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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
df4c9b00522dd4ee8987b90b3e70e7c4 | 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": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [146, 154], "expectation_value": -6.244879288223936, "params": [0.4998, 0.0008, 0.49820000000000003, 0.001, -0.0, -0.3052, 0.0016, -0.3095, 0.0315, 0.3262, 0.031200000000000002, 0.33690000000000003, 0.49960000000000004, 0.10160000000000001, 0.49710000000000004, 0.060700000000000004, 0.3552, -0.0037, 0.3593, ... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + -2.0 * Z(5) + -0.5 * Z(0) + -1.5 *... | 7 | 8 | 3 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["01100101", "00011101"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.4986322125716382) q[0];
rz(0.0789738708569967) q[0];
rx(-0.04310013940210018) q[1];
rz(-0.2570735047078494) q[1];
cx q[1], q[0];
rz(-0.20797956542212243) q[0];
cx q[1], q[0];
rz(1.6090441790888956) q[0];
ry(0.7789492988451902) q[0];
rz(-1.3420246354126246) q[0];
rx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x11;
input float[64] x12;
input float[64] x13;
inpu... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIZ",
"ZIIIIIIZ",
"IIZIIIZI",
"ZIIIIIZI",
"IIZIZIII",
"IIIIZIZI",
"IIZZIIII",
"ZIIZIIII",
"IIIZIIZI",
"IIZIIZII",
"IIIIZZII",
"IIIZIZII",
"ZZIIIIII",
"IIZIIIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIIIIZII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1.5,
-1.5,
-1,
-1.5,
-1,
0
] | 0.979381 | [
0.49863221257163826,
-0.1290056945651256,
-0.04310013940210018,
-0.2570735047078494,
-0.059418245093581956,
0.2749453503691875,
0.6216021964212386,
0.054114940049147714,
0.3509508280498489,
-0.10062711067699673,
0.0953510081672923,
0.2526680169230019,
0.5595142559549097,
0.0146648047021203... | {
"n_parameters": 107,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 5 |
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": 209.41291689872742} | 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 | 3 | {"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 |
2fe717ea46813ceed4568f553b83653e | 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": 2, "source": 0, "target": 6}, {"capacity": 2, "source": ... | {"states": [0, 1280], "expectation_value": -13.306146991884031, "params": [-0.0005, -0.0005, 0.6919000000000001, 0.6559, 0.2932, 0.1155, -0.22610000000000002, 0.2776, -0.0045000000000000005, -0.0013000000000000002, 0.0057, -0.0146, -0.004200000000000001, -0.0005, -0.0007, 0.0059, 0.0061, -0.0002, -0.040600000000000004,... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(8) @ Z(0)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(8)) + -0.75 * (Z(4) @ Z(8)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -1.5 * (Z(9) @ Z(4)) + -0.5 * (Z(10) @ Z(5)) + -0.25 * (Z(6) @ Z(... | 14 | 12 | 3 | {"smallest_eigenvalues": [-13.75, -13.75, -13.75, -13.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -12.75, "smallest_bitstrings": ["100000000000", "100000000011", "101011111111", "100000000001"], "largest_eigenvalue": 20.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.10037783299797398) q[0];
rz(pi/2) q[0];
ry(1.1400668059460353) q[1];
ry(0.8753161807609914) q[2];
ry(-0.027661627474493664) q[3];
ry(0.018704252865216008) q[4];
ry(0.0003882551840067519) q[5];
ry(0.0504035228060369) q[6];
ry(-0.11587343283268478) q[7];
ry(0.00321... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIZIIIIIIIZ",
"IIIIIIIIIZIZ",
"IIIIIIZIIIZI",
"IIIIIIZIIZII",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIZIIIIZIII",
"IIIZIIIZIIII",
"IIIIIIIZIZII",
"IIIIIIZZIIII",
"IIZIIIIZIIII",
"IZIIIIZIIIII",
"IIIIIZIIIZII",
"IIZIIZIIIIII",
"IIIZZIIIIIII",
"IIIIZZIIIIII",
"ZIZIIIIII... | [
-0.75,
-0.5,
-0.5,
-1,
-0.5,
-1,
2,
-1,
-0.75,
-1.25,
-0.5,
-1.5,
-0.5,
-0.25,
-0.75,
-1,
-0.75,
-1.25,
-1,
1.25,
-0.25,
0.75,
1,
-0.5,
0,
0,
-0.5,
0.5,
0.25,
-0.25,
-2.25
] | 0.970335 | [
-0.10037783299797398,
1.1400668059460353,
0.8753161807609914,
-0.027661627474493664,
0.018704252865216008,
0.0003882551840067519,
0.0504035228060369,
-0.11587343283268478,
0.0032174934639011277,
-0.10670020497638405,
0.3273303875223315,
0.014898746866576204,
-1.4673970412668809,
-0.0135953... | {
"n_parameters": 130,
"n_qubits": 12,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 68 |
eabc5a01649d5bc499596bd844e547e9 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 3, "so... | {"states": [16516, 49284], "expectation_value": -19.021572952961815, "params": [[[-0.3483, 0.0055000000000000005, 0.006, 0.0059], [0.5959, -0.007200000000000001, 0.4318, 0.0081], [-0.005, 0.5895, 0.0079, 0.5874], [-0.006500000000000001, 0.8267, 0.005, 0.0009000000000000001], [0.0037, 0.36310000000000003, 0.006200000000... | 0.5 * (Z(0) @ Z(7)) + 2.0 * (Z(8) @ Z(7)) + 1.0 * (Z(8) @ Z(0)) + 1.0 * (Z(1) @ Z(7)) + 0.8888888888888888 * (Z(1) @ Z(0)) + 2.0 * (Z(1) @ Z(8)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(8)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -1.0 * (Z(2) @ Z(8)) + -0.5 * (Z(12) @ Z(7)) + -1.0 * (Z(1... | 12 | 16 | 4 | {"smallest_eigenvalues": [-19.33333333333302], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.333333333332853, "smallest_bitstrings": ["0011111101111011"], "largest_eigenvalue": 74.6666666666668} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(0.2664069181067321) q[0];
ry(0.8865655202288814) q[1];
ry(0.04041040581954977) q[2];
ry(-0.1463087441347665) q[3];
ry(-0.0017122900369444215) q[4];
ry(0.05053747684794381) q[5];
ry(0.01584114424576765) q[6];
ry(-0.16220839314721258) q[7];
ry(0.8341087173554764) q[8]... | 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": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIIIIIIZ",
"IIIIIIIZZIIIIIII",
"IIIIIIIZIIIIIIIZ",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIZIIIIIIZI",
"IIIIIIIIZZIIIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIZIZIIIIII",
"IIIIIIIIIZIIIIZI",
"IIIIIIIIZIIIIZII",
"IIIIIIIZIIIIIZII",
"IIIZIIIIZIIIIIII",
"IIIZIIIZIIIIIIII",
"IIIZIII... | [
0.5,
2,
1,
1,
0.8888888888888888,
2,
-0.5,
-0.5,
-1,
-1,
-0.5,
-1,
-0.5,
-1,
0.5,
-1,
-2,
1,
2,
-0.5,
-1,
0.5,
1,
2,
-1,
-2,
0.8888888888888888,
1,
2,
1,
0.5,
1,
-0.5,
-0.5,
-1,
-0.5,
-1,
1,
2,
-1,
-1,
-2,
-1,
-2,
1,
0.5,
1,... | 0.972601 | [
0.2664069181067321,
0.8865655202288814,
0.04041040581954977,
-0.1463087441347665,
-0.0017122900369444215,
0.05053747684794381,
0.01584114424576765,
-0.16220839314721258,
0.8341087173554764,
0.05283698138380155,
0.04289513560780135,
0.13517469731113882,
0.7706414786879242,
0.256894633527048... | {
"n_parameters": 57,
"n_qubits": 16,
"optimal_eigenvalue": -19.33333333333302,
"target_ratio": 0.97,
"target_value": -18.75333333333303
} | 4 |
42fc1cab65130010b16c5206f9faaa99 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [23, 7], "expectation_value": -19.832801968549564, "params": [0.0741, 0.3009, 0.0012000000000000001, 0.2972, 0.042, -0.114, 0.39280000000000004, -0.1285, 0.4349, -0.0092, 0.5948, -0.0007, 0.5887, 0.0092, 0.5899, -0.0029000000000000002, 0.0666, 0.2977, -0.0057, 0.3034, 0.035500000000000004, -0.1534, 0.3374000... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 4 | 8 | 4 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.020585712478965273) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.020585712478965273) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.020585712478965273) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.020585712478965273) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
2.75,
-7.25,
-7,
-7.5,
-7,
-7,
-6.25,
-6.5,
-6.5
] | 0.972491 | [
0.020585712478965273,
-0.10740732213659304,
0.9806179744216011,
1.2066222500302057,
0.807373465491872,
-0.7383480177614887,
-0.583309434460934,
1.229770317245662,
0.029731332749984192,
-0.4028832613860345,
-0.11890009039048421,
0.19530480659012922,
0.3300174811368061,
-0.05473954150926055,... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 85 |
95f1851442711fded51a189a201b431f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capac... | {"states": [317, 305], "expectation_value": -2.3825331586253973, "params": [[-0.1363], [0.1476]], "bitstrings": ["1011000010", "1011001110"], "total_optimization_steps": 20, "probabilities": [0.002809501322254434, 0.0028995307433032523], "optimization_time": 2.767932891845703} | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -1.25 * (Z(1) @ Z(5)) + -0.25 * (Z(8) @ Z(2)) + -0.75 * (Z(8) @ Z(3)) + -0.5 * (Z(9) @ Z(2)) + 1.25 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(5)) + -1.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(8)) + -0.75 * (Z(4) @ Z(9)) + -0.5 * (Z(7) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-11.0, -11.0, -11.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.0, "smallest_bitstrings": ["1011001110", "1011000110", "1011000010"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(-0.3808126280514845) q[0];
h q[0];
rx(-3.8463905211... | OPENQASM 3.0;
include "stdgates.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[10] c;
qubit[10... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IIIIZIIZII",
"IIIIZIIIZI",
"IZIIIIIZII",
"IZIIIIZIII",
"ZIIIIIIZII",
"ZIIIIIIIIZ",
"ZIIIZIIIII",
"IIIIZZIIII",
"IZIIIZIIII",
"ZIIIIZIIII",
"IZZIIIIIII",
"IIZIIZIIII",
"IIZZIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIZIIIII"... | [
-0.5,
-0.5,
-0.5,
-0.25,
-1.25,
-0.25,
-0.75,
-0.5,
1.25,
-0.5,
-1.25,
-0.75,
-0.75,
-0.5,
-1,
-1,
0,
-0.25,
0.25,
-0.25,
-0.25,
-1.75,
-0.5,
3.25,
-1.5,
1
] | 0.136364 | [
-0.3808126280514845,
-0.000003846390521156374,
0.5141653900468287,
-0.8893030588267119,
1.3435784643169473,
0.36944491026120685,
-0.7575214681870445,
0.3268659323675549,
4.096742838147073e-9,
-0.4572019604458022,
-0.014378883664465011,
0.1440816665429152,
1.5707972995584614,
0.182018350917... | {
"n_parameters": 29,
"n_qubits": 10,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 500 |
979e20fa342d097a41a2cd99b004ee1f | 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": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [86, 104], "expectation_value": -0.060879780869023764, "params": [[0.0318], [-0.0351]], "bitstrings": ["0101001", "0010111"], "total_optimization_steps": 10, "probabilities": [0.00803912970354831, 0.008041214349598742], "optimization_time": 1.329911231994629} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * Z(6) + 0.0 * Z(0) + -1.0 * Z(1) + -1.5 * Z(4) + -1.5 * Z(5) + -1.0 * Z(3) + 0.0 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0101011", "0010111", "0101101", "0001111"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.01639940190324564) q[0];
rz(-0.09112310478793795) q[0];
rx(0.14383958951193995) q[1];
rz(0.3355433591116594) q[1];
cx q[1], q[0];
rz(0.1946470144932977) q[0];
cx q[1], q[0];
rx(-0.016399401903245635) q[0];
rz(-0.5314692985240015) q[0];
rz(0.23933950950538713) q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[6], q[0];
rz(x0) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(x0) q[1];
cx q[6], q[1];
cx q[6], q[4];
rz(... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZ",
"ZIIIIZI",
"ZIZIIII",
"IIZIIZI",
"ZZIIIII",
"IZIIIZI",
"IZZIIII",
"IIZZIII",
"IZIZIII",
"IIIZZII",
"ZIIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"IIIZIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-1.5,
-1.5,
-1,
0
] | 0.9732 | [
-0.01639940190324564,
0.10352390970535925,
0.14383958951193995,
0.3355433591116594,
0.3078576328110699,
0.5764728574284009,
1.6457984941502548,
-0.10514791409987462,
0.05650991192769124,
0.5532852838672673,
1.2976874841650705,
-0.14977956404263973,
1.2689160166224644,
0.07300354699063141,
... | {
"n_parameters": 54,
"n_qubits": 10,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 44 |
6848cbb52cbdecd61a5c00f49303e646 | 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": [1317, 1315], "expectation_value": -110.30019623422484, "params": [[[1.5918, 0.0108], [-0.0024000000000000002, 0.006500000000000001], [1.5692000000000002, 1.1208], [0.0024000000000000002, 1.1154], [0.0025, 0.0023], [1.4801, 1.1089], [0.0071, 1.1097000000000001], [0.0649, -0.443], [-0.2997, 0.7305], [0.6976, ... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(2) @ Z(0)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(8) @ Z(0)) + 7.5 * (Z(8) @ Z(2)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10) @ Z(1)) + 7.5 * (Z(10) @ Z(8)) + 7.5 * (Z(10) @ Z(9)) + 2.0 * Z(1) + 16.0 * Z(0) + 17.0 * Z(2) + -6.0 * Z(3) + -4.0 * Z(6) + 2.5 * Z(5) + 15.5 * Z(8) + 7... | 15 | 11 | 2 | {"smallest_eigenvalues": [-118.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -105.5, "smallest_bitstrings": ["01011011100"], "largest_eigenvalue": 166.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.630574533346359) q[0];
ry(0.07805640317484272) q[1];
ry(1.4982628085518623) q[2];
ry(-0.0028253425951503194) q[3];
ry(-0.020327583776933108) q[4];
ry(1.3066845601953783) q[5];
ry(-0.0373988378353249) q[6];
ry(0.4189668718810873) q[7];
ry(-0.44242806627459624) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIZZIIIII",
"IIZIIIIIIIZ",
"IIZIIIIIZII",
"IZZIIIIIIII",
"ZIIIIIIIIZI",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IZIIIIIIIII",
"ZIIIIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
2,
16,
17,
-6,
-4,
2.5,
15.5,
7,
13.5,
-14.5,
-10.5
] | 0.971168 | [
1.630574533346359,
0.07805640317484272,
1.4982628085518623,
-0.0028253425951503194,
-0.020327583776933108,
1.3066845601953783,
-0.0373988378353249,
0.4189668718810873,
-0.44242806627459624,
0.5529981364663344,
1.8340763487372846,
-0.19720945861062483,
-0.17907435548925335,
1.23378783426608... | {
"n_parameters": 39,
"n_qubits": 11,
"optimal_eigenvalue": -118.5,
"target_ratio": 0.97,
"target_value": -114.945
} | 26 |
7bc4dde9a09d0b94c5097b219891d81a | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [57019, 57015], "expectation_value": -19.287807447236556, "params": null, "bitstrings": ["0010000101000100", "0010000101001000"], "total_optimization_steps": 100, "probabilities": [0.1380348713554944, 0.6661905481251051], "optimization_time": 802.9686651229858} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.25 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(... | 1 | 16 | 3 | {"smallest_eigenvalues": [-19.999999999999932], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999893, "smallest_bitstrings": ["0010000101001000"], "largest_eigenvalue": 68.00000000000003} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rz(-0.8856201491506983) q[0];
ry(0.20607187143120437) q[0];
rz(1.691443220073766) q[0];
rz(1.9404906187072166) q[1];
ry(0.12101153113441158) q[1];
rz(-1.8772538795087437) q[1];
rz(-2.137783534785648) q[2];
ry(0.08595900488246716) q[2];
rz(1.6840356586029337) q[2];
rz(0.... | null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 0}, {"source": 3, "target": 2}, {"source": 3, "target": 0}, {"source": 2, "target": 0}]}} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\nry(1.5709) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3... | [
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIZIIZIII",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZZIIIIII",
"IIIIIIIIIIIZZIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
... | 0.987235 | [
0.11953274834359354,
0.2854334628168601,
-0.11213716823678,
0.2175735915324961,
0.058537607426864216,
-0.2041489905535785,
1.195421164250731,
-0.0853700569336958,
0.21361350790414543,
0.08320735516977537,
-0.038044942888873196,
-0.02371278444846299,
-0.1628380576660834,
0.9476996835334291,... | {
"n_parameters": 22,
"n_qubits": 4,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 5 |
-1187394159903664230 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[1, 2], [0, 3, 4], [2, 4], [2, 3], [0, 1, 4], [1, 3, 4]]} | {"states": [14, 11], "expectation_value": -2.1623633967602243, "params": null, "bitstrings": ["10001", "10100"], "total_optimization_steps": 19, "probabilities": [0.001139361255264534, 0.9975098098681684], "optimization_time": 15.420032501220703} | 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.3333333333333333 * (Z(4) @ Z(3)) + 0.0 * Z(2) + 0.33333333333333... | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.1666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["10100"], "largest_eigenvalue": 4.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.24991990398310582) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.12031197209628863) q[0];
cx q[1], q[0];
h q[3];
cx q[2], q[3];
rz(-0.24991990398310582) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.12031197209628863) q[3];
cx q[1], q[... | 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(1.4449) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... | [
"IIZZI",
"IIIZZ",
"IZZII",
"IZIZI",
"IZIIZ",
"ZIZII",
"ZIIZI",
"ZIIIZ",
"ZZIII",
"IIZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII"
] | [
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0,
0.33333333333333326,
0.3333333333333333,
0.33333333333333326,
0.4999999999999999
] | 0.490047 | [
-0.24991990398310582,
0.12031197209628863,
-0.6526003263977438,
1.5325747671257264,
1.0404884341942093
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -2.1666666666666665,
"target_ratio": 0.97,
"target_value": -2.1016666666666666
} | 162 |
7549229119702457988 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 3, 6, 9, 10], [9, 4, 5], [10, 5], [0, 2, 6, 9, 11], [8, 3, 5], [1, 3, 5, 6, 7], [8, 3, 11], [2, 3, 4, 5, 6], [0, 4, 7, 10, 11], [9, 5, 7], [1, 4, 6, 8, 9, 11], [1, 2, 4], [0, 9, 2, 7], [0, 1, 2, 6, 8], [8, 9, 2, 7], [0, 3, 11], [0, 1, 3, 5, 7], [2, 3,... | {"states": [2671, 3695], "expectation_value": -4.318902372973482, "params": [1.5768, 1.5716, 0.8671000000000001, 0.8601000000000001, 1.1004, 1.0696, 0.1786, 0.18080000000000002, 0.1875, 0.1804, 1.5712000000000002, 1.5661, 1.5718, 1.5738, 0.0887, 0.09290000000000001, 1.5704, 1.5756000000000001, 1.5655000000000001, 1.572... | 0.13333333333333333 * (Z(4) @ Z(5)) + 0.18333333333333335 * (Z(8) @ Z(5)) + 0.23333333333333334 * (Z(8) @ Z(4)) + 0.05 * (Z(11) @ Z(5)) + 0.26666666666666666 * (Z(11) @ Z(4)) + 0.13333333333333333 * (Z(11) @ Z(8)) + 0.08333333333333334 * (Z(2) @ Z(5)) + 0.08333333333333334 * (Z(2) @ Z(4)) + 0.08333333333333334 * (Z(2) ... | 13 | 12 | 1 | {"smallest_eigenvalues": [-4.7333333333333325], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.6000000000000005, "smallest_bitstrings": ["000110010000"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.5130013798049515) q[0];
rz(-0.02342287400121399) q[0];
ry(1.0199850809890911) q[1];
ry(1.5531467212009058) q[2];
ry(0.20378075948016602) q[3];
ry(0.05766981357909668) q[4];
ry(1.4824515295063467) q[5];
ry(1.4352626719619412) q[6];
ry(-0.06988117396168923) q[7];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZIIII",
"IIIZIIZIIIII",
"IIIZIIIZIIII",
"ZIIIIIZIIIII",
"ZIIIIIIZIIII",
"ZIIZIIIIIIII",
"IIIIIIZIIZII",
"IIIIIIIZIZII",
"IIIZIIIIIZII",
"ZIIIIIIIIZII",
"IIIIIZZIIIII",
"IIIIIZIZIIII",
"IIIZIZIIIIII",
"ZIIIIZIIIIII",
"IIIIIZIIIZII",
"IIIIZIZIIIII",
"IIIIZIIZIIII",
"IIIZZIIII... | [
0.13333333333333333,
0.18333333333333335,
0.23333333333333334,
0.05,
0.26666666666666666,
0.13333333333333333,
0.08333333333333334,
0.08333333333333334,
0.08333333333333334,
0.05,
0.08333333333333334,
0.25,
0.11666666666666667,
0.19999999999999998,
0.08333333333333334,
0.31666666666666... | 0.974004 | [
1.5130013798049515,
1.0199850809890911,
1.5531467212009058,
0.20378075948016602,
0.05766981357909668,
1.4824515295063467,
1.4352626719619412,
-0.06988117396168923,
1.672604709598987,
1.669630626423243,
1.6732746304692727,
1.445715915656371,
-0.04684574800242798,
0.2311544116687516,
-0.02... | {
"n_parameters": 46,
"n_qubits": 12,
"optimal_eigenvalue": -4.7333333333333325,
"target_ratio": 0.97,
"target_value": -4.591333333333332
} | 8 |
9e72b7dd0d69a46b7f007aaed5517323 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}]} | {"states": [25, 26], "expectation_value": -3.624930677546186, "params": null, "bitstrings": ["100110", "100101"], "total_optimization_steps": 26, "probabilities": [1.642178064829427e-05, 0.9999653517514536], "optimization_time": 27.066534996032715} | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(1)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(3) @ Z(1... | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.625, "smallest_bitstrings": ["100101"], "largest_eigenvalue": 5.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(1.5706415412178192) q[0];
ry(0.17738065745091058) q[0];
rz(-1.2289331769937306) q[0];
rz(-2.0064394391485636) q[1];
ry(0.05195164644631841) q[1];
rz(1.6158226668893017) q[1];
rz(-1.4591808629773537) q[2];
ry(0.1438680830206584) q[2];
rz(1.3823592347405116) q[2];
rz(-... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZZI",
"IZIIZI",
"IIZIZI",
"IZIZII",
"IIZZII",
"IZZIII",
"IZIZZI",
"IIZZZI",
"IZZIZI",
"IZZZII",
"IZZZZI",
"ZIIZII",
"ZZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
-1,
-0.125,
-0.125,
-0.125,
-0.625,
-0.5
] | 0.981301 | [
0.1774500647835066,
0.3748855468174612,
0.04098849267156553,
-0.24415803312160173,
-0.24801868974247307,
-0.151177436467156,
1.6175791763168208,
-0.03242731533050097,
1.9188194167141894,
0.05578166470394768,
1.8647875584561593,
-0.06973403478083848,
-0.0000745897025684443,
-0.0331747529448... | {
"n_parameters": 24,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 16 |
db784e556d41a28cc9d16f62f2178a6a | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4},... | {"states": [2032, 2047], "expectation_value": -1.3096376234699423, "params": [[-0.0337], [0.0449]], "bitstrings": ["00000001111", "00000000000"], "total_optimization_steps": 10, "probabilities": [0.0006671936783438328, 0.0006743893834790234], "optimization_time": 0.944922924041748} | -2.0 * (Z(0) @ Z(3)) + -3.5 * (Z(4) @ Z(3)) + -3.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + -3.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -3.5 * (Z(2) @ Z(4)) + -1.5 * (Z(2) @ Z(1)) + -2.5 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -3.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-34.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.5, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 29.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.79715616968297) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.5309146256352913) q[4];
cx q[3], q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.16724948337585963) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.16724948337585963)... | 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[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[3], q[0];
rz(x0) q[0];
c... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IIIIIIZZIII",
"IIIIIIZIIIZ",
"IIIIIIIZIZI",
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIIIIIIZZII",
"IIIIIIIIZIZ",
"IIIIIIZIZII",
"IIIIIIIIZZI",
"IIIIZIIZIII",
"IIIIZIIIIIZ",
"IIIIZIZIIII",
"IIIIZIIIIZI",
"IIIIZIIIZII",
"IIIIIZIZIII",
"IIIIIZIIIIZ",
"IIIIIZZIIII",
"IIIIIZIII... | [
-2,
-3.5,
-3.5,
0.5,
0.5,
-3.5,
0.5,
0.5,
-3.5,
-1.5,
-2.5,
1,
-3.5,
0.5,
0.5,
1,
0.5,
-3.5,
0.5,
0.5,
-2,
-2,
-2.5,
0.5,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
0.5,
-1.5,
1
] | 0.53924 | [
0.79715616968297,
0.5309146256352913,
0.16724948337585963,
0.7735541608527189,
0.6889658234023546,
0.32755239391896107,
0.9980181675396199
] | {
"n_parameters": 7,
"n_qubits": 11,
"optimal_eigenvalue": -34.5,
"target_ratio": 0.97,
"target_value": -33.464999999999996
} | 179 |
0541faf635a6399f550a5b5935bfa17a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [5, 33], "expectation_value": -3.9741067800335346, "params": null, "bitstrings": ["111010", "011110"], "total_optimization_steps": 17, "probabilities": [0.07397901535986358, 0.9005745124138398], "optimization_time": 10.300607919692993} | 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(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(2) | 1 | 6 | 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": ["010111", "111010", "111001", "100111", "011110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2586347423333518) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.2586347423333518) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2586347423333518) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(0.2586347423333518) q[2];
cx q[3], q[2];
rz... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"ZIIIZI",
"ZZIIII",
"IIZZII",
"IZIZII",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1.5,
-1,
-1
] | 0.849143 | [
0.2586347423333518,
-0.9522193741903392,
-0.4483492681819256,
-1.0023321824572908,
0.8794944450881496,
-1.7734914868935794,
-1.1441282434786142,
-0.46313879118016416
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 241 |
f9cb41d5496b3ed030d08192c7626a1d | 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": [119, 55], "expectation_value": -80.63003153080334, "params": [[[1.5751000000000002, 0.0021000000000000003], [0.35000000000000003, -0.0018000000000000002], [-0.0021000000000000003, -0.0026000000000000003], [0.7285, 0.339], [1.4047, 0.0134], [1.7930000000000001, 0.0531], [0.028300000000000002, 0.3806], [0.155... | 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(0) @ Z(7)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(8) @ Z(0)) + 7.0 * (Z(9) @ Z(7)) + 7.0 * (Z(9) @ Z(0)) + 7.0 * (Z(9) @ Z(8)) + 4.5 * Z(3) + 8.5 * Z(4) + 8.0 * Z(5) + 2.5 * Z(6) + 13.0 * Z(7) + 11.0 * Z(0) + 17.0 * Z(8) + 12.5 *... | 15 | 10 | 2 | {"smallest_eigenvalues": [-90.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -87.5, "smallest_bitstrings": ["1111001000"], "largest_eigenvalue": 168.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(0.17689676348295683) q[0];
h q[0];
rx(-1.4607229867... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZZIII",
"IIIIZIZIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIZIIIIIIZ",
"IZZIIIIIII",
"IZIIIIIIIZ",
"ZIZIIIIIII",
"ZIIIIIIIIZ",
"ZZIIIIIIII",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"IIIIIIIIIZ",
"IZIIIIIIII",
"ZIIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIZII"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
4.5,
8.5,
8,
2.5,
13,
11,
17,
12.5,
-9.5,
-12
] | 0.232044 | [
0.17689676348295683,
-1.4607229867073202e-7,
0.09078299340420398,
-2.3174891530202286e-7,
-0.27877628821417544,
-4.743988959568662e-7,
1.570796407914766,
0.936733132351216,
-0.000001039692320622943,
1.2672240611660714,
0.0000021525304946552194,
-0.09078328626420283,
-0.2062517335982132,
0.... | {
"n_parameters": 35,
"n_qubits": 10,
"optimal_eigenvalue": -90.5,
"target_ratio": 0.97,
"target_value": -87.785
} | 500 |
3be62d904e3c491ed9eeb750b53bffe0 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 3, "source": 0, "t... | {"states": [110, 109], "expectation_value": -21.81200979113094, "params": [[-0.0236, -0.009000000000000001, -0.009000000000000001], [0.046, 0.054400000000000004, 0.0626]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.013152808872245592, 0.013685604920718585], "optimization... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 6.0 * Z(0) + 18.0 * ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 149.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.21168570971743653) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.21168570971743653) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.21168570971743653) q[4];
cx q[1], q[4];
cx q[4], q[2];
rz(-0.21168570971743653) q[2];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIZI",
"IIIIIZIZ",
"IIIZIZII",
"IIIZZIII",
"IIIIZZII",
"IIZIIIIZ",
"IIZIIZII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
11,
6,
18,
19,
3,
14.5,
3,
16
] | 0.973688 | [
-0.21168570971743653,
1.9308856659451843,
-0.7604456361294802,
2.2336652977818137,
0.9512505163062746,
-1.0949576031587098,
1.4022228748807728,
0.4690458748432811,
-0.3776214951120504,
0.21283364112687017,
-0.12348753682552199,
-0.5123941432253454,
-0.4469842718237369,
0.846666572969099,
... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -71,
"target_ratio": 0.97,
"target_value": -68.87
} | 46 |
adf83a7a772b7f772a66d54f36fd7522 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [128, 127], "expectation_value": -6.30626214825011, "params": [[[-0.0014, -0.2308], [-0.0064, -0.0015], [0.0026000000000000003, -0.0027], [0.0022, -0.0027], [0.0005, -0.0027], [-0.0021000000000000003, -0.0026000000000000003], [-0.0018000000000000002, 0.1014], [1.6566, 0.0021000000000000003]], [[0.19490000000... | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z... | 15 | 8 | 2 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.4434130568765927) q[0];
h q[1];
ry(0.06002088832999257) q[1];
h q[2];
ry(0.20888663163693805) q[2];
h q[3];
cx q[3], q[1];
ry(-0.06002088832999257) q[1];
cx q[3], q[1];
ry(1.4692332172117415) q[1];
ry(1.40335167153491) q[3];
h q[4];
ry(0.514467726155474) 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",
"IIIIZIZI",
"IIIIZIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIZIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZZIIIIII",
"IIZIIIZI",
"IIZIZIII",
"IZZIIIII",
"IIZIIZII",
"IIIZZIII",
"IZIZIIII",
"ZIIZIIII",
"IIIZIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII",
"IIZIIII... | [
-0.25,
-1,
-0.25,
-1,
-0.25,
-0.5,
-0.5,
1,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
0,
1,
-0.25,
-0.5,
0.25,
0
] | 0.970149 | [
1.486113011210929,
0.12004177665998514,
1.40335167153491,
1.4692332172117415,
1.028935452310948,
1.535224711760082,
-0.8868261137531854,
0.4177732632738761,
1.2979805877816588,
0.3664680005410001,
-0.4998226785072861,
0.15189024077444385,
0.4825016790234395,
0.27013092329179234,
0.016721... | {
"n_parameters": 54,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 51 |
-5915888265279990789 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 3, 5, 6, 7, 8], [8, 1, 4], [0, 1, 2, 3, 7, 8], [4, 6], [0, 1, 6], [8, 1, 5, 7]]} | {"states": [199, 167], "expectation_value": -0.6752673999556315, "params": [[0.3528], [-0.37260000000000004]], "bitstrings": ["100111000", "101011000"], "total_optimization_steps": 40, "probabilities": [0.00495306565253113, 0.004953065652531131], "optimization_time": 34.951945066452026} | 0.06666666666666667 * (Z(2) @ Z(3)) + 0.03333333333333333 * (Z(5) @ Z(3)) + 0.03333333333333333 * (Z(5) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(3)) + 0.03333333333333333 * (Z(6) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(5)) + 0.06666666666666667 * (Z(7) @ Z(3)) + 0.06666666666666667 * (Z(7) @ Z(2)) + 0.11666666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.8166666666666669], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8166666666666664, "smallest_bitstrings": ["101011000"], "largest_eigenvalue": 5.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.018545554605592228) q[0];
rz(1.7203316691976251) q[0];
rx(2.0954256661448523) q[1];
rz(-0.017843438885355643) q[1];
cx q[1], q[0];
ry(-0.0003384898141880308) q[0];
cx q[1], q[0];
ry(0.15400142271500344) q[0];
rz(-1.4884057028300448) q[0];
rx(1.1743440144497272) 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... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZII",
"IIIZIZIII",
"IIIZIIZII",
"IIZIIZIII",
"IIZIIIZII",
"IIZZIIIII",
"IZIIIZIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIZIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIZIZI",
"IIIIIIZZI",
"IIIZIIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"... | [
0.06666666666666667,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.06666666666666667,
0.06666666666666667,
0.11666666666666667,
0.03333333333333333,
0.06666666666666667,
0.06666666666666667,
0.11666666666666667,
0.033333333333333... | 0.978315 | [
-0.018545554605592224,
0.14953534240272837,
2.0954256661448523,
-0.017843438885355643,
2.3941156860882233,
-0.46629678575701766,
1.2765435325975911,
-0.18402664527216545,
-0.016094465676459828,
1.6175788770249673,
0.10555033195405507,
-0.9570511775596904,
1.4995347954929548,
0.000676979628... | {
"n_parameters": 42,
"n_qubits": 9,
"optimal_eigenvalue": -1.8166666666666669,
"target_ratio": 0.97,
"target_value": -1.7621666666666669
} | 1 |
eaf152c9366c1fc70b9994ec462b6b4c | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 5}, {"weight": 19, "source": 0, "target": 2}, {"weight": 12, "source": 0, "target": 3}, {"weight": 1... | {"states": [123, 122], "expectation_value": -16.148741589341082, "params": [[-0.0381, -0.0081, -0.0219], [0.057100000000000005, 0.0287, 0.0357]], "bitstrings": ["10000100", "10000101"], "total_optimization_steps": 10, "probabilities": [0.010370238258413576, 0.012301626722701095], "optimization_time": 6.228045701980591} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 167.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.6888090260409325) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.6888090260409325) q[3];
cx q[2], q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.6888090260409325) q[1];
cx q[2], q[1];
rz(0.6888090260409325) q[3];
cx q[0], q[3];
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": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIIZII",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
16.5,
8.5,
16.5,
20.5,
12.5,
5,
20.5,
7.5
] | 0.97417 | [
0.6888090260409325,
-0.8365933516710795,
0.4055984428236141,
-0.5984647884441731,
0.6289659276331325,
0.03651754152469934,
-0.5975771749548225,
-0.20606642446438989,
0.7006882864312995,
-0.769960966506855,
-1.1910601522991142,
-0.06878545903780295,
-0.25779646726100014,
0.6591243819959086,... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 36 |
6454289479109820289 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 5, 6], [0, 1, 2, 3, 4], [0, 2, 3, 4, 6], [2, 5], [0, 1, 2, 6], [1, 2, 3, 6], [0, 3, 5]]} | {"states": [120, 89], "expectation_value": -0.05356160866881865, "params": [[-0.0627], [0.0728]], "bitstrings": ["0000111", "0100110"], "total_optimization_steps": 10, "probabilities": [0.008181978953066268, 0.008181978953066271], "optimization_time": 2.5397491455078125} | 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.13333333333333333 * (Z(0) @ Z(1)) + 0.13333333333333333 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.21666666666666667 * (Z(2) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(6... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.7333333333333332, -1.7333333333333332], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.6499999999999997, "smallest_bitstrings": ["0100110", "0000111"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(1.3707544257720932e-07) q[1];
cx q[5], q[1];
h q[6];
cx q[5], q[6];
rz(1.3707544257720932e-07) q[6];
cx q[5], q[6];
cx q[1], q[6];
cx q[5], q[0];
rz(1.3707544257720932e-07) q[0];
cx q[5], q[0];
cx q[5], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IZIIIZI",
"ZZIIIII",
"ZIIIIZI",
"IZIIIIZ",
"IIIIIZZ",
"ZIIIIIZ",
"IZIIZII",
"IIIIZZI",
"ZIIIZII",
"IIIIZIZ",
"IZIZIII",
"IIIZIZI",
"ZIIZIII",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"ZIZIIII",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIIIIZ",
"III... | [
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.13333333333333333,
0.13333333333333333,
0.5,
0.21666666666666667,
0.21666666666666667,
0.18333333333333335,
0.16666666666666666,
0.13333333333333333,
0.13333333333333333,
0.26666666666666666,
0.183333333... | 0.867895 | [
1.3707544257720932e-7,
-1.5707963793445128,
-4.364266535857259e-8,
-3.141592596204994,
3.3866366968305326e-8,
5.556959744775206e-8,
-2.953736296135427e-10,
6.313865411771903e-8,
1.3841139817724032e-8,
1.0501089542114353e-7,
-1.5707962525481187,
1.5707964923618771,
1.5707963222928114,
1.270... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -1.7333333333333332,
"target_ratio": 0.97,
"target_value": -1.6813333333333331
} | 398 |
839e49943c280a605024f1eaa388ffdd | min_cut | 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": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capaci... | {"states": [0, 1], "expectation_value": -4.612407800570806, "params": [[[0.0066, 0.18180000000000002], [0.004, 0.3019], [0.0012000000000000001, 0.30910000000000004], [0.0008, 0.3095], [0.0009000000000000001, 0.24400000000000002], [0.4021, 0.0026000000000000003]], [[-0.0021000000000000003, 0.2506], [-0.0033, 0.178000000... | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + 1.5 * (Z(5) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + 1.5 * Z(5) + -1.0 * Z(3) + 0.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.610696988332422) q[0];
h q[1];
ry(-1.610696988332422) q[1];
ry(-0.008287823470105224) q[2];
rz(-pi) q[2];
rz(-pi) q[3];
ry(-0.08573910863688183) q[3];
rz(-pi) q[4];
ry(-0.053813276033384) q[4];
h q[5];
ry(1.5055160025387713) q[5];
cx q[5], q[4];
ry(0.11911... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"ZIIIIZ",
"IIZIZI",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
-0.75,
-0.25,
-0.5,
1.5,
-1,
-0.5,
0.5,
-0.25,
-0.75,
1.5,
-1,
0
] | 0.997269 | [
1.5055160025387713,
-1.610696988332422,
-1.5348557413287611,
-1.690543994376932,
-1.50548970354966,
-0.23823979855724126,
0.06801711789030701,
-0.05530552399206049
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
4e9bb463668696cd18bf8a38f6452359 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 7}, {"weight": 19, "source": 1, "target": 7}, {"weight": 15, "sourc... | {"states": [457, 329], "expectation_value": -41.02917373361528, "params": [[[0.9989, 0.0021000000000000003], [0.7805000000000001, 0.0935], [0.9966, 0.0015], [-0.0043, -0.5387000000000001], [0.0023, 0.7514000000000001], [0.9989, -0.0015], [0.7794000000000001, 0.1134], [-0.0012000000000000001, -0.5799000000000001], [1.00... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(5) @ Z(6)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(8) @ Z(7)) + 3.5 * Z(1) + 3.0 * Z(0) + 5.5 * Z(... | 1 | 9 | 2 | {"smallest_eigenvalues": [-69.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.0, "smallest_bitstrings": ["010110110"], "largest_eigenvalue": 83.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(1.4275477826868839) q[0];
ry(3.1072647989255886) q[0];
rz(-1.9584941190349097) q[0];
rz(1.580884296726893) q[1];
ry(0.29616748678870974) q[1];
rz(-2.0084919234279006) q[1];
rz(-1.336914007458443) q[2];
ry(2.9131383911837077) q[2];
rz(1.2975190357496649) q[2];
rz(-1.7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IIZIIIIZI",
"IIZIIIZII",
"IIZZIIIII",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIIIIIZII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
3.5,
3,
5.5,
-7.5,
3,
-3,
-8.5,
5,
-14
] | 0.97094 | [
1.7549612766258493,
-0.005018604168837454,
0.3021221053732418,
-0.45824654390411623,
1.5606626805044568,
-0.05396050212611825,
-0.02272706070719549,
-0.14332904892904205,
0.08093925786045797,
0.8409572726844178,
0.19256846120943777,
-0.10585450924700424,
0.19463468399090025,
-0.18896097467... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -69,
"target_ratio": 0.97,
"target_value": -66.92999999999999
} | 19 |
ac7de9b534c44f645a9242250b63cfd7 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 5}, {"weight": 1, "source": 2, "target... | {"states": [39322, 22938], "expectation_value": -2.005469012774527, "params": [[[3.1397, 0.009300000000000001], [1.6216000000000002, 0.0078000000000000005], [3.1397, 0.0059], [-1.2184000000000001, 0.0049], [3.1384000000000003, 0.0088], [0.0015, 0.009600000000000001], [3.1397, 0.0095], [0.0022, 0.008], [3.1392, 0.008700... | 0.25 * (Z(0) @ Z(1)) + 8.680555555555556e-05 * (Z(2) @ Z(0)) + 8.680555555555556e-05 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00013020833333333333 * (Z(4) @ Z(0)) + -0.00078125 * (Z(4) @ Z(2)) + 0.00013020833333333333 * (Z(5) @ Z(1)) + -0.00078125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0009548611111111111 * (Z(6... | 2 | 16 | 1 | {"smallest_eigenvalues": [-2.011284722222176], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.011284722222168, "smallest_bitstrings": ["1010011001100101"], "largest_eigenvalue": 2.0133680555555253} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.617968218429954) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.0053545861736086255) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.0053545861736086255) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(1.617968218429954) q[3];
cx q[2], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"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,
0.00008680555555555556,
0.00008680555555555556,
0.25,
0.00013020833333333333,
-0.00078125,
0.00013020833333333333,
-0.00078125,
0.25,
-0.0009548611111111111,
0.00017361111111111112,
0.00026041666666666666,
-0.0009548611111111111,
0.00017361111111111112,
0.00026041666666666666,
0.... | 0.977548 | [
1.617968218429954,
-0.0053545861736086255,
-0.0964580296980281,
-0.03486239147249811,
0.02673145606926181,
-0.007996768091457003,
-0.08882940487947968,
-0.1440514104052954,
-0.7662011656635389
] | {
"n_parameters": 9,
"n_qubits": 16,
"optimal_eigenvalue": -2.0112847222221815,
"target_ratio": 0.97,
"target_value": -1.950946180555516
} | 28 |
3012e1b6018e3f767ff12c1a3a3c35a1 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [3, 35], "expectation_value": -3.5233306665873423, "params": [[[0.8096, -0.0023], [0.8006000000000001, 0.0006000000000000001], [0.0002, 0.003], [-0.0019, 0.0031000000000000003], [-0.0054, -0.0843], [0.8031, 0.5829], [-0.0195, 0.7759]], [[0.8094, -0.005], [0.8068000000000001, 0.005], [0.0029000000000000002, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -1.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(5) | 15 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1011100", "1001101", "1100011", "0111100"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.017048650774160467) q[0];
rz(-pi) q[0];
h q[1];
ry(1.428101949963524) q[1];
h q[2];
ry(-0.5585956640176606) q[2];
h q[3];
ry(-1.513638845189437) q[3];
rz(-pi) q[4];
ry(-0.03029958733089709) q[4];
h q[5];
ry(1.5357352680083305) q[5];
h q[6];
cx q[6], q[2];
ry(0.558... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"IZIZIII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-1.5,
-1,
-1,
-0.5
] | 0.996101 | [
-1.513638845189437,
-1.5712238897082784,
-1.4295544274646308,
1.5357352680083305,
1.428101949963524,
-1.1171913280353212,
0.7490514998734579,
-0.29846349854310816,
0.45238629368725597,
-0.44128023792692567,
0.31667933370845947,
-0.25392485755588445,
-0.24838649711221067,
0.1534772811997058... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
5a12fc3b9ebd59a3b68795f0bd90935e | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [13, 50], "expectation_value": -0.5421482406258145, "params": [[-0.0613, -0.0597], [0.0727, 0.07010000000000001]], "bitstrings": ["110010", "001101"], "total_optimization_steps": 10, "probabilities": [0.020172567056101483, 0.022324235421500572], "optimization_time": 4.212572813034058} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -1.0 * Z(1) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["001101"], "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(1.1435948285215511e-07) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(1.1435948285215511e-07) q[1];
cx q[2], q[1];
rz(-0.5698699266786225) q[2];
rx(0.6578008209073697) q[2];
h q[3];
cx q[0], q[3];
rz(1.1435948285215511e-07) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"IIZIZI",
"ZIIIZI",
"IZZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
-1.5,
-1,
-0.5
] | 0.777778 | [
1.1435948285215511e-7,
-0.5698699266786227,
0.8976760148695336,
0.858764150438184,
0.6578008209073697,
-2.2179312215672304e-7,
-0.7323750322594127,
-0.1837825357866761,
-0.09561625248230032,
0.3664649548078836,
2.7031261787381847e-7,
-0.4507353837506744,
1.1904463292135272,
1.1313235119654... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 397 |
6acf208e4a7576448df3aac23e7aee84 | 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": [697, 689], "expectation_value": -83.73450045634472, "params": [0.46240000000000003, 0.3436, 0.8981, 0.1346, 0.045000000000000005, 0.5966, 0.9014000000000001, 0.2466, 0.41290000000000004, 0.3986, 0.8938, 0.0182, 0.8997, 0.1237, 0.4665, 0.2378, 0.0017000000000000001, 0.5377000000000001, 0.0029000000000000002,... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(6) @ Z(0)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(10) @ Z(7)) + 6.5 * (Z(9) @ Z(10)) + 5.0 * Z(0) + 6.5 * Z(1) + 9.5 * Z(3) + -1.5 * Z(2) + 4.0 * Z(4) + 16.5 * Z(5... | 18 | 11 | 3 | {"smallest_eigenvalues": [-110.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -94.0, "smallest_bitstrings": ["10101001110"], "largest_eigenvalue": 132.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.9318268111524303) q[0];
ry(0.38931956515811894) q[1];
ry(0.3902911567247573) q[2];
ry(1.1272043707427177) q[3];
ry(-0.06813877106427911) q[4];
ry(0.6317778054059012) q[5];
ry(0.15416545826451308) q[6];
ry(-0.09477603974882308) q[7];
ry(0.07045239480556723) q[8];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZIIZI",
"IIIIIIZZIII",
"IIIZIZIIIII",
"IIIIZIIIIIZ",
"IIIIZZIIIII",
"IIIZZIIIIII",
"IIZIIZIIIII",
"ZIIZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIIIZIIII... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
5,
6.5,
9.5,
-1.5,
4,
16.5,
7.5,
13.5,
-5,
10,
-5.5
] | 0.970798 | [
0.9318268111524303,
0.38931956515811894,
0.3902911567247573,
1.1272043707427177,
-0.06813877106427911,
0.6317778054059012,
0.15416545826451308,
-0.09477603974882308,
0.07045239480556723,
-0.10074051305070131,
1.3521653325163223,
-0.04913882391824968,
0.08230118815715101,
0.0747159697521626... | {
"n_parameters": 84,
"n_qubits": 11,
"optimal_eigenvalue": -110,
"target_ratio": 0.97,
"target_value": -106.7
} | 77 |
f589aa270dfef1a199e9418113b678ca | 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": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [0, 255], "expectation_value": -0.6738181854887313, "params": [[0.06860000000000001, 0.0644], [-0.07440000000000001, -0.0699]], "bitstrings": ["111111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.003513025208230732, 0.003691699702452106], "optimization_time": 4.4064977169036865} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @ ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["100010000", "100000000"], "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(0.022208305970681033) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.020696996434594557) q[2];
cx q[1], q[2];
h q[3];
cx q[0], q[3];
rz(0.022208305970681033) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.020696996434594557) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIZIIZI",
"IIIIZIZII",
"IIIZIIIZI",
"IIIZIIZII",
"IIZIIIZII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIZIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"... | [
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
1.25,
-0.5,
-0.5,
-0.25,
-0.5,
0.5,
-0.25,
0.25,
1,
-1,
-0.5,
0.25,
0.25,
-0.5
] | 0.678231 | [
0.022208305970681033,
-0.020696996434594557,
1.5894637833590732,
1.57870266388029,
1.57151023785753,
1.5756654594871098,
-1.574839400170795,
-1.205521904166171
] | {
"n_parameters": 8,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 270 |
15323fff8a86688a67a3412302b595a8 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [23782, 7392], "expectation_value": -10.013365662296634, "params": [[0.1446, -0.005200000000000001, 0.005200000000000001], [-0.1734, -0.1514, -0.15080000000000002]], "bitstrings": ["010001100011001", "110001100011111"], "total_optimization_steps": 20, "probabilities": [0.0006046581209385454, 0.00072350312200... | -0.5 * (Z(10) @ Z(4)) + -0.5 * (Z(11) @ Z(4)) + 1.0 * (Z(11) @ Z(10)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(10)) + -0.5 * (Z(5) @ Z(11)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(10)) + -0.5 * (Z(6) @ Z(11)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(7) @ Z(8)) + 2.0 * (Z(9) @ Z(8)) + 1.0 * (Z(9) @ Z(7)) + -0.5 * (Z(0) @ Z(10)... | 1 | 15 | 3 | {"smallest_eigenvalues": [-17.799999999999926], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.999999999999833, "smallest_bitstrings": ["110001100011111"], "largest_eigenvalue": 37.40000000000003} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
rx(-0.018028883949639758) q[0];
rz(0.9021455909522267) q[0];
rx(-0.010461068957280077) q[1];
rz(-0.6251513123138588) q[1];
rx(1.2410705536056943) q[2];
rz(0.24837249735736772) q[2];
rx(1.482653069731669) q[3];
rz(0.15733957473157698) q[3];
rx(1.3550375103965857) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIZIIII",
"IIIZIIIIIIZIIII",
"IIIZZIIIIIIIIII",
"IIIIIIIIIZZIIII",
"IIIIZIIIIZIIIII",
"IIIZIIIIIZIIIII",
"IIIIIIIIZIZIIII",
"IIIIZIIIZIIIIII",
"IIIZIIIIZIIIIII",
"IIIIIIIIZZIIIII",
"IIIIIIZZIIIIIII",
"IIIIIZZIIIIIIII",
"IIIIIZIZIIIIIII",
"IIIIZIIIIIIIIIZ",
"IIIZIIIIIIIIIIZ",
"... | [
-0.5,
-0.5,
1,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
1,
1,
2,
1,
-0.5,
-0.5,
-1,
-1,
0.8,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
0.5,
0.5,
0.4,
-0.5,
-0.5,
-0.5,
-1,
-1,
-1,
1,
2,
-0.5,
-0.5,
0.5,
0.5,
5,
2.5,
5,
-0.29999999999999993,
-0.60000... | 0.972144 | [
-0.018028883949639758,
0.8606293015385114,
-0.010461068957280077,
-0.6251513123138588,
1.2410705536056943,
0.24837249735736772,
1.482653069731669,
0.15733957473157698,
1.3550375103965857,
0.08163044844034495,
-0.032341474889986954,
0.4495258465063271,
0.12331348944211716,
0.257408835838154... | {
"n_parameters": 75,
"n_qubits": 15,
"optimal_eigenvalue": -17.799999999999823,
"target_ratio": 0.97,
"target_value": -17.265999999999828
} | 19 |
8537223695775954754 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 6], [0, 7], [1, 2, 10], [1, 2, 6], [3, 4], [2, 11], [9, 4, 7], [9, 11, 4], [8, 3, 6], [0, 1, 11], [9, 5]]} | {"states": [1726, 1854], "expectation_value": -3.8380935917863837, "params": [[[0.0022, 0.7547, 0.007500000000000001, 0.0041], [-0.0021000000000000003, 0.7588, -0.003, 0.0031000000000000003], [1.5692000000000002, 0.0016, 1.5687, 0.0018000000000000002], [1.5624, -0.0029000000000000002, 1.5727, 0.007], [1.1597, 0.0028, 0... | 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(9) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(8)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.166666666... | 11 | 12 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.499999999999999, "smallest_bitstrings": ["100011000001"], "largest_eigenvalue": 8.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.028837631575485863) q[0];
rz(1.0059625803686225) q[0];
ry(-0.023056297087793283) q[1];
rz(0.9769651599026743) q[1];
cx q[1], q[0];
ry(0.003257443583721306) q[1];
rz(0.26791733922567806) q[1];
ry(1.6652113376881237) q[2];
rz(0.06326969840217556) q[2];
ry(1.5241306... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIZIIIIIIIZ",
"IIZIIIIIIIIZ",
"IIIZIIIIIIZI",
"IIIIIIIIIIZZ",
"IIIZIIIZIIII",
"IIIIIIIZIIZI",
"IIIIIIIIIZZI",
"IIIIIIIZIZII",
"IIIZIIZIIIII",
"IIZIIZIIIIII",
"IIIIIZZIIIII",
"IIIIIIIIZIIZ",
"IIIIIIIIZIZI",
"IIIIIIIZZIII",
"IIIIIZIIZIII",
"ZIZIIIIIIIII",
"ZIIIIZIIIIII",
"ZIIIIIIIZ... | [
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.33333333333... | 0.970452 | [
-0.028837631575485863,
1.0059625803686225,
-0.023056297087793283,
0.9769651599026743,
1.6652113376881237,
0.06326969840217556,
1.5241306152391512,
-0.04777777943513641,
1.090042597758352,
0.04978830526586961,
0.48019056473124366,
-0.10111448895439769,
1.5656691416152222,
-0.233530867496265... | {
"n_parameters": 41,
"n_qubits": 12,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 16 |
20a60ed013bc1976376f734be7d8d92c | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 1, "target": 3}]} | {"states": [1965, 3501], "expectation_value": -6.999472037177982, "params": null, "bitstrings": ["100001010010", "001001010010"], "total_optimization_steps": 100, "probabilities": [0.06089639755844991, 0.8704307752137688], "optimization_time": 331.6119906902313} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -6.0, "smallest_bitstrings": ["100100001001", "100100001010", "100100010001", "100010001001", "010010100001", "001001100100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.354728125038139) q[0];
ry(-0.4482118389810244) q[1];
ry(1.1755110513092433) q[2];
ry(0.5002955961412344) q[3];
ry(0.16063370756801337) q[4];
ry(1.5622279807339) q[5];
ry(1.1768090945097947) q[6];
ry(1.5622279807339) q[7];
ry(1.5666955069360808) q[8];
ry(1.5127972... | null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.5681) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIZIIIIIIIIZ",
"IIZIIIIIZIII",
"IZIIIIIII... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
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0.5,
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0.25,
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0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.972165 | [
-0.354728125038139,
-0.4482118389810244,
1.1755110513092433,
0.5002955961412344,
0.16063370756801337,
1.5622279807339,
1.1768090945097947,
1.5666955069360808,
1.5127972230668947,
-0.024986189269166677,
0.48443925419363265,
0.015176939504703403,
-0.07719483818697466,
0.3729730085267119,
0... | {
"n_parameters": 60,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999957,
"target_ratio": 0.97,
"target_value": -19.39999999999996
} | 52 |
b7eaf66301f9b7c8d4f947444be4cce6 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7},... | {"states": [2047, 1791], "expectation_value": -0.17625973402422773, "params": [[0.06670000000000001], [-0.0524]], "bitstrings": ["00000000000", "00100000000"], "total_optimization_steps": 10, "probabilities": [0.0005940870510721146, 0.0006024253917453893], "optimization_time": 2.0285451412200928} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(10)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(10) + 0.5 * Z(9) + -0.5 * Z(2) | 1 | 11 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["00100000000"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.578546460595844) q[0];
rz(1.5649484018205557) q[0];
rx(1.1542170140655326) q[1];
rz(1.581686139949353) q[1];
rx(2.1475358534579922) q[2];
rz(1.6795510659400366) q[2];
rx(-3.0641522994748227) q[3];
rz(1.5784891660204154) q[3];
rx(0.3578417314936647) q[4];
rz(2.1032... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx ... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZZIII",
"IIIIZZIIIII",
"IIZZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIZIIIIIII",
"ZIIIIIIIIII",
"IZIIIIIIIII",
"IIIIIIIIZII"
] | [
-1,
-1,
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970109 | [
1.5785464605958441,
-0.005847924974340831,
1.1542170140655326,
0.010889813154456019,
2.1475358534579927,
0.10875473914514013,
3.219033007704764,
0.007692839225518923,
0.35784173149366477,
0.532490951004535,
-3.076591709036881,
0.44428642196002094,
0.04260169475956817,
0.8997983020971242,
... | {
"n_parameters": 55,
"n_qubits": 11,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 291 |
51109ea74fc0913e1308d0dfb766c89e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"sour... | {"states": [34, 42], "expectation_value": -6.737741213349973, "params": [[[0.2887, 0.0507, 0.0095, 0.0023], [0.0825, 0.09920000000000001, 0.0829, 0.0085], [0.16290000000000002, -0.0878, 0.0029000000000000002, -0.0916], [0.3029, -0.0008, 0.305, 0.0017000000000000001], [0.0529, 0.1253, 0.0021000000000000003, 0.1264], [0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) ... | 12 | 9 | 2 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -7.0, "smallest_bitstrings": ["111001011", "110011110", "010110111", "011110101", "111000111", "111010101", "111011010", "110010111"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.006925496844785363) q[0];
rz(-0.07425392589886654) q[0];
ry(-0.13798100403776803) q[1];
rz(0.2671486235257752) q[1];
cz q[1], q[0];
ry(0.34542371641737646) q[0];
rz(-0.08466158541053) q[0];
ry(0.017675520383274634) q[1];
ry(0.2633780264147245) q[2];
rz(-0.132990860... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIZIIII",
"IIIIIIZZI",
"IIIIZIZII",
"IIIZIIIZI",
"ZIIZIIIII",
"IIZIIIIZI",
"IIZIIIZII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"ZZIIIIIII",
"IZIIIIZII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"... | [
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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,
-3,
-1.5,
0,
-2,
-2,
-1.5,
-1,
-1.5,
-2
] | 0.978599 | [
0.006925496844785363,
-0.07425392589886654,
-0.13798100403776803,
0.2671486235257752,
0.2633780264147245,
-0.13299086054551565,
0.3618361203961223,
0.08053277511653187,
0.08100984731949457,
0.07025628928803722,
0.35330674998789796,
0.2065929812867806,
0.05392859914501312,
0.082113016154655... | {
"n_parameters": 49,
"n_qubits": 9,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 9 |
c5d2a0621e9dcecb65eadc5509d4551e | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 6... | {"states": [1916, 4092], "expectation_value": -13.922071831424036, "params": null, "bitstrings": ["1100010000011", "1000000000011"], "total_optimization_steps": 100, "probabilities": [0.17890926772252125, 0.6993291558722765], "optimization_time": 494.0278699398041} | -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + 1.0 * (Z(3) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(4) @ Z(7)) + -0.5... | 1 | 13 | 2 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -13.0, "smallest_bitstrings": ["1100110100001", "1100001000101", "1000100100001", "1100110010001", "1100101010001", "1000100010001", "1100010000011... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(-0.08743649769424137) q[0];
rz(-1.4403708797533135) q[0];
rx(0.09393894887712548) q[1];
rz(0.5913182157078832) q[1];
rx(1.4078405758086183) q[2];
rz(0.1407318460299953) q[2];
rx(1.590037714848199) q[3];
rz(0.10840208344072243) q[3];
rx(0.18964145807910252) q[4];
rz(... | null | {"source": 0, "sink": 6} | {"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(-1.5577) q[12];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = me... | [
"IIIIIIIZIIIZI",
"IIIIIIZIIIIZI",
"IIIIIIZZIIIII",
"IIIIIIIIIIZZI",
"IIIIIIIZIIZII",
"IIIIIIZIIIZII",
"IIIIIIIIIZIZI",
"IIIIIIIZIZIII",
"IIIIIIZIIZIII",
"IIIIIIIIIZZII",
"IIIIIZIIIIIZI",
"IIIIIZIZIIIII",
"IIIIIZZIIIIII",
"IIIIIZIIZIIII",
"IIIIZIIIIIIZI",
"IIIIZIIZIIIII",
"IIIIZIZIIII... | [
-1,
-1,
1,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
1,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
1,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,... | 0.97291 | [
-0.0874364976942414,
-0.7782836179307168,
0.09393894887712548,
0.5913182157078832,
1.4078405758086183,
0.1407318460299953,
1.590037714848199,
0.10840208344072243,
0.18964145807910252,
0.07730924175294455,
-0.0250481159919958,
0.7670952990780986,
1.5475571454171502,
0.28663197303578225,
0... | {
"n_parameters": 70,
"n_qubits": 13,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 10 |
dd4f3f1f90b61f0bfd416cd86d3b98cc | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [138, 154], "expectation_value": -1.7278984798312886, "params": [1.6062, 0.0029000000000000002, 1.2590000000000001, 0.0039000000000000003, 0.0024000000000000002, 0.0094, 1.5958, 0.0054, 1.6069, 0.0005, 0.002, 0.008700000000000001, 1.6067, 0.005200000000000001, 1.2872000000000001, 0.0012000000000000001, 0.006... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 18 | 8 | 1 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.75, "smallest_bitstrings": ["10100101", "01110100", "01100101"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.008632250976209272) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(0.008632250976209272) q[6];
cx q[2], q[6];
cx q[0], q[6];
cx q[2], q[1];
rz(0.008632250976209272) q[1];
cx q[2], q[1];
rz(-0.0540222532... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIIIZZIZ",
"IIIZIZIZ",
"IIIZZIIZ",
"IIIZZZII",
"IIIZZZIZ",
"IZZIIIII",
"ZIIIZIII",
"IIIZIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IZIZIIII",
"ZIIZIIII",
"ZZIIIIII",
"IZIZIIZI",
"ZIIZIIZI",
"ZZIIIIZ... | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.125,
-0.125,
-0.625,
-0.125,
0.25,
-1,
-0.125,
-0.125
] | 0.970408 | [
0.008632250976209272,
1.575569617638468,
-0.6727209285319352,
-0.054022253286442244,
1.573410357852268,
-1.5904296327446668,
1.0927283100274239,
0.9434467989254105,
0.5170871449771044,
0.02444273188501817,
3.1589585393994937,
1.186050165776844,
0.5022231717811192
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 306 |
f83a24061b1538365ea5863841ae1bf9 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 12, "source": 0, "target": 3}, {"weight": 17, "source": 1, "tar... | {"states": [419, 242], "expectation_value": -33.138936110885375, "params": [[-0.041, -0.0047, 0.0064, 0.006200000000000001], [0.075, 0.07490000000000001, 0.06770000000000001, 0.057]], "bitstrings": ["001011100", "100001101"], "total_optimization_steps": 10, "probabilities": [0.014210944759638274, 0.01667278927333431], ... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(7)) + 14.5 * Z(2) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["100001101"], "largest_eigenvalue": 152.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.04871646612516628) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.04871646612516628) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.04871646612516628) q[1];
cx q[0], q[1];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.04871646612516628) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZIIIZ",
"IIIIIZIIZ",
"IIIIZZIII",
"IIIZIIIZI",
"IIZIIZIII",
"IZIIIIZII",
"IZIIIZIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
14.5,
12,
10.5,
10,
17.5,
-2.5,
3,
15.5,
8.5
] | 0.970674 | [
0.04871646612516628,
-1.8688513198462988,
0.7685111574059985,
-0.8440976668675935,
-1.792414361819576,
-0.8909371382579828,
1.275892672462125,
1.3454998306546064,
-0.9336965764881793,
0.722699565597045,
1.0788790798445864,
-0.003455671583784653,
0.2680719975684451,
1.0517416217444742,
-1... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 72 |
06224520ded029e940b1fde3f5ab3e3b | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [17, 37], "expectation_value": -3.003065798986642, "params": null, "bitstrings": ["101110", "011010"], "total_optimization_steps": 28, "probabilities": [0.05910217727314931, 0.8451772667375618], "optimization_time": 21.11746644973755} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + -0.25 * Z(1) + -0.5 * Z(0) + -1.0 * Z(2) + -0.25 * Z(3) + -0.5 * Z(4) + -0.25 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["011010"], "largest_eigenvalue": 5.75} | 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... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"IZZIII",
"IIZIZI",
"ZIIIZI",
"ZIZIII",
"ZIZIZI",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.25,
-0.5,
-1,
-0.25,
-0.5,
-0.25
] | 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 |
89a9f450da9db3b7265189a11532d767 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 7}, {"source": 2, "target": 8}, {"source": 3, "target": 5}, {"sour... | {"states": [255, 127], "expectation_value": -27.02332097579959, "params": [[[1.6192, 0.006], [0.0025, 0.0004], [0.0025, 0.0012000000000000001], [0.0025, 0.0012000000000000001], [0.0026000000000000003, 0.0041], [0.0024000000000000002, 0.006900000000000001], [0.0022, 0.0027], [3.1606, 0.0009000000000000001]]], "bitstring... | -3.0 * (Z(1) @ Z(2)) + 1.0 * (Z(6) @ Z(2)) + -3.0 * (Z(6) @ Z(1)) + -2.5 * (Z(7) @ Z(2)) + -2.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(6)) + -3.5 * (Z(4) @ Z(2)) + 1.5 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(6)) + -3.0 * (Z(4) @ Z(7)) + -3.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + 1.0 ... | 2 | 8 | 1 | {"smallest_eigenvalues": [-27.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 27.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.778287195522662) q[0];
rz(0.038599006142731325) q[0];
rx(-0.02447632984400284) q[1];
rz(0.12120317139922783) q[1];
rx(-0.02447632984400284) q[2];
rz(-0.0772258187810822) q[2];
rx(-0.02447632984400284) q[3];
rz(-0.0772258187810822) q[3];
rx(0.011496746916033689) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IZIIIZII",
"IZIIIIZI",
"ZIIIIZII",
"ZIIIIIZI",
"ZZIIIIII",
"IIIZIZII",
"IIIZIIZI",
"IZIZIIII",
"ZIIZIIII",
"IIZIIZII",
"IIZIIIZI",
"IZZIIIII",
"ZIZIIIII",
"IIZZIIII",
"IIIIZZII",
"IIIIZIZI",
"IZIIZIII",
"ZIIIZIII",
"IIIZZIII",
"IIZIZIII",
"IIIIIZII",
"IIIIIIZ... | [
-3,
1,
-3,
-2.5,
-2.5,
1,
-3.5,
1.5,
-3,
-3,
-3,
0.5,
0.5,
0.5,
1,
1,
0.5,
-2.5,
0.5,
-3,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.982743 | [
1.778287195522662,
0.038599006142731325,
-0.02447632984400284,
0.12120317139922783,
-0.0772258187810822,
0.011496746916033689,
0.017762617098776266,
0.04454019614017597,
-0.18777066297393413,
-0.10263516954958009,
0.025194075641083277,
3.1261680675292234,
-0.148749980404803
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -27.5,
"target_ratio": 0.97,
"target_value": -26.675
} | 1 |
eaf152c9366c1fc70b9994ec462b6b4c | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [147, 182], "expectation_value": -0.06830797171451675, "params": [[0.0719], [-0.0806]], "bitstrings": ["01101100", "01001001"], "total_optimization_steps": 10, "probabilities": [0.004358942691297585, 0.004543564122465281], "optimization_time": 4.282873153686523} | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(5)) + -0.125 * (Z(2) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(2) @ Z(3) @ Z(4... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["01001001"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.6888090260409325) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.6888090260409325) q[3];
cx q[2], q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.6888090260409325) q[1];
cx q[2], q[1];
rz(0.6888090260409325) q[3];
cx q[0], q[3];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2]... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZIZII",
"IIZIIZII",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIIZZZII",
"IIZIZZII",
"IIZZIZII",
"IIZZZIII",
"IIZZZZII",
"IIIIIZIZ",
"IZIIIIIZ",
"ZIIIIIIZ",
"IZIIIZII",
"ZIIIIZII",
"ZZIIIIII",
"IZIIIZIZ",
"ZIIIIZIZ",
"ZZIIIIIZ",
"ZZIIIZII",
"ZZIIIZI... | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.125,
-0.25,
0.25,
0.125,
-0.625,
-0.125,
0.125,
... | 0.97417 | [
0.6888090260409325,
-0.8365933516710795,
0.4055984428236141,
-0.5984647884441731,
0.6289659276331325,
0.03651754152469934,
-0.5975771749548225,
-0.20606642446438989,
0.7006882864312995,
-0.769960966506855,
-1.1910601522991142,
-0.06878545903780295,
-0.25779646726100014,
0.6591243819959086,... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 36 |
27e77dc99416ada4c5d281f5cb59d253 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4... | {"states": [0, 55], "expectation_value": -5.269118654935727, "params": [[[-0.0463, -0.6639, 0.0057, 0.009300000000000001], [-0.1003, -0.2452, 0.014400000000000001, -0.16970000000000002], [-0.0027, 1.1667, -0.0025, 0.227], [0.006200000000000001, 0.3059, 0.0027, 0.6424000000000001], [0.0025, 1.1311, 0.0025, -0.5106], [0.... | -0.25 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(4)) + -1.0 * Z(3) + -0.... | 11 | 7 | 4 | {"smallest_eigenvalues": [-5.75, -5.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.75, "smallest_bitstrings": ["1000000", "1001000"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.001861280777779208) q[0];
ry(-0.5773662085055048) q[1];
ry(-0.10758590765451301) q[2];
ry(0.021903783796151637) q[3];
ry(-0.008785686069597308) q[4];
ry(-0.055595892079957104) q[5];
ry(2.7673418599787256) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"ZIIIIIZ",
"ZIIIIZI",
"IIIZZII",
"IIIIZZI",
"IIZZIII",
"ZIZIIII",
"IIZIIZI",
"IIZIZII",
"IZIZIII",
"IZIIIZI",
"IZIIZII",
"IZZIIII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII",
"IZIIIII"
] | [
-0.25,
0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
-1,
-0.25,
-0.5,
1.5,
-0.5,
0.5,
0.25
] | 0.977551 | [
-0.001861280777779208,
-0.5773662085055048,
-0.10758590765451301,
0.021903783796151637,
-0.008785686069597308,
-0.055595892079957104,
2.7673418599787256,
0.05934540510533431,
0.06567533265908135,
-0.0026966537146873096,
0.0024350819685033907,
-0.12588591029733984,
-0.04433102940974164,
-0.... | {
"n_parameters": 25,
"n_qubits": 7,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 21 |
2cf6224a7b786ab8607e7cc5dbc62158 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 6... | {"states": [3, 43], "expectation_value": -8.212917224881869, "params": null, "bitstrings": ["1111100", "1010100"], "total_optimization_steps": 49, "probabilities": [0.20431288557519606, 0.6125808501211156], "optimization_time": 42.043530225753784} | -1.0 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -1.25 * (Z(1) @ Z(3)) + 2.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -0.75 * Z(2) + -0.25 * Z(0) + -0.75 * Z(4) + 0.5 * Z(3) + -0.25 * Z(1) + 0.5 * Z(6) + 1.0 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-9.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.75, "smallest_bitstrings": ["1010100"], "largest_eigenvalue": 8.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.06830128417282086) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.011585934974251182) q[3];
cx q[2], q[3];
rz(-0.6633598662099609) q[2];
rx(-1.3300415243216537) q[2];
cx q[3], q[1];
rz(-0.30274825969433) q[1];
cx q[3], q[1]... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.57) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];... | [
"IIIIZIZ",
"IIZIIIZ",
"IIIZZII",
"IIIZIZI",
"ZIIIIIZ",
"ZIIIIZI",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIZIII",
"IIIIIZI",
"ZIIIIII",
"IZIIIII"
] | [
-1,
-0.75,
-0.25,
-1.25,
2,
-0.5,
-1,
-0.75,
-0.25,
-0.75,
0.5,
-0.25,
0.5,
1
] | 0.970349 | [
-0.06830128417282086,
-0.6633598662099606,
0.011585934974251182,
-0.30274825969433,
0.03219304338927346,
-0.1354849027968686,
0.8613712349684953,
0.42174121241001783,
-1.330041524321654,
-0.2214808877154617,
-0.993722562477752,
0.18392254142999373,
-0.9256007528868808,
0.1552563526822461,
... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -9.75,
"target_ratio": 0.97,
"target_value": -9.4575
} | 210 |
3305978304862905038 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 7], [2, 3, 4, 6], [4, 5, 6], [0, 5, 6, 7], [4, 7], [2, 3, 5, 6], [0, 2, 4], [1, 2, 5, 6], [1, 3, 5, 6], [1, 4, 6], [0, 1, 3, 5]]} | {"states": [218, 158], "expectation_value": -2.9402656542530994, "params": null, "bitstrings": ["00100101", "01100001"], "total_optimization_steps": 46, "probabilities": [0.0700631605248958, 0.8397346655754189], "optimization_time": 79.00072598457336} | 0.5 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(7)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(6) @ Z(2)) + 0.41666666666666663 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(7)) + 0.25 * (Z(5) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0833333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0000000000000004, "smallest_bitstrings": ["01100001"], "largest_eigenvalue": 10.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.2964560518329145) q[0];
h q[1];
ry(-0.41131219384942697) q[1];
h q[2];
ry(-0.47149619534943) q[2];
h q[3];
ry(1.246163639121907) q[3];
h q[4];
h q[5];
cx q[5], q[1];
ry(0.41131219384942697) q[1];
cx q[5], q[1];
ry(-0.1276557068322024) q[5];
cx q[1], q[5];
r... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5668) 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[... | [
"ZIIIZIII",
"IIIIZZII",
"ZIIZIIII",
"IIIZZIII",
"IIIZIZII",
"ZZIIIIII",
"IZIIZIII",
"IZIIIZII",
"IZIZIIII",
"ZIZIIIII",
"IIZIZIII",
"IIZIIZII",
"IIZZIIII",
"IZZIIIII",
"ZIIIIIIZ",
"IIIIZIIZ",
"IIIIIZIZ",
"IIIZIIIZ",
"IZIIIIIZ",
"IIZIIIIZ",
"IIIIZIZI",
"IIIIIZZI",
"IIIZIIZ... | [
0.5,
0.16666666666666666,
0.5,
0.08333333333333333,
0.25,
0.08333333333333333,
0.25,
0.25,
0.41666666666666663,
0.08333333333333333,
0.25,
0.16666666666666666,
0.16666666666666666,
0.49999999999999994,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.166666666666666... | 0.973933 | [
1.7050216884032752,
1.2964560518329145,
-0.6060744172434088,
1.246163639121907,
-0.6448861603448226,
1.2930221764030922,
-0.3375557038498357,
-0.94299239069886,
0.29136093921609396,
-0.8226243876988539,
0.44914211415243704,
-0.5978520110912836,
0.28592259159358324,
-0.14995665357978163,
... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -3.0833333333333335,
"target_ratio": 0.97,
"target_value": -2.9908333333333332
} | 9 |
9549964f1bad9d8041c30a1733d66104 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 4, "target": 5},... | {"states": [1919, 2047], "expectation_value": -9.129330923412734, "params": [[-0.0799], [0.1695]], "bitstrings": ["00010000000", "00000000000"], "total_optimization_steps": 20, "probabilities": [0.0028914434810305223, 0.002926655579650627], "optimization_time": 5.864476680755615} | -1.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(1) @ Z(5)) + -3.0 * (Z(6) @ Z(7)) + -4.0 * (Z(10) @ Z(7)) + -3.0 * (Z(10) @ Z(6)) + -3.5 * (Z(9) @ Z(7)) + 1.0 * (Z(9) @ Z(6)) + -4.0 * (Z(9) @ Z(10)) + -3.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(6)) + 1.5 * (Z(2) @ Z(10)) +... | 5 | 11 | 1 | {"smallest_eigenvalues": [-35.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.5, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 34.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(1.3468582824634014) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.240652859206523) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(0.24065285920652313) q[4];
rx(1.0128016686268444) q[4];
rz(0.4988274923559804) q[5];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h ... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIIIZIIIIZ",
"IIIIIIIIIZZ",
"IIIIIZIIIZI",
"IIIZZIIIIII",
"ZIIZIIIIIII",
"ZIIIZIIIIII",
"IZIZIIIIIII",
"IZIIZIIIIII",
"ZZIIIIIIIII",
"IIIZIIIIZII",
"IIIIZIIIZII",
"ZIIIIIIIZII",
"IZIIIIIIZII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"ZIZIIIIIIII",
"IZZIIIIII... | [
-1.5,
0.5,
-2,
0.5,
-1.5,
-3,
-4,
-3,
-3.5,
1,
-4,
-3.5,
0.5,
1.5,
-3,
1.5,
0.5,
-3.5,
-3,
-2.5,
0.5,
0.5,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
1,
1.5,
-2.5,
1.5,
1,
0.5
] | 0.564475 | [
1.3468582824634014,
0.240652859206523,
0.4988274923559804,
0.59543045849297,
0.5329134372965934,
0.515311002887406,
0.22873335399055672,
0.2998475184402763,
0.53773577073868,
1.0128016686268444
] | {
"n_parameters": 10,
"n_qubits": 11,
"optimal_eigenvalue": -35.5,
"target_ratio": 0.97,
"target_value": -34.435
} | 245 |
da67ef528b08e4f6c3f00d54374014e6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 2, "s... | {"states": [17, 1], "expectation_value": -0.9093234365314282, "params": [[0.0611], [-0.0485]], "bitstrings": ["111101110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0027991968189442122, 0.0029427815836306887], "optimization_time": 2.752567768096924} | -0.75 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(0)) + -1.0 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + 3.5 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(4)) + -1.25 * (Z(1) @ Z(2)) + -1.25 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(7)) + -1.25 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(4)) + -1.25 * (Z(6) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-22.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 22.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(2.276715135406897e-08) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(6.327110564564818e-09) q[3];
cx q[0], q[3];
h q[4];
cx q[0], q[4];
rz(6.327110564564818e-09) q[4];
cx q[0], q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[7];
rz(6.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IZIIIIZII",
"IZIIIIIIZ",
"IZIIZIIII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"IIIIIIZZI",
"IIIIIZIZI",
"IZIIIIIZI",
"IIZIIIZII",
"IIZIZIIII",
"IZZIIIIII",
"IIZIIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"... | [
-0.75,
-1,
-1,
-1,
-0.5,
-0.25,
3.5,
-0.75,
-1.25,
-1.25,
-0.25,
-1.25,
-1.25,
-1.25,
-0.5,
-1.25,
-1.5,
-0.25,
0,
-0.25,
-3.25,
1.5,
-1.75,
2.75,
0.25,
-0.25,
1
] | 0.727735 | [
2.276715135406897e-8,
6.327110564564818e-9,
3.755034706093426e-8,
-0.5315574040287431,
-2.2052186434161875e-8,
2.756718244997198e-8,
1.9256097835829254e-8,
-1.5707963118824932,
-1.5707963367412134,
1.5707962362493544,
-1.5707962613965039,
1.5707963086664596,
-1.570796349822319,
-1.57079634... | {
"n_parameters": 15,
"n_qubits": 9,
"optimal_eigenvalue": -22.75,
"target_ratio": 0.97,
"target_value": -22.0675
} | 329 |
-5718511346561763600 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4], [1, 6, 7], [0, 1, 3], [2, 4, 6], [2, 3, 5, 6], [0, 4, 6, 7], [0, 2, 6, 7], [0, 5, 6], [1, 4]]} | {"states": [234, 242], "expectation_value": -2.5507966614694038, "params": null, "bitstrings": ["00010101", "00001101"], "total_optimization_steps": 48, "probabilities": [0.06065461143145108, 0.8812212130705585], "optimization_time": 83.4944109916687} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.25 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.3333333333333333 * (Z(7) @ Z(6)) + 0.08333333333333333 * (Z(0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.666666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.416666666666667, "smallest_bitstrings": ["00001101"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(-0.9318844793969234) q[3];
cx q[4], q[3];
cx q[4], q[1];
rz(-0.9318844793969234) q[1];
cx q[4], q[1];
cx q[3], q[1];
rz(0.04773968883762164) q[1];
cx q[3], q[1];
h q[5];
h q[6];
cx q[4], q[6];
rz(-0.4110047545292... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5626) 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[... | [
"IIIZZIII",
"IIIZIIZI",
"IIIIZIZI",
"IZIZIIII",
"IZIIZIII",
"IZIIIIZI",
"ZIIZIIII",
"ZIIIIIZI",
"ZZIIIIII",
"IIIZIIIZ",
"IIIIZIIZ",
"IIIIIIZZ",
"IZIIIIIZ",
"ZIIIIIIZ",
"IIIZIZII",
"IIIIZZII",
"IZIIIZII",
"ZIIIIZII",
"IIIIIZIZ",
"IIZIZIII",
"IZZIIIII",
"IIZIIIIZ",
"IIZIIZI... | [
0.5,
0.5,
0.16666666666666666,
0.25,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,... | 0.622559 | [
-0.9318844793969234,
0.04773968883762164,
-0.4110047545292894,
0.022586796739165565,
-0.3930124507572784,
-0.0886209644276944,
-0.000838173168603635,
-1.214935704564932,
-1.4370214306523033,
-1.342857931481308,
0.897568605185349
] | {
"n_parameters": 11,
"n_qubits": 8,
"optimal_eigenvalue": -2.666666666666666,
"target_ratio": 0.97,
"target_value": -2.586666666666666
} | 250 |
da1b1c85f8e653b867f6f4bdba638afa | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [10, 7], "expectation_value": -3.6632070484916626, "params": [[0.1575, 0.1258, 0.016800000000000002, -0.050300000000000004], [-0.1658, -0.1463, -0.10930000000000001, -0.0751]], "bitstrings": ["1110101", "1111000"], "total_optimization_steps": 20, "probabilities": [0.03688342905139609, 0.037974475876108915], ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -2.0 * Z(3) + ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["0111001", "1101001", "1111000"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-3.03208384136978) q[0];
rz(1.1529037528344812) q[0];
rx(3.0700951243921843) q[1];
rz(-1.3038601993648782) q[1];
rx(2.7848649180839136) q[2];
rz(-1.3038601993648782) q[2];
rx(-0.3029962700085394) q[3];
rz(-0.6966306365913719) q[3];
rx(2.903387714224511) q[4];
rz(0.7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"IIZIIZI",
"IIZZIII",
"IZIIIZI",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IIZIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-1.5,
-2,
-1,
-0.5,
0
] | 0.97036 | [
3.2511014658098065,
0.9365748093907186,
3.0700951243921843,
-1.3038601993648782,
2.7848649180839136,
-0.3029962700085394,
-0.6966306365913719,
2.903387714224511,
0.7624352408508751,
2.8830223660071757,
-2.241045445073787,
2.8420106823505695,
0.9076514518624942,
-0.007602550276479374,
3.1... | {
"n_parameters": 31,
"n_qubits": 12,
"optimal_eigenvalue": -4.125,
"target_ratio": 0.97,
"target_value": -4.00125
} | 47 |
eb3eedc1aa3e0fb1f928862c6e0193a7 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2},... | {"states": [2047, 127], "expectation_value": -33.04211374424374, "params": [[[0.0025, 0.0059], [0.0024000000000000002, 0.009600000000000001], [0.0023, 0.0016], [-1.6139000000000001, 0.0051], [0.0023, 0.002], [-0.0025, 0.008700000000000001], [0.0023, 0.0028], [0.0023, 0.0026000000000000003], [0.0025, 0.007], [0.0023, 0.... | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(6)) + -2.5 * (Z(8) @ Z(6)) + -2.5 * (Z(8) @ Z(4)) + -2.5 * (Z(10) @ Z(6)) + -2.5 * (Z(10) @ Z(4)) + -3.0 * (Z(10) @ Z(8)) + 0.5 * (Z(5) @ Z(10)) + 0.5 * (Z(7) @ Z(6))... | 2 | 11 | 1 | {"smallest_eigenvalues": [-34.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.0, "smallest_bitstrings": ["11110000000"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.6453360419573886) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.6453360419573886) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.6453360419573886) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.6453360419573886) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIZZII",
"IIIIZIZIIII",
"IIZIZIIIIII",
"IIZIIIZIIII",
"ZIIIZIIIIII",
"ZIIIIIZIIII",
"ZIZIIIIIIII",
"ZIIIIZIIIII",
"IIIZZIIIIII",
"IIIZIIZIIII",
"IIZZIIIIIII",
"ZIIZIIIIIII",
"IIIZIZIIIII",
"IZIIZIIII... | [
-2.5,
-2.5,
-2.5,
-2.5,
-2,
1,
-2,
-2.5,
-2.5,
-2.5,
-2.5,
-3,
0.5,
0.5,
0.5,
0.5,
-3,
-1.5,
0.5,
0.5,
-2.5,
0.5,
-2,
1.5,
-1.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.562238 | [
-0.6453360419573886,
-0.7318233247188003,
-0.29798374998742927,
-0.5414701779168823,
-0.16437712901459633,
-0.9074455180247226,
-0.3499795094297652,
-1.0200175008981283
] | {
"n_parameters": 8,
"n_qubits": 11,
"optimal_eigenvalue": -34,
"target_ratio": 0.97,
"target_value": -32.98
} | 207 |
19a170966b6554e06b86de8b065b1bdc | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "... | {"states": [4071, 4095], "expectation_value": -16.196468057521123, "params": null, "bitstrings": ["000000011000", "000000000000"], "total_optimization_steps": 100, "probabilities": [0.05736519868683177, 0.3250566201662711], "optimization_time": 334.1827144622803} | -2.5 * (Z(0) @ Z(2)) + -2.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.5 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + -2.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + -2.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -2.0... | 1 | 12 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["000000000000"], "largest_eigenvalue": 25.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(0.2822237412816046) q[0];
h q[1];
ry(-0.05765378459532568) q[1];
h q[2];
ry(0.33160381902501096) q[2];
h q[3];
ry(0.33160381902501096) q[3];
h q[4];
cx q[4], q[2];
ry(-0.33160381902501096) q[2];
cx q[4], q[2];
cx q[2], q[3];
ry(-0.33160381902501096) q[3];
cx... | null | {"node": 6} | {"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[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure... | [
"IIIIIIIIIZIZ",
"IIIIIIIIZZII",
"IIIIIIIIZIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIIZZ",
"IIIIIIIIZIZI",
"IIIIIIIZIZII",
"IIIIIIIZIIIZ",
"IIIIIIIZZIII",
"IIIIIIIZIIZI",
"IIIIIZZIIIII",
"IIIZIZIIIIII",
"IIIZIIZIIIII",
"IIIIZZIIIIII",
"IIIZZIIIIIII",
"IZZIIIIIIIII",
"ZZIIIIIIIIII",
"ZIZIIIIII... | [
-2.5,
-2.5,
-2,
-2.5,
1,
-2,
-2.5,
0.5,
0.5,
0.5,
-1.5,
-2.5,
0.5,
0.5,
-2,
-1.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
0.5,
-1.5,
1,
0.5,
0.5,
0.5
] | 0.948423 | [
0.6632076380500219,
0.5644474825632092,
-0.11530756919065135,
0.1011643325325824,
1.6755156789999361,
0.08702567778123989,
-0.7889109843636426,
0.026585925656095806,
-0.0018136223524275212,
0.17926022580993517,
0.03318180560240856,
0.8680069718038783,
-1.0288559738663745,
0.007590820393820... | {
"n_parameters": 72,
"n_qubits": 12,
"optimal_eigenvalue": -24,
"target_ratio": 0.97,
"target_value": -23.28
} | 500 |
253d3995de007ce15800f0023018551d | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2... | {"states": [0, 1], "expectation_value": -7.852828366604655, "params": [0.005200000000000001, 0.24580000000000002, 0.0044, 0.4495, 0.0024000000000000002, 0.34440000000000004, 0.0043, 0.455, 0.006900000000000001, 0.2972, 0.0038, 0.4505, 0.6067, 0.0013000000000000002, 0.0032, 0.2964, -0.00030000000000000003, 0.3678, 0.003... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + 1.75 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.75 * Z(6) + 1.75 * Z(3) + 1.0 * Z(4) + -0.5 * Z(5) | 3 | 7 | 3 | {"smallest_eigenvalues": [-10.5, -10.5, -10.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110", "1110000", "1110010"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.02121917373057882) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.7085683064572578) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.06024138352319858) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.06024138352319858) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"ZIIIIIZ",
"IIIZIZI",
"IIIZZII",
"IIZIIZI",
"IIZZIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIIZIII",
"IIZIIII",
"IZIIIII"
] | [
-0.5,
-0.25,
-1,
1.75,
-1,
-0.5,
-0.75,
-0.75,
-0.5,
-2,
-0.25,
-1.75,
1.75,
1.75,
1,
-0.5
] | 0.970798 | [
-0.02121917373057882,
0.7085683064572578,
-0.06024138352319858,
-0.717158803780761,
-0.027419781330413187,
0.9534655477484596,
0.681696906877384,
-0.7086536622318328,
1.7659512478861448,
0.02937759427138251,
1.1009043106829477,
-0.25747217679567397,
-1.11426630721713,
0.6485468629559561,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 73 |
ec471b6985489d774242f85569adf59b | 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": 3}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 5... | {"states": [7, 31], "expectation_value": -4.696884377382494, "params": null, "bitstrings": ["1111000", "1100000"], "total_optimization_steps": 50, "probabilities": [0.2078127726415533, 0.6174813467105884], "optimization_time": 47.69934797286987} | -0.5 * (Z(0) @ Z(3)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(5)) + 0.75 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(4)) + 0.5 * Z(3) + -0.25 * Z(0) + 0.0 * Z(2) + -0.75 * Z(1) + -0.5 * Z(5) + 1.0 * Z(4) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.25, -5.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000", "1100000"], "largest_eigenvalue": 7.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.22626317840587773) q[0];
ry(-0.5184008335123981) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
ry(1.1401633959010897) q[3];
cx q[2], q[3];
ry(-1.1401633959010897) q[3];
cx q[2], q[3];
ry(1.0093741371010103) q[2];
cx q[3], q[2];
ry(-1.0093741371010103) q[2];
cx q[3],... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.57) q[5], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\... | [
"IIIZIIZ",
"IIIZZII",
"IIIIZZI",
"IZIZIII",
"IZIIZII",
"IIZIIZI",
"IZZIIII",
"ZIIIIIZ",
"ZIZIIII",
"IIIZIII",
"IIIIIIZ",
"IIIIZII",
"IIIIIZI",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
-0.5,
-1,
-0.25,
-0.5,
-0.25,
-0.5,
-1.25,
0.75,
-0.75,
0.5,
-0.25,
0,
-0.75,
-0.5,
1,
0
] | 0.970102 | [
-0.1900303620413008,
2.2803267918021795,
1.1256654437583153,
2.0187482742020206,
1.6434168369096631,
1.8426328371418002,
-0.45252635681175546,
0.08217158641126696,
-0.8455112738086743,
-0.4137684389476487,
0.288434515948629,
-1.303737398731056,
-0.011656880147209253,
0.1711251505104498,
... | {
"n_parameters": 32,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 99 |
66118b4a39d9f94415b36602b745f3db | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1... | {"states": [25, 63], "expectation_value": -3.8327157141949892, "params": null, "bitstrings": ["1100110", "1000000"], "total_optimization_steps": 57, "probabilities": [0.08569643730503933, 0.6101461547912892], "optimization_time": 64.97977828979492} | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * Z(4) + -0.25 * Z(0) + 0.25 * Z(1) + -0.5 * Z(5) + 0.5... | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.12524510593503183) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.2057321989079934) q[1];
cx q[4], q[1];
h q[5];
cx q[4], q[5];
rz(-0.12524510593503183) q[5];
cx q[4], q[5];
cx q[1], q[5];
cx q[4], q[2];
rz(-0.2057... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.5158) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... | [
"IIZIIIZ",
"IIZIIZI",
"IZZIIII",
"IZIIIZI",
"IIZIZII",
"IIIIZZI",
"IZIIZII",
"ZIIIIIZ",
"ZIIIZII",
"IIIZIZI",
"IIIZZII",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IZIIIII",
"IIIIZII",
"ZIIIIII",
"IIIZIII"
] | [
-0.25,
-0.75,
-0.25,
-0.5,
-0.75,
-0.25,
-0.25,
0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
0.25,
-0.5,
0.5,
0,
0.5
] | 0.959452 | [
-0.12524510593503183,
-0.2057321989079934,
0.18692089032363474,
0.6210941574237907,
0.4969742707579973,
0.9038872847986754,
-1.528486332966517,
-0.26931922132779773,
-0.442174215049874,
0.3538515939923324,
1.0125796270904612,
0.4397668488203588,
-1.1536132104223544,
-0.5382064669199504,
... | {
"n_parameters": 25,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 500 |
-202939672514890062 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 3, 5, 6], [0, 1, 5, 6], [1, 2, 3, 4, 5, 6], [0, 2, 3]]} | {"states": [109, 87], "expectation_value": -0.44772981384276433, "params": [[0.3768], [-0.3704]], "bitstrings": ["0010010", "0101000"], "total_optimization_steps": 40, "probabilities": [0.013823423557006182, 0.013886534902805793], "optimization_time": 3.02524995803833} | 0.25 * (Z(0) @ Z(3)) + 0.11666666666666667 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.11666666666666667 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.19999999999999998 * (Z(6) @ Z(5)) + 0.03333333333333333 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.11666666666666667 * (Z(1) @ Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.0333333333333332, -1.0333333333333332], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.033333333333333, "smallest_bitstrings": ["0010001", "0101000"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.469365930601189) q[0];
h q[1];
ry(-0.1297456655707251) q[1];
h q[2];
h q[3];
ry(-0.22280296185012644) q[3];
cx q[2], q[3];
ry(0.22280296185012644) q[3];
cx q[2], q[3];
ry(-0.19100132150028837) q[3];
ry(0.7814623598164631) q[2];
ry(-1.903010992477764) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IZIZIII",
"IZIIIIZ",
"ZIIZIII",
"ZIIIIIZ",
"ZZIIIII",
"IIIZIZI",
"IIIIIZZ",
"IZIIIZI",
"ZIIIIZI",
"IIIZZII",
"IIIIZIZ",
"IZIIZII",
"ZIIIZII",
"IIIIZZI",
"IIZZIII",
"IZZIIII",
"ZIZIIII",
"IIZIIZI",
"IIZIZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"III... | [
0.25,
0.11666666666666667,
0.16666666666666666,
0.11666666666666667,
0.16666666666666666,
0.19999999999999998,
0.03333333333333333,
0.08333333333333333,
0.11666666666666667,
0.11666666666666667,
0.19999999999999998,
0.16666666666666666,
0.03333333333333333,
0.03333333333333333,
0.0333333... | 0.97108 | [
1.469365930601189,
0.7902880687335146,
0.3813718156711487,
-0.44560592370025287,
0.6020075398406564,
-0.38200264300057674,
0.35890963995161346,
-0.4932375938699363,
0.5260024219919203,
-0.3320337627343183,
0.31453351241349264,
0.2747077340485239,
-0.2594913311414502,
0.12574857782539786,
... | {
"n_parameters": 37,
"n_qubits": 7,
"optimal_eigenvalue": -1.0333333333333332,
"target_ratio": 0.97,
"target_value": -1.0023333333333333
} | 2 |
e8fdec38f32f10530d269f6547919d57 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 2}, {"weight": 19, "source": 1, "target": 3}, {"weight": 6... | {"states": [183, 118], "expectation_value": -23.06160491289833, "params": [[0.0297, 0.0118], [-0.07100000000000001, -0.081]], "bitstrings": ["01001000", "10001001"], "total_optimization_steps": 10, "probabilities": [0.011197351557759246, 0.013155646124494939], "optimization_time": 4.040886640548706} | 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(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(1)) + 3.5 * (Z(7) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-69.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 157.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.17949889982137707) q[0];
h q[1];
ry(-0.14797600783105308) q[1];
h q[2];
ry(1.6432224921298026) q[2];
h q[3];
cx q[3], q[0];
ry(0.17949889982137707) q[0];
cx q[3], q[0];
ry(0.8547520083356644) q[0];
h q[4];
cx q[4], q[1];
ry(0.14797600783105308) q[1];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
10.5,
8,
13.5,
20,
10,
17,
17,
8.5
] | 0.972171 | [
-0.29595201566210616,
-0.35899779964275413,
1.6432224921298026,
0.9033872731020592,
-0.4118355892285082,
0.7485108173051358,
-0.3753867049038224,
-0.10690644632358749,
0.32912167940678394,
-0.21107854551076083,
0.6268900816335382,
-0.009865066915267423,
0.06148966405270589,
0.2832723267589... | {
"n_parameters": 55,
"n_qubits": 8,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 50 |
-6076511891567190251 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3], [0, 5], [2, 3], [2, 6], [1, 5], [1, 7], [0, 2], [1, 4]]} | {"states": [31, 224], "expectation_value": -0.04524901528390548, "params": [[0.0601], [-0.0475]], "bitstrings": ["11100000", "00011111"], "total_optimization_steps": 10, "probabilities": [0.004177797124195406, 0.004177797124195406], "optimization_time": 0.5357871055603027} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(7) + 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": ["00111101", "11000010", "00101101", "11010010", "00011111", "11100000"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.7113326787667249) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(-0.7113326787667249) q[2];
cx q[3], q[2];
rz(-3.0555244556751404e-08) q[3];
rx(0.724787755745356) q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(-0.7113326787667249) q... | 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[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[0]... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIZIIIIZ",
"IIIIZZII",
"IIIIIZIZ",
"IZIIIZII",
"IIZIIIZI",
"ZIIIIIZI",
"IIIZIIZI",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII",
"IIIIIIZI",
"ZIIIIIII",
"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
] | 0.539316 | [
-0.7113326787667249,
-3.055524527651175e-8,
0.724787755745356
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 97 |
2ffd1b161729755e1db91208fa3bd6bb | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [190, 186], "expectation_value": -64.82953643729955, "params": [-0.0025, -0.8731, 1.3846, 0.4053, 0.7681, 0.4102, 1.4021000000000001, 0.0206, 1.3958000000000002, -0.0002, 1.4011, -0.1398, 0.7931, -0.2669, 1.4078000000000002, -0.0068000000000000005, 0.0031000000000000003, 0.8951, -0.0025, 0.001700000000000000... | 6.0 * (Z(3) @ Z(1)) + 6.0 * (Z(2) @ Z(1)) + 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(4) @ Z(1)) + 6.0 * (Z(5) @ Z(2)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(6) @ Z(3)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(0) @ Z(7)) + 6.0 * (Z(8) @ Z(7)) + 11.5 * Z(1) + 14.0 * Z(3) + 9.5 * Z(2) + 15.0 * Z(4) + 13.5 * Z(5) + 10.5 * Z(... | 18 | 9 | 2 | {"smallest_eigenvalues": [-81.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "smallest_bitstrings": ["101000101"], "largest_eigenvalue": 143.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.08954213065844424) q[0];
rz(-1.5303874302127785) q[0];
rx(1.5415807770572711) q[1];
rz(0.632245500275433) q[1];
rx(0.11727514250337426) q[2];
rz(0.6438408671998659) q[2];
rx(1.550083928731664) q[3];
rz(0.14882638554728145) q[3];
rx(2.0307752961608228) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZI",
"IIIIIIZZI",
"IIIIIZZII",
"IIIIZIIZI",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIIZ",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"IIIIIIIIZ",
"ZIIIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
11.5,
14,
9.5,
15,
13.5,
10.5,
7,
-5,
-5.5
] | 0.974259 | [
-0.08954213065844424,
-1.0303031006876733,
1.5415807770572711,
0.632245500275433,
0.11727514250337426,
0.6438408671998659,
1.550083928731664,
0.14882638554728145,
2.0307752961608228,
-0.16139458373095206,
1.577647225641226,
-0.05075036279197607,
0.262609744989571,
-0.3668535002261814,
1.... | {
"n_parameters": 52,
"n_qubits": 9,
"optimal_eigenvalue": -81.5,
"target_ratio": 0.97,
"target_value": -79.05499999999999
} | 18 |
3d599008e6d247101eb02503201a8a05 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "so... | {"states": [439, 1015], "expectation_value": -8.626190094756781, "params": null, "bitstrings": ["111001001000", "110000001000"], "total_optimization_steps": 100, "probabilities": [0.10145933749532667, 0.4400528382935296], "optimization_time": 410.17378997802734} | 0.5 * (Z(5) @ Z(9)) + 2.0 * (Z(10) @ Z(9)) + 1.0 * (Z(10) @ Z(5)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(10)) + -0.5 * (Z(2) @ Z(9)) + -1.0 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(10)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -2.0 * (Z(3) @ Z(10)) + -0.5 * (Z(3) @ Z(6)) +... | 1 | 12 | 1 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 37, "first_excited_energy": -8.5, "sm... | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.08055982018340721) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(0.08055982018340721) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(0.5225355503098899) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0805598201834072... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.5709) q[10];\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];... | [
"IIZIIIZIIIII",
"IZZIIIIIIIII",
"IZIIIIZIIIII",
"IIZIIZIIIIII",
"IIIIIZZIIIII",
"IZIIIZIIIIII",
"IIZIIIIIIZII",
"IIIIIIZIIZII",
"IZIIIIIIIZII",
"IIIIIZIIIZII",
"IIZIIIIIZIII",
"IIIIIIZIZIII",
"IZIIIIIIZIII",
"IIIIIZIIZIII",
"IIIIIIIIZZII",
"IIZIIIIZIIII",
"IIIIIIZZIIII",
"IZIIIIIZI... | [
0.5,
2,
1,
0.5,
1,
1,
-0.5,
-1,
-1,
-1,
-1,
-0.5,
-2,
-0.5,
0.5,
-1,
-0.5,
-2,
-0.5,
0.5,
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,
1,
-0.5,
-0.5,
-0.5,
1.5,
2,
3,
2,
-2,
... | 0.869132 | [
0.08055982018340721,
-0.35470681563137524,
0.5225355503098899,
1.1234973761473965,
1.3097500534732263,
0.06301837355841679,
0.0172289539833638,
1.175101985651543,
-0.050600734974519,
-0.913335335482333,
1.0536620339595795,
1.7102271339985182,
2.127471121365935,
-0.06929635052414747,
1.03... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 500 |
d56985f232688510835b204f6df74ea2 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [0, 12], "expectation_value": -2.539652844052889, "params": [-0.5840000000000001, 1.0903, 0.4934, 0.7884, -0.5805, 1.0986, 0.502, 0.9885, 0.3155, 0.8628, -0.465, 0.6867000000000001, 0.0224, 0.7575000000000001, 0.02, 0.2212, 0.5407000000000001, 0.1945, 0.0761, 0.007200000000000001, 0.5363, 0.2202, 0.006900000... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.0 * Z(3) + 1.0 * Z(2) | 6 | 4 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["0011", "0000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rx(-0.3496888126830203) q[0];
rz(2.484506498622846) q[0];
rx(-0.3606515987656041) q[1];
rz(2.695813082918283) q[1];
rx(-0.7154262833367034) q[2];
rz(1.8175501947592743) q[2];
rx(-0.19870768265287853) q[3];
rz(1.1347460276828725) q[3];
cx q[3], q[2];
ry(-0.16829304157100... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIZZ",
"ZZII",
"IIZI",
"IIIZ",
"ZIII",
"IZII"
] | [
-1,
-1.5,
0.5,
0.5,
-1,
1
] | 0.971412 | [
-0.3496888126830203,
0.9137101718279496,
-0.36065159876560415,
1.125016756123386,
-0.7154262833367034,
0.24675386796437643,
-0.19870768265287853,
1.1347460276828725,
0.3365860831420172,
0.2330728285343483,
0.02036217997528407,
0.2540546231098219,
-0.1563285096769219,
0.6029637664150831,
... | {
"n_parameters": 59,
"n_qubits": 4,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 70 |
7864173975676994353 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 6], [0, 2], [1, 3], [0, 4], [5, 6], [5, 7]]} | {"states": [105, 108], "expectation_value": -0.27530032164359697, "params": [0.8869, -0.2212, 0.7702, 0.002, 0.8934000000000001, -0.20350000000000001, 0.7884, 0.009300000000000001, 0.8987, -0.1902, 0.8724000000000001, 0.0028, 0.8925000000000001, -0.20350000000000001, 0.762, 0.0067, 0.8931, -0.2446, 0.8431000000000001, ... | 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(7) | 5 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["10010011", "01101100", "00111100", "11000011"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.24976233659730457) q[0];
h q[1];
ry(-0.24976233659730457) q[1];
h q[2];
ry(1.4645481681724073) q[2];
h q[3];
cx q[3], q[1];
ry(0.24976233659730457) q[1];
cx q[3], q[1];
ry(-0.6332065277539402) q[1];
ry(0.9231482053396799) q[3];
h q[4];
cx q[4], q[0];
ry(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIIIZII",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZIIIZ",
"IZZIIIII",
"ZIZIIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.972869 | [
-0.49952467319460914,
1.4645481681724073,
-0.6598561124926331,
1.2549914156499569,
-0.4515642135607268,
-1.4337034365290184,
0.3711638473098272,
0.6252263480586192,
-0.48488370929931396,
0.5958437145621213,
-0.2966456369092525,
0.3311442669179522,
0.2978638103584853,
0.11736641277618287,
... | {
"n_parameters": 34,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 12 |
db7bdfb6ee94a36848a9fd983ceba634 | 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": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 6, "source": 1, ... | {"states": [0, 65], "expectation_value": -14.93021660738582, "params": null, "bitstrings": ["11111111", "10111110"], "total_optimization_steps": 44, "probabilities": [0.07856829134064691, 0.7428742592901634], "optimization_time": 42.37813639640808} | -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... | 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];\ncry(1.5708) q[7], 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] = mea... | [
"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 |
927cc3c36d5206cbba5cf15e96649368 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"sour... | {"states": [52, 53], "expectation_value": -3.4263447247095673, "params": [1.4899, -0.0023, 0.0015, -0.623, 1.7014, 0.0033, 1.7072, 0.0021000000000000003, 1.7018, -0.0021000000000000003, 1.7088, 0.0025, 1.7052, 0.0004, 0.0034000000000000002, -0.7217, 1.6328, 0.0005, -1.5666, 0.004200000000000001, -1.6928, 1.472500000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(7) + 0.0 * Z(8) + -0.5 * Z(4) + -0.5 * Z(6) + -0.5 * Z(3) + 0.0... | 4 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -3.5, "smallest_bitstrings": ["110101010", "010101011", "010100111", "011001011", "110110100", "011000111", "110111000", "110100110", "100110110", "111000110",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(2.9579253506743193) q[0];
rz(1.629019273827625) q[0];
rx(-0.04811169624475186) q[1];
rz(0.09551494051780374) q[1];
rx(1.9618763818190181) q[2];
rz(1.8344875616009553) q[2];
rx(1.812157204325591) q[3];
rz(1.271757682214492) q[3];
rx(3.118718742129317) q[4];
rz(2.20897... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IZIIIIIZI",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"IIIIZIIZI",
"IZIIZIIII",
"IIZIIIIZI",
"IZIIIZIII",
"IIIIIZZII",
"IIZZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIZIIII",
"IIZIIIIII",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
0,
-0.5,
-0.5,
-0.5,
0,
0
] | 0.976048 | [
2.9579253506743193,
0.058222947032727915,
-0.04811169624475185,
-1.4752813862770935,
1.9618763818190181,
0.26369123480605916,
1.812157204325591,
-0.2990386445804043,
3.118718742129317,
0.6381771273058185,
1.543336682320213,
0.22877264096011043,
2.8723032666106425,
0.030128658854177592,
0... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 33 |
-6174142874878976459 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 6], [3, 4], [2, 4, 6], [0, 1, 6], [2, 3, 5], [5, 6], [0, 2], [4, 7]]} | {"states": [243, 115], "expectation_value": -1.6359917948318188, "params": [0.6554, 0.6491, 1.2054, 1.1953, 1.1915, 1.1909, 1.1934, 1.195, 0.3821, 0.3869, 0.49860000000000004, 0.5339, 1.2054, 1.2017, 1.2017, 1.2005000000000001, 0.7681, 0.9743, -0.5708, 0.8923000000000001, 1.0633000000000001, 1.1833, 1.1869, 0.7276, -0.... | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.166666666... | 14 | 8 | 1 | {"smallest_eigenvalues": [-3.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["10001100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.051732955315304786) q[0];
cx q[3], q[0];
h q[4];
h q[5];
h q[6];
cx q[3], q[6];
rz(0.051732955315304786) q[6];
cx q[3], q[6];
cx q[0], q[6];
cx q[3], q[4];
rz(1.012500244714749) q[4];
cx q[3], q[4];
cx q[3], q[2];
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": []} | [
"IIIIZIIZ",
"IZIIZIII",
"IZIIIIIZ",
"IIIZZIII",
"IZIZIIII",
"IIIIZZII",
"IIIIIZIZ",
"IZIIIZII",
"IIIZIZII",
"IIIIIIZZ",
"IZIIIIZI",
"IIZIZIII",
"IZZIIIII",
"IIZIIZII",
"ZIIZIIII",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIZIIII",
"IIIIIZII",
"IIIIIIZI",
"IIZIIIII",
"ZIIIIII... | [
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.33333333333333326,
0.33333333333... | 0.484366 | [
0.051732955315304786,
0.21941390527816926,
1.012500244714749,
-0.03330234281122007,
-0.8022483997851703
] | {
"n_parameters": 5,
"n_qubits": 8,
"optimal_eigenvalue": -3.333333333333333,
"target_ratio": 0.97,
"target_value": -3.233333333333333
} | 148 |
-3870754373237163318 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4], [2, 4], [2, 3, 6], [1, 3, 5], [0, 1, 2], [1, 2, 6], [0, 2, 6], [2, 5, 6], [3, 4, 6], [0, 1, 3], [0, 4, 5]]} | {"states": [77, 58], "expectation_value": -0.09049178016103027, "params": [[-0.0575], [0.059000000000000004]], "bitstrings": ["0110010", "1000101"], "total_optimization_steps": 10, "probabilities": [0.008259124503933069, 0.008294804793252137], "optimization_time": 2.410520315170288} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.3333333333333333 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.6666666666666666 * (Z(6) @ Z(2)) + 0.33333333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.666666666666667, -2.666666666666667], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.6666666666666665, "smallest_bitstrings": ["1000101", "0110000"], "largest_eigenvalue": 10.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[1];
rz(-0.7053824737950012) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(-0.7053824737950012) q[2];
cx q[4], q[2];
cx q[1], q[2];
rz(0.014527072912356309) q[2];
cx q[1], q[2];
cx q[4], q[3];
rz(-0.003663030871549141) q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2]... | null | {"circuits": [], "gradients": []} | [
"IIZIIZI",
"IIZIZII",
"IIIIZZI",
"IIZZIII",
"IIIZIZI",
"IIIZZII",
"ZIZIIII",
"ZIIIIZI",
"ZIIIZII",
"ZIIZIII",
"IZZIIII",
"IZIIIZI",
"IZIIZII",
"IZIZIII",
"ZZIIIII",
"IIZIIIZ",
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"ZIIIIIZ",
"IZIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIIZII",
"III... | [
0.5,
0.5,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.6666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666... | 0.715662 | [
-0.7053824737950012,
0.014527072912356309,
-0.003663030871549141,
-1.2846328637354552,
-0.08280887157589187,
0.8821761186636274
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -2.666666666666667,
"target_ratio": 0.97,
"target_value": -2.586666666666667
} | 155 |
-3469639916124899485 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[2, 12], [12, 5], [0, 7], [8, 12], [2, 11], [9, 6], [9, 12], [3, 4], [10, 4], [0, 5], [1, 2], [8, 2], [1, 7], [12, 7], [4, 5], [8, 0], [5, 6], [3, 7], [0, 9], [9, 3], [10, 7]]} | {"states": [6743, 6727], "expectation_value": -0.8877885307727497, "params": [0.9331, 0.9405, 0.9610000000000001, 0.9608000000000001, 0.5885, 0.5868, 0.9555, 0.9635, 0.6442, 0.6453, 0.6462, 0.6362, 0.9565, 0.9587, 0.6288, 0.6326, 0.7402000000000001, 0.7348, 0.6142000000000001, 0.6175, 0.9421, 0.9404, 0.9900000000000001... | 0.5 * (Z(2) @ Z(12)) + 0.5 * (Z(5) @ Z(12)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(12)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(12)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(11) @ Z(2)) + 0.5 * (Z(9) @ Z(12)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * ... | 13 | 13 | 1 | {"smallest_eigenvalues": [-8.5, -8.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.5, "smallest_bitstrings": ["0010110111000", "1101001000111"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(1.451240118050875) q[0];
rz(-0.03564985702264219) q[0];
ry(1.4184979153978672) q[1];
ry(0.08033117652359595) q[2];
ry(1.6134418032539286) q[3];
ry(0.4855489523964188) q[4];
ry(0.39363297798713126) q[5];
ry(1.8806074545183318) q[6];
ry(0.09491009235349968) q[7];
ry(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIIIIZII",
"ZIIIIIIZIIIII",
"IIIIIIIZIIIIZ",
"ZIIIIZIIIIIII",
"IIIIIZIIIIIIZ",
"ZIIIZIIIIIIII",
"IIIIZIIIIIZII",
"IIIIZIIIIIIIZ",
"IZIIIIIIIIZII",
"ZIIZIIIIIIIII",
"IIIZIIIIIIIIZ",
"IIIIIIZZIIIII",
"IIIZIIZIIIIII",
"IIIIIZIIIZIII",
"IIIZIIIIIZIII",
"IIIIIIIZZIIII",
"IIIIIIIIZZI... | [
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,
0,
0,
0
] | 0.972087 | [
1.451240118050875,
1.4184979153978672,
0.08033117652359595,
1.6134418032539286,
0.4855489523964188,
0.39363297798713126,
1.8806074545183318,
0.09491009235349968,
0.41388784998303796,
-0.1452507893322671,
1.0134192017016768,
1.86063236402366,
1.1065305808110568,
-0.07129971404528437,
-0.0... | {
"n_parameters": 51,
"n_qubits": 13,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 67 |
-1728358969075004989 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[2, 4, 5, 6, 7, 9, 10, 12], [1, 10, 3, 9], [2, 3, 5, 8, 9, 11], [0, 1, 6, 7, 10, 12], [0, 2, 4, 6, 7, 9, 10, 11], [0, 2, 5, 6, 7, 9, 10]]} | {"states": [5103, 5039], "expectation_value": -0.8823740195284894, "params": [1.1879, 1.2946, 0.7223, 0.7234, 0.7060000000000001, 0.7489, 1.3794, 1.377, 0.6629, 0.7256, 1.2596, 1.3661, 0.7422000000000001, 0.7676000000000001, 1.3785, 1.3661, 0.6723, 0.6995, 1.3446, 1.377, 1.3882, 1.3247, 1.367, 1.3803, 1.3827, 1.3876000... | 0.03571428571428571 * (Z(2) @ Z(4)) + 0.017857142857142856 * (Z(5) @ Z(4)) + 0.075 * (Z(5) @ Z(2)) + 0.03571428571428571 * (Z(6) @ Z(4)) + 0.05952380952380952 * (Z(6) @ Z(2)) + 0.041666666666666664 * (Z(6) @ Z(5)) + 0.03571428571428571 * (Z(7) @ Z(4)) + 0.05952380952380952 * (Z(7) @ Z(2)) + 0.041666666666666664 * (Z(7)... | 14 | 13 | 1 | {"smallest_eigenvalues": [-1.1976190476190478, -1.1976190476190478, -1.1976190476190478], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.1976190476190476, "smallest_bitstrings": ["0110001010000", "0110000110000", "0001001110000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(1.7604047413804726) q[0];
rz(pi/2) q[0];
ry(0.727301358336291) q[1];
ry(0.38678483153926213) q[2];
ry(1.6361556036020857) q[3];
ry(1.688547193176751) q[4];
ry(1.662907409904309) q[5];
ry(0.5929099187498896) q[6];
ry(1.4023975813903518) q[7];
ry(-0.42991258617628664)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIIIIZIZII",
"IIIIIIIZZIIII",
"IIIIIIIZIIZII",
"IIIIIIZIZIIII",
"IIIIIIZIIIZII",
"IIIIIIZZIIIII",
"IIIIIZIIZIIII",
"IIIIIZIIIIZII",
"IIIIIZIZIIIII",
"IIIIIZZIIIIII",
"IIIZIIIIZIIII",
"IIIZIIIIIIZII",
"IIIZIIIZIIIII",
"IIIZIIZIIIIII",
"IIIZIZIIIIIII",
"IIZIIIIIZIIII",
"IIZIIIIIIIZ... | [
0.03571428571428571,
0.017857142857142856,
0.075,
0.03571428571428571,
0.05952380952380952,
0.041666666666666664,
0.03571428571428571,
0.05952380952380952,
0.041666666666666664,
0.09285714285714286,
0.03571428571428571,
0.09285714285714286,
0.075,
0.05952380952380952,
0.05952380952380952... | 0.970211 | [
1.7604047413804726,
0.727301358336291,
0.38678483153926213,
1.6361556036020857,
1.688547193176751,
1.662907409904309,
0.5929099187498896,
1.4023975813903518,
-0.42991258617628664,
1.9392911148341183,
1.823319890181239,
2.1192535202525833,
1.5807684641556896,
0.6863277915720403,
1.2145819... | {
"n_parameters": 50,
"n_qubits": 13,
"optimal_eigenvalue": -1.1976190476190478,
"target_ratio": 0.97,
"target_value": -1.1616904761904763
} | 38 |
92977879d93808800c1e23dcfc7674ef | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 3... | {"states": [1, 63], "expectation_value": -1.9709795825640752, "params": [[-0.07060000000000001, -0.0663, -0.07300000000000001], [0.0786, 0.0743, 0.07540000000000001]], "bitstrings": ["1111110", "1000000"], "total_optimization_steps": 10, "probabilities": [0.023448265887924532, 0.026044565406086975], "optimization_time"... | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(5)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + 1.0 * Z(2) + -0.25 * Z(0) + -0.25 * Z(5) + 0.0 * Z(1) + 0.25 * Z(6) + -1.5 * Z(3) + 0.... | 1 | 7 | 3 | {"smallest_eigenvalues": [-7.75, -7.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.75, "smallest_bitstrings": ["1000000", "1111110"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(1.3261269853696955) q[0];
ry(0.15280812214778283) q[0];
rz(-0.9337312810805996) q[0];
rz(1.9964547680865152) q[1];
ry(0.012800230110904963) q[1];
rz(-1.05764626837213) q[1];
rz(1.8549141366812627) q[2];
ry(0.11932868904959167) q[2];
rz(-1.180939263083199) q[2];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IZIIZII",
"IZIIIZI",
"ZIIIIIZ",
"ZIIIIZI",
"IIIZZII",
"IZIZIII",
"IIZIZII",
"IIZIIZI",
"IIZZIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
-0.25,
-0.5,
-0.5,
0.5,
-0.25,
-1.25,
-1.75,
-1,
-0.75,
-1,
1,
-0.25,
-0.25,
0,
0.25,
-1.5,
0.75
] | 0.971819 | [
0.2272475611940175,
0.4377124216033437,
0.007027150486334427,
0.8512983117083938,
0.06214994664994243,
0.5671964715179287,
0.7475781204584308,
-0.1054743656991431,
0.8578104341995038,
-0.0897300356332893,
0.7944609943390304,
1.1250250205416625,
0.10067833046202983,
-0.0870985131794334,
-... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 8 |
08610c5aca6038481f9547dfc4810ac4 | 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": 1}, {"source": 0, "target": 3}, {"source": 0, "targ... | {"states": [0, 16383], "expectation_value": -85.712296417166, "params": [[[0.0027, 1.6064], [0.0022, 0.0026000000000000003], [0.0031000000000000003, 0.0025], [0.0031000000000000003, -0.003], [0.0019, 0.0027], [0.0022, 0.0022], [0.0019, 0.002], [0.0022, 0.002], [-0.0029000000000000002, 0.0021000000000000003], [0.0021000... | -4.0 * (Z(0) @ Z(1)) + 2.5 * (Z(3) @ Z(1)) + -3.5 * (Z(3) @ Z(0)) + -4.0 * (Z(5) @ Z(1)) + -4.0 * (Z(5) @ Z(0)) + -4.0 * (Z(5) @ Z(3)) + -4.0 * (Z(7) @ Z(1)) + -2.5 * (Z(7) @ Z(0)) + -3.5 * (Z(7) @ Z(3)) + -4.0 * (Z(7) @ Z(5)) + -4.0 * (Z(2) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -4.0 * (Z(2) @ Z(3)) + -4.0 * (Z(2) @ Z(5)) + ... | 15 | 14 | 1 | {"smallest_eigenvalues": [-91.49999999999993], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -87.49999999999989, "smallest_bitstrings": ["00000000000000"], "largest_eigenvalue": 73.50000000000024} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
ry(0.05957131202356375) q[0];
ry(-0.006010646040721643) q[1];
ry(0.11763486914099314) q[2];
ry(0.11763486914099314) q[3];
ry(0.08088425412013134) q[4];
ry(-0.006010646040721643) q[5];
ry(0.08088425412013134) q[6];
ry(-0.006010646040721643) q[7];
ry(-0.1808606798527739)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZZ",
"IIIIIIIIIIZIZI",
"IIIIIIIIIIZIIZ",
"IIIIIIIIZIIIZI",
"IIIIIIIIZIIIIZ",
"IIIIIIIIZIZIII",
"IIIIIIZIIIIIZI",
"IIIIIIZIIIIIIZ",
"IIIIIIZIIIZIII",
"IIIIIIZIZIIIII",
"IIIIIIIIIIIZZI",
"IIIIIIIIIIIZIZ",
"IIIIIIIIIIZZII",
"IIIIIIIIZIIZII",
"IIIIIIZIIIIZII",
"IIIIIIIIIZIIZI"... | [
-4,
2.5,
-3.5,
-4,
-4,
-4,
-4,
-2.5,
-3.5,
-4,
-4,
1.5,
-4,
-4,
1.5,
-4,
1.5,
-4,
-4,
1.5,
-3,
-3.5,
1,
1.5,
-4,
1,
-3,
-3,
-3.5,
2,
-3.5,
-3,
1,
-3,
-3,
1,
-3,
-2.5,
-3,
1,
-3,
-2.5,
1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
... | 0.971658 | [
0.05957131202356375,
-0.006010646040721643,
0.11763486914099314,
0.08088425412013134,
-0.1808606798527739,
-0.00368669153276627,
-0.005899898260823443,
0.11006256156071378,
-0.007656252567461528,
2.4953143754081197,
-0.08484738633098804,
-0.09231892464783137,
-0.009069045117899324,
0.09801... | {
"n_parameters": 15,
"n_qubits": 14,
"optimal_eigenvalue": -91.49999999999993,
"target_ratio": 0.97,
"target_value": -88.75499999999992
} | 14 |
2b1c1c2594b19506ee13e210b86437bc | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": ... | {"states": [1023, 511], "expectation_value": -0.11709911852525504, "params": [[0.0201], [-0.014]], "bitstrings": ["0000000000", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.0010175775443596968, 0.0010187233601728581], "optimization_time": 3.0245778560638428} | -2.5 * (Z(1) @ Z(2)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + 1.0 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -2.5 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -2.0 * (Z(3) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(6)) + -2.0 * (Z(9) @ Z(7)) + 1.0... | 1 | 10 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rz(-3.141592378647437) q[0];
ry(0.6013653339636322) q[0];
rz(-1.5707966602346088) q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.6823355253379376) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.8409286048037767) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(-0.84092860... | 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[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[4];
... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIZIZII",
"IIIIIZIIZI",
"IIIIZIIZII",
"IIIIZIIIZI",
"IIIIZZIIII",
"IIIIIIZZII",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIIZIZIII",
"IIZZIIIIII",
"IZZIIIIIII",
"IZIZIIIIII",
"ZIZIIIIIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIZIIIII"... | [
-2.5,
-2,
-2,
1,
-2.5,
0.5,
-2.5,
1,
0.5,
-2,
-2,
1,
-2,
-2,
1,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.551168 | [
-0.6823355253379376,
-0.8409286048037767,
-0.46344128096660675,
0.011223086308874461,
-1.5707965154446841,
-0.9694309928312903
] | {
"n_parameters": 6,
"n_qubits": 10,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 183 |
33ac8030d60bd36659e1be94123cd6bf | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 0, "target": 9}, {"source": 0, "target":... | {"states": [112, 114], "expectation_value": -4.694949184225342, "params": [0.0027, 0.0021000000000000003, 0.09970000000000001, 0.0799, 0.34600000000000003, 0.31070000000000003, 1.0019, 0.9964000000000001, 1.0031, 1.0068000000000001, 1.0107000000000002, 1.0070000000000001, -0.0073, -0.0212, 0.0092, -0.0001, 0.9257000000... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(9)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * Z(4) ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -5.0, "smallest_bitstrings": ["1111100100", "1110001101", "1011100110", "1101001110", "1101100110", "1010001111", "1010011011", "1100011011", "1100001111", "10... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.12057922636945462) q[0];
rz(pi/2) q[0];
ry(-0.05229620480060787) q[1];
ry(0.20618565995145804) q[2];
ry(1.8847756153875934) q[3];
ry(1.8499515610329882) q[4];
ry(1.5223525071764412) q[5];
ry(0.06455917577374327) q[6];
ry(-0.3173828770568446) q[7];
ry(1.18977813041... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIZIIIIIIZ",
"IIZIZIIIII",
"ZIIIIIIIIZ",
"ZIZIIIIIII",
"IZIIIIIIIZ",
"IZIIIIIIZI",
"IZIIIIIZII",
"IIIIIIIZZI",
"ZIIIIIZIII",
"IIIZIZIIII",
"IIZZIIIIII",
"IIIZIIZIII",
"IIIIIZIIII",
"IIIIIIIIIZ",
"IIIIZIIIII",
"IIZIIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-2,
-0.5,
-1.5,
-1,
-1,
-0.5,
-0.5,
-0.5,
-1
] | 0.975385 | [
0.12057922636945462,
-0.05229620480060787,
0.20618565995145804,
1.8847756153875934,
1.8499515610329882,
1.5223525071764412,
0.06455917577374327,
-0.3173828770568446,
1.1897781304160282,
-0.13403446778945202,
-0.3408048383807514,
0.16828672699616648,
1.1298018060180663,
-0.26256428109821317... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 24 |
96ad00ceee3f9c4e7577fb22d2b67779 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 16, "source": 1, "target": 6}, {"weight": 11, "source": 1, "target": 5}, {"weight": 6, "source": 2, "targ... | {"states": [243, 218], "expectation_value": -22.80384134148911, "params": [[-0.0408, -0.0074, -0.009600000000000001], [0.0732, 0.059300000000000005, 0.0557]], "bitstrings": ["100001100", "100100101"], "total_optimization_steps": 10, "probabilities": [0.010007808367397645, 0.01504496274602431], "optimization_time": 6.45... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 17.0 * Z(2) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 146.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.08791191676338868) q[0];
ry(-0.33754507559349983) q[1];
rz(-pi) q[1];
h q[2];
ry(-23.54483630508895) q[2];
h q[3];
ry(14.060833410252924) q[3];
rz(-pi) q[4];
ry(-0.9826654190681591) q[4];
rz(-pi) q[5];
ry(-0.3059806607972074) q[5];
cx q[2], q[5];
ry(-4.691... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIZIIZII",
"IIIZZIIII",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIZIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
17,
0.5,
14.5,
12,
3,
14.5,
5,
11.5,
5
] | 0.970321 | [
-23.54483630508895,
-1.7344826067047194,
49.980197664918016,
9.383386224212316,
-6.271914019307241,
10.912726493420333,
29.956408283445157,
23.264278099504317,
38.151645845580276,
34.638908360457215,
0.779602309158077,
14.060833410252924,
33.81330841654803,
0.2555633208025561,
-0.0449921... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -83,
"target_ratio": 0.97,
"target_value": -80.50999999999999
} | 104 |
47c90a1844bb68a81c49cc01fe4989e8 | max_flow | 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": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 4}, {"capaci... | {"states": [239, 255], "expectation_value": -23.924361349409715, "params": [0.006200000000000001, -0.024200000000000003, 0.007, -0.0061, 1.5670000000000002, 0.0034000000000000002, 1.5712000000000002, -0.0029000000000000002, 1.5671000000000002, -0.003, -0.8308000000000001, 0.0022, 1.5692000000000002, 0.00130000000000000... | 0.5 * (Z(2) @ Z(4)) + 1.0 * (Z(3) @ Z(4)) + 2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + 2.0 * (Z(7) @ Z(3)) + 2.0 * (Z(7) @ Z(6)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z... | 18 | 10 | 2 | {"smallest_eigenvalues": [-24.833333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.833333333333332, "smallest_bitstrings": ["1100000000"], "largest_eigenvalue": 55.166666666666664} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.1813424485071628) q[0];
cx q[1], q[0];
rz(-0.12463552154992241) q[0];
rx(-1.2421529423468263) q[0];
rz(-0.2544248103281359) q[1];
rx(-1.2421529423468265) q[1];
cx q[1], q[0];
rz(-3.2205034676259676) q[0];
cx q[1], q[0];
rz(1.4810378... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIZZII",
"IIIZIIIZII",
"IIIZIIZIII",
"IIZIIIIZII",
"IIZIIIZIII",
"IIZZIIIIII",
"IIIIZIIZII",
"IIIIZIZIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"ZIIZIIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZZ",
"IIIIIZIIII",
"IIIIIIIZII"... | [
0.5,
1,
2,
0.5,
1,
1,
2,
2,
-0.5,
-1,
-0.5,
-1,
0.5,
1,
0.5,
1,
0.5,
-0.3333333333333333,
2,
4.5,
9,
5,
10,
-2,
2.5,
2.5,
-1,
-0.5
] | 0.950569 | [
0.06583836217984403,
0.02424617956702617,
0.02628092965861942,
-0.12463552154992238,
-0.25442481032813585,
-0.1813424485071628,
1.6448560843536073,
1.9812957884316302,
1.6043223553640227,
2.003992131822368,
1.9286176302370583,
1.298515420062773,
-1.2421529423468265,
-0.6759533731163639,
... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -24.833333333333336,
"target_ratio": 0.97,
"target_value": -24.088333333333335
} | 500 |
6019be0fa8c3633cf3c67a35b335404e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [3436, 3438], "expectation_value": -2.20833813629569, "params": [[[0.1734, 0.1183, 0.0041, 0.0085], [0.0453, 0.2846, 0.8233, -0.002], [0.895, 0.12510000000000002, 0.8896000000000001, 0.07300000000000001], [0.6771, -0.5182, 0.8821, 0.39980000000000004], [0.8925000000000001, -0.6234000000000001, 0.8942, -0.720... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 11 | 12 | 2 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eig... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-2.9507636748271096) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-0.07521630843221144) q[1];
h q[2];
ry(-1.6800855286387062) q[2];
h q[3];
ry(1.3941845997090168) q[3];
ry(-0.0810001177131385) q[4];
rz(-pi) q[4];
ry(-0.0810001177131385) q[5];
rz(-pi) q[5];
cx q[3], q[5];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZZZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIIZ",
"IIIIIIZIIIIZ",
"IIIIIIIZZIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIIIZZIIZ",
"IIIIIIZIZIIZ",
"IIIIIIZZIIIZ",
"IIIIIIZZZIII",
"IIIIIIZZZIIZ",
"IIIIIIIIZIZI",
"IIIIIZIIIIZI",
"IIIIZIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
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-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
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-0.... | 0.996927 | [
-1.6800855286387062,
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0.009830190470857945,
-0.07902666395579679,
-0.10094070682275826,
0.047627241742005444
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
4237641795173745163 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 2, 3, 4, 5], [0, 2, 5], [0, 1]]} | {"states": [27, 25], "expectation_value": -0.986529122951322, "params": null, "bitstrings": ["100100", "100110"], "total_optimization_steps": 35, "probabilities": [0.3517222392881918, 0.4355129549869645], "optimization_time": 37.29213261604309} | 0.05 * (Z(1) @ Z(2)) + 0.05 * (Z(3) @ Z(2)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(4) @ Z(2)) + 0.05 * (Z(4) @ Z(1)) + 0.05 * (Z(4) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(2)) + 0.05 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.1666666666666... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -0.8333333333333334, "smallest_bitstrings": ["100010", "100110", "100100", "011000", "010001"], "largest_eigenvalue": 2.4999999... | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.37149862566204545) q[0];
h q[1];
cx q[1], q[0];
ry(0.37149862566204545) q[0];
cx q[1], q[0];
ry(-0.35420884106212436) q[0];
ry(1.2834647633172755) q[1];
h q[2];
ry(1.3923493174572183) q[2];
cx q[2], q[0];
ry(0.35420884106212436) q[0];
cx q[2], q[0];
ry(-0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.0792) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIZZI",
"IIZZII",
"IIZIZI",
"IZIZII",
"IZIIZI",
"IZZIII",
"ZIIZII",
"ZIIIZI",
"ZIZIII",
"ZZIIII",
"IIIZIZ",
"IIIIZZ",
"ZIIIIZ",
"IIIZII",
"IIIIZI",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIIIZ"
] | [
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.21666666666666667,
0.05,
0.05,
0.05,
0.16666666666666666,
0.5,
0.16666666666666666,
0.26666666666666666,
0.09999999999999998,
0.1,
0.1,
0.26666666666666666,
0.16666666666666663
] | 0.972218 | [
1.3923493174572183,
-0.7429972513240909,
1.0093656653121181,
-0.7084176821242487,
0.5481981960103149,
-0.29891069800908776,
0.5715521064775292,
0.4974812703920636,
0.18559255813435493,
-0.22081467699692137,
0.3922535892965225,
0.3811939719349176,
-0.22356955744444618,
-0.4238847235498939,
... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -1.0333333333333332,
"target_ratio": 0.97,
"target_value": -1.0023333333333333
} | 3 |
ebed2b2f1ddd19051c3f8f1e6db408b8 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": []} | {"states": [375, 371], "expectation_value": -3.5360296022193163, "params": [1.3617000000000001, -0.35750000000000004, 0.7152000000000001, -0.4413, 1.3805, -0.1532, 1.3569, -0.217, 1.3896000000000002, -0.30960000000000004, 0.7284, -0.4726, 0.7525000000000001, -0.46280000000000004, 1.3613, -0.4167, 1.3676000000000001, -0... | 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)) + 0.5 * (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)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-2.815869706397565) q[0];
rz(-0.10266699916250133) q[0];
rx(2.938411203352395) q[1];
rz(-0.359908355829058) q[1];
rx(-0.027903752025837614) q[2];
rz(0.2181567296090501) q[2];
rx(3.0078051915562813) q[3];
rz(0.18559254664400454) q[3];
rx(0.33346172350010733) 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[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": []}} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIZIIZII",
"IIIZIZIII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.97428 | [
3.467315600782021,
-0.08758761771970738,
2.938411203352395,
-0.359908355829058,
-0.027903752025837614,
0.2181567296090501,
3.0078051915562813,
0.18559254664400454,
0.33346172350010733,
0.007502932029881421,
3.1040264026485866,
0.08178816583284416,
0.10051399472175349,
-0.3883946671857684,
... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 19 |
-8500000221948185388 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[3, 4], [9, 2], [3, 7], [8, 5], [8, 1], [9, 7], [9, 1], [9, 3], [8, 4], [5, 6], [2, 4], [0, 7]]} | {"states": [464, 976], "expectation_value": -0.712466272570411, "params": [0.9906, 0.2713, 0.9683, 0.003, 0.9927, 0.1111, 0.922, 0.0022, 0.9839, 0.10310000000000001, 0.9, 0.0055000000000000005, 0.9926, 0.1983, 0.9504, 0.008, 0.8519, -0.2579, 0.6475000000000001, 0.008400000000000001, 0.9925, -0.20420000000000002, 0.9809... | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(0) @ Z(7)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(9) + 0.0 * Z(2) + 0.0 ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -3.0, "smallest_bitstrings": ["1001001011", "0000101111", "1000110001", "1000101011", "1111010000", "1111001010", "0011001110", "110011... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(2.055791795655802) q[0];
rz(0.2313159884776521) q[0];
rx(1.5911077481706961) q[1];
rz(-0.26858798322351385) q[1];
rx(0.5844642280082427) q[2];
rz(-0.33639850110017333) q[2];
rx(1.8102101169129055) q[3];
rz(0.09555540931374029) q[3];
rx(-0.07002556631959037) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZIII",
"ZIIIIIZIII",
"IIIIIZIZII",
"ZIIIIIIZII",
"IIZIIIZIII",
"ZIZIIIIIII",
"IZIIIZIIII",
"IZIIZIIIII",
"ZIIIIIIIZI",
"IZIIIIIIZI",
"IIIZZIIIII",
"IIZIIIIIIZ",
"IIIIIZIIII",
"IIIIIIZIII",
"ZIIIIIIIII",
"IIIIIIIZII",
"IIZIIIIIII",
"IZIIIIIIII",
"IIIIZIIIII",
"IIIIIIIIZI"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.974304 | [
2.055791795655802,
0.24290522290161715,
1.5911077481706966,
-0.3199890948215274,
0.5844642280082428,
-0.38402550483806747,
1.8102101169129052,
0.08769146885824533,
-0.07002556631959037,
0.442933333232994,
1.827924759327162,
-0.25964229437959674,
-0.0015670511480851829,
-0.17506443252275,
... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 106 |
-967126649071182889 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 3, 4], [0, 1, 4, 5], [0, 3, 5], [1, 3, 5], [2, 4]]} | {"states": [23, 7], "expectation_value": -1.0770135747526073, "params": [[[1.5084, 0.0028], [1.5267000000000002, 0.003], [0.4665, 0.0032], [2.6123000000000003, 0.0006000000000000001], [2.7045000000000003, 0.0057], [2.6421, 0.005200000000000001]]], "bitstrings": ["101000", "111000"], "total_optimization_steps": 270, "pr... | 0.3333333333333333 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.25 * (Z(... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.6666666666666665, -1.6666666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["111000", "000011"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.28646917780577125) q[0];
h q[1];
ry(-0.21288557983581693) q[1];
h q[2];
ry(-0.3693847961777379) q[2];
h q[3];
ry(1.3674467312446743) q[3];
h q[4];
cx q[4], q[2];
ry(0.3693847961777379) q[2];
cx q[4], q[2];
ry(-0.8829323147994256) q[2];
ry(1.185945583480173... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IZZIII",
"IZIIIZ",
"IIZIZI",
"IIIIZZ",
"IZIIZI",
"ZIZIII",
"ZIIIIZ",
"ZZIIII",
"ZIIIZI",
"IZIZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"ZIIIII",
"IIIZII"
] | [
0.3333333333333333,
0.16666666666666666,
0.25,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.3333333333333333,
0.25,
0.08333333333333333,
0.25,
0.5,
0.5,
0.45833333333333337,
0.29166666666666663,
0.29166666666666663,
0.45833333333333337,
0
] | 0.971093 | [
1.3674467312446743,
-0.7387695923554758,
0.9723458465919347,
-0.7409797062481965,
0.4271994737764786,
-0.5729383556115425,
-0.2839052171024578,
0.697331217964839,
-0.7421100018793677,
0.5435979169850839,
-0.42142636591858124,
-0.42577115967163387,
0.33217829496716955,
0.23511559418885125,
... | {
"n_parameters": 26,
"n_qubits": 6,
"optimal_eigenvalue": -1.6666666666666665,
"target_ratio": 0.97,
"target_value": -1.6166666666666665
} | 10 |
0b4befd1b6021b98538c021e6b01d7d2 | 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": 6}, {"weight": 11, "source": 0, "target": 4}, {"weight": 19, "source": 1, "target": 2}, {... | {"states": [218, 122], "expectation_value": -6.720747103458449, "params": [[0.049], [-0.051300000000000005]], "bitstrings": ["00100101", "10000101"], "total_optimization_steps": 10, "probabilities": [0.006358299333331852, 0.007058577838093786], "optimization_time": 2.6071343421936035} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 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(1)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 9.0 * Z(0) + 6.5 * Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.01397968868372599) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.01397968868372599) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.01397968868372599) q[2];
cx q[0], q[2];
rz(1.49705474763927) q[2];
rx(-0.4289462383307536) q[2];
h q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[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": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
9,
6.5,
13.5,
18,
5.5,
16,
1.5
] | 0.970109 | [
0.01397968868372599,
0.5085249205910766,
-1.5267868634678496,
1.4970547476392697,
1.2949275225586785,
-1.1149933922168591,
0.9054003815470787,
-0.49552292257893105,
-0.4289462383307536,
0.0177838660194501,
1.054237269205935,
0.14538943434979795,
0.4013926854345311,
0.14512282522157288,
-... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 55 |
4816d8f1ff3fcf1f26d33946dcce79cf | 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": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [3286, 3287], "expectation_value": -2.7877494923692683, "params": [[[1.3059, -0.0009000000000000001], [1.3021, -0.0009000000000000001], [0.2913, 0.49500000000000005], [0.0614, -0.6216], [1.2959, -0.0022], [1.3054000000000001, -0.0016], [0.0039000000000000003, 0.6815], [1.3030000000000002, -0.0019], [0.679900... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(0) @ Z(2) @ Z(1)) + 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)) + 0.5 * (Z(5) @ Z(6)) + 0.0625 * (Z(5) @ Z(1)) + 0.0625 * (Z(1) @ Z(7)) + 0.0625 * (Z(1) @ Z(8)) + 0.0625 * (Z(9) @ Z(1)) ... | 1 | 12 | 2 | {"smallest_eigenvalues": [-4.4375, -4.4375, -4.4375, -4.4375, -4.4375], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.4375, "smallest_bitstrings": ["001101000010", "001010110000", "010100100001", "001100101000", "100000110001"], "largest_eigenvalue": 7.5625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.6026145562578797) q[0];
rz(1.4317042572050749) q[0];
rx(-0.019500574013069524) q[1];
rz(2.1312497718782506) q[1];
rx(1.512125373790639) q[2];
rz(1.5185098326712279) q[2];
rx(-0.19529309928938243) q[3];
rz(1.6544519173823957) q[3];
rx(1.5995226946423722) q[4];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZZZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIIZ",
"IIIIIIIZZIII",
"IIIIIIIZZIIZ",
"IIIIIZZIIIII",
"IIIIIIZIIIZI",
"IIIIZIIIIIZI",
"IIIZIIIIIIZI",
"IIZIIIIIIIZI",
"IIIIZIZIIIII",
"IIIZIIZIIIII",
"IIZIIIZIIIII",
"IIIZZIIIIIII",
"IIZIZIIII... | [
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... | 0.972443 | [
1.6026145562578795,
-0.13909206958982132,
-0.019500574013069524,
0.5604534450833538,
1.5121253737906393,
-0.052286494123668925,
-0.19529309928938246,
0.0836555905874981,
1.599522694642372,
-0.11325046590500537,
0.6435205970609649,
-0.46056416064325717,
2.0849605571093672,
-0.08422748147474... | {
"n_parameters": 45,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 19 |
59b55089c15cad6a91f754f2be38a436 | 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": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [88, 74], "expectation_value": -4.4965156243236875, "params": null, "bitstrings": ["0100111", "0110101"], "total_optimization_steps": 26, "probabilities": [0.0670089403141236, 0.9297461660317703], "optimization_time": 27.676433324813843} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(6) + -1.0 * Z(3) + -0.5 * Z(5) + -0.5 * Z(2) + -1.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["0111001", "0110101", "0100111"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-2.930992925974156) q[0];
rz(-2.0505334193883) q[0];
rx(0.09974558989948948) q[1];
rz(-0.021916551230833636) q[1];
cx q[1], q[0];
rz(0.7487040703349622) q[0];
cx q[1], q[0];
rz(0.03143390177930412) q[1];
rx(3.064188251569036) q[2];
rz(1.260785857636634) q[2];
rx(3.1... | 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",
"ZIIIIZI",
"ZIIIIIZ",
"IIIZIZI",
"ZIIZIII",
"IZIIIZI",
"IZIIZII",
"ZIZIIII",
"IIZZIII",
"IIZIZII",
"IIIIIZI",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IZIIIII",
"IIIIZII",
"IIZIIII"
] | [
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,
-0.5,
-0.5,
-1
] | 0.978586 | [
3.352192381205431,
-1.3018293490533377,
0.09974558989948948,
-0.021916551230833636,
3.064188251569036,
1.0242823876125022,
3.1401663157651902,
-0.039487779968993025,
-0.24892087794353424,
0.13415136123448565,
3.4156926946764425,
0.5404877583717977,
0.05848107904958504,
0.21099505519505057,... | {
"n_parameters": 28,
"n_qubits": 10,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 50 |
fc603aae74a127a53d7b15155a35177e | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 12, "source": 1, "target": 2}, {"weight": 18, "source": 1, "target": 7}, {"weight": 7, "source": 2, "tar... | {"states": [413, 220], "expectation_value": -10.972665789670176, "params": [[-0.0466], [0.0736]], "bitstrings": ["001100010", "100100011"], "total_optimization_steps": 10, "probabilities": [0.0041795596192531065, 0.004581287663228262], "optimization_time": 2.1757779121398926} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 13.5 * Z(2) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.0, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 161.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.12600111597027835) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.12600111597027835) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.12600111597027835) q[1];
cx q[0], q[1];
rz(-0.7094581060834471) q[0];
rx(0.06131908867994372) q[0];
h q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[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", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIZIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
13.5,
5,
15,
12.5,
18,
12,
15,
6.5,
0.5
] | 0.974056 | [
-0.12600111597027835,
1.3067247501817936,
-0.7094581060834483,
1.2847492232068922,
-0.6159332494798558,
1.8244581211638342,
1.4514479566830987,
-0.7129505066649858,
-1.0491840220649427,
0.06131908867994373,
0.0752940319779882,
-0.4954143064920319,
-0.13474376247105507,
0.052450775178995906... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -76,
"target_ratio": 0.97,
"target_value": -73.72
} | 61 |
-5180362657472888325 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 4, 7], [8, 2, 6], [0, 1, 7], [8, 2, 7], [1, 5], [8, 4, 5], [3, 5], [8, 1, 2], [1, 2, 3], [8, 1, 7], [0, 8, 2], [3, 6], [0, 5], [0, 3, 4], [3, 4, 7], [0, 1, 3], [0, 2, 6], [0, 1, 4], [8, 2, 3], [0, 2, 3], [2, 5, 6], [5, 6, 7], [2, 4, 6]]} | {"states": [471, 407], "expectation_value": -3.0749447163045316, "params": [0.9914000000000001, 0.0045000000000000005, 0.9924000000000001, 0.0094, 1.0038, 0.0045000000000000005, 0.9998, 0.0034000000000000002, 0.9926, 0.0046, 0.9814, 0.008, 0.9907, 0.0051, 0.9902000000000001, 0.0005, 0.9996, 0.0038, 0.9928, 0.0015, 0.97... | 0.3333333333333333 * (Z(2) @ Z(4)) + 0.3333333333333333 * (Z(7) @ Z(4)) + 0.3333333333333333 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(8) @ Z(4)) + 0.8333333333333333 * (Z(8) @ Z(2)) + 0.3333333333333333 * (Z(8) @ Z(7)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.6666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.999999999999999, "smallest_bitstrings": ["001001000", "001101000", "001011000"], "largest_eigenvalue": 20.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.2634827036735583) q[0];
rz(1.1842654281082359) q[0];
rx(1.9957280145167242) q[1];
rz(1.1842654281082359) q[1];
rx(0.010129112379256013) q[2];
rz(1.4866984872930882) q[2];
rx(1.1721148670376322) q[3];
rz(2.222868674137244) q[3];
rx(1.6125816051764814) q[4];
rz(1.832... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIZIZII",
"IZIIZIIII",
"IZIIIIZII",
"ZIIIZIIII",
"ZIIIIIZII",
"ZZIIIIIII",
"IIZIZIIII",
"IIZIIIZII",
"IZZIIIIII",
"ZIZIIIIII",
"IIIIZIIIZ",
"IIIIIIZIZ",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"IIZIIIIIZ",
"IIIIZIIZI",
"IIIIIIZZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IIIIIIIZZ",
"IIIZZIIII",
"... | [
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.8333333333333333,
0.3333333333333333,
0.16666666666666666,
0.6666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.166666666666666... | 0.971171 | [
1.2634827036735583,
-0.3865308986866607,
1.9957280145167242,
0.010129112379256013,
-0.08409783950180857,
1.1721148670376322,
0.6520723473423475,
1.6125816051764816,
0.26216444705881364,
0.34412808907149384,
0.29344312045654525,
2.1332854568948263,
-0.12051078033447034,
1.3387254876603443,
... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 43 |
ae05ce72b7df15983d820553f894fc63 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 7, "target": 8}]} | {"states": [0, 223], "expectation_value": -4.159033466661929, "params": [0.6585000000000001, 0.1874, -0.5625, 0.0092, 0.7655000000000001, 0.3796, -0.6559, 0.0045000000000000005, -0.6123000000000001, 0.20090000000000002, 0.313, 0.0068000000000000005, -0.7598, 0.5413, -0.0322, 0.0034000000000000002, -0.8204, 0.8492000000... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(7)) + 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) | 6 | 8 | 1 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["00100000"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.24279984391901235) q[0];
h q[1];
cx q[1], q[0];
ry(-0.24279984391901235) q[0];
cx q[1], q[0];
ry(-0.0004400047019670686) q[1];
cx q[0], q[1];
ry(0.0004400047019670686) q[1];
cx q[0], q[1];
ry(-0.23967923788221276) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.145401828... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII",
"IIIIIZII"
] | [
-1,
-1.5,
0.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.973918 | [
-0.2908036565721266,
1.3209232710417103,
-0.002736437045535332,
1.0136834876312257,
0.4855996878380247,
-0.0008800094039341372,
-1.5378684118805621,
0.2774179041563867,
2.132930272990895,
0.5447618955045739,
-0.6844614367496664,
0.10784489451936338,
0.11545183609082532,
0.4135026459357565,... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 69 |
11576eab70c2ec583415b5e8bd58f9e2 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [6, 7], "expectation_value": -0.7301794207540568, "params": [[[0.42560000000000003, -0.0852], [0.4273, -0.08560000000000001], [0.4209, -0.0876], [0.599, -0.0024000000000000002], [0.5722, -0.0025], [0.5734, -0.001]], [[0.4197, -0.0852], [0.4258, -0.08560000000000001], [0.4194, -0.0876], [0.6014, 0.00240000000... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 *... | 1 | 6 | 3 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000", "110010"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3716796306065885) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.3716796306065885) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.3716796306065885) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.3716796306065885) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
1.75,
1.75,
1.75,
1.75,
1.75,
2,
2,
2,
1.75,
2,
2,
2,
2,
2,
1.75,
-0.75,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25
] | 0.698312 | [
-0.3716796306065885,
0.8727381071204077,
0.7179543098390148,
-0.19857375753212136,
0.8889599314407369,
-1.5807265779890087,
2.4860629174438844,
1.2068334987105587,
0.4724410059780224
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 259 |
8b8ec451ddee6b27fc17090b6e911eee | 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": 1, "target": 3}, {"source": 1, "target": 7}, {"source": 1, "target": 8}, {"sour... | {"states": [350, 346], "expectation_value": -2.7085403986987044, "params": [1.5862, 0.0076, 0.0036000000000000003, 0.0007, 1.7108, 0.0057, 1.5178, 0.0063, 1.7101000000000002, 0.0095, 1.7071, 0.0051, 1.5666, 0.0025, 1.6228, 0.009300000000000001, -0.0026000000000000003, 0.0077, 0.0034000000000000002, 0.0022, 0.0031000000... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(5) @ Z(8)) + -0.5 * Z(6) + 0.0 * Z(0) + 0.0 * Z(2) + -1.5 * Z(1) + -0.5 * Z(3) + -0.5 * Z(7) + -1.5 * Z(8) + 0.0 * Z(4) + 0.0 * Z(5) | 3 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["010100101", "110100001", "110000011", "010000111"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(3.105609440314043) q[0];
rz(0.6972823858970205) q[0];
rx(-0.15980754868984834) q[1];
rz(-0.7093417213565623) q[1];
rx(2.7305253788330854) q[2];
rz(1.3332023256542893) q[2];
rx(0.13240824262001338) q[3];
rz(0.3409724510882257) q[3];
rx(2.773463816953395) q[4];
rz(0.10... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IIIIIIZZI",
"IIIIIZIZI",
"IZIIIIIZI",
"IZIIIZIII",
"ZIZIIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZIIZIIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIZIIII",
"IIIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
0,
-1.5,
-0.5,
-0.5,
-1.5,
0,
0
] | 0.977305 | [
3.105609440314043,
0.34082350862620214,
-0.1598075486898483,
-1.2516202015051403,
2.7305253788330854,
1.216444729692072,
0.13240824262001338,
0.6689893149702087,
2.773463816953395,
-0.439214770149741,
3.00712552663688,
-0.656033727763966,
-0.0825853981844054,
-1.1855471609112778,
2.99344... | {
"n_parameters": 23,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 23 |
cde6b48ed870286595c1455af7aff8bd | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}]} | {"states": [2927, 2925], "expectation_value": -1.0827806128514161, "params": [1.3654000000000002, 1.3681, 0.7238, 0.7202000000000001, 1.3667, 1.3582, 1.3082, 1.3032000000000001, 0.7576, 0.7452000000000001, 1.3647, 1.3293000000000001, 1.3797000000000001, 1.3818000000000001, 0.7043, 0.6954, 1.3705, 1.3683, 1.4014, 1.4003... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + -0.0020833333333333333 * (Z(3) @ Z(0)) + -0.0020833333333333333 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(3)) + -0.0020833333333333333 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0020833333333333333 * (Z(6) @ Z(0)) + 0.0006944444444444... | 13 | 12 | 1 | {"smallest_eigenvalues": [-2.0041666666666664, -2.0041666666666664], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.004166666666666, "smallest_bitstrings": ["001001001001", "010010010010"], "largest_eigenvalue": 5.962500000000003} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": 2, "number_of_communities": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIZI",
"IIIIIIIZZIII",
"IIIIIIZIIZII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIZIII",
"IIIIZIIIIIZI",
"IIIIZIIZIIII",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IIIZZIIII... | [
0.25,
0.25,
0.25,
-0.0020833333333333333,
-0.0020833333333333333,
0.25,
-0.0020833333333333333,
0.25,
0.25,
-0.0020833333333333333,
0.0006944444444444445,
-0.0020833333333333333,
0.0006944444444444445,
0.25,
-0.0020833333333333333,
0.0006944444444444445,
0.25,
0.25,
-0.0020833333... | 0.989 | [
1.5946656311860272,
1.4546236341953724,
-1.3915392123108226,
-1.043543998175015,
-0.7696115407594695,
0.5858465026550362,
0.5980335866172003,
-0.5311148471859957,
0.6361651825545125,
-0.4145474599646862,
-0.39359418429255133,
-0.3850745616697103,
-0.5256664875247946,
-0.3291045904565906,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 1 |
a38675d53d722227ef740a74a5426a27 | 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": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [45, 47], "expectation_value": -2.142452526402954, "params": [[[0.5306000000000001, 0.0018000000000000002], [-0.0217, 0.0035], [-0.1449, -0.0019], [0.6031000000000001, 0.048], [0.17250000000000001, 0.19410000000000002], [0.3544, 0.11460000000000001], [0.2144, 0.128], [0.3806, 0.534], [0.5979, 0.5951000000000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(7) @ Z(2)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(7) @ Z(6)) + -0.125 * (Z(3) @ Z(6) @ Z(2)) + ... | 15 | 9 | 4 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.375, "smallest_bitstrings": ["111010000", "101010001", "101001001", "101100001", "101011000", "101001010", "011010100"], "largest_eigenvalue": 6.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.5141994421129809) q[0];
h q[1];
ry(1.390141942064535) q[1];
h q[2];
ry(-0.5141994421129809) q[2];
h q[3];
cx q[3], q[0];
ry(0.5141994421129809) q[0];
cx q[3], q[0];
ry(-0.6573848412878611) q[0];
ry(1.0688525533137359) q[3];
h q[4];
ry(-1.560193965859156) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIIZZZIII",
"IIZIIIIIZ",
"IIIIIZZII",
"IIZIIIZII",
"IZIIIIZII",
"IIZIIZIII",
"IZIIIZIII",
"IZZIIIIII",
"IIZIIZZII",
"IZIIIZZII",
"IZZIIIZII",
"IZZIIZIII",
"IZZIIZZII",
"IZIIZIIII",
"ZIIIZIIII",
"ZZIIIIIII",
"ZZIIZIIII",
"... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.5,
-0.25,
-0.625,
0.125,
0,
0,
-0.125,
0.125,
0
] | 0.99545 | [
-1.560193965859156,
-1.6256424106349383,
1.390141942064535,
-1.0283988842259617,
0.8351950134156189,
-0.46570245239628766,
0.4673150797962339,
-0.3833647777831469,
0.17942834723555207,
0.2603514411697678,
-0.015966545811498617,
-0.09901389533504207,
0.1486764616653704,
-0.04676080723319257... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
5ad3d07c93c10eb5ddb83b76d90ba5ea | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [486, 230], "expectation_value": -59.59530350627909, "params": [1.4806000000000001, 0.0038, 2.7036000000000002, 0.0012000000000000001, 2.7031, 0.0029000000000000002, 2.6925000000000003, 0.0012000000000000001, 0.8633000000000001, 0.0032, 0.0019, 0.0056, 2.7103, 0.0058000000000000005, 2.7029, 0.002400000000000... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(0)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(7) @ Z(8)) + 9.5 * Z(0) + 9.0 * Z(1) + 20.5 * Z(3) + 7.0 * Z(2) + 2.5 * Z(4) + 2.0 * Z(6) + -6.0 * Z(5) + 4.0 * Z... | 18 | 9 | 1 | {"smallest_eigenvalues": [-82.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.0, "smallest_bitstrings": ["100011001"], "largest_eigenvalue": 136.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.5626972325796114) q[0];
rz(0.019003234948374637) q[0];
rx(3.0663134073998313) q[1];
rz(0.3722060803959867) q[1];
rx(3.226109492481277) q[2];
rz(0.16460315457765134) q[2];
rx(3.1957239306926106) q[3];
rz(0.3722060803959867) q[3];
rx(-0.09300227876206413) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IIZZIIIII",
"ZIIIIIIZI",
"IZIIIIIIZ",
"IZIIIZIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
9.5,
9,
20.5,
7,
2.5,
2,
-6,
4,
14.5
] | 0.971839 | [
0.5626972325796114,
-0.05205069300791096,
3.0663134073998313,
0.3722060803959867,
3.226109492481277,
0.16460315457765134,
3.1957239306926106,
-0.09300227876206413,
0.02010135826206522,
-0.04843603517345417,
-0.10752362828491241,
3.1601517917379818,
-1.2231987575933738,
3.271943209869128,
... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -82,
"target_ratio": 0.97,
"target_value": -79.53999999999999
} | 13 |
7bc4dde9a09d0b94c5097b219891d81a | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [48615, 48855], "expectation_value": -12.364451685021905, "params": [[0.2267], [-0.2511]], "bitstrings": ["0100001000011000", "0100000100101000"], "total_optimization_steps": 30, "probabilities": [0.0005401295977819118, 0.0005406132625146783], "optimization_time": 18.306644678115845} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.25 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(... | 1 | 16 | 1 | {"smallest_eigenvalues": [-19.99999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999897, "smallest_bitstrings": ["0100000100101000"], "largest_eigenvalue": 68.00000000000009} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rz(-0.8856201491506983) q[0];
ry(0.20607187143120437) q[0];
rz(1.691443220073766) q[0];
rz(1.9404906187072166) q[1];
ry(0.12101153113441158) q[1];
rz(-1.8772538795087437) q[1];
rz(-2.137783534785648) q[2];
ry(0.08595900488246716) q[2];
rz(1.6840356586029337) q[2];
rz(0.... | 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[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];
... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 0}, {"source": 3, "target": 2}, {"source": 3, "target": 0}, {"source": 2, "target": 0}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIZIIZIII",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZZIIIIII",
"IIIIIIIIIIIZZIII",
"IIIIIII... | [
0.5,
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0.5,
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... | 0.987235 | [
0.11953274834359354,
0.2854334628168601,
-0.11213716823678,
0.2175735915324961,
0.058537607426864216,
-0.2041489905535785,
1.195421164250731,
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0.21361350790414543,
0.08320735516977537,
-0.038044942888873196,
-0.02371278444846299,
-0.1628380576660834,
0.9476996835334291,... | {
"n_parameters": 22,
"n_qubits": 4,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 5 |
0e3132c92d00e6c55b78f95cbfc3c30b | 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": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target":... | {"states": [0, 768], "expectation_value": -20.30236575771002, "params": [-0.0034000000000000002, 0.9033, 0.4345, -0.0037, 1.8012000000000001, -0.0, 0.0023, 0.009300000000000001, -0.0027, 0.0027, 0.0023, 0.003, 0.0024000000000000002, 0.0001, -0.0024000000000000002, 0.0092, 0.0026000000000000003, 0.0049, -0.0027, 0.0082,... | -0.25 * (Z(0) @ Z(3)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(10) @ Z(3)) + -0.75 * (Z(10) @ Z(0)) + -0.5 * (Z(10) @ Z(6)) + -0.25 * (Z(10) @ Z(7)) + -1.0 * (Z(1) @ Z(6)) + 2.75 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + -0.5 * (Z(5... | 4 | 11 | 1 | {"smallest_eigenvalues": [-21.25, -21.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -20.25, "smallest_bitstrings": ["10011111001", "10011111111"], "largest_eigenvalue": 21.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.09531659022162578) q[0];
rz(2.6590921967332815) q[0];
rx(0.466810266558904) q[1];
rz(1.4884807506178337) q[1];
rx(2.4343229515767426) q[2];
rz(1.3490327465539131) q[2];
rx(-0.01660316382622424) q[3];
rz(1.5170950232261866) q[3];
rx(0.1064708112359996) q[4];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IIIIZIIIIIZ",
"IIIZIIIZIII",
"IIIZIIIIIIZ",
"ZIIIIIIZIII",
"ZIIIIIIIIIZ",
"ZIIIZIIIIII",
"ZIIZIIIIIII",
"IIIIZIIIIZI",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIZIZIII",
"IIIIZZIIIII",
"IIIZIZIIIII",
"ZIIIIZIIIII",
"IIIIIZIIIZI",
"IIIIIIZZIII",
"IIIZIIZIIII",
"ZIIIIIZII... | [
-0.25,
-0.75,
-0.5,
-0.75,
-0.25,
-0.75,
-0.5,
-0.25,
-1,
2.75,
-1,
-0.5,
-2,
-0.5,
-1.25,
-0.75,
-0.75,
-1.75,
-1.25,
-0.75,
-0.75,
-0.75,
-0.5,
-1.25,
-0.5,
-0.75,
-0.5,
-0.25,
-1.25,
-2.25,
-0.25,
-1.75,
-2.75,
0.25,
1.25,
0.25,
0.25,
2,
... | 0.970993 | [
-0.0953165902216258,
1.0882958699383845,
0.466810266558904,
-0.08231557617706316,
2.4343229515767426,
-0.22176358024098353,
-0.01660316382622424,
-0.053701303568709675,
0.10647081123599957,
-0.06334434392249916,
0.05024793632380284,
-0.021353178145562403,
0.20757369967632128,
-0.0513142660... | {
"n_parameters": 29,
"n_qubits": 11,
"optimal_eigenvalue": -21.25,
"target_ratio": 0.97,
"target_value": -20.6125
} | 6 |
1514334434500569460 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 3], [5, 6], [2, 3, 7], [0, 5], [8, 2, 3], [1, 6, 7], [0, 1, 2, 6, 8], [4, 6]]} | {"states": [359, 295], "expectation_value": -1.8674753874170804, "params": [1.0012, -0.0024000000000000002, 0.9850000000000001, 0.0023, 0.9472, -0.0001, 0.7085, 0.007200000000000001, 0.9983000000000001, -0.0011, 0.9936, 0.0004, 0.998, 0.003, 0.9908, 0.0077, 1.0048000000000001, -0.0032, 0.2686, 0.0098, 0.987000000000000... | 0.5 * (Z(1) @ Z(3)) + 0.21666666666666667 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.3333333333333333 * (Z(2) @ Z(3)) + 0.05 * (Z(2) @ Z(1)) + 0.05 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.0... | 6 | 9 | 1 | {"smallest_eigenvalues": [-3.1999999999999993, -3.1999999999999993], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.866666666666667, "smallest_bitstrings": ["011011000", "100100100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.5328152521501326) q[0];
rz(1.5460697308750726) q[0];
rx(1.067270104295086) q[1];
rz(1.5908086724492545) q[1];
rx(2.4426805816179207) q[2];
rz(1.5177926413458813) q[2];
rx(1.30163865538691) q[3];
rz(1.5749678631123505) q[3];
rx(0.4059998443413694) q[4];
rz(1.2918482... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIZIZI",
"IIZIIIIZI",
"IIZZIIIII",
"IIIIIZZII",
"IIIIIIZZI",
"IIZIIIZII",
"IZIIIZIII",
"IZIIIIIZI",
"IZZIIIIII",
"IZIIIIZII",
"IIIIIIIZZ",
"IIZIIIIIZ",
"IIIZIIIIZ",
"IIIIIIZIZ",
"ZIIIIZIII",
"ZIIIIIIZI",
"ZIZIIIIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"IIZIZIIII",
"IIIIIZIII",
"... | [
0.5,
0.21666666666666667,
0.5,
0.3333333333333333,
0.05,
0.05,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.05,
0.05,
0.5,
0.05,
0.16666666666666666,
0.05,
0.05,
0.21666666666666667,
0.05,
0.5,
0.33333333333333326,
0.2666666666666668... | 0.973643 | [
1.5328152521501326,
-0.024726595919824033,
1.0672701042950865,
0.02001234565435834,
2.4426805816179207,
-0.05300368544901478,
1.3016386553869101,
0.004171536317453355,
0.4059998443413695,
-0.27894803234490323,
-0.046012291788681964,
1.0330361925403515,
3.4118866282182787,
-0.33327827985179... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -3.1999999999999993,
"target_ratio": 0.97,
"target_value": -3.103999999999999
} | 244 |
-641314730446620475 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 5, 7], [1, 3, 5], [2, 3], [4, 6], [0, 4], [2, 7], [0, 2], [0, 1, 5]]} | {"states": [151, 108], "expectation_value": -1.3673330893701863, "params": [[-0.4455], [0.4239]], "bitstrings": ["01101000", "10010011"], "total_optimization_steps": 50, "probabilities": [0.029560746864891446, 0.02969870788585135], "optimization_time": 2.1338067054748535} | 0.16666666666666666 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.3333333333333333 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(0)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.499999999999999, "smallest_bitstrings": ["10010011"], "largest_eigenvalue": 5.499999999999998} | 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[4];
rz(-0.14900109712129117) q[4];
cx q[5], q[4];
h q[6];
h q[7];
cx q[5], q[7];
rz(-0.14900109712129117) q[7];
cx q[5], q[7];
cx q[4], q[7];
cx q[5], q[1];
rz(-0.5398376911125051) q[1];
cx q[5], q[1];
cx 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;
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[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[5], q[7];
rz(x0) q[7];
cx q[5], q[7];
cx q[4], q... | null | {"circuits": [], "gradients": []} | [
"IIZZIIII",
"ZIZIIIII",
"ZIIZIIII",
"IIZIIIZI",
"IIZIZIII",
"IIIIZIZI",
"ZIIIIZII",
"IIIIZZII",
"IZIZIIII",
"IIZIIIIZ",
"IIIZIIIZ",
"IIIIIIZZ",
"IIIIIZIZ",
"IIZIIIII",
"IIIZIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIZIII",
"IIIIIZII",
"IZIIIIII",
"IIIIIIIZ"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.4999999999999999,
0.16666666666666674,
0.16666666666666663,
0.3333333333333333,
0.166666... | 0.50107 | [
-0.14900109712129117,
-0.5398376911125051,
-0.8435103229485169,
0.16038579978653048,
0.8101081879699822
] | {
"n_parameters": 5,
"n_qubits": 8,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 137 |
c86917abe9264b33bf2c4187d24dbc9b | 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": [407, 406], "expectation_value": -82.26147234895961, "params": [0.23090000000000002, 0.463, 1.0011, 0.0009000000000000001, 1.0009000000000001, 0.1063, 0.0049, 0.5943, 0.00030000000000000003, 0.6209, 0.9992000000000001, 0.1695, 0.3715, 0.3744, 1.0, -0.0023, 0.9909, -0.12810000000000002, 0.5324, -0.2389, 0.233... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(7) @ Z(1)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(9) @ Z(1)) + 6.0 * (Z(9) @ Z(7)) + 6.0 * (Z(8) @ Z(5)) + 6.0 * (Z(8) @ Z(6)) + 6.0 * (Z(8) @ Z(9)) + 3.0 * Z(0) + 12.0 * Z(1) + 5.5 * Z(2) + -4.5 * Z(3) + 14... | 18 | 10 | 3 | {"smallest_eigenvalues": [-95.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["1001101001"], "largest_eigenvalue": 145.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.3930287116578409) q[0];
rz(-0.3209753508257731) q[0];
rx(3.013684375619182) q[1];
rz(0.1725480107096922) q[1];
rx(3.088579262763333) q[2];
rz(-0.09977248925515855) q[2];
rx(-0.004913919622566969) q[3];
rz(0.15483978293492343) q[3];
rx(0.015703937504275067) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIZZIIII",
"IIIZZIIIII",
"IIZIIIIIZI",
"IIZZIIIIII",
"ZIIIIIIIZI",
"ZIZIIIIIII",
"IZIIZIIIII",
"IZIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIZIIIIIII"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
3,
12,
5.5,
-4.5,
14,
-3.5,
7.5,
15,
10.5,
14
] | 0.977876 | [
0.3930287116578409,
-0.1388660832137325,
3.013684375619182,
0.1725480107096922,
3.088579262763333,
-0.09977248925515855,
-0.004913919622566969,
0.15483978293492343,
0.015703937504275067,
0.037774015763328395,
3.1123070069905956,
0.0025191572976188533,
0.14015673355180167,
-0.43782131569595... | {
"n_parameters": 27,
"n_qubits": 10,
"optimal_eigenvalue": -95.5,
"target_ratio": 0.97,
"target_value": -92.63499999999999
} | 12 |
b383d5e4264711dd92b4a62180be161a | 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": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [228, 212], "expectation_value": -3.576528530063576, "params": [0.4047, 0.0006000000000000001, 0.40640000000000004, 0.0007, 0.39990000000000003, 0.0033, 0.4053, 0.0023, 0.39890000000000003, 0.1268, 0.39440000000000003, 0.1155, 0.3966, 0.1746, 0.4012, 0.16090000000000002, 0.0012000000000000001, 0.2051, -0.001... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(6) + -0.5 * Z(0) + -1.5 * Z(7) + -0.5 * Z(1) + -1.5 * Z(4) + -0.5 * Z... | 7 | 8 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["00011011", "00101011", "01010011"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(3.0332244253269307) q[0];
rz(-1.2524076165554017) q[0];
rx(-0.0004267548407218824) q[1];
rz(-0.3158017146599542) q[1];
rx(0.030053797261078763) q[2];
rz(-0.26818809358821727) q[2];
rx(3.1747865724033715) q[3];
rz(0.4083189776417641) q[3];
rx(-0.11134647485010626) 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": []} | [
"IZIIIIIZ",
"ZIIIIIIZ",
"IZIIIIZI",
"IZIZIIII",
"ZIIZIIII",
"IIIZIIZI",
"ZIIIIZII",
"ZIIIZIII",
"IIIZZIII",
"IIIIZZII",
"IZZIIIII",
"IZIIIIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-0.5,
-1.5,
-0.5,
-1,
0
] | 0.988562 | [
3.0332244253269307,
-1.2524076165554017,
-0.0004267548407218824,
-0.3158017146599542,
0.030053797261078763,
-0.26818809358821727,
3.1747865724033715,
0.4083189776417641,
-0.11134647485010626,
-0.835731162971559,
3.1382595116019316,
0.019298666902241607,
3.2356831343129304,
-1.5822524420831... | {
"n_parameters": 22,
"n_qubits": 11,
"optimal_eigenvalue": -4.625,
"target_ratio": 0.97,
"target_value": -4.48625
} | 40 |
206b6c7126e1a43a7c0a57973e02662d | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 6... | {"states": [123, 119], "expectation_value": -6.396069375875401, "params": null, "bitstrings": ["110000100", "110001000"], "total_optimization_steps": 72, "probabilities": [0.08999310077217346, 0.8309706613940097], "optimization_time": 129.73675680160522} | -0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(8)) + 0.5 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000100", "101001000", "110001000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.7716469204925558) q[0];
h q[1];
ry(-0.419743548754394) q[1];
h q[2];
cx q[2], q[1];
ry(0.419743548754394) q[1];
cx q[2], q[1];
ry(-0.3394805577791961) q[1];
ry(1.0930006028280734) q[2];
h q[3];
ry(1.59285799405076) q[3];
rz(-pi) q[4];
ry(-3.136526372442517... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIZIIIZI",
"IIIIIIZZI",
"IIIZIIZII",
"IIIIZZIII",
"IIIZIIIIZ",
"IZIZIIIII",
"IZIIIIIIZ",
"ZIIZIIIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIZZIIIII",
"IIZIIIIIZ",
"IZZIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IZIIIIIII",
"... | [
-0.5,
0.5,
-0.5,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
0.5,
1,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
-1,
0.5,
1,
1.5,
0,
1.5,
1.5,
-0.5
] | 0.979066 | [
1.59285799405076,
1.5261005232355722,
-1.5432938409851116,
-1.35113857066744,
0.770395955888187,
-0.4800519968211978,
0.6181638241406239,
-0.17087313757605851,
-0.839487097508788,
0.8636913290500219,
-0.6789611155583922,
0.4586185475561028,
-0.41596033641871777,
-0.0189624931872691,
0.18... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 1 |
13e277d5bba2e0a51781e013b0aaec0d | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"sour... | {"states": [248, 254], "expectation_value": -12.584181791122615, "params": null, "bitstrings": ["00000111", "00000001"], "total_optimization_steps": 100, "probabilities": [0.08708766325820039, 0.5652625599835441], "optimization_time": 127.36732268333435} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6) + -0.5 * Z(7) | 5 | 8 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["00000001"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.04848018767550534) q[0];
ry(0.038162308020827776) q[1];
ry(0.038162308020827776) q[2];
ry(0.014685493463854504) q[3];
ry(-0.021878753336167407) q[4];
ry(-0.0776482663037506) q[5];
ry(-1.5911698483794967) q[6];
ry(0.004050798357405627) q[7];
cx q[7], q[0];
cx q[6],... | null | {"node": 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];\ncry(1.5706) q[5], 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] = mea... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIZIIII",
"IZIIZIII",
"IZZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
-1.5,
-1.5,
-1.5,
-2,
1,
-2,
-2,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.97002 | [
-0.04848018767550534,
0.038162308020827776,
0.014685493463854504,
-0.021878753336167407,
-0.0776482663037506,
-1.5911698483794967,
0.004050798357405627,
3.1378342450416943,
0.052846810971086774,
-0.03757032562228365
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 2 |
6d4bc3f3c748c072751bca4882dd10e8 | 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": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 2, "ta... | {"states": [212, 244], "expectation_value": -3.5257450094179537, "params": [0.20850000000000002, 0.0024000000000000002, 0.20750000000000002, 0.0025, 0.20850000000000002, -0.0019, 0.2071, -0.0025, 0.19440000000000002, 0.0, 0.19720000000000001, 0.0023, 0.202, -0.0025, 0.19890000000000002, -0.0026000000000000003, -0.0032,... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * Z(6) + -0.5 * Z(0) + -1.0 * Z(7) + -1.5 * Z(4) + 0.0 * Z(1) + -1.0 * Z(2) + 0.0 * Z(3) + 0.0 ... | 7 | 8 | 4 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["00001011"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.8906699286862619) q[0];
rz(-0.4858442767777706) q[0];
ry(1.247097764291965) q[1];
rz(0.5501366557862412) q[1];
cx q[1], q[0];
ry(1.0245416821364386) q[0];
rz(0.3023601116211282) q[0];
ry(-0.07679630409725732) q[1];
rz(-0.41183140777796096) q[1];
ry(0.51726801846252... | 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": []} | [
"IZIIIIIZ",
"ZZIIIIII",
"ZIIIIIIZ",
"IZIZIIII",
"IIIZIIZI",
"IZIIIZII",
"ZIIIIZII",
"IIIZIZII",
"IZIIZIII",
"IIZZIIII",
"IZIIIIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIZIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1,
-1.5,
0,
-1,
0,
0
] | 0.978589 | [
0.8906699286862619,
-0.4858442767777706,
1.247097764291965,
0.5501366557862412,
0.5172680184625209,
1.3368698241690706,
0.1638483179538822,
-0.8847922029511961,
-0.2473061988760381,
0.06266229940997688,
-0.011449760620368746,
-0.09641250425556014,
-0.02976966865877266,
0.3901268224329061,
... | {
"n_parameters": 81,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 66 |
3132913001446100727 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 2, 3, 6], [0, 9, 8], [3, 4, 5, 6, 7, 10], [8, 10, 6], [0, 1, 2, 3, 6, 7, 10], [0, 1, 2, 3, 4, 5, 9, 10, 11], [1, 2, 4, 5, 8, 9, 11]]} | {"states": [1783, 1767], "expectation_value": -1.6062827973088885, "params": [[[-0.0029000000000000002, 1.5614000000000001, 0.0009000000000000001, 0.0078000000000000005], [-0.020300000000000002, 1.5614000000000001, 0.0024000000000000002, 0.0067], [1.568, -0.0022, 1.5681, 0.008400000000000001], [1.7469000000000001, -0.0... | 0.10714285714285714 * (Z(10) @ Z(4)) + 0.12103174603174602 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(10)) + 0.10714285714285714 * (Z(8) @ Z(4)) + 0.25 * (Z(8) @ Z(10)) + 0.14047619047619048 * (Z(8) @ Z(5)) + 0.037698412698412696 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(10)) + 0.037698412698412696 * (Z(... | 11 | 12 | 1 | {"smallest_eigenvalues": [-1.6642857142857135, -1.6642857142857135, -1.6642857142857135], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.6309523809523807, "smallest_bitstrings": ["100100011000", "100100101000", "000100001101"], "largest_eigenvalue": 7.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.030224836574520596) q[0];
rz(1.6748267185790964) q[0];
ry(-0.08638361951966943) q[1];
rz(1.6748267185790964) q[1];
cx q[1], q[0];
ry(0.15687312290346733) q[1];
rz(0.05893751263771864) q[1];
ry(1.5597264881870803) q[2];
rz(0.022689080694393897) q[2];
ry(1.593321296... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IZIIIIIZIIII",
"IIIIIIZZIIII",
"IZIIIIZIIIII",
"IIIZIIIZIIII",
"IZIZIIIIIIII",
"IIIZIIZIIIII",
"IIIIIIIZIIIZ",
"IZIIIIIIIIIZ",
"IIIIIIZIIIIZ",
"IIIZIIIIIIIZ",
"ZIIIIIIZIIII",
"ZZIIIIIIIIII",
"ZIIIIIZIIIII",
"ZIIIIIIIIIIZ",
"IIIIIZIZIIII",
"IZIIIZIIIIII",
"IIIIIZZIIIII",
"IIIZIZIII... | [
0.10714285714285714,
0.12103174603174602,
0.08333333333333333,
0.10714285714285714,
0.25,
0.14047619047619048,
0.037698412698412696,
0.16666666666666666,
0.037698412698412696,
0.023809523809523808,
0.037698412698412696,
0.19047619047619047,
0.013888888888888888,
0.18055555555555555,
0.03... | 0.971771 | [
0.030224836574520596,
1.6748267185790964,
-0.08638361951966943,
1.5597264881870803,
0.022689080694393897,
1.5933212967298083,
-0.06436328622506632,
1.5604666321447833,
-0.01028518359192479,
0.3495843254533477,
1.1633403734364491,
1.3893773698823761,
-0.010440743480289623,
1.177066356748079... | {
"n_parameters": 41,
"n_qubits": 12,
"optimal_eigenvalue": -1.6642857142857135,
"target_ratio": 0.97,
"target_value": -1.614357142857142
} | 3 |
bdecee327be13c765ee9b1d8d9a781df | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [14, 78], "expectation_value": -5.384339539199589, "params": [0.0224, -0.4093, 0.803, 0.011000000000000001, 0.33390000000000003, 0.22690000000000002, 0.5058, 0.0123, 0.8074, -0.0038, 0.8015, -0.001, 0.7995, 0.0015, -0.012400000000000001, 0.402, 0.007200000000000001, 0.2612, 0.8082, 0.0126, 0.2497, -0.0869, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + -1.0 * Z(1) ... | 4 | 8 | 2 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["10110001"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.14499683553362774) q[0];
rz(1.0607018975708975) q[0];
rx(1.326584058823754) q[1];
rz(1.497159659593871) q[1];
rx(0.24851513992120344) q[2];
rz(1.639737163889139) q[2];
rx(0.16877132479635265) q[3];
rz(1.5544727054737777) q[3];
rx(1.1119580213982494) q[4];
rz(1.706... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIZIIIIZ",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIZIIII",
"IIIIZIZI",
"IIIZZIII",
"IIZIZIII",
"ZIIIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIZIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-2,
-1.5,
-1.5,
-0.5,
-2,
-1.5,
0
] | 0.970987 | [
-0.1449968355336277,
-0.5100944292239994,
1.3265840588237539,
-0.07363666720102562,
0.24851513992120347,
0.06894083709424235,
0.16877132479635265,
-0.016323621321118822,
1.1119580213982494,
0.1355346777237751,
0.9495768097422091,
0.24661287116656772,
1.6104294144932558,
0.1393341503343476,... | {
"n_parameters": 46,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 15 |
94dd9c8568f88dcb3e4d7e2fe1b8d82a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6... | {"states": [0, 1], "expectation_value": -6.516472388413472, "params": [[[0.0033, 0.0057], [0.0025, 0.0051], [-0.0025, 0.0092], [0.0023, 0.0028], [0.0025, 0.008400000000000001], [0.0023, 0.008400000000000001], [1.6038000000000001, 0.004]]], "bitstrings": ["1111111", "1111110"], "total_optimization_steps": 160, "probabil... | -0.5 * (Z(0) @ Z(3)) + 0.75 * (Z(6) @ Z(0)) + -1.25 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(6) + -0.5 * Z(1) + -0.25 * Z(2) + -1.75 * Z(5) + 2.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["1000000", "1111110"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.01696964563984058) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.6257158851690002) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.8826680353858664) q[2];
cx q[3], q[2];
h q[4];
h q[5];
cx q[3], q[5];
rz(0.44149109525872793) q[5];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"ZIIIIIZ",
"IIIZIZI",
"ZIIIIZI",
"IIIZZII",
"IIIIZZI",
"IZIZIII",
"IIZIZII",
"IZZIIII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"IIZIIII"
] | [
-0.5,
0.75,
-1.25,
-0.5,
-1,
-0.25,
-0.75,
-1,
-1.5,
0.5,
-0.25,
0.25,
-0.5,
-0.25,
-1.75,
2
] | 0.872663 | [
0.01696964563984058,
0.12295109747947061,
0.6257158851690002,
0.8826680353858664,
0.5860523152796467,
0.44149109525872793,
0.33128169600839774,
0.2852731024582777,
-1.0288623657695086,
0.5339911888699572,
-0.13975071708561476,
1.1869116100653803,
0.04328033325172488,
-0.8178563442900494,
... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 500 |
15a5f37f6b324be94a7fa874923284e5 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "ta... | {"states": [5, 7], "expectation_value": -14.037524246290117, "params": [[[0.22010000000000002, 0.187], [0.2566, 0.1908], [0.2677, -0.19010000000000002], [0.22740000000000002, 0.187], [0.2232, 0.18630000000000002], [0.5938, -0.0017000000000000001], [0.5936, 0.0013000000000000002], [0.6013000000000001, -0.000600000000000... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2... | 1 | 8 | 3 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.08660647235805458) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.08660647235805458) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.08660647235805458) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.08660647235805458) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIZIIIZI",
"IIZIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
2.75,
3,
3,
2.75,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
-7,
-7.25,
-7,
-7.25,
-7.25,
-6.5,
-6.5,
-6.25
] | 0.9711 | [
-0.08660647235805458,
-0.12731865885304094,
0.486571998827358,
0.7706787253710705,
-0.8608749269636787,
-0.3691202591452013,
0.9610136853971378,
-0.12372097609642718,
0.008478123483654525,
1.277526397553868,
0.6268134313552999,
-0.10538367740546278,
-0.7851989999830177,
0.6744201652912936,... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 86 |
12625ff7963f220cedd44f15c6035b49 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 1}, {"capacity": 4, "so... | {"states": [1761, 1765], "expectation_value": -17.236113372409587, "params": [-0.0012000000000000001, 0.5141, -0.0038, 0.531, 0.683, 0.3995, 0.631, 0.14830000000000002, 0.0711, 0.4431, 0.6946, -0.0046, 0.6925, 0.009300000000000001, 0.6940000000000001, 0.0017000000000000001, -0.0026000000000000003, 0.5303, -0.0023, 0.53... | -1.0 * (Z(8) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(8)) + 2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(8)) + 4.0 * (Z(4) @ Z(3)) + -1.0 * (Z(9) @ Z(2)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(3)) + -2.0 * (Z(9) @ Z(4)) + 1.0 * (Z(5) @ Z(6)) + 2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + -0.5 *... | 18 | 13 | 4 | {"smallest_eigenvalues": [-19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -18.75, "smallest_bitstrings": ["1110000010010", "1110000001101", "1110000001010", "1100100011010", "1100100011101", "1101000011010", "1101000011101", ... | 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];
h q[6];
cx q[6], q[5];
rz(0.0337115844172802) q[5];
cx q[6], q[5];
h q[7];
cx q[6], q[7];
rz(0.018414539975709646) q[7];
cx q[6], q[7];
cx q[5], q[7];
rz(-2.0778790141223) q[6];
rx(1.332290205529361) q[6];
rz(0.0337115844... | 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": 4} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIZII",
"IIIIIIIIIZZII",
"IIIIZIIIIZIII",
"IIIIIIIIZIZII",
"IIIIZIIIZIIII",
"IIIIIIIIZZIII",
"IIIZIIIIIIZII",
"IIIZZIIIIIIII",
"IIIZIIIIIZIII",
"IIIZIIIIZIIII",
"IIIIIIZZIIIII",
"IIIIIZZIIIIII",
"IIIIIZIZIIIII",
"IIIIIIIIIIZIZ",
"IIIIZIIIIIIIZ",
"IIIIIIIIIZIIZ",
"IIIIIIIIZII... | [
-1,
2,
-2,
2,
-2,
4,
-1,
1,
-2,
-2,
1,
2,
1,
0.5,
-0.5,
1,
1,
-0.5,
0.5,
-0.5,
1,
1,
-0.5,
0.25,
-0.5,
0.5,
-1,
-1,
0.5,
-0.5,
-0.5,
-1,
1,
-2,
-2,
1,
-1,
-1,
1,
-0.5,
0.5,
-1,
-1,
0.5,
-0.5,
-0.5,
0.5,
1,
2,
-2,
4,
... | 0.934646 | [
-0.017945495095570838,
0.018414539975709646,
-0.01256029963426791,
-0.822997322774261,
0.0337115844172802,
0.09403212308213957,
-0.049568322743649015,
-0.09733760106877386,
-2.0778790141223,
-0.6586234365540318,
1.117303174346778,
1.332290205529361,
0.16829227678709818,
-0.1470933503730152... | {
"n_parameters": 34,
"n_qubits": 13,
"optimal_eigenvalue": -19.75,
"target_ratio": 0.97,
"target_value": -19.1575
} | 500 |
441958230409063588 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 9], [0, 5], [0, 4], [2, 6], [3, 4], [1, 7], [9, 7], [9, 6], [8, 7], [8, 5], [8, 0], [0, 6], [0, 9], [1, 2], [1, 5], [2, 3], [8, 3], [2, 5], [3, 5], [2, 4], [0, 7], [0, 3], [4, 7], [8, 1], [9, 5], [8, 4], [8, 9], [3, 6]]} | {"states": [707, 643], "expectation_value": -0.10530506273371425, "params": [0.6971, 0.0018000000000000002, 0.6946, 0.0031000000000000003, 0.6937, 0.0034000000000000002, 0.6974, 0.0026000000000000003, 0.7050000000000001, -0.0024000000000000002, 0.7041000000000001, 0.0045000000000000005, 0.6977, 0.003, 0.6984, 0.0062000... | 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101111100", "1111000001", "0010011110", "1010000011", "1101100001", "0011000111", "1100111000", "0100111010", "1011000011", "01... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(2.0895943037353) q[0];
rz(1.7213546969651565) q[0];
rx(0.1442897306294057) q[1];
rz(0.5169092652754688) q[1];
rx(0.2440628700057781) q[2];
rz(1.5071377616167627) q[2];
rx(0.3279092357059502) q[3];
rz(0.8025742576237418) q[3];
rx(-0.3232937126330429) q[4];
rz(1.05551... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIZIIIII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIIZIIIZ",
"IIIIIIIZZI",
"IIIIZIIZII",
"IIIIIZIZII",
"ZIIZIIIIII",
"IIIZIIIIIZ",
"IIIZIIIZII",
"IIIIIIZIIZ",
"IIIIZIZIII",
"IIIIIZZIII",
"IIIIIIZZII",
"IIIZIIZIII",
"ZIZIIIIIII",
"IIZIIIIIZI",
"IIZIIIIIIZ"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.972246 | [
2.0895943037353,
0.15055837017026016,
0.14428973062940573,
-1.0538870615194278,
0.24406287000577812,
-0.06365856517813438,
0.3279092357059502,
-0.7682220691711548,
-0.32329371263304296,
-0.5152806538792613,
0.05520384342375051,
-0.33085984903234167,
-1.5088253256279236,
0.0474330265556027,... | {
"n_parameters": 45,
"n_qubits": 10,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 126 |
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