIIIZIIZII",
"IZIIIIIIIZII",
"IIIZIZIII... | [
-0.5,
-0.5,
-0.5,
1.25,
-1,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-1,
-0.25,
-0.5,
0.5,
-0.25,
-1,
0.5,
1,
0.25,
-0.5,
0.75,
0.5... | 0.975349 | [
-0.5515556077490393,
0.2666847636987818,
0.08740647993379806,
0.6140705642632394,
0.08674741462251398,
0.30041115898461934,
1.3016519593847853,
0.22939577664272853,
-0.09395576358804522,
0.48158780937704987,
0.4652431904829656,
-0.16976899521686653,
-0.1120323398030539,
0.33314705911207365... | {
"n_parameters": 55,
"n_qubits": 12,
"optimal_eigenvalue": -9.75,
"target_ratio": 0.97,
"target_value": -9.4575
} | 16 |
abebab5175d0d0d89bf916154d0e1360 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [44, 38], "expectation_value": -4.4999003248204605, "params": null, "bitstrings": ["010011", "011001"], "total_optimization_steps": 28, "probabilities": [1.7187519564590576e-05, 0.9999500716492443], "optimization_time": 25.50583267211914} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.5 * Z(0) + -2.0 * Z(5) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["011001"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-3.0276657592090853e-08) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-3.0276657592090853e-08) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[4];
rz(-3.0276657592090853e-08) q[4];
cx q[2], q[4];
rz(1.5707962011... | 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[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"ZIIZII",
"ZIIIIZ",
"ZIIIZI",
"ZIZIII",
"IIZIZI",
"IZIZII",
"ZZIIII",
"IZIIZI",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-2,
-1,
-0.5,
-1
] | 0.777778 | [
-3.0276657592090853e-8,
1.5707962011345744,
-1.5707963261737141,
1.5707962746941437,
1.570796338750851
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 149 |
8a5dc9be309c81780f6428266fc77bbc | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 1, "target": 2}]} | {"states": [374, 371], "expectation_value": -6.299442942899475, "params": null, "bitstrings": ["010001001", "010001100"], "total_optimization_steps": 88, "probabilities": [0.15143116822598657, 0.6686414346247994], "optimization_time": 201.91897702217102} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.25 * (Z(8) @ Z(3)) + 0.5 * (Z(8... | 1 | 9 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["100010001", "010001100", "100001010"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-2.322389483957614e-09) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-2.322389483957614e-09) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-2.322389483957614e-09) q[1];
cx q[0], q[1];
h q[3];
cx q[0], q[3];
rz(-2.322389483957614e-09) q[3];
c... | null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 2, "target": 1}]}} | {"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[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIZIIZII",
"IIIZIZIII",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIIIIIZII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIZIIIIII",
"IZIIIIZII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
1.5,
1,
1,
1.5,
1,
1.25,
1,
1.25,
1.5
] | 0.714286 | [
-2.322389483957614e-9,
4.1451823289962644e-8,
1.57079638027508,
-1.5711130946503415,
1.570796330588283,
-1.5707963417037913
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 230 |
3363fe3f89e5b1bd299664dbaa386b89 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [5974, 5982], "expectation_value": -3.536230128264832, "params": [[[0.9138000000000001, 0.0649], [0.165, 0.7218], [1.5825, -0.0023], [1.5853000000000002, 0.0029000000000000002], [1.5834000000000001, 0.0025], [0.002, 0.8378], [1.5830000000000002, -0.003], [0.3841, 0.5901000000000001], [1.5782, 0.0016], [0.840... | 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(... | 1 | 13 | 2 | {"smallest_eigenvalues": [-4.5625, -4.5625, -4.5625, -4.5625, -4.5625, -4.5625], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.5625, "smallest_bitstrings": ["0100010010010", "0010100001001", "1000010001001", "0001010010100", "0100010100001", "0010001010100"], "largest_eigenvalue": 7.4375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rz(2.153037241710294) q[0];
ry(2.8201558706824947) q[0];
rz(-1.0964859546553307) q[0];
rz(2.1333582376506905) q[1];
ry(0.15892509268966537) q[1];
rz(-1.6916143838639954) q[1];
rz(1.75785362318471) q[2];
ry(3.0254874125134914) q[2];
rz(-1.5023652091057438) q[2];
rz(0.69... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZIZ",
"IIIIIIIIIZIIZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIZIZI",
"IIIIIIIIIZZII",
"IIIIIIIIIIZZZ",
"IIIIIIIIIZIZZ",
"IIIIIIIIIZZIZ",
"IIIIIIIIIZZZI",
"IIIIIIIIIZZZZ",
"IIIIIIIZZIIII",
"IIIIIIZIZIIII",
"IIIIIIZZIIIII",
"IIIIIIZZZIIII",
"IIIIIIIIZIIIZ",
"IIIIIZIIIII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
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-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.0625,
0.0625,
0.0625,
0.0625,... | 0.978416 | [
1.5198147319805961,
0.1788483797393438,
0.02999678258381174,
0.6808683915198023,
1.6628361050899771,
0.022010938023118376,
1.5626121881773296,
-0.1866293335447291,
1.5076647251256556,
-0.06934225674553518,
0.04768782929092818,
1.5650139863901513,
1.7267599780039402,
-0.08522518544321384,
... | {
"n_parameters": 48,
"n_qubits": 13,
"optimal_eigenvalue": -4.5625,
"target_ratio": 0.97,
"target_value": -4.425625
} | 15 |
835d424ee6f644158225a5d9e71bfc7c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"sour... | {"states": [278, 286], "expectation_value": -3.8080026716540107, "params": [0.2061, 0.20800000000000002, 0.07250000000000001, 0.0743, -0.0017000000000000001, 0.0028, -0.0005, -0.004, 0.2039, 0.19740000000000002, 0.2061, 0.20120000000000002, 0.2073, 0.19870000000000002, 0.19890000000000002, 0.2031, 0.115, 0.120100000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(5)) + -1.5 * Z(2) + 0.0 * Z(0) + -2.0 * Z(3) + -1.0 * Z(1) + -... | 13 | 9 | 4 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["011100001"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.5603595554312287) q[0];
rz(-0.016821955731863125) q[0];
ry(0.0723493752937105) q[1];
ry(0.020518960686690693) q[2];
ry(0.21982539243779797) q[3];
ry(0.32436868402231206) q[4];
ry(0.5603595554312287) q[5];
ry(0.4681151155138855) q[6];
ry(0.22204077711296927) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIZI",
"IIZIIZIII",
"IIZIIIIZI",
"IZIIIIIZI",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"ZIIIZIIII",
"ZIIZIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IIZIIIIII",
"IZIIIIIII",
"IIIIZIIII",
"IIIZIIIII",
"ZIIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-2,
-1,
-0.5,
0,
-1,
-1,
-0.5
] | 0.975659 | [
0.5603595554312287,
0.0723493752937105,
0.020518960686690693,
0.21982539243779797,
0.32436868402231206,
0.4681151155138855,
0.22204077711296927,
-0.2649017265319732,
-0.03364391146372625,
0.10885789565086085,
-0.09476103041774595,
-0.02491864663279967,
-0.08889774829579747,
-0.150437950495... | {
"n_parameters": 128,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 11 |
89c95a6653b347b1c88e907e978e885e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"sour... | {"states": [394, 410], "expectation_value": -5.567683470401215, "params": [[0.5313, 0.5966, -0.019200000000000002, -0.0021000000000000003, 0.225, 0.7607, 0.0019, 0.7834, 0.0004], [0.9042, 0.8997, 0.0648, 0.0013000000000000002, 0.8543000000000001, 0.9019, 0.0015, 0.7832, 0.0053], [0.1474, 0.1476, 0.009300000000000001, -... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(5) @ Z(8)) + -1.5 * Z(6) + 0.0 * Z(0) + -2.0 * Z(2) + 0.0 * Z(1) + -0... | 10 | 9 | 3 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["001000111", "001100101"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.4440547712546259) q[0];
ry(0.600714184060284) q[1];
ry(-0.23050039413477902) q[2];
ry(0.11272895837036764) q[3];
ry(0.33088531294767626) q[4];
ry(0.9273967826190612) q[5];
ry(-0.00011442698740639703) q[6];
ry(0.6320682957405598) q[7];
ry(0.06200186079598295) q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIIZ",
"IIZIIIZII",
"IIIIIIZZI",
"IIIIIZZII",
"IIZIZIIII",
"IIIIZIZII",
"ZIIIIIZII",
"ZIIIZIIII",
"IZZIIIIII",
"IZIIIZIII",
"ZZIIIIIII",
"ZIIZIIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-2,
0,
-0.5,
-1,
-1.5,
-1,
0
] | 0.974108 | [
0.4440547712546259,
0.600714184060284,
-0.23050039413477902,
0.11272895837036764,
0.33088531294767626,
0.9273967826190612,
-0.00011442698740639703,
0.6320682957405598,
0.06200186079598295,
1.3155745756932884,
1.2880031541075945,
0.1297474660705847,
-0.06634300501783162,
1.2383927855349797,... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 12 |
17639781641b88f9ffa836608d3b637d | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [81, 113], "expectation_value": -2.5343511877044764, "params": [0.40090000000000003, 0.0, 0.4027, -0.0082, 0.4061, 0.0098, 0.1371, 0.2416, -0.017, 0.22160000000000002, 0.3934, 0.2141, 0.3976, 0.1807, 0.4068, -0.0004, 0.4082, 0.005, 0.4082, 0.018000000000000002, 0.14350000000000002, 0.2571, -0.013600000000000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(3) + -0.5 * Z(0) + -2.0 * Z(4) + 0.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(5) + 0.0 * Z(6) | 3 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["0001101", "0001110"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.00853918573311922) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.00853918573311922) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.00853918573311922) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.00853918573311922) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZZIII",
"IIZIIIZ",
"IIZIIZI",
"IIIZZII",
"IIZIZII",
"IZZIIII",
"ZZIIIII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-2,
0,
-0.5,
-0.5,
0
] | 0.974159 | [
-0.00853918573311922,
-1.46907002646597,
0.9850051801492483,
-1.7030247221684855,
-1.4177978208095698,
-1.4428484379449076,
-1.7150907024388522,
1.9780572392671765,
1.482166439868953,
1.6093899059678605
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 39 |
-1414922549263232579 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 6], [1, 6], [5, 7], [3, 4], [0, 3], [4, 6], [2, 4], [8, 1], [5, 6], [6, 7], [3, 5], [8, 7], [1, 2], [2, 5], [3, 6], [1, 7], [8, 0], [1, 3], [8, 2], [1, 4], [8, 5], [0, 4], [2, 3]]} | {"states": [115, 396], "expectation_value": -0.25068052527187223, "params": [[0.0766], [-0.0743]], "bitstrings": ["110001100", "001110011"], "total_optimization_steps": 10, "probabilities": [0.002372256583901222, 0.002372256583901222], "optimization_time": 3.7863762378692627} | 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -3.5, "smallest_bitstrings": ["001110011", "110001100", "111001010", "111001000", "000110111", "000110101", "111001100", "000110011"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.05676561483452835) q[0];
rz(-0.4306765531101382) q[0];
rx(0.07029199665228401) q[1];
rz(0.07640066565582782) q[1];
rx(0.15032344096059136) q[2];
rz(1.2772152307583777) q[2];
rx(1.5926988011060197) q[3];
rz(-0.11210872905434721) q[3];
rx(2.156080419570045) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[6], q[2];
rz(x0) q[2];
cx q[6], q[2];
cx q[6], q[1];
rz(x0) q[1];
cx q[6], q[1];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZII",
"IIZIIIIZI",
"IIIIIIZZI",
"IIZZIIIII",
"IIIZIIZII",
"IZZIIIIII",
"IZIIIIIZI",
"IZIZIIIII",
"IIZIIZIII",
"IIIIIZZII",
"IIIIIZIZI",
"IIIZIZIII",
"IIZIZIIII",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIIIZIIZ",
"IIIIZIIIZ",
"ZIIIIIZII",
"ZIIIIIIZI",
"ZIIZIIIII",
"... | [
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,
0,
0,
0,
0,
0,
0,
0
] | 0.97096 | [
0.05676561483452835,
-0.1521515152976201,
0.07029199665228401,
-0.1464373381646895,
0.15032344096059136,
1.1524312081894987,
1.5926988011060197,
-0.13357895869594402,
2.156080419570045,
0.26557749725664404,
0.16331319675510486,
0.016363013521905362,
2.1415822174893258,
-0.6445127704647975,... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 72 |
1087270650222641943 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[8, 1, 3], [0, 1, 2, 5, 9, 10], [0, 1, 2, 6, 7], [9, 4, 6, 7], [0, 8, 6, 7], [0, 9, 3, 4], [2, 3, 4, 5, 6, 7, 8, 10], [0, 1, 3, 5, 9, 10], [0, 2, 3, 6, 7, 9, 10], [0, 1, 2, 3, 4, 5], [1, 2, 3, 5, 6, 9], [1, 4, 6], [8, 9, 3], [0, 2, 4, 5, 6, 8, 9], [1, 2, 5, 7... | {"states": [847, 1871], "expectation_value": -2.8762229290841055, "params": [[[1.6217000000000001, 0.008400000000000001], [3.1441000000000003, 0.0054], [3.1397, 0.0033], [0.7379, 0.0045000000000000005], [3.1395, 0.006900000000000001], [0.7716000000000001, 0.0038], [0.7258, 0.0058000000000000005], [3.1397, 0.0033], [3.1... | 0.19047619047619047 * (Z(8) @ Z(1)) + 0.26666666666666666 * (Z(3) @ Z(1)) + 0.35119047619047616 * (Z(3) @ Z(8)) + 0.15 * (Z(0) @ Z(1)) + 0.10714285714285714 * (Z(0) @ Z(8)) + 0.1738095238095238 * (Z(0) @ Z(3)) + 0.1738095238095238 * (Z(2) @ Z(1)) + 0.06547619047619047 * (Z(2) @ Z(8)) + 0.10833333333333334 * (Z(2) @ Z(3... | 1 | 11 | 1 | {"smallest_eigenvalues": [-3.3011904761904765], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.272619047619047, "smallest_bitstrings": ["00010110000"], "largest_eigenvalue": 14.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(2.520632931165222) q[0];
rz(-0.3073462009556941) q[0];
rx(3.380950293250176) q[1];
rz(0.04702428147050475) q[1];
rx(3.1879672040316067) q[2];
rz(-0.06584638872254078) q[2];
rx(0.1345553454681027) q[3];
rz(0.02689717188201802) q[3];
rx(3.1599285742932914) 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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIIIZI",
"IIIIIIIZIZI",
"IIZIIIIZIII",
"IIIIIIIIIZZ",
"IIZIIIIIIIZ",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIZIIIIIZII",
"IIIIIIIZZII",
"IIIIIIIIZIZ",
"IIIIIZIIIZI",
"IIZIIZIIIII",
"IIIIIZIZIII",
"IIIIIZIIIIZ",
"IIIIIZIIZII",
"IZIIIIIIIZI",
"IZZIIIIIIII",
"IZIIIIIZIII",
"IZIIIIIII... | [
0.19047619047619047,
0.26666666666666666,
0.35119047619047616,
0.15,
0.10714285714285714,
0.1738095238095238,
0.1738095238095238,
0.06547619047619047,
0.10833333333333334,
0.16428571428571428,
0.15714285714285714,
0.06547619047619047,
0.11785714285714285,
0.12380952380952381,
0.165476190... | 0.972218 | [
2.520632931165222,
-0.3073462009556941,
3.380950293250176,
0.04702428147050475,
3.1879672040316067,
-0.06584638872254078,
0.1345553454681027,
0.02689717188201802,
3.1599285742932914,
-0.08128990348202766,
0.3699967542836249,
0.17268670465307442,
0.1560967317507484,
0.055564457210268134,
... | {
"n_parameters": 19,
"n_qubits": 11,
"optimal_eigenvalue": -3.3011904761904765,
"target_ratio": 0.97,
"target_value": -3.202154761904762
} | 15 |
e24c28a1225e0371d997320aeb87abff | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [3310, 2798], "expectation_value": -1.516076969497083, "params": [[[0.2736, -0.0845, 0.0097, 0.005], [0.4889, 0.10740000000000001, 0.396, 0.1227], [0.1522, 0.2482, 0.027100000000000003, -0.2561], [0.0941, -0.311, 0.4882, -0.2629], [0.2906, 0.035, 0.28400000000000003, 0.27690000000000003], [0.4897, 0.3793, 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)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(6) @ Z(0)) + 0.0625 * (Z(0) @ Z(8)) + 0.0625 * (Z(0) @ Z(9)) ... | 11 | 12 | 3 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 17, "first_excited_energy": -2.75, "smallest_bitstrings": ["010010100001", "001100100010", "010001100001", "010100010001", "010001100010", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-3.1286784485183885) q[0];
rz(-pi) q[0];
ry(-3.1286784485183885) q[1];
rz(-pi) q[1];
h q[2];
ry(1.4280074920992123) q[2];
h q[3];
ry(-1.57483087522206) q[3];
ry(-3.06011872053978) q[4];
rz(-pi) q[4];
cx q[2], q[4];
ry(-0.061314901645671084) q[4];
cx q[2], q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZZZ",
"IIIIIIIZZIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIIZZZIII",
"IIIIZZIIIIII",
"IIIIIIIIZIIZ",
"IIIIIZIIIIIZ",
"IIIZIIIIIIIZ",
"IIZIIIIIIIIZ",
"IIIIIZIIZIII",
"IIIZIIIIZIII",
"IIZIIIIIZIII",
"IIIZIZIIIIII",
"IIZIIZIII... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0... | 0.997889 | [
-1.57483087522206,
-1.5582277347958484,
1.4280074920992123,
0.12262980329134217,
0.2597492592485593,
-0.010901440633785661,
-0.01106501863558813,
-0.04011769675080307
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 1 |
4b4397a678de86b6a6c2f25f89bcf5fb | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": ... | {"states": [2048, 2047], "expectation_value": -26.26790254046964, "params": [[[-0.7064, -0.0013000000000000002], [-0.00030000000000000003, -0.029300000000000003], [-0.002, 0.0014], [0.0, 0.001], [-0.0038, 0.0027], [0.0007, 0.0028], [0.0004, -0.0011], [-0.0063, 0.001], [-0.0073, -0.0017000000000000001], [0.0023, 0.0046]... | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -1.75 * (Z(5) @ Z(4)) + -0.5 * (Z(9) @ Z(1)) + -1.5 * (Z(9) @ Z(4)) + -0.5 * (Z(7) @ Z(4)) + -1.25 * (Z(7) @ Z(5)) + -1.25 * (Z(7) @ Z(9)) + -1.75 * (Z(8) @ Z(4)) + -0.5 * (Z(8) @ Z(5)) + -0.25 * (Z(11) @ Z(4)) + -1.5 * (Z(11) @ Z(9)) + -1.5 * (Z(1... | 15 | 12 | 4 | {"smallest_eigenvalues": [-27.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.0, "smallest_bitstrings": ["100000000000"], "largest_eigenvalue": 25.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.6925340878661201) q[0];
ry(0.15377653883636658) q[1];
ry(0.011333064510222257) q[2];
ry(0.05582332400633584) q[3];
ry(-0.07095254139789554) q[4];
ry(0.07104597997585968) q[5];
ry(-0.2431928771404393) q[6];
ry(0.10018483322593284) q[7];
ry(0.0040748563412373075) 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": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIZIIIZ",
"IIIIIIZIIIZI",
"IIIIIIZZIIII",
"IIZIIIIIIIZI",
"IIZIIIIZIIII",
"IIIIZIIZIIII",
"IIIIZIZIIIII",
"IIZIZIIIIIII",
"IIIZIIIZIIII",
"IIIZIIZIIIII",
"ZIIIIIIZIIII",
"ZIZIIIIIIIII",
"ZIIZIIIIIIII",
"IIIIIZIIIIZI",
"IIIIIZZIIIII",
"IIIIZZIIIIII",
"IIIZIZIII... | [
-0.75,
-0.25,
-0.75,
-1.75,
-0.5,
-1.5,
-0.5,
-1.25,
-1.25,
-1.75,
-0.5,
-0.25,
-1.5,
-1.5,
-1.25,
-0.75,
-1.75,
-1.75,
1.25,
-1.5,
-1,
-0.5,
-1.25,
-2.25,
-0.25,
-1,
-1,
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-0.5,
3,
-0.75,
0.25,
0.25,
2.75,
-1.25,
-1.75,
-2,
1.25
] | 0.971736 | [
-0.6925340878661201,
0.15377653883636658,
0.011333064510222257,
0.05582332400633584,
-0.07095254139789554,
0.07104597997585968,
-0.2431928771404393,
0.10018483322593284,
0.0040748563412373075,
0.00692315108437069,
-0.02916120619888194,
-0.012479253586365549,
-0.12143423258375118,
0.0865940... | {
"n_parameters": 72,
"n_qubits": 12,
"optimal_eigenvalue": -27,
"target_ratio": 0.97,
"target_value": -26.189999999999998
} | 69 |
238da0afcff22b3cc95b712a7ad70447 | 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": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [48, 28], "expectation_value": -0.4771036905561621, "params": [[0.0621, 0.0699], [-0.0637, -0.052500000000000005]], "bitstrings": ["001111", "100011"], "total_optimization_steps": 10, "probabilities": [0.019210766991470424, 0.01998931711819817], "optimization_time": 2.704618215560913} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + -0.5 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z(1) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100011"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.15400852379458427) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.15400852379458427) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.15400852379458427) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(0.15400852379458427) q[0];
cx q[3], q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], ... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"ZIIIIZ",
"ZIZIII",
"ZZIIII",
"IZIIZI",
"ZIIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-0.5,
-1.5,
-1.5,
-0.5
] | 0.699923 | [
0.15400852379458427,
-0.16652351332765766,
0.9539397028763626,
1.06600767204121,
-0.6690269654905423,
0.34760366534217846,
-0.3361262054812998,
1.1832235155449329,
-0.26439160478237117,
-0.374497929541955
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 323 |
b0feb3aae3343307d568064fd81cd991 | 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": 6}, {"source": 2, "target": 3}, ... | {"states": [696, 697], "expectation_value": -2.683634222120501, "params": [[[0.5468000000000001, -0.1504, 0.0097, 0.0049], [0.111, 0.36160000000000003, 1.1006, -0.1293], [0.1439, 0.1062, -0.0086, 0.0511], [0.184, -0.07740000000000001, 0.1436, 0.11030000000000001], [0.0028, -0.0522, -0.001, -0.1247], [0.0042000000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(4) @ Z(3)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + ... | 11 | 10 | 4 | {"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, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 17, "first_excited_energy": -2.125, "smallest_bitstrings": ["0010101100", "0010101001", "0101000110", "0100101100", "010010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.11503807205460864) q[0];
rz(-0.04570287624914589) q[0];
ry(0.33511397942240595) q[1];
ry(0.8552826590354881) q[2];
ry(0.9650576281729341) q[3];
ry(0.7811503177574416) q[4];
ry(1.2601620003528657) q[5];
ry(0.7102206933589124) q[6];
ry(0.004297236274760377) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIIIZZIIZ",
"IIIIIIZIZI",
"IIIIZIIIZI",
"IIIZIIIIZI",
"IIIIZIZIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IIIIZIZIZI",
"IIIZIIZIZI",
"IIIZZIIIZI",
"IIIZZIZIII",
"IIIZZIZIZI",
"IIIIZIIZII"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
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0.125,
0.125,
0.125,
0.125,
0.125,
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0.5,
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0.25,
-0.25,
0,
0.125,
0,
0.125,
0,
0.125,
-0.125,
-0.25,
-0.25,... | 0.973839 | [
-0.11503807205460864,
0.33511397942240595,
0.8552826590354881,
0.9650576281729341,
0.7811503177574416,
1.2601620003528657,
0.7102206933589124,
0.004297236274760377,
0.049090961789492085,
0.6951539195156542,
-0.09140575249829178,
0.060969722153739414,
0.1950694243124536,
-0.0400863665507421... | {
"n_parameters": 78,
"n_qubits": 10,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 22 |
-7900289783294744989 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[5, 7], [0, 1, 2, 4, 5, 6], [8, 1], [0, 8, 6, 7], [0, 2, 3, 7], [8, 3, 5, 6], [0, 1, 2, 3, 4, 5], [1, 2, 3, 4, 5, 6]]} | {"states": [428, 438], "expectation_value": -0.6287682843454955, "params": [[0.2737], [-0.2767]], "bitstrings": ["001010011", "001001001"], "total_optimization_steps": 30, "probabilities": [0.004433079395639016, 0.0044858640121776825], "optimization_time": 3.4428117275238037} | 0.5 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.06666666666666667 * (Z(0) @ Z(5)) + 0.1 * (Z(1) @ Z(5)) + 0.06666666666666667 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(7)) + 0.1 * (Z(2) @ Z(5)) + 0.15 * (Z(2) @ Z(0)) + 0.1 * (Z(2) @ Z(1)) + 0.1 * (Z(4) @ Z(5)) + 0.06666666666666667 * (Z(4) @ Z(0))... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.2666666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.2333333333333334, "smallest_bitstrings": ["001001001"], "largest_eigenvalue": 6.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[5];
rz(1.5266971120937387) q[5];
cx q[7], q[5];
cx q[7], q[0];
rz(-0.03137335533500474) q[0];
cx q[7], q[0];
cx q[5], q[0];
rz(0.06262967651106209) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(0.144346... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IZIZIIIII",
"IZIIIIIIZ",
"IIIZIIIIZ",
"IIIZIIIZI",
"IIIIIIIZZ",
"IZIIIIZII",
"IIIZIIZII",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIZZIIII",
"IIIIZIIIZ",
"IIIIZIIZI",
"IIIIZIZII",
"IZZIIIIII",
"IIZZIIIII",
"IIZIIIIIZ",
"IIZIIIIZI",
"IIZIIIZII",
"IIZIZIIII",
"ZZIIIIIII",
"ZIIZIIIII",
"... | [
0.5,
0.16666666666666666,
0.06666666666666667,
0.1,
0.06666666666666667,
0.08333333333333333,
0.1,
0.15,
0.1,
0.1,
0.06666666666666667,
0.1,
0.1,
0.08333333333333333,
0.15,
0.11666666666666667,
0.06666666666666667,
0.06666666666666667,
0.06666666666666667,
0.08333333333333333,
... | 0.785778 | [
1.5266971120937387,
-0.03137335533500474,
0.06262967651106209,
0.1443461788528945,
-0.05708024346289769,
0.12892867187703388,
0.005427862639282559,
-0.010870772661485556,
0.26368954497902675,
1.5440482624330056,
-0.8875813760704725
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -2.2666666666666666,
"target_ratio": 0.97,
"target_value": -2.1986666666666665
} | 227 |
9d210320770659afd6c4df9432851dd5 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [892, 1021], "expectation_value": -10.109334634323064, "params": null, "bitstrings": ["0010000011", "0000000010"], "total_optimization_steps": 100, "probabilities": [0.11186108526741008, 0.33275928790736986], "optimization_time": 138.38293504714966} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(7)) + -1.0 * (Z(9) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(2) + 0.5 * Z(9) + -0.5 * Z(8) | 5 | 10 | 1 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["0000000010"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-1.764811711578853) q[0];
rz(1.401821238215529) q[0];
rx(-1.3438111623678597) q[1];
rz(1.6215514945295517) q[1];
rx(-2.8706179825194638) q[2];
rz(2.1604516994616514) q[2];
rx(2.937109841823813) q[3];
rz(1.8569562550251328) q[3];
rx(-3.03671375413231) q[4];
rz(2.1185... | null | {"node": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5681) 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] = measu... | [
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIIZIZIII",
"IIZZIIIIII",
"ZIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIZIIIIII",
"IIIIIIIZII",
"ZIIIIIIIII",
"IZIIIIIIII"
] | [
-1,
-1.5,
-1.5,
-1.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970402 | [
-1.7648117115788533,
-0.16897508857936747,
-1.3438111623678597,
0.050755167734654376,
-2.8706179825194638,
0.5896553726667542,
2.937109841823813,
0.28615992823023606,
3.2464715530472765,
0.5477910946467446,
2.301842578349273,
0.031502677598615275,
3.126611720555391,
0.2413856615184078,
0... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 259 |
b92c16178f977d94a04901a5809941e1 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 3, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -21.680730890127744, "params": [-0.2866, 0.007200000000000001, -0.055900000000000005, 0.0008, -0.0036000000000000003, 0.3074, 0.0083, 0.30360000000000004, 0.40130000000000005, 0.0018000000000000002, 0.40790000000000004, 0.0015, -0.012100000000000001, 0.2467, 0.00840000000000000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(8) @ Z(0)) + -0.75 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(8)) + 4.0 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(9)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(10) @ Z(1)) + -0.75 * (Z(10) @ Z(2)) + -1.5 * (Z(10) @ Z(6)) + -2.0 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(10)) + -2.25 * (Z(7) @... | 6 | 11 | 2 | {"smallest_eigenvalues": [-27.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.75, "smallest_bitstrings": ["11011111111"], "largest_eigenvalue": 25.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.3275198513596131) q[0];
rz(1.8166598013192008) q[0];
rx(-0.06429994971731434) q[1];
rz(1.7222673694459125) q[1];
rx(0.8135767518249047) q[2];
rz(1.6135704463913) q[2];
rx(-0.031199877835869107) q[3];
rz(1.7254602191006292) q[3];
rx(0.0068836676576478064) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIZIIIIIIIZ",
"IZIIIIIIIIZ",
"IZZIIIIIIII",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IZIIIIIZIII",
"IIIIZIIIIZI",
"ZIIIIIIIIZI",
"ZIIIIIIIZII",
"ZIIIZIIIIII",
"IIIIIZIZIII",
"ZIIIIZIIIII",
"IIZZIIIIIII",
"IIIZZIIIIII",
"IZIIIIZIIII",
"IIIZIIZIIII",
"IIIIIIIIIZI",
"IIIIIIIII... | [
-1.5,
-1.5,
-0.75,
-1,
4,
-1.5,
-0.5,
-1,
-0.5,
-0.75,
-1.5,
-2,
-0.75,
-2.25,
-1.5,
-0.5,
-1.25,
-0.5,
-0.25,
-2.25,
0.25,
3.25,
0.5,
1.5,
-1.5,
1.25,
-0.5,
-1.75
] | 0.973345 | [
-0.3275198513596131,
0.24586347452430266,
-0.06429994971731434,
0.15147104265101693,
0.8135767518249047,
0.042774119596403676,
-0.031199877835869107,
0.15466389230573124,
0.006883667657647807,
0.3842708451905318,
0.33659331499359174,
0.28281537468596357,
-0.1679198272155051,
-0.04223494243... | {
"n_parameters": 106,
"n_qubits": 11,
"optimal_eigenvalue": -27.75,
"target_ratio": 0.97,
"target_value": -26.9175
} | 9 |
2e2b99aee8ac569092f35ace44b8c3ea | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.01806009583894827, "params": [[-0.063], [0.0727]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 10, "probabilities": [1.641040694742629e-05, 1.6410406947426292e-05], "optimization_time": 12.820235013961792} | 0.25 * (Z(0) @ Z(1)) + -0.0008264462809917356 * (Z(2) @ Z(0)) + -0.0008264462809917356 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0002066115702479339 * (Z(4) @ Z(0)) + -0.0008264462809917356 * (Z(4) @ Z(2)) + 0.0002066115702479339 * (Z(5) @ Z(1)) + -0.0008264462809917356 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0007... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.0237603305784737], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0237603305784533, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.0157024793388407} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.547248083452974) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.05502986586328642) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.05502986586328642) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-1.547248083452974) q[3];
cx q[2], 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;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(x0) q[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0008264462809917356,
-0.0008264462809917356,
0.25,
0.0002066115702479339,
-0.0008264462809917356,
0.0002066115702479339,
-0.0008264462809917356,
0.25,
-0.0007231404958677687,
-0.0005165289256198348,
-0.0007231404958677687,
-0.0007231404958677687,
-0.0005165289256198348,
-0.00072... | 0.977622 | [
-1.547248083452974,
-0.05502986586328642,
0.004823735628772717,
0.05824171975811666,
0.7541495990210797
] | {
"n_parameters": 5,
"n_qubits": 16,
"optimal_eigenvalue": -2.0237603305784737,
"target_ratio": 0.97,
"target_value": -1.9630475206611195
} | 24 |
b479847f05cc20709fc3e89f53936753 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3},... | {"states": [96, 2016], "expectation_value": -20.431964501143284, "params": [[[-0.0024000000000000002, 0.0012000000000000001], [-0.0022, 0.0035], [-0.0027, 0.0053], [1.478, 0.0026000000000000003], [0.0031000000000000003, 0.0036000000000000003], [1.7038, 0.0055000000000000005], [0.0022, 0.0098], [-0.0027, 0.0], [-0.0022,... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(5)) + -3.0 * (Z(6) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + -3.0 * (Z(8) @ Z(6)) + 0.5 * (Z(10) @ Z(7)) + -2.5 * (Z(10) @ Z(6)) + -2.0 * (Z(10) @ Z(8)) + -2.5 * (Z(9) @ Z(7)) +... | 2 | 11 | 1 | {"smallest_eigenvalues": [-23.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["00000011111"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.0370762081421891) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.8048052392267006) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(-0.18916688675902776) q[2];
cx q[1], q[2];
rz(-0.18916688675902815) q[1];
rx(-0.9898... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIIZZIIII",
"IIIZZIIIIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"ZIIZIIIIIII",
"ZIIIZIIIIII",
"ZIZIIIIIIII",
"IZIZIIIIIII",
"IZIIZIIIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIII... | [
-1.5,
-2,
-2,
0.5,
0.5,
-2,
-1,
-3,
1,
-3,
0.5,
-2.5,
-2,
-2.5,
1,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-2,
1,
1,
1
] | 0.597027 | [
-1.0370762081421891,
-0.8048052392267006,
-0.18916688675902776,
-1.7434846051990034,
-0.49751966242042456,
-0.24513101161833928,
-0.6220850647171625,
-0.9898462147325825
] | {
"n_parameters": 8,
"n_qubits": 11,
"optimal_eigenvalue": -23.5,
"target_ratio": 0.97,
"target_value": -22.794999999999998
} | 201 |
d2ab62c933304b5c3d761f042e65d199 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capaci... | {"states": [3695, 1613], "expectation_value": -7.3385606820386355, "params": [[0.1346, 0.2826, 0.4113, 0.4864], [-0.5494, -0.34450000000000003, -0.1794, -0.11660000000000001]], "bitstrings": ["1000110010000", "1100110110010"], "total_optimization_steps": 60, "probabilities": [0.012971010581244578, 0.013235571188023562]... | 1.0 * (Z(9) @ Z(10)) + 0.5 * (Z(11) @ Z(10)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(0) @ Z(11)) + -0.5 * (Z(6) @ Z(10)) + -0.5 * (Z(6) @ Z(9)) + -1.0 * (Z(6) @ Z(11)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(11)) + -0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(8) @ Z(11)) + -0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6... | 1 | 13 | 4 | {"smallest_eigenvalues": [-8.833333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.666666666666666, "smallest_bitstrings": ["1100110110010"], "largest_eigenvalue": 24.333333333333336} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[4];
rz(0.01428808446472929) q[4];
cx q[5], q[4];
rz(0.7076710511306401) q[4];
rx(0.6799700390829646) q[4];
rz(0.7076710511306401) q[5];
rx(0.6799700390829646) q[5];
cx q[5], q[4];
rz(-0.018813340844222627) 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": 5} | {"circuits": [], "gradients": []} | [
"IIZZIIIIIIIII",
"IZZIIIIIIIIII",
"IZIZIIIIIIIII",
"IZIIIIIIIIIIZ",
"IIZIIIZIIIIII",
"IIIZIIZIIIIII",
"IZIIIIZIIIIII",
"IIIIIIZIIIIIZ",
"IZIIIZIIIIIII",
"IIIIIZIIIIIIZ",
"IIIIIZZIIIIII",
"IZIIZIIIIIIII",
"IIIIZIIIIIIIZ",
"IIIIZIZIIIIII",
"IIIIZZIIIIIII",
"IIZIIIIIIIIZI",
"IIIZIIIIIII... | [
1,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
0.4166666666666667,
-0.08333333333333333,
2,
2,
0.5,
-0.5833333333333333,
-0.5,
0.5,
0.5,
-1.08333333333333... | 0.939928 | [
-0.022671081592215675,
0.06161724149777843,
0.005991387157856576,
-0.6387503257619822,
-0.010357105256603799,
0.01428808446472929,
-0.47916225336349694,
0.7655302160406787,
-1.1089908052403838,
-1.436223898761174,
-0.6605812567300683,
0.70767105113064,
0.6799700390829644,
0.042096629996697... | {
"n_parameters": 39,
"n_qubits": 13,
"optimal_eigenvalue": -8.833333333333332,
"target_ratio": 0.97,
"target_value": -8.568333333333332
} | 500 |
1165009819056049206 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 5], [0, 2, 4], [0, 8, 7], [8, 1], [5, 6], [8, 4], [3, 6, 7], [1, 5, 7], [2, 5, 7], [1, 6], [1, 3, 7], [8, 3, 5], [2, 6, 7], [0, 6], [3, 4, 6], [1, 3, 5], [8, 2]]} | {"states": [510, 498], "expectation_value": -4.242688779407762, "params": null, "bitstrings": ["000000001", "000001101"], "total_optimization_steps": 69, "probabilities": [0.054322525973335464, 0.7942814781038425], "optimization_time": 121.91409206390381} | 0.5 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.3333333333333333 * (Z(7)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.833333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.166666666666666, "smallest_bitstrings": ["000001101"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(0.5980209301133956) q[0];
cx q[5], q[0];
cx q[5], q[2];
rz(0.036474722643509566) q[2];
cx q[5], q[2];
cx q[0], q[2];
rz(0.036474722643509566) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(0.036474722643509566) q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIZIIIIZ",
"IIIZIIZII",
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIIIZIZII",
"ZIIZIIIII",
"ZIIIIIIIZ",
"ZIIIIIZII",
"ZIIIZIIII",
"IZIZIIIII",
"IZIIIIIIZ",
"IZIIIIZII",
"ZZIIIIIII",
"IIIZIIIZI",
"ZIIIIIIZI",
"IZIIIIIZI",
"IIZZIIIII",
"IIZIIIIIZ",
"IIZIIIZII",
"IIZIZIIII",
"IZZIIIIII",
"... | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.5,
0.3333333333333333,
0.5,
0.5,
0.... | 0.509729 | [
0.5980209301133956,
0.036474722643509566,
0.08642156873729538,
-1.2347841663777754,
1.5132267767941192,
1.5033471382895651,
-0.8853095062759297
] | {
"n_parameters": 7,
"n_qubits": 9,
"optimal_eigenvalue": -4.833333333333333,
"target_ratio": 0.97,
"target_value": -4.688333333333333
} | 217 |
4697271696339792707 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 2, 5], [8, 0, 3, 6], [8, 0, 2, 4], [3, 7]]} | {"states": [117, 125], "expectation_value": -1.1337151476980214, "params": null, "bitstrings": ["110001010", "110000010"], "total_optimization_steps": 74, "probabilities": [0.15917975263747705, 0.2999771084271842], "optimization_time": 111.0194263458252} | 0.08333333333333333 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(8)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.25, -1.25, -1.25, -1.25, -1.25, -1.25, -1.25, -1.25], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.2499999999999998, "smallest_bitstrings": ["100001010", "010010110", "001100000", "001000110", "000111000", "000011110", "010110000", "110000010"], "largest_eigenvalue": 3.50... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.0021224112968953493) q[0];
rz(0.9900574878032353) q[0];
rx(2.2056693510375904) q[1];
rz(1.6897641110727903) q[1];
rx(1.694399077085838) q[2];
rz(1.8552776309187617) q[2];
rx(1.0818333860876328) q[3];
rz(1.7607468788043406) q[3];
rx(1.4686097069685555) q[4];
rz(2.26... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.3016) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"ZIIIIIIZI",
"IIIIIIZZI",
"ZIIIIIZII",
"IIIZIIIZI",
"ZIIZIIIII",
"IIIZIIZII",
"ZIIIIIIIZ",
"IIIIIIZIZ",
"ZIIIIZIII",
"IIIIIZIIZ",
"ZIZIIIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIIIZIIII",
"IIIIZIZII",
"IIIIZIIIZ",
"IZIIIZIII",
"IIIIIIIZI",
"ZIIIIIIII",
"IIIIIIZII",
"IIIZIIIII",
"... | [
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.083333333333333... | 0.970078 | [
0.0021224112968953497,
-0.5807388389916616,
2.2056693510375904,
0.11896778427789373,
1.694399077085838,
0.28448130412386513,
1.0818333860876328,
0.18995055200944416,
1.4686097069685553,
0.6907757547888065,
0.055326068940549845,
-0.5390706186711719,
2.290253140602532,
0.5167688187687426,
... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -1.25,
"target_ratio": 0.97,
"target_value": -1.2125
} | 163 |
3fd0da358f2b74b4c69a0fb684ccd08b | 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": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target":... | {"states": [256, 264], "expectation_value": -18.158639122062603, "params": [-0.29150000000000004, -0.0047, -0.3665, -0.005200000000000001, 0.18430000000000002, -0.0161, 0.2444, 0.016, 0.48700000000000004, 0.0025, 0.4793, -0.0054, -0.25880000000000003, 0.19990000000000002, 0.15960000000000002, 0.1515, -0.002600000000000... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(5)) + -0.75 * (Z(10) @ Z(0)) + -0.5 * (Z(10) @ Z(6)) + -0.5 * (Z(1) @ Z(8)) + -0.25 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(8)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(9... | 6 | 11 | 3 | {"smallest_eigenvalues": [-18.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.75, "smallest_bitstrings": ["11011110111"], "largest_eigenvalue": 15.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.20353659651544756) q[0];
rz(1.934163730675376) q[0];
rx(0.08430189928023056) q[1];
rz(1.1153766642117748) q[1];
rx(0.43183400230052527) q[2];
rz(1.6052096722600897) q[2];
rx(-0.37134535669310814) q[3];
rz(2.0695269046397744) q[3];
rx(0.02844508511129746) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IIIIIZIIIIZ",
"IIIIZIIIIIZ",
"IIZIIIIZIII",
"IIZIIIIIIIZ",
"IIZIIZIIIII",
"ZIIIIIIIIIZ",
"ZIIIZIIIIII",
"IIZIIIIIIZI",
"IIIIIIZZIII",
"IIIIZIZIIII",
"IIZIIIZIIII",
"IIIIIIZIIZI",
"IZIIIZIIIII",
"IZIIZIIIIII",
"IZIIIIIIIZI",
"IZIIIIZIIII",
"IIIZIIIZIII",
"IIIZIZIII... | [
-0.25,
-0.5,
-0.5,
-0.5,
-0.75,
-0.25,
-0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
-0.25,
-0.5,
-1.25,
-0.5,
-0.75,
-0.25,
-1,
-0.5,
-0.25,
3,
-0.75,
0.25,
-0.25,
-0.75,
-1,
-1,
-0.25,
0.25,
-0.75,
-0.5,
1.75,
2.25
] | 0.971333 | [
-0.20353659651544753,
0.3633674038804803,
0.08430189928023057,
-0.4554196625831224,
0.43183400230052527,
0.0344133454651928,
-0.37134535669310814,
0.49873057784487745,
0.028445085111297456,
0.2022135383589376,
-0.05932463710584472,
0.20951872452742307,
-0.0933071511094993,
0.09894580829303... | {
"n_parameters": 153,
"n_qubits": 11,
"optimal_eigenvalue": -18.75,
"target_ratio": 0.97,
"target_value": -18.1875
} | 75 |
ed01866ce53def5a36a69737a2fd120b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [99, 67], "expectation_value": -0.1851550784606982, "params": [[-0.0335, -0.040400000000000005, -0.0115], [0.0258, 0.054700000000000006, 0.0222]], "bitstrings": ["10011100", "10111100"], "total_optimization_steps": 10, "probabilities": [0.0048352299362181324, 0.004836887938116], "optimization_time": 4.112179... | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(7)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.25 ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["10000100", "10001100", "10011100", "10111100"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.129145857303265) q[0];
rz(-0.04281809130716757) q[0];
rx(3.3646756556499158) q[1];
rz(-0.07126208372567235) q[1];
rx(0.2591409259719783) q[2];
rz(0.304554161903536) q[2];
rx(0.009149764329273965) q[3];
rz(-0.1564246855355176) q[3];
rx(-0.039435622912399666) 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": []} | [
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IZIIIZII",
"ZZIIIIII",
"IIIIZZII",
"IIIZZIII",
"IIZIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IZIIIIII",
"IIIIZIII"
] | [
-0.25,
-0.25,
-0.5,
-0.25,
1.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
0,
-0.25,
0,
-1,
0.25,
0.25,
0.25,
0.5
] | 0.974438 | [
-0.129145857303265,
-0.04281809130716757,
3.3646756556499158,
-0.07126208372567235,
0.2591409259719783,
0.304554161903536,
0.009149764329273965,
-0.1564246855355176,
-0.039435622912399666,
-0.14455685554995432,
0.29369761094609903,
2.532166941005374,
-0.020718965674505502,
3.10609841605757... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 8 |
38980211450f7282c15e0ab435ff2cd6 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 3}, {"capaci... | {"states": [0, 1], "expectation_value": -6.4999926984005585, "params": null, "bitstrings": ["111111", "111110"], "total_optimization_steps": 13, "probabilities": [1.8109829322873913e-06, 0.9999981818028625], "optimization_time": 7.682164192199707} | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(3) + 1.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.18057532849171046) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.18057532849171046) q[3];
cx q[2], q[3];
h q[4];
cx q[0], q[4];
rz(0.15240128173497133) q[4];
cx q[0], q[4];
cx q[4], q[1];
rz(0.4649246212783777) q[1];
cx q[4... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5681) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIZIZ",
"IZIIIZ",
"IZIIZI",
"IIZZII",
"IZZIII",
"IIZIZI",
"ZIIZII",
"ZIIIIZ",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIZIII",
"ZIIIII"
] | [
-0.75,
-0.25,
-0.5,
-0.75,
-0.25,
-1,
-0.25,
1.25,
0.25,
-0.25,
0,
-0.5,
-0.5,
1
] | 0.970699 | [
0.18057532849171046,
0.15240128173497133,
0.4649246212783777,
-0.16816126659960623,
-0.38958804491802196,
0.6933538979276795,
0.5762777327646811,
-0.6736008592295458,
1.3898734088318323,
0.35834720452177266,
0.2611471404449328,
0.6354636015951395,
-0.12256652965784247,
-0.6716227081292513,... | {
"n_parameters": 25,
"n_qubits": 6,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 144 |
fbae256178d16f79f77f5006a056f55c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "targ... | {"states": [0, 16383], "expectation_value": -32.25638595730654, "params": [[[0.0025, 1.6136000000000001], [0.0018000000000000002, 0.0027], [0.0022, 0.0018000000000000002], [0.0025, 0.0021000000000000003], [0.0022, 0.0017000000000000001], [0.0018000000000000002, 0.0017000000000000001], [0.0032, 0.0022], [0.0028, -0.0031... | -2.5 * (Z(0) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + -2.0 * (Z(4) @ Z(6)) + 1.0 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(4)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(7)) + -2.5 * (Z(8) @ Z(10)) + -3.0 * (Z(11) @ Z(10)) ... | 15 | 14 | 1 | {"smallest_eigenvalues": [-37.99999999999989], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -35.99999999999972, "smallest_bitstrings": ["00000000000000"], "largest_eigenvalue": 41.00000000000008} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
ry(-0.02199380129610767) q[0];
ry(-0.029129083542460223) q[1];
ry(0.0997046893275859) q[2];
ry(-0.02199380129610767) q[3];
ry(0.0997046893275859) q[4];
ry(-0.029129083542460223) q[5];
ry(0.2551200134371323) q[6];
ry(-0.03371008364746394) q[7];
ry(0.09282829659999994) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZIZ",
"IIIIIIIIIIZZII",
"IIIIIIIIIIZIIZ",
"IIIIIIIIIIIZZI",
"IIIIIIIIIIIIZZ",
"IIIIIIIIIIZIZI",
"IIIIIIIZIZIIII",
"IIIIIIZZIIIIII",
"IIIIIIZIIZIIII",
"IIIIIIIZZIIIII",
"IIIIIIIIZZIIII",
"IIIIIIZIZIIIII",
"IIIZIZIIIIIIII",
"IIZZIIIIIIIIII",
"IIZIIZIIIIIIII",
"ZIIZIIIIIIIIII"... | [
-2.5,
-2,
-2.5,
-2,
1,
-2,
-2,
1,
-2,
-2,
1,
-2,
-2.5,
-3,
-2.5,
-3,
-2.5,
1.5,
-2.5,
0.5,
0.5,
0.5,
1,
1,
-2.5,
-2.5,
1,
-1.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.973019 | [
-0.02199380129610767,
-0.029129083542460223,
0.0997046893275859,
0.2551200134371323,
-0.03371008364746394,
0.09282829659999994,
0.18614631962907735,
-0.07864282990106312,
3.0231720826068527,
0.06362462111088876,
0.012429270152260617,
-0.14364543187795326,
0.23765571366725952,
-0.0177408348... | {
"n_parameters": 15,
"n_qubits": 14,
"optimal_eigenvalue": -37.99999999999989,
"target_ratio": 0.97,
"target_value": -36.85999999999989
} | 18 |
8099577462485828212 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[9, 2, 11, 12], [1, 2, 5, 7, 9], [1, 10, 11, 12], [0, 4, 6, 7, 8, 11], [1, 4, 6, 8, 10], [3, 1, 11], [11, 9, 3], [8, 3, 5, 7], [8, 3, 12], [0, 1, 2, 4, 8, 9], [0, 1, 2, 6, 8], [3, 5, 6, 7, 9, 12], [0, 8, 9, 10, 12], [3, 5, 10, 11, 12], [1, 2, 4, 5, 8,... | {"states": [8071, 8077], "expectation_value": -6.052134667145566, "params": null, "bitstrings": ["0000001111000", "0000001110010"], "total_optimization_steps": 100, "probabilities": [0.03470483980459488, 0.8221308367991085], "optimization_time": 1999.8931515216827} | 0.3 * (Z(9) @ Z(2)) + 0.15 * (Z(11) @ Z(2)) + 0.2833333333333333 * (Z(11) @ Z(9)) + 0.15 * (Z(12) @ Z(2)) + 0.16666666666666669 * (Z(12) @ Z(9)) + 0.2833333333333333 * (Z(12) @ Z(11)) + 0.2 * (Z(1) @ Z(2)) + 0.16666666666666669 * (Z(1) @ Z(9)) + 0.35 * (Z(1) @ Z(11)) + 0.11666666666666667 * (Z(1) @ Z(12)) + 0.366666666... | 1 | 13 | 1 | {"smallest_eigenvalues": [-6.2], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.099999999999999, "smallest_bitstrings": ["0000001110010"], "largest_eigenvalue": 29.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
ry(1.1797277707393508) q[1];
h q[2];
ry(1.6352902939414775) q[2];
h q[3];
ry(0.7266935528513416) q[3];
cx q[2], q[3];
ry(-0.7266935528513416) q[3];
cx q[2], q[3];
h q[4];
h q[5];
ry(1.6274747816543882) q[5];
h q[6];
ry(-0.3270678510834782) q[6];
cx q[4]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] 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];\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] = meas... | [
"IIIZIIIIIIZII",
"IZIIIIIIIIZII",
"IZIZIIIIIIIII",
"ZIIIIIIIIIZII",
"ZIIZIIIIIIIII",
"ZZIIIIIIIIIII",
"IIIIIIIIIIZZI",
"IIIZIIIIIIIZI",
"IZIIIIIIIIIZI",
"ZIIIIIIIIIIZI",
"IIIIIIIZIIZII",
"IIIZIIIZIIIII",
"IZIIIIIZIIIII",
"ZIIIIIIZIIIII",
"IIIIIIIZIIIZI",
"IIIIIZIIIIZII",
"IIIZIZIIIII... | [
0.3,
0.15,
0.2833333333333333,
0.15,
0.16666666666666669,
0.2833333333333333,
0.2,
0.16666666666666669,
0.35,
0.11666666666666667,
0.36666666666666664,
0.25,
0.18333333333333332,
0.23333333333333334,
0.23333333333333334,
0.3333333333333333,
0.2833333333333333,
0.13333333333333333,
... | 0.973528 | [
1.6274747816543882,
1.6352902939414775,
1.4533871057026833,
1.6067215417319192,
1.1797277707393508,
-0.9133204427836679,
0.6467601125978417,
-0.5589318693729588,
-0.631313373740355,
0.5953032135496301,
-0.735602436078513,
0.7597713341279562,
-0.654383197458664,
0.5219005799932258,
-0.654... | {
"n_parameters": 55,
"n_qubits": 13,
"optimal_eigenvalue": -6.2,
"target_ratio": 0.97,
"target_value": -6.014
} | 1 |
8328621044505845926 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 7], [2, 5], [5, 6], [1, 5], [2, 6], [0, 2], [1, 3], [0, 4]]} | {"states": [61, 194], "expectation_value": -0.10136953589939666, "params": [[-0.0843], [0.077]], "bitstrings": ["11000010", "00111101"], "total_optimization_steps": 10, "probabilities": [0.004532734318699532, 0.004532734318699532], "optimization_time": 4.340623617172241} | 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0, "smallest_bitstrings": ["10010111", "01101010", "01101000", "00111101", "11000010", "10010101"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.22216265984433725) q[0];
h q[1];
ry(0.7268650660620743) q[1];
h q[2];
h q[3];
ry(-0.652183184601775) q[3];
h q[4];
cx q[4], q[0];
ry(0.22216265984433725) q[0];
cx q[4], q[0];
ry(-0.4437746944873201) q[0];
ry(1.2335803909369012) q[4];
h q[5];
ry(-0.22216265... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[1];
rz(x0) q[1];
cx q[7], q[1];
cx q[1], q[5];
rz(x0) q[5];
cx q[1], q[5];
cx q[5], q[2];
rz(x0) q[2];
cx q[5], q[2];
cx q[5]... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZI",
"IIZIIIZI",
"IIZIIZII",
"IZZIIIII",
"IZIIIZII",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.970343 | [
-0.4443253196886745,
1.5496441898202016,
-0.582325181279557,
1.4537301321241487,
-1.30436636920355,
0.8960317953574152,
-0.8875493889746402,
0.6750971911589722,
-0.5093999005881519,
0.019778981024728165,
0.10584791157443603,
-0.19459624975656686,
0.12495459309173348,
-0.4320143637572701,
... | {
"n_parameters": 50,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 11 |
7c7664cb9cb13a35da50c3201e32fb16 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 11, "source": 1, "target": 6}, {"weight": 16, "source": 1, "target": 2}, {... | {"states": [118, 117], "expectation_value": -7.375841507418718, "params": [[-0.058800000000000005], [0.0699]], "bitstrings": ["10001001", "10001010"], "total_optimization_steps": 10, "probabilities": [0.007626897144968949, 0.008289706600998516], "optimization_time": 1.6299207210540771} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(2) @ Z(3)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(6)) + 11.5 * Z(1) + 6.0 * Z(0) + 9.5 * Z(3) + 16.0 * Z(2) + 5.0 * Z(4) + 7.0 * Z(5) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-57.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -51.0, "smallest_bitstrings": ["10001010"], "largest_eigenvalue": 113.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.03443378752785541) q[0];
rz(-0.13110126421031687) q[0];
rx(0.1780229093399017) q[1];
rz(-0.1841110151175016) q[1];
rx(0.3258424952178776) q[2];
rz(0.019690802414419117) q[2];
rx(-0.1573527638739795) q[3];
rz(-0.15564052018377517) q[3];
rx(0.41048682556123217) 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;
input float[64] x7;
input float[64] x8;
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];
r... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIZII",
"IIZZIIII",
"IZZIIIII",
"ZIIIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11.5,
6,
9.5,
16,
5,
7,
5,
9
] | 0.983075 | [
-0.03443378752785541,
-0.07317377189750467,
0.1780229093399017,
-0.1000308368391451,
0.3258424952178776,
-0.025638991230291522,
-0.1573527638739795,
-0.2109726450679203,
0.4104868255612321,
-0.02896349377971935,
-0.10942550014263858,
0.023168782610153135,
0.146783244140875,
0.2167996115517... | {
"n_parameters": 135,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 11 |
5378628843727270665 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 5, 6], [3, 4], [8, 0, 4, 6], [8, 1, 4, 5], [3, 6], [8, 0, 6, 1], [0, 7], [2, 4]]} | {"states": [432, 404], "expectation_value": -2.8800535553363646, "params": null, "bitstrings": ["001001111", "001101011"], "total_optimization_steps": 46, "probabilities": [0.05078095594850754, 0.8857983128594672], "optimization_time": 87.32045817375183} | 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.08333333333333333 * (Z(4) @ Z(5)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(8) @ Z(5)) + 0.166666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.000000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101011"], "largest_eigenvalue": 6.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(1.3833555897193746) q[0];
h q[1];
h q[2];
ry(-0.728399942550646) q[2];
h q[3];
ry(-0.40415790834536014) q[3];
h q[4];
ry(1.4452506697624545) q[4];
cx q[4], q[2];
ry(0.728399942550646) q[2];
cx q[4], q[2];
ry(-0.08611317986585632) q[2];
h q[5];
ry(-0.187303371... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.3603) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIZIIIIZ",
"IIZZIIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IIIZZIIII",
"IIIIZIIIZ",
"IIZIZIIII",
"IIIIZZIII",
"ZIIZIIIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"ZIIIZIIII",
"IIIZIIIZI",
"IIIIIIIZZ",
"IIZIIIIZI",
"IIIIZIIZI",
"ZIIIIIIZI",
"IZIIIIIIZ",
"IIIIZIZII",
"IIIZIIIII",
"IIIIIIIIZ",
"... | [
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08... | 0.970188 | [
1.3833555897193746,
-1.3206289677525138,
-0.8083158166907203,
1.4452506697624545,
-1.456799885101292,
-0.6555647521488324,
1.1124686061286564,
-0.6715122246528952,
0.2532431749562609,
0.1284116845276294,
-0.6975410086281869,
-0.02701086167210944,
-0.3746067438773578,
0.535795972897454,
-... | {
"n_parameters": 38,
"n_qubits": 9,
"optimal_eigenvalue": -3.000000000000001,
"target_ratio": 0.97,
"target_value": -2.9100000000000006
} | 7 |
06224520ded029e940b1fde3f5ab3e3b | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 3}, {"source": 3, "target": 5}]} | {"states": [6, 7], "expectation_value": -1.6059239262227727, "params": [[[0.3194, -0.1857], [0.37520000000000003, 0.18150000000000002], [0.38480000000000003, -0.1797], [0.6462, 0.0063], [0.6897, 0.0009000000000000001], [0.5953, 0.0175]], [[0.3215, 0.1857], [0.37610000000000005, 0.18150000000000002], [0.3888000000000000... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 * ... | 1 | 6 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.4604609545342588) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(0.4604609545342588) q[1];
cx q[0], q[1];
rz(-0.5961919399360327) q[0];
rx(-0.8240718412880712) q[0];
cx q[3], q[2];
rz(0.4604609545342588) q[2];
cx q[3], q[2];
h... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
2,
2,
2,
2,
2,
1.75,
2,
1.75,
2,
2,
1.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.5,
-0.5
] | 0.720304 | [
0.4604609545342588,
-1.0130158982300328,
-0.5961919399360321,
0.10159268481627397,
-0.8240718412880712,
1.653056793347183,
-2.4998589588665014,
-1.3174178256009759,
-0.48477462442147073
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 246 |
bb78951d23ba1e63131fcc47aa4f8374 | 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": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "... | {"states": [500, 511], "expectation_value": -20.544176766815557, "params": null, "bitstrings": ["111000001011", "111000000000"], "total_optimization_steps": 100, "probabilities": [0.08118219795920009, 0.4509755229480553], "optimization_time": 345.7889838218689} | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(6)) + -2.0 * (Z(7) @ Z(9)) + 1.0 * (Z(11) @ Z(9)) + -2.5 * (Z(11) @ Z(7)) + -2.5 * (Z(8) @ Z(9)) + 1.0 * (Z(8) @ Z(7)) + -... | 1 | 12 | 1 | {"smallest_eigenvalues": [-26.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.5, "smallest_bitstrings": ["111000000000"], "largest_eigenvalue": 24.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.03627456476737051) q[0];
rz(0.16601414185334915) q[0];
rx(-0.00543322780971045) q[1];
rz(0.045623247083577734) q[1];
rx(2.271492161143217) q[2];
rz(-0.2165546897836524) q[2];
rx(0.043022114185683566) q[3];
rz(-0.07341671082620779) q[3];
rx(0.08309245689979744) q[4... | null | {"node": 0} | {"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];\ncry(1.5708) q[8], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measur... | [
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIIZZ",
"IIIIIIZIZIII",
"IIIIIZZIIIII",
"IIIIIZIIZIII",
"IIIIIIZZIIII",
"IIIIIIIZZIII",
"IIIIIZIZIIII",
"IIZIZIIIIIII",
"ZIZIIIIIIIII",
"ZIIIZIIIIIII",
"IIZZIIIIIIII",
"IIIZZIIIIIII",
"ZIIZIIIIIIII",
"IZZIIIIIIIII",
"IZIIZIIIIIII",
"ZZIIIIIII... | [
-2,
-2,
0.5,
-1.5,
-2,
-2,
0.5,
0.5,
-2,
-2,
1,
-2.5,
-2.5,
1,
-2.5,
0.5,
0.5,
-2,
-2,
-1.5,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.971383 | [
0.03627456476737051,
0.16601414185334915,
-0.00543322780971045,
0.045623247083577734,
2.271492161143217,
-0.2165546897836524,
0.043022114185683566,
-0.07341671082620779,
0.08309245689979744,
-0.025166797125888447,
0.18211823467173216,
0.11169640934108405,
-0.082782832711392,
0.170843035909... | {
"n_parameters": 22,
"n_qubits": 12,
"optimal_eigenvalue": -26.5,
"target_ratio": 0.97,
"target_value": -25.705
} | 9 |
fa12f3a697c97a90a7d75ad197dde7b9 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}]} | {"states": [22, 7], "expectation_value": -3.16698465304716, "params": [[-0.0391, -0.0252, -0.0222, -0.0361], [0.058800000000000005, 0.037000000000000005, 0.0309, 0.0354]], "bitstrings": ["101001", "111000"], "total_optimization_steps": 10, "probabilities": [0.025945445995736244, 0.026773675392167285], "optimization_tim... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * ... | 14 | 6 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(2.135653907332281) q[0];
ry(0.07785783286395775) q[0];
rz(-2.461338086738153) q[0];
rz(2.429152376567284) q[1];
ry(0.2252425377262643) q[1];
rz(-1.0510731615663547) q[1];
rz(-1.956988573421869) q[2];
ry(0.14605112814072668) q[2];
rz(0.30051180833493296) q[2];
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[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
1.75,
2,
2,
2,
2,
2,
1.75,
2,
2,
-0.75,
-0.75,
-0.75,
-0.25,
-0.25,
-0.25
] | 0.977057 | [
0.23599177523086315,
-0.24128829019517117,
0.08672641127394859,
0.5641813210321281,
0.02724449539707903,
-0.3809606943817887,
0.9600172844814231,
0.10376398558997606,
0.9072997747415072,
-0.031882398092854744,
0.9283660285539568,
-0.18778968286556685,
-0.0006073131649154268,
-0.03282407204... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 26 |
2811d61d5f2af44ed340d40c20ed9351 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [19, 26], "expectation_value": -0.11665328939787947, "params": [[-0.0373], [0.0488]], "bitstrings": ["1101100", "1100101"], "total_optimization_steps": 10, "probabilities": [0.008186949516866026, 0.00824353280903466], "optimization_time": 1.3883638381958008} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * Z(1) + -2.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(5) + -0.5 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100101", "1101100", "1111000", "1110001"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.008865039116866) q[0];
rz(0.046061827352180805) q[0];
ry(-0.1178852825250914) q[1];
rz(0.27829789344262645) q[1];
cz q[1], q[0];
ry(0.7395785684145371) q[0];
rz(0.25930506959302635) q[0];
ry(1.8785794145123382) q[1];
ry(-0.013192767967563551) q[2];
rz(-0.168361338... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IZIIIZI",
"IZIIIIZ",
"ZIIIIIZ",
"ZIIZIII",
"IIZIIZI",
"IIZIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-2,
-1,
-1,
-0.5,
-0.5,
-0.5
] | 0.97575 | [
1.008865039116866,
0.046061827352180805,
-0.1178852825250914,
0.27829789344262645,
-0.013192767967563551,
-0.16836133853821558,
0.7624316037340955,
-0.08143741373555383,
0.0010459890769583327,
-0.22073670180141544,
0.6737350169334692,
0.06213864785606113,
-0.11555027206492512,
0.0518644535... | {
"n_parameters": 117,
"n_qubits": 11,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 91 |
aade6b836b57350e8a9bbf86526779e2 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [399, 143], "expectation_value": -103.52916128393322, "params": [0.8544, 0.44670000000000004, 1.4948000000000001, 0.3047, 0.27290000000000003, 0.6291, -0.0027, 1.0275, 0.3216, 0.522, 1.4893, 0.003, 1.5031, -0.003, 1.4951, 0.0006000000000000001, 1.4956, 0.376, 0.8566, 0.0031000000000000003, 1.4982, 0.0092, 0.... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(4) @ Z(6)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(8) @ Z(0)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(8) ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-115.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -104.5, "smallest_bitstrings": ["101110000"], "largest_eigenvalue": 251.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.8085890563793883) q[0];
rz(0.14909745412444142) q[0];
rx(3.073558291239385) q[1];
rz(0.19004506974858693) q[1];
rx(0.06140415702136045) q[2];
rz(-0.19845885848079203) q[2];
rx(-0.04484486135507425) q[3];
rz(0.10933068580131859) q[3];
rx(0.151893916801693) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIZIIIZII",
"IIZZIIIII",
"IIIZZIIII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIZIIIII",
"IIZIIIIII",
"IIIIZIIII",
"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
25.5,
17.5,
2,
36,
14.5,
3,
23,
23,
-9.5
] | 0.973656 | [
0.8085890563793883,
0.08320250699556596,
3.073558291239385,
0.19004506974858693,
0.06140415702136045,
-0.19845885848079203,
-0.04484486135507425,
0.10933068580131859,
0.151893916801693,
0.2402050987537897,
3.2417518992647527,
0.06004241881298271,
3.2487462856026186,
0.09269344766098876,
... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -115.5,
"target_ratio": 0.97,
"target_value": -112.035
} | 6 |
8061c7d00448d73fc624ef8d7a226b6e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [2687, 2685], "expectation_value": -1.4147781292943702, "params": [[[2.1007000000000002, 0.0034000000000000002], [0.49050000000000005, 0.008], [1.9929000000000001, 0.005200000000000001], [0.5041, 0.0014], [1.1024, 0.0012000000000000001], [2.0964, 0.007], [2.0947, 0.0057], [2.1035, 0.0073], [2.1065, 0.0077], ... | 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(4) @ Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(3)) + 0.25 * (Z(9) @ Z(3)) + 0.25 * (Z(8) @ Z(9)) + -0.25 *... | 1 | 12 | 1 | {"smallest_eigenvalues": [-4.3125, -4.3125, -4.3125, -4.3125], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.3125, "smallest_bitstrings": ["100110000001", "101000011000", "011000101000", "010110000010"], "largest_eigenvalue": 7.6875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(3.4088294006118516) q[0];
rz(0.6987797313677601) q[0];
rx(-0.1365024235861082) q[1];
rz(0.3604131996465758) q[1];
rx(2.992370142907009) q[2];
rz(0.47401328691162614) q[2];
rx(0.11545423206510297) q[3];
rz(-0.5787609773158191) q[3];
rx(0.14661134041783602) 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": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZZII",
"IIIIIIIZIZII",
"IIIIIIZIIZII",
"IIIIIIZZIIII",
"IIIIIIZZIZII",
"IIIIIZIZIIII",
"IIIIZIIZIIII",
"IIIIZZIIIIII",
"IIIIZZIZIIII",
"IIIZIIIIZIII",
"IIZIIIIIZIII",
"IIZZIIIIIIII",
"IIZZIIIIZIII",
"IZIZIIIIIIII",
"ZIIZIIIIIIII",
"ZZIIIIIIIIII",
"ZZIZIIIII... | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0... | 0.973539 | [
3.4088294006118516,
0.6987797313677601,
-0.1365024235861082,
0.3604131996465758,
2.992370142907009,
0.47401328691162614,
0.11545423206510297,
-0.5787609773158191,
0.14661134041783602,
0.7045189662710297,
3.257416829257937,
0.2679133845975659,
3.3757677499516743,
0.14536420278853412,
3.36... | {
"n_parameters": 23,
"n_qubits": 12,
"optimal_eigenvalue": -4.3125,
"target_ratio": 0.97,
"target_value": -4.1831249999999995
} | 37 |
0227fd0262660357a7db3e0f6c7f2278 | 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}], "edges": [{"weight": 2, "source": 0, "target": 3}, {"weight": 12, ... | {"states": [123, 118], "expectation_value": -21.303925179944127, "params": [[0.038, 0.0083, -0.0055000000000000005], [-0.0669, -0.0497, -0.0344]], "bitstrings": ["10000100", "10001001"], "total_optimization_steps": 10, "probabilities": [0.012276634590419732, 0.014994759819773924], "optimization_time": 6.378161668777466... | 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(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(0)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 11.5 * Z(1) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-66.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 150.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.027365982549677238) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.027365982549677238) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.027365982549677238) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.027365982549677238) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZZIII",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIIZ",
"IZIIZIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11.5,
9,
14,
14.5,
8,
16,
12.5,
9
] | 0.980532 | [
-0.027365982549677238,
1.592618949151923,
-1.4329546286869304,
1.7054135985517422,
1.5904947995848453,
-1.053130351298244,
1.459491578953517,
1.7146146258034016,
-1.5092231146077384
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -66.5,
"target_ratio": 0.97,
"target_value": -64.505
} | 40 |
b2ad92d1453e889b732cbfcfd082cd41 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 10, "source": 0, "... | {"states": [366, 234], "expectation_value": -11.464803344384118, "params": [[-0.0405], [0.0707]], "bitstrings": ["010010001", "100010101"], "total_optimization_steps": 10, "probabilities": [0.0038862562951791357, 0.004444017516472903], "optimization_time": 2.1091296672821045} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-85.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 174.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(0.07331643645102212) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.07331643645102212) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(0.07331643645102212) q[1];
cx q[2], q[1];
h q[3];
cx q[0], q[3];
rz(0.07331643645102212) q[3];
cx q[0], 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[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[0],... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIZIIZII",
"IIIIIZIIZ",
"IIIZIZIII",
"IIIZZIIII",
"IIIIZZIII",
"IIZIIIIZI",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIIZIII",
"IIIIZIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
9.5,
22.5,
11.5,
20.5,
11.5,
0.5,
4.5,
19,
7.5
] | 0.956272 | [
0.07331643645102212,
1.3672231817191602,
-1.5677865044421424,
-1.6506634873926307,
-1.5934745094891105,
1.5118818624675805,
-1.7812763995064638,
1.3284599912179063,
1.1535493641022598,
-0.3699990203531776,
-0.6428687851956907,
-0.1084779865352908,
0.6312678235710382,
-0.49023685973430714,
... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -85.5,
"target_ratio": 0.97,
"target_value": -82.935
} | 500 |
cdcfba52a9f4860272a3dcf3b735a2ba | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [183, 182], "expectation_value": -66.80317762082399, "params": [0.0026000000000000003, 0.005200000000000001, 1.5658, 0.0037, 2.3867000000000003, 0.0055000000000000005, 0.0018000000000000002, 0.0004, 2.4058, 0.0078000000000000005, 2.4026, 0.0074, 1.1711, 0.0032, 2.3962000000000003, 0.008, 2.3921, 0.0024000000... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(3) @ Z(5)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(4) @ Z(1)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(4) @ Z(6)) + 7.5 * (Z(9) @ Z(2)) + 7.5 * (Z(8) @ Z(1)) + 7.5 * (Z(8) @ Z(4)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(7) @ Z(9)) + 7.5 * (Z(7) @ Z(8)) + 6.0 * Z(2) + 8.5 * Z(1) + 13.5 * Z(5) + -5.5 * Z(3) + 3.... | 18 | 10 | 1 | {"smallest_eigenvalues": [-114.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -96.5, "smallest_bitstrings": ["1101001001"], "largest_eigenvalue": 188.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.26688926512283295) q[0];
rz(0.3150582036043268) q[0];
rx(-0.019730684254316566) q[1];
rz(0.09033317791149009) q[1];
rx(3.1528066740199585) q[2];
rz(0.07534623766986916) q[2];
rx(0.32296123352668576) q[3];
rz(0.10040783359991237) q[3];
rx(3.214539733182237) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIZIZIII",
"IIIZZIIIII",
"IIIIIZIIZI",
"IIIIZZIIII",
"IIIZIZIIII",
"ZIIIIIIZII",
"IZIIIIIIZI",
"IZIIIZIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"IZZIIIIIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIZIIIII",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIIZIIII",
"ZIIIIIIIII",
"IZIIIIIIII"... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
6,
8.5,
13.5,
-5.5,
3,
23,
8.5,
20.5,
10,
-11
] | 0.97489 | [
-0.26688926512283295,
0.41409411201893587,
-0.019730684254316566,
0.09033317791149009,
3.1528066740199585,
0.07534623766986916,
0.32296123352668576,
0.10040783359991237,
3.214539733182237,
0.6557871082561297,
3.2786571468945818,
-0.8679042291192469,
-0.30643455457666846,
0.7320478126843626... | {
"n_parameters": 29,
"n_qubits": 10,
"optimal_eigenvalue": -114.5,
"target_ratio": 0.97,
"target_value": -111.065
} | 19 |
fa12f3a697c97a90a7d75ad197dde7b9 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}]} | {"states": [3, 7], "expectation_value": -1.2481198175194264, "params": [[[0.28800000000000003, -0.09380000000000001], [0.3009, -0.0916], [0.2939, 0.0896], [0.455, 0.002], [0.4637, -0.0006000000000000001], [0.4626, -0.002]], [[0.2884, -0.09380000000000001], [0.2988, -0.092], [0.2883, 0.08940000000000001], [0.4562, 0.002... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * ... | 1 | 6 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(2.135653907332281) q[0];
ry(0.07785783286395775) q[0];
rz(-2.461338086738153) q[0];
rz(2.429152376567284) q[1];
ry(0.2252425377262643) q[1];
rz(-1.0510731615663547) q[1];
rz(-1.956988573421869) q[2];
ry(0.14605112814072668) q[2];
rz(0.30051180833493296) q[2];
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[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
1.75,
2,
2,
2,
2,
2,
1.75,
2,
2,
-0.75,
-0.75,
-0.75,
-0.25,
-0.25,
-0.25
] | 0.977057 | [
0.23599177523086315,
-0.24128829019517117,
0.08672641127394859,
0.5641813210321281,
0.02724449539707903,
-0.3809606943817887,
0.9600172844814231,
0.10376398558997606,
0.9072997747415072,
-0.031882398092854744,
0.9283660285539568,
-0.18778968286556685,
-0.0006073131649154268,
-0.03282407204... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 26 |
d7a525ce4c2e3aa682dbfbc5ee640032 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [25, 19], "expectation_value": -3.9890654178560507, "params": null, "bitstrings": ["1100110", "1101100"], "total_optimization_steps": 31, "probabilities": [0.060236228906038886, 0.8645372940585687], "optimization_time": 24.320207118988037} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + 0.0 * Z(6) + -0.5 * Z(5) + 0.0 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["0111100", "1100110", "0110110", "1101100", "1110010"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027051847789835787) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.027051847789835787) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.027051847789835787) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.027051847789835787) q[3];
cx 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[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"ZIIIIZI",
"IZZIIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IZIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1.5,
0,
-0.5,
0
] | 0.976706 | [
0.027051847789835787,
-0.03206344691167204,
1.6851099918626093,
1.7238436867176876,
-1.4190839315479138,
-1.6226342532152522,
1.4767707881526164
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 75 |
c502b67eb6d91d909ba398fa39bec60c | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}]} | {"states": [4, 0], "expectation_value": -0.024181332061551833, "params": [[-0.0487], [0.0629]], "bitstrings": ["1011", "1111"], "total_optimization_steps": 10, "probabilities": [0.06326069678982642, 0.06404087504306165], "optimization_time": 1.924069881439209} | 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)) + -0.625 * Z... | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.125, "smallest_bitstrings": ["1111"], "largest_eigenvalue": 3.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(-0.057394609977100594) q[0];
ry(1.5139044986832286) q[1];
ry(0.02914218421175388) q[2];
ry(-0.044368933537627414) q[3];
ry(1.4230068144719492) q[4];
ry(-0.11603950978641897) q[5];
ry(-0.5094548802261205) q[6];
ry(0.04971594069488461) q[7];
ry(0.04895829829331563) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[2], q[1];
rz(x... | null | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZIZ",
"ZIIZ",
"IZZI",
"ZIZI",
"ZZII",
"IZZZ",
"ZIZZ",
"ZZIZ",
"ZZZI",
"ZZZZ",
"IIIZ",
"IIZI",
"IZII",
"ZIII"
] | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.625,
-0.625,
-0.625,
-0.625
] | 0.971723 | [
-0.057394609977100594,
1.5139044986832286,
0.02914218421175388,
-0.044368933537627414,
1.4230068144719492,
-0.11603950978641897,
-0.5094548802261205,
0.04971594069488461,
0.04895829829331563,
-0.1877934380534667,
1.2428533808206035,
0.09499352879649384,
2.05426296872183,
0.0193934036593824... | {
"n_parameters": 30,
"n_qubits": 15,
"optimal_eigenvalue": -7.999999999999979,
"target_ratio": 0.97,
"target_value": -7.759999999999979
} | 54 |
3816890346353333803 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 5], [3, 4], [2, 6], [4, 5], [0, 6], [1, 3]]} | {"states": [90, 116], "expectation_value": -0.04635449492883867, "params": [[0.0658], [-0.059500000000000004]], "bitstrings": ["0100101", "0001011"], "total_optimization_steps": 10, "probabilities": [0.008306269957532133, 0.008306269957532133], "optimization_time": 1.5092887878417969} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -1.0, "smallest_bitstrings": ["0100101", "1011000", "0001101", "1011100", "0001011", "1110010", "1110100", "1110110", "1011010", "0100111", "0001001", "0100011... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.11946290938922188) q[0];
rz(1.4305415835615989) q[0];
rx(0.11946290938922188) q[1];
rz(1.7022797650002914) q[1];
rx(-0.03387570142757738) q[2];
rz(2.1178733613156897) q[2];
rx(3.104593767706998) q[3];
rz(1.4434390583007204) q[3];
rx(1.668742436381537) q[4];
rz(1.57... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[3];
rz(x0) q[3];
cx q[5], q[3];
cx q[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4];
cx q[6], q[2];
... | null | {"circuits": [], "gradients": []} | [
"IZIZIII",
"IZZIIII",
"IIZZIII",
"ZIIIZII",
"ZIIIIIZ",
"IIIZIZI",
"IZIIIII",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.971368 | [
0.11946290938922188,
-0.14025474323329767,
0.131483438205395,
-0.03387570142757737,
0.5470770345207931,
3.104593767706998,
-0.12735726849417672,
1.6687424363815369,
0.0013401616447158704,
0.34729561392901503,
0.14684603506337474,
1.0864241133634187,
0.11680855490484605,
-0.2085120972291135... | {
"n_parameters": 34,
"n_qubits": 7,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 53 |
4f4869ba4cf9bea66b96ad816525204d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [159, 143], "expectation_value": -97.1942513898527, "params": [-0.0023, -0.6418, -0.0021000000000000003, 0.7128, 1.0649, -0.0002, -0.0026000000000000003, -0.68, 0.07730000000000001, 0.5056, 0.4682, -0.2874, 1.0663, 0.0045000000000000005, 1.0664, -0.0012000000000000001, 1.0641, -0.0024000000000000002, 0.899, ... | 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(8) @ Z(2)) + 6.0 * (Z(8) @ Z(4)) + 6.0 * (Z(5) @ Z(8)) + 6.0 * (Z(6) @ Z(8)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(0) @ Z(6)) + 6.0 * (Z(7) @ Z(8)) + 6.0 * (Z(7) @ Z(5)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(3) @ Z(7)) + 6.0 * (Z(9) @ Z(5)) + 12.5 * Z(2) + -1.0 * Z(1) + 1.5 * ... | 18 | 10 | 3 | {"smallest_eigenvalues": [-104.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -92.5, "smallest_bitstrings": ["1101110000"], "largest_eigenvalue": 168.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.12469904915386375) q[0];
rz(-0.6773571580040274) q[0];
rx(0.12196626896779333) q[1];
rz(0.6471173310584761) q[1];
rx(1.067541449859903) q[2];
rz(-0.1567323881375945) q[2];
rx(-0.12236604501769432) q[3];
rz(-0.5989202145658385) q[3];
rx(0.2157264165362915) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIZIZII",
"IZIIIIIZII",
"IZIIIZIIII",
"IZIIZIIIII",
"IZIZIIIIII",
"IIIZZIIIII",
"IIIZIIIIIZ",
"IZZIIIIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IIZIIIZIII",
"ZIIIZIIIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIZIIII",
"IZIIIIIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIIIIIIIIZ"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
12.5,
-1,
1.5,
28,
15.5,
20,
-3.5,
18.5,
-4.5,
3.5
] | 0.972004 | [
0.12469904915386376,
-0.7063607273104521,
0.12196626896779333,
0.6471173310584761,
1.067541449859903,
-0.1567323881375945,
-0.12236604501769432,
-0.5989202145658385,
0.2157264165362915,
0.4182398750774718,
0.16997719900028377,
-0.5747573161900077,
1.1825725799115094,
0.12829677140508486,
... | {
"n_parameters": 84,
"n_qubits": 10,
"optimal_eigenvalue": -104.5,
"target_ratio": 0.97,
"target_value": -101.365
} | 8 |
ac36c5a153720f2afd43ce774542e80a | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capaci... | {"states": [29, 31], "expectation_value": -4.372957453020678, "params": null, "bitstrings": ["100010", "100000"], "total_optimization_steps": 49, "probabilities": [0.2979775772741875, 0.44049318025090617], "optimization_time": 43.755486488342285} | -0.25 * (Z(0) @ Z(1)) + -2.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(3) + 2.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 4 | {"smallest_eigenvalues": [-10.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.25, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.05068074801498348) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.9068776481257712) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.21807639072518945) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.8389376578690388) q[4];
cx q... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\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 \"stdgat... | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIZI",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZZIIII",
"IIZZII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
-0.25,
-2.25,
-1.5,
-2.5,
-0.75,
-1.5,
2,
-1,
-0.75,
-0.75,
-0.5,
-0.25,
-1.25,
2.5,
-0.5,
0
] | 0.672188 | [
0.05068074801498348,
-0.9068776481257712,
-0.21807639072518945,
-0.8389376578690388,
-0.5234317396873804,
1.2952058031180758,
-0.19869109614486527,
-0.03125778857127778,
-0.20889072827163999,
0.4804048469203415,
0.13591911593430336,
-0.9021481901189203
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -10.25,
"target_ratio": 0.97,
"target_value": -9.942499999999999
} | 256 |
1792168887968305674 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 3], [8, 6], [8, 2], [0, 5], [0, 4], [3, 7]]} | {"states": [387, 454], "expectation_value": -0.019104460892066244, "params": [[-0.0347], [0.046200000000000005]], "bitstrings": ["001111100", "000111001"], "total_optimization_steps": 10, "probabilities": [0.0020287677936667373, 0.0020287677936667373], "optimization_time": 1.2410688400268555} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(8) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(7) | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["111000110", "100100001", "000111001", "011011110", "010011011", "110000011", "001111100", "101100100"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.4731538219193558) q[0];
h q[1];
h q[2];
h q[3];
ry(-0.4731538219193558) q[3];
h q[4];
h q[5];
cx q[5], q[0];
ry(0.4731538219193558) q[0];
cx q[5], q[0];
ry(-0.18399283572395184) q[0];
cx q[4], q[0];
ry(0.18399283572395184) q[0];
cx q[4], q[0];
ry(-0.785634... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[6], q[8];
rz(x0) q[8];
cx q[6], q[8];
cx q[8], q[2];
rz(x0) q[2];
cx q[8], q[2];... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZI",
"ZIZIIIIII",
"ZIIIIIZII",
"IIIZIIIIZ",
"IIIIZIIIZ",
"IZIIIZIII",
"IIIIIZIII",
"IIIIIIIZI",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.972275 | [
-0.9463076438387116,
1.4725787691376182,
-0.3679856714479037,
1.4850492574333507,
-0.4941173696555057,
-0.057348736095403946,
0.1493155796514583,
-0.5408044414500048,
-0.5830343787069012,
-1.1611026530075084,
-0.5862479834430419,
-0.8455961651293837,
-0.40229869470802404,
0.210802518919088... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 47 |
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