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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
8a5dc9be309c81780f6428266fc77bbc | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 1, "target": 2}]} | {"states": [375, 371], "expectation_value": -4.783084307121465, "params": [0.5388000000000001, 0.19920000000000002, 0.3234, 0.27690000000000003, 0.7714000000000001, -0.0071, 0.7703, 0.0256, 0.5968, 0.1842, 0.31930000000000003, 0.2485, 0.3229, 0.2684, 0.7673, 0.06620000000000001, 0.5791000000000001, 0.0528, 0.5327000000... | 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... | 18 | 9 | 4 | {"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... | 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 2, "target": 1}]}} | {"circuits": [], "gradients": []} | [
"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 |
9d0fda9991561362ccfc12e66c38b9f5 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [35, 52], "expectation_value": -1.3753922845720719, "params": [[0.0697, 0.0682, 0.0743, 0.07100000000000001], [-0.076, -0.0645, -0.0692, -0.06470000000000001]], "bitstrings": ["011100", "001011"], "total_optimization_steps": 10, "probabilities": [0.03422550354776138, 0.034225503547761396], "optimization_time... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(2) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(5) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "011100", "001011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.05915602651802649) q[0];
rz(-0.15469163530750052) q[0];
rx(3.4191362901712914) q[1];
rz(0.45246714787639103) q[1];
rx(0.17983961904902268) q[2];
rz(-0.05096309531274679) q[2];
rx(3.0050058723652) q[3];
rz(1.0763901855253808) q[3];
rx(3.085973281590634) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIIZZI",
"ZIIZII",
"ZIIIZI",
"IIZZII",
"ZIZIII",
"IZIZII",
"IZZIII",
"IIIZII",
"IIIIIZ",
"IIIIZI",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-0.5,
-1,
-1,
-0.5
] | 0.971457 | [
-0.05915602651802648,
-0.1292100876511263,
3.4191362901712914,
0.45246714787639103,
0.17983961904902268,
-0.05096309531274679,
3.0050058723652,
1.0763901855253808,
3.085973281590634,
0.20126058805128294,
3.3609533359992207,
0.3973179116121901,
0.08371651178469919,
-0.042244168201899246,
... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 21 |
d55d504e597705d8581d37ec0d2e41ca | 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": 1}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 1, "target": 6... | {"states": [126, 63], "expectation_value": -1.168029976893207, "params": [[0.0024000000000000002, 1.2811000000000001, 0.004, 0.7324, 0.0022, 1.3038, -0.0032], [0.2867, 0.0045000000000000005, -0.0172, -1.2809000000000001, 0.0013000000000000002, 0.0023, 1.2854], [-0.0038, 0.9326000000000001, -0.29410000000000003, 0.2141,... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(5)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + 0.75 * Z(1) + -0.25 * Z(0) + -0.5 * Z(6) + -0.5 * Z(5) + -0.5 * Z(2) + 0.75 * Z(3) + 0.25 * Z(4) | 9 | 7 | 4 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["1000000", "1010010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6828792687147329) q[0];
h q[1];
ry(1.5288445153467216) q[1];
h q[2];
h q[3];
ry(1.5288445153467216) q[3];
h q[4];
ry(1.4916621282624816) q[4];
h q[5];
ry(0.7458310641312408) q[5];
cx q[2], q[5];
ry(-0.7458310641312408) q[5];
cx q[2], q[5];
ry(0.59828678975... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"ZIIIIZI",
"ZIIIIIZ",
"IZIIIZI",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"ZIZIIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"ZIIIIII",
"IZIIIII",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
-0.25,
-0.75,
0.5,
-0.5,
-1,
-0.5,
-0.25,
-0.25,
-0.25,
0.75,
-0.25,
-0.5,
-0.5,
-0.5,
0.75,
0.25
] | 0.989602 | [
1.5288445153467216,
1.4916621282624816,
1.550097850061895,
-1.3657585374294658,
1.196573579508862,
0.11369926623801563,
-0.014047065055423413,
0.09207660432302629,
-0.10038361002430576,
0.08382100900060677,
0.15687837360702134,
-0.10724578865064746,
0.0600104112675679,
0.05940034969983188,... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 1 |
7bc4dde9a09d0b94c5097b219891d81a | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 2}]} | {"states": [0, 9], "expectation_value": -2.2499055589377397, "params": null, "bitstrings": ["1111", "0110"], "total_optimization_steps": 12, "probabilities": [1.730029747643551e-05, 0.9999393551708786], "optimization_time": 7.069214820861816} | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(0) @ Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + -0.25 * Z(0) + -0.5 * Z(1) + -0.25 * Z(3) + -0.75 * Z(2) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.25, "smallest_bitstrings": ["0110"], "largest_eigenvalue": 3.75} | 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 | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5486) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"IIZZ",
"ZIIZ",
"IZIZ",
"ZZII",
"ZZIZ",
"ZIZI",
"IIIZ",
"IIZI",
"ZIII",
"IZII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.25,
-0.5,
-0.25,
-0.75
] | 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 |
d7a525ce4c2e3aa682dbfbc5ee640032 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [70, 7], "expectation_value": -6.41085154370113, "params": [[0.0648, 0.0488, -0.0383], [-0.0741, -0.0719, -0.0201]], "bitstrings": ["0111001", "1111000"], "total_optimization_steps": 10, "probabilities": [0.018711743620772575, 0.019910596482286564], "optimization_time": 9.180110692977905} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 11 | 7 | 3 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027051847789835787) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.027051847789835787) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.027051847789835787) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.027051847789835787) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
-3.5,
-3.5,
-3.25,
-3.25,
-3,
-2.75,
-2.75
] | 0.976706 | [
0.027051847789835787,
-0.03206344691167204,
1.6851099918626093,
1.7238436867176876,
-1.4190839315479138,
-1.6226342532152522,
1.4767707881526164
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 75 |
2e7f793de123eae9d3862516256ff644 | 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": 5}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"sour... | {"states": [0, 113], "expectation_value": -4.227223283315928, "params": [0.6007, 0.0019, 0.3803, 0.0066, 0.6008, 0.0035, 0.3856, 0.0035, 0.6038, -0.0033, 0.6058, 0.0017000000000000001, 0.6108, 0.0029000000000000002, 0.6052000000000001, 0.0013000000000000002, 0.608, 0.0017000000000000001, 0.607, 0.0098, 0.3189, -0.0008,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(1) ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.5, "smallest_bitstrings": ["010001111", "110001110", "110011100", "101011010", "101001110"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.6761772623673965) q[0];
rz(1.766113022565273) q[0];
rx(0.22043321338812094) q[1];
rz(2.40218922847928) q[1];
rx(2.0300677680797645) q[2];
rz(1.5949464269439986) q[2];
rx(2.0341779491138174) q[3];
rz(1.8107129032051752) q[3];
rx(1.8903765929569487) q[4];
rz(1.533947... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IIIZIIIZI",
"IIIZIIIIZ",
"IZIIIIIZI",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"ZIIZIIIII",
"IIIIIIZZI",
"IIIZIIZII",
"IZZIIIIII",
"IIZIIIZII",
"IIIZIZIII",
"IZIIZIIII",
"IIZIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIZII",
"IIZIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-2,
-1.5,
-0.5,
-1,
-1,
0,
-0.5
] | 0.97197 | [
0.6761772623673964,
0.19531669577037647,
0.22043321338812094,
0.8313929016843836,
2.0300677680797645,
0.02415010014910176,
2.0341779491138174,
0.23991657641027855,
1.8903765929569487,
-0.036849235721647604,
-0.008739658190923493,
-0.025705408549258846,
0.13808558770565113,
-0.7581177348573... | {
"n_parameters": 42,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 65 |
-1380098830073423629 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3], [0, 1], [0, 4], [0, 2], [0, 5], [5, 6]]} | {"states": [30, 54], "expectation_value": -2.6144110540561374, "params": null, "bitstrings": ["1100001", "1001001"], "total_optimization_steps": 48, "probabilities": [0.056036349160389104, 0.7989352625672765], "optimization_time": 41.53440523147583} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["0110110", "1001001"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.07261351412815469) q[0];
h q[1];
h q[2];
ry(0.5595921112437373) q[2];
h q[3];
ry(-0.07261351412815469) q[3];
cx q[1], q[3];
ry(0.07261351412815469) q[3];
cx q[1], q[3];
ry(1.6788470627639054) q[1];
ry(-1.320179001707631) q[3];
h q[4];
h q[5];
cx q[5], q[0]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[5], 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... | [
"IIIZIZI",
"IIIIIZZ",
"IIZIIIZ",
"IIIIZIZ",
"IZIIIIZ",
"ZZIIIII",
"IIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IIIIZII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.971407 | [
-0.14522702825630937,
1.5090435620518985,
-1.3298066063508556,
-0.30596893309681295,
1.569939749316795,
-1.5909694076706433,
1.4248150725451498,
-0.5633134034074004,
1.1191842224874746,
0.33960700142401345,
0.2759301229166524,
0.01925520928644981,
0.3492290225745296,
-0.9971739494491859,
... | {
"n_parameters": 38,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 23 |
082b6c86bc8d553008a81e548bf0a65e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [0, 3], "expectation_value": -12.630859830662727, "params": [-0.0032, 0.6079, 0.0027, 0.5386000000000001, 0.0027, 0.5608000000000001, 0.003, 0.734, 0.0029000000000000002, 0.7325, 0.0026000000000000003, 0.7511, 0.0027, 0.7495, -0.32230000000000003, -0.0001, 0.9993000000000001, -0.0001, -0.0032, -0.22790000000... | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(7) @ Z(2)) + -1.25 * (Z(7) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(7)) + -1.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -1.5 * (Z(3) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(3)) + 2.25 * (Z(8) @ Z(0)) + -1.75 * (Z(8... | 4 | 9 | 2 | {"smallest_eigenvalues": [-13.5, -13.5, -13.5, -13.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -12.5, "smallest_bitstrings": ["111111100", "111001000", "111000000", "111011100"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.01995827998848688) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[5], q[3];
rz(0.0011424779715897004) q[3];
cx q[5], q[3];
h q[6];
h q[7];
cx q[2], q[7];
rz(0.0604644772113118) q[7];
cx q[2], q[7];
cx q[0], q[7];
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[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IZIIIIZII",
"IZIIIIIIZ",
"IIIIIIZZI",
"IZIIIIIZI",
"IIIIZIZII",
"IZIIZIIII",
"IIIIZIIZI",
"IIIZIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IIZIIZIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"ZIIIIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIZIIIII",
"... | [
-0.75,
-0.25,
-1.25,
-2,
-0.25,
-1.75,
-0.5,
-0.25,
-1.5,
-1.25,
-1.25,
-0.75,
2.25,
-1.75,
-0.25,
-3.25,
-0.25,
1,
1,
2.25,
-2.75,
2,
-0.25,
0.25
] | 0.967362 | [
0.01995827998848688,
0.0604644772113118,
0.009467678937415125,
0.0034315551282985113,
-0.020265119812155508,
-0.045284364355096626,
0.0011424779715897004,
-0.044087738298219936,
-1.50226119903777,
-1.4628010130334417,
-0.8017292774672112,
1.5766066058178019,
0.13288720752041047,
-1.4525988... | {
"n_parameters": 42,
"n_qubits": 9,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 500 |
339a57bb1c23f4470580bb80982f1c3f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [58, 186], "expectation_value": -1.3530998137450556, "params": [[[0.0859, -0.3125, 0.003, 0.0006000000000000001], [0.2702, 0.0051, 0.4854, 0.0302], [-0.08950000000000001, 0.1379, 0.018600000000000002, 0.2898], [-0.2461, -0.015700000000000002, 0.504, -0.11810000000000001], [0.433, -0.3599, 0.4219, -0.0867], [... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(7) @ Z(0)) + 0.25 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(3)) + 0.0625 * (Z(5) @ Z(1)) + 0.0625 * (Z(6) @ Z(1)) + 0.06... | 11 | 9 | 3 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.5625, "smallest_bitstrings": ["101100100", "100110100", "010110100", "101000101", "100101100"], "largest_eigenvalue": 6.4375} | 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(-0.24399435750260243) q[0];
cx q[4], q[0];
h q[5];
h q[6];
cx q[4], q[6];
rz(-0.24399435750260243) q[6];
cx q[4], q[6];
cx q[0], q[6];
cx q[4], q[2];
rz(-0.24399435750260243) q[2];
cx q[4], q[2];
rz(-0.4570477093... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IIIIIZZII",
"IIIIZIZII",
"IIIZIIZII",
"IIIZZIIII",
"IIIZZIZII",
"IIIIZIIIZ",
"IZIIIIIIZ",
"IZIIZIIII",
"IZIIZIIIZ",
"ZIIIIZIII",
"IIIZIIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IIZZIIIII",
"IZIZIIIII",
"ZIIZIIIII",
"IZZIIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"... | [
0.5,
0.5,
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,
... | 0.725215 | [
-0.24399435750260243,
-0.45704770933237593,
-0.01048511914444058,
-1.983428147922709,
1.0355564279624263,
-1.696110385038197,
0.47323241007407796,
-0.7393798823739974,
-0.30298022667189894,
-4.559184617511286,
-0.6465996571458984
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 455 |
98cf638083ee5f86730c4c6c6a1cdd43 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 7, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 5, "source": 2, "target": 1}, {"capaci... | {"states": [25, 31], "expectation_value": -0.03152558780795563, "params": [[0.005200000000000001, 0.1032, 0.007200000000000001, 0.0058000000000000005, 0.0054, 0.0076], [0.0011, 0.1022, -0.0023, 0.0074, 0.0022, 0.0014]], "bitstrings": ["100110", "100000"], "total_optimization_steps": 10, "probabilities": [0.015794152392... | -1.0 * (Z(0) @ Z(2)) + -3.0 * (Z(1) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + -1.5 * (Z(5) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -3.25 * Z(2) + -0.25 * Z(0) + 1.5 * Z(1) + -1.5 * Z(5) + 1.75 * Z(3) + 1.75 * Z(4) | 9 | 6 | 2 | {"smallest_eigenvalues": [-8.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.75, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 17.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(-0.208567032423215) q[0];
h q[0];
rx(1.570796298634827) q[1];
h q[1];
rx(-0.49515335572932806) q[2];
h q[2];
rx(-0.5987634513077912) q[3];
h q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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 ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIIZZI",
"ZIIIIZ",
"ZIIIZI",
"IIZZII",
"ZIZIII",
"IZIZII",
"IZIIZI",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIIIZI",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
-1,
-3,
1.25,
-1.5,
-1,
-0.75,
-0.75,
-0.5,
-0.5,
-3.25,
-0.25,
1.5,
-1.5,
1.75,
1.75
] | 0.342857 | [
-0.208567032423215,
1.570796298634827,
-0.49515335572932806,
-0.5987634513077912,
-0.14322643594920906,
1.9846908429612853,
-0.6596876406565997,
1.5707962265194688,
-4.4145772708167875e-8,
-0.2881256931633693,
-0.275070543428923,
0.6878636309125641
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -8.75,
"target_ratio": 0.97,
"target_value": -8.487499999999999
} | 366 |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [3, 35], "expectation_value": -3.154074296408975, "params": [0.39590000000000003, 0.0021000000000000003, 0.12890000000000001, 0.108, 0.0898, 0.1385, 0.0755, 0.1658, 0.4046, 0.0001, 0.4026, -0.0006000000000000001, 0.4007, -0.0019, 0.08510000000000001, 0.1032, 0.0738, 0.13490000000000002, 0.06280000000000001, ... | 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(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 4 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["011100"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.8012111076319184) q[0];
ry(-2.800432370667173) q[1];
rz(-pi) q[1];
h q[2];
cx q[2], q[0];
ry(0.8012111076319184) q[0];
cx q[2], q[0];
ry(-0.6297922003853687) q[0];
ry(0.47256397378589904) q[2];
h q[3];
ry(0.902684951569005) q[3];
ry(-2.539634315256677) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"ZIIIZI",
"ZIZIII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-1.5,
-0.5,
0
] | 0.97092 | [
-1.3534878512218063,
1.5980321926942207,
-0.5087559348189883,
0.902684951569005,
1.049840712772453,
-1.6024222152638368,
0.3595906621996474,
0.7061982879717381,
-1.2595844007707373,
0.9451279475717981,
-1.8637580935742109,
1.102091920108346,
0.5252794009800849,
0.16113765377932213,
0.424... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 63 |
171e704e65359d5a57d8a8e54db87dfb | 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": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 2, ... | {"states": [55, 53], "expectation_value": -11.499999939041139, "params": null, "bitstrings": ["11001000", "11001010"], "total_optimization_steps": 45, "probabilities": [4.0034557302040344e-08, 0.9999999557875574], "optimization_time": 51.170905113220215} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(6)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + 1.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(7) @... | 1 | 8 | 2 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["11001010"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-1.6082126260244147) q[0];
rz(-pi) q[1];
ry(-0.004965084752792572) q[1];
h q[2];
ry(1.6210136409714537) q[2];
h q[3];
ry(0.8105068204857269) q[3];
cx q[2], q[3];
ry(-0.8105068204857269) q[3];
cx q[2], q[3];
h q[4];
ry(-0.7621435308680935) q[4];
h q[5];
ry(0.7... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIZIIIZ",
"IZIIIIIZ",
"IZIZIIII",
"IIIIIZZI",
"IZIIIZII",
"IIIIZIZI",
"IIIZZIII",
"IIIIZZII",
"IIZZIIII",
"IIZIIZII",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-0.5,
-0.25,
-0.75,
-0.5,
-0.75,
-0.75,
-0.25,
-0.5,
-1.5,
-0.5,
-0.75,
1.75,
-0.5,
-0.75,
-1.5,
-0.25,
-1.75,
-0.5,
2.25,
0.75,
0.5,
0.5
] | 0.99781 | [
1.6210136409714537,
1.5990030881178423,
-1.6082126260244147,
-1.524287061736187,
-1.4755763315842598,
-0.1627329857583258,
-0.10294869962300437,
-0.037105240853477536,
-0.0004364816468758982,
-0.1376101076604341
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 1 |
95f1851442711fded51a189a201b431f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capac... | {"states": [256, 305], "expectation_value": -0.13766112311967188, "params": [[0.0063, 0.001, 0.006500000000000001, 0.0061, 0.002, 0.0034000000000000002, 0.003, 0.0098, -0.0008, 0.0023], [0.0006000000000000001, 0.0095, 0.3059, 0.0099, 0.007500000000000001, 0.00030000000000000003, 0.008, 0.3088, 0.0074, 0.0027], [0.0015,... | -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) @... | 9 | 10 | 3 | {"smallest_eigenvalues": [-11.0, -11.0, -11.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.0, "smallest_bitstrings": ["1011000110", "1011000010", "1011001110"], "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] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"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 |
10d7f8a177c88c067e76c344903e05cf | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "ta... | {"states": [127, 126], "expectation_value": -16.025287524331535, "params": [[[0.0023, 3.1611000000000002], [0.0022, 0.0022], [0.0018000000000000002, 0.002], [0.0021000000000000003, 0.002], [-0.0026000000000000003, 0.0021000000000000003], [-1.6229, -0.0028], [0.0023, -0.0029000000000000002]]], "bitstrings": ["0000000", ... | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 1.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + -2.0 * (Z(2) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(4)... | 15 | 7 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["0000001"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(0.004987820915825874) q[0];
ry(-0.009454351574094168) q[1];
ry(-0.10312943030978144) q[2];
ry(-0.011987284778951779) q[3];
ry(-0.00896378065895208) q[4];
ry(-1.7489282797249401) q[5];
ry(0.004987820915825874) 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] 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;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
ry(x3) q[3];
ry(x4) q... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIZIII",
"IIIIZIZ",
"IIIZZII",
"IIZIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIZII",
"ZIIIIII"
] | [
-2.5,
-2.5,
-2,
1,
-2.5,
-2.5,
-2,
0.5,
0.5,
0.5,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970638 | [
0.004987820915825874,
-0.009454351574094168,
-0.10312943030978144,
-0.011987284778951779,
-0.00896378065895208,
-1.7489282797249401,
3.179718031348159,
-0.01220163110512859,
0.07660261228899536,
0.20164487170262035
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 4 |
16e531ebd5c4fa365456c9500ea8e716 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [466, 498], "expectation_value": -3.089584575225213, "params": [[[0.05, 0.0094, 0.0037, 0.0061], [0.0166, 0.7689, 0.4032, -0.38270000000000004], [0.1625, -0.4312, -0.0256, 0.5657], [-0.066, -0.659, 0.0592, 0.5614], [0.7618, -0.1178, 0.5791000000000001, 0.1447], [0.1378, 0.17800000000000002, 1.3018, -0.0183],... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 11 | 10 | 2 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.625, "smallest_bitstrings": ["0001011010", "0001011001", "0101011000", "1000011001", "1000001101", "10000010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.17931700348995208) q[0];
rz(-0.5295651513983046) q[0];
rx(0.1383091762588557) q[1];
rz(-2.4427159179592346) q[1];
rx(0.19192920998953547) q[2];
rz(0.7692060885471252) q[2];
rx(0.010941951037614334) q[3];
rz(1.0249064769628937) q[3];
rx(3.3823159256033737) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIIZZIZ",
"IIIIIIZZZI",
"IIIIIIZZZZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIIZZIIIZ",
"IIZZIIIIII",
"IIIIIZIIZI",
"IZIIIIIIZI",
"ZIIIIIIIZI",
"IZIIIZIIII"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125... | 0.970005 | [
-0.17931700348995208,
-0.5295651513983046,
0.1383091762588557,
-2.4427159179592346,
0.19192920998953547,
0.7692060885471252,
0.010941951037614334,
1.0249064769628937,
3.3823159256033737,
0.76377487209716,
2.7495714135870237,
0.6576922218401471,
3.0317260152509355,
-2.4912281243830905
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 29 |
4d778fc08d555f5d794c80ebdd4cf032 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "s... | {"states": [65, 1], "expectation_value": -0.5543198005478759, "params": [[-0.0541], [0.0671]], "bitstrings": ["110111110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0026263999685605093, 0.002800823090057983], "optimization_time": 2.842944622039795} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + 2.75 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(6)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.12632010655421677) q[0];
rz(1.8578626502860658) q[0];
rx(-0.000669354581534873) q[1];
rz(2.0703142827695533) q[1];
rx(0.0270665271796058) q[2];
rz(1.7439616172522454) q[2];
rx(0.024827761160138635) q[3];
rz(2.2582094671703317) q[3];
rx(-0.1257776751083039) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIZIIII",
"IZIIIIIIZ",
"IZZIIIIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZZIIII",
"IZIZIIIII",
"IIIIIIZZI",
"IIIIZIZII",
"IZIIIIZII",
"ZIIIIIZII",
"IIIIIZZII",
"IIIIIIIZI",
"... | [
-0.75,
-0.5,
-0.75,
-0.5,
-0.5,
-1,
-0.5,
-0.75,
2.75,
-0.75,
-0.25,
-1.5,
-0.25,
-1,
-0.75,
-0.5,
-0.75,
-0.75,
-0.75,
-0.25,
-0.75,
-0.25,
0,
0.5,
0.25,
1.25,
-0.5,
-1,
0.5
] | 0.985832 | [
-0.12632010655421677,
0.28706632349116823,
-0.0006693545815348728,
0.4995179559746564,
0.0270665271796058,
0.17316529045734858,
0.024827761160138635,
0.6874131403754353,
-0.12577767510830393,
0.39459743160431243,
0.06753267216512844,
0.6803025278602091,
0.022585476584377165,
0.343210858297... | {
"n_parameters": 70,
"n_qubits": 9,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 7 |
204b696bb62238cc8b72d6f10bf977d8 | 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": 1, "target": 2}, {"source": 2, "ta... | {"states": [67, 71], "expectation_value": -5.45039821314807, "params": [[[1.0219, 0.3504, 0.0024000000000000002, 0.007], [-0.7612, 0.1879, 0.5585, 0.2058], [0.3934, -0.0068000000000000005, -0.38820000000000005, -0.4082], [0.0016, -0.7527, 0.7613000000000001, -0.443], [0.0059, 1.7947000000000002, -0.0014, -0.3407], [0.0... | 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(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -2.0 * Z(4) + ... | 11 | 8 | 3 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["10111000"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(1.1243719288099232) q[0];
rz(0.11041456901638574) q[0];
ry(-0.744199944418413) q[1];
rz(0.42094303058757754) q[1];
cx q[1], q[0];
ry(0.6443957492273549) q[0];
rz(-0.037410634027848916) q[0];
ry(0.3927921714434963) q[1];
rz(-0.14517131004783732) q[1];
ry(0.21923511483... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IIZIIIIZ",
"IIZIIZII",
"IIZZIIII",
"IIIZZIII",
"IIZIZIII",
"IZIZIIII",
"IZIIZIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1,
-2,
-1.5,
-1,
-0.5,
0
] | 0.970902 | [
1.1243719288099232,
0.11041456901638574,
-0.744199944418413,
0.42094303058757754,
0.21923511483021207,
-0.29839226942680125,
0.06579806509503949,
-0.783540242340354,
0.0064590499201583555,
1.868077678000824,
-0.07830904778335429,
-0.518498660196953,
0.2329344425809403,
1.7431562518762578,
... | {
"n_parameters": 83,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 41 |
3752093b82ed107b6f6f5e75324b3162 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 1, "source": 2, ... | {"states": [119, 127], "expectation_value": -5.49519940518524, "params": null, "bitstrings": ["10001000", "10000000"], "total_optimization_steps": 62, "probabilities": [0.4989561015638095, 0.4989561015638095], "optimization_time": 74.81102800369263} | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(7) @ Z(3)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2)) + 1.0 * Z(3) + -... | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["10000000", "10001000"], "largest_eigenvalue": 6.5} | 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(0.3702539457556981) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.34420703924177587) q[4];
cx q[3], q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.34420703924177587) q[1];
cx q[3], q[1];
rz(0.3702539457556981) q[4];
cx q[0]... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5681) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"IIIIZIZI",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIZZIIII",
"IIZIIIZI",
"IIZIIZII",
"IZIIIIZI",
"IZZIIIII",
"IZIIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII"
] | [
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-0.5,
-0.75,
-0.25,
1,
-0.25,
-0.75,
-0.75,
0,
0.75,
0,
0
] | 0.586958 | [
0.3702539457556981,
0.34420703924177587,
-0.6640265103139195,
0.9123099738412122,
-0.8635043435183892,
-0.1933114723087158,
0.9357521566745978
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 172 |
1642491839435405152 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4, 5], [0, 4, 5, 6], [1, 2, 6], [0, 2, 3, 4, 6]]} | {"states": [83, 47], "expectation_value": -0.45205004875508176, "params": [[0.36250000000000004], [-0.3612]], "bitstrings": ["0101100", "1010000"], "total_optimization_steps": 40, "probabilities": [0.014243516623967441, 0.014497565818973926], "optimization_time": 2.616229295730591} | 0.21666666666666667 * (Z(2) @ Z(4)) + 0.25 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(0) @ Z(4)) + 0.05 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.13333333333333333 * (Z(6) @ Z(4)) + 0.21666666666666667 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.133333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.116666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.1166666666666665, "smallest_bitstrings": ["1010000"], "largest_eigenvalue": 3.9999999999999996} | 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[2];
rz(0.0006218178847947971) q[2];
cx q[4], q[2];
h q[5];
cx q[4], q[5];
rz(-0.03453584805961576) q[5];
cx q[4], q[5];
cx q[2], q[5];
cx q[4], q[0];
rz(-0.0005542295413962227) q[0];
cx q[4], q[0];
rz(-0.381845793694792... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIZIZII",
"IZZIIII",
"IZIIZII",
"IIZIIIZ",
"IIIIZIZ",
"IZIIIIZ",
"ZIZIIII",
"ZIIIZII",
"ZZIIIII",
"ZIIIIIZ",
"IIIIZZI",
"ZIIIIZI",
"IIZZIII",
"IIIZZII",
"IIIZIIZ",
"ZIIZIII",
"IIZIIII",
"IIIIZII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIZIII"
] | [
0.21666666666666667,
0.25,
0.16666666666666666,
0.13333333333333333,
0.05,
0.08333333333333333,
0.13333333333333333,
0.21666666666666667,
0.08333333333333333,
0.13333333333333333,
0.16666666666666666,
0.16666666666666666,
0.05,
0.05,
0.05,
0.05,
0.3916666666666667,
0.43333333333333... | 0.884734 | [
0.0006218178847947971,
-0.03453584805961576,
-0.3818457936947927,
-0.0005542295413962227,
-0.0006391936747237592,
0.026436055870097102,
1.5536514455355477,
1.516211147160515,
-1.543116840690102,
1.5744240224960775,
-1.5706374801612246,
-1.6807511631199432
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -1.116666666666667,
"target_ratio": 0.97,
"target_value": -1.0831666666666668
} | 308 |
82fbef622e63fd615445774db4f26c42 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 2, "target": 7}, {"source": 2, "target":... | {"states": [0, 384], "expectation_value": -58.93992546518538, "params": [-0.1096, 2.1788000000000003, 0.8389000000000001, 0.0091, 1.3878000000000001, -0.059800000000000006, 0.5205000000000001, -0.1559, -0.0028, 2.2416, -0.0028, 0.006200000000000001, -0.0028, 2.279, -0.0028, 0.2048, -0.0028, 2.2823, -0.0028, 0.000300000... | -1.0 * (Z(0) @ Z(1)) + -3.5 * (Z(2) @ Z(5)) + 1.5 * (Z(6) @ Z(5)) + -4.0 * (Z(6) @ Z(2)) + -4.0 * (Z(7) @ Z(5)) + -3.5 * (Z(7) @ Z(2)) + -4.0 * (Z(7) @ Z(6)) + -3.5 * (Z(8) @ Z(5)) + -4.0 * (Z(8) @ Z(2)) + 2.5 * (Z(8) @ Z(6)) + -4.0 * (Z(8) @ Z(7)) + -3.5 * (Z(3) @ Z(5)) + 2.0 * (Z(3) @ Z(2)) + -4.0 * (Z(3) @ Z(6)) + 2... | 8 | 9 | 1 | {"smallest_eigenvalues": [-60.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["001111111"], "largest_eigenvalue": 53.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(8.630344416546697e-08) q[0];
cx q[1], q[0];
rz(1.5707963749046865) q[0];
rx(-1.1971949552895071) q[0];
rz(1.5707963749046865) q[1];
rx(-1.1971949552895071) q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[2];
rz(-0.5611320575440737) q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIZIIZII",
"IIZZIIIII",
"IIZIIIZII",
"IZIZIIIII",
"IZIIIIZII",
"IZZIIIIII",
"ZIIZIIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIZIZIII",
"IIIIIZZII",
"IIZIIZIII",
"IZIIIZIII",
"ZIIIIZIII",
"IIIZZIIII",
"IIIIZIZII",
"IIZIZIIII",
"IZIIZIIII",
"ZIIIZIIII",
"... | [
-1,
-3.5,
1.5,
-4,
-4,
-3.5,
-4,
-3.5,
-4,
2.5,
-4,
-3.5,
2,
-4,
2,
-4,
1,
2,
-3.5,
-3.5,
-4,
1.5,
0.5,
0.5,
2.5,
-3.5,
-3,
-3.5,
-3.5,
-3.5,
-3
] | 0.511948 | [
8.630344416546697e-8,
-0.5611320575440737,
-0.21701450933668928,
-0.3653421325506257,
-0.24464438585254125,
-0.24503752903089412,
-0.23743744652107115,
1.570796374904687,
-1.0492214240862234,
-1.1971949552895074
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -60,
"target_ratio": 0.97,
"target_value": -58.199999999999996
} | 283 |
c24dd733315066f7c7da3d578f954d8c | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 2}]} | {"states": [46, 47], "expectation_value": -4.499906801932809, "params": null, "bitstrings": ["010001", "010000"], "total_optimization_steps": 23, "probabilities": [1.4544661481581006e-05, 0.9999210579975322], "optimization_time": 23.347378969192505} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(2) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["010000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-pi) q[0];
ry(-3.109822845335567) q[0];
h q[1];
ry(-1.5582063124952958) q[1];
rz(-pi) q[2];
ry(-3.109822845335567) q[2];
rz(-pi) q[3];
ry(-3.109822845335567) q[3];
h q[4];
ry(1.469755261649514) q[4];
rz(-pi) q[5];
ry(-3.135276556501939) q[5];
cx q[4], q[5];
ry(-0.107... | 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",
"IZIIZI",
"ZIIIZI",
"IIIZZI",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
0,
0,
0,
0
] | 0.994345 | [
-1.5582063124952958,
1.469755261649514,
0.21471432446647404,
0.2656217467992172,
0.18133959097226313
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
589a81c8fd04d28f25b3e8e25563f55c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 3, "source": 3, ... | {"states": [128, 127], "expectation_value": -1.1874525153919675, "params": [[-0.052500000000000005, -0.0494, -0.050300000000000004, -0.060500000000000005], [0.0634, 0.053700000000000005, 0.0587, 0.0655]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.008651951099396388, 0.0... | 0.25 * (Z(0) @ Z(7)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * Z(7) + -0.25 * Z(0) + 0.0 * Z(4) + -0.25 * Z(1) + 1.25 * Z(3) + -1.25 * Z(2) + -0.5 * Z(6) + 1.25 * Z(5) | 1 | 8 | 4 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.5130369850171268) q[0];
h q[1];
ry(0.6921837006580918) q[1];
ry(-2.9297706304665203) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4827454569868557) q[3];
h q[4];
ry(0.7494136005938985) q[4];
h q[5];
ry(0.7413727284934278) q[5];
cx q[3], q[5];
ry(-0.7413727284934278) 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": []} | [
"ZIIIIIIZ",
"IIIZIIZI",
"IIIIZIZI",
"IIIIZZII",
"ZZIIIIII",
"IZIZIIII",
"IIZIIZII",
"IZZIIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"IIIIZIII",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII"
] | [
0.25,
-0.5,
-0.75,
-1,
-0.5,
-0.5,
-0.75,
-0.5,
-0.25,
-0.25,
0,
-0.25,
1.25,
-1.25,
-0.5,
1.25
] | 0.987277 | [
1.4827454569868557,
1.3843674013161835,
1.498827201187797,
1.4332589832961582,
-1.0260739700342536,
1.4650064478335973,
-0.45148341590726787,
0.1454629789395838,
0.03571598507532223,
0.17021348520364954,
0.09444752324091105,
-0.05078619528911972,
0.03558495876298554,
0.0021142938081167356,... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 1 |
d5141e120f90f429ecf4d4dba0d0fe25 | 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": 18, "source": 0, "target": 6}, {"weight": 14, "source": 0, "target": 2}, {"weight": 20, "source": 1, "ta... | {"states": [246, 244], "expectation_value": -10.17214267043022, "params": [[-0.0286, 0.0489], [0.0417, -0.0333]], "bitstrings": ["100001001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.0033446437660659472, 0.003721739348167978], "optimization_time": 3.240600347518921} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(6)) + 16.0 * Z(1) + 14.0 * Z(0) + 13.5 *... | 1 | 9 | 2 | {"smallest_eigenvalues": [-73.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 155.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.0357441524412547) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.0357441524412547) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0357441524412547) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.0357441524412547) q[3];
cx q[1], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZZIIIII",
"IZIIZIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
16,
14,
13.5,
19,
11.5,
9,
9.5,
0.5,
4
] | 0.970911 | [
-0.0357441524412547,
-1.3243738863478043,
0.20067037682180963,
-1.4627485553969521,
-1.3659985365122655,
-1.1931886195985468,
0.38743448584587753,
-1.2966974164736471,
1.2801504036576643,
0.9174965296837271,
0.749051589337997,
0.00805940144664026,
-0.3813827101871313,
1.0035341088991097,
... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -73.5,
"target_ratio": 0.97,
"target_value": -71.295
} | 88 |
00c47f772e828bc0d4453cbe4002ef93 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 6}, ... | {"states": [165, 229], "expectation_value": -2.9588695422054716, "params": [0.078, 0.0737, 0.5365, 0.5314, 0.3029, 0.3018, 0.5424, 0.5386000000000001, -0.010700000000000001, -0.007500000000000001, 0.0035, -0.0006000000000000001, 0.5288, 0.5371, 0.0582, 0.053700000000000005, 0.5364, 0.5353, 0.0731, 0.0763, 0.53260000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(0) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(0) @ Z(6) @ Z(7)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(8) @ Z(1)) + 0.12... | 13 | 9 | 3 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.375, "smallest_bitstrings": ["001101100", "010101010", "001011100", "001011010", "101011000", "100011001", "100011010", "010011010", "100101001"], "largest_e... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.3740494778088388) q[0];
rz(0.038480760740334644) q[0];
ry(0.224551751390454) q[1];
rz(0.5370851894701437) q[1];
cx q[1], q[0];
ry(0.4448488714328079) q[0];
rz(0.05144857571396507) q[0];
ry(0.3371077171914179) q[1];
rz(0.08762329343067346) q[1];
ry(0.104881867130796... | 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input ... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIZZIII",
"IIIZIZIII",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IZZIIIIII",
"IZZIIIIIZ",
"IIIIZIIZI",
"IIZIIIIZI",
"ZIIIIIIZI",
"IIZIZIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIZIZIIZI",
"ZIIIZIIZI",
"ZIZIIIIZI",
"ZIZIZIIII",
"ZIZIZIIZI",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0,
0.125,
0,
-0.125,
-0.5,
-1,
0.125,
0,
0.125
] | 0.973285 | [
0.3740494778088388,
0.038480760740334644,
0.224551751390454,
0.5370851894701437,
0.10488186713079617,
0.1035541280360952,
-0.01808806022148845,
-0.024568873931475266,
0.25887705446175446,
0.13569640496103613,
0.02791278499853541,
0.3774374145905032,
1.1970490074798599,
-0.17339973107511375... | {
"n_parameters": 127,
"n_qubits": 9,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 80 |
9a3c66038e0dd3448b6f18e1042eccfa | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "... | {"states": [3966, 3967], "expectation_value": -20.55425247800008, "params": [-1.2229, -1.0038, -0.0014, -0.0082, -0.0027, -0.0025, -0.0025, -0.0025, 0.0016, -0.0071, -1.6875, -1.4503000000000001, -0.0019, -0.002, -0.0284, 0.0236, -1.6074000000000002, -1.0446, 0.016, -0.0035, 0.5972000000000001, -0.0304, 0.6531, 0.6266,... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * (Z(7) @ Z(6)) + -2.0 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + -1.5 * (Z(10) @ Z(8)) + -2.0 * (Z(11) @ Z(9)) ... | 14 | 12 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["000010000000"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-1.619769782987532) q[0];
rz(pi/2) q[0];
ry(0.08541197811059718) q[1];
ry(-0.07375390670453666) q[2];
ry(-0.007622217583628549) q[3];
ry(0.4392111451572334) q[4];
ry(-1.404723467993316) q[5];
ry(-0.0011328899338905601) q[6];
ry(0.18499251152284724) q[7];
ry(-2.12107... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZZII",
"IIIIIIZZIIII",
"IIIIIZZIIIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIZZIIIIIIII",
"IZZIIIIIIIII",
"IZIZIIIIIIII",
"ZIZIIIIIIIII",
"ZIIZIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIII... | [
-2,
-2,
-2,
-2,
1,
-2,
0.5,
-2,
0.5,
-1.5,
-2,
-2,
-1.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.975133 | [
-1.619769782987532,
0.08541197811059718,
-0.07375390670453666,
-0.007622217583628549,
0.4392111451572334,
-1.404723467993316,
-0.0011328899338905601,
0.18499251152284724,
-2.12107836293499,
0.0450556453175226,
1.0095580698451396,
1.4490082509791185,
-0.7269004432048188,
-3.373109252835201,... | {
"n_parameters": 46,
"n_qubits": 12,
"optimal_eigenvalue": -24,
"target_ratio": 0.97,
"target_value": -23.28
} | 45 |
cf9a1540b011355d554ff1ed574e9153 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 15, "source": 0, "target": 5}, {"weight": 13, "source": 1, "target": 5}, {... | {"states": [119, 118], "expectation_value": -63.57265886038675, "params": [0.3874, -0.5908, 1.5952000000000002, -0.0023, 1.5696, -0.0018000000000000002, 1.6546, -0.2393, 0.4781, -0.5733, 1.6268, 0.0014, 1.6880000000000002, 0.15130000000000002, 0.7642, 0.44010000000000005, 0.38930000000000003, 0.0038, 1.5553000000000001... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 19.5 * Z(1) ... | 18 | 8 | 2 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 151.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027904492225509954) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.027904492225509954) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.027904492225509954) q[2];
cx q[1], q[2];
rz(1.342829921786847) q[1];
rx(1.4533457... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIIZI",
"IIZZIIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
19.5,
5.5,
15.5,
10.5,
6.5,
16,
13,
9
] | 0.970395 | [
0.027904492225509954,
1.3428299217868471,
-1.3973477579863305,
1.1084896251587875,
-1.2207028245392655,
1.4533457571386144,
-0.40356853974988083,
1.2087457512520743,
0.5067522003052877,
0.6097643117392808,
0.41447285258051847
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 47 |
aa593368bb5365cab30d0ff25322eaa9 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "s... | {"states": [0, 1], "expectation_value": -7.325558372302478, "params": [0.0037, -0.4247, 0.0028, 0.6076, -0.049600000000000005, 0.4264, 0.0028, 0.6023000000000001, 0.0025, 0.5786, 0.0028, 0.6039, 0.0023, 0.6005, -0.16140000000000002, -0.2524, 0.8035, 0.0037, 0.0036000000000000003, -0.2746, 0.0028, -0.0111, -0.0516, 0.00... | -0.75 * (Z(0) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(2) @ Z(5)) + -0.25 * (Z(4) @ Z(6)) + -1.0 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(5)) + -0.5 * Z(3) + -0.25 * Z(0) + 1.0 * Z(8) + 0.25 * Z(1) + -0.5 * Z(6) + -2.5 * Z(5) + 1.0 * Z(2) + -0.25 * Z(4)... | 4 | 9 | 2 | {"smallest_eigenvalues": [-9.25, -9.25, -9.25, -9.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.25, "smallest_bitstrings": ["110111110", "111111100", "110111100", "111111110"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.2604022855737892) q[0];
rz(-0.01537861649750738) q[0];
rx(-0.12818536156118715) q[1];
rz(-0.0869066548434887) q[1];
rx(0.17384250003208646) q[2];
rz(0.07010493845988597) q[2];
rx(0.1597859737204616) q[3];
rz(-0.1345468314568281) q[3];
rx(-0.018218472456728235) 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": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"ZIIIIIIIZ",
"IIIIIZIZI",
"IIZIIIIZI",
"IIIZIZIII",
"IIIZIIZII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIZIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIIZI",
"IIZIIIIII",
"IIIZIIIII",
"IIIIIIZII",
"IIIIZIIII",
"IZIIIIIII"
] | [
-0.75,
1,
-1,
-0.75,
-0.75,
-1,
-0.25,
-1,
-0.75,
-0.5,
-0.25,
1,
0.25,
-0.5,
-2.5,
1,
-0.25,
1.75
] | 0.972242 | [
-0.2604022855737892,
0.018502660556804107,
-0.12818536156118712,
-0.06547363986262428,
0.17384250003208646,
0.07050808954344356,
0.1597859737204616,
-0.08364495497588834,
-0.018218472456728235,
-0.32470608609845375,
-0.048560420322889965,
-0.08972281135762039,
-0.06810126215350618,
0.05827... | {
"n_parameters": 161,
"n_qubits": 9,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 5 |
-4110772197468043772 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4], [1, 2], [0, 6], [1, 6], [0, 3], [2, 6], [3, 6], [0, 2], [0, 4], [2, 5], [1, 5]]} | {"states": [31, 23], "expectation_value": -0.038920857167368386, "params": [0.7134, 0.7110000000000001, 0.7321000000000001, 0.7274, 0.8404, 0.8423, 0.7699, 0.7669, 0.8592000000000001, 0.8531000000000001, 0.8118000000000001, 0.8066, 0.8531000000000001, 0.8503000000000001, 0.1119, 0.0095, -0.0965, 0.0025, 0.1245, 0.00520... | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(6) + ... | 13 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -1.5, "smallest_bitstrings": ["1111000", "1101000", "1101010", "1000111", "1000011", "0010111", "0111000", "0111100", "0010101", "0000111"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.5212835336178407) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.5212835336178407) q[3];
cx q[4], q[3];
cx q[4], q[0];
rz(0.5212835336178407) q[0];
cx q[4], q[0];
cx q[3], q[0];
rz(0.5212835336178407) q[0];
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[... | null | {"circuits": [], "gradients": []} | [
"IIZZIII",
"IIIIZZI",
"IIZIIIZ",
"IIIZIIZ",
"IIIIZIZ",
"ZIIZIII",
"ZIIIZII",
"ZIIIIZI",
"ZIIIIIZ",
"IZIIZII",
"IZIIIZI",
"IIZIIII",
"IIIZIII",
"IIIIZII",
"IIIIIZI",
"IIIIIIZ",
"ZIIIIII",
"IZIIIII"
] | [
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
] | 0.577655 | [
0.5212835336178407,
-1.2945187388588633e-8,
-0.6330956871340108
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 90 |
438984a20540b317dcdc959ffda42259 | 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": [4362, 4366], "expectation_value": -153.0016427024554, "params": [[0.8806, 0.059500000000000004, -0.0054, -0.0649, 0.808, 0.0262, 0.0014, -0.0007, 0.0016, 0.8014, -0.0316, 0.8156, -0.09240000000000001], [0.8015, 0.0736, -0.0013000000000000002, -0.011300000000000001, 0.809, 0.0023, -0.0008, -0.003600000000000... | 8.5 * (Z(1) @ Z(0)) + 8.5 * (Z(3) @ Z(0)) + 8.5 * (Z(4) @ Z(1)) + 8.5 * (Z(4) @ Z(3)) + 8.5 * (Z(5) @ Z(9)) + 8.5 * (Z(12) @ Z(9)) + 8.5 * (Z(10) @ Z(9)) + 8.5 * (Z(10) @ Z(12)) + 8.5 * (Z(6) @ Z(10)) + 8.5 * (Z(11) @ Z(9)) + 8.5 * (Z(11) @ Z(12)) + 8.5 * (Z(11) @ Z(10)) + 8.5 * (Z(8) @ Z(11)) + 6.0 * Z(0) + 2.5 * Z(1)... | 10 | 13 | 4 | {"smallest_eigenvalues": [-173.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -153.0, "smallest_bitstrings": ["0111011110001"], "largest_eigenvalue": 234.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.837038312966272) q[0];
ry(0.11715075929725315) q[1];
ry(-0.03875098995182594) q[2];
ry(0.11225041692229501) q[3];
ry(0.5857493997145727) q[4];
ry(-0.1346624459401089) q[5];
ry(-0.09844596870549222) q[6];
ry(-0.04445403225754903) q[7];
ry(-0.12955522638413283) 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, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIZIIZ",
"IIIIIIIIZIIZI",
"IIIIIIIIZZIII",
"IIIZIIIZIIIII",
"ZIIZIIIIIIIII",
"IIZZIIIIIIIII",
"ZIZIIIIIIIIII",
"IIZIIIZIIIIII",
"IZIZIIIIIIIII",
"ZZIIIIIIIIIII",
"IZZIIIIIIIIII",
"IZIIZIIIIIIII",
"IIIIIIIIIIIIZ",
"IIIIIIIIIIIZI",
"IIIIIIIIIZIII",
"IIIIIIIIZII... | [
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
6,
2.5,
3,
9.5,
25.5,
-3.5,
12.5,
23,
-5.5,
26.5,
-4,
-13.5,
-14.5
] | 0.970938 | [
0.837038312966272,
0.11715075929725315,
-0.03875098995182594,
0.11225041692229501,
0.5857493997145727,
-0.1346624459401089,
-0.09844596870549222,
-0.04445403225754903,
-0.12955522638413283,
0.9188113478830536,
-0.06008482505296392,
0.894909683946315,
-0.12492072564364579,
0.816841782612980... | {
"n_parameters": 61,
"n_qubits": 13,
"optimal_eigenvalue": -173,
"target_ratio": 0.97,
"target_value": -167.81
} | 15 |
4b8e8d3bc089d9f1ce23ac8f56ea8854 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [149, 181], "expectation_value": -5.501615058229851, "params": [[[0.7002, -0.004200000000000001, 0.006200000000000001, 0.0038], [0.0018000000000000002, 0.4627, 0.0043, 0.0029000000000000002], [0.36300000000000004, 0.0028, 0.0011, 0.0038], [0.3476, -0.0985, 0.5874, 0.0058000000000000005], [-0.0002, 0.4026, 0.... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + -1.0 * Z(4) + 0.0 * Z(0) + -1.0 * Z(2) + -1.5 * Z(1) + -0.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(7) + -1.... | 12 | 8 | 4 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["01001010"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.8476001361719452) q[0];
rz(0.08660424317865062) q[0];
ry(0.07217867204471394) q[1];
rz(0.3441983597198177) q[1];
cz q[1], q[0];
ry(0.8827096089944338) q[0];
rz(0.06863414140230593) q[0];
ry(0.07477202046255788) q[1];
ry(0.7026865230814847) q[2];
rz(0.03493072668171... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIZIIIZ",
"IIIZIZII",
"IIIIIZZI",
"IIIZZIII",
"IIIIZIZI",
"IIZIIIZI",
"ZIIIIIZI",
"IZIIIZII",
"IZZIIIII",
"ZZIIIIII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-1,
-1.5,
-0.5,
-0.5,
-0.5,
-1
] | 0.972392 | [
0.8476001361719452,
0.08660424317865062,
0.07217867204471394,
0.3441983597198177,
0.7026865230814847,
0.03493072668171043,
0.280527502354479,
-0.2847909667608607,
0.09571101689920544,
0.3556286323975034,
0.34106573136015883,
0.15647894091899603,
0.11490851033605401,
-0.008424503352474633,
... | {
"n_parameters": 84,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 26 |
cb943fcd43d9f749780630b91be79506 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "s... | {"states": [199, 223], "expectation_value": -7.371789026401859, "params": null, "bitstrings": ["100111000", "100100000"], "total_optimization_steps": 100, "probabilities": [0.12621701500811097, 0.5246779241019593], "optimization_time": 186.68361830711365} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(8)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(7) @ Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["100100000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.0023431358542768677) q[0];
h q[1];
ry(1.0573482311132871) q[1];
h q[2];
ry(0.7381916387806311) q[2];
h q[3];
ry(-1.530172209429997) q[3];
h q[4];
ry(-0.12458245307790583) q[4];
h q[5];
cx q[5], q[4];
ry(0.12458245307790583) q[4];
cx q[5], q[4];
h q[6];
ry(... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[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] = ... | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZZII",
"IIZIIIIZI",
"ZIIIIIIIZ",
"ZIIIIIZII",
"IIIIZIIZI",
"IIIIZZIII",
"ZIIIZIIII",
"IIZZIIIII",
"IIIZZIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZZIIIIIII",
"IZIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"... | [
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.75,
1,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-1,
-0.25,
-0.5,
-0.25,
-0.75,
0.25,
-0.25,
-1.75,
0.75,
0.25,
-0.25,
1,
-0.25,
0.25
] | 0.971464 | [
-1.530172209429997,
-0.24916490615581166,
-0.004686271708553735,
1.5008255461260471,
-0.9720458421928581,
1.4763832775612622,
1.178692764422778,
0.13200497549453394,
0.8917603156219556,
2.1146964622265743,
-0.0033878110834060365,
0.17746269747617008,
-0.3576571302642504,
0.0906979216744569... | {
"n_parameters": 50,
"n_qubits": 9,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 170 |
7b9c246532208479e16ead07d0fd9661 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}]} | {"states": [60855, 60795], "expectation_value": -14.693603208664202, "params": [[0.13290000000000002, 0.1095, 0.0868], [-0.1366, -0.13440000000000002, -0.1298]], "bitstrings": ["0001001001001000", "0001001010000100"], "total_optimization_steps": 20, "probabilities": [0.0016784654126571624, 0.001684186709465096], "optim... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(... | 1 | 16 | 3 | {"smallest_eigenvalues": [-20.000000000000043], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999975, "smallest_bitstrings": ["0001001010000100"], "largest_eigenvalue": 68.00000000000023} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(1.0361059844083795) q[0];
rz(0.2538864396112084) q[0];
rx(0.6189462132348078) q[1];
rz(-0.21762453154559475) q[1];
rx(0.6524000169646366) q[2];
rz(0.24446300716621922) q[2];
rx(-0.12421013628383518) q[3];
rz(0.2697688833504035) q[3];
rx(0.7337250473435663) 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": 3}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 3}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIIIIZI",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIIZ",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.25,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
... | 0.971641 | [
1.0361059844083795,
0.04207048271458553,
0.6189462132348078,
-0.21762453154559475,
0.6524000169646366,
0.24446300716621922,
-0.12421013628383518,
0.2697688833504035,
0.7337250473435663,
0.10891100270157394,
0.9285896273892676,
0.30968646813099326,
0.08969789985041493,
0.30290502113283285,
... | {
"n_parameters": 183,
"n_qubits": 16,
"optimal_eigenvalue": -20.00000000000009,
"target_ratio": 0.97,
"target_value": -19.400000000000084
} | 24 |
4483787729119184214 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3], [1, 4, 6], [1, 2, 5], [5, 6], [0, 3], [0, 7]]} | {"states": [228, 226], "expectation_value": -2.3794554133374133, "params": null, "bitstrings": ["00011011", "00011101"], "total_optimization_steps": 57, "probabilities": [0.05468579858330889, 0.7561510227262813], "optimization_time": 63.96699380874634} | 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.0 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.6666666666666665, -2.6666666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.3333333333333335, "smallest_bitstrings": ["00011101", "10100010"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(1.5223909316810977) q[1];
h q[2];
h q[3];
ry(-0.24145725587296096) q[3];
cx q[2], q[3];
ry(0.24145725587296096) q[3];
cx q[2], q[3];
ry(-0.19155558381957738) q[3];
cx q[0], q[3];
ry(0.19155558381957738) q[3];
cx q[0], q[3];
ry(0.6545840090710378) q[0]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.2292) 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[... | [
"IIIIZZII",
"IIIIIZZI",
"IIIZIIZI",
"IZIIIIZI",
"IZIZIIII",
"IIZIIZII",
"IIZIIIZI",
"IZZIIIII",
"IIIIZIIZ",
"ZIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIIIIIZI",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII",
"IIIIIIIZ",
"ZIIIIIII"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0,
0.16666666666666663,
0.3333333333333333,
0.16666666666666666,
0.16666666666666663,
0.16666666666666663,
0,
0
] | 0.972285 | [
1.5223909316810977,
-0.4829145117459219,
1.594481500285462,
-0.6138767175471056,
-0.38311116763915476,
1.3091680181420755,
-1.7726169244714027,
0.8662043603113848,
-0.7432038607528697,
0.30718014410158945,
-0.8976727372357262,
0.8345403782429576,
0.029133700781013183,
-0.1764495110211693,
... | {
"n_parameters": 49,
"n_qubits": 8,
"optimal_eigenvalue": -2.6666666666666665,
"target_ratio": 0.97,
"target_value": -2.5866666666666664
} | 37 |
1a9af805cf7f57ca2d44c009938a54aa | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 9}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6}, {"capac... | {"states": [509, 511], "expectation_value": -5.224191870276349, "params": null, "bitstrings": ["1000000010", "1000000000"], "total_optimization_steps": 100, "probabilities": [0.3637337948670352, 0.3637337948670352], "optimization_time": 227.5586175918579} | 0.25 * (Z(0) @ Z(9)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(6) @ Z(9)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(9)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(8) @ Z(4)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1000000000", "1000000010"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.21737501334783768) q[1];
cx q[2], q[1];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[9], q[0];
rz(-0.5520984500705635) q[0];
cx q[9], q[0];
rz(0.21737501334783804) q[0];
rx(1.0970996366549022) q[0];
cx q[9], q... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.5706) 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]... | [
"ZIIIIIIIIZ",
"IIIIIIIZZI",
"ZIIZIIIIII",
"IIIZIIIZII",
"IIIZIIIIZI",
"IIIIIIZZII",
"ZIIIZIIIII",
"IIIIZIZIII",
"IIIIIZIZII",
"IIIIIZIIZI",
"IIIZIZIIII",
"IZIIIZIIII",
"IIZIIIIZII",
"IIZIIIZIII",
"ZIIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIZIIIIII",
"IIIIIIZIII"... | [
0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
0.25,
-0.5,
-0.75,
0,
1.25,
-0.25,
1
] | 0.650781 | [
-0.5520984500705635,
0.21737501334783768,
0.5253775962002157,
0.9422849881501424,
1.3477559908591945,
-1.3049361310391825,
-0.8550644224009503,
1.097099636654902
] | {
"n_parameters": 8,
"n_qubits": 10,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 208 |
7d6ca7bcb082771e20acb1517cc99090 | 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": 6, "source": 2, "target": 3}, {"weight": 14, "source": 2, "target": 4}, {"weight": 17, "source": 2, "targ... | {"states": [190, 118], "expectation_value": -22.07730219731482, "params": [[-0.034, -0.0044], [0.06720000000000001, 0.0625]], "bitstrings": ["101000001", "110001001"], "total_optimization_steps": 10, "probabilities": [0.005983491355774261, 0.007426259767421997], "optimization_time": 5.853525638580322} | 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-85.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["110001001"], "largest_eigenvalue": 183.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-0.7199121830629105) q[0];
ry(0.06677871602384747) q[0];
rz(1.3786347799128613) q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.42428552918180296) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(0.42428552918180296) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.42428552918180296... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIZIIZII",
"IIIZIZIII",
"IIZIIIZII",
"IIZZIIIII",
"IZIIIIZII",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"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,
4.5,
20.5,
7.5,
13,
14.5,
14,
16,
19,
5,
-6
] | 0.970518 | [
0.42428552918180296,
-1.965833218271943,
1.0493207160015365,
-2.6834936732693384,
-0.31644052236695974,
0.18369882609231244,
-1.5289981623644935,
-1.4831165788801393,
0.9338974206381244,
0.9704922057475008,
0.11490768893024489,
-0.3990331598156071,
0.5720257634427621,
0.5661569682689304,
... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -85,
"target_ratio": 0.97,
"target_value": -82.45
} | 93 |
b0b269dd9f10ed56ad7d2febbade41b5 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "... | {"states": [3184, 3199], "expectation_value": -19.87518863113268, "params": null, "bitstrings": ["001110001111", "001110000000"], "total_optimization_steps": 100, "probabilities": [0.11530457321492948, 0.3175898881732312], "optimization_time": 205.51950407028198} | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(7)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(8) @ Z(9)) + -2.0 * (Z(11) @ Z(9)) + -2.0 * (Z(11) @ Z(8)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + -2.0 * (Z(10) @ Z(11)) + 0.5 * Z(1) + 0.5 *... | 1 | 12 | 1 | {"smallest_eigenvalues": [-25.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["001110000000"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.02686158777385738) q[0];
ry(0.026951724867742537) q[1];
ry(0.0451587018657913) q[2];
ry(-1.5746105518773907) q[3];
ry(-0.03177766023308293) q[4];
ry(0.03790452169946788) q[5];
ry(0.0451587018657913) q[6];
ry(0.0451587018657913) q[7];
ry(0.0068574349042046035) q[8... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(-1.5708) q[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];... | [
"IIIIIIIIIIZZ",
"IIIIIIIIZZII",
"IIIIIIIZZIII",
"IIIIIIIZIZII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIIIZZIIIII",
"IIZZIIIIIIII",
"ZIZIIIIIIIII",
"ZIIZIIIIIIII",
"IZZIIIIIIIII",
"IZIZIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIZIII",
"IIIIIIIIIZII",
"IIIIIIIZI... | [
-1,
-2,
-2,
-2,
-1.5,
-1.5,
0.5,
-1.5,
-2,
-2,
0.5,
0.5,
-2,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.973215 | [
-0.02686158777385738,
0.026951724867742537,
0.0451587018657913,
-1.5746105518773907,
-0.03177766023308293,
0.03790452169946788,
0.0068574349042046035,
0.11446647133753912,
0.07282317780430968,
3.070976674549378,
-0.09889968496646959,
0.03901715882581974,
0.018224800215944012,
-0.0068701009... | {
"n_parameters": 15,
"n_qubits": 12,
"optimal_eigenvalue": -27,
"target_ratio": 0.97,
"target_value": -26.189999999999998
} | 2 |
-3605851653834633069 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 11, 5], [1, 2, 4, 9, 11], [0, 2], [0, 9, 5, 6], [9, 10, 4, 5], [1, 10, 6], [0, 4, 6, 7, 10], [2, 3], [1, 4, 6, 7, 11], [8, 1, 5, 7], [3, 11], [0, 3, 6, 7], [1, 10, 11, 4], [0, 8, 7], [1, 10, 5], [8, 2, 5, 6], [3, 6, 7, 8, 10], [0, 1], [9, 10, 11, 1], ... | {"states": [575, 1599], "expectation_value": -5.064464616378517, "params": [[[0.5378000000000001, 0.0081], [1.5908, 0.008700000000000001], [3.1602, 0.0039000000000000003], [0.31970000000000004, 0.0031000000000000003], [1.0987, 0.0041], [1.1384, 0.0022], [3.1616, 0.00030000000000000003], [3.1617, 0.0068000000000000005],... | 0.21666666666666667 * (Z(2) @ Z(11)) + 0.21666666666666667 * (Z(5) @ Z(11)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.26666666666666666 * (Z(1) @ Z(11)) + 0.13333333333333333 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(1) @ Z(5)) + 0.23333333333333334 * (Z(4) @ Z(11)) + 0.21666666666666667 * (Z(4) @ Z(2)) + 0.133333333333... | 1 | 12 | 1 | {"smallest_eigenvalues": [-6.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.600000000000003, "smallest_bitstrings": ["100111000000"], "largest_eigenvalue": 22.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.15143931461896326) q[0];
rz(-0.3304502939738967) q[0];
rx(2.529750637898335) q[1];
rz(-0.15600234494986012) q[1];
rx(3.184636025815457) q[2];
rz(-0.0896316996225007) q[2];
rx(-0.07626395067700523) q[3];
rz(0.25779603780418764) q[3];
rx(0.3292092067740702) 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": []} | [
"ZIIIIIIIIZII",
"ZIIIIIZIIIII",
"IIIIIIZIIZII",
"ZIIIIIIIIIZI",
"IIIIIIIIIZZI",
"IIIIIIZIIIZI",
"ZIIIIIIZIIII",
"IIIIIIIZIZII",
"IIIIIIZZIIII",
"IIIIIIIZIIZI",
"ZIZIIIIIIIII",
"IIZIIIIIIZII",
"IIZIIIZIIIII",
"IIZIIIIIIIZI",
"IIZIIIIZIIII",
"IIIIIIIIIZIZ",
"IIIIIIZIIIIZ",
"IIIIIIIII... | [
0.21666666666666667,
0.21666666666666667,
0.3333333333333333,
0.26666666666666666,
0.13333333333333333,
0.3333333333333333,
0.23333333333333334,
0.21666666666666667,
0.13333333333333333,
0.18333333333333335,
0.13333333333333333,
0.21666666666666667,
0.25,
0.13333333333333333,
0.3,
0.5,... | 0.971449 | [
0.15143931461896326,
-0.3304502939738967,
2.529750637898335,
-0.15600234494986012,
3.184636025815457,
-0.0896316996225007,
-0.07626395067700523,
0.25779603780418764,
0.3292092067740702,
-0.36777917108436853,
-0.26225968899730545,
-0.016922089087789513,
3.12288572171071,
-0.1657960080309186... | {
"n_parameters": 21,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 15 |
4a07d8cd482ce7fb76684438a5cf9815 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4},... | {"states": [2047, 1791], "expectation_value": -24.52821777864699, "params": [[[-0.0019, 3.1595], [0.0022, 0.0019], [1.6298000000000001, 0.0031000000000000003], [0.0023, -0.0029000000000000002], [0.0018000000000000002, 0.0021000000000000003], [0.0018000000000000002, 0.002], [0.0022, 0.002], [0.0022, 0.002100000000000000... | -2.0 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(3)) + -2.5 * (Z(6) @ Z(7)) + 1.5 * (Z(8) @ Z(7)) + -2.5 * (Z(8) @ Z(6)) + -2.5 * (Z(10) @ Z(7)) + -2.0 * (Z(10) @ Z(6)) + -2.5 * (Z(10) @ Z(8)) + ... | 15 | 11 | 1 | {"smallest_eigenvalues": [-25.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.0, "smallest_bitstrings": ["00100000000"], "largest_eigenvalue": 28.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.042405914013074295) q[0];
ry(-0.05068877239385349) q[1];
ry(1.6053497730704276) q[2];
ry(-0.020085092969340086) q[3];
ry(-0.02302030348987929) q[4];
ry(-0.02302030348987929) q[5];
ry(-0.05068877239385349) q[6];
ry(-0.05068877239385349) q[7];
ry(-0.0200850929693400... | 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[11] c;
qubit[11] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2]... | {"node": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIIZZIII",
"IIIIIZIIIZI",
"IIIIIZIZIII",
"IIIZZIIIIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"ZIIZIIIIIII",
"ZIIIZIIIIII",
"ZIZIIIIIIII",
"IZIZIIIIIII",
"IZIIZIIIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIII... | [
-2,
-2.5,
0.5,
-2,
0.5,
0.5,
0.5,
-1.5,
-2.5,
1.5,
-2.5,
-2.5,
-2,
-2.5,
-2.5,
1,
-2.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.97109 | [
0.042405914013074295,
-0.05068877239385349,
1.6053497730704276,
-0.020085092969340086,
-0.02302030348987929,
-0.008166010480380057,
3.1721506218273094,
0.07497286915040906,
0.07566684410661241,
0.08620810084394737,
0.11847136009862701
] | {
"n_parameters": 11,
"n_qubits": 11,
"optimal_eigenvalue": -25,
"target_ratio": 0.97,
"target_value": -24.25
} | 2 |
501477738601b9a56009fb34d8274268 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 4}, {"capaci... | {"states": [27, 31], "expectation_value": -4.891461038695923, "params": null, "bitstrings": ["100100", "100000"], "total_optimization_steps": 35, "probabilities": [0.3657088066685248, 0.36574086973498815], "optimization_time": 23.94345498085022} | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + 2.0 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) + -1.0 * Z(3) + -0.75 * Z(4) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.25, -5.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000", "100100"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022432742226757757) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.3384255533536563) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(-0.2041040411348823) q[3];
cx q[1], q[3];
rz(1.4620623217131428) q[1];
rx(-1.1506042763506248) q[1]... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIIZZ",
"IIIZZI",
"IIZIZI",
"IZIZII",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
-0.25,
-1.25,
-1,
-1.25,
0.5,
-0.5,
-0.5,
2,
-0.25,
0.5,
-1,
-0.75,
-0.5
] | 0.711879 | [
0.022432742226757757,
-0.3384255533536563,
-0.2041040411348823,
0.7101376461721758,
-0.6732289857497842,
1.4620623217131428,
-0.4251460208844991,
-1.1506042763506248
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 188 |
55e47338bba624266c8b8b1563bf0dbf | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 4}, {"weight": 15, "source": 0, "target": 6}, {"weight":... | {"states": [500, 468], "expectation_value": -103.97546631804747, "params": [0.6881, 0.012700000000000001, 0.6819000000000001, -0.07540000000000001, 0.6736000000000001, 0.0082, 0.6543, -0.0172, 0.6886, 0.013600000000000001, 0.6809000000000001, -0.0258, 0.6827000000000001, -0.0838, 0.6798000000000001, -0.0223, 0.28350000... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(9) ... | 6 | 10 | 2 | {"smallest_eigenvalues": [-110.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -97.5, "smallest_bitstrings": ["1000101011"], "largest_eigenvalue": 186.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.415302044782726) q[0];
rz(1.1657900400473746) q[0];
rx(0.7177420802839939) q[1];
rz(1.4685546724748582) q[1];
rx(0.5130561226363791) q[2];
rz(1.6762505375391878) q[2];
rx(0.8848865723513896) q[3];
rz(1.5456263331577533) q[3];
rx(0.06361022960991862) q[4];
rz(2.276... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIZIIIZI",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIZIIIIZI",
"IIIZZIIIII",
"IIZIIIIIZI",
"IIZIZIIIII",
"IIZZIIIIII",
"IZIIIIIZII",
"ZIZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIIZIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
25,
7,
13,
11,
4.5,
25,
6,
19.5,
-4,
-3
] | 0.973151 | [
1.415302044782726,
-0.4050062867475215,
0.717742080283994,
-0.1022416543200387,
0.5130561226363792,
0.10545421074429129,
0.8848865723513896,
-0.02516999363714344,
0.06361022960991863,
0.7058170123223206,
1.0026760785736075,
-0.13993836538793006,
0.052331285877490856,
-0.6431183863744506,
... | {
"n_parameters": 99,
"n_qubits": 10,
"optimal_eigenvalue": -110.5,
"target_ratio": 0.97,
"target_value": -107.185
} | 135 |
8c96d267ad9dac3e5a4c4afd9dbbc4ee | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 9}, {"capacity": 3, "source": 1, "target": 3}, {"capac... | {"states": [512, 511], "expectation_value": -10.926225615777563, "params": [[[-0.015700000000000002, -0.0028], [0.0073, 0.0675], [-0.0015, -0.010400000000000001], [-0.0041, -0.0027], [-0.0002, 0.003], [-0.0015, 0.0031000000000000003], [-0.005, 0.0027], [0.0012000000000000001, -0.0026000000000000003], [1.4858, -0.0022],... | -0.5 * (Z(0) @ Z(6)) + -0.75 * (Z(9) @ Z(6)) + 0.75 * (Z(9) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(2) @ Z(3)) + -0.75 * (Z(7) @ Z(9)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * (Z(5) ... | 15 | 10 | 3 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.03524379931475044) q[0];
ry(-0.06619315484531053) q[1];
ry(-0.07422941085817349) q[2];
ry(0.3219794189838851) q[3];
ry(0.16556887095245132) q[4];
ry(-0.07422941085817349) q[5];
ry(0.07018962010941565) q[6];
ry(0.021468113930830993) q[7];
ry(1.7244802508226569) q[8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIZIIIIIZ",
"ZIIZIIIIII",
"ZIIIIIIIIZ",
"IIIIIIZIZI",
"IIIIIIZZII",
"ZIZIIIIIII",
"IIZIIIZIII",
"IIZIIIIZII",
"IIIZIZIIII",
"IIIIIZZIII",
"IIIIIZIZII",
"IIZIIZIIII",
"IIIZZIIIII",
"ZIIIZIIIII",
"IIZIZIIIII",
"IIIIZZIIII",
"IZIZIIIIII",
"ZZIIIIIIII",
"IZIIIIZIII",
"IZZIIIIIII"... | [
-0.5,
-0.75,
0.75,
-0.75,
-0.5,
-0.75,
-0.5,
-0.75,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-1,
-0.25,
-1,
-0.75,
-0.5,
-0.5,
-0.75,
0,
-0.25,
-1.75,
-1,
0.75,
0.75,
-0.75,
0,
1.25,
1
] | 0.971006 | [
0.03524379931475044,
-0.06619315484531053,
-0.07422941085817349,
0.3219794189838851,
0.16556887095245132,
0.07018962010941565,
0.021468113930830993,
1.7244802508226569,
0.3769339050187827,
0.04897842057203079,
0.018469575676951042,
-0.007691737484242241,
-0.00933076346550794,
0.00523364354... | {
"n_parameters": 51,
"n_qubits": 10,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 82 |
e9af1a9f112f5a53fb57fbd0d9beb1bf | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target": 6}]} | {"states": [56, 62], "expectation_value": -7.105507838957649, "params": null, "bitstrings": ["000111", "000001"], "total_optimization_steps": 41, "probabilities": [0.19908769825046888, 0.5936890225911822], "optimization_time": 22.013084411621094} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + -0.5 * Z(5) | 5 | 6 | 1 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["000001"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(0.05694439345088629) q[0];
ry(0.07964889352568336) q[1];
ry(-0.011315584505599684) q[2];
ry(0.12547947242218094) q[3];
ry(-2.261873266415947) q[4];
ry(-0.05231947757244105) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1]... | null | {"node": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5681) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
-1.5,
-1.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970689 | [
0.05694439345088629,
0.07964889352568336,
-0.011315584505599684,
0.12547947242218094,
-2.261873266415947,
-0.05231947757244105,
3.0493721289513904,
0.019216606340822288,
-0.08003579411712652,
0.02644848824165674,
0.06864849289218175
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 13 |
-8861534716870042528 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[5, 6], [11, 3], [8, 3, 5, 7], [1, 2, 4, 5, 10], [0, 2], [9, 11]]} | {"states": [3478, 1430], "expectation_value": -1.827037643813015, "params": [[[1.4739, 0.005, 0.0066, 0.007200000000000001], [0.28150000000000003, -0.0002, 1.5543, 0.006500000000000001], [0.0022, 0.0085, 0.0047, 0.006], [1.0472000000000001, 0.0029000000000000002, 1.0439, 0.0024000000000000002], [1.7020000000000002, 0.0... | 0.5 * (Z(7) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(7)) + 0.5 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(10) @ Z(7)) + 0.08333333333333333 * (Z(10) @ Z(5)) + 0.08333333333333333 * (Z(9) @ Z(7)) + 0.08333333333333333 * (Z(9) @ Z(5)) + 0.08333333333333333 * (Z(9) @ Z(10)) + 0.05 * (Z(1) @ Z(7)) + 0.05 * (Z(4) @ Z(7)) +... | 12 | 12 | 1 | {"smallest_eigenvalues": [-2.450000000000001, -2.450000000000001, -2.450000000000001, -2.450000000000001, -2.450000000000001, -2.450000000000001], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.4500000000000006, "smallest_bitstrings": ["000011101001", "101001101001", "001011001001", "110001101001", "11... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.06552734288370418) q[0];
rz(0.12185480274933548) q[0];
ry(-0.17390954015120436) q[1];
rz(-0.20796653579003127) q[1];
cz q[1], q[0];
ry(-3.0055648559587502) q[1];
ry(-0.003655038693607282) q[2];
rz(-0.3193914024638495) q[2];
ry(1.268264309861799) q[3];
rz(-0.01467... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIZZIIIIIII",
"IIIIZIZIIIII",
"IIIIIIZIZIII",
"IZIIZIIIIIII",
"IZIIIIZIIIII",
"IIZIZIIIIIII",
"IIZIIIZIIIII",
"IZZIIIIIIIII",
"IIIIZIIIIIZI",
"IIIIZIIZIIII",
"IIIIIIIZIIZI",
"IIIIZZIIIIII",
"IIIIIZIIIIZI",
"IIIIIZIZIIII",
"IIIIZIIIIZII",
"IIIIIIIIIZZI",
"IIIIIIIZIZII",
"IIIIIZIII... | [
0.5,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.5,
0.5,
0,
0.2250000000000003,
0.1250000000000001,
0,
0.125,
0.125,
... | 0.976618 | [
-0.06552734288370418,
0.12185480274933548,
-0.17390954015120436,
-0.20796653579003127,
-0.003655038693607282,
-0.3193914024638495,
1.268264309861799,
-0.014670554678963742,
3.145775752878598,
0.2713552734454984,
-0.050880829688485396,
0.23494206892176367,
-0.6794515516345854,
1.67207730547... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -2.450000000000001,
"target_ratio": 0.97,
"target_value": -2.376500000000001
} | 33 |
3c9c101d3ca31818a58dc6d661f912ad | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 7}, {"capac... | {"states": [9, 1], "expectation_value": -0.7493492529053647, "params": [[-0.0813], [0.0727]], "bitstrings": ["1111110110", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.0016258618978397873, 0.0018316383172524444], "optimization_time": 3.660573720932007} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(7)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(7)) + -0.75 * (Z(3) @ Z(8)) + -0.5 * (Z(3) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.31081255288526993) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.44775948561421924) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.31081255288526993) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[7];
rz(0.22063... | 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[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 ... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIZIIIIIIZ",
"IIZIIIIZII",
"IZIIIIIIZI",
"IZIIIIIIIZ",
"IIIIIZIIZI",
"IIZIIZIIII",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIZIIIZIII",
"IZIIIIZIII",
"IIIIIZZIII",
"IIIIZIIIZI",
"IIIIZIIZII",
"IIZIZIIIII",
"IZIIZIIIII",
"IIIIZIZIII",
"ZIIIIIIIIZ"... | [
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
-0.25,
-0.75,
-0.75,
-0.5,
-0.75,
-0.5,
-0.75,
-1,
-0.75,
-0.25,
-0.25,
1.75,
-0.25,
-0.25,
-0.75,
-0.75,
-0.25,
-1,
-0.25,
-0.75,
-1.5,
-0.25,
-1,
1,
1.25,
1.5,
1
] | 0.503137 | [
0.31081255288526993,
0.44775948561421924,
0.22063233377674676,
0.8391716738578886,
-0.370649658042186,
1.1956849244237249,
-0.2635388681014347,
0.12082703265010854,
-1.408452584750217,
1.1289956896569686
] | {
"n_parameters": 10,
"n_qubits": 10,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 277 |
5762622396071207831 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 2, 5, 7], [8, 5, 7], [8, 9], [1, 4, 5, 6, 8], [0, 3]]} | {"states": [954, 942], "expectation_value": -0.8982775886631499, "params": [1.1038000000000001, -0.1173, 1.0991, 0.0053, 1.0959, -0.2091, 1.0852, 0.0022, 1.0939, -0.2092, 1.0856000000000001, 0.0054, 0.48900000000000005, 0.3904, 0.48910000000000003, 0.0046, 1.0925, -0.2187, 1.0835000000000001, 0.0049, 1.0917000000000001... | 0.05 * (Z(0) @ Z(1)) + 0.05 * (Z(2) @ Z(1)) + 0.05 * (Z(2) @ Z(0)) + 0.1 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(2)) + 0.05 * (Z(7) @ Z(1)) + 0.05 * (Z(7) @ Z(0)) + 0.05 * (Z(7) @ Z(2)) + 0.21666666666666667 * (Z(7) @ Z(5)) + 0.05 * (Z(8) @ Z(1)) + 0.21666666666666667 * (Z(8) @ Z(5)) + 0.1666666666666... | 5 | 10 | 1 | {"smallest_eigenvalues": [-1.7333333333333336, -1.7333333333333336, -1.7333333333333336, -1.7333333333333336, -1.7333333333333336, -1.7333333333333336, -1.7333333333333336, -1.7333333333333336, -1.7333333333333336, -1.7333333333333336, -1.7333333333333336, -1.7333333333333336, -1.7333333333333336, -1.7333333333333336, ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(2.1723872286672954) q[0];
rz(-0.16766206553936858) q[0];
rx(1.144666930313772) q[1];
rz(0.20259459916186806) q[1];
rx(2.192166808143757) q[2];
rz(0.040135115878439986) q[2];
rx(0.0705470809464891) q[3];
rz(0.7281191949185759) q[3];
rx(0.08894696449530201) q[4];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIIZII",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZIIIIZII",
"IIZIZIIIII",
"IZIIIIIIZI",
"IZIIZIIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"IIIIIZIIZI",
"IIIIZZIIII",
"IZIIIZIIII",
"IIIZIIIIZI",
"IIIZZIIIII",
"IZIZIIIIII"... | [
0.05,
0.05,
0.05,
0.1,
0.05,
0.05,
0.05,
0.05,
0.05,
0.21666666666666667,
0.05,
0.21666666666666667,
0.16666666666666666,
0.5,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.5,
0.19999999999999996,
0.09999999999999998,
0.1,
0.3666666666666667,
0.26666666666666666,
... | 0.973306 | [
2.1723872286672954,
-0.21155291173793841,
1.144666930313772,
0.18465985756545975,
2.1921668081437566,
0.05056760283625876,
0.07054708094648908,
0.0634297767164868,
0.08894696449530201,
-0.6242518198393237,
2.5066780427917847,
0.10844789890333986,
0.14482270355223537,
0.023217291019214784,
... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -1.7333333333333336,
"target_ratio": 0.97,
"target_value": -1.6813333333333336
} | 60 |
5bfd79024282ae69c62758a244a2de56 | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [41, 44], "expectation_value": -2.9963046695352116, "params": null, "bitstrings": ["010110", "010011"], "total_optimization_steps": 20, "probabilities": [0.0670646542080499, 0.9295035146573057], "optimization_time": 10.101498365402222} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["010011", "010101", "010110"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(3.040705587759774) q[0];
ry(3.0322761206209288) q[0];
rz(0.23746657912877067) q[0];
rz(-0.5485384081350269) q[1];
ry(0.03463465039766057) q[1];
rz(1.8086014627808424) q[1];
rz(2.1740019225107847) q[2];
ry(2.742027400286282) q[2];
rz(-0.45482682963069987) q[2];
rz(0.8... | 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[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",
"IIIZZI",
"IZIIZI",
"IZZIII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
0,
-1,
-0.5,
-0.5
] | 0.974004 | [
1.0529037450256176,
0.06477150500217821,
0.0632023087334098,
0.46017332254292537,
1.2192432119969236,
0.14088225722938502,
1.1314918741657554,
-0.05745195682464036,
-0.04240668812804869,
-0.5477397576739919,
-0.046155027306700576,
-0.6332603826055265,
1.1415462481792484,
-0.100403553526293... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 15 |
2fc4cdd822562fe181c001ffdae1abb5 | 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": 1, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 9}, {"capacity": 4, "source": ... | {"states": [0, 2046], "expectation_value": -15.34310723822909, "params": [[[0.7639, -0.8925000000000001], [0.0027, 1.2015], [0.002, 0.0026000000000000003], [0.0027, 0.0025], [0.0024000000000000002, 0.0018000000000000002], [-0.0011, 0.0017000000000000001], [-0.003, 0.0026000000000000003], [0.0032, 0.0031000000000000003]... | -0.25 * (Z(0) @ Z(8)) + -0.75 * (Z(11) @ Z(0)) + -1.0 * (Z(1) @ Z(4)) + -0.25 * (Z(7) @ Z(11)) + -0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(7)) + -0.5 * (Z(5) @ Z(11)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(5)) + -0.75 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(1)) + -0.25 * (Z... | 15 | 12 | 1 | {"smallest_eigenvalues": [-17.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.25, "smallest_bitstrings": ["100000000001"], "largest_eigenvalue": 22.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.024282349577383334) q[0];
ry(0.12706985798668663) q[1];
ry(-0.014984668063845045) q[2];
ry(0.07075306387243933) q[3];
ry(0.00032754987560388443) q[4];
ry(-0.03872712293314353) q[5];
ry(-0.0618877260810989) q[6];
ry(0.0008673093255641869) q[7];
ry(0.075058556969133... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIZIIIIIIIZ",
"ZIIIIIIIIIIZ",
"IIIIIIIZIIZI",
"ZIIIZIIIIIII",
"IIIIZIIZIIII",
"IIIIIIIZIZII",
"IIIIZIIIIZII",
"ZIIIIIZIIIII",
"IIIIIIZIIIZI",
"IIIIIZIIIZII",
"IIIIIZZIIIII",
"IIZIIIIZIIII",
"IIZIIIIIIIZI",
"IIZIZIIIIIII",
"IIZIIIIIIZII",
"IIZIIIZIIIII",
"IIIZIIIIZIII",
"IIIIIIIIZ... | [
-0.25,
-0.75,
-1,
-0.25,
-0.25,
-0.25,
-0.75,
-0.5,
-0.5,
-1,
-1,
-0.75,
-0.25,
-0.25,
-0.75,
-1,
-1,
1.25,
-0.25,
-0.5,
-1.25,
-0.25,
-0.75,
-1.25,
-0.75,
0.75,
-0.25,
-1.25,
-1.25,
0.25,
-0.5,
0.5,
4.25,
-1.25,
0.25,
-2.75,
1.25
] | 0.970344 | [
0.024282349577383334,
0.12706985798668663,
-0.014984668063845045,
0.07075306387243933,
0.00032754987560388443,
-0.03872712293314353,
-0.0618877260810989,
0.0008673093255641869,
0.07505855696913362,
-0.03419490574580675,
-0.5675217543028909,
0.05085390699289539,
-0.0446574980987833,
0.01734... | {
"n_parameters": 68,
"n_qubits": 12,
"optimal_eigenvalue": -17.25,
"target_ratio": 0.97,
"target_value": -16.732499999999998
} | 87 |
980678711041075930 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 7], [8, 9, 5], [0, 7], [1, 6], [2, 7], [0, 3], [2, 4]]} | {"states": [730, 666], "expectation_value": -2.631214585717914, "params": [1.3005, -0.0529, 1.2956, 0.0024000000000000002, 0.42010000000000003, 0.0444, 0.0795, 0.0002, 1.3045, -0.056100000000000004, 1.3013000000000001, 0.0026000000000000003, 0.8889, 0.373, 0.4474, 0.0089, 0.6749, 0.0199, 0.0442, 0.0098, 1.2987, -0.0394... | 0.5 * (Z(8) @ Z(7)) + 0.16666666666666666 * (Z(9) @ Z(8)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(5) @ Z(9)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(7) + 0.16666666666666663 * Z(8) + 0.16666666666666666 * Z(9) + 0.1... | 6 | 10 | 1 | {"smallest_eigenvalues": [-3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["1110000010", "0101110100", "0001101101", "0101100101", "0001111100", "1010001010"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.4512088254019708) q[0];
rz(1.598045542804682) q[0];
rx(0.0704191225474152) q[1];
rz(1.643056388978029) q[1];
rx(1.4520323808904025) q[2];
rz(1.4921407482782891) q[2];
rx(0.39855727999930474) q[3];
rz(1.802923674294811) q[3];
rx(0.3880003681878238) q[4];
rz(1.56087... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IZZIIIIIII",
"ZZIIIIIIII",
"IZIIZIIIII",
"ZIIIZIIIII",
"IIZIIIIIIZ",
"IIIZIIIIZI",
"IIZIIIIZII",
"IIIIIIZIIZ",
"IIIIIZIZII",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII",
"IIIIZIIIII",
"IIIIIIIIIZ",
"IIIZIIIIII",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIIZIIII"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0.16666666666666663,
0.16666666666666666,
0.16666666666666666,
0,
0,
0,
0,
0,
0
] | 0.972414 | [
1.4512088254019708,
0.027249216009785634,
0.0704191225474152,
0.07226006218313237,
1.4520323808904028,
-0.07865557851660701,
0.3985572799993047,
0.23212734749991457,
0.38800036818782385,
-0.009924028586460229,
1.4747139107253011,
0.12261845774848744,
1.3545873770811627,
-0.0121924428076309... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -3.333333333333333,
"target_ratio": 0.97,
"target_value": -3.233333333333333
} | 55 |
8f80463061dac6ffb1ebd4107775147b | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": ... | {"states": [143, 191], "expectation_value": -13.687839089629021, "params": null, "bitstrings": ["1101110000", "1101000000"], "total_optimization_steps": 100, "probabilities": [0.11658561457608013, 0.5347482342685865], "optimization_time": 174.45864129066467} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + -2.5 * (Z(2) @ Z(6)) + -2.0 * (Z(2) @ Z(9)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(9)) + -2.0 * (Z(8) @ Z(2)) + -1.5 * Z(1) + -1.5 * Z(0) +... | 5 | 10 | 1 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["1101000000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.0182321452299936) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.09450283829425464) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(1.0182321452299936) q[1];
rx(0.9541175722772781) q[1];
rz(0.09450283829425464) q[3];
cx q[0], q[3];
... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[6], 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] = measu... | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIZZIIII",
"IIZZIIIIII",
"ZIZIIIIIII",
"ZIIZIIIIII",
"IIZIIIIZII",
"IIIZIIIZII",
"ZIIIIIIZII",
"IZIZIIIIII",
"ZZIIIIIIII",
"IZIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIZIIIIIII",
"IIIZIIIIII"... | [
-1.5,
0.5,
0.5,
-1,
-2,
0.5,
-2,
0.5,
-2.5,
-2,
0.5,
0.5,
-2,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.536993 | [
1.0182321452299936,
0.09450283829425464,
1.6525611961391342,
0.7598268398099871,
0.8632312990228548,
0.9541175722772782
] | {
"n_parameters": 6,
"n_qubits": 10,
"optimal_eigenvalue": -18,
"target_ratio": 0.97,
"target_value": -17.46
} | 161 |
5790406016412728325 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3], [2, 5], [3, 4], [1, 6], [0, 5], [0, 1], [2, 6, 7], [1, 2]]} | {"states": [178, 170], "expectation_value": -1.5920840072098776, "params": [0.9063, -0.0219, 0.9007000000000001, 0.004, 0.6084, 0.0102, 0.3768, 0.0, 0.898, -0.0285, 0.8964000000000001, 0.0085, 0.8944000000000001, 0.1004, 0.6737000000000001, 0.007500000000000001, 0.9084000000000001, -0.047900000000000005, 0.8971, 0.0033... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(5) + 0.16666666666... | 6 | 8 | 1 | {"smallest_eigenvalues": [-3.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5000000000000004, "smallest_bitstrings": ["01010101"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.635763704531231) q[0];
rz(1.48137303344172) q[0];
rx(-0.17368266947137756) q[1];
rz(1.2637169320858472) q[1];
rx(1.6021445203024456) q[2];
rz(1.6105151178959378) q[2];
rx(-0.022612302891672303) q[3];
rz(1.0501545357205941) q[3];
rx(1.3104265219786095) q[4];
rz(1.66... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIIZII",
"IIIZZIII",
"IIIIIIZZ",
"IIIIIZZI",
"IZIIIZII",
"IZIIIIZI",
"ZIIIIZII",
"ZZIIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIZII",
"IIIZIIII",
"IIIIIIZI",
"IZIIIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0,
0,
0,
0.16666666666666696,
0,
0,
0.16666666666666663,
0.16666666666666666
] | 0.970995 | [
1.635763704531231,
-0.08942329335317621,
-0.17368266947137756,
-0.30707939470904966,
1.6021445203024456,
0.03971879110104138,
-0.022612302891672306,
-0.520641791074303,
1.3104265219786098,
0.09328077409473279,
0.38069206610933704,
-0.0728610927175935,
0.6564711144547959,
0.1729576100770851... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -3.8333333333333335,
"target_ratio": 0.97,
"target_value": -3.7183333333333333
} | 72 |
f0c12db79dee0b687c7216d34d2c80e9 | 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": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 6... | {"states": [1, 17], "expectation_value": -5.763756605303336, "params": [[[0.0031000000000000003, 1.0795000000000001], [0.0027, 0.9888], [-0.8002, 0.0014], [0.0027, 1.0959], [0.0025, 1.1812], [0.0027, 1.1308], [1.5843, 0.0032]], [[0.0031000000000000003, 0.002], [0.0027, 0.0076], [-0.8003, 0.0071], [0.0027, 0.0081], [0.0... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(5)) + 0.75 * Z(1) + -0.25 * Z(0) + -0.5 * Z(3) + -0.75 * Z(4) + 0.7... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.25, "smallest_bitstrings": ["1101110"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.45605851751608306) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.45605851751608306) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.45605851751608306) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.45605851751608306) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"ZIIIIIZ",
"IZIIIZI",
"IZIZIII",
"IIIZZII",
"ZIIIZII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII",
"IIIIZII"
] | [
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
1.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
0.75,
-0.25,
-0.5,
-0.75,
0.75,
-0.75,
0.75
] | 0.570419 | [
-0.45605851751608306,
-0.12274039644831539,
0.1713832364029646,
1.4202059135694185,
-1.2442458492292447,
-1.3380302371622426
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 159 |
4788755b9046cb997ec5043a21f8c9e6 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 13, "source": 0, "target": 4}, {"weight": 17, "source": 1, "tar... | {"states": [252, 236], "expectation_value": -24.231375364961362, "params": [[0.036000000000000004, -0.0012000000000000001, -0.035500000000000004, -0.0381], [-0.0494, -0.0431, 0.0083, 0.0495]], "bitstrings": ["100000011", "100010011"], "total_optimization_steps": 10, "probabilities": [0.007045313518893991, 0.00932010800... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-98.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.0, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 192.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.03403160597780367) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.03403160597780367) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.03403160597780367) q[1];
cx q[0], q[1];
h q[3];
cx q[0], q[3];
rz(-0.03403160597780367) q[3];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZZIIIII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10,
5,
24.5,
22,
23,
5,
20.5,
9.5,
-4
] | 0.973244 | [
-0.03403160597780367,
-1.346127074484193,
1.576569062334897,
-1.9306515494972587,
-1.6352730170387917,
-1.6057071926812976,
-1.665909739693592,
1.224431153956964,
1.726462556839075,
1.4983459587508987
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -98,
"target_ratio": 0.97,
"target_value": -95.06
} | 40 |
-7340072773834545871 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[5, 6], [0, 8], [1, 3], [0, 3, 6], [4, 5], [0, 2, 5], [1, 5], [8, 5], [8, 2, 6], [4, 7]]} | {"states": [213, 362], "expectation_value": -0.05220703590372241, "params": [[-0.050800000000000005], [0.059000000000000004]], "bitstrings": ["100101010", "010010101"], "total_optimization_steps": 10, "probabilities": [0.0021151607776658207, 0.002123624482243443], "optimization_time": 3.4172451496124268} | 0.5 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.8333333333333326], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5000000000000004, "smallest_bitstrings": ["010010101"], "largest_eigenvalue": 6.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
ry(-0.26259001111692293) q[1];
ry(-2.8396349274423094) q[2];
rz(-pi) q[2];
h q[3];
ry(1.3884670111903314) q[3];
h q[4];
ry(-0.781633829268862) q[4];
h q[5];
cx q[5], q[1];
ry(0.26259001111692293) q[1];
cx q[5], q[1];
ry(-0.3661302329509604) q[1];
cx q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[6], q[5];
rz(x0) q[5];
cx q[6], q[5];
cx q[6], q[0];
rz(x1) q[0];
cx q[6], q[0];
cx... | null | {"circuits": [], "gradients": []} | [
"IIZZIIIII",
"IIZIIIIIZ",
"IIIZIIIIZ",
"ZIZIIIIII",
"ZIIZIIIII",
"ZIIIIIIIZ",
"IIIZIIIZI",
"IIZIIZIII",
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIZZIIII",
"IIZIIIZII",
"IIIZIIZII",
"IIIIIIZIZ",
"ZIIIIIZII",
"IZIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIIZI",
"... | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.33333333333333326,
0.16666666666666607,
0.333333333333... | 0.971756 | [
1.2439675702536817,
-0.5251800222338459,
1.3884670111903314,
-0.7322604659019208,
1.5530969349190729,
-1.563267658537724,
-0.934188061887914,
1.4561482992396158,
-0.6266704380116496,
-1.171658869114451,
0.7486958544526324,
-0.29175944882873384,
0.053839106578380105,
0.6722627064051796,
-... | {
"n_parameters": 52,
"n_qubits": 9,
"optimal_eigenvalue": -3.8333333333333326,
"target_ratio": 0.97,
"target_value": -3.7183333333333324
} | 18 |
a3571c19d72a014065614d323aff3379 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [12, 5], "expectation_value": -0.17403152300457053, "params": [[-0.055900000000000005, -0.0408, -0.0357], [0.06670000000000001, 0.054400000000000004, 0.052500000000000005]], "bitstrings": ["110011", "111010"], "total_optimization_steps": 10, "probabilities": [0.018962057094153623, 0.01964475130278001], "opti... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(5... | 1 | 6 | 3 | {"smallest_eigenvalues": [-2.875, -2.875], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.875, "smallest_bitstrings": ["110011", "111010"], "largest_eigenvalue": 5.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.362712956693458) q[0];
h q[1];
ry(-0.362712956693458) q[1];
h q[2];
ry(-0.362712956693458) q[2];
h q[3];
cx q[3], q[2];
ry(0.362712956693458) q[2];
cx q[3], q[2];
ry(-0.8545707286531208) q[2];
ry(1.2709249526324335) q[3];
h q[4];
cx q[4], q[0];
ry(0.362712... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIZZI",
"IIZIZI",
"IIIIZZ",
"IIZZII",
"IIIZIZ",
"IIZIIZ",
"IIZZZI",
"IIIZZZ",
"IIZIZZ",
"IIZZIZ",
"IIZZZZ",
"ZIIZII",
"IZZIII",
"ZIZIII",
"ZZIIII",
"ZZZIII",
"IIIIZI",
"IIIZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"ZIIIII"
] | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.625,
-0.125,
0.125,
-0.625,
-0.75,
-0.25
] | 0.975572 | [
-0.725425913386916,
1.0706273462922709,
1.3425111777435603,
0.63039906660102,
-0.680705231014584,
-0.40156305610165266,
-0.260757100747384,
0.5178049646920392,
0.4005952126803254,
-0.5439106489094752,
0.08432570462335529,
-0.40927439929699994,
-0.3477309952770732,
0.042917048675201463,
-... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 20 |
94b4685949b0232e6f45bdcd5b80e7ab | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [100, 58], "expectation_value": -0.3352905082289286, "params": [[-0.0516, 0.0086, 0.07930000000000001], [0.07640000000000001, 0.0529, -0.0526]], "bitstrings": ["0011011", "1000101"], "total_optimization_steps": 10, "probabilities": [0.009568644218694073, 0.010125180156120895], "optimization_time": 4.06537032... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(5) + -1.5 * Z(6) + 0.0 * Z(1) + -0.5 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000101"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.6003112138562008) q[0];
h q[1];
ry(1.5341979766004288) q[1];
ry(-3.0257311896122494) q[2];
rz(-pi) q[2];
cx q[1], q[2];
ry(-0.1006576401825402) q[2];
cx q[1], q[2];
ry(-0.00033704463714811367) q[1];
h q[3];
ry(1.3542772226348128) q[3];
ry(-0.07867566167356... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZIIZ",
"IZIIIIZ",
"ZIIIZII",
"ZIIIIIZ",
"ZZIIIII",
"ZIIIIZI",
"IIZIZII",
"IIZZIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-0.5,
-0.5,
-1.5,
0,
-0.5
] | 0.996853 | [
-1.6003112138562008,
-1.5712307081150918,
-1.4349152172149955,
1.5341979766004288,
1.3542772226348128,
-0.11441089581268042,
0.2013152803650804,
0.18845931115321368,
-0.11702323405277497,
-0.0006740892742962273,
-0.06790808289822309,
-0.07867789271409684,
0.01138260793953559
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
4ff6cd3ae35a7505dd00eb5f37bcfa52 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}], "edges": [{"weight": 2, "source": 0, "target": 3}, {"weight": 8, "... | {"states": [117, 93], "expectation_value": -25.666185317352564, "params": [[-0.0162, -0.018500000000000003, 0.0002, 0.0047], [0.038200000000000005, 0.0528, 0.058600000000000006, 0.0545]], "bitstrings": ["10001010", "10100010"], "total_optimization_steps": 10, "probabilities": [0.015028734838484398, 0.016628792363452178... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(4)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 17.5 * Z(1) + -3.0 * Z(0) + 15.0 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 139.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.09219022397749128) q[0];
cx q[1], q[0];
rz(-1.2871422316693653) q[0];
rx(0.10379619859919222) q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.09219022397749128) q[4];
cx q[1], q[4];
cx q[1], q[2];
rz(0.09219022397749128) q[2];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIZI",
"IIIIIZZI",
"IIIZIZII",
"IIIIZIZI",
"IIIZZIII",
"IIIIZZII",
"IIZIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
17.5,
-3,
15,
12,
17,
12.5,
5,
11.5
] | 0.979572 | [
0.09219022397749128,
0.8982429000207126,
-1.2871422316693646,
0.24599877936251585,
-0.9798884543189016,
0.6694199466030656,
0.8683968766675187,
-0.3547308698519625,
0.9369223338993231,
0.10379619859919209,
-0.08770470281201148,
0.5841101200094906,
-0.6227792457430795,
1.1403942607354456,
... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 37 |
9994d9c0864e8ab88d6d9169e088b46e | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 5}, {"weight": 11, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 6}, {... | {"states": [126, 122], "expectation_value": -5.247406279391271, "params": [[0.0426], [-0.0344]], "bitstrings": ["10000001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.005371918593315225, 0.005639283304003293], "optimization_time": 1.8340122699737549} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(5) @ Z(6)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 11.5 * Z(0) + 14.0 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 143.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.11596378006153223) q[0];
rz(0.284417285133328) q[0];
rx(0.9079841915554171) q[1];
rz(0.024714267906631924) q[1];
rx(0.7975047609449103) q[2];
rz(0.10494849557346886) q[2];
rx(0.9341338115562028) q[3];
rz(-0.00661968580596823) q[3];
rx(0.9079841915554171) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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",
"IIIZIIIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZZIII",
"IZIIIZII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
11.5,
14,
10,
17.5,
13.5,
1,
10.5
] | 0.984616 | [
-0.11596378006153223,
0.3017390316030879,
0.9079841915554171,
0.024714267906631924,
0.7975047609449103,
0.10494849557346886,
0.9341338115562028,
-0.00661968580596823,
0.06657420471963857,
-0.0771816746141428,
0.4297982157077295,
0.6553221677779906,
0.11368518825262512,
-0.01430271979699142... | {
"n_parameters": 91,
"n_qubits": 8,
"optimal_eigenvalue": -65.5,
"target_ratio": 0.97,
"target_value": -63.535
} | 12 |
4654484737765472205 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 4], [1, 3, 4, 6], [0, 3, 4, 7], [0, 2, 3, 6, 7], [3, 4, 5, 7], [2, 5], [3, 4, 5, 6]]} | {"states": [223, 207], "expectation_value": -1.33615357467029, "params": [1.1938, 0.0732, 1.1863000000000001, 0.0013000000000000002, 1.1847, -0.2872, 0.9855, 0.0036000000000000003, 0.5263, 0.43420000000000003, 0.5204, 0.0083, 1.1557, -0.10840000000000001, 1.0891, 0.0054, 1.1995, -0.2214, 1.1964000000000001, 0.0085, 1.1... | 0.5 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(3) @ Z(4)) + 0.05 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.05 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.21666666666666667 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(... | 5 | 8 | 1 | {"smallest_eigenvalues": [-2.2], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.116666666666667, "smallest_bitstrings": ["00110000"], "largest_eigenvalue": 6.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(0.5417405582926322) q[2];
cx q[4], q[2];
cx q[4], q[1];
rz(0.0030724407483705626) q[1];
cx q[4], q[1];
cx q[4], q[3];
rz(0.07226150246343463) q[3];
cx q[4], q[3];
cx q[2], q[3];
rz(-0.00048461808960245206) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIZII",
"IIIZIIZI",
"IIIZZIII",
"IIIIZZII",
"IIIIZIZI",
"IZIZIIII",
"IZIIIZII",
"IZIIIIZI",
"IZIIZIII",
"IIIZIIIZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IZIIIIIZ",
"ZIIZIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZZIIIIII",
"ZIIIIIIZ",
"IIZZIIII",
"IIZIIZII",
"IIZIZIII",
"IZZIIIII",
"ZIZIIII... | [
0.5,
0.08333333333333333,
0.3333333333333333,
0.05,
0.08333333333333333,
0.16666666666666666,
0.05,
0.08333333333333333,
0.21666666666666667,
0.08333333333333333,
0.05,
0.13333333333333333,
0.05,
0.16666666666666666,
0.05,
0.21666666666666667,
0.05,
0.13333333333333333,
0.1666666... | 0.791975 | [
0.5417405582926322,
0.0030724407483705626,
0.07226150246343463,
-0.00048461808960245206,
0.006119484467823937,
0.0012111248650151986,
0.0001255499722953774,
-1.5056960105291894,
1.5701092860052168,
-1.5624823425095062,
1.5701909660666011,
1.5705886299080933,
1.5921390784682226,
-1.47245623... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -2.2,
"target_ratio": 0.97,
"target_value": -2.134
} | 341 |
2dc2df5fbad2a9e0fc216179a9c5cefa | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target... | {"states": [21930, 43605], "expectation_value": -0.01963835191760481, "params": [[-0.0721], [0.069]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 10, "probabilities": [1.6514227442836617e-05, 1.6514227442836627e-05], "optimization_time": 14.025596380233765} | 0.25 * (Z(0) @ Z(1)) + 0.00012500000000000003 * (Z(2) @ Z(0)) + 0.00012500000000000003 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0010000000000000002 * (Z(4) @ Z(0)) + -0.00075 * (Z(4) @ Z(2)) + -0.0010000000000000002 * (Z(5) @ Z(1)) + -0.00075 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00012500000000000003 * (Z(6) @ ... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.023249999999963], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0232499999999196, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.014999999999988} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.4773124502728967) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.019488110782752456) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.019488110782752456) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-1.4773124502728967) q[3];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(x0) q[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
0.00012500000000000003,
0.00012500000000000003,
0.25,
-0.0010000000000000002,
-0.00075,
-0.0010000000000000002,
-0.00075,
0.25,
0.00012500000000000003,
-0.0010000000000000002,
-0.00075,
0.00012500000000000003,
-0.0010000000000000002,
-0.00075,
0.25,
0.0001875,
0.000375,
-0.... | 0.978924 | [
-1.4773124502728967,
-0.019488110782752456,
0.02202780555142391,
-0.023461555294927813,
0.7447478546507279
] | {
"n_parameters": 5,
"n_qubits": 16,
"optimal_eigenvalue": -2.023249999999963,
"target_ratio": 0.97,
"target_value": -1.9625524999999642
} | 17 |
8404d93ed4d7eabe69693c9279e1591c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 6}, {"source": 1, "target": 3}, {"source": 2, "ta... | {"states": [28, 29], "expectation_value": -3.3358075894750394, "params": [0.0026000000000000003, -0.11410000000000001, 0.1832, 0.2745, 0.0006000000000000001, -0.2711, 0.6083000000000001, 0.0033, 0.6071000000000001, 0.0049, 0.6056, 0.0031000000000000003, -0.0077, 0.30260000000000004, 0.6068, -0.0026000000000000003, 0.00... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + -0.5 * Z(7) + -1.0 * Z(6) + 0.0 * Z(3) + -1.0 * Z(2) + 0.0 * Z(4) | 4 | 8 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["01000111", "10110010", "11100010", "11101000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.0003104135974118793) q[0];
rz(1.0527410775565418) q[0];
rx(0.07230256487155504) q[1];
rz(1.8389777658047342) q[1];
rx(-0.13011901737340253) q[2];
rz(0.9256365029571807) q[2];
rx(0.740783744812305) q[3];
rz(1.5206246460033288) q[3];
rx(0.7046626240103717) q[4];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIZIIIIZ",
"ZIIIIIIZ",
"IZIIIIZI",
"IIIIZIZI",
"IIZIIZII",
"ZIIIIZII",
"IZIIIZII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-0.5,
-1,
0,
-1,
0
] | 0.97835 | [
0.00031041359741187935,
-0.5180552492383541,
0.07230256487155504,
0.26818143900983776,
-0.13011901737340253,
-0.6451598238377161,
0.7407837448123048,
-0.050171680791567766,
0.7046626240103716,
-0.012305692177808664,
1.1796464052276585,
0.023239931093879677,
0.008825957151162384,
0.20050607... | {
"n_parameters": 66,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 17 |
3476127436ef1fc9661302ffcfc97164 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"s... | {"states": [0, 8191], "expectation_value": -50.6127017853449, "params": [[[0.0028, 1.6032000000000002], [0.0018000000000000002, 0.0018000000000000002], [0.0021000000000000003, 0.0019], [0.0018000000000000002, 0.002], [0.002, 0.0021000000000000003], [-0.003, 0.0025], [0.0023, 0.0026000000000000003], [0.00210000000000000... | -3.0 * (Z(0) @ Z(2)) + -3.5 * (Z(4) @ Z(2)) + -3.0 * (Z(4) @ Z(0)) + -3.5 * (Z(5) @ Z(2)) + -3.0 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(4)) + -3.0 * (Z(6) @ Z(2)) + -3.0 * (Z(6) @ Z(0)) + -3.5 * (Z(6) @ Z(4)) + -3.5 * (Z(6) @ Z(5)) + 1.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(4)) + -3.0 * (Z(1) @ Z(5)) + 1... | 15 | 13 | 1 | {"smallest_eigenvalues": [-54.0, -54.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -52.0, "smallest_bitstrings": ["0000000000000", "0000000111111"], "largest_eigenvalue": 49.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.05979959643919604) q[0];
ry(-0.005480775198032292) q[1];
ry(0.06436537778385987) q[2];
ry(-0.005480775198032292) q[3];
ry(0.05466412024101717) q[4];
ry(0.062193916494728184) q[5];
ry(-0.057793889912247404) q[6];
ry(0.06436537778385987) q[7];
ry(-0.0357255682813179... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"node": 13} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZIZ",
"IIIIIIIIZIZII",
"IIIIIIIIZIIIZ",
"IIIIIIIZIIZII",
"IIIIIIIZIIIIZ",
"IIIIIIIZZIIII",
"IIIIIIZIIIZII",
"IIIIIIZIIIIIZ",
"IIIIIIZIZIIII",
"IIIIIIZZIIIII",
"IIIIIIIIIIZZI",
"IIIIIIIIIIIZZ",
"IIIIIIIIZIIZI",
"IIIIIIIZIIIZI",
"IIIIIIZIIIIZI",
"IIIIIIIIIZZII",
"IIIIIIIIIZI... | [
-3,
-3.5,
-3,
-3.5,
-3,
2,
-3,
-3,
-3.5,
-3.5,
1,
1,
-3,
-3,
1,
-3,
1,
1,
1,
-3,
-2.5,
1,
-2,
-3,
0.5,
0.5,
-3,
1,
-3,
-3,
1,
0.5,
-2.5,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
0.5,
0.5,
-2,
1.5,
-1.5
] | 0.971959 | [
0.05979959643919604,
-0.005480775198032292,
0.06436537778385987,
0.05466412024101717,
0.062193916494728184,
-0.057793889912247404,
-0.03572556828131797,
-0.05317220019844263,
0.010269056941836066,
2.384335087873905,
0.06623345417393846,
0.11522994276056156,
-0.048632001501458216,
-0.125507... | {
"n_parameters": 14,
"n_qubits": 13,
"optimal_eigenvalue": -54,
"target_ratio": 0.97,
"target_value": -52.379999999999995
} | 12 |
dc8ac5f82febba9dcace181eb5c76eb3 | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": ... | {"states": [21, 22], "expectation_value": -3.496398041568179, "params": null, "bitstrings": ["101010", "101001"], "total_optimization_steps": 25, "probabilities": [0.06635196634142619, 0.930327020293955], "optimization_time": 19.47543716430664} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["101001", "101010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.009159858931667007) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.009159858931667007) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.009159858931667007) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.009159858931667007) q[4];
c... | 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[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",
"IIIZZI",
"IIIZIZ",
"IIZIIZ",
"IIZZII",
"ZIIZII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
-0.5,
-0.5,
0
] | 0.813356 | [
0.009159858931667007,
0.12494940013551502,
-0.9996743752342083,
-1.0785898614158156,
0.2672658208067165,
1.0891742212764537,
-1.2802161128055969,
0.024697662159371404,
0.6853541264808383,
-0.33614577142982505,
-0.6001841465958335,
0.46393008337570263,
0.1161236905431224,
-0.536284086667138... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 415 |
2d66a63516707ef6fa08689003d445e4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capaci... | {"states": [25, 31], "expectation_value": -4.247334017010428, "params": null, "bitstrings": ["100110", "100000"], "total_optimization_steps": 35, "probabilities": [0.24945952058901016, 0.7485756074158377], "optimization_time": 27.730213403701782} | -0.25 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + 0.25 * Z(4) + -0.25 * Z(0) + 0.75 * Z(1) + 0.25 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.045249314476118775) q[0];
ry(-0.09669560328563567) q[1];
ry(-0.03838379751098028) q[2];
ry(0.014164474914697217) q[3];
ry(1.3425228774533042) q[4];
ry(-1.5424621818592792) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5486) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IZIIIZ",
"IZIIZI",
"IIIZZI",
"IZZIII",
"IIZIZI",
"ZIIIIZ",
"ZIIIZI",
"ZIIZII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
-0.25,
-0.5,
-0.75,
-1,
-0.5,
0.5,
-0.5,
-0.5,
0.25,
-0.25,
0.75,
0.25,
-0.5,
-0.5
] | 0.975709 | [
-0.045249314476118775,
-0.09669560328563567,
-0.03838379751098028,
0.014164474914697217,
1.3425228774533042,
-1.5424621818592792,
0.042932205280697015,
0.41990295334686945,
-0.08410675703429009,
0.011798461387283209,
-0.05732375796055354,
-0.015000365546906917,
-0.27227999211895876,
0.0942... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 97 |
edc3bac605c0e8fb4f027513dd92e8fb | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [20, 6], "expectation_value": -3.473756712958944, "params": null, "bitstrings": ["01011", "11001"], "total_optimization_steps": 15, "probabilities": [0.07348052951562349, 0.9007122774688736], "optimization_time": 10.546190023422241} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(4) + -0.5 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["01011", "11001"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.16175234084033957) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.16175234084033957) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.16175234084033957) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.16175234084033957) q[4];
c... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IZIZI",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"ZZIII",
"IIZZI",
"ZIZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1.5,
-0.5
] | 0.972373 | [
-0.16175234084033957,
-1.87532801107341,
-0.05801357308838576,
0.10605362145925226,
-1.1416650171566816,
0.4399114001229122,
1.0360662674525876,
-1.009520344317765,
0.7718866700779633,
-0.5658460915133537,
0.2880179831430165,
-2.7932233839467817,
-0.24448320489468112,
-0.7290022026259505,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 239 |
b72451fd8beb69606a84f4be9a392c11 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 4, "source": 2, ... | {"states": [125, 1], "expectation_value": -0.8689574654644884, "params": [[0.0522, 0.0078000000000000005], [-0.0504, -0.025500000000000002]], "bitstrings": ["10000010", "11111110"], "total_optimization_steps": 10, "probabilities": [0.005413328362241257, 0.005726539632393976], "optimization_time": 3.871904134750366} | -1.0 * (Z(0) @ Z(4)) + -1.25 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + -1.0 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + 2.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -13.0, "smallest_bitstrings": ["11111110", "10000010", "11000010"], "largest_eigenvalue": 13.0} | 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[0];
rz(4.5847965068196375e-09) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(-0.047144458058862276) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[2];
rz(4.5847965068196375e-09) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIZZIIII",
"IIZIIIIZ",
"IZIIIIIZ",
"IZZIIIII",
"IIIZIZII",
"IZIIIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIZIII",
"IIIIZZII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"IIIZIIZI",
"IIZIIIZI",
"IIIZIIII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIZIII",
"ZIIIIII... | [
-1,
-1.25,
-0.75,
-0.75,
-0.25,
-1,
-1,
-1,
-0.75,
-1,
-1,
2.75,
-0.75,
-1,
-0.5,
-0.75,
0.75,
-0.25,
0.25,
-3,
1.75,
0.75,
1,
-1.25
] | 0.897762 | [
4.5847965068196375e-9,
-0.047144458058862276,
1.958412113975725e-8,
-0.5570436665027615,
-6.440595128275094e-8,
-5.3799991138860575e-8,
1.5707963359197723,
1.5707963772985278,
-1.5707963090253823,
1.5707963669799336,
1.570796306035255,
-1.570796301813503
] | {
"n_parameters": 12,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 287 |
4d1240ef072f6b149c3e83e07e8a9609 | 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": 4, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 5, "source": 0, ... | {"states": [0, 1], "expectation_value": -15.315187715376082, "params": [0.0028, 0.3482, 0.0023, 0.45690000000000003, 0.0035, 0.369, 0.0039000000000000003, 0.448, 0.0029000000000000002, 0.4435, 0.0025, 0.439, 0.0017000000000000001, 0.30610000000000004, 0.6053000000000001, 0.0039000000000000003, 0.0027, 0.230200000000000... | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(0)) + -1.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + 4.5 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(3)) + -1.75 * (Z(4) @ Z(5)) + -1.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(5)) + -2.25 * (Z(6)... | 4 | 8 | 3 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.03094265542534383) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.018570212303029236) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.3662410886362089) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.292339872234475) q[3];
cx q[0], 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",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIIZII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII",
"IIIZIIII",
"IZIIIIII"
] | [
-1,
-1.25,
-0.25,
-0.75,
-1.25,
-0.25,
4.5,
-1,
-0.75,
-1.75,
-1.25,
-1,
-0.25,
-2.25,
-2.5,
-0.25,
0,
-0.75,
-2,
2.75,
1.5,
1.25
] | 0.972478 | [
-0.03094265542534383,
-0.018570212303029236,
-0.3662410886362089,
-0.292339872234475,
0.18643239165999725,
-0.042105846680713904,
-0.35492225998324284,
-0.9176911559791833,
-0.6585345465350182,
-0.8674445659285661,
0.32348541433135186,
-0.7491769655864439,
-0.8054647241796289,
-1.558448271... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 172 |
ab0784fbffbb4b626ba9d99841d2b14f | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [1484, 1485], "expectation_value": -4.130549385162148, "params": [[[1.5763, -0.002], [-0.0024000000000000002, 1.4051], [1.5746, -0.0027], [1.5822, 0.0014], [1.5704, 0.0019], [0.0025, -1.0503], [0.2001, -0.8518], [1.5769, -0.0027], [1.574, 0.0019], [0.0028, 1.1225], [0.8619, 0.0036000000000000003]], [[1.5699,... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 1 | 11 | 2 | {"smallest_eigenvalues": [-4.625, -4.625, -4.625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.625, "smallest_bitstrings": ["01000110010", "01000101100", "01010000011"], "largest_eigenvalue": 7.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(1.7273199020767764) q[0];
ry(3.042659136195943) q[0];
rz(-1.5878353997749601) q[0];
rz(-2.733347261037527) q[1];
ry(0.0026485178743068443) q[1];
rz(-1.743341729647647) q[1];
rz(1.6620367306114137) q[2];
ry(3.096058271218296) q[2];
rz(-1.641096063887632) q[2];
rz(0.3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIIIZZIIZ",
"IIIIIZIZIIZ",
"IIIIIZZIIIZ",
"IIIIIZZZIII",
"IIIIIZZZIIZ",
"IIIIIIIZZII",
"IIIIZIIIZII",
"IIIZIIIIZII",
"IIIIZIIZI... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125... | 0.970003 | [
1.050503481765616,
0.008517963688172286,
0.02559617152024627,
0.8599828772819351,
1.0386971956546474,
0.002399385446632006,
0.03967030520755195,
0.5919234306003227,
1.0474213433218194,
0.12510881579224384,
0.9371914871392573,
0.13411740186810295,
1.0801586562762653,
0.05021180002296151,
... | {
"n_parameters": 53,
"n_qubits": 11,
"optimal_eigenvalue": -4.625,
"target_ratio": 0.97,
"target_value": -4.48625
} | 6 |
da3c81488557dc57e6e1f0bd43d65336 | 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": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [22, 41], "expectation_value": -0.13721377217295738, "params": [[-0.057300000000000004, 0.050800000000000005, 0.07], [0.08120000000000001, 0.0207, -0.046900000000000004]], "bitstrings": ["101001", "010110"], "total_optimization_steps": 10, "probabilities": [0.018666367787921356, 0.01866636778792136], "optimi... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["010110", "101001"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(2.867085271407469) q[0];
rz(0.3043059900979084) q[0];
rx(0.09235165757558533) q[1];
rz(0.9535806604362476) q[1];
rx(-0.1119442096811765) q[2];
rz(1.1846710426102411) q[2];
rx(3.0988563508695517) q[3];
rz(0.5841200851268177) q[3];
rx(0.14325937118774348) q[4];
rz(-1.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIIZ",
"IIIZZI",
"IIZZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.983007 | [
2.867085271407469,
0.3043059900979084,
0.09235165757558533,
0.9535806604362476,
-0.1119442096811765,
1.1846710426102411,
3.0988563508695517,
0.5841200851268177,
0.14325937118774348,
-1.0539834988881036,
3.200641439537315,
0.13258606659300243
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 12 |
87ba346715d7ffd469182fcb7e9830c2 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6... | {"states": [17, 19], "expectation_value": -0.8766337467968023, "params": [[-0.0507], [0.057600000000000005]], "bitstrings": ["1101110", "1101100"], "total_optimization_steps": 10, "probabilities": [0.010080599455687676, 0.010371942598897694], "optimization_time": 1.6745727062225342} | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + 2.25 * (Z(6) @ Z(0)) + -1.75 * (Z(6) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -2.75 * Z(1) + -0.25 * Z(0) + 4.0 * Z(2) + 1.75 * Z(4) + 0.5 * Z(6) + -1.75 * Z(3) + -1... | 1 | 7 | 1 | {"smallest_eigenvalues": [-16.5, -16.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.5, "smallest_bitstrings": ["1101100", "1101110"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.2424713024680878) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.09609449461972433) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.07103718221836942) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.2424713024680878) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"ZIIIIIZ",
"ZIIIZII",
"IIIZIZI",
"IIZZIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
-1,
-1.25,
-0.5,
-1,
-0.5,
2.25,
-1.75,
-2.5,
-1.75,
-1.5,
-2.75,
-0.25,
4,
1.75,
0.5,
-1.75,
-1.5
] | 0.970277 | [
-0.2424713024680878,
-0.09609449461972433,
-0.07103718221836942,
0.24484176276753844,
-0.5846079027452293,
-0.03545717743987341,
-0.13831910799219202,
-0.24427600165074528,
-0.4294993140104167,
0.03986173338969032,
-0.32853968363508496,
0.40842551468782123,
-0.9636115791438007,
0.066113856... | {
"n_parameters": 39,
"n_qubits": 7,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 83 |
90ed954541db23a75eecb07977c28089 | 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": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": ... | {"states": [28, 3], "expectation_value": -0.6362677252237823, "params": [[0.0073, -0.0463, -0.0337, -0.0454], [-0.0644, 0.0273, 0.030100000000000002, 0.0424]], "bitstrings": ["100011", "111100"], "total_optimization_steps": 10, "probabilities": [0.019385956881098343, 0.01971849301307429], "optimization_time": 6.3857650... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(3) + ... | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["101011", "100111", "111100"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3009393722060807) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.3009393722060807) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.3009393722060807) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(0.3009393722060807) q[0];
cx q[3], q[0];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
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,
-1.5,
-1.5
] | 0.807446 | [
0.3009393722060807,
1.2484013044131173,
-0.3798378390662217,
0.4270385845264586,
-0.18410433411884003,
0.15621560101591658,
0.7528483255570873,
0.46142641491757197,
0.9481662270374182,
-0.565569105340614,
-0.3443169043342043,
-0.45828684618528925,
0.6868535447971575,
-0.27349808895761746,
... | {
"n_parameters": 27,
"n_qubits": 12,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 500 |
3ad034d15769a67626e0c170fe64b71c | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [510, 508], "expectation_value": -2.210775447510271, "params": [[-0.0636], [0.06620000000000001]], "bitstrings": ["000000001", "000000011"], "total_optimization_steps": 10, "probabilities": [0.0034695636212373673, 0.003472941094464471], "optimization_time": 0.8483963012695312} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -3.0 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -3.0 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + -3.0 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -3.0 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(5)) + 0.5 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-25.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["000000011"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.041695849002037155) q[0];
ry(0.04088795745165416) q[1];
ry(0.023090314765882254) q[2];
ry(0.05092268444341061) q[3];
ry(-0.010538310172506947) q[4];
ry(0.051853836175842535) q[5];
ry(0.051853836175842535) q[6];
ry(1.6353867433265634) q[7];
ry(0.1320046203273169) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIIZII",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIZIII",
"IIZZIIIII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZIZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"... | [
-2.5,
-2.5,
-2,
-3,
-3,
1,
-3,
1,
0.5,
-3,
0.5,
0.5,
-3,
1,
0.5,
1,
-2.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.972108 | [
-0.041695849002037155,
0.04088795745165416,
0.023090314765882254,
0.05092268444341061,
-0.010538310172506947,
0.051853836175842535,
1.6353867433265634,
0.1320046203273169,
3.1862002505563423,
0.0006962983162511985,
0.09599539681088118,
0.04165776573019385,
0.016536904572677508,
1.564306419... | {
"n_parameters": 15,
"n_qubits": 9,
"optimal_eigenvalue": -25.5,
"target_ratio": 0.97,
"target_value": -24.735
} | 5 |
5dad688a93671469362a3d3d00961b05 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 3}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 3, "target": 1}, {"source": 3, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}]} | {"states": [26603, 26475], "expectation_value": -7.466049682460257, "params": [[0.13470000000000001, 0.8669, -0.37060000000000004, -0.10360000000000001, 0.5728, 0.1223, 0.8119000000000001, 0.47100000000000003, 0.0094, 1.4553, 0.0026000000000000003, 1.4805000000000001, -0.0106, 1.0982, 0.0287], [2.5556, 2.28130000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.25 * (Z(3) @ Z(9)) + 0.25 * (Z(4) @ Z(10)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(11)) + 0.5 * (Z(5) @ Z(3)) ... | 10 | 15 | 1 | {"smallest_eigenvalues": [-8.749999999999975], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.749999999999957, "smallest_bitstrings": ["001100010010100"], "largest_eigenvalue": 26.250000000000174} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(1.054375204004865) q[0];
ry(1.2513372356561656) q[1];
ry(0.2824769594172304) q[2];
ry(1.4848254273950985) q[3];
ry(1.7704547616171795) q[4];
ry(-0.13250446412763625) q[5];
ry(-0.49590506331342876) q[6];
ry(1.052494121858556) q[7];
ry(0.7429880399328006) q[8];
ry(0.4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"IIIIIZIIIIIZIII",
"IIIIZIIIIIZIIII",
"IIIIIIIIIIZZIII",
"IIIZIIIIIZIIIII",
"IIIIIIIIIZIZIII",
"IIIIIIIIIZZIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.75,
0.75,
0.75,
1.25,
1.25,
1.25,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.975061 | [
1.054375204004865,
1.2513372356561656,
0.2824769594172304,
1.4848254273950985,
1.7704547616171795,
-0.13250446412763625,
-0.49590506331342876,
1.052494121858556,
0.7429880399328006,
0.41317392976743855,
2.5434800341621466,
1.571476038864509,
1.6619437044267633,
0.026188563071984666,
1.62... | {
"n_parameters": 45,
"n_qubits": 15,
"optimal_eigenvalue": -8.749999999999972,
"target_ratio": 0.97,
"target_value": -8.487499999999972
} | 53 |
1530504591674695708 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 5], [2, 7], [3, 6], [2, 4]]} | {"states": [75, 79], "expectation_value": -1.6284788911759618, "params": null, "bitstrings": ["10110100", "10110000"], "total_optimization_steps": 64, "probabilities": [0.08355970514583551, 0.6258941819000132], "optimization_time": 65.07960486412048} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.16666666666666666 * Z(1) + 0.16666666666666666 * Z(0) + 0.16666666666666666 * Z(5) + 0.0 * Z(7) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(3) + 0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333], "number_of_smallest_eigenvalues": 12, "fi... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.5053227279551956) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(0.5053227279551956) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.5053227279551957) q[1];
rx(-0.7762319297276226) q[1];
rz(0.5053227279551956) q[5];
c... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[7], 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] = me... | [
"IIIIIIZZ",
"IIZIIIZI",
"IIZIIIIZ",
"ZIIIIZII",
"IZIIZIII",
"IIIZIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZII",
"IZIIIIII",
"IIIIZIII",
"IIIZIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0,
0,
0,
0,
0
] | 0.724251 | [
0.5053227279551956,
1.1960619307371656,
7.666833720123073e-8,
-0.7762319297276226
] | {
"n_parameters": 4,
"n_qubits": 8,
"optimal_eigenvalue": -1.8333333333333333,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 118 |
f4058862d2cc91e963663e2c69858d5f | 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": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [5, 37], "expectation_value": -3.5353427939993223, "params": [0.16240000000000002, -0.1778, 0.15180000000000002, -0.16820000000000002, 0.39680000000000004, -0.06570000000000001, 0.39880000000000004, -0.0108, 0.1448, 0.097, 0.1394, 0.1776, -0.0005, 0.2044, 0.0009000000000000001, 0.19790000000000002, 0.4036, -... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * Z(2) + -1.0 * Z(0) + -2.0 * Z(5) + -0.5 * Z(6) + -1.0 * Z(1) + -1.5 * Z... | 5 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1101010", "1011010", "0011011"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.08155479116440284) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.08155479116440284) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.08155479116440284) q[3];
cx q[2], q[3];
rz(0.6726318576019645) q[2];
rx(1.4395567190828875) q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IZIIIIZ",
"ZIIIIIZ",
"ZZIIIII",
"IIIIZZI",
"IZIIIZI",
"IIIZZII",
"IZIZIII",
"IIIZIZI",
"IZZIIII",
"IIZZIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-2,
-0.5,
-1,
-1.5,
-0.5
] | 0.857675 | [
-0.08155479116440284,
0.6726318576019644,
1.3685732063111773,
-1.9248268523404324,
1.3279290926971614,
1.4395567190828875,
-0.8198366260050157,
1.279399435917915,
1.24312089196522,
3.1061045586653235,
1.9879305316842095,
0.3855996081973117
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 350 |
-3593770171568213761 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4, 6], [0, 2, 3, 4, 5, 7], [0, 1, 7], [0, 2, 3, 5, 6], [1, 2, 5], [1, 2, 7]]} | {"states": [87, 248], "expectation_value": -0.01201079342807648, "params": [[0.042300000000000004], [-0.0302]], "bitstrings": ["10101000", "00000111"], "total_optimization_steps": 10, "probabilities": [0.003956356973836939, 0.003957033406665486], "optimization_time": 3.3169169425964355} | 0.19999999999999998 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.21666666666666667 * (Z(6) @ Z(3)) + 0.03333333333333333 * (Z(0) @ Z(4)) + 0.08333333333333334 * (Z(0) @ Z(3)) + 0.05 * (Z(0) @ Z(6)) + 0.03333333333333333 * (Z(2) @ Z(4)) + 0.08333333333333334 * (Z(2) @ Z(3)) + 0.05 * (Z(2) @ Z(6)) + 0.083333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.7333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6999999999999997, "smallest_bitstrings": ["00000111"], "largest_eigenvalue": 5.999999999999999} | 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(-0.013031293087228906) q[3];
cx q[4], q[3];
h q[5];
h q[6];
cx q[4], q[6];
rz(0.0037234040563358813) q[6];
cx q[4], q[6];
cx q[3], q[6];
cx q[4], q[0];
rz(0.0416844189338329) q[0];
cx q[4], q[0];
cx q[4], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} | [
"IIIZZIII",
"IZIZIIII",
"IZIIZIII",
"IIIZIIIZ",
"IIIIZIIZ",
"IZIIIIIZ",
"IIIZIZII",
"IIIIZZII",
"IZIIIZII",
"IIIIIZIZ",
"IIZZIIII",
"IIZIZIII",
"IZZIIIII",
"IIZIIIIZ",
"IIZIIZII",
"ZIIZIIII",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIZIIIII",
"IIIIIIZZ",
"IIIIIZZI",
"IIZIIIZ... | [
0.19999999999999998,
0.16666666666666666,
0.21666666666666667,
0.03333333333333333,
0.08333333333333334,
0.05,
0.03333333333333333,
0.08333333333333334,
0.05,
0.08333333333333334,
0.03333333333333333,
0.08333333333333334,
0.05,
0.08333333333333334,
0.25,
0.03333333333333333,
0.033333... | 0.971441 | [
-0.013031293087228906,
0.0037234040563358813,
2.936474714772131,
0.0416844189338329,
-0.043549062367854136,
-0.06624223711219127,
0.019697036740566914,
0.005417153519601946,
1.7004411532942378,
1.5973947901901504,
-1.4877717424250423,
1.6029144384835396,
1.662223835531065,
-1.6603027074359... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -1.7333333333333334,
"target_ratio": 0.97,
"target_value": -1.6813333333333333
} | 108 |
2551666545296015213 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 3, 5], [1, 3, 4, 5], [1, 2, 3, 4], [1, 2, 3, 5], [0, 1, 3, 4], [0, 1, 2]]} | {"states": [29, 53], "expectation_value": -1.481701558884616, "params": null, "bitstrings": ["100010", "001010"], "total_optimization_steps": 26, "probabilities": [0.024464252696535342, 0.9414399204868704], "optimization_time": 26.051640272140503} | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + 0.3333333333333333 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(0)) + 0.3333333333333333 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.4166666666666665, "smallest_bitstrings": ["001010"], "largest_eigenvalue": 6.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-2.9766936577527535e-08) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-2.9766936577527535e-08) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(9.76810295451435e-09) q[3];
cx q[0], q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(9.7681029545143... | 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(1.5298) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"ZIIZII",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"IIIIZZ",
"IIZIZI",
"ZIIIZI",
"IZIZII",
"IZIIIZ",
"IZZIII",
"ZZIIII",
"IZIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
0.25,
0.25,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.25,
0.3333333333333333,
0.25,
0.3333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.25,
0.08333333333333333,
0.25,
0.5416666666666666,
0.41666666666666674,
0.625,
0.375,
... | 0.944444 | [
-2.9766936577527535e-8,
9.76810295451435e-9,
1.5183658985383275e-8,
-5.6428892694132867e-8,
-1.5707962905202686,
1.5707964988326166,
1.57079642491957,
-1.5707962099102246,
-1.570796467578677,
1.5707962597620302
] | {
"n_parameters": 10,
"n_qubits": 6,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 277 |
822068436462374432 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[3, 5], [8, 9], [9, 1], [2, 5], [1, 2], [8, 4], [2, 7], [5, 6], [9, 2], [1, 6], [3, 6], [2, 4], [5, 7], [8, 1], [0, 7], [4, 5], [2, 3], [0, 4], [0, 2], [1, 3], [0, 6], [0, 1], [0, 5], [0, 9]]} | {"states": [305, 309], "expectation_value": -1.3171884199786537, "params": [0.7903, -0.0025, 0.7673, 0.0047, 0.798, 0.0004, 0.7977000000000001, 0.0078000000000000005, 0.7939, 0.00030000000000000003, 0.7658, 0.0045000000000000005, 0.8005, -0.0011, 0.7839, 0.0001, 0.7999, -0.0011, 0.8005, 0.0, 0.806, -0.0033, 0.805, 0.00... | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(6) ... | 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, -5.0, -5.0], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101100101", "1011010010", "1010001010", "1011001010", "1011000010", "0100111101", "1010010010", "1010011010", "0100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.09604793798990591) q[0];
rz(1.8841584665795024) q[0];
rx(2.3858135826097535) q[1];
rz(1.3644951640052856) q[1];
rx(-0.015412786714509893) q[2];
rz(1.7663396925706536) q[2];
rx(1.2278834521941842) q[3];
rz(1.7223440237241672) q[3];
rx(1.6023369959333715) 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": []} | [
"IIIIZIZIII",
"ZZIIIIIIII",
"IIIIIIZIZI",
"ZIIIIIIIZI",
"IZIIIIIIZI",
"IIIIZIIZII",
"IIIIIIZZII",
"ZIIIIIIZII",
"IIIIIIIZZI",
"IIIIZZIIII",
"IZIIIZIIII",
"IIIIIZIZII",
"IIZIZIIIII",
"IIZIIIIZII",
"IIIZZIIIII",
"IIIZIIZIII",
"IIIZIIIIZI",
"IIIIZIIIIZ",
"ZIIIIIIIIZ",
"IIIIIIIIZZ"... | [
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
] | 0.970075 | [
0.09604793798990592,
0.31336213978460586,
2.3858135826097535,
-0.20630116278961047,
-0.015412786714509892,
0.19554336577575707,
1.2278834521941844,
0.15154769692927053,
1.6023369959333715,
1.3562013134730206,
0.057869258214213126,
0.19765191498846757,
0.08063060755521792,
1.374346441232466... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 114 |
0f435eed505f807fb8dc44643dfd43ce | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 2}, {"weight": 13, "source": 0, "target": 3}, {"weight": 17, "source": 1, "target": 2}, {"weight": 11, "source"... | {"states": [62, 61], "expectation_value": -8.147964087704082, "params": [[0.0516], [-0.0608]], "bitstrings": ["1000001", "1000010"], "total_optimization_steps": 10, "probabilities": [0.01219071621157627, 0.01389460182900079], "optimization_time": 2.2363412380218506} | 3.0 * (Z(0) @ Z(1)) + 3.0 * (Z(2) @ Z(1)) + 3.0 * (Z(2) @ Z(0)) + 3.0 * (Z(3) @ Z(1)) + 3.0 * (Z(3) @ Z(0)) + 3.0 * (Z(4) @ Z(0)) + 3.0 * (Z(4) @ Z(2)) + 3.0 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-59.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["1000010"], "largest_eigenvalue": 134.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.366669122515066) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.366669122515066) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.366669122515066) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.366669122515066) q[3];
cx q[0], q[3];
h q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[... | {"matching": "near_perfect", "extra": "{\"n\": 5}"} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
19,
7.5,
12.5,
17.5,
11.5,
12,
9.5
] | 0.608376 | [
0.366669122515066,
0.6186240853904678,
-0.8045916182441789
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 106 |
75e38f85452ebc08ee898a0ac8b18be5 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target"... | {"states": [18, 5], "expectation_value": -0.35121218922489955, "params": [[-0.0876], [0.0804]], "bitstrings": ["01101", "11010"], "total_optimization_steps": 10, "probabilities": [0.03432648313551957, 0.03627702479555961], "optimization_time": 1.317190408706665} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.5 * Z(3) + -1.0 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["11010"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-1.5895904143898432) q[0];
ry(-0.061831462572773416) q[1];
rz(-pi) q[1];
ry(-3.1211665634162276) q[2];
rz(-pi) q[2];
ry(-0.05067198498523348) q[3];
rz(-pi) q[3];
h q[4];
ry(1.4339466124722804) q[4];
cx q[4], q[3];
ry(0.12544642904227837) q[3];
cx q[4], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[1], q[... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1,
-1.5,
-1
] | 0.997795 | [
-1.5895904143898432,
-1.4880487849715875,
-1.3946779127673847,
1.4339466124722804,
-0.25089285808455675,
0.23284724829810097,
0.08137959326879629,
-0.04183215850107143
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
3b37ad6154eb4e67d2d2dbbac7bc63c9 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capac... | {"states": [1022, 1], "expectation_value": -0.29203841812325804, "params": [[-0.05], [0.056100000000000004]], "bitstrings": ["0000000001", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.0011673696222550874, 0.0012087720279339758], "optimization_time": 3.8286044597625732} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + -0.25 * (Z(9) @ Z(1)) + 2.25 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(2)) + -0.25 * (Z(9) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-10.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 13.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.24651892900338027) q[0];
rz(-0.02611339524679801) q[0];
rx(-0.08720750038353253) q[1];
rz(-0.22837279392176768) q[1];
rx(0.06986892087623345) q[2];
rz(-0.28365813621906444) q[2];
rx(-0.023102080197568476) q[3];
rz(-0.28390828318081596) q[3];
rx(0.00482774705185674... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IZIIIIIIIZ",
"IZIIZIIIII",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"ZIIIZIIIII",
"ZZIIIIIIII",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIZIIIIZI",
"IZIZIIIIII"... | [
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
2.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.75,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
1.5,
-0.25,
-1.25,
-0.5,
-0.75,
-1,
0.75,
0.25,
0,
1.25
] | 0.98196 | [
0.24651892900338024,
0.04962451481698661,
-0.08720750038353253,
-0.2686381492775718,
0.06986892087623346,
-0.3252021172121549,
-0.023102080197568473,
-0.3340835897969235,
0.004827747051856748,
-0.20402837193314885,
-0.00013363742941381249,
-0.14083589967920682,
0.024151235776961523,
-0.227... | {
"n_parameters": 84,
"n_qubits": 10,
"optimal_eigenvalue": -10.75,
"target_ratio": 0.97,
"target_value": -10.4275
} | 9 |
8371d10567e2a79675b7c54d9bc2bc4c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 5, "target": 6}, {"source": ... | {"states": [0, 1011], "expectation_value": -8.213612952329457, "params": [-0.5147, 0.7395, 0.3598, 0.8551000000000001, 0.52, 0.786, -0.3934, 0.8508, -0.5078, 0.6337, -0.2306, 0.5555, -0.5087, 0.8013, 0.39840000000000003, 0.8847, -0.5109, 0.9596, 0.397, 1.0514000000000001, -0.5387000000000001, 1.0059, 0.4778, 1.01070000... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(2) @ Z(9)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 1.0 * Z(7) + -1.0 * Z(6) + 0.5 * Z(9) + 0.5 * Z(8) + 0.5 * Z(2) | 6 | 10 | 4 | {"smallest_eigenvalues": [-11.5, -11.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.5, "smallest_bitstrings": ["0000000000", "0000001100"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.3517812042951984) q[0];
cx q[1], q[0];
rz(-0.3462869944370093) q[0];
rx(-0.8875049246396636) q[0];
rz(-0.3462869944370093) q[1];
rx(-0.8875049246396636) q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(-1.144059905202581) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIIZIZIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"ZIIIIIIZII",
"IZIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIZIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIIIIIIZII"
] | [
-1,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5
] | 0.518688 | [
-1.3517812042951984,
-1.144059905202581,
-0.3462869944370094,
-0.6968876121860424,
-0.8875049246396635
] | {
"n_parameters": 5,
"n_qubits": 10,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 157 |
4421c497e819297a0c75498974257550 | 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": 4, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 20, "source": 1, "target": 4}, {"weight": 15, "source": 1, "tar... | {"states": [242, 236], "expectation_value": -10.598928985932353, "params": [[0.0489], [-0.08020000000000001]], "bitstrings": ["100001101", "100010011"], "total_optimization_steps": 10, "probabilities": [0.004614368824717174, 0.004935871038371559], "optimization_time": 1.9953410625457764} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(3)) + 10.0 * Z(1) + 6.5 * Z(0) + 16.5 * ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 146.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.10065772740106636) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.10065772740106636) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.10065772740106636) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(0.10065772740106636) q[2];
cx q[0], q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1],... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIZIIZII",
"IIIZZIIII",
"IIZIZIIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10,
6.5,
16.5,
19,
12,
4.5,
6.5,
9.5,
3.5
] | 0.797639 | [
0.10065772740106636,
-1.7628013311861233,
0.884909477620434,
-1.7245099828185126,
-1.7325881042059148,
-1.725404804168548,
-1.7480658767147619,
1.235349101595457,
1.2765281978103793,
-0.9463188803394292,
1.2890332574700256,
-1.484332673818375,
0.2873659630782772,
-1.4837124399853814,
-0.... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 500 |
890b33471c7b86bf74f86cc67359f862 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [2695, 2693], "expectation_value": -131.00860496740034, "params": [2.9913000000000003, 0.0004, 1.2345000000000002, 0.0015, 2.9923, 0.0048000000000000004, 0.0029000000000000002, 0.002, 2.9997000000000003, 0.0046, 0.002, 0.0046, 0.0029000000000000002, 0.0064, 0.0025, 0.0098, 0.0025, 0.0067, 3.0047, 0.009300000... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(2) @ Z(0)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(4) @ Z(1)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(11) @ Z(1)) + 7.5 * (Z(11) @ Z(4)) + 7.5 * (Z(10) @ Z(0)) + 7.5 * (Z(10) @ Z(2)) + 7.5 * (Z(10) @ Z(11)) + 7.5 * (Z(9) @ Z(11)) + 7.5 * (Z(9) @ Z(10)) + 7.5 * (Z(6) @ Z(9)) + 11.5 * Z(1) + 17.5 * Z(0) ... | 18 | 12 | 1 | {"smallest_eigenvalues": [-150.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -133.0, "smallest_bitstrings": ["010101111010"], "largest_eigenvalue": 227.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(3.113156748924168) q[0];
rz(-0.10250321508963633) q[0];
rx(0.2791520300971977) q[1];
rz(0.1390770277969977) q[1];
rx(3.1491260216837285) q[2];
rz(0.48620641610713977) q[2];
rx(0.16679337671481478) q[3];
rz(0.1466828381920864) q[3];
rx(3.295966333865532) 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, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZZII",
"IIIIIIIZIIZI",
"IIIIIIZZIIII",
"ZIIIIIIIIIZI",
"ZIIIIIIZIIII",
"IZIIIIIIIIIZ",
"IZIIIIIIIZII",
"ZZIIIIIIIIII",
"ZIZIIIIIIIII",
"IZZIIIIIIIII",
"IIZIIZIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIIIZIII",
"IIIIIIIZI... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
11.5,
17.5,
16.5,
-5,
16,
-2.5,
21.5,
19,
17,
-7,
-14,
-11
] | 0.974611 | [
3.113156748924168,
0.15558543565440683,
0.2791520300971977,
0.1390770277969977,
3.1491260216837285,
0.48620641610713977,
0.16679337671481478,
0.1466828381920864,
3.295966333865532,
-0.37466617584849216,
0.29837779230411854,
0.09333954193496526,
0.1694109687189076,
0.09592135428614382,
3.... | {
"n_parameters": 30,
"n_qubits": 12,
"optimal_eigenvalue": -150,
"target_ratio": 0.97,
"target_value": -145.5
} | 11 |
da1b1c85f8e653b867f6f4bdba638afa | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [2793, 3817], "expectation_value": -3.110307624401276, "params": [0.3002, 0.006500000000000001, 0.2992, 0.0008, 0.29410000000000003, -0.0189, 0.29400000000000004, -0.0396, 0.299, 0.0037, 0.3039, 0.0022, 0.09430000000000001, 0.1173, 0.0964, 0.11710000000000001, 0.2979, 0.0007, 0.29700000000000004, -0.00240000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (... | 6 | 12 | 3 | {"smallest_eigenvalues": [-4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -3.125, "smallest_bitstrings": ["010000010110", "010000110001", "000100111000", "001000010110", "100000010110", "000100010110", "010100010010",... | 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] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIIZZZI",
"IIIIIIIIZZZZ",
"IIIIIIIZIIIZ",
"IIIIIIZIIIIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIIZ",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIZIIZI... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0... | 0.97036 | [
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 |
4c20f1c198d9974c2e06b7b7ac531193 | 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": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [254, 127], "expectation_value": -6.991196579376116, "params": [[[0.0013000000000000002, -0.0054], [-0.0002, 0.32380000000000003], [0.0016, 0.0059], [0.0026000000000000003, 0.0029000000000000002], [0.0023, -0.0029000000000000002], [-0.0016, 0.0029000000000000002], [-1.3940000000000001, 0.0025], [0.9883000000... | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + -1.25 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + 0.75 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(6)) + -0.5 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2) + 0.5 * Z(3) + 1.25 ... | 15 | 8 | 3 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["10000000", "10000100"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.22157641917024928) q[0];
ry(0.00898152646378737) q[1];
ry(0.02472649820771007) q[2];
ry(0.05763287371265249) q[3];
ry(0.0036084805931868484) q[4];
ry(-0.04749337088044957) q[5];
ry(1.0911704212811806) q[6];
ry(0.2493891450036926) q[7];
cx q[7], q[0];
cx q[6], q[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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIIZ",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
-0.25,
-1.25,
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
-1.25,
-1,
0.75,
-1.25,
-0.5,
-0.25,
1.5,
0.5,
1.25,
-1,
-1,
-0.5
] | 0.971183 | [
-0.22157641917024928,
0.00898152646378737,
0.02472649820771007,
0.05763287371265249,
0.0036084805931868484,
-0.04749337088044957,
1.0911704212811806,
0.2493891450036926,
-0.9012942735590549,
-0.24745318900433683,
-0.01707069937213386,
-0.08040860354516637,
-0.03283962223876556,
0.089752880... | {
"n_parameters": 58,
"n_qubits": 8,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 51 |
047a6db213ec2347412434e39dcab446 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "so... | {"states": [445, 316], "expectation_value": -4.122845802827293, "params": [[-0.1768], [0.17120000000000002]], "bitstrings": ["11001000010", "11011000011"], "total_optimization_steps": 20, "probabilities": [0.0016021225292473461, 0.0016021225292473466], "optimization_time": 8.208932161331177} | -0.5 * (Z(9) @ Z(2)) + -0.5 * (Z(10) @ Z(2)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @ Z(10)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(9)) + -1.0 * (Z(4) @ Z(10)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(10)) + 0.5 * (Z(5) @ Z(3)) +... | 1 | 11 | 1 | {"smallest_eigenvalues": [-9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332], "number_of_sm... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(-0.7895976344915955) q[0];
h q[1];
ry(-0.7810861968429474) q[1];
h q[2];
h q[3];
ry(1.6087583371568581) q[3];
h q[4];
ry(1.6087583371568581) q[4];
cx q[4], q[1];
ry(0.7810861968429474) q[1];
cx q[4], q[1];
cx q[4], q[0];
ry(0.7895976344915955) q[0];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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]... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IZIIIIIIZII",
"ZIIIIIIIZII",
"ZZIIIIIIIII",
"IIIIIIIZZII",
"IZIIIIIZIII",
"ZIIIIIIZIII",
"IIIIIIZIZII",
"IZIIIIZIIII",
"ZIIIIIZIIII",
"IIIIIIZZIII",
"IIIIIZIIZII",
"IZIIIZIIIII",
"ZIIIIZIIIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIZIIIZII",
"IZIIZIIIIII",
"ZIIIZIIIIII",
"IIIIZIIZI... | [
-0.5,
-0.5,
1,
0.5,
-1,
-1,
0.5,
-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,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
1,
-0.3333333333333333,
1,
-2.5,
-2.5,
2.5,
2.5,
1.5,
1.5,
1.5,
1.5,
-1,
... | 0.97411 | [
1.6087583371568581,
-1.5621723936858949,
-1.579195268983191,
-1.7000663403512135,
1.0380739879293168,
0.7350162679663793,
1.5754527001879863,
-0.7775594481828644,
-1.3800772367519494,
0.28813208000335316,
-0.7211051201233013,
1.3146153603862532,
-0.355182142317478,
-0.2241765857557586,
0... | {
"n_parameters": 54,
"n_qubits": 11,
"optimal_eigenvalue": -9.333333333333332,
"target_ratio": 0.97,
"target_value": -9.053333333333333
} | 5 |
84a8721d06b76517fbc388192f90eb37 | 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": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 0, "target":... | {"states": [271, 267], "expectation_value": -6.533767421361129, "params": [0.0039000000000000003, 0.008400000000000001, 0.7947000000000001, 0.7906000000000001, -0.0034000000000000002, 0.0005, 0.0025, 0.0038, 0.1718, 0.1784, -0.00030000000000000003, 0.0007, 0.8038000000000001, 0.8099000000000001, 0.7786000000000001, 0.7... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) ... | 13 | 10 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -7.5, "smallest_bitstrings": ["0011011110", "0001011111", "1110100101", "1011110100", "1111100001", "1111110000"], "largest_eigenvalue": 23.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.3496877456225878) q[0];
rz(-0.011056406174379807) q[0];
ry(0.31600346954922587) q[1];
ry(-0.08863518794590451) q[2];
ry(-0.16386827581226215) q[3];
ry(0.2207983507667001) q[4];
ry(0.2176541322077755) q[5];
ry(1.684871997585974) q[6];
ry(1.1064634316845563) q[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": []} | [
"IIIIIIZIIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIZIIIZIII",
"IIZIIIIIIZ",
"IZIIIIIIIZ",
"IIIIIIZIZI",
"IIIIZIIIZI",
"IIZIIIIIZI",
"IIIIZIIZII",
"IIZIIIIZII",
"IZIIIIIZII",
"ZIIIIIZIII",
"ZIIIZIIIII",
"ZIIIIIIZII",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIZIZIIII",
"IZIIIZIIII",
"IIIIIIZIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-2,
-2,
-0.5,
-1.5,
-1,
-1,
-1.5,
-1,
-1.5
] | 0.970173 | [
-0.3496877456225878,
0.31600346954922587,
-0.08863518794590451,
-0.16386827581226215,
0.2207983507667001,
0.2176541322077755,
1.684871997585974,
1.1064634316845563,
1.2176152247004057,
1.6281558950994046,
-0.022112812348759614,
0.051903431332814116,
0.39119093455745746,
0.8238801869261173,... | {
"n_parameters": 37,
"n_qubits": 10,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 22 |
4f33ca6452c702b5f14e49e545efa87e | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 3}, {"weight": 17, "source": 1, "target": 7}, {"weight": 1, "source... | {"states": [214, 206], "expectation_value": -27.020078427879596, "params": null, "bitstrings": ["100101001", "100110001"], "total_optimization_steps": 100, "probabilities": [0.03757435520675859, 0.09540185068686778], "optimization_time": 151.75652813911438} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 6.0 * Z(1) + 0.5 * Z(0) + 13.5 * Z(2) + -4.5 * Z(3) + 14.0 * Z(5) + 9.0 * Z(4)... | 1 | 9 | 2 | {"smallest_eigenvalues": [-75.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.5, "smallest_bitstrings": ["100110001"], "largest_eigenvalue": 118.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
ry(64.47801933805745) q[2];
h q[3];
rz(-pi) q[4];
ry(-3.0613848568159012) q[4];
ry(-2.6374764474454917) q[5];
rz(-pi) q[5];
cx q[2], q[5];
ry(2.4920530827832432) q[5];
cx q[2], q[5];
ry(0.06599218173893232) q[2];
cx q[3], q[2];
ry(-0.065992181738... | null | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"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(22.4081) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIZZIIII",
"IIZZIIIII",
"IIZIZIIII",
"IZIIIIZII",
"IZIIZIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
6,
0.5,
13.5,
-4.5,
14,
9,
7,
11.5,
6.5
] | 0.980085 | [
22.408289124972598,
64.47801933805745,
16.54175142416289,
3.372281981104534,
7.870479594986845,
11.082985005261921,
7.917617241889317,
-4.9841061655664864,
0.13198436347786463,
-0.10145905490447968,
0.13306944638627616,
0.04483562188828179,
-0.9892675902138982,
0.05148655101559835,
-0.54... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -75.5,
"target_ratio": 0.97,
"target_value": -73.235
} | 125 |
4c97295c4d10fd438512879e76a3fa94 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 3}, {"weight": 11, "source": 0, "target": 5}, {"weight": 11, "source": 1, "target": 6}, {... | {"states": [126, 118], "expectation_value": -46.212358867967204, "params": [0.3874, -0.5860000000000001, 1.5862, -0.0002, 1.5846, -0.0037, 1.5871000000000002, 0.12010000000000001, 0.7772, 0.3945, 1.5817, 0.0021000000000000003, 1.5915000000000001, -0.2404, 0.37460000000000004, -0.5930000000000001, 0.38470000000000004, 0... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 12.5 * Z(1) + 4.5 * Z(0) + 9.5 * Z(2) + 5.5 * Z(3) + 8.5 * Z(4) + 11.0 * Z(5) ... | 18 | 8 | 2 | {"smallest_eigenvalues": [-52.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 108.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.06705697307695388) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.06705697307695388) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.06705697307695388) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.06705697307695388) q[3];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIZI",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
12.5,
4.5,
9.5,
5.5,
8.5,
11,
10,
3
] | 0.970508 | [
-0.06705697307695388,
-1.0858221740381448,
0.7683541393482292,
-1.037866449491875,
-1.2864236331379229,
0.12089631300890967,
-1.2281342709076082,
-0.5959445715535199,
0.058898953373016205,
0.39104211057759153,
0.11572163969478497,
-0.6202676151810331,
0.42998577073893834,
-0.60274796727804... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -52.5,
"target_ratio": 0.97,
"target_value": -50.925
} | 81 |
7f226d208153dcfb632077c65c1f90bf | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 6}, {"source": 3, "target": 7},... | {"states": [0, 1987], "expectation_value": -13.81094935187613, "params": [0.505, 0.3373, -0.381, 0.0013000000000000002, -0.789, 1.9171, -0.6662, 0.01, -0.9118, 1.1796, 0.2381, 0.006, -0.9553, 0.8926000000000001, 0.6038, 0.0014, -0.9368000000000001, 0.8368, 0.519, 0.001, -0.0025, 0.7343000000000001, 0.0023, 0.0090000000... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(0)) + -2.5 * (Z(7) @ Z(8)) + -2.5 * (Z(5) @ Z(8)) + 1.0 * (Z(5) @ Z(7)) + 1.0 * (Z(6) @ Z(8)) + -2.5 * (Z(6) @ Z(7)) + -2.0 * (Z(6) @ Z(5)) + -1.5 * (Z(9) @ Z(2)) + -2.0 * (Z(10) @ Z(2)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(10)) + ... | 6 | 11 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["00000111100"], "largest_eigenvalue": 21.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.1342171824925862) q[0];
rz(2.0942427452686783) q[0];
rx(0.29543093206360016) q[1];
rz(0.9781141379179479) q[1];
rx(0.8491535880238071) q[2];
rz(-2.6641097231534197) q[2];
rx(-0.16142880578884908) q[3];
rz(2.46801461687833) q[3];
rx(-0.6800787280262504) q[4];
rz(2.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIZZIIIIIII",
"IIZIIZIIIII",
"IIIZIZIIIII",
"IIZIZIIIIII",
"IIIZZIIIIII",
"IIIIZZIIIII",
"IZIIIIIIZII",
"ZIIIIIIIZII",
"ZZIIIIIIIII",
"IIIIIIIZZII",
"ZIIIIIIZIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIZIIII",
"IIZIIIIIIII",
"IIIZIIIII... | [
-1.5,
0.5,
-1.5,
-2.5,
-2.5,
1,
1,
-2.5,
-2,
-1.5,
-2,
0.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
1,
1,
0.5,
0.5,
0.5,
0.5
] | 0.943505 | [
0.13421718249258618,
0.5234464184737817,
0.29543093206360016,
-0.5926821888769487,
0.8491535880238072,
2.0482792572312705,
-0.1614288057888491,
0.8972182900834331,
-0.6800787280262502,
0.8621878928152058,
-0.03794492075220762,
1.2037165229923057,
0.04997363028017292,
-0.5122815041833169,
... | {
"n_parameters": 211,
"n_qubits": 11,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 500 |
6358d823634816a230e720ca61b6d85c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [47, 45], "expectation_value": -1.722556356266588, "params": [0.08560000000000001, 0.0801, 0.0918, 0.0906, 0.5008, 0.5042, -0.0043, 0.0038, 0.498, 0.5007, 0.5005000000000001, 0.4984, 0.3022, 0.3007, 0.5039, 0.5002, 0.07970000000000001, 0.0823, 0.0863, 0.0804, 0.5025000000000001, 0.5039, -0.0044, -0.0004, 0.5... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.25 * (Z(6) @ Z(4)) + 0.25 * (Z(7) @ Z(4)) + 0.25 * (Z(6) @ Z(7)) + -0.25 *... | 14 | 8 | 2 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.25, "smallest_bitstrings": ["01010110", "01010101", "10110001", "10010101", "11010010", "01011100", "10010011"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
rz(-pi) q[1];
ry(-0.02207247324767403) q[1];
ry(-0.09479312576193777) q[2];
rz(-pi) q[2];
h q[3];
ry(1.395276835769105) q[3];
h q[4];
ry(-0.5103294243504136) q[4];
cx q[0], q[4];
ry(0.5103294243504136) q[4];
cx q[0], q[4];
ry(1.026085762953225) q[0];
cx q[3], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIIZZZII",
"IIZIIZII",
"IZIIIZII",
"IZZIIIII",
"IZZIIZII",
"IIZIIIIZ",
"IZIZIIII",
"ZIIZIIII",
"ZZIIIIII",
"ZZIZIIII",
"ZIIIIIZI",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.5,
-0.5,
0,
-0.75,
0,
-0.25,
0,
-0.25
] | 0.993507 | [
-1.5802502340938167,
-1.4139438824013864,
1.395276835769105,
1.4131962305407633,
-1.0206588487008272,
0.7634182874026058,
-0.5775692525371725,
0.5253349511012384,
-0.2922583568376143,
-0.14193191029262187,
0.341857662476968,
-0.049776950304580736,
-0.12411863726314537,
0.09245339788391327,... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
b03b4f369d39855dc91503bf499dc5a0 | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [3705, 3833], "expectation_value": -3.1941089099718143, "params": [[[0.013600000000000001, 0.1391, 0.0021000000000000003, 0.0089], [0.0038, -0.042800000000000005, 1.0502, 0.001], [-0.0281, 0.5764, 0.0653, -0.015000000000000001], [-0.029400000000000003, -0.2651, 1.0982, -0.0171], [1.0901, 0.6016, 1.0857, 0.95... | 0.5 * (Z(0) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(2) @ Z(5)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(6) @ Z(4)) + 0.0625 * (Z(6) @ Z(5)) + -0.0625 * (Z(2) @ Z(3) @ Z(4)) + -0.0625 * (Z(2)... | 11 | 13 | 2 | {"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, -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, -4.0, -4.0], "number_of_smallest_eigenvalues": 34, "first_excited_energy": -3.0, "smallest_bitstrings"... | 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];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
cz q[12], q[11];
cz q[11], q[10];
cz q[10], q[9];
rx(-0.05725128083618839) q[10];
h q[10];
rx(-8.676543112786203e-06) q[11];
h q[11];
rx(-0.07524065655295899) q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIZZII",
"IIIIIIIIZIZII",
"IIIIIIIZIIZII",
"IIIIIIZIIIZII",
"IIIIIIIIZZIII",
"IIIIIIIZIZIII",
"IIIIIIZIIZIII",
"IIIIIIIZZIIII",
"IIIIIIZIZIIII",
"IIIIIIZZIIIII",
"IIIIIIIIZZZII",
"IIIIIIIZIZZII",
"IIIIIIZIIZZII",
"IIIIIIIZZIZII",
"IIIIIIZIZIZII",
"IIIIIIZZIIZ... | [
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.125,
0.125,
0.125,
0.125,
0.... | 0.046875 | [
-0.012959162544976525,
0.000029332238085715517,
0.09018978072976776,
-0.4962246203574187,
-0.220355200692189,
0.1334483097209786,
0.3974597015753095,
-0.6341106447499681,
0.10204652437840878,
0.024358320218039662,
-0.05725128083618839,
-0.000008676543112786203,
-0.07524065655295899,
0.0137... | {
"n_parameters": 35,
"n_qubits": 13,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 500 |
a1d9899df34936ad9ddd849ff23271ff | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 6}, {"source": 3, "target": 7}, {"source": 4, "target":... | {"states": [0, 448], "expectation_value": -28.5959768731294, "params": [0.0545, 0.0033, 0.5065000000000001, 0.0026000000000000003, -1.6352, -0.0, 0.0024000000000000002, 0.0067, 0.0025, 0.0002, -0.0025, 0.0015, 0.0025, 0.0111, 0.0025, 0.006500000000000001, 0.0025, 0.0025, 3.0733, 2.6294, -1.1436, 0.0006000000000000001, ... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -3.5 * (Z(3) @ Z(6)) + 1.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(3)) + -3.5 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(7)) + -3.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(7)) + -2.5 * (Z(5) @ Z(4)) + -3.0 * (Z(8) @ Z(6)) + 0.5... | 4 | 9 | 1 | {"smallest_eigenvalues": [-30.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.0, "smallest_bitstrings": ["000111111"], "largest_eigenvalue": 27.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.05823823742715945) q[0];
rz(1.6025828522996903) q[0];
rx(0.7317190212206771) q[1];
rz(1.7170773086731916) q[1];
rx(-2.047998428539664) q[2];
rz(1.6186589910098306) q[2];
rx(-0.07876358753274516) q[3];
rz(1.6001683092524779) q[3];
rx(-0.013174328217384337) 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[... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIZIIZIII",
"IZZIIIIII",
"IZIIIZIII",
"IIZIZIIII",
"IIIIZZIII",
"IZIIZIIII",
"IIZZIIIII",
"IIIZIZIII",
"IZIZIIIII",
"IIIZZIIII",
"ZIZIIIIII",
"ZIIIIZIII",
"ZZIIIIIII",
"ZIIIZIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
-1.5,
-1.5,
0.5,
-3.5,
1.5,
-2.5,
-3.5,
1,
-3,
-3,
0.5,
1,
-2.5,
-3,
0.5,
0.5,
1,
1,
0.5,
0.5,
0.5,
-3,
1.5,
-3,
-2.5,
-2.5,
-2.5
] | 0.971687 | [
-0.058238237427159445,
0.03178652550479416,
0.7317190212206771,
0.14628098187829564,
-2.047998428539664,
0.047862664214934764,
-0.07876358753274518,
0.02937198245758101,
-0.013174328217384335,
0.00837139669963462,
-0.014090674609166371,
0.0798065247458841,
0.1084983840517107,
0.01406957576... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -30,
"target_ratio": 0.97,
"target_value": -29.099999999999998
} | 4 |
da62bff661bc86873d0aee1ded709754 | 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": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [25, 89], "expectation_value": -4.5318190829412845, "params": [0.0028, 0.6375000000000001, 0.0009000000000000001, 0.6301, 0.4208, 0.14100000000000001, 0.4128, -0.0178, 0.2129, -0.7539, 0.2024, -0.7581, 0.6694, 0.16790000000000002, 0.931, 0.065, 0.7195, -0.0297, 0.9206000000000001, 0.0317, 0.12490000000000001... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + -1.0 * Z(2) + -1.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(6) + -1.0 * Z(1) + 0.0 * Z(3) + 0.0... | 5 | 8 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["00101110", "10100110"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(1.369161440919508) q[0];
ry(0.24950722958511654) q[0];
rz(0.899104490224282) q[0];
rz(1.463108752418747) q[1];
ry(2.8030582427181523) q[1];
rz(-1.5450459325495818) q[1];
rz(1.3979851988314174) q[2];
ry(0.10626081644330947) q[2];
rz(0.23339370272835236) q[2];
rz(-1.66... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIZZIIII",
"IZIIIIIZ",
"IIIIIZZI",
"IIZIIIZI",
"IZIIIIZI",
"IIIIZZII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"IIIIIIZI",
"IIIIZIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-0.5,
-1,
-1,
-1,
0,
0
] | 0.981613 | [
0.1531310707494347,
0.6303485691855849,
0.6910022691513715,
-0.16623671178622054,
-0.008360964568228033,
0.4494027869243768,
0.8199309159376724,
-0.06043918518706215,
0.8180101043064927,
0.09458864812461654,
0.1050201381124832,
-0.6853503169017136,
0.19471287790194716,
0.5360797991290474,
... | {
"n_parameters": 56,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 6 |
4eebe9a8a97a840077f78c3a170e65f1 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3... | {"states": [126, 63], "expectation_value": -6.249992734363122, "params": null, "bitstrings": ["0000001", "1000000"], "total_optimization_steps": 62, "probabilities": [7.986917857680569e-07, 0.9999977902380801], "optimization_time": 76.95313954353333} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.2761211352183031) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.13717878779095488) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(-0.2761211352183031) q[3];
cx q[1], q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(0.13808832036080526) q[5... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5486) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IZIIIIZ",
"IIIIZZI",
"IZIIZII",
"IIIZIZI",
"IZIZIII",
"IIIZZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZZIIIII",
"ZIIIZII",
"IIZIIZI",
"IZZIIII",
"IIZIZII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IIZIIII"
] | [
-0.5,
-0.25,
-0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-0.5,
1,
-0.5,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
0,
-0.25,
0.75,
-0.5,
0,
-0.5,
0.5
] | 0.959466 | [
-0.2761211352183031,
0.13808832036080526,
0.13717878779095488,
-0.2208905765275829,
-0.6091682224936915,
0.12825958314828695,
-0.6660683162981736,
1.4990730486084969,
-0.35178542503829574,
0.3184564914299048,
0.38589115212704433,
-0.5285511882352306,
-0.4855828621421047,
-0.654983086342713... | {
"n_parameters": 29,
"n_qubits": 7,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 500 |
72a8e59921ddbedcfbeaac73650c2f92 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [193, 209], "expectation_value": -5.085737681074326, "params": [0.4057, 0.0012000000000000001, 0.4077, 0.0013000000000000002, 0.4051, 0.0039000000000000003, 0.40890000000000004, 0.0028, -0.0001, 0.2114, -0.0007, 0.2151, 0.3967, 0.10930000000000001, 0.40040000000000003, 0.0001, -0.0123, 0.2087, -0.0151, 0.213... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + -2.0 * Z(4) ... | 7 | 8 | 2 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["00101110"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(0.2942969839608227) q[0];
ry(3.042116501841139) q[0];
rz(-3.0119985727791274) q[0];
rz(0.9606211066417458) q[1];
ry(2.909098549202155) q[1];
rz(-2.286721733670551) q[1];
rz(-1.5383482046339942) q[2];
ry(0.06196515550147688) q[2];
rz(1.9728245400398734) q[2];
rz(2.179... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIZIIIZ",
"IIZZIIII",
"IIZIIIIZ",
"IZIZIIII",
"IZIIIIIZ",
"IZIIIIZI",
"IIIZIZII",
"IZIIIZII",
"IIIZZIII",
"IIZIZIII",
"IIIIZZII",
"ZIZIIIII",
"ZZIIIIII",
"ZIIIIZII",
"IIIZIIII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-1.5,
-2,
0,
-1.5,
-1,
-1
] | 0.980677 | [
0.6819424109301494,
0.16901172135384146,
0.7658633795387204,
-0.051107351602079645,
-0.0007292256303666478,
0.27086824316790215,
0.7164944284652461,
0.1088310461322526,
0.1575693367825124,
-0.11836104767017537,
-0.018644837987264292,
-0.0293082565885896,
0.07384308157988817,
0.001126703348... | {
"n_parameters": 56,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 12 |
05d4b06940bff24c3096bae6afee0602 | 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": [470, 214], "expectation_value": -74.12064796863845, "params": [0.7765000000000001, -0.34640000000000004, 1.4019000000000001, -0.0034000000000000002, 1.3996000000000002, 0.29500000000000004, 0.2235, 0.7977000000000001, 1.3987, 0.0356, -0.0017000000000000001, 0.7588, 1.399, 0.0028, 1.4064, 0.2607, 0.386700000... | 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(6) @ Z(0)) + 6.5 * (Z(8) @ Z(6)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(5) @ Z(7)) + 10.5 * Z(0) + 14.5 * Z(2) + 15.0 * Z(1) + 10.0 * Z(4) + 0.5 * Z(3) + 14.0 * Z(... | 18 | 9 | 2 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.0, "smallest_bitstrings": ["100101001"], "largest_eigenvalue": 148.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.15145605718907926) q[0];
rz(-0.6404124020689101) q[0];
rx(1.6772915991930553) q[1];
rz(0.07656637980830726) q[1];
rx(1.5901790302210095) q[2];
rz(0.3958129052877332) q[2];
rx(-0.0013608358150676014) q[3];
rz(0.5515853316600138) q[3];
rx(1.3604204392481336) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIZIZII",
"IIIIIZIZI",
"IIIIZZIII",
"IIZIIIIIZ",
"ZIZIIIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IZIZIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIZIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
10.5,
14.5,
15,
10,
0.5,
14,
2.5,
13,
-3.5
] | 0.981842 | [
0.15145605718907929,
-0.36789450993838846,
1.6772915991930553,
0.07656637980830726,
1.5901790302210095,
0.3958129052877332,
-0.0013608358150676014,
0.5515853316600138,
1.3604204392481336,
0.03805983219833303,
-0.04008240360510826,
0.5360098534936463,
1.531635679025095,
0.05272602876824334,... | {
"n_parameters": 51,
"n_qubits": 9,
"optimal_eigenvalue": -89,
"target_ratio": 0.97,
"target_value": -86.33
} | 12 |
1c3920daabb0227a05492f21ea1e8a94 | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [74, 42], "expectation_value": -1.146102963669843, "params": [[0.0592, 0.0492, 0.0439, -0.0023], [-0.0531, -0.050800000000000005, -0.0441, -0.0269]], "bitstrings": ["0110101", "1010101"], "total_optimization_steps": 10, "probabilities": [0.013530187250249785, 0.013530187250249803], "optimization_time": 8.049... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(4) + -2.0 * Z(6) + ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0110101", "1010101"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.5795564688231858) q[0];
ry(-1.5059711024702052) q[1];
ry(1.570505380031034) q[2];
ry(-1.3616357907889047) q[3];
ry(1.5026721980248223) q[4];
ry(1.5961719395342326) q[5];
ry(1.5016579103841516) q[6];
ry(1.5347637951145106) q[7];
ry(1.630204037481396) q[8];
ry(1.534... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IIZIIZI",
"IIZIIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"IIZZIII",
"ZIIZIII",
"IIIZZII",
"IZZIIII",
"ZZIIIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII",
"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,
-1,
-1,
-1.5,
-2,
-1,
-1,
-1
] | 0.975323 | [
1.5795564688231858,
-1.5059711024702052,
1.570505380031034,
-1.3616357907889047,
1.5026721980248223,
1.5961719395342326,
1.5016579103841516,
1.5347637951145106,
1.630204037481396,
-1.5565353402477407,
1.5863367616386275,
1.5338426397502967,
1.7375609618880026,
1.8122502012617245,
1.59715... | {
"n_parameters": 18,
"n_qubits": 12,
"optimal_eigenvalue": -3.4375,
"target_ratio": 0.97,
"target_value": -3.334375
} | 25 |
e9e1c3bad7671d416f508c960af260f6 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 3... | {"states": [33, 1], "expectation_value": -7.249999958339817, "params": null, "bitstrings": ["1011110", "1111110"], "total_optimization_steps": 18, "probabilities": [0.4999999958328442, 0.4999999958328442], "optimization_time": 10.906275510787964} | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + 0.25 * Z(4) + -0.25 * Z(0) + 0.0 * Z(5) + -1.0 * Z(2) + 0.25 * Z(1) + -0.5 * Z(3) + 1.25 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.25, "smallest_bitstrings": ["1111110", "1011110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.5744169391312657) q[0];
h q[1];
ry(-0.05753664395928477) q[2];
rz(-pi) q[2];
rz(-pi) q[3];
ry(-0.024728804110098233) q[3];
ry(-0.05753664395928477) q[4];
rz(-pi) q[4];
h q[5];
ry(-1.5744169391312657) q[5];
h q[6];
ry(1.5912199140774594) q[6];
cx q[6], q[3]... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5706) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIZIIIZ",
"IZIIIIZ",
"IIZIZII",
"IZIIZII",
"IIIIZZI",
"IZIZIII",
"IIIZZII",
"ZIZIIII",
"ZIIIIIZ",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII"
] | [
-0.75,
-0.5,
-0.75,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
1.5,
0.25,
-0.25,
0,
-1,
0.25,
-0.5,
1.25
] | 0.999378 | [
1.5912199140774594,
-1.5744169391312657,
-1.485651063635235,
-1.5624441216083338,
-0.06616201859332208,
-0.05521723840075406
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 1 |
894479305bde5e958cd01ff3ac905165 | 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": [876, 364], "expectation_value": -81.89779120673589, "params": [1.5642, 0.0036000000000000003, 2.8055000000000003, 0.0092, 1.3412000000000002, 0.0034000000000000002, 2.8047, 0.009600000000000001, 2.7954000000000003, 0.0026000000000000003, 0.0022, 0.0049, 2.8042000000000002, 0.0019, 2.7996000000000003, 0.0033... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(4) @ Z(0)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(0)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(8) @ Z(6)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(9) @ Z(3)) + 14.0 * Z(1) + 11.0 * Z(0) + 9.0 * ... | 18 | 10 | 1 | {"smallest_eigenvalues": [-106.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -89.5, "smallest_bitstrings": ["1010010011"], "largest_eigenvalue": 177.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.9889838627528722) q[0];
ry(0.909665224921364) q[1];
ry(-0.08210465936374271) q[2];
ry(0.565254920297663) q[3];
ry(0.11992689797337923) q[4];
ry(0.031949164100414595) q[5];
ry(0.09896540394084216) q[6];
ry(0.08136751768430302) q[7];
ry(0.2972766896240451) q[8];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIZZII",
"IIIIIZIIIZ",
"IIIIZZIIII",
"IIIZIIIIIZ",
"IIIZIZIIII",
"IZIZIIIIII",
"IIZIIIIIZI",
"IIZIIIIZII",
"IIZZIIIIII",
"IZZIIIIIII",
"ZIIIIIZIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
14,
11,
9,
9.5,
16.5,
-5,
18.5,
4.5,
18.5,
-3.5
] | 0.970689 | [
0.9889838627528722,
0.909665224921364,
-0.08210465936374271,
0.565254920297663,
0.11992689797337923,
0.031949164100414595,
0.09896540394084216,
0.08136751768430302,
0.2972766896240451,
0.9150247240387824,
0.05918385131629408,
-0.02004470768659521,
0.02683222072814838,
0.2093029953918077,
... | {
"n_parameters": 79,
"n_qubits": 10,
"optimal_eigenvalue": -106.5,
"target_ratio": 0.97,
"target_value": -103.30499999999999
} | 80 |
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