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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
4099935198291791789 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 4, 5], [2, 3, 4, 7, 8], [2, 3, 4, 6, 7], [0, 5, 7], [0, 1, 2, 3, 8], [3, 5], [1, 3, 6], [0, 1, 4, 6, 7], [0, 1, 2, 5, 6], [8, 5, 7], [8, 1, 5]]} | {"states": [476, 222], "expectation_value": -2.8534258793244076, "params": null, "bitstrings": ["000100011", "100100001"], "total_optimization_steps": 51, "probabilities": [0.026418529533513656, 0.9599826213204092], "optimization_time": 134.7808289527893} | 0.18333333333333335 * (Z(0) @ Z(2)) + 0.18333333333333335 * (Z(4) @ Z(2)) + 0.13333333333333333 * (Z(4) @ Z(0)) + 0.13333333333333333 * (Z(5) @ Z(2)) + 0.3 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.15000000000000002 * (Z(3) @ Z(2)) + 0.05 * (Z(3) @ Z(0)) + 0.1 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.1... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.8833333333333324], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.800000000000001, "smallest_bitstrings": ["100100001"], "largest_eigenvalue": 10.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.5121303826260183) q[0];
ry(-2.8083004261376474) q[1];
rz(-pi) q[1];
h q[2];
ry(1.1676866716845615) q[2];
h q[3];
ry(-0.6633215711502551) q[3];
ry(-2.473333228493272) q[4];
rz(-pi) q[4];
h q[5];
ry(1.643586419564859) q[5];
h q[6];
ry(1.324328978255042) q[6]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.544) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZIIIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIZZIII",
"IIIZIZIII",
"IZIIIIZII",
"IZIIIIIIZ",
"IZIIZIIII",
"IZIZIIIII",
"IZIIIZIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"ZIIZIIIII",
"ZIIIIZIII",
"ZZIIIIIII",
"... | [
0.18333333333333335,
0.18333333333333335,
0.13333333333333333,
0.13333333333333333,
0.3,
0.08333333333333333,
0.15000000000000002,
0.05,
0.1,
0.5,
0.1,
0.21666666666666667,
0.15000000000000002,
0.3333333333333333,
0.1,
0.1,
0.05,
0.05,
0.3333333333333333,
0.1,
0.2166666666666... | 0.976884 | [
1.643586419564859,
1.324328978255042,
1.1676866716845615,
-1.3266431423005103,
1.0026977923616704,
0.7448236647066614,
-1.0242607652520366,
0.50093656844707,
-0.40360444672665985,
-0.33302598503014913,
0.4696126139621603,
-0.5924486588099225,
0.35945197425888276,
0.7006621444259346,
-0.4... | {
"n_parameters": 39,
"n_qubits": 9,
"optimal_eigenvalue": -2.8833333333333324,
"target_ratio": 0.97,
"target_value": -2.7968333333333324
} | 1 |
b6f7372eb6abdbb5e68ef049e6cfaa68 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "ta... | {"states": [162, 226], "expectation_value": -4.4833393221158895, "params": [[[0.3986, -0.0018000000000000002], [0.3981, -0.0014], [0.4051, 0.0007], [-0.0181, -0.2139], [-0.0046, 0.1942], [-0.0043, 0.19590000000000002], [0.40280000000000005, -0.0021000000000000003], [0.1574, -0.1345]], [[0.39990000000000003, -0.00170000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + -2.5 * Z(3) + -0.5 * Z(0) + -1.5 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["00110110", "00011101"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(1.3158040020942732) q[0];
ry(2.6132132486532047) q[0];
rz(-1.9738837213906364) q[0];
rz(0.08101163844942061) q[1];
ry(2.8887455217161917) q[1];
rz(-3.088846353299115) q[1];
rz(1.121324952565125) q[2];
ry(2.6731413899223107) q[2];
rz(-2.15837312385551) q[2];
rz(1.5635... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIZIZIII",
"IIZIIIIZ",
"IIIIZIZI",
"IIZIIZII",
"IIIZZIII",
"IIZZIIII",
"IIIZIZII",
"ZIIIZIII",
"ZIIIIZII",
"IZIIZIII",
"IZIZIIII",
"ZZIIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-0.5,
-1.5,
0,
-1,
-1.5,
-1,
-1
] | 0.973393 | [
0.821160693324967,
-0.03127816786210112,
0.7250351423238786,
-0.1639321876064258,
0.7634405064155518,
-0.08895007152030013,
-0.1484787032408186,
-0.07894186651594465,
-0.16305285875171938,
0.012684472190357635,
-0.033987978309456414,
0.3215470040054964,
0.8461259197400077,
-0.1210969259371... | {
"n_parameters": 53,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 17 |
9e14ad1f9402d7c930c6166736d23de7 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "s... | {"states": [0, 1], "expectation_value": -7.207565314708032, "params": [-0.0032, 0.3618, 0.0018000000000000002, 0.45330000000000004, 0.004, 0.44770000000000004, 0.001, 0.45130000000000003, 0.0049, 0.3698, 0.0021000000000000003, 0.4566, 0.0037, 0.43620000000000003, 0.004, 0.44420000000000004, 0.6007, -0.00360000000000000... | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + 1.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * Z(3) + -0.25 * Z(0) + -1.0 * Z(4) + 0.5 * Z(7) + 1.5 ... | 4 | 9 | 3 | {"smallest_eigenvalues": [-9.5, -9.5, -9.5, -9.5, -9.5, -9.5, -9.5, -9.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -8.5, "smallest_bitstrings": ["110110100", "111111110", "100110100", "111111100", "100110000", "110110010", "110110000", "110110110"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.019398678090436997) q[0];
rz(2.084914487441562) q[0];
rx(0.09762454859881467) q[1];
rz(1.9642393875336737) q[1];
rx(0.15349678368786707) q[2];
rz(2.054520407527221) q[2];
rx(0.1508063677983519) q[3];
rz(2.01629317791377) q[3];
rx(-0.20457896895512162) q[4];
rz(1.9... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IIIIZZIII",
"IIIIZIIIZ",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIIIZIZI",
"IZIIIIIZI",
"IIIZIIIZI",
"IIIZIIZII",
"IIZIIIZII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIIIZII",
"IIZIIIIII"
] | [
-0.5,
-0.25,
-0.75,
-0.25,
1.75,
-0.25,
-0.75,
-0.5,
-0.5,
-0.75,
-0.75,
-1,
-0.25,
-1,
0.5,
1.5,
-0.25,
0.75,
0.5,
-0.75
] | 0.973875 | [
-0.019398678090436994,
0.514118160646666,
0.09762454859881467,
0.39344306073877683,
0.15349678368786707,
0.4837240807323244,
0.1508063677983519,
0.44549685111887327,
-0.20457896895512162,
0.3909184559611752,
-0.1069543401062249,
0.5626121896390848,
0.019812075457725918,
0.4101572633914103,... | {
"n_parameters": 74,
"n_qubits": 9,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 6 |
fa1f706b2096c059a84770af5e52a065 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [43605, 21930], "expectation_value": -0.47084366160181435, "params": [[-0.4753], [0.3899]], "bitstrings": ["0101010110101010", "1010101001010101"], "total_optimization_steps": 50, "probabilities": [8.389566732710504e-05, 8.389566732710508e-05], "optimization_time": 19.8054141998291} | 0.25 * (Z(0) @ Z(1)) + -0.0006714876033057851 * (Z(2) @ Z(0)) + -0.0006714876033057851 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0003615702479338844 * (Z(4) @ Z(0)) + -0.0003615702479338844 * (Z(4) @ Z(2)) + -0.0003615702479338844 * (Z(5) @ Z(1)) + -0.0003615702479338844 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.017665289256149], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0176652892561235, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.0102272727271715} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.537679319997315) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.11170090133163334) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.11170090133163334) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-1.537679319997315) q[3];
cx q[2], 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] 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... | {"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,
-0.0006714876033057851,
-0.0006714876033057851,
0.25,
-0.0003615702479338844,
-0.0003615702479338844,
-0.0003615702479338844,
-0.0003615702479338844,
0.25,
-0.0006714876033057851,
-0.0006714876033057851,
-0.0003615702479338844,
-0.0006714876033057851,
-0.0006714876033057851,
-0.000... | 0.972189 | [
-1.537679319997315,
-0.11170090133163334,
0.02149343819428516,
-0.010066821924526306,
-0.021430407288226386,
-0.03420595972462127,
-0.05582898912005432,
-0.10392046003830202,
-0.05996262021562203,
-0.11581319997095718,
0.009364033876355982,
0.04916680027566912,
-0.040245039166685134,
-0.12... | {
"n_parameters": 15,
"n_qubits": 16,
"optimal_eigenvalue": -2.017665289256149,
"target_ratio": 0.97,
"target_value": -1.9571353305784642
} | 25 |
64945dc18f78a33560af97db99744897 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [1263, 1255], "expectation_value": -1.8781421248662078, "params": [1.1931, 1.2011, 0.253, 0.2243, 0.48650000000000004, 0.4732, 1.1999, 1.205, 1.2022000000000002, 1.2005000000000001, 1.1978, 1.1945000000000001, 0.168, 0.1179, 0.8643000000000001, 0.7314, 1.1973, 1.2071, 1.1876, 1.1973, 1.1975, 1.19050000000000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(0) @ Z(8)) + 0.125 * (Z(2) @ Z(7)) + 0.125 * (Z(2) @ Z(8)) + 0.125 * (Z(7) @ Z(8)) + -0.125 * (Z(0) @ Z(2) @ Z(7)) + ... | 14 | 11 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 21, "first_excited_energy": -2.375, "smallest_bitstrings": ["10010100001", "01110100000", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.2783255282545953) q[0];
rz(pi/2) q[0];
ry(0.2098726946505716) q[1];
ry(-0.2971753570411197) q[2];
ry(1.8475869709337933) q[3];
ry(1.2736064911365077) q[4];
ry(1.5300807043468985) q[5];
ry(-0.06522544513086462) q[6];
ry(0.10855046058699067) q[7];
ry(1.7942520048077... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIIZZZII",
"IIIIZZIIIII",
"IIIIIIIIZIZ",
"IIIZIIIIIIZ",
"IIZIIIIIIIZ",
"IIIZIIIIZII",
"IIZIIIIIZII",
"IIZZIIIIIII",
"IIIZIIIIZIZ",
"IIZIIIIIZIZ",
"IIZZIIIIIIZ",
"IIZZIIIIZII",
"IIZZIIIIZIZ",
"IIIZIZIIIII",
"IZIIIZIII... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.1... | 0.976148 | [
1.2783255282545953,
0.2098726946505716,
-0.2971753570411197,
1.8475869709337933,
1.2736064911365077,
1.5300807043468985,
-0.06522544513086462,
0.10855046058699067,
1.79425200480774,
1.6453756548170875,
1.4151041434118912,
1.0145851845776537,
0.9277303499731857,
0.14059789426484096,
1.214... | {
"n_parameters": 43,
"n_qubits": 11,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 62 |
a38675d53d722227ef740a74a5426a27 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [43, 47], "expectation_value": -2.8023886271307576, "params": [[[1.6132, 0.0032], [-0.0105, -0.0029000000000000002], [0.0245, 0.003], [1.3349, -0.1598], [0.0944, -0.0893], [0.8668, 1.5677], [-0.7246, 0.8179000000000001], [-0.2257, 0.793], [-0.6862, 0.7083]], [[1.0652000000000001, 0.0017000000000000001], [0.0... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(7) @ Z(2)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(7) @ Z(6)) + -0.125 * (Z(3) @ Z(6) @ Z(2)) + ... | 15 | 9 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.375, "smallest_bitstrings": ["111010000", "101010001", "101001001", "101100001", "101011000", "101001010", "011010100"], "largest_eigenvalue": 6.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.5141994421129809) q[0];
h q[1];
ry(1.390141942064535) q[1];
h q[2];
ry(-0.5141994421129809) q[2];
h q[3];
cx q[3], q[0];
ry(0.5141994421129809) q[0];
cx q[3], q[0];
ry(-0.6573848412878611) q[0];
ry(1.0688525533137359) q[3];
h q[4];
ry(-1.560193965859156) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIIZZZIII",
"IIZIIIIIZ",
"IIIIIZZII",
"IIZIIIZII",
"IZIIIIZII",
"IIZIIZIII",
"IZIIIZIII",
"IZZIIIIII",
"IIZIIZZII",
"IZIIIZZII",
"IZZIIIZII",
"IZZIIZIII",
"IZZIIZZII",
"IZIIZIIII",
"ZIIIZIIII",
"ZZIIIIIII",
"ZZIIZIIII",
"... | [
0.5,
0.25,
0.25,
0.25,
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0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
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0.25,
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0,
0,
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0
] | 0.99545 | [
-1.560193965859156,
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1.390141942064535,
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0.8351950134156189,
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0.2603514411697678,
-0.015966545811498617,
-0.09901389533504207,
0.1486764616653704,
-0.04676080723319257... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
7716dc89002d46483faea00b4852bdef | 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}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 8},... | {"states": [167, 511], "expectation_value": -19.756428224798213, "params": null, "bitstrings": ["11101011000", "11000000000"], "total_optimization_steps": 100, "probabilities": [0.042291947869339444, 0.25359152158403037], "optimization_time": 383.4491810798645} | 0.5 * (Z(0) @ Z(1)) + -3.5 * (Z(2) @ Z(4)) + -4.5 * (Z(7) @ Z(4)) + -3.5 * (Z(7) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -4.5 * (Z(3) @ Z(7)) + -4.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 1.5 * (Z(5) @ Z(7)) + -4.0 * (Z(5) @ Z(3)) + -4.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(7)) + -3.5 ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-59.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.5, "smallest_bitstrings": ["11000000000"], "largest_eigenvalue": 45.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1538710702363164) q[0];
cx q[1], q[0];
rz(1.633602437549233) q[0];
rx(1.110710579534414) q[0];
rz(1.633602437549233) q[1];
rx(1.110710579534414) q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(0.5247702363647635) q[2];
cx q[4], q[2];... | null | {"node": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] 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];\ncry(1.5708) q[4], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[... | [
"IIIIIIIIIZZ",
"IIIIIIZIZII",
"IIIZIIZIIII",
"IIIZIIIIZII",
"IIIIIIZZIII",
"IIIIIIIZZII",
"IIIZIIIZIII",
"IIIIIZZIIII",
"IIIIIZIIZII",
"IIIZIZIIIII",
"IIIIIZIZIII",
"IIIIZIZIIII",
"IIIIZIIIZII",
"IIIZZIIIIII",
"IIIIZIIZIII",
"IIIIZZIIIII",
"IIZIIIZIIII",
"IIZIIIIIZII",
"IIZZIIIII... | [
0.5,
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-4.5,
-3.5,
2,
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... | 0.532286 | [
0.1538710702363164,
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0.48309366240703333,
0.3565447479517452,
0.4827371326483044,
0.3387537243612188,
0.3212948894321711,
0.5963915301088328,
1.6336024375492328,
1.110710579534414
] | {
"n_parameters": 10,
"n_qubits": 11,
"optimal_eigenvalue": -59.5,
"target_ratio": 0.97,
"target_value": -57.714999999999996
} | 254 |
f65df388240a6bafb6d8e4e3b37bcf6e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [12, 76], "expectation_value": -2.5739872800136228, "params": [1.6346, 0.006200000000000001, 1.4884000000000002, 0.003, 1.4813, 0.0027, 1.7073, 0.0081, 1.6452, 0.0039000000000000003, -0.0018000000000000002, 0.0034000000000000002, 0.0037, 0.0037, 0.009600000000000001, 0.0014, 0.008700000000000001, 0.0047, 0.0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -0.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(4) + -0.5 * Z(2) + -1.5 * Z(6) + -0.5 * Z(3) | 3 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1000111", "1010011", "0100111", "0110011"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(2.7532081731376037) q[0];
rz(0.5021335439547281) q[0];
rx(0.3126188629060858) q[1];
rz(-0.12394458583901447) q[1];
rx(0.08258886198853632) q[2];
rz(-0.2893009783452398) q[2];
rx(2.8985650222769554) q[3];
rz(0.47722660210837153) q[3];
rx(-2.8865335383741417) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IZIIIZI",
"IZIIIIZ",
"IIZIZII",
"ZZIIIII",
"ZIZIIII",
"ZIIIZII",
"IZIZIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIZIIII",
"IIIIZII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1.5,
-0.5,
-0.5,
-1.5,
-0.5
] | 0.974902 | [
2.7532081731376037,
0.4768043004801116,
0.31261886290608576,
-0.13830675618383226,
0.08258886198853632,
-0.4806829037066563,
2.8985650222769554,
0.5468943038080125,
3.3966517688054445,
0.42667847019125166,
0.07043632060439067,
-0.7888121402538777,
0.07867698366803132,
0.8529985987454796,
... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 16 |
d9325feb8a7df3daf05f172adf67b14e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -24.73847825169311, "params": [[[-0.34850000000000003, -0.0342, 0.0019, 0.0007], [-0.1326, 0.0541, -0.1932, 0.12340000000000001], [0.5089, 0.0005, 0.5066, -0.0023], [-0.42400000000000004, 0.1855, 0.4955, 0.0092], [-0.0035, 0.3739, -0.0016, 0.33280000000000004], [-0.003900000000... | -0.75 * (Z(0) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -1.25 * (Z(5) @ Z(4)) + -0.5 * (Z(8) @ Z(1)) + -1.25 * (Z(8) @ Z(0)) + -1.0 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(4)) + -0.5 * (Z(9) @ Z(1)) + -1.25 * (Z(9) @ Z(4)) + -0.5 * (Z(9) ... | 11 | 11 | 4 | {"smallest_eigenvalues": [-29.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.25, "smallest_bitstrings": ["11011111111"], "largest_eigenvalue": 20.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.8207204547941541) q[0];
rz(-0.1668289657348972) q[0];
ry(-0.29390315200806005) q[1];
rz(-0.09931659962986636) q[1];
cx q[1], q[0];
ry(-0.6594606892819919) q[0];
rz(0.1439653309209592) q[0];
ry(-0.01942818610313534) q[1];
rz(-0.14461873641236728) q[1];
ry(1.452803... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIZIIIZI",
"IIIIIZIIIIZ",
"IIIIIZZIIII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIZIIIIZIII",
"IIZIIIZIIII",
"IZIIIIIIIZI",
"IZIIIIZIIII",
"IZZIIIIIIII",
"ZIIIIIIIIZI",
"ZIIIIIZIIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZ... | [
-0.75,
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-1,
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-0.5,
-0.25,
0,
0,
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2.5,
1.5,
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] | 0.970033 | [
-0.8207204547941541,
-0.1668289657348972,
-0.29390315200806005,
-0.09931659962986636,
1.4528033660674342,
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0.5139524669055945,
0.015233330961471097,
0.27897605864648345,
0.05008654727747126,
0.43075314165... | {
"n_parameters": 144,
"n_qubits": 11,
"optimal_eigenvalue": -29.25,
"target_ratio": 0.97,
"target_value": -28.3725
} | 114 |
82b7510e3c4f18f03c81315097910da2 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capaci... | {"states": [32, 31], "expectation_value": -0.610706025924263, "params": [[0.0669, 0.0545], [-0.0732, -0.0477]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.024619261098247667, 0.02531443196520932], "optimization_time": 2.2939765453338623} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(3)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(5) + -0.25 * Z(2) + 0.25 * Z(3) + 0.25 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-6.581916184979591e-07) q[0];
h q[1];
ry(0.6434977519720617) q[1];
h q[2];
ry(0.6434977519720617) q[2];
h q[3];
h q[4];
ry(0.785398270325911) q[4];
cx q[3], q[4];
ry(-0.785398270325911) q[4];
cx q[3], q[4];
ry(0.6154797530425266) q[3];
cx q[4], q[3];
ry(-0.61... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"ZIIIZI",
"ZIIIIZ",
"IIIZZI",
"IIZIZI",
"IIZZII",
"IZIIZI",
"IZIZII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IIZIII",
"IZIIII"
] | [
-0.25,
-0.75,
0.5,
-0.25,
-1,
-0.75,
-1,
-1.25,
-1.5,
0.25,
-0.25,
-0.25,
-0.25,
0.25,
0.25
] | 0.965517 | [
1.570796540651822,
1.2309595060850531,
1.2869955039441234,
-1.5707961133230497,
1.8545964968194282,
-0.39631419127463324,
0.6801154830436662,
1.570796550632477,
-0.0000013163832369959182,
3.5289707979888594e-7,
-1.510291118014996,
1.510290485989974,
1.0482933015393622e-7,
0.205718760898137... | {
"n_parameters": 24,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 500 |
1252345040865625066 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3, 5], [8, 0, 2, 3], [0, 2, 5, 6, 8], [3, 4, 5, 6, 7, 8], [8, 2, 4, 7], [1, 2, 5, 6, 7, 8], [1, 3], [2, 4, 6], [0, 2, 3, 4, 7], [2, 3, 5, 6, 7], [0, 1, 2, 6], [0, 1, 4, 5, 7], [2, 3, 5, 7, 8]]} | {"states": [295, 311], "expectation_value": -0.01804633130953813, "params": [[0.021], [-0.029400000000000003]], "bitstrings": ["011011000", "011001000"], "total_optimization_steps": 10, "probabilities": [0.0019739876402903164, 0.0019740944709709333], "optimization_time": 8.505197525024414} | 0.3 * (Z(0) @ Z(3)) + 0.3 * (Z(5) @ Z(3)) + 0.26666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666669 * (Z(8) @ Z(3)) + 0.13333333333333333 * (Z(8) @ Z(0)) + 0.16666666666666669 * (Z(8) @ Z(5)) + 0.23333333333333334 * (Z(2) @ Z(3)) + 0.26666666666666666 * (Z(2) @ Z(0)) + 0.18333333333333335 * (Z(2) @ Z(5)) + 0.3 * (Z(2... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.0999999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0166666666666675, "smallest_bitstrings": ["011001000"], "largest_eigenvalue": 12.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(9.799308060500057e-07) q[0];
cx q[3], q[0];
h q[4];
h q[5];
cx q[3], q[5];
rz(9.799308060500057e-07) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(-4.799284308849159e-06) q[5];
cx q[0], q[5];
h q[6];
h q[7];
h q[8];
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": []} | [
"IIIIIZIIZ",
"IIIZIZIII",
"IIIZIIIIZ",
"ZIIIIZIII",
"ZIIIIIIIZ",
"ZIIZIIIII",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIZIIZII",
"ZIIIIIZII",
"IIZIIZIII",
"IIZIIIIIZ",
"IIZZIIIII",
"ZIZIIIIII",
"IIZIIIZII",
"IIIIZZIII",
"IIIIZIIIZ",
"IIIZZIIII",
"ZIIIZIIII",
"IIIIZIZII",
"IIZIZIIII",
"... | [
0.3,
0.3,
0.26666666666666666,
0.16666666666666669,
0.13333333333333333,
0.16666666666666669,
0.23333333333333334,
0.26666666666666666,
0.18333333333333335,
0.3,
0.08333333333333334,
0.13333333333333333,
0.16666666666666669,
0.11666666666666667,
0.3833333333333333,
0.08333333333333334,... | 0.946237 | [
9.799308060500057e-7,
-0.000004799284308849159,
0.0000028090714952236455,
9.508570699828785e-7,
4.5558191570234137e-7,
-0.0000062235893315605575,
-0.000003673244437761768,
0.0000013669727673571277,
-0.000003284794299338038,
-1.5130994448484018e-7,
0.0000024032466691488566,
-0.00000197573791376... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -3.0999999999999996,
"target_ratio": 0.97,
"target_value": -3.0069999999999997
} | 500 |
ee0f00774b6823d75df9b3d1e8947ebf | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [4, 36], "expectation_value": -5.258061057686595, "params": [0.0046, 0.19940000000000002, 0.40230000000000005, 0.0001, 0.24230000000000002, 0.0159, 0.3694, -0.010100000000000001, 0.40290000000000004, 0.0001, 0.1076, 0.19060000000000002, 0.0013000000000000002, 0.1973, 0.0089, 0.2006, 0.4056, -0.00060000000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) ... | 4 | 7 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.0, "smallest_bitstrings": ["0111110", "1011011", "1010111", "0011111", "1111001", "1001111"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.1787346229022353) q[0];
rz(1.85169983106438) q[0];
rx(0.6446082778184011) q[1];
rz(1.5337435650242206) q[1];
rx(0.13258855509394268) q[2];
rz(1.742289834858898) q[2];
rx(0.5349338935732003) q[3];
rz(1.4181180172739278) q[3];
rx(0.6230789562836189) q[4];
rz(1.533743... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZIIIIZ",
"IZIZIII",
"IZIIIZI",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"ZIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-2,
-1.5,
-2,
-0.5,
-2
] | 0.972431 | [
0.1787346229022353,
0.28090350426948285,
0.6446082778184011,
-0.037052761770675964,
0.13258855509394268,
0.17149350806400154,
0.5349338935732003,
-0.1526783095209684,
0.6230789562836189,
-0.03478400855838438,
0.05603757244408017,
-0.07156855077521751,
0.19573188402464922,
-0.39890063889249... | {
"n_parameters": 77,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 9 |
ee68f24dce039a4cba3f3c3df952f527 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "source": 4, "target": 3}, {"capaci... | {"states": [27, 31], "expectation_value": -0.062369313172044916, "params": [[0.07050000000000001], [-0.0666]], "bitstrings": ["100100", "100000"], "total_optimization_steps": 10, "probabilities": [0.016951436265273023, 0.017089929489908444], "optimization_time": 1.6724483966827393} | 0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(4) @ Z(5)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * Z(5) + -0.25 * Z(0) + 0.25 * Z(4) + 0.5 * Z(1) + 0.25 * Z(2) + -0.25 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["100000", "100100"], "largest_eigenvalue": 3.25} | 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];
cx q[5], q[0];
rz(1.7187054369255659) q[0];
cx q[5], q[0];
rz(0.09446777047799948) q[0];
rx(-1.466700987803215) q[0];
cx q[5], q[4];
rz(0.01333934725850041) q[4];
cx q[5], q[4];
cx q[4], q[1];
rz(0.01333934725850041) q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[5], q[4];
rz(x1) q[4];
cx q[5], q[4];
cx q[4... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"ZIIIIZ",
"ZZIIII",
"IZIIZI",
"IIIZZI",
"IZZIII",
"ZIIIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"IIZIII"
] | [
0.25,
-0.75,
-0.75,
-0.25,
-0.25,
-0.5,
-0.25,
0.25,
0.5,
0.25,
-0.25
] | 0.744299 | [
1.7187054369255659,
0.01333934725850041,
0.09446777047799972,
-1.1516700085688871,
1.5731593475807684,
-1.4667009878032147
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -2.75,
"target_ratio": 0.97,
"target_value": -2.6675
} | 189 |
725c9b512790b6f65e71b3c284e6ef0c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "target": 5}]} | {"states": [0, 31], "expectation_value": -4.058029322974272, "params": [[[0.0027, 1.6095000000000002], [0.002, -0.003], [0.0021000000000000003, 0.0023], [0.0022, 0.0026000000000000003], [0.0023, -1.0373]]], "bitstrings": ["11111", "00000"], "total_optimization_steps": 160, "probabilities": [0.36252129797494176, 0.39173... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 1.0 * Z(4) + -1.0 * Z(3) | 15 | 5 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["00000", "00011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-1.2092259966300754) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-1.2092259966300754) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.36626893194598403) q[1];
cx q[0], q[1];
rz(-0.3662689319459842) q[0];
rx(-0.8807098386931145) q[0];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[5] c;
qubit[5] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
ry(x3) q[3];
ry(x4) q[4];
cx q[4], q[0];
... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIZIZ",
"IIZZI",
"IIIZZ",
"ZZIII",
"IIZII",
"IIIIZ",
"IIIZI",
"ZIIII",
"IZIII"
] | [
-1.5,
-1.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
1,
-1
] | 0.60193 | [
-1.2092259966300754,
-0.36626893194598403,
0.7796489636954859,
0.4751616547745804,
-0.8807098386931146
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 154 |
a748f2da2700c98e3b57fef1b29c5a5b | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [1020, 1023], "expectation_value": -15.40618151355266, "params": [[[0.0009000000000000001, 1.6998], [-0.0029000000000000002, 0.0008], [-0.0024000000000000002, 0.8679], [0.0021000000000000003, 0.0021000000000000003], [-0.0024000000000000002, 0.002], [-0.0025, -0.0021000000000000003], [-0.0027, -0.0016], [-0.0... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -2.0 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(7)) + -1.0 * (Z(8) @ Z(9)) + -1.0 * Z(1) + 1.0 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(... | 15 | 10 | 1 | {"smallest_eigenvalues": [-19.5, -19.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -18.5, "smallest_bitstrings": ["0000000000", "1100000000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.13434474463766727) q[0];
ry(0.04514134453244986) q[1];
ry(-0.10348894410373284) q[2];
ry(-0.13603164567968565) q[3];
ry(-0.10348894410373284) q[4];
ry(-0.020858194535045928) q[5];
ry(0.03380889313738458) q[6];
ry(0.19149599443985504) q[7];
ry(-0.2259623913990188)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIIZIZIII",
"IIIIZIIZII",
"IIIIZZIIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIZIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII"
] | [
-1.5,
-2,
-2,
-2,
-2,
-2,
-2,
-1,
-1,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970699 | [
-0.13434474463766727,
0.04514134453244986,
-0.10348894410373284,
-0.13603164567968565,
-0.020858194535045928,
0.03380889313738458,
0.19149599443985504,
-0.2259623913990188,
0.07708681214372058,
3.094538471773446,
-0.07339828994543168,
-0.14187370937801355,
0.03836023652465803,
-0.128300943... | {
"n_parameters": 17,
"n_qubits": 10,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 32 |
42431c1c8039d047c82f7ec388df22d2 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -19.973692681660072, "params": [-0.006500000000000001, 0.1236, -0.0081, 0.0806, -0.0005, 0.2325, -0.004, 0.2389, 0.29910000000000003, 0.0026000000000000003, 0.29960000000000003, 0.002, -0.001, 0.2331, -0.005200000000000001, 0.23500000000000001, -0.0033, 0.2429, 0.0008, 0.2396, ... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(8) @ Z(1)) + -1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + -1.5 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.25 * (Z(9) @ Z(1)) + -1.0 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(3)) + -0.5 * (Z(10) @ Z(4)) + -1.0 * (Z(10) @... | 6 | 11 | 3 | {"smallest_eigenvalues": [-20.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.75, "smallest_bitstrings": ["11011111111"], "largest_eigenvalue": 19.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.09389660486124465) q[0];
rz(1.739473683193994) q[0];
rx(0.024550674781491463) q[1];
rz(1.8928395778798697) q[1];
rx(0.7796781262077006) q[2];
rz(1.668648738045957) q[2];
rx(0.026833085724702232) q[3];
rz(1.667476798602407) q[3];
rx(-0.002585750089636761) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIIZZIIII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIZIIZIIIII",
"IIIIIIIZIZI",
"IIIIIIZZIII",
"IZIIIIIIIZI",
"IZIIIIZIIII",
"IZIIIIIZIII",
"ZIIIIIZIIII",
"ZIZIIIIIIII",
"ZIIIIIIZIII",
"ZZIIIIIIIII",
"IIIIIIIIZIZ",
"IIIIIIZIZII",
"IIIIIIIZZ... | [
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-1,
-0.5,
-1.5,
-1,
-1.25,
-1,
-0.25,
-0.5,
-1,
-0.75,
-0.5,
2.25,
-0.75,
-0.5,
-0.25,
-0.75,
-0.25,
-0.25,
-1.25,
-0.75,
-0.75,
-0.25,
-1,
-1,
-1,
-0.5,
-0.75,
-1.75,
-0.25,
2.25,
0.25,
-3.25,
-1.25,
0.5,
... | 0.982284 | [
0.09389660486124467,
0.16867735639909773,
0.024550674781491463,
0.32204325108497317,
0.7796781262077006,
0.09785241125106008,
0.026833085724702235,
0.0966804718075106,
-0.002585750089636761,
0.15967284804835535,
0.049964363057277195,
0.5048930710189773,
-0.030044320599898287,
0.16119538034... | {
"n_parameters": 131,
"n_qubits": 11,
"optimal_eigenvalue": -20.75,
"target_ratio": 0.97,
"target_value": -20.127499999999998
} | 20 |
595e329af9e3da8ab162b0d905a27caa | 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": [938, 682], "expectation_value": -69.27807766425, "params": [0.7912, -0.1019, 0.5115000000000001, -0.2018, 0.795, 0.011600000000000001, 0.49870000000000003, -0.2255, 0.7971, 0.0119, 0.0221, -0.1315, 0.8008000000000001, -0.0115, 0.5147, -0.07, 0.8064, -0.0033, 0.1521, 0.0233, 0.7911, 0.12300000000000001, 0.42... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(2) @ Z(0)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(6) @ Z(1)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(9) @ Z(8)) + 9.5 * Z(1) + 9.5 * Z(0) + 15.5 * Z(2) + 3.5 * Z(3) + 10.0 * Z(4) + -5.5 * Z(5) + 10.0 * Z(6) + 4.0 *... | 4 | 10 | 3 | {"smallest_eigenvalues": [-106.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.5, "smallest_bitstrings": ["0101010101"], "largest_eigenvalue": 131.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.7159070509015004) q[0];
rz(1.3181620315231903) q[0];
rx(0.29800748752098094) q[1];
rz(1.1720994755363936) q[1];
rx(1.018436438738549) q[2];
rz(1.5297771986905744) q[2];
rx(-0.06442447287481304) q[3];
rz(0.9273746003019436) q[3];
rx(0.9907078733065282) q[4];
rz(1.6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIZIIIIZI",
"IIZZIIIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII"... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
9.5,
9.5,
15.5,
3.5,
10,
-5.5,
10,
4,
6.5,
-6.5
] | 0.970942 | [
0.7159070509015004,
-0.2526342952717063,
0.29800748752098094,
-0.3986968512585028,
1.018436438738549,
-0.04101912810432274,
-0.06442447287481304,
-0.6434217264929534,
0.990707873306528,
0.05730064766250481,
0.10512022174852903,
-0.17385331946366211,
1.141322792440871,
-0.2520586572933201,
... | {
"n_parameters": 87,
"n_qubits": 10,
"optimal_eigenvalue": -106.5,
"target_ratio": 0.97,
"target_value": -103.30499999999999
} | 26 |
641715d728359ee981d7a3543c5c30a4 | 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": 8}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 5}, {"capac... | {"states": [473, 479], "expectation_value": -8.095544987249697, "params": null, "bitstrings": ["1000100110", "1000100000"], "total_optimization_steps": 100, "probabilities": [0.11844915954348492, 0.7189000469742136], "optimization_time": 241.09880423545837} | -0.5 * (Z(0) @ Z(8)) + -0.75 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(8)) + -1.25 * (Z(5) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(2)) + 0.75 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(2)) + -0.5 * (Z(9) @ Z(5)) + -0.75 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.25, "smallest_bitstrings": ["1000000000", "1000100000"], "largest_eigenvalue": 9.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.23303156752093054) q[0];
ry(0.041623128237904844) q[1];
ry(0.03109179038798683) q[2];
ry(0.013307819052873884) q[3];
ry(-0.07247950085337407) q[4];
ry(0.0880123982979336) q[5];
ry(0.07224784941901886) q[6];
ry(-0.001686252040885152) q[7];
ry(-0.9967155638341587) ... | 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... | [
"IZIIIIIIIZ",
"IIIIIIIZZI",
"IZIIZIIIII",
"IIIIZIIIZI",
"IIIIIIZZII",
"IIIIIZIZII",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"ZIIIZIIIII",
"IZZIIIIIII",
"IIZIIIIZII",
"IIZIIIIIZI",
"IIZIZIIIII",
"IIZIIIZIII",
"IIZIIZIIII",
"IIIZIIZIII",
"ZIIZIIIIII",
"IZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIZII"... | [
-0.5,
-0.75,
-0.5,
-1.25,
-0.5,
-0.5,
0.75,
-0.25,
-0.5,
-0.75,
-0.25,
-0.25,
-0.75,
-0.5,
-0.75,
-0.5,
-0.5,
0.25,
-0.25,
0.25,
0.75,
0.5,
-0.5,
-1.25,
-0.5,
-0.25,
1
] | 0.971421 | [
-0.23303156752093054,
0.041623128237904844,
0.03109179038798683,
0.013307819052873884,
-0.07247950085337407,
0.0880123982979336,
0.07224784941901886,
-0.001686252040885152,
-0.9967155638341587,
0.11941505612111912,
0.2850209726338214,
-0.020392237316460664,
-0.03304656930069785,
0.02534555... | {
"n_parameters": 65,
"n_qubits": 10,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 58 |
206b6c7126e1a43a7c0a57973e02662d | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 6... | {"states": [119, 183], "expectation_value": -0.289680864633849, "params": [[-0.059800000000000006], [0.0695]], "bitstrings": ["110001000", "101001000"], "total_optimization_steps": 10, "probabilities": [0.002192868746322314, 0.002192868746322314], "optimization_time": 2.3488075733184814} | -0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(8)) + 0.5 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000100", "101001000", "110001000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.7716469204925558) q[0];
h q[1];
ry(-0.419743548754394) q[1];
h q[2];
cx q[2], q[1];
ry(0.419743548754394) q[1];
cx q[2], q[1];
ry(-0.3394805577791961) q[1];
ry(1.0930006028280734) q[2];
h q[3];
ry(1.59285799405076) q[3];
rz(-pi) q[4];
ry(-3.136526372442517... | 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[5];
rz(x0) q[5];
cx q[1], q[5];
cx q[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIIZI",
"IIIIIIZZI",
"IIIZIIZII",
"IIIIZZIII",
"IIIZIIIIZ",
"IZIZIIIII",
"IZIIIIIIZ",
"ZIIZIIIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIZZIIIII",
"IIZIIIIIZ",
"IZZIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IZIIIIIII",
"... | [
-0.5,
0.5,
-0.5,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
0.5,
1,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
-1,
0.5,
1,
1.5,
0,
1.5,
1.5,
-0.5
] | 0.979066 | [
1.59285799405076,
1.5261005232355722,
-1.5432938409851116,
-1.35113857066744,
0.770395955888187,
-0.4800519968211978,
0.6181638241406239,
-0.17087313757605851,
-0.839487097508788,
0.8636913290500219,
-0.6789611155583922,
0.4586185475561028,
-0.41596033641871777,
-0.0189624931872691,
0.18... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 1 |
ff905c184a5c02768359b41c58764c92 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 0, "target":... | {"states": [20, 532], "expectation_value": -9.951744537654134, "params": [[0.7991, 0.0013000000000000002, 0.0199, 0.0506, 0.5752, 0.8006000000000001, 0.001, 0.8078000000000001, 0.7321000000000001, 0.1927], [0.7928000000000001, 0.0013000000000000002, -0.0286, -0.0495, 0.7984, 0.8032, 0.0016, 0.8056000000000001, 0.6992, ... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-11.5, -11.5, -11.5, -11.5, -11.5, -11.5, -11.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -10.5, "smallest_bitstrings": ["0011111011", "0111001111", "1111100011", "1111001101", "1100111110", "0111101011", "1111101001"], "largest_eigenvalue": 35.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.5256079782600032) q[0];
ry(0.1346712605214569) q[1];
ry(-0.14925212892047116) q[2];
ry(-0.08517016273327449) q[3];
ry(0.14129258690941088) q[4];
ry(1.7310023732784325) q[5];
ry(-0.02336510454206634) q[6];
ry(1.7824538758974555) q[7];
ry(0.3037179046217234) q[8];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIZIIIZII",
"IIIZIIIIIZ",
"IIIZIIZIII",
"IZIIIIIZII",
"IZIIIIIIIZ",
"IZIIIIZIII",
"IZIZIIIIII",
"ZIIIIIIIIZ",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIZIIIIZI",
"IZIIIIIIZI",
"ZIIIIIIIZI",
"IIIIIZZIII",
"IIIZIZIIII",
"ZIIIIZIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-2,
-2.5,
-3,
-2.5,
-2.5,
-3,
-2,
-1,
-1
] | 0.972994 | [
1.5256079782600032,
0.1346712605214569,
-0.14925212892047116,
-0.08517016273327449,
0.14129258690941088,
1.7310023732784325,
-0.02336510454206634,
1.7824538758974555,
0.3037179046217234,
-0.3460487327092834,
1.2674101014891517,
0.1879020518506116,
0.05812189332788692,
0.6186987335583732,
... | {
"n_parameters": 19,
"n_qubits": 10,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 16 |
6126051132876227276 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3, 4, 6, 7], [0, 1, 4, 7], [1, 3, 5], [2, 3, 4, 5], [1, 2, 3, 4, 6, 7], [0, 1, 3], [0, 1, 5, 6, 7]]} | {"states": [159, 238], "expectation_value": -0.9438303927990779, "params": [[-0.3831], [0.3786]], "bitstrings": ["01100000", "00010001"], "total_optimization_steps": 40, "probabilities": [0.010217507440549731, 0.010599764119774485], "optimization_time": 2.126978874206543} | 0.03333333333333333 * (Z(0) @ Z(2)) + 0.15 * (Z(3) @ Z(2)) + 0.19999999999999998 * (Z(3) @ Z(0)) + 0.15 * (Z(4) @ Z(2)) + 0.11666666666666667 * (Z(4) @ Z(0)) + 0.15 * (Z(4) @ Z(3)) + 0.06666666666666667 * (Z(6) @ Z(2)) + 0.08333333333333334 * (Z(6) @ Z(0)) + 0.06666666666666667 * (Z(6) @ Z(3)) + 0.06666666666666667 * (... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.766666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7333333333333338, "smallest_bitstrings": ["00010001"], "largest_eigenvalue": 6.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.012243655499375186) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-0.04095239774358688) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.05995602121770674) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(-0.04095239774358688) q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IIIZIZII",
"IIIZIIIZ",
"IIIZZIII",
"IZIIIZII",
"IZIIIIIZ",
"IZIIZIII",
"IZIZIIII",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZIZI",
"IIIZIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IIZIIZII",
"IIZIIII... | [
0.03333333333333333,
0.15,
0.19999999999999998,
0.15,
0.11666666666666667,
0.15,
0.06666666666666667,
0.08333333333333334,
0.06666666666666667,
0.06666666666666667,
0.06666666666666667,
0.16666666666666669,
0.06666666666666667,
0.15,
0.11666666666666667,
0.03333333333333333,
0.3,
0... | 0.970162 | [
0.012243655499375186,
-0.04095239774358688,
0.05995602121770674,
0.05398240378567904,
0.0169995180747853,
-0.00464176268582908,
-0.01944249794633486,
0.07144555324709816,
-3.0621070635297314,
0.0675707481135451,
-0.011639844053011848,
-0.004627057010032555,
0.019998032404672204,
1.61029604... | {
"n_parameters": 21,
"n_qubits": 8,
"optimal_eigenvalue": -1.766666666666667,
"target_ratio": 0.97,
"target_value": -1.713666666666667
} | 234 |
7c7664cb9cb13a35da50c3201e32fb16 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [97, 14], "expectation_value": -0.17479838036809792, "params": [[0.0753], [-0.0825]], "bitstrings": ["0011110", "1110001"], "total_optimization_steps": 10, "probabilities": [0.009109871695531284, 0.009109871695531287], "optimization_time": 1.327427625656128} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(5) + -0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.5, "smallest_bitstrings": ["1001110", "1101001", "0011110", "1001011", "1110001"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.03443378752785541) q[0];
rz(-0.13110126421031687) q[0];
rx(0.1780229093399017) q[1];
rz(-0.1841110151175016) q[1];
rx(0.3258424952178776) q[2];
rz(0.019690802414419117) q[2];
rx(-0.1573527638739795) q[3];
rz(-0.15564052018377517) q[3];
rx(0.41048682556123217) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIIIZ",
"IIIZIZI",
"IZIIIZI",
"ZIZIIII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.983075 | [
-0.03443378752785541,
-0.07317377189750467,
0.1780229093399017,
-0.1000308368391451,
0.3258424952178776,
-0.025638991230291522,
-0.1573527638739795,
-0.2109726450679203,
0.4104868255612321,
-0.02896349377971935,
-0.10942550014263858,
0.023168782610153135,
0.146783244140875,
0.2167996115517... | {
"n_parameters": 135,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 11 |
ea6f28b1d52734982303edc3e4a649bb | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, ... | {"states": [38, 43], "expectation_value": -0.1559062028694874, "params": [[-0.07], [0.0654]], "bitstrings": ["1011001", "1010100"], "total_optimization_steps": 10, "probabilities": [0.008756051881411674, 0.008772297239524482], "optimization_time": 1.2828459739685059} | 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(3) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(4) + -0.5 * Z(5) + 0.0 * Z(3) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["1010100"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.010579390403300512) q[0];
rz(0.5032633397346796) q[0];
ry(-0.16775742047494524) q[1];
rz(0.4239821625260418) q[1];
cx q[1], q[0];
ry(0.08641991018112673) q[0];
rz(0.8114268101915858) q[0];
ry(0.11118927672779633) q[1];
rz(-0.5652374082435947) q[1];
ry(0.30165731961... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[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]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIIZ",
"IZIIIIZ",
"IZIIZII",
"IIZZIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IZIIIII",
"IIIZIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1,
-1,
-0.5,
0,
0
] | 0.970089 | [
0.010579390403300512,
0.5032633397346796,
-0.16775742047494524,
0.4239821625260418,
0.30165731961222375,
-0.16334054591635155,
-0.08287043178903097,
-0.6586726372166358,
0.30175015715223785,
0.9393288219767209,
0.1699036987785315,
-0.04037235258249219,
-0.14445755865650717,
0.4806517596819... | {
"n_parameters": 55,
"n_qubits": 8,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 29 |
-5401784996309083631 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4], [0, 3, 6], [1, 2, 6], [4, 6], [1, 5], [0, 2, 3], [2, 4], [3, 5]]} | {"states": [83, 57], "expectation_value": -0.09235168672249927, "params": [[-0.0829], [0.07980000000000001]], "bitstrings": ["0101100", "1000110"], "total_optimization_steps": 10, "probabilities": [0.008763853988332354, 0.00897251340991221], "optimization_time": 2.562849998474121} | 0.5 * (Z(3) @ Z(4)) + 0.3333333333333333 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2)... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000110"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(-0.1726447191770152) q[3];
cx q[4], q[3];
cx q[3], q[0];
rz(-0.8871180643529339) q[0];
cx q[3], q[0];
h q[5];
h q[6];
cx q[4], q[6];
rz(-0.1726447191770152) q[6];
cx q[4], q[6];
cx q[3], q[6];
cx q[4], q[2];
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;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[3], q[0];
rz(x1) q[0];
cx q[3], q[0];
cx q[4], q[6];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIZZIII",
"IIIZIIZ",
"ZIZIIII",
"ZIIZIII",
"ZIIIIIZ",
"ZIIIIZI",
"IIZIZII",
"IIIZZII",
"IIIIZIZ",
"ZIIIZII",
"IIIIZZI",
"IZIZIII",
"IZIIIZI",
"IIZIIII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII"
] | [
0.5,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0,
0.33333333333333326,
0.3333333333333333,
0.33333333333333326,
0.16666666666666663,
0.... | 0.509787 | [
-0.1726447191770152,
-0.8871180643529339,
-0.09428747066629924,
1.489449176934493,
1.2740027362684456
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -3.166666666666666,
"target_ratio": 0.97,
"target_value": -3.071666666666666
} | 186 |
1a4362188b6951d8767035d8d38385f1 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [100, 19], "expectation_value": -0.15236866405449778, "params": [[-0.010400000000000001, -0.031400000000000004, -0.036000000000000004, 0.010700000000000001], [-0.020800000000000003, 0.0164, 0.0378, 0.0061]], "bitstrings": ["0011011", "1101100"], "total_optimization_steps": 10, "probabilities": [0.00859798655... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(3) + -1.0 * Z(0) + -0.5 * Z(5) + -1.0 * Z(6) + 0.0 * Z(1) + -0.5 * Z(2) + -1.0 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["0011011", "1101100", "1001101", "1011001", "0001111"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.12422553524644124) q[0];
cx q[3], q[0];
h q[4];
h q[5];
cx q[3], q[5];
rz(-0.12422553524644124) q[5];
cx q[3], q[5];
cx q[0], q[5];
cx q[3], q[2];
rz(-0.12422553524644124) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(-0.124... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IZIZIII",
"IZIIIIZ",
"ZIIIIIZ",
"ZIIIIZI",
"IIIZZII",
"IIZZIII",
"ZIZIIII",
"IIZIZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-0.5,
-1,
0,
-0.5,
-1
] | 0.971459 | [
-0.12422553524644124,
1.0955689621565339,
1.0287718033480338,
-1.036892713484576,
-0.5552627842854686,
0.8878467301251858,
0.2644854273734193,
0.008214563098826413,
0.4014394529078914,
-0.32039970371211435,
0.2044707146182576,
-0.402957759830861,
0.4611208468758937,
0.37871111682101216,
... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 44 |
501477738601b9a56009fb34d8274268 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 4}, {"capaci... | {"states": [32, 31], "expectation_value": -0.31103045370685223, "params": [[0.0737], [-0.0688]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.018497670015536316, 0.018738874118571617], "optimization_time": 1.3271520137786865} | -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]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"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 |
3816890346353333803 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 5], [3, 4], [2, 6], [4, 5], [0, 6], [1, 3]]} | {"states": [13, 11], "expectation_value": -0.1519990564115459, "params": [0.6989000000000001, -0.0921, 0.6672, 0.0, 0.6989000000000001, -0.0877, 0.681, 0.009600000000000001, 0.6912, -0.0766, 0.6666000000000001, 0.0051, 0.7004, 0.052700000000000004, 0.6971, 0.0044, 0.7023, 0.0092, 0.6950000000000001, 0.0023, 0.703000000... | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 6 | 7 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -1.0, "smallest_bitstrings": ["1110110", "1110100", "1110010", "0001101", "0001011", "0001001", "0100011", "0100101", "0100111", "1011100", "1011000", "1011010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.11946290938922188) q[0];
rz(1.4305415835615989) q[0];
rx(0.11946290938922188) q[1];
rz(1.7022797650002914) q[1];
rx(-0.03387570142757738) q[2];
rz(2.1178733613156897) q[2];
rx(3.104593767706998) q[3];
rz(1.4434390583007204) q[3];
rx(1.668742436381537) q[4];
rz(1.57... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IZIZIII",
"IZZIIII",
"IIZZIII",
"ZIIIZII",
"ZIIIIIZ",
"IIIZIZI",
"IZIIIII",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.971368 | [
0.11946290938922188,
-0.14025474323329767,
0.131483438205395,
-0.03387570142757737,
0.5470770345207931,
3.104593767706998,
-0.12735726849417672,
1.6687424363815369,
0.0013401616447158704,
0.34729561392901503,
0.14684603506337474,
1.0864241133634187,
0.11680855490484605,
-0.2085120972291135... | {
"n_parameters": 34,
"n_qubits": 7,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 53 |
b870bf177a3da6a6ab4722ca2196f1d4 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [5495, 4855], "expectation_value": -0.5623801134807527, "params": [[1.5839, -0.0028, 0.1223, 0.003, -1.119, -0.0016, 0.5836, 1.5673000000000001, 0.0036000000000000003, 0.0092, 0.1577, -1.5703, -1.5735000000000001], [0.0049, -0.1301, 0.002, 0.7764000000000001, -1.5266000000000002, 0.0005, 0.0137, 0.0232000000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(2) @ Z(8)) + 0.0625 * (Z(5) @ Z(6)) + 0.0625 * (Z(5) @ Z(7)) + 0.0625 * (Z(5) @ Z(8)) + 0.0625 * (Z(6) @ Z(7)) ... | 9 | 13 | 4 | {"smallest_eigenvalues": [-3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.9... | 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(0.13979582898122853) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.13979582898122853) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(0.13979582898122853) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(0.1397958... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IIIIIIIIZZIII",
"IIIIIIIIZZZII",
"IIIIIIIZIIZII",
"IIIIIIZIIIZII",
"IIIIIZIIIIZII",
"IIIIZIIIIIZII",
"IIIIIIZZIIIII",
"IIIIIZIZIIIII",
"IIIIZIIZIIIII",
"IIIIIZZIIIIII",
"IIIIZIZIIIIII",
"IIIIZZIIIIIII",
"IIIIIIZZIIZII",
"IIIIIZIZIIZ... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.25,... | 0.970674 | [
0.13979582898122853,
0.5451974851045387,
0.896311297188517,
-0.7414798324997988,
0.5352231120965443,
0.15835998395847423,
0.19561446837986352,
-0.10248641959100045,
1.145938659979391,
0.49965126800794935,
-0.9225964103626579,
0.7782952451572615,
1.5157746098993041,
1.5283742643698681
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 51 |
04943d12be9331cc9245456617bb8845 | max_flow | 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": 3}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 3, "source": 3, "target": 2}, {"capaci... | {"states": [490, 491], "expectation_value": -29.658565273510575, "params": [0.0025, 0.0025, 0.0024000000000000002, 0.0024000000000000002, 0.0004, 0.0043, 0.003, 0.0026000000000000003, 1.5947, 1.5429000000000002, 1.5275, 1.6174000000000002, 1.1313, 0.9091, 1.4801, 1.6558000000000002, 0.5790000000000001, 0.5627, 1.506600... | -1.0 * (Z(10) @ Z(3)) + -2.0 * (Z(11) @ Z(3)) + 2.0 * (Z(11) @ Z(10)) + 2.0 * (Z(4) @ Z(5)) + -1.0 * (Z(0) @ Z(5)) + -0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(10)) + -1.0 * (Z(6) @ Z(11)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + 1.0 * (Z(7) @ Z(3)) + -1.0 * (Z(7) @ Z(10))... | 14 | 13 | 1 | {"smallest_eigenvalues": [-30.5, -30.5, -30.5, -30.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -30.25, "smallest_bitstrings": ["1111000010100", "1110001000001", "1110000010000", "1111001000101"], "largest_eigenvalue": 79.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(2.756448642387936) q[4];
rz(-pi) q[5];
ry(-1.4071951647766399) q[5];
h q[6];
ry(1.5747373492012693) q[6];
cx q[6], q[5];
ry(0.47977392536284186) q[5];
cx q[6], q[5];
ry(-0.018776860890256552) q[5];
cx q[0], q[5];
ry(0.01877686... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIIIIIZIII",
"IZIIIIIIIZIII",
"IZZIIIIIIIIII",
"IIIIIIIZZIIII",
"IIIIIIIZIIIIZ",
"IIIIIIIIZIIIZ",
"IIIIIIZIIZIII",
"IIZIIIZIIIIII",
"IZIIIIZIIIIII",
"IIIIIIZZIIIII",
"IIIIIIZIZIIII",
"IIIIIIZIIIIIZ",
"IIIIIZIIIZIII",
"IIZIIZIIIIIII",
"IZIIIZIIIIIII",
"IIIIIZIZIIIII",
"IIIIIZIIZII... | [
-1,
-2,
2,
2,
-1,
-0.5,
0.5,
-0.5,
-1,
1,
0.5,
-0.5,
1,
-1,
-2,
2,
1,
-1,
2,
1,
0.5,
-0.5,
0.5,
1,
2,
1,
-1,
1,
2,
1,
-0.5,
0.5,
1,
-0.5,
-1,
-0.25,
-1,
1,
2,
11,
5.5,
-4.125,
4,
8,
4,
8,
0,
-0.75,
-0.375
] | 0.971122 | [
-2.4982175662086945,
-1.2959791973212518,
10.693477959740283,
2.756448642387936,
1.5747373492012693,
-0.9595478507256837,
-0.037553721780513104,
-0.09233073908691143,
0.3924196282534974,
0.01592015931431091,
0.17530178727681012,
-0.09689234899048765,
0.07372477176280937,
0.0220347731740424... | {
"n_parameters": 84,
"n_qubits": 13,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 96 |
2a895515d0a8eaf1b57b7d486fef5b85 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [17, 3], "expectation_value": -15.468707862531442, "params": [[0.0563, -0.009000000000000001, -0.025500000000000002, -0.0629], [-0.0811, -0.0453, -0.0329, 0.0152]], "bitstrings": ["1101110", "1111100"], "total_optimization_steps": 10, "probabilities": [0.018025774373185047, 0.01888650019443774], "optimizatio... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + 2... | 10 | 7 | 4 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-2.096327820170651) q[0];
ry(0.2537083493680447) q[0];
rz(1.570436671091425) q[0];
rz(1.191244473143085) q[1];
ry(0.2008107508654874) q[1];
rz(-1.6963430441543206) q[1];
rz(-1.9118469528459408) q[2];
ry(0.1477573005102168) q[2];
rz(1.5833415908168567) q[2];
rz(2.2786... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
2.75,
2.75,
3,
2.75,
2.75,
3,
3,
3,
-10,
-10.25,
-10.25,
-10.25,
-10.25,
-9.5,
-9.5
] | 0.972257 | [
-0.08028563510993815,
-0.21555986132396174,
0.078732077463361,
-0.21601939328285985,
-0.010214764130119527,
-0.03172665130023722,
0.30548255601708946,
0.07708210515096893,
0.3715827281252511,
0.6916802821102456,
0.19367370790422986,
0.9804975452195692,
-0.10497639850611308,
0.0456723136684... | {
"n_parameters": 37,
"n_qubits": 7,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 8 |
90ed954541db23a75eecb07977c28089 | 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": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": ... | {"states": [3791, 3887], "expectation_value": -0.19204476540863058, "params": [[-0.0613, -0.0776], [0.0728, 0.0781]], "bitstrings": ["000100110000", "000011010000"], "total_optimization_steps": 10, "probabilities": [0.0003820435100159137, 0.00038204351001591393], "optimization_time": 30.451156616210938} | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 1 | 12 | 2 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.8125, "smallest_bitstrings": ["010001000001", "000011010000", "100000000110", "001000101000", "100000001001", "000100110000", "001001000100", "010000100010"]... | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIZIIZI",
"IIIIIIIIZZII",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIZIIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIZIZIZ",
"IIIIIIIZZIIZ",
"IIIIIIIIZZZI",
"IIIIIIIZI... | [
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.1... | 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 |
e4a226e8b47e410613442e23f8d1d8a0 | 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": [474, 218], "expectation_value": -63.480278387112584, "params": [0.7616, -0.5091, 1.5795000000000001, -0.0245, 1.5807, 0.0217, -0.0028, 1.1727, 1.5841, 0.0022, 1.5786, 0.3376, 0.4424, 0.6462, 1.58, 0.3634, 0.4141, 0.7051000000000001, 0.764, 0.0033, 1.5683, 0.0001, 1.5873000000000002, 0.0041, -0.0028, 0.00450... | 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(5) @ Z(0)) + 6.0 * (Z(6) @ Z(1)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(8) @ Z(2)) + 6.0 * (Z(7) @ Z(0)) + 6.0 * (Z(7) @ Z(5)) + 6.0 * (Z(7) @ Z(8)) + 16.0 * Z(0) + 14.0 * Z(2) + 11.5 * Z(1) + -4.0 * Z(3) + 4.0 * Z(4) + 12.5 * Z(... | 18 | 9 | 2 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 142.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.3175374675020913) q[0];
rz(-0.7762442305140498) q[0];
rx(1.445132102149259) q[1];
rz(0.007211601494638731) q[1];
rx(1.6754296473031067) q[2];
rz(-0.09738029330732281) q[2];
rx(0.0831734977736485) q[3];
rz(1.1821357001907207) q[3];
rx(1.2516767206794057) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIZZIII",
"IIIZIIIIZ",
"IIZIIIIZI",
"IIZZIIIII",
"ZIIIIIZII",
"IZIIIIIIZ",
"IZIZIIIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
16,
14,
11.5,
-4,
4,
12.5,
5,
5,
12
] | 0.97097 | [
0.31753746750209133,
-0.5186408127449189,
1.445132102149259,
0.007211601494638731,
1.6754296473031067,
-0.09738029330732281,
0.0831734977736485,
1.1821357001907207,
1.2516767206794057,
0.02016330550143102,
1.3080165023495833,
0.31091293592517727,
-0.030225000888412117,
0.7171792722765691,
... | {
"n_parameters": 52,
"n_qubits": 9,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 12 |
0686ebfaf2d735ee052e8608249c2a67 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1178, 1166], "expectation_value": -119.05353752895434, "params": [[[1.5234, 0.0015], [0.24550000000000002, -0.0014], [0.0134, 0.0015], [0.9994000000000001, 0.0059], [0.12190000000000001, 0.0019], [-0.0022, -0.0043], [0.5374, 1.2352], [1.3486, 0.49260000000000004], [0.06720000000000001, 0.43370000000000003],... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(6) @ Z(3)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(8) @ Z(0)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(9) @ Z(6)) + 7.0 * (Z(9) @ Z(7)) + 7.0 * (Z(9) @ Z(8)) + 7.0 * (Z(2) @ Z(9)) + 7.0 * (Z(10) @ Z(7)) + -4.5 * Z(1) + 8.0 * Z(0) + -6.0 * Z(4) + 9.0 * Z(3) + 1... | 15 | 11 | 3 | {"smallest_eigenvalues": [-123.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -114.5, "smallest_bitstrings": ["01101110001"], "largest_eigenvalue": 170.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.5325718876796657) q[0];
ry(0.12991353755450916) q[1];
ry(0.017029810832440456) q[2];
ry(1.3320607453595008) q[3];
ry(0.22395342254263942) q[4];
ry(0.004490666742872594) q[5];
ry(0.4931777219866749) q[6];
ry(1.3921200641181757) q[7];
ry(0.09155514167237862) q[8];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZZIII",
"IIIIZIIZIII",
"IIIZZIIIIII",
"IIZIIIIIIIZ",
"IIZIZIIIIII",
"IIZZIIIIIII",
"IZIIZIIIIII",
"IZIZIIIIIII",
"IZZIIIIIIII",
"IZIIIIIIZII",
"ZIIZIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIIZIIIIII",
"IIIZIIIIIII",
"IIZIIIIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
-4.5,
8,
-6,
9,
16,
20,
20.5,
20.5,
-5.5,
-4.5,
-13
] | 0.97012 | [
1.5325718876796657,
0.12991353755450916,
0.017029810832440456,
1.3320607453595008,
0.22395342254263942,
0.004490666742872594,
0.4931777219866749,
1.3921200641181757,
0.09155514167237862,
0.0017524169941143253,
0.3405421282896947,
0.11017452026610469,
0.09254017387038888,
0.0760898906217384... | {
"n_parameters": 64,
"n_qubits": 11,
"optimal_eigenvalue": -123.5,
"target_ratio": 0.97,
"target_value": -119.795
} | 40 |
-641285898737926161 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3], [3, 5], [0, 6], [2, 5, 7], [0, 7], [4, 5, 6, 7], [2, 4, 6, 7], [3, 4, 7], [3, 6, 7], [2, 5, 6], [0, 1]]} | {"states": [103, 115], "expectation_value": -3.8811694092975912, "params": null, "bitstrings": ["10011000", "10001100"], "total_optimization_steps": 42, "probabilities": [0.007295940961612971, 0.9789037423577803], "optimization_time": 54.43044447898865} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(2) @ Z(5)) + 0.25 * (Z(2) @ Z(6)) + 0.3333333333333333 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.25 * (Z(7) @ Z(5)) + 0.3333333333333333 * (Z(7) @ Z(6)) + 0.25 * (Z(7) @... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.9166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.4166666666666665, "smallest_bitstrings": ["10001100"], "largest_eigenvalue": 8.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.700177194815371) q[0];
ry(-3.1217412446352855) q[1];
rz(-pi) q[1];
h q[2];
ry(0.5168417580583784) q[2];
h q[3];
ry(0.6484848731251882) q[3];
h q[4];
ry(-0.46016504205588526) q[4];
h q[5];
ry(-0.6468120495763439) q[5];
h q[6];
ry(1.5779247539569012) q[6];
h... | 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(1.5486) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIZIIZ",
"IIZIZIII",
"IZIIZIII",
"IZIIIIIZ",
"IZZIIIII",
"IIZIIZII",
"IZIIIZII",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIZIIIII",
"ZZIIIIII",
"ZIIIIZII",
"IIIZZIII",
"IIZZIIII",
"IZIZIIII",
"IIIZIZII",
"ZIIZIIII",
"IIIIIIZZ",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"IIIIIZI... | [
0.5,
0.5,
0.16666666666666666,
0.5,
0.25,
0.3333333333333333,
0.25,
0.3333333333333333,
0.5,
0.25,
0.3333333333333333,
0.25,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.3333333333333333,
0.5,
0.33333333333333326,
0,
0.4583333333333332... | 0.987118 | [
1.525022124680365,
-1.400354389630742,
1.5779247539569012,
1.3949392950755197,
1.2969697462503764,
-1.2936240991526877,
1.0336835161167568,
-0.22418769643161163,
-0.9203300841117705,
0.05071780236473575,
0.4086563061889523,
-0.4534028979947344,
-0.10608082229967347,
0.31201124552973825,
... | {
"n_parameters": 25,
"n_qubits": 8,
"optimal_eigenvalue": -3.9166666666666665,
"target_ratio": 0.97,
"target_value": -3.7991666666666664
} | 1 |
be7e2cb61602e2e9b2101189bb676973 | 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": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capac... | {"states": [511, 479], "expectation_value": -16.278268113354386, "params": [[[0.0056, 0.0039000000000000003], [-0.0019, 0.0026000000000000003], [-0.002, -0.0028], [-0.0021000000000000003, -0.0026000000000000003], [0.8604, -0.0025], [-0.0024000000000000002, 0.0012000000000000001], [0.0005, -0.0028], [-0.0037, -0.0017000... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -1.0 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(2)) + -0.25 * (Z(8) @ Z(4)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(8... | 15 | 10 | 2 | {"smallest_eigenvalues": [-16.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.75, "smallest_bitstrings": ["1000100000"], "largest_eigenvalue": 12.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.393808986005866) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.393808986005866) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.21762855179405002) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.5789097935492629) q[3];
cx q[1], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IIIZIIIIIZ",
"IIIZIZIIII",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIZIIZIII",
"IZIIIIIIZI",
"IZIIIIIZII",
"IZIIIZIIII",
"IZIZIIIIII",
"IZIIIIZIII",
"IIIIZIIZII",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIIZIZIII",
"ZIIIIIIIIZ",
"ZIIIIIIZII"... | [
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
-0.25,
-1,
-0.75,
-0.25,
-1,
-0.75,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-1,
-0.5,
2,
-0.75,
-0.75,
-0.75,
-0.5,
-0.75,
-0.75,
-1,
-0.5,
-1,
-0.5,
-0.25,
-0.25,
-0.25,
-1.25,
0,
0.5,
0.75,
0.5,
-1.25,
1.5
] | 0.465704 | [
-0.393808986005866,
-0.21762855179405002,
-0.420273716133752,
-0.5789097935492629,
0.6353545988654291,
-0.614667344806954,
-0.04122487701570831,
0.11308869142835831,
0.12934103164207297,
0.35391712738102515,
-0.9529131195112988
] | {
"n_parameters": 11,
"n_qubits": 10,
"optimal_eigenvalue": -16.75,
"target_ratio": 0.97,
"target_value": -16.2475
} | 253 |
ffad3b964ead217a06cbfc18be3f05e0 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 3}, {"weight": 19, "source": 0, "target": 6}, {"weight": 11, "source": 1, "tar... | {"states": [492, 236], "expectation_value": -58.490087257863685, "params": [0.48360000000000003, 0.3145, 0.9934000000000001, 0.0048000000000000004, 1.0001, -0.0054, 1.0005, 0.13340000000000002, 0.3739, 0.3759, 1.0002, 0.0054, 0.9959, 0.1897, 0.33280000000000004, 0.4002, 0.1439, -0.4253, 0.4807, 0.29500000000000004, 0.9... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(3)) + 10.0 * Z(1) + 7.5 * Z(0) + 14.0 * Z(2) + 5.5 * Z(3) + 5.... | 18 | 9 | 3 | {"smallest_eigenvalues": [-70.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 121.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.0557124833227797e-08) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.0557124833227797e-08) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-1.0557124833227797e-08) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-1.0557124833227797e-08) q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10,
7.5,
14,
5.5,
5.5,
11,
10,
3,
0.5
] | 0.771429 | [
-1.0557124833227797e-8,
-1.5707963643738432,
1.5707963617189826,
-1.570796307281642,
-1.5707963861865957,
-1.570796298809207,
1.570796328010783,
1.5707964018973435,
1.570796323776294
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -70,
"target_ratio": 0.97,
"target_value": -67.89999999999999
} | 263 |
fcf2c33f7d587d64646e80e90c95dfee | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target":... | {"states": [192, 320], "expectation_value": -15.252295385324441, "params": [[[-0.07640000000000001, -0.1981, 0.0047, 0.0085], [-0.0148, 0.38520000000000004, 0.3665, 0.126], [0.1227, 0.192, 0.1449, -0.08310000000000001], [1.4098000000000002, 0.032, 0.099, 0.3647], [-0.0058000000000000005, 1.0154, 0.010400000000000001, 0... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(9) @ Z(0)) + -0.25 * (Z(10) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -1.25 * (Z(4) @ Z(7)) + -1.25 * (Z(4) @ Z(3)) + -1.0 * (Z(8) @ Z(1)) + -1.25 * (Z(8) @ Z(7)) + -1.0 * (Z(8) @ Z(9)) + -0.5 * (Z(8) @ Z(4)) + -0.25 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(9)) + -0.5 * (Z(5)... | 11 | 11 | 3 | {"smallest_eigenvalues": [-18.75, -18.75, -18.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -16.75, "smallest_bitstrings": ["11000111111", "11011111111", "11010111111"], "largest_eigenvalue": 21.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.07997515220163702) q[0];
rz(-0.5240106629928647) q[0];
rx(0.056098993824155126) q[1];
rz(-0.1300352245700216) q[1];
rx(0.7207245663043277) q[2];
rz(0.04711302789848704) q[2];
rx(-0.06255874142819845) q[3];
rz(-0.134615797483427) q[3];
rx(0.11025687642026274) 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": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIZIIIIIIZ",
"IZIIIIIIIIZ",
"ZIIIIIIIIIZ",
"IIIIIIIZIZI",
"IIIZIIZIIII",
"IIIIIIZZIII",
"IIZIIIIIIZI",
"IIZZIIIIIII",
"IZZIIIIIIII",
"IIZIIIZIIII",
"IIIIIZIIIZI",
"IZIIIZIIIII",
"IIZIIZIIIII",
"IIIZZIIIIII",
"IZIIZIIIIII",
"ZIIIZIIIIII",
"IIZIZIIIIII",
"IIIIIIIIZ... | [
-0.5,
-0.5,
-0.75,
-0.25,
-0.25,
-1.25,
-1.25,
-1,
-1.25,
-1,
-0.5,
-0.25,
-1.25,
-0.5,
-0.25,
-1,
-1.25,
-0.5,
2.25,
-0.5,
-2,
-0.25,
-0.25,
2,
-1,
-1,
3,
-2.75,
-0.5,
1,
1.75
] | 0.978761 | [
-0.079975152201637,
-0.4587981013848431,
0.056098993824155126,
-0.20234621043056017,
0.7207245663043278,
0.0212831908075181,
-0.06255874142819845,
-0.20966835227810124,
0.11025687642026274,
-0.053914910586284615,
0.03329985975685941,
-0.4841922701438507,
0.003182298651089552,
-0.3810766663... | {
"n_parameters": 94,
"n_qubits": 11,
"optimal_eigenvalue": -18.75,
"target_ratio": 0.97,
"target_value": -18.1875
} | 7 |
605742faa50c2e92c07356e058fd303f | 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": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [36, 20], "expectation_value": -3.4116331538123674, "params": null, "bitstrings": ["011011", "101011"], "total_optimization_steps": 17, "probabilities": [0.06012628465746276, 0.7888204776973939], "optimization_time": 9.996788024902344} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(4) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["101011", "100111", "101110", "011011", "111001", "011110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.2519734558329277) q[0];
rz(0.3651187390109438) q[0];
rx(0.549123536582348) q[1];
rz(0.1729633947430669) q[1];
rx(0.43121785023168274) q[2];
rz(-0.3977475527083846) q[2];
rx(0.7480155259603805) q[3];
rz(0.11334574533755185) q[3];
rx(0.9524074886463487) q[4];
rz(0.0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZZII",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
-1.5,
-0.5,
-1
] | 0.973344 | [
-0.25197345583292763,
0.2954298013317361,
0.549123536582348,
0.1729633947430669,
0.43121785023168274,
-0.3977475527083846,
0.7480155259603805,
0.11334574533755185,
0.9524074886463487,
0.09007031560592105,
-0.034370920448749724,
0.1359556355151768,
0.6730941809643614,
0.021375644081781026,
... | {
"n_parameters": 106,
"n_qubits": 9,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 14 |
05a2057eb1abf699c2e603e40944153f | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "... | {"states": [1020, 1023], "expectation_value": -18.940856264365117, "params": null, "bitstrings": ["110000000011", "110000000000"], "total_optimization_steps": 100, "probabilities": [0.08776882329935393, 0.4465136190268906], "optimization_time": 216.13789081573486} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + -2.0 * (Z(10) @ Z(8)) + -2.0 * (Z(11) @ Z(9)) + -2.0 * (Z(11) @ Z(8)) + -2.0 * (Z(11) @ Z(10)) + -1.0 * Z(1) + -1.... | 1 | 12 | 1 | {"smallest_eigenvalues": [-25.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["110000000000"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.0930080098220504) q[0];
cx q[1], q[0];
rz(1.5713830925079062) q[0];
rx(1.560285253500013) q[0];
rz(1.5713830925079062) q[1];
rx(1.560285253500013) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.0930080098220504) q[2];
cx q[3], q[2];
h q... | null | {"node": 0} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(1.5706) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measu... | [
"IIIIIIIIIIZZ",
"IIIIIIIIZZII",
"IIIIIIIZZIII",
"IIIIIIIZIZII",
"IIIIIZZIIIII",
"IIIIZZIIIIII",
"IIIIZIZIIIII",
"IIZZIIIIIIII",
"IZZIIIIIIIII",
"IZIZIIIIIIII",
"ZIZIIIIIIIII",
"ZIIZIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIZIII",
"IIIIIIIIIZII",
"IIIIIIIZI... | [
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
0.5,
-1.5,
-2,
-2,
-2,
-2,
-2,
-2,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.730632 | [
-0.0930080098220504,
-1.299299577481566,
0.00144321472074733,
1.5713830925079058,
1.5602852535000131
] | {
"n_parameters": 5,
"n_qubits": 12,
"optimal_eigenvalue": -25.5,
"target_ratio": 0.97,
"target_value": -24.735
} | 187 |
cdb6f0e37a2c62fd687dde8f27516d0e | 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": [471, 214], "expectation_value": -56.08105353259893, "params": [[[1.5735000000000001, -0.9371], [3.2814, 0.9490000000000001], [-1.6317000000000002, 0.5787], [0.1274, 0.5657], [1.5735000000000001, 1.5732000000000002], [1.5737, 1.5738], [1.5734000000000001, 1.5677], [1.5687, -1.5727], [1.568, -1.5686]]], "bits... | 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(4) @ Z(0)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(8) @ Z(7)) + 11.0 * Z(0) + 10.0 * Z(2) + 13.0 * Z(1) + 16.0 * Z(4) + 7.0 * Z(6) + 7.0 * Z(5) + 3.0 * Z(7) + -6.0 * Z(8) + -10.5 * Z(3) | 15 | 9 | 1 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["100101001"], "largest_eigenvalue": 136.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.55889070091186) q[0];
ry(4.737170769207089) q[1];
ry(-1.6585917768690348) q[2];
ry(1.58366740950697) q[3];
ry(1.55889070091186) q[4];
ry(1.6070971628103021) q[5];
ry(1.4417746317276277) q[6];
ry(1.636157605279951) q[7];
ry(1.4439836462438786) q[8];
cx q[8], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"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",
"IIIIZIIIZ",
"IIZIZIIII",
"IIIZIIIZI",
"IIIZZIIII",
"IIZZIIIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIZIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
11,
10,
13,
16,
7,
7,
3,
-6,
-10.5
] | 0.972179 | [
1.55889070091186,
4.737170769207089,
-1.6585917768690348,
1.58366740950697,
1.6070971628103021,
1.4417746317276277,
1.636157605279951,
1.4439836462438786,
-1.539475080836863,
1.499612036675997,
1.5761386168864973,
1.5653909581409682,
1.5498931249191865,
1.725574525143864,
1.3715527469554... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 55 |
4855955b7e62afdd3d4763c1ba092163 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "... | {"states": [4095, 31], "expectation_value": -33.53398585001971, "params": [[[0.0024000000000000002, 0.006900000000000001], [-0.0023, 0.0077], [-0.0025, 0.0097], [-0.0025, 0.009300000000000001], [-0.0024000000000000002, 0.0076], [-0.0023, 0.0025], [1.5845, 0.0053], [-0.0024000000000000002, 0.0039000000000000003], [-0.00... | -2.5 * (Z(0) @ Z(5)) + 1.0 * (Z(1) @ Z(5)) + -3.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(0)) + -3.5 * (Z(2) @ Z(1)) + -3.0 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(1)) + 1.5 * (Z(3) @ Z(2)) + -3.0 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 1.5 * (Z(4) @ Z(1)) + -3.5 * (Z(4) @ Z(2)) + -3.0 * (Z(4) @ Z(3)) + 0.5 ... | 2 | 12 | 1 | {"smallest_eigenvalues": [-36.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -35.0, "smallest_bitstrings": ["111111100000"], "largest_eigenvalue": 51.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.1547146702207494) q[0];
rz(0.03306342387996825) q[0];
rx(0.03462227897461727) q[1];
rz(-0.22413704097113543) q[1];
rx(0.09306527703109682) q[2];
rz(-0.2947676981012369) q[2];
rx(0.09306527703109682) q[3];
rz(-0.26103194194263546) q[3];
rx(-0.020971266228314474) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIZ",
"IIIIIIZIIIZI",
"IIIIIIZIIZII",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIZIZIII",
"IIIIIIIIZIIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIZZIIII",
"IIIIIIIZIIIZ",
"IIIIIIIZIIZI",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIZZIIIII",
"IIIIIZIIIIZI",
"IIIIIZIIIZII",
"IIIIIZIZI... | [
-2.5,
1,
-3.5,
0.5,
-3.5,
-3,
0.5,
-3,
1.5,
-3,
0.5,
1.5,
-3.5,
-3,
0.5,
1,
-3,
1,
-2.5,
1,
-2,
-2.5,
-2,
-2,
-2,
0.5,
0.5,
1,
0.5,
-2.5,
2,
1.5,
-3,
-2,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.97238 | [
0.1547146702207494,
0.03306342387996825,
0.03462227897461727,
-0.22413704097113543,
0.09306527703109682,
-0.2947676981012369,
-0.26103194194263546,
-0.020971266228314474,
-0.07842753069771978,
0.049003025419615556,
2.3071168535445663,
-0.20040846053190148,
0.12669794622659042,
-0.117411818... | {
"n_parameters": 17,
"n_qubits": 12,
"optimal_eigenvalue": -36,
"target_ratio": 0.97,
"target_value": -34.92
} | 6 |
92c565ed8fed8ca60a141e6f389a7855 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 6}, {"weight": 20, "source": 1, "target": 3}, {"weight": 10, "source": 2, "tar... | {"states": [250, 218], "expectation_value": -14.469765341209664, "params": [[-0.029900000000000003, -0.015300000000000001, -0.022000000000000002], [0.042, 0.0303, 0.047]], "bitstrings": ["100000101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.005721953475319657, 0.0065692411932477745], "optimizat... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 18.5 * Z(1) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 163.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.024724623627202902) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.024724623627202902) q[2];
cx q[0], q[2];
rz(2.126197205216754) q[0];
rx(1.105196404331105) q[0];
h q[3];
cx q[2], q[3];
rz(-0.024724623627202902) q[3];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"IZIIIIIZI",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
18.5,
2.5,
14.5,
9.5,
9.5,
20.5,
15,
-1,
11
] | 0.9195 | [
-0.024724623627202902,
-0.9213010578715495,
2.1261972052167537,
-0.9816480528719546,
-0.7269887864035431,
-1.0420248708289332,
-1.003832488574156,
1.0955085012024581,
1.484744269018895,
1.105196404331105,
0.27098302896974236,
-1.1647690331256695,
-1.0531885418454594,
-0.698873653246916,
... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -83,
"target_ratio": 0.97,
"target_value": -80.50999999999999
} | 500 |
3032900268526080703 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 4], [3, 5], [0, 1], [1, 6], [3, 7], [2, 4], [3, 4], [1, 7], [4, 6], [0, 5], [2, 7], [1, 3], [1, 2], [5, 6], [0, 7]]} | {"states": [77, 178], "expectation_value": -0.13339396136748627, "params": [[-0.06520000000000001], [0.07]], "bitstrings": ["10110010", "01001101"], "total_optimization_steps": 10, "probabilities": [0.004727125690683255, 0.004727125690683255], "optimization_time": 2.364311695098877} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["01001101", "10110010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[1];
rz(-0.5111356393913317) q[1];
cx q[4], q[1];
cx q[4], q[3];
rz(-0.5111356393913317) q[3];
cx q[4], q[3];
cx q[1], q[3];
rz(-0.5111356393913317) q[3];
cx q[1], q[3];
cx q[1], q[0];
rz(-0.5111356393913317) q[0];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[3]... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZI",
"IIIZZIII",
"IIIIZIZI",
"IIZIZIII",
"IIIIIIZZ",
"IIZIIIIZ",
"IZIZIIII",
"IZIIIIZI",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIIIIIZ",
"IIIZIZII",
"IIIIIZZI",
"ZIIIIZII",
"IIIZIIII",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZI... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.356304 | [
-0.5111356393913317,
2.0500764337575505e-8,
0.672600721569824
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 95 |
bd53e0f03f0d19af6cb39bf47cf396d2 | 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": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [53, 61], "expectation_value": -9.499999960416321, "params": null, "bitstrings": ["1001010", "1000010"], "total_optimization_steps": 47, "probabilities": [0.49999999583450017, 0.49999999583450017], "optimization_time": 44.61289310455322} | -0.75 * (Z(0) @ Z(5)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(4)) + -1.0 * (Z(3) @ Z(5)) + -2.5 * Z(5) + -0.25 * Z(0) + -0.75 * Z(6) + 1.5 * Z(1) + -0.25 * Z(4) + 1.25 * Z(2) + 1.0 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["1001010", "1000010"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.7043656534273358) q[0];
h q[1];
ry(1.535989113406412) q[1];
h q[2];
ry(0.7877722373943765) q[2];
h q[3];
h q[4];
ry(0.7877722373943765) q[4];
cx q[1], q[4];
ry(-0.7877722373943765) q[4];
cx q[1], q[4];
cx q[1], q[0];
cx q[4], q[2];
ry(0.7043656534273358) q... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IZIIIIZ",
"ZIIIIIZ",
"ZIIIIZI",
"IIZIIZI",
"IZIIZII",
"ZIIIZII",
"IIZIZII",
"IZIZIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIZIIII",
"IIIIZII",
"IIIZIII"
] | [
-0.75,
1,
-0.5,
-1.5,
-0.75,
-1.25,
-0.75,
-1,
-2.5,
-0.25,
-0.75,
1.5,
-0.25,
1.25,
1
] | 0.998945 | [
-1.629771341725018,
1.535989113406412,
1.575544474788753,
-1.4087313068546716,
-0.1237302936379537,
-0.020395894215535604
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 1 |
-4634167463228555245 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 2, 3, 4, 6, 7, 8, 11], [1, 6, 7, 8, 9, 10], [0, 1, 3, 4, 7, 11], [0, 2, 4, 8, 9, 10], [0, 9, 10, 6], [3, 11, 5], [0, 1, 2, 4, 5, 7, 10, 11], [3, 4, 5, 6, 7], [0, 1, 3, 4, 6, 8], [0, 2, 3, 6, 9, 11], [0, 1, 2, 6, 8], [1, 4, 5, 7, 8, 10], [3, 4, 5, 8, 1... | {"states": [939, 955], "expectation_value": -3.578568215209046, "params": [0.46640000000000004, 0.4418, 0.39930000000000004, 0.3927, 1.5273, 1.6081, 1.5967, 1.5817, 1.5907, 1.5478, 0.40690000000000004, 0.4053, 1.5552000000000001, 1.5827, 0.8012, 0.8024, 1.5806, 1.5717, 0.39890000000000003, 0.40290000000000004, 1.5769, ... | 0.16904761904761906 * (Z(1) @ Z(2)) + 0.18452380952380953 * (Z(3) @ Z(2)) + 0.18452380952380953 * (Z(3) @ Z(1)) + 0.0869047619047619 * (Z(4) @ Z(2)) + 0.18571428571428572 * (Z(4) @ Z(1)) + 0.23452380952380952 * (Z(4) @ Z(3)) + 0.11904761904761904 * (Z(6) @ Z(2)) + 0.13452380952380955 * (Z(6) @ Z(1)) + 0.134523809523809... | 13 | 12 | 1 | {"smallest_eigenvalues": [-4.114285714285715], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.023809523809524, "smallest_bitstrings": ["110001000100"], "largest_eigenvalue": 19.999999999999993} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.4120950789960665) q[0];
rz(-0.16336776008687556) q[0];
ry(-0.07522732765875362) q[1];
ry(1.8472585406468316) q[2];
ry(1.6481313142948768) q[3];
ry(1.5747103562959306) q[4];
ry(0.010185522382009062) q[5];
ry(1.599928112398604) q[6];
ry(1.7035233496133935) q[7];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIIIIIZZII",
"IIIIIIIIZIZI",
"IIIIIIIZIZII",
"IIIIIIIZIIZI",
"IIIIIIIZZIII",
"IIIIIZIIIZII",
"IIIIIZIIIIZI",
"IIIIIZIIZIII",
"IIIIIZIZIIII",
"IIIIZIIIIZII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIIZIIII",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIIZIIIIIIZI",
"IIIZIIIIZ... | [
0.16904761904761906,
0.18452380952380953,
0.18452380952380953,
0.0869047619047619,
0.18571428571428572,
0.23452380952380952,
0.11904761904761904,
0.13452380952380955,
0.13452380952380952,
0.11904761904761904,
0.1369047619047619,
0.1357142857142857,
0.18452380952380953,
0.17023809523809524,... | 0.976876 | [
0.4120950789960665,
-0.07522732765875362,
1.8472585406468316,
1.6481313142948768,
1.5747103562959306,
0.010185522382009062,
1.599928112398604,
1.7035233496133935,
1.5130092608104093,
-0.01513014482280238,
1.9324677107248822,
1.472313479629832,
-0.3267355201737511,
-0.007004839903229698,
... | {
"n_parameters": 47,
"n_qubits": 12,
"optimal_eigenvalue": -4.114285714285715,
"target_ratio": 0.97,
"target_value": -3.990857142857143
} | 14 |
57e4a42254a59ee532f799c4c74dbbc5 | 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": 6, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 0, ... | {"states": [0, 1], "expectation_value": -12.928780297169604, "params": [0.003, 0.5025000000000001, 0.0025, 0.5846, 0.5982000000000001, 0.24980000000000002, 0.0023, 0.5801000000000001, 0.0026000000000000003, 0.5928, 0.0028, 0.5506, 0.0027, -0.5903, 0.8001, 0.0004, 0.0031000000000000003, 0.0063, 0.0025, 0.0067, 0.5991000... | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -2.75 * (Z(4) @ Z(3)) + -1.5 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(4)) + -3.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(3) + 0.0 * Z(5) + 2.5 * Z... | 3 | 8 | 2 | {"smallest_eigenvalues": [-17.75, -17.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.75, "smallest_bitstrings": ["11111110", "11011110"], "largest_eigenvalue": 17.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.005854303607264674) q[0];
rz(0.3960597459368831) q[0];
rx(-0.013489921067996584) q[1];
rz(0.8659527247617227) q[1];
rx(0.693863413275396) q[2];
rz(-0.07052575540604744) q[2];
rx(0.07980093795002999) q[3];
rz(0.23434034951631544) q[3];
rx(-0.05568818637921519) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIZIII",
"ZIIIIIIZ",
"IIZIIZII",
"IIIZZIII",
"IZIIIIZI",
"IZZIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII"
] | [
-0.25,
-1.5,
-1.5,
-0.5,
-0.25,
2.5,
-0.5,
-2.75,
-1.5,
-1.25,
-0.25,
-3.25,
-0.25,
0.5,
0,
2.5,
0.5,
-0.5,
0.5
] | 0.977064 | [
-0.005854303607264674,
0.5558932394584737,
-0.013489921067996583,
0.6906493351292241,
0.6938634132753959,
0.052719814559119754,
0.07980093795002999,
0.4969877308788506,
-0.05568818637921519,
0.7924222696935164,
0.07016453342192276,
0.8263182994596178,
0.18091812245774114,
-0.56424050298015... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -17.75,
"target_ratio": 0.97,
"target_value": -17.2175
} | 8 |
21fb824db9d4571acc6db752df147323 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 8, "source": 0, "t... | {"states": [243, 182], "expectation_value": -32.8114981572395, "params": [[-0.0349, -0.012, 0.0176, 0.0049], [0.0684, 0.0695, 0.0603, 0.067]], "bitstrings": ["100001100", "101001001"], "total_optimization_steps": 10, "probabilities": [0.011349903433468322, 0.01265766250994145], "optimization_time": 13.610060930252075} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) @ Z(8)) + 11.5 * Z(1) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["101001001"], "largest_eigenvalue": 159.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.25549267704344236) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.25549267704344236) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(0.25549267704344236) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.30410009839415686) q[1];
rx(0.1258136... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIZII",
"IIZIZIIII",
"ZIZIIIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
11.5,
4,
9.5,
17,
17.5,
6.5,
14.5,
4.5,
11
] | 0.956651 | [
0.25549267704344236,
-0.3041000983941558,
0.9848763284385804,
1.2188036063518455,
-1.2756975813505953,
-1.8944588483939733,
0.2657877683668698,
-1.754342394793927,
-1.3441944115109647,
0.1258136736015813,
-0.15876278426209414,
-1.4367388359047493,
0.1028262008911357,
-0.011542361849532222,... | {
"n_parameters": 40,
"n_qubits": 9,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 500 |
59517442da8e0a3ab64f5fee3f7d688d | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target":... | {"states": [0, 480], "expectation_value": -28.61434378708983, "params": [1.2381, 0.5424, 0.0026000000000000003, 0.0022, 0.0025, 0.0024000000000000002, 0.0025, 0.0021000000000000003, 0.0025, 0.0025, 0.0026000000000000003, 0.0026000000000000003, 0.0025, 0.0025, 0.002, 0.0022, 1.0144, 0.002, 3.1391, 0.0023, 2.2521, -1.228... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -3.0 * (Z(4) @ Z(5)) + -3.0 * (Z(6) @ Z(5)) + -3.0 * (Z(6) @ Z(4)) + 1.5 * (Z(7) @ Z(5)) + -2.5 * (Z(7) @ Z(4)) + -3.0 * (Z(7) @ Z(6)) + -2.5 * (Z(8) @ Z(5)) + 1.0 * (Z(8) @ Z(4)) + -... | 14 | 9 | 1 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.0, "smallest_bitstrings": ["000011111"], "largest_eigenvalue": 23.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.5289132824258034) q[0];
rz(pi/2) q[0];
ry(-0.08685366734447472) q[1];
ry(-0.009511607110669399) q[2];
ry(-0.009511607110669399) q[3];
ry(-0.009511607110669399) q[4];
ry(-0.08685366734447472) q[5];
ry(-0.009511607110669399) q[6];
ry(-0.0960827038480056) q[7];
ry(1.1... | 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[... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZZIIII",
"IIZZIIIII",
"IIZIZIIII",
"IZIZIIIII",
"IZIIZIIII",
"IZZIIIIII",
"ZIIZIIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
-2,
-2,
-2,
-2,
1,
-2,
-3,
-3,
-3,
1.5,
-2.5,
-3,
-2.5,
1,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-2,
2,
-2,
1
] | 0.970021 | [
1.5289132824258034,
-0.08685366734447472,
-0.009511607110669399,
-0.0960827038480056,
1.1010872746184788,
3.1334112654370703,
-2.3724530490738673,
2.6254126068807886,
3.820957082862928,
3.6191699494235943,
0.20962613802731536,
2.5447352711221978,
3.494042076896364,
1.1906845936347004,
1.... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -31,
"target_ratio": 0.97,
"target_value": -30.07
} | 46 |
8292612205294179782 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2, 3, 4, 7], [5, 6], [2, 6, 7], [0, 8, 3, 6], [2, 3, 4, 5, 7, 8], [1, 4, 6], [1, 3, 4, 5], [8, 3, 4, 6]]} | {"states": [116, 372], "expectation_value": -2.1144031516317296, "params": null, "bitstrings": ["110001011", "010001011"], "total_optimization_steps": 45, "probabilities": [0.1097846614340743, 0.8693401276871328], "optimization_time": 94.0017077922821} | 0.05 * (Z(1) @ Z(2)) + 0.08333333333333334 * (Z(3) @ Z(2)) + 0.13333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333334 * (Z(4) @ Z(2)) + 0.3 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(7) @ Z(2)) + 0.05 * (Z(7) @ Z(1)) + 0.08333333333333334 * (Z(7) @ Z(3)) + 0.08333333333333334 * (Z(7) @ Z(4)) + 0.03333333333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.1333333333333333, -2.1333333333333333, -2.1333333333333333, -2.1333333333333333], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.116666666666667, "smallest_bitstrings": ["100011010", "011001001", "010001011", "101011000"], "largest_eigenvalue": 7.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-1.9973003933496545) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.31454742098205946) q[1];
ry(-2.4665988410888393) q[2];
rz(-pi) q[2];
ry(-2.881673553689653) q[3];
rz(-pi) q[3];
h q[4];
ry(1.642740876824781) q[4];
h q[5];
ry(-0.5902808362583392) q[5];
h q[6];
ry(1.4293947128569... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5055) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IZIIIIZII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIZIIII",
"IIIZIIZII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IZIZIIIII",
"IIZIIIZII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZIZIIII",
"IZZIIIIII",
"IIZZIIIII",
"... | [
0.05,
0.08333333333333334,
0.13333333333333333,
0.08333333333333334,
0.3,
0.25,
0.25,
0.05,
0.08333333333333334,
0.08333333333333334,
0.03333333333333333,
0.08333333333333333,
0.11666666666666667,
0.11666666666666667,
0.03333333333333333,
0.16666666666666666,
0.16666666666666666,
0... | 0.975709 | [
1.642740876824781,
1.4293947128569129,
-1.1805616725166783,
1.15589624236299,
0.26274658961985975,
-0.2747717228263329,
0.30996196906353274,
-0.6290948419641189,
-0.696493852745355,
-0.27591897044656893,
0.634257348932882,
-0.39176524016193,
0.5230903307221213,
-0.558702302963458,
0.3227... | {
"n_parameters": 40,
"n_qubits": 9,
"optimal_eigenvalue": -2.1333333333333333,
"target_ratio": 0.97,
"target_value": -2.0693333333333332
} | 1 |
-2681984990663361079 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 6], [1, 4], [3, 5], [3, 4], [1, 6], [0, 6], [8, 4], [1, 3], [1, 7], [8, 3], [2, 5]]} | {"states": [370, 141], "expectation_value": -0.09718038250154808, "params": [[0.0671], [-0.06720000000000001]], "bitstrings": ["010001101", "101110010"], "total_optimization_steps": 10, "probabilities": [0.0022072477833703376, 0.0022072477833703376], "optimization_time": 19.357295989990234} | 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(0) + ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.5, "smallest_bitstrings": ["001110110", "010001101", "101110010", "110001001", "111100000", "111100001", "000011110", "000011111"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[3];
rz(0.6303460666596279) q[3];
cx q[6], q[3];
cx q[6], q[1];
rz(0.6303460666596279) q[1];
cx q[6], q[1];
cx q[3], q[1];
rz(0.6303460666596279) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(0.6303460666596279)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[6], q[3];
rz(x0) q[3];
cx q[6], q[3];
cx q[6], q[1];
rz(x0) q[1];
cx q[6], q[1];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];... | null | {"circuits": [], "gradients": []} | [
"IIZIIZIII",
"IIZIIIIZI",
"IIIIIZIZI",
"IIIIZZIII",
"IIIIZIIZI",
"IIIZIZIII",
"IIZIIIIIZ",
"ZIIIIZIII",
"ZIIIZIIII",
"IZIIIIIZI",
"IIIZIIZII",
"IIZIIIIII",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIZIIIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIIIZII"
] | [
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
] | 0.507118 | [
0.6303460666596279,
1.3873864926444478e-8,
-0.6971041238925086
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 100 |
bce5ca5986693901af184e18507446b4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 6, "source": 2, ... | {"states": [111, 3], "expectation_value": -11.231667451788834, "params": [[0.1076, 0.2159, 0.28200000000000003, 0.29050000000000004], [-0.6442, -0.43970000000000004, -0.28040000000000004, -0.1816]], "bitstrings": ["10010000", "11111100"], "total_optimization_steps": 110, "probabilities": [0.19695652377360795, 0.1972655... | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -1.5 * (Z(1) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(5)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(2)) + -1.75 * (Z(6) @ Z(5)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(7) + -0.25 * Z(1) + -0.75 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.5, "smallest_bitstrings": ["11111110", "11111100"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.26551759312366496) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.24601808850036722) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.2106820697719629) q[3];
cx q[2], q[3];
h q[4];
cx q[2], q[4];
rz(-0.24601808850036722) q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"ZIIIIIIZ",
"IIIIIZZI",
"IIZIIIZI",
"IIIIZZII",
"IIZIZIII",
"IIIZIZII",
"IIZZIIII",
"IIIZZIII",
"IZIIIZII",
"IZZIIIII",
"IIIIIZII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIZIIIII",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII"
] | [
-0.25,
0.5,
-1.5,
-1.75,
-1,
-1.25,
-1.5,
-1,
-1.5,
-0.5,
-1.75,
0.25,
-0.25,
0.5,
-0.25,
-0.75,
-3.75,
2,
2.25
] | 0.970878 | [
-0.26551759312366496,
0.5443980403728371,
-0.24601808850036722,
-0.2378127075115953,
-0.2106820697719629,
-0.20753145420696298,
0.003614311912416672,
-0.7751099775106872,
-0.3975432926107583,
-0.847716413634907,
-0.4217054509723286,
0.811719888820736,
-1.5077942636527142,
-0.28499579844100... | {
"n_parameters": 52,
"n_qubits": 8,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 157 |
e0dccd63ccb6f94570f2b46361c692e0 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "s... | {"states": [6009, 6005], "expectation_value": -14.339415858653444, "params": [0.0029000000000000002, 0.0004, -0.004, -0.0004, 0.28750000000000003, 0.2906, -0.29610000000000003, -0.2868, 0.49460000000000004, 0.49400000000000005, 0.4787, 0.48400000000000004, 0.4364, 0.44, -0.007200000000000001, 0.0002, 0.4900000000000000... | -0.5 * (Z(13) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(13)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(13)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(13)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(0) @ Z(6)) + -0.5 * (Z(1) @ Z(6)) + 0.... | 14 | 15 | 3 | {"smallest_eigenvalues": [-15.749999999999945], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.749999999999854, "smallest_bitstrings": ["110100010001010"], "largest_eigenvalue": 37.25000000000008} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(0.05839614278337155) q[0];
rz(pi/2) q[0];
ry(0.007699594208596339) q[1];
ry(0.6368929387613436) q[2];
ry(-0.305948830476148) q[3];
ry(0.8279255936715874) q[4];
ry(0.6687371386581469) q[5];
ry(0.6083275044008217) q[6];
ry(-0.030249047403171775) q[7];
ry(0.73392389059... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IZIIIIIIIIIIZII",
"IIIIIIIIIIIZZII",
"IZIIIIIIIIIZIII",
"IIIIIIIIIIZIZII",
"IZIIIIIIIIZIIII",
"IIIIIIIIIIZZIII",
"IIIIIIIIIZIIZII",
"IZIIIIIIIZIIIII",
"IIIIIIIIIZIZIII",
"IIIIIIIIIZZIIII",
"IIIIIIIIZIZIIII",
"IIIIIIIIZZIIIII",
"IIIIIIIIZIIIIIZ",
"IIIIIIIIZIIIIZI",
"IIIIIIIIIIIIIZZ",
"... | [
-0.5,
1,
-0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
0.5,
1,
0.5,
0.5,
-0.5,
-0.5,
0.25,
-0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
... | 0.970135 | [
0.05839614278337155,
0.007699594208596339,
0.6368929387613436,
-0.305948830476148,
0.8279255936715874,
0.6687371386581469,
0.6083275044008217,
-0.030249047403171775,
0.7339238905999639,
0.40545979371793645,
0.47414350168779645,
1.0184967181303088,
-0.11619730788514432,
0.1838879214229425,
... | {
"n_parameters": 168,
"n_qubits": 15,
"optimal_eigenvalue": -15.749999999999945,
"target_ratio": 0.97,
"target_value": -15.277499999999947
} | 37 |
-1150492389707390021 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 5], [1, 3], [0, 1, 4], [4, 5, 6], [0, 3, 5], [1, 2], [0, 2]]} | {"states": [83, 99], "expectation_value": -2.284480062547775, "params": null, "bitstrings": ["0101100", "0011100"], "total_optimization_steps": 42, "probabilities": [0.031970446192301244, 0.8375155054705263], "optimization_time": 51.34666991233826} | 0.3333333333333333 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(5)... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.1666666666666674, "smallest_bitstrings": ["0011100"], "largest_eigenvalue": 5.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
ry(-0.19282979075679368) q[2];
cx q[1], q[2];
ry(0.19282979075679368) q[2];
cx q[1], q[2];
ry(-0.11023034960915779) q[2];
cx q[0], q[2];
ry(0.11023034960915779) q[2];
cx q[0], q[2];
ry(1.2089050774701982) q[0];
ry(1.6002909921646804) q[1];
ry(-0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.4449) 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",
"IZIIIZI",
"IZIIIIZ",
"IIIZIZI",
"IIIZIIZ",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IZZIIII",
"ZZIIIII",
"ZIZIIII",
"IIIIZZI",
"IIIIZIZ",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIZII"
] | [
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.3333333333333335,
0.5,
0.4999999999999999,
0.16666666666666... | 0.974555 | [
1.1890212262168645,
-0.38565958151358737,
1.6002909921646804,
-1.88664813292044,
-0.22046069921831557,
1.2162362856359377,
-0.5963033807483591,
0.21044464838888466,
-0.014662416331479272,
-0.2860211356897941,
-0.2092574782904654,
0.03810680414503052,
-0.7995745117342893,
0.6773722910568596... | {
"n_parameters": 35,
"n_qubits": 7,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 14 |
1031550142790787292 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[5, 6], [3, 4], [4, 5], [0, 2], [1, 2]]} | {"states": [21, 101], "expectation_value": -2.110873918812984, "params": null, "bitstrings": ["1101010", "0011010"], "total_optimization_steps": 48, "probabilities": [0.04802321090037695, 0.6665332007053326], "optimization_time": 40.125964641571045} | 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.0 * Z(6) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["0010101", "0011010", "1101010", "1100101"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.976631989960992) q[0];
cx q[2], q[0];
rz(1.8522825051547898e-08) q[0];
rx(-0.785398139464898) q[0];
cx q[2], q[1];
rz(0.976631989960992) q[1];
cx q[2], q[1];
rz(1.8522825051547898e-08) q[1];
rx(-0.785398139464898) q[1];
rz(1.8... | 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[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"ZZIIIII",
"IZZIIII",
"IIZZIII",
"IIIIZIZ",
"IIIIZZI",
"ZIIIIII",
"IZIIIII",
"IIZIIII",
"IIIZIII",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.609771 | [
0.976631989960992,
1.8522825385292805e-8,
-0.7853981394648979
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 89 |
4973527a678849b98f57c7e36651dc7d | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [25, 69], "expectation_value": -0.6813679608487243, "params": [[0.06770000000000001, 0.0303, 0.0448], [-0.0779, -0.039, -0.0368]], "bitstrings": ["1100110", "0111010"], "total_optimization_steps": 10, "probabilities": [0.011001059144259463, 0.011001059144259463], "optimization_time": 4.317403554916382} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(1) + -1.5 * Z(4) + -1.5 * Z(5) + 0.0 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0111010", "0011110", "1100110", "1010110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.8788272678966522) q[0];
rz(pi/2) q[0];
ry(-0.1334241194120591) q[1];
ry(0.011604251726391297) q[2];
ry(0.25142013658659446) q[3];
ry(0.7966340171037538) q[4];
ry(0.9791512702589679) q[5];
ry(0.407401027069806) q[6];
ry(0.4990764500234285) q[7];
ry(0.91240932417959... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IIIIZZI",
"IIZIZII",
"IIZZIII",
"IIZIIZI",
"IZIIZII",
"IZIIIZI",
"IZZIIII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-1,
-1.5,
-1.5,
0
] | 0.972665 | [
0.8788272678966522,
-0.1334241194120591,
0.011604251726391297,
0.25142013658659446,
0.7966340171037538,
0.9791512702589679,
0.407401027069806,
0.4990764500234285,
0.9124093241795926,
0.01000725245064743,
0.5390097874767521,
0.3349754001153205,
0.09482307600885169,
0.08011815732247125,
-0... | {
"n_parameters": 78,
"n_qubits": 10,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 56 |
b4764399bb7694871d7cf0cc7a871143 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "so... | {"states": [15, 13], "expectation_value": -0.336384670210056, "params": [[0.0599], [-0.0473]], "bitstrings": ["10000", "10010"], "total_optimization_steps": 10, "probabilities": [0.034593327836782845, 0.035581672179573295], "optimization_time": 1.6437666416168213} | -1.0 * (Z(0) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(4)) + -1.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(1)) + -3.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(4) + 2.75 * Z(1) + 0.5 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["10010"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.0026957957401774098) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.10581518505780388) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.11540216108184381) q[2];
cx q[3], q[2];
rz(0.4333108148961853) q[3];
rx(0.4323375606494058) q[... | 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IZIIZ",
"ZIIIZ",
"IZIZI",
"ZIIZI",
"IZZII",
"ZIZII",
"IIZZI",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
-1,
1.25,
-0.75,
-0.75,
-1.25,
-0.5,
-1.25,
-3,
-0.25,
0,
2.75,
0.5
] | 0.973046 | [
-0.0026957957401774098,
0.18039228660587642,
-0.10581518505780388,
0.11540216108184381,
0.21701496465636422,
0.4333108148961855,
0.3673365099505475,
-0.4099008906290893,
-0.6505096062879676,
-0.7080263566489183,
0.43233756064940576,
-0.1223249177971326,
-0.169718764529791,
-0.0048142708149... | {
"n_parameters": 41,
"n_qubits": 5,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 22 |
c4f38c3f6d00b9cff0998d2f5aa9786b | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 3}, {"weight": 15, "source": 0, "target": 5}, {"weight": 17, "sourc... | {"states": [246, 244], "expectation_value": -29.24375092811575, "params": [[-0.024, -0.0105, 0.0122], [0.056100000000000004, 0.0714, 0.0587]], "bitstrings": ["100001001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.007512659918472532, 0.010346941905364745], "optimization_time": 6.121114253997803} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-96.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.0, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 180.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.047683234584553376) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.047683234584553376) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.047683234584553376) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.047683234584553376) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIIZ",
"IIIZIIIZI",
"IIZIIIIZI",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"ZIIIIZIII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
23,
10.5,
17.5,
18.5,
13,
2.5,
16,
-2,
6
] | 0.970948 | [
-0.047683234584553376,
-1.4088876277973392,
0.8024123522048195,
-1.0703264407718112,
-0.7747679879325239,
-1.297237775249799,
0.6082928587592895,
-1.7547977543780797,
0.8257884085663604,
2.0858627036278214,
0.7717476530483658,
-0.006219933967597492,
-0.18805215775971956,
0.5983277950746078... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -96,
"target_ratio": 0.97,
"target_value": -93.12
} | 72 |
62ca4fdc3f835f51dee1780376d2bf19 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [50, 38], "expectation_value": -3.996464044453145, "params": null, "bitstrings": ["001101", "011001"], "total_optimization_steps": 25, "probabilities": [0.06634810229922904, 0.9303665171780984], "optimization_time": 20.37959313392639} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "011001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.03311259666018414) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-0.03311259666018414) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(-0.03311259666018414) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(-0.033... | 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... | [
"IIIZIZ",
"ZIIZII",
"ZIIIIZ",
"IIIZZI",
"ZIZIII",
"IIZIZI",
"IZIZII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-0.5,
-0.5,
-0.5
] | 0.970979 | [
-0.03311259666018414,
-0.926740016131006,
1.1332781721574576,
-0.6828999435483087,
0.048848077717694956,
-0.6892557923561745,
-0.9341746867604942,
-1.0526159075651214,
1.562787464657171,
-0.6479653873188044,
-0.7809022078920977,
-0.48800858196832586,
-0.05786698635618916,
-3.23403462105192... | {
"n_parameters": 16,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 139 |
e9cd4f16fca9474ca53962a2c5c7dd8e | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 5, "target":... | {"states": [0, 508], "expectation_value": -9.297313236952538, "params": [-0.7115, 0.1431, 0.8157000000000001, 0.006500000000000001, 0.792, 1.7421, 0.6362, 0.0002, 0.9169, 1.4169, -0.5469, 0.0033, 0.9193, 1.161, -0.5720000000000001, 0.005200000000000001, -0.9246000000000001, 1.1013, 0.12380000000000001, 0.0041, -0.918, ... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + -1.0 * Z(8) + -1.0 * Z(7) | 6 | 9 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["000000011"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-1.5496310099142134) q[0];
rz(1.4717697936179306) q[0];
rx(0.131307132326481) q[1];
rz(-2.9174954751874385) q[1];
rx(1.612319384674029) q[2];
rz(1.5116596538706402) q[2];
rx(1.904268082796584) q[3];
rz(1.6200215386721482) q[3];
rx(3.0753568187891713) q[4];
rz(2.79965... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIZZIIII",
"IIZZIIIII",
"IIZIZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-1,
-1,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.975363 | [
-1.5496310099142134,
-0.09902653317696716,
0.131307132326481,
1.7948935051972514,
1.612319384674029,
-0.0591366729242561,
1.9042680827965843,
0.049225211877251734,
-3.2078284883904153,
1.2288593876384062,
-3.083343183371236,
0.6713821197635426,
-0.1208696439485555,
0.5417121545273366,
0.... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 257 |
01c509cf41fe904ef36f9c73fa58f4df | 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": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, {"source": 4, "ta... | {"states": [245, 117], "expectation_value": -2.593997323689548, "params": [0.19290000000000002, 0.0068000000000000005, 0.1943, 0.006900000000000001, 0.2086, 0.0013000000000000002, 0.2079, -0.0015, 0.2019, 0.0036000000000000003, 0.19890000000000002, 0.0058000000000000005, 0.20670000000000002, 0.0034000000000000002, 0.19... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * Z(2) + 0.0 * Z(0) + -1.0 * Z(4) + -0.5 * Z(1) + -1.5 * Z(6) + 0.0 * Z(3) + -0.5 * Z(5) + 0.0 * Z(7) | 7 | 8 | 4 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["00101010", "10001010"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(1.6067730635277808) q[0];
ry(0.0068978171400194965) q[0];
rz(-2.165295187823308) q[0];
rz(-0.9320305873596415) q[1];
ry(2.9546423754659843) q[1];
rz(1.5962878589443843) q[1];
rz(1.94887746650212) q[2];
ry(0.10017209095800164) q[2];
rz(-2.4547303306903094) q[2];
rz(-2... | 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": []} | [
"IIIIIZIZ",
"IIIZIIZI",
"IZIIIZII",
"IZIIIIZI",
"IIIZZIII",
"IIZZIIII",
"IZZIIIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"IZIIIIII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1,
-0.5,
-1.5,
0,
-0.5,
0
] | 0.977898 | [
0.0034511417619457353,
0.07195304533925116,
1.2739833284948667,
-0.123054125877101,
0.005011551244307841,
0.3973837165633978,
1.905775237438528,
0.06934632738707407,
-0.07347402081215618,
0.21084071151892464,
0.02816020830904334,
-0.5182778496141923,
1.303011955708514,
0.0862986415836879,
... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 24 |
bb94fc95e3d2399ab0a553ee86bc119a | 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": 4}, {"source": 5, "target": 6},... | {"states": [0, 2015], "expectation_value": -6.401393397540362, "params": [0.4534, 0.37270000000000003, -0.4676, 1.0484, 0.5306000000000001, 0.32880000000000004, -0.3488, 1.0167000000000002, 0.5438000000000001, 0.5328, -0.4132, 1.2265000000000001, 0.5425, 0.9537, -0.49410000000000004, 0.7968000000000001, 0.5675, 1.1333,... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(0)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + -1.0 * (Z(9) @ Z(10)) + -1.0 * (Z(2) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(10) + 0.5 * Z(9) + 0.5 * Z(3) + 0.5 * Z(2) + -0.5 *... | 6 | 11 | 2 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["00000100000"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-3.0337159858545584) q[0];
rz(1.3254802367244434) q[0];
rx(-2.7029055459339055) q[1];
rz(1.6855173930529785) q[1];
rx(-1.5643458476710366) q[2];
rz(-3.1297779369385585) q[2];
rx(-1.5261529761990706) q[3];
rz(-3.0675021690505506) q[3];
rx(-2.935345799645677) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIZZIIIIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"ZZIIIIIIIII",
"IIIIIIIZZII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIZIIII",
"IIIZIIIIIII",
"IIIIZIIIIII",
"IIZIIIIIIII",
"ZIIIIIIIIII",
"IZIIIIIIIII",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIZIII... | [
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.89303 | [
3.2494693213250283,
-0.2453160900704532,
3.5802797612456807,
0.11472106625808234,
-1.5643458476710368,
1.5826110434461316,
-1.5261529761990709,
1.6448868113341397,
-2.935345799645677,
2.722458642384179,
1.3536274534815813,
-1.4151687466712484,
1.3397802362892122,
1.2713440976728159,
3.25... | {
"n_parameters": 53,
"n_qubits": 11,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 500 |
ea10fc6467a4cdd3d175966fb27caf0f | 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": [1860, 837], "expectation_value": -86.14924409695635, "params": [[[1.5734000000000001, 0.048], [3.1445000000000003, -0.0409], [3.1390000000000002, 0.0007], [1.1025, 1.1077000000000001], [1.5733000000000001, 1.5734000000000001], [1.5687, 1.5729], [-1.5687, -1.5687], [-1.5686, 1.568], [1.5738, 1.57330000000000... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(2) @ Z(0)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(4) @ Z(1)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(10) @ Z(5)) + 7.0 * (Z(8) @ Z(10)) + 7.0 * (Z(6) @ Z(8)) + 7.0 * (Z(9) @ Z(10)) + 7.0 * (Z(9) @ Z(8)) + 17.0 * Z(1) + 2.5 * Z(0) + 6.5 * Z(2) + 11.0 * Z(3) +... | 15 | 11 | 1 | {"smallest_eigenvalues": [-119.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -100.5, "smallest_bitstrings": ["10010111010"], "largest_eigenvalue": 177.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.5300043943451649) q[0];
ry(4.753732435439116) q[1];
ry(1.5811445290933233) q[2];
ry(1.454196209302585) q[3];
ry(1.543525393676596) q[4];
ry(1.402859240810036) q[5];
ry(-1.6063620948877) q[6];
ry(-1.4425518632439296) q[7];
ry(1.6683582979952036) q[8];
ry(1.56114409... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIIZIIZI",
"IIIIIIZZIII",
"IIIIIZZIIII",
"ZIIIIZIIIII",
"ZIZIIIIIIII",
"IIZIZIIIIII",
"ZZIIIIIIIII",
"IZZIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"ZIIIIIIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
17,
2.5,
6.5,
11,
14.5,
4.5,
13.5,
15,
-6.5,
3.5,
-12
] | 0.971106 | [
1.5300043943451649,
4.753732435439116,
1.5811445290933233,
1.454196209302585,
1.543525393676596,
1.402859240810036,
-1.6063620948877,
-1.4425518632439296,
1.6683582979952036,
1.5611440971918098,
1.4814032401440829,
1.6192671182255862,
-1.5567604442108298,
-1.4401231002278374,
1.454203542... | {
"n_parameters": 19,
"n_qubits": 11,
"optimal_eigenvalue": -119.5,
"target_ratio": 0.97,
"target_value": -115.91499999999999
} | 184 |
081a3ef2a02910794db9cb14b9d27e2c | 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": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [10, 12], "expectation_value": -1.9729032350612994, "params": null, "bitstrings": ["10101", "10011"], "total_optimization_steps": 15, "probabilities": [0.07435629520367529, 0.899032607013672], "optimization_time": 7.262861013412476} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["10101", "01110", "11100", "10011", "01011"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3032958163120794) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(-0.3032958163120794) q[0];
cx q[2], q[0];
rz(0.8552742360724439) q[0];
rx(0.459671657095483) q[0];
h q[3];
h q[4];
cx q[4], q[3];
rz(-0.3032958163120794) q[3];
cx q[4],... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.4449) q[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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IZIIZ",
"ZIIZI",
"IZZII",
"ZIZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.971835 | [
-0.3032958163120794,
0.8552742360724437,
0.459671657095483,
-0.19969798362318422,
-0.5347021902916858,
0.39881531451821206,
-0.8390846379262727,
0.5552620141921045,
0.31915477986402796,
-0.8857236685748646,
1.4111741889625347,
0.36007566681044045
] | {
"n_parameters": 12,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 49 |
e4c65d82be0d39aa5a43dd21b25413c9 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 2}, {"weight": 17, "source": 1, "target": 3}, {"weight": 11, "source": 1, "target": 5}, {"weight": 1... | {"states": [243, 122], "expectation_value": -35.10476644482667, "params": [[-0.0405, -0.0006000000000000001, 0.0064, -0.0007], [0.0806, 0.0805, 0.0732, 0.064]], "bitstrings": ["00001100", "10000101"], "total_optimization_steps": 10, "probabilities": [0.023521924092657666, 0.023990446882653636], "optimization_time": 7.9... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) @ Z(4)) + 3.5 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 147.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3247553284692968) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.3247553284692968) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.3247553284692968) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.3247553284692968) q[3];
cx q[2], q[3];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIZII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
9,
11.5,
15.5,
20,
12.5,
5,
13,
8
] | 0.974813 | [
0.3247553284692968,
-1.3219445212436283,
-0.42592128972119486,
-1.3026339243679061,
-0.9080909678550849,
-1.1188009159857968,
0.06199065936474893,
-1.7911626886341159,
0.15201918715687204,
0.008349512126035533,
-0.1740273346787747,
-0.13593270342756683,
0.4345867108068353,
-0.2043119716458... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -63,
"target_ratio": 0.97,
"target_value": -61.11
} | 68 |
d9276ab04192f5db28a948b095cd361d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [118, 117], "expectation_value": -16.718024100425207, "params": [[0.0332, 0.0092], [-0.0762, -0.054200000000000005]], "bitstrings": ["10001001", "10001010"], "total_optimization_steps": 10, "probabilities": [0.010875979972168772, 0.01200489850204636], "optimization_time": 2.5851972103118896} | 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(5)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(6) @ Z(7)) + 7.0 * Z(0) + 7.5 * Z(2) + 16.5 * Z(1) + 20.0 * Z(5) + 12.5 * Z(3) + 2.0 * Z(4)... | 1 | 8 | 2 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.0, "smallest_bitstrings": ["10001010"], "largest_eigenvalue": 134.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(-0.1838336947205939) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(-0.1838336947205939) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(-0.1838336947205939) q[1];
cx q[2], q[1];
rz(1.0343655962815266) q[2];
rx(-0.2118788003853098) q[2];
h q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIZIIIZI",
"IIIIZIIZ",
"IIZIZIII",
"IIZZIIII",
"IIIZZIII",
"ZIIIIIZI",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIZIIIII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
7,
7.5,
16.5,
20,
12.5,
2,
14.5,
-1
] | 0.984242 | [
-0.1838336947205939,
-0.6471699874583519,
1.0343655962815261,
1.5814583385957597,
0.6674909480139941,
1.208814980804553,
-1.4809994906348014,
1.794375371529484,
-1.1501224383196897,
-0.2118788003853098,
0.1627321116164231,
-0.6578541839681215,
0.28414832997700396,
0.06985036348980689,
0.... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 37 |
bfcc016c6d32554855d911056b5152b6 | 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": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 0, ... | {"states": [9, 1], "expectation_value": -18.358112019780762, "params": null, "bitstrings": ["11110110", "11111110"], "total_optimization_steps": 58, "probabilities": [0.093312461517512, 0.6817468038862153], "optimization_time": 74.63880372047424} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(6)) + 4.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(2)... | 1 | 8 | 4 | {"smallest_eigenvalues": [-22.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 25.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.3752757109842413) q[0];
rz(-pi) q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.415074937944226) q[5];
ry(-0.43331589186150515) q[6];
rz(-pi) q[6];
h q[7];
ry(1.58887715244145) q[7];
cx q[7], q[6];
ry(0.05190789413979533) q[6];
cx q[7], q[6];
cx q[7], q[0];
ry... | 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(-0.4397) 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... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZZIIIII",
"IIIIZZII",
"IZIIZIII",
"ZIIIIIIZ",
"ZIIIIZII",
"IZIZIIII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"IIIIZIII",
"ZIIIIII... | [
-0.5,
-0.75,
-1.5,
-1,
-1,
-0.5,
-1,
-1,
-0.25,
-0.5,
-0.5,
-1.5,
4.25,
-1,
-1.75,
-0.75,
1.75,
-0.25,
0,
-1.5,
-5,
-0.25,
3.25,
2
] | 0.971231 | [
-1.085572540793596,
1.58887715244145,
-0.9373400288341168,
-0.10381578827959066,
-0.5163611739530768,
-0.36661780541500905,
-1.415074937944226,
-0.18803730139083544,
-0.3358265592031672,
0.0757377937923358,
-1.7289304795650944,
-1.550591774428836,
-1.498222114092371,
0.04077677087104195,
... | {
"n_parameters": 44,
"n_qubits": 8,
"optimal_eigenvalue": -22.25,
"target_ratio": 0.97,
"target_value": -21.5825
} | 19 |
-3224638487410724847 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 5], [0, 1], [2, 3], [2, 5], [2, 4], [1, 4], [4, 5], [1, 3], [3, 5]]} | {"states": [24, 25], "expectation_value": -2.15477460274741, "params": null, "bitstrings": ["100111", "100110"], "total_optimization_steps": 40, "probabilities": [0.325830650075388, 0.4547494839886936], "optimization_time": 34.30031871795654} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["100111", "100110", "011000", "011001"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.1400923798961628) q[0];
h q[1];
cx q[1], q[0];
ry(0.1400923798961628) q[0];
cx q[1], q[0];
ry(-1.1287121343477273) q[0];
ry(1.2555710780941758) q[1];
h q[2];
h q[3];
ry(-0.18052709359627292) q[3];
cx q[2], q[3];
ry(0.18052709359627292) q[3];
cx q[2], q[3];... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"ZIIIZI",
"IIIIZZ",
"ZIIZII",
"ZIZIII",
"IIZIZI",
"IIZZII",
"ZZIIII",
"IZIIZI",
"IZIZII",
"ZIIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.971627 | [
-0.2801847597923256,
1.2555710780941758,
-0.36105418719254584,
1.5102721355728506,
-1.0479966901811935,
-0.8222831627315479,
0.2521104351511431,
-0.9773637272950426,
0.08305556049227468,
0.41603110340452093,
-0.0009748888485288376,
-0.38272958386944295,
0.4049179472323623,
0.29229643300270... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 21 |
b426b8aff164c6823b185eb6b091738d | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, {"source": 4, "target": 3}, {"source": ... | {"states": [56, 7], "expectation_value": -3.4084901437314086, "params": [[0.0689, 0.0763], [-0.0703, -0.0834]], "bitstrings": ["000111", "111000"], "total_optimization_steps": 10, "probabilities": [0.03111484763319934, 0.03210833740263862], "optimization_time": 3.608137369155884} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 18 | 6 | 2 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(3.146586182667847) q[0];
rz(-0.4960671937553839) q[0];
ry(-0.1292922814490114) q[1];
rz(-0.6985758714498361) q[1];
cz q[1], q[0];
ry(0.043070532367504924) q[1];
ry(-0.04475695876475132) q[2];
rz(0.6631600359423698) q[2];
ry(0.5756435583956447) q[3];
rz(-0.14283149628... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
2,
2,
1.75,
2,
2,
1.75,
2,
1.75,
-0.5,
-0.75,
-0.75,
-0.5,
-0.5,
-0.5
] | 0.988667 | [
3.146586182667847,
-0.4960671937553839,
-0.1292922814490114,
-0.6985758714498361,
-0.04475695876475132,
0.6631600359423698,
0.5756435583956447,
-0.14283149628386937,
0.09442180069266345,
2.7246196860446945,
0.021535266183752462,
3.2207334379454498,
-1.152313102082496,
-0.5291711248863585,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 27 |
6af884d627ee37a45c35f4c485ec07d5 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [61, 1], "expectation_value": -0.6921603663880525, "params": [[0.049800000000000004, 0.0683, 0.0779, 0.0757], [-0.0074, -0.042300000000000004, -0.0631, -0.0644]], "bitstrings": ["1000010", "1111110"], "total_optimization_steps": 10, "probabilities": [0.01651839524553116, 0.01697493606561526], "optimization_t... | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(5)) + -1.25 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * Z(5) + -0.25 * Z(0) + 0.5 * Z(6) + 0.25 * Z(3) + -0.25 * Z(1) + -0.25 * Z(4) + 0.5 * Z(2) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1101110", "1101010", "1000010", "1111110"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.2129396642339767) q[0];
cx q[5], q[0];
cx q[5], q[3];
rz(-0.2129396642339767) q[3];
cx q[5], q[3];
cx q[3], q[1];
rz(-1.5032141761943887) q[1];
cx q[3], q[1];
rz(-0.2129396642339767) q[1];
rx(-0.873748... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IZIIIIZ",
"ZIIIIIZ",
"IZIZIII",
"IIIZIZI",
"IIZZIII",
"IIZIZII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IIIIZII"
] | [
-0.25,
0.5,
-0.25,
-1.25,
-0.25,
-0.5,
-0.5,
-0.25,
0.5,
0.25,
-0.25,
-0.25,
0.5
] | 0.656065 | [
-0.2129396642339767,
0.823446126675711,
-1.5032141761943887,
-1.1053657754057873,
-0.24166154592351555,
-0.8737487988534467
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 173 |
11576eab70c2ec583415b5e8bd58f9e2 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [5, 7], "expectation_value": -1.3163355649793587, "params": [[[0.558, -0.23320000000000002], [0.5726, -0.23070000000000002], [0.5675, -0.231], [0.9884000000000001, -0.0001], [0.88, -0.0011], [0.8951, 0.0007]], [[0.5608000000000001, 0.0043], [0.5737, 0.004], [0.5738, 0.0064], [0.9917, 0.0068000000000000005], ... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 *... | 1 | 6 | 2 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000", "110010"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3716796306065885) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.3716796306065885) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.3716796306065885) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.3716796306065885) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
1.75,
1.75,
1.75,
1.75,
1.75,
2,
2,
2,
1.75,
2,
2,
2,
2,
2,
1.75,
-0.75,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25
] | 0.698312 | [
-0.3716796306065885,
0.8727381071204077,
0.7179543098390148,
-0.19857375753212136,
0.8889599314407369,
-1.5807265779890087,
2.4860629174438844,
1.2068334987105587,
0.4724410059780224
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 259 |
250509f37f9446f8e0ae2849e52dd5c2 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "... | {"states": [268, 12], "expectation_value": -3.1985748275339594, "params": [[-0.0227, -0.052000000000000005, -0.024, -0.037700000000000004], [0.0073, 0.038900000000000004, 0.021500000000000002, 0.0262]], "bitstrings": ["111011110011", "111111110011"], "total_optimization_steps": 10, "probabilities": [0.00041504614807242... | 0.5 * (Z(0) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(0)) + 1.0 * (Z(1) @ Z(8)) + 0.8571428571428572 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(9)) + 1.0 * (Z(2) @ Z(8)) + 0.8571428571428572 * (Z(2) @ Z(0)) + 1.0 * (Z(2) @ Z(9)) + 1.7142857142857144 * (Z(2) @ Z(1)) + -1.0 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(0)) + -1.0 * (Z... | 1 | 12 | 4 | {"smallest_eigenvalues": [-12.214285714285715], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.928571428571429, "smallest_bitstrings": ["111111110011"], "largest_eigenvalue": 61.35714285714286} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.23187867410549912) q[3];
cx q[4], q[3];
rz(0.8132055690128235) q[3];
rx(0.035835034364257105) q[3];
rz(0.8132055690128235) q[4];
rx(0.035835034364257105) q[4];
cx q[4], q[3];
rz(-0.05443002659568791) q[3];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IIIZIIIIIIIZ",
"IIZZIIIIIIII",
"IIZIIIIIIIIZ",
"IIIZIIIIIIZI",
"IIIIIIIIIIZZ",
"IIZIIIIIIIZI",
"IIIZIIIIIZII",
"IIIIIIIIIZIZ",
"IIZIIIIIIZII",
"IIIIIIIIIZZI",
"IIIZIIZIIIII",
"IIIIIIZIIIIZ",
"IIZIIIZIIIII",
"IIIIIIZIIIZI",
"IIIIIIZIIZII",
"IIIZIZIIIIII",
"IIIIIZIIIIIZ",
"IIZIIZIII... | [
0.5,
1,
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1,
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1,
1,
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1,
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-1,
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-1,
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-1,
1,
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2.5,
1.14285714... | 0.935118 | [
-0.32731231516638337,
0.14897380147739106,
0.3033132207069555,
-0.2901323363886198,
-0.02932935189490087,
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0.03341520145894577,
0.6529864875408972,
0.6390851350237903,
0.859657635171111,
... | {
"n_parameters": 68,
"n_qubits": 12,
"optimal_eigenvalue": -12.214285714285715,
"target_ratio": 0.97,
"target_value": -11.847857142857144
} | 500 |
dddd2c6c503a97ade6b445e6815c4f85 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3... | {"states": [17, 1], "expectation_value": -18.2033545525087, "params": null, "bitstrings": ["1101110", "1111110"], "total_optimization_steps": 39, "probabilities": [0.09184956582734856, 0.7367857029693289], "optimization_time": 38.81988310813904} | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(1)) + 4.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -4.5 * Z(2) + -0.2... | 1 | 7 | 2 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.3835829982735985) q[0];
h q[1];
ry(-0.23054234387346784) q[2];
rz(-pi) q[2];
h q[3];
ry(-1.6609807137639119) q[3];
h q[4];
ry(-1.6609807137639119) q[4];
h q[5];
h q[6];
ry(1.5858095443127922) q[6];
cx q[6], q[0];
ry(0.3835829982735985) q[0];
cx q[6], q[0];... | 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(-0.7408) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IIIZIZI",
"IIZIIZI",
"IZIIZII",
"IZIZIII",
"IZIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"ZIIIIII"
] | [
-1.5,
-1,
-1,
-0.5,
-1.5,
-1,
-0.5,
-1.25,
-1.5,
-0.5,
-0.75,
4.25,
-0.25,
-4.5,
-0.25,
1,
-0.5,
0,
0.25,
4
] | 0.980551 | [
-1.4098882403195747,
1.5858095443127922,
-0.767165996547197,
-0.5539265111555969,
0.13926851479629185,
-0.11045327377191261,
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-0.2813424644813915,
1.1199313195889984,
1.411419348927798,
-0.0019517279154879635,
0.706605540424... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -23,
"target_ratio": 0.97,
"target_value": -22.31
} | 23 |
b582b82cd47c73b125a472cd4355807c | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [190, 182], "expectation_value": -83.2267251372021, "params": [-0.0057, 0.40850000000000003, 0.7867000000000001, -0.0297, 0.0374, -0.3471, 0.7884, -0.001, 0.7906000000000001, 0.0478, 0.38670000000000004, 0.2243, 0.7879, -0.00030000000000000003, 0.7915000000000001, -0.12190000000000001, 0.18730000000000002, -... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(2) @ Z(4)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(3)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(8)) + 20.5 * Z(1) + -0.5 * Z(0) + 25.0 *... | 18 | 9 | 4 | {"smallest_eigenvalues": [-90.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.0, "smallest_bitstrings": ["101001001"], "largest_eigenvalue": 173.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.012671548641272882) q[0];
rz(0.8256882680090327) q[0];
rx(0.6908909408045277) q[1];
rz(0.0021556210523165503) q[1];
rx(-0.1378922899258289) q[2];
rz(-0.43075530837848724) q[2];
rx(0.7630412402200322) q[3];
rz(-0.06518325441851289) q[3];
rx(0.768934908642023) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input ... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIZZIII",
"IIIIIZZII",
"IIIIZIZII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZZIIIII",
"ZIZIIIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"IIIIIIZII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"... | [
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,
20.5,
-0.5,
25,
8,
0.5,
15.5,
9.5,
4,
19
] | 0.973946 | [
0.012671548641272883,
0.6371730903728658,
0.6908909408045277,
0.0021556210523165503,
-0.1378922899258289,
-0.43075530837848724,
0.7630412402200322,
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0.768934908642023,
0.07203718663817299,
0.24567943436205253,
0.31635851164680406,
1.046048323196338,
0.23468796922245072... | {
"n_parameters": 105,
"n_qubits": 9,
"optimal_eigenvalue": -90,
"target_ratio": 0.97,
"target_value": -87.3
} | 7 |
fb354d60453679d679afcbc2ef259e36 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [243, 227], "expectation_value": -1.7930805525304199, "params": [0.5937, -0.003, 0.5948, 0.0427, 0.5972000000000001, 0.051800000000000006, 0.314, 0.1452, -0.0103, -0.28850000000000003, 0.0927, 0.25680000000000003, 0.5856, 0.18860000000000002, 0.6037, 0.0751, 0.5947, -0.0098, 0.5965, 0.0292, 0.6026, 0.0837000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0... | 16 | 8 | 4 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.125, "smallest_bitstrings": ["00011100", "01001010", "10000101"], "largest_eigenvalue": 5.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.771457845796399) q[0];
rz(0.20583293908457456) q[0];
rx(0.9226641717609871) q[1];
rz(0.16372671104574926) q[1];
cx q[1], q[0];
rz(-0.04382293817596074) q[0];
cx q[1], q[0];
rx(0.7533216915569005) q[0];
rz(0.05206125349230284) q[0];
rz(0.06315738960408568) q[1];
rx(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIIZZIZ",
"IIIIZZZI",
"IIIIZZZZ",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIIZII",
"IZIIIZII",
"IZZIIIII",
"IZZIIZII",
"IZIIZIII",
"ZIIIZIII",
"ZZIIIIII",
"ZZIIZIII",
"ZIIZIIII",
"IIIIIII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
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0.125,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.125,
-0.125,
0.125,
0.125,
-0.5,
-0.25,
0,
-0.25
] | 0.97422 | [
0.7714578457963991,
0.16201000090861373,
0.9226641717609871,
0.16372671104574926,
1.1584520372173939,
-0.006876482614402969,
0.0444164020346387,
0.25393271130854,
-0.047803904028318286,
-0.03324698493440209,
-0.03689418107124742,
0.10406937110530717,
0.643156446848987,
0.15964110472260815,... | {
"n_parameters": 88,
"n_qubits": 8,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 13 |
280c299f20e1315abf7588da0d0c677b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, ... | {"states": [886, 374], "expectation_value": -2.345722458681314, "params": [[[0.8114, 0.0037, 0.009300000000000001, 0.007500000000000001], [0.3854, 0.029900000000000003, 0.5254, 0.1307], [0.07300000000000001, 0.051300000000000005, 0.0091, -0.09970000000000001], [-0.0177, -0.49250000000000005, 0.4446, -0.1027], [0.056400... | 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 | 3 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.375, "smallest_bitstrings": ["0010110010", "0010101001", "0010011100", "0011100010", "0110010100", "0010100011", "0110100001", "1010001001",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.087876969629739) q[0];
rz(-0.5156851497874234) q[0];
ry(-0.33654896756207303) q[1];
rz(0.047832649570161825) q[1];
cx q[1], q[0];
ry(0.6190836215180014) q[0];
rz(0.3307864854267342) q[0];
ry(0.610204825794482) q[1];
rz(0.387587080981725) q[1];
ry(-0.00852679081191... | 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] x11;
input float[64] x12;
inp... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIIZZIZ",
"IIIIIIZZZI",
"IIIIIIZZZZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIIZZIIIZ",
"IIIZIZIIII",
"IIZIIZIIII",
"IIZZIIIIII",
"IIZZIZIIII",
"IIIZIIIIZI"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
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-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
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0.25,
0.25,
0.25,
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0.25,
0.25,
0.25,
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0.125,
0.125,
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0.125,
0,
0,
0... | 0.970407 | [
1.087876969629739,
-0.5156851497874234,
-0.33654896756207303,
0.047832649570161825,
-0.008526790811912217,
0.2927708867307223,
-0.05440600889187779,
-0.66789634116803,
0.27754255662739025,
-0.09947710957524689,
-0.06888954991081045,
0.28177127714475964,
0.005075387186939086,
-0.25745773945... | {
"n_parameters": 108,
"n_qubits": 10,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 83 |
723b73fdc30b23dba77c4958fef78f24 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [113, 53], "expectation_value": -3.79062548108071, "params": null, "bitstrings": ["0001110", "1001010"], "total_optimization_steps": 46, "probabilities": [0.04769126139284315, 0.8614509210248673], "optimization_time": 40.981866121292114} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(1) + -0.5 * Z(3) + 0.0 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["1001010"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.3213284069120986) q[0];
h q[1];
ry(1.561227557979563) q[1];
ry(-0.5996924930716909) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.3213284069120986) q[3];
h q[4];
cx q[4], q[0];
ry(0.3213284069120986) q[0];
cx q[4], q[0];
ry(-0.6920859783029909) q[0];
ry(0.858866298320... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[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", ... | [
"IIIIZIZ",
"IIZIIIZ",
"IZIIZII",
"IZIIIIZ",
"IZIIIZI",
"IIIZZII",
"ZIIZIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0,
-1,
0,
-0.5,
0
] | 0.976117 | [
-1.5228681084041154,
-1.391331881335179,
1.561227557979563,
-0.6426568138241971,
0.4893931357312403,
-0.39231862825062086,
0.7389463251778208,
-0.5995347001047401,
0.3967606414427418,
0.38756318595233574,
-0.14652558977380725,
-0.24590209038459773,
0.14523805156870565,
0.8404560952239467,
... | {
"n_parameters": 29,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 10 |
be98abf16f233411f1a7350078e6bb3a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [105, 113], "expectation_value": -3.999105011962873, "params": null, "bitstrings": ["0010110", "0001110"], "total_optimization_steps": 34, "probabilities": [0.06552852227118001, 0.9338466720002203], "optimization_time": 32.18418312072754} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * Z(4) + -0.5 * Z(0) + -0.5 * Z(5) + -0.5 * Z(1) + -0.5 * Z(3) + 0.0 * Z(2) + 0.0 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["0010110", "0001110"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-2.8866218236344316) q[0];
rz(-pi) q[0];
h q[1];
ry(1.2356297707224817) q[1];
h q[2];
h q[3];
ry(-0.5530370544994598) q[3];
cx q[2], q[3];
ry(0.5530370544994598) q[3];
cx q[2], q[3];
ry(1.1054456705057107) q[2];
ry(-0.7636676340418977) q[3];
h q[4];
ry(-1.59776952939... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIZIIIZ",
"IZIIIIZ",
"IIZIIZI",
"IZIIIZI",
"IIZZIII",
"IIIZZII",
"ZIZIIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIZIII",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-0.5,
-0.5,
0,
0
] | 0.992448 | [
-1.5977695293907963,
-1.459849889172577,
1.4580013182065084,
1.2356297707224817,
-1.1060741089989197,
0.8468506728280528,
-0.05234077953846768,
-0.43732788831406605,
0.5171899953553162,
-0.6526794914556634,
0.0810737453704696,
-0.19532620689083113,
0.1603914522341073,
0.23253106854741273,
... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
b72451fd8beb69606a84f4be9a392c11 | 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": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 4, "source": 2, ... | {"states": [0, 1], "expectation_value": -12.080944227294381, "params": [0.0016, 0.2937, 0.003, 0.2859, 0.0034000000000000002, 0.3189, 0.0022, 0.2913, 0.0035, 0.2932, 0.005200000000000001, 0.23800000000000002, 0.0026000000000000003, 0.2953, 0.4038, -0.0018000000000000002, 0.0039000000000000003, 0.2797, 0.0005, 0.3099, 0... | -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) @ ... | 4 | 8 | 4 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -13.0, "smallest_bitstrings": ["11111110", "11000010", "10000010"], "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 |
be472b2016026c5093c540b6b797236b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, ... | {"states": [25, 98], "expectation_value": -1.1565803200263434, "params": [[-0.0213, -0.061500000000000006, -0.06620000000000001, -0.0635], [-0.0471, 0.0531, 0.0656, 0.0671]], "bitstrings": ["1100110", "0011101"], "total_optimization_steps": 10, "probabilities": [0.014386400483205516, 0.014967977613352411], "optimizatio... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(3) + -0.5 * Z(0) + -2.0 * Z(4) + -1.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(5) + 0.0 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0101110", "1100110", "0011110", "0011101"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.11165047736061574) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.11165047736061574) q[4];
cx q[3], q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.11165047736061574) q[1];
cx q[3], q[1];
rz(0.6801004226265079) q[3];
rx(1.8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZZIII",
"IIZIIIZ",
"IIIZIZI",
"IIZIIZI",
"IIZIZII",
"IIIIZZI",
"IZZIIII",
"IZIIZII",
"ZZIIIII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-2,
-1,
-1,
-1,
0
] | 0.949988 | [
0.11165047736061574,
0.6801004226265079,
-1.2793669971327344,
1.906877128597564,
-0.2048939820595919,
1.8032456787499715,
-0.5439094982994973,
0.94195206775595,
0.8232072892909775,
-1.3535390962714295,
0.5164659028424529,
-0.8711557630337686,
2.0150652390121726,
-0.5314133466484031,
3.15... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 500 |
-8037084758004761193 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 5], [0, 3, 4, 6], [8, 0, 6, 7], [8, 2, 4, 6], [4, 5], [4, 6, 7], [1, 2, 4, 7], [8, 3]]} | {"states": [51, 370], "expectation_value": -1.9001869309566282, "params": [[[1.5729, 1.5156], [0.0211, 1.5115], [-1.5469000000000002, 1.6687], [-0.031, 1.481], [0.1839, -0.1816], [1.5661, 1.5799], [1.5718, -0.5019], [1.5719, -1.1172], [1.5728, 1.5675000000000001]]], "bitstrings": ["111001100", "010001101"], "total_opti... | 0.5 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(6) @ Z(4)) + 0.5 * (Z(8) @ Z(3)) + 0.08333333333333333 * (Z(8)... | 15 | 9 | 1 | {"smallest_eigenvalues": [-2.666666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["010001101"], "largest_eigenvalue": 6.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.5038544324357357) q[0];
ry(1.3984490022716651) q[1];
ry(-1.3719012894850133) q[2];
ry(-1.4952613349403965) q[3];
ry(1.5173473818869316) q[4];
ry(1.5454536807622363) q[5];
ry(1.5845684838091842) q[6];
ry(1.6657550609667433) q[7];
ry(1.537863400781071) q[8];
cx q[8],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIZIZIII",
"IIIIIZIIZ",
"IIIZZIIII",
"IIIIZZIII",
"IIIIZIIIZ",
"IIZIIZIII",
"IIZIIIIIZ",
"IIZIZIIII",
"ZIIIIZIII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"ZIZIIIIII",
"IZIIIIIIZ",
"IZIIZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIZIZII",
"IIZIIIZII",
"ZIIIIIZII",
"IZIIIIZII",
"IIIIZIIZI",
"... | [
0.5,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.3333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.25,
0.25,
0.08333333333333333,
0.16666666666666666,
0.08... | 0.97525 | [
1.5038544324357357,
1.3984490022716651,
-1.3719012894850133,
-1.4952613349403965,
1.5173473818869316,
1.5454536807622363,
1.5845684838091842,
1.6657550609667433,
1.537863400781071,
1.5494326890576418,
1.6390674001024044,
1.511633594015111,
1.646010947668437,
-1.5178826587309648,
1.526209... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -2.666666666666666,
"target_ratio": 0.97,
"target_value": -2.586666666666666
} | 50 |
7f91a9b9f5daf68d633abcc66c01bb4e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": ... | {"states": [0, 256], "expectation_value": -14.773828816986587, "params": [0.004, 0.0006000000000000001, 0.0017000000000000001, 0.0058000000000000005, 0.0027, -0.001, 0.2008, 0.2074, 0.0, 0.0046, 0.0036000000000000003, 0.0028, 0.0025, 0.0058000000000000005, 0.0027, 0.0045000000000000005, 0.0016, -0.0023, 0.0051, -0.0006... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(11) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(11)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(7)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(8) @ Z(1)) + -0.25 * (Z(8) @ Z(7)) + -0.25 * (Z(8) @ Z(4)) + -1.0 * (Z(9) @ Z(1)) + -0.25 * (Z(9)... | 14 | 12 | 4 | {"smallest_eigenvalues": [-15.25, -15.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.25, "smallest_bitstrings": ["100000000000", "111011111111"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.06610792122589625) q[0];
rz(pi/2) q[0];
ry(-0.07737668169930721) q[1];
ry(0.03458255785200558) q[2];
ry(0.5764400114149477) q[3];
ry(-0.008216812805026941) q[4];
ry(-0.0817567319147531) q[5];
ry(-0.09308662308768967) q[6];
ry(0.03458255785200558) q[7];
ry(-0.13089... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIZIIIIIIZ",
"ZIIIIIIIIIIZ",
"IIIIIIIZIIZI",
"IIIIZIIZIIII",
"ZIIIIIIZIIII",
"IIIIIZIIIIZI",
"IIIIZZIIIIII",
"IIIIIZIZIIII",
"IIIZIIIIIIZI",
"IIIZZIIIIIII",
"IIIZIIIZIIII",
"IIZIIIIIIIZI",
"IIZIIIIZIIII",
"IIZZIIIIIIII",
"IIIIIIZIIIZI",
"IIIIIIZZIIII",
"IIIIIZZII... | [
-0.5,
-0.5,
-0.25,
-0.25,
-1,
-0.5,
-0.25,
-1,
-0.25,
-0.5,
-0.25,
-0.25,
-1,
-0.25,
-0.75,
-0.25,
-0.25,
-1,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
1.5,
-0.5,
-0.5,
-0.25,
-0.75,
-0.5,
-0.5,
-0.75,
0.25,
-0.25,
-0.5,
-0.25,
0.75,
0.5,... | 0.975969 | [
0.06610792122589625,
-0.07737668169930721,
0.03458255785200558,
0.5764400114149477,
-0.008216812805026941,
-0.0817567319147531,
-0.09308662308768967,
-0.13089829154969476,
-0.2731697684670594,
0.1540113273563411,
-0.020664828254813028,
0.18651506330116524,
-0.22110352427756425,
-0.07891838... | {
"n_parameters": 158,
"n_qubits": 12,
"optimal_eigenvalue": -15.25,
"target_ratio": 0.97,
"target_value": -14.7925
} | 12 |
d64cdfb0330688360d8e7e9aacc7d340 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "ta... | {"states": [224, 225], "expectation_value": -2.8566289425213887, "params": [0.8023, -0.0025, 0.8114, 0.0002, 0.8011, 0.00030000000000000003, 0.5178, 0.1784, 0.3181, 0.2817, 0.1005, -0.3743, 0.3013, -0.1259, 0.8092, 0.0137, 0.8048000000000001, -0.0024000000000000002, 0.811, -0.0007, 0.8048000000000001, -0.0007, 0.481600... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + -1.0 * Z(5) + -0.5 * Z(0) + -0.5 * Z(6) + -1.0 * Z(3) + 0.0 * Z(1) + -0.5 * Z(2) + -1.0 * Z(4) + -0.5 * Z(7) | 4 | 8 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["10110001", "01001110", "00011110"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.10233588057642375) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.10233588057642375) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.10233588057642375) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.10233588057642375) 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[... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIZ",
"IZIIIIIZ",
"IIZIZIII",
"IIIIZIZI",
"IIZIIZII",
"IIIZZIII",
"IIIZIZII",
"ZZIIIIII",
"ZIIZIIII",
"IIZIIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIZIII",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-1,
0,
-0.5,
-1,
-0.5
] | 0.970148 | [
-0.10233588057642375,
-1.972954297576704,
-2.3850419836234593,
-1.297796695472286,
-0.8416997263869539,
1.0253532726422685,
-0.7924832909763568,
-0.384709670388384,
0.4953370609194741,
0.9148457820585352,
0.0481164808355527,
0.10362743334425072,
0.42933531128712676,
-1.5105622714494802,
... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -69,
"target_ratio": 0.97,
"target_value": -66.92999999999999
} | 81 |
e53cb8f4c01215a92abcc341cc031dbc | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [183, 167], "expectation_value": -54.640618279378494, "params": [0.0097, -0.0008, -0.0038, -0.0028, 0.2717, -0.019200000000000002, 1.1034000000000002, 1.1017000000000001, 0.7232000000000001, 0.7158, 1.1007, 1.095, 0.6756, 1.0871, 0.1092, -0.091, 1.1065, 1.1073, 0.6042000000000001, 0.525, 1.1051, 1.1058000000... | 8.0 * (Z(1) @ Z(3)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(0) @ Z(8)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(9) @ Z(6)) + 8.0 * (Z(2) @ Z(10)) + 7.0 * Z(3) + -5.5 * Z(1) + 3.0 * Z(4) + 7.5 * Z(5) + 2.5 * Z(6) + 8.5 * Z(8) + -4.5 * Z(0) + -6.0 * Z(7) + 0.0 * Z(9) + -1.5 * Z(10) + -4.5 * Z... | 14 | 11 | 1 | {"smallest_eigenvalues": [-100.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -94.5, "smallest_bitstrings": ["11101011000"], "largest_eigenvalue": 86.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.18579779839739174) q[0];
rz(pi/2) q[0];
ry(0.0007649140837119942) q[1];
ry(-0.24507890388446518) q[2];
ry(1.7806517931685808) q[3];
ry(-0.11307219057197679) q[4];
ry(1.6506750586643162) q[5];
ry(-0.11050588729224753) q[6];
ry(-0.1889484212216327) q[7];
ry(1.20261... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZI",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIZIIIIIIIZ",
"IIZZIIIIIII",
"IZIIZIIIIII",
"ZIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIIIIIZI",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IIZIIIIIIII",
"IIIIIIIIIIZ",
"IIIZIIIIIII",
"IZIIIIIIIII",
"ZIIIIIIIIII",
"IIIIIIIIZ... | [
8,
8,
8,
8,
8,
8,
8,
8,
7,
-5.5,
3,
7.5,
2.5,
8.5,
-4.5,
-6,
0,
-1.5,
-4.5
] | 0.97168 | [
-0.18579779839739174,
0.0007649140837119942,
-0.24507890388446518,
1.7806517931685808,
-0.11307219057197679,
1.6506750586643162,
-0.11050588729224753,
-0.1889484212216327,
1.202613213867784,
0.396393313453452,
1.1431891670544825,
0.380783645579572,
1.422513635062331,
0.2523229431690061,
... | {
"n_parameters": 44,
"n_qubits": 11,
"optimal_eigenvalue": -100.5,
"target_ratio": 0.97,
"target_value": -97.485
} | 40 |
-8581647089214385549 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 2, 4, 6], [8, 5], [2, 3, 4, 5, 9], [0, 1, 6, 8, 9], [0, 1, 2, 5], [0, 1, 2, 3, 7], [0, 1, 2, 6, 7], [8, 3, 6], [3, 4, 6], [8, 1, 2, 4], [0, 4], [0, 1, 2, 7, 8, 9], [1, 3, 5, 7, 9], [0, 8, 3, 7], [8, 2, 4, 7]]} | {"states": [971, 963], "expectation_value": -3.4860447295617614, "params": [1.6798000000000002, 0.30460000000000004, 1.4555, 0.004200000000000001, 1.8817000000000002, 0.44120000000000004, 1.2036, 0.0024000000000000002, 1.8834000000000002, 0.3911, 1.249, 0.0041, 1.8872, 0.372, 1.2174, 0.0019, 0.1562, 0.8171, 0.1305, 0.0... | 0.2833333333333333 * (Z(8) @ Z(2)) + 0.3 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(8)) + 0.13333333333333333 * (Z(6) @ Z(2)) + 0.3 * (Z(6) @ Z(8)) + 0.25 * (Z(6) @ Z(4)) + 0.13333333333333333 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(8)) + 0.05 * (Z(5) @ Z(4)) + 0.1 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(8)) + 0.21666666666666667 * (Z(3)... | 5 | 10 | 1 | {"smallest_eigenvalues": [-3.583333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0000111100"], "largest_eigenvalue": 14.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.6072725215535377) q[0];
rz(0.28784324556639884) q[0];
rx(1.8199320880032266) q[1];
rz(0.34725493975071453) q[1];
rx(2.140032162817045) q[2];
rz(0.5208602310833821) q[2];
rx(1.9634753603045147) q[3];
rz(0.6753108604151263) q[3];
rx(-0.040659512131118535) 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": []} | [
"IZIIIIIZII",
"IIIIIZIZII",
"IZIIIZIIII",
"IIIZIIIZII",
"IZIZIIIIII",
"IIIZIZIIII",
"IIIIZIIZII",
"IZIIZIIIII",
"IIIIZZIIII",
"IIIIIIZZII",
"IZIIIIZIII",
"IIIIIZZIII",
"IIIZIIZIII",
"IIIIZIZIII",
"ZIIIIIIZII",
"ZZIIIIIIII",
"ZIIIIZIIII",
"ZIIZIIIIII",
"ZIIIZIIIII",
"ZIIIIIZIII"... | [
0.2833333333333333,
0.3,
0.25,
0.13333333333333333,
0.3,
0.25,
0.13333333333333333,
0.5,
0.05,
0.1,
0.25,
0.21666666666666667,
0.3333333333333333,
0.1,
0.08333333333333334,
0.08333333333333334,
0.05,
0.05,
0.1,
0.1,
0.21666666666666667,
0.16666666666666669,
0.5,
0.1,
... | 0.970934 | [
1.6072725215535377,
0.2724531705229009,
1.8199320880032264,
0.3436645021858781,
2.140032162817045,
0.5304325133738533,
1.963475360304515,
0.7116501558046148,
-0.04065951213111853,
0.5069988865705446,
-0.10939746809357051,
0.7590955832233681,
1.4214892617168815,
-0.11578107438326687,
0.38... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -3.583333333333333,
"target_ratio": 0.97,
"target_value": -3.475833333333333
} | 52 |
6e246b4f8b043e471629ebc1af4389e8 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capac... | {"states": [0, 1], "expectation_value": -19.853808062142207, "params": [0.0037, 0.5135000000000001, 0.0027, 0.5854, 0.0023, 0.4731, 0.0024000000000000002, 0.4928, 0.0022, 0.5448000000000001, 0.0024000000000000002, 0.6083000000000001, 0.0049, 0.2187, 0.0029000000000000002, 0.5984, 0.0029000000000000002, 0.595, 0.8032, 0... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(3)) + -0.5 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(3)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ ... | 4 | 10 | 2 | {"smallest_eigenvalues": [-22.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.25, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 21.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.01194634455735062) q[0];
rz(1.9666572485632763) q[0];
rx(0.04982255008638896) q[1];
rz(2.1552667763161146) q[1];
rx(-0.020238097431915167) q[2];
rz(2.140479315574801) q[2];
rx(0.060897460338071176) q[3];
rz(2.129942709790207) q[3];
rx(0.24757906942032043) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIZIIIIIIZ",
"IIZIIIIZII",
"IIZIIIZIII",
"IZIIIIIIZI",
"IZIIIIIIIZ",
"IZIIIIZIII",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIZIIZIIII",
"IZIIIZIIII",
"IIIIZIIIZI",
"IIIIZIIZII",
"IIIIZIZIII",
"IZIIZIIIII",
"IIIIZZIIII"... | [
-0.25,
-0.5,
-1,
-0.75,
-0.5,
-1,
-0.75,
-0.75,
-0.5,
-0.5,
-0.75,
-0.5,
-1,
-0.25,
-1,
-0.25,
-1.75,
-1.25,
-1.5,
-0.25,
3.25,
-1,
-0.25,
-1.25,
-0.5,
-1,
-0.75,
-0.75,
0.75,
-0.25,
-0.5,
-1.5,
0.5,
-2.75,
-1,
2.75,
1.25,
0.75
] | 0.978181 | [
-0.01194634455735062,
0.39586092176837867,
0.04982255008638896,
0.5844704495212175,
-0.02023809743191517,
0.5696829887799048,
0.06089746033807117,
0.5591463829953099,
0.24757906942032043,
0.518638731444471,
0.6253626135005458,
0.07787707616258617,
0.010719341809845045,
0.11852702364665561,... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -22.25,
"target_ratio": 0.97,
"target_value": -21.5825
} | 9 |
50ae2479d5601754158b9fc59193bb01 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 2}, {"weight": 20, "source": 1, "target": 3}, {"weight": 17, "source": 1, "target": 5}, {... | {"states": [119, 117], "expectation_value": -65.14975773779948, "params": [0.29100000000000004, -0.36460000000000004, 1.0658, 0.002, 1.0622, -0.0063, 1.0736, 0.14880000000000002, 0.28600000000000003, 0.4007, 1.0685, 0.056, 0.5726, 0.4141, 1.0799, 0.061900000000000004, 0.2904, -0.3714, 1.0715000000000001, 0.0086, 1.0699... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 17.5 * Z(1) ... | 18 | 8 | 3 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["10001010"], "largest_eigenvalue": 152.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.8641516243728328) q[0];
rz(0.12726576765066508) q[0];
ry(0.7102320564934299) q[1];
ry(0.22422525448080505) q[2];
ry(-0.026146315359939894) q[3];
ry(0.6080971468829723) q[4];
ry(0.782750503349865) q[5];
ry(-0.08643926721123996) q[6];
ry(-0.03991970599118564) q[7];
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[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIZII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIZIII",
"IZZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
17.5,
6,
18,
20.5,
5.5,
17,
9,
3
] | 0.971114 | [
0.8641516243728328,
0.7102320564934299,
0.22422525448080505,
-0.026146315359939894,
0.6080971468829723,
0.782750503349865,
-0.08643926721123996,
-0.03991970599118564,
0.25453153530133016,
0.46343250275949954,
-0.08223540585418547,
0.073471514791184,
0.3957229011270565,
0.14637513115560807,... | {
"n_parameters": 57,
"n_qubits": 8,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 7 |
6512650cf6e89a13be11a148f896da5d | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [86, 70], "expectation_value": -3.244658899586529, "params": [0.6094, 0.0013000000000000002, -0.021, 0.3523, 0.5011, 0.2489, -0.0171, 0.3371, 0.5599000000000001, 0.1953, 0.603, 0.0039000000000000003, -0.019, 0.3607, 0.6023000000000001, 0.001, -0.0194, 0.3623, 0.5043, 0.2763, -0.0198, 0.34690000000000004, 0.5... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.5 * Z(1) + -1.0 * Z(2) + -1.0 * Z(4) + -1.5 * Z(6) + 0.0 * Z(5) | 3 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011101", "0111010", "0111001", "1100101", "0101101"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.183297687329079) q[0];
rz(-0.03664039058173074) q[0];
rx(0.1260084799916275) q[1];
rz(0.8472975682950814) q[1];
rx(0.1212579490174453) q[2];
rz(-0.002983955011109707) q[2];
rx(-0.14987668680080724) q[3];
rz(0.7146256211124697) q[3];
rx(1.0460298228262972) 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": []} | [
"IIIZIIZ",
"IIIZIZI",
"IIIIZZI",
"IIZZIII",
"IIZIIZI",
"IIZIZII",
"ZIIZIII",
"ZIIIIZI",
"ZIIIZII",
"ZZIIIII",
"IIIZIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1.5,
-1,
-1,
-1.5,
0
] | 0.972407 | [
1.183297687329079,
0.11165584030740083,
0.1260084799916275,
0.5578048984124397,
0.12125794901744529,
0.09852660045503009,
-0.14987668680080726,
0.5980883483780792,
1.0460298228262972,
0.04247638264942648,
0.9661083981195688,
-0.23005470247308346,
-0.14241558920246883,
0.2010463011399342,
... | {
"n_parameters": 58,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 14 |
67d852809baf0651ea3dedb7fac8d194 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 5, "target": 6}, {"sour... | {"states": [249, 248], "expectation_value": -2.768579259019214, "params": [[0.1555], [-0.1461]], "bitstrings": ["00000110", "00000111"], "total_optimization_steps": 20, "probabilities": [0.012690894485466054, 0.013201627533722692], "optimization_time": 2.863316059112549} | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + -1.5 * Z(6) + -1.5 * Z(5) + -1... | 1 | 8 | 1 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["00000111"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.786753352297071) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.17364622921274397) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(-0.786753352297071) q[2];
cx q[1], q[2];
rz(-1.0524566129269461) q[3];
cx q[0], q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x1) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(x2) q[3];
cx... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIZI",
"IIIZIZII",
"IZZIIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-2,
0.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5
] | 0.522819 | [
-0.786753352297071,
-0.17364622921274397,
-1.0524566129269461,
-0.9420242237336858
] | {
"n_parameters": 4,
"n_qubits": 8,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 126 |
3046805216722479094 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 6], [2, 6], [2, 3], [3, 5], [0, 1], [6, 7], [5, 7], [3, 4], [0, 2], [0, 3], [1, 5], [1, 3], [4, 5], [3, 6], [2, 5], [0, 5], [1, 6], [2, 4]]} | {"states": [105, 121], "expectation_value": -3.5668113404559145, "params": null, "bitstrings": ["10010110", "10000110"], "total_optimization_steps": 65, "probabilities": [0.23672595336716076, 0.5888050296100024], "optimization_time": 89.79793930053711} | 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -3.0, "smallest_bitstrings": ["11101001", "10000110", "01111001", "10010110", "00010110", "10001110", "01101001", "01110001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7738281553505169) q[0];
h q[1];
ry(0.7548458470611412) q[1];
ry(-3.062675757559924) q[2];
rz(-pi) q[2];
h q[3];
h q[4];
ry(0.7948166752166657) q[4];
h q[5];
ry(-0.146710193036407) q[5];
cx q[3], q[5];
ry(0.146710193036407) q[5];
cx q[3], q[5];
ry(-0.363764... | 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[3], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IZIZIIII",
"IZIIIZII",
"IIIZIZII",
"IZIIZIII",
"IIIZZIII",
"IIIIZZII",
"IIZZIIII",
"IIZIIZII",
"IIZIZIII",
"IIIIIZIZ",
"IIIIZIIZ",
"IIZIIIIZ",
"IZIIIIZI",
"IIIIZIZI",
"IIZIIIZI",
"IIIIIIZZ",
"ZZIIIIII",
"ZIZIIIII",
"IZIIIIII",
"IIIZIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIII... | [
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
] | 0.979078 | [
-0.293420386072814,
1.3548648013991325,
1.5896333504333313,
-1.1855947184459545,
1.5096916941222824,
-0.7275292120324451,
1.3634838231102933,
-1.5476563107010337,
0.14919925192079528,
0.2567912153094686,
-0.024020423684554645,
0.12671046550247522,
-0.26934929288203463,
0.2221757020094925,
... | {
"n_parameters": 46,
"n_qubits": 8,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 21 |
16efd0d1722058bdcecd0a47f621047a | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 5}, {"weight": 17, "source": 0, "target": 4}, {"weight": 14, "source": 1, "target": 2}, {"weight": 1... | {"states": [126, 122], "expectation_value": -9.150750112955343, "params": [[-0.0471], [0.058100000000000006]], "bitstrings": ["10000001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.006399872989232427, 0.007187574375833259], "optimization_time": 2.464794397354126} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(1)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) @ Z(4)) + 3.5 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-66.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 150.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2320663891682014) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.2320663891682014) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.2320663891682014) q[3];
cx q[0], q[3];
rz(-0.8149595538532273) q[0];
rx(-1.000242445136427) q[0];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1],... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
15.5,
10.5,
15,
14,
15,
4,
14,
10
] | 0.769935 | [
0.2320663891682014,
-0.8149595538532274,
0.0868387816876093,
-1.000242445136427,
1.281262008060064,
-1.253765500090689,
-0.48859011360813015,
0.47033374606546463,
-2.483859814368198,
-0.4210188815319589
] | {
"n_parameters": 10,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 289 |
a73d5144e4a0dbb06df04c44f8a80ad3 | 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": 0, "target": 3}, {"source": 0, "target": 4},... | {"states": [0, 799], "expectation_value": -26.42864370814166, "params": [0.0046, 1.9936, -0.0061, 0.0035, -0.5127, 2.2390000000000003, -0.5097, 0.0045000000000000005, -0.8380000000000001, 0.9538000000000001, 0.2723, 0.008, 0.0021000000000000003, 2.0368, -0.0034000000000000002, 0.0059, -0.0027, 1.0644, 0.0028, 0.0096000... | 1.5 * (Z(0) @ Z(3)) + -2.5 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(8)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + -2.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(7)) + -1.5 * (Z(10) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -... | 6 | 11 | 1 | {"smallest_eigenvalues": [-31.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["10011100000"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.016240434373659882) q[0];
rz(-2.23742848534849) q[0];
rx(-0.5883216627178139) q[1];
rz(-1.5700546078988857) q[1];
rx(-2.7243642885824313) q[2];
rz(1.2192087958371474) q[2];
rx(0.029904488421956733) q[3];
rz(-2.436878461202106) q[3];
rx(-0.04019090876770859) 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[... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IIIIIIZZIII",
"IIIIIIZIIIZ",
"IIIIIZIZIII",
"IIIIIZIIIIZ",
"IIIIIZZIIII",
"IIZIZIIIIII",
"IIZZIIIIIII",
"IIIZZIIIIII",
"IZZIIIIIIII",
"IZIIZIIIIII",
"IZIZIIIIIII",
"ZIIIIIIIIZI",
"IIIIIIIIZZI",
"ZIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIIIIIIZ",
"IIIIIIZIIII",
"IIIIIZIII... | [
1.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2,
-2,
0.5,
-2,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
-2,
-2,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.971283 | [
-0.016240434373659882,
2.4749604950361994,
-0.5883216627178139,
3.142334372485804,
-2.7243642885824313,
-0.35158753095775064,
0.029904488421956726,
2.2755105191825833,
-0.04019090876770859,
0.20324162957069417,
-0.04963837048813289,
1.2875710257338486,
-2.2753433571675465,
-0.1606791289036... | {
"n_parameters": 53,
"n_qubits": 11,
"optimal_eigenvalue": -31.5,
"target_ratio": 0.97,
"target_value": -30.555
} | 132 |
5d4156bcf03d96be249adb6f40939435 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 5}, {"weight": 17, "source": 0, "target": 4}, {"weight": 2, "source": 2, "targ... | {"states": [219, 218], "expectation_value": -30.53233534068165, "params": [[-0.034, 0.0068000000000000005, 0.0014], [0.0668, 0.0599, 0.0687]], "bitstrings": ["100100100", "100100101"], "total_optimization_steps": 10, "probabilities": [0.008149335743487428, 0.010249510847722755], "optimization_time": 6.950965881347656} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-89.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 173.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027343399219059546) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.027343399219059546) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.027343399219059546) q[2];
cx q[0], q[2];
rz(1.0532120961901006) q[0];
rx(1.3492354281853987) q[0];
h q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIIZII",
"IIIZZIIII",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIIIZII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
17.5,
4,
22.5,
18,
1,
15,
14.5,
13.5,
0
] | 0.970304 | [
0.027343399219059546,
-1.6870621356962872,
1.0532120961901008,
-1.666563796078019,
-1.6741380226720057,
1.5343275272501065,
-1.6148629270271109,
0.41011511092221453,
-1.7980220800840707,
1.5537144309532576,
1.3492354281853984,
-0.08345815635865424,
0.7143590988244952,
1.4436025410262452,
... | {
"n_parameters": 31,
"n_qubits": 9,
"optimal_eigenvalue": -89.5,
"target_ratio": 0.97,
"target_value": -86.815
} | 61 |
ca80a1081391714ec98f68c48872633f | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 4... | {"states": [1, 21], "expectation_value": -4.855098008600605, "params": null, "bitstrings": ["1111110", "1101010"], "total_optimization_steps": 32, "probabilities": [0.20447398014986273, 0.6556482078186285], "optimization_time": 25.57020378112793} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * (Z(4) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + 0.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(2) + 0.25 * Z(5) + 0.25 * Z(4) + 0.25 * Z(6) + -... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000000", "1111110", "1101010"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.1687906414607295) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.03011574609962077) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(0.07378267174157299) q[5];
cx q[1], q[5];
rz(1.0752020301122274) q[1];
rx(-1.5815568... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.5626) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... | [
"IIIIIZZ",
"IIIIZIZ",
"IZIIIZI",
"IZIIZII",
"IIZIZII",
"ZIIIIIZ",
"ZIIIZII",
"IZIZIII",
"IIZZIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIZIIII",
"ZIIIIII",
"IIIZIII"
] | [
-0.25,
-0.5,
-0.75,
-0.25,
-1.5,
1,
-0.5,
-0.75,
-0.25,
-0.25,
0,
-0.25,
0.25,
0.25,
0.25,
0.25,
-0.75
] | 0.969704 | [
-0.1687906414607295,
0.03011574609962077,
0.07378267174157299,
-0.07442929425137337,
0.14029338596054416,
1.0752020301122276,
1.2905015656937975,
-1.581556863044307,
-0.6601184714021492,
0.18906633086427665,
0.010349996280108478,
0.283721497150828,
1.0085271543039225,
1.5874609337062044,
... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 500 |
498c2fd9e76b7ac4e460fcdbb1a3e154 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"sour... | {"states": [54, 53], "expectation_value": -5.869079661236784, "params": [-0.003, 0.7355, 0.6413, -0.0034000000000000002, 0.1773, -0.0039000000000000003, 1.6082, 0.0035, 1.6084, 0.0038, 0.2028, 0.0036000000000000003, 1.6076000000000001, -0.0033, 1.6047, 0.0012000000000000001, 1.5978, 0.0001, -0.0033, -0.6917, -0.1811, 1... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(6) ... | 4 | 9 | 1 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["111001010", "101001011"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.18057356679220063) q[0];
rz(2.894339612653951) q[0];
rx(0.03944864168909914) q[1];
rz(1.8706061073772204) q[1];
rx(-0.4051184072187223) q[2];
rz(2.158148405440704) q[2];
rx(1.6004546496910141) q[3];
rz(1.7080003979465754) q[3];
rx(-2.7171314903553316) q[4];
rz(1.8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZIZIII",
"IZIIIIIIZ",
"IZIIZIIII",
"IIIIIIZZI",
"IZIIIIIZI",
"ZIIIIIZII",
"ZIIZIIIII",
"ZZIIIIIII",
"ZIIIIIIZI",
"IIZIIIZII",
"IIZZIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-2,
-1,
-0.5,
-1.5,
-1.5,
-1,
-1.5,
-0.5
] | 0.972503 | [
-0.1805735667922006,
1.3235432858590557,
0.03944864168909914,
0.2998097805823239,
-0.4051184072187223,
0.5873520786458069,
1.6004546496910141,
0.13720407115167868,
3.566053816824255,
0.24550865980224007,
0.11757990417454899,
-0.2492536019668349,
3.2925800252691544,
-1.4718880040852087,
2... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 24 |
921479f58efe64e2060ecee8a590e959 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 8}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 2, "s... | {"states": [442, 255], "expectation_value": -0.013988952159599638, "params": [[0.1454, 0.0172, -0.1514, 0.1748, -0.1139, 0.1839, -0.16670000000000001, -0.1479, -0.1292], [0.1877, -0.1453, -0.0006000000000000001, -0.0313, -0.0018000000000000002, 0.10990000000000001, 0.0071, 0.14120000000000002, 0.1865], [-0.1507, 0.1905... | 0.25 * (Z(0) @ Z(8)) + -0.5 * (Z(1) @ Z(8)) + -0.5 * (Z(6) @ Z(8)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(8)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(1... | 9 | 9 | 4 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[8], q[0];
rz(-0.46842544332937147) q[0];
cx q[8], q[0];
rz(0.004089354776996235) q[0];
rx(-1.4500809729158126) q[0];
cx q[8], q[1];
rz(-0.0023118952614940014) q[1];
cx q[8], q[1];
cx q[8], q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"ZIIIIIIIZ",
"ZIIIIIIZI",
"ZIZIIIIII",
"IIZIIIIZI",
"ZZIIIIIII",
"IZIIIIIZI",
"IZZIIIIII",
"IZIIIIZII",
"ZIIIIZIII",
"IIZIIZIII",
"IIIIIZZII",
"IZIIZIIII",
"ZIIZIIIII",
"IIIZIIIZI",
"IIZZIIIII",
"IZIZIIIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"ZIIIIIIII",
"IIIIIIIIZ",
"... | [
0.25,
-0.5,
-0.5,
-1,
-0.5,
-0.25,
-0.5,
-0.75,
-0.5,
-0.5,
-0.5,
-0.75,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-2.25,
-0.25,
0.25,
1.25,
-1.25,
0.25,
-1,
0,
3
] | 0.793137 | [
-0.46842544332937147,
-0.0023118952614940014,
-1.6382083687840676,
0.004089354776996218,
-0.02684876344883808,
-1.57569572524247,
-1.3113526099661215,
-1.5684994150240457,
-1.5661579311887162,
1.57184561806844,
-1.4500809729158126
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 250 |
7e799239f8573f120a2c5e15cda2e88f | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}]} | {"states": [0, 8], "expectation_value": -2.746010950493092, "params": null, "bitstrings": ["1111", "0111"], "total_optimization_steps": 8, "probabilities": [0.0039434487441986675, 0.9960271124624693], "optimization_time": 3.375114679336548} | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + -0.75 * Z(1) + -0.75 * Z(2) + -0.25 * Z(0) + -1.0 * Z(3) | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["0111"], "largest_eigenvalue": 4.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.013661432647873829) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.47799463725369296) q[1];
h q[2];
ry(1.609883237122917) q[2];
h q[3];
ry(1.609883237122917) q[3];
h q[4];
cx q[4], q[1];
ry(0.47799463725369296) q[1];
cx q[4], q[1];
ry(-0.6440649203767641) q[1];
ry(0.9857223264... | 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(-1.5681) q[3];\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];\... | [
"IZZI",
"IIZZ",
"IZIZ",
"IZZZ",
"ZIIZ",
"IIZI",
"IZII",
"IIIZ",
"ZIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.75,
-0.75,
-0.25,
-1
] | 0.994711 | [
-1.5961244559276881,
1.609883237122917,
-0.9559892745073859,
0.7778346010594781,
-0.4321667361998622,
0.4157754507244771,
-0.42379636835380385,
0.245207488748664,
-0.0379388834944252,
0.03472662903914467,
0.0730459640739915,
0.07797912356133081,
-0.0856693429277921
] | {
"n_parameters": 13,
"n_qubits": 5,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 1 |
43f346f2449aaad74bd3d1617b2cab32 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [21, 22], "expectation_value": -3.4999003241120192, "params": null, "bitstrings": ["101010", "101001"], "total_optimization_steps": 26, "probabilities": [1.7187859465320965e-05, 0.9999500713236515], "optimization_time": 16.888139724731445} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["101001", "110010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.4099597405997399) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.4099597405997399) q[3];
cx q[0], q[3];
rz(0.5379425344598752) q[3];
rx(-1.0181627007712197) q[3];
h q[4];
cx q[2], q[4];
rz(0.4099597405997399) q[4];
cx q[2], ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IIIZZI",
"ZZIIII",
"ZIIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0,
-1,
-0.5,
-0.5
] | 0.756698 | [
0.4099597405997399,
-0.5276923746122105,
0.5379425344598753,
-0.15590122747147514,
-1.0181627007712197,
0.9194045375777744,
-1.0915528273895585,
-0.4028415862936717,
-0.5859290117404532
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 223 |
bd450980ecb62a263062b6b855a443ea | 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": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [31, 11], "expectation_value": -0.27981001970129216, "params": [[-0.06420000000000001], [0.0736]], "bitstrings": ["1100000", "1110100"], "total_optimization_steps": 10, "probabilities": [0.009490947285378406, 0.009493893539817961], "optimization_time": 1.5782155990600586} | -1.0 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(5)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + -0.75 * Z(1) + -0.25 * Z(0) + 1.0 * Z(5) + -0.25 * Z(3) + -0.5 * Z(4) + 0.5 * Z(2) + 0.25 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["1100100", "1100000", "1110100"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.8940808328512944) q[0];
h q[1];
ry(0.041756198791205276) q[1];
h q[2];
ry(-0.03032114105568228) q[2];
h q[3];
ry(0.4442013340719362) q[3];
h q[4];
h q[5];
ry(0.8884026681438724) q[5];
cx q[5], q[1];
ry(-0.041756198791205276) q[1];
cx q[5], q[1];
ry(-0.8557... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IZIIIIZ",
"IIIZIZI",
"IZIZIII",
"IIZIIZI",
"IZZIIII",
"IIZIZII",
"ZIIIIIZ",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIZIIII",
"IIIIZII",
"ZIIIIII"
] | [
-1,
-0.25,
-0.5,
-1,
-0.25,
-0.25,
-0.5,
1.5,
-1.25,
-0.75,
-0.25,
1,
-0.25,
-0.5,
0.5,
0.25
] | 0.971173 | [
0.8884026681438724,
1.622467847555487,
-1.7881616657025887,
0.08351239758241055,
-0.1298063569670014,
0.48401841381661614,
-0.06064228211136456,
0.4944845920735319,
-0.5239031451717074,
-0.8974703140323975,
-1.005223191000236,
0.8108085797164076,
1.648602767536483,
0.2412183790864333,
0.... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 83 |
20a60ed013bc1976376f734be7d8d92c | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [47102, 47070], "expectation_value": -17.261692603887845, "params": [0.47200000000000003, -0.083, 0.21230000000000002, -0.31370000000000003, 0.6944, 0.019100000000000002, 0.7455, 0.0275, 0.2454, -0.3104, 0.7024, 0.0646, 0.7375, -0.0603, 0.5792, 0.0167, 0.6794, -0.029300000000000003, 0.6938000000000001, -0.02... | 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5... | 4 | 16 | 4 | {"smallest_eigenvalues": [-19.999999999999957], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999932, "smallest_bitstrings": ["0100100000100001"], "largest_eigenvalue": 68.00000000000024} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.354728125038139) q[0];
ry(-0.4482118389810244) q[1];
ry(1.1755110513092433) q[2];
ry(0.5002955961412344) q[3];
ry(0.16063370756801337) q[4];
ry(1.5622279807339) q[5];
ry(1.1768090945097947) q[6];
ry(1.5622279807339) q[7];
ry(1.5666955069360808) q[8];
ry(1.5127972... | 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... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 3}, {"id": 2}, {"id": 0}, {"id": 1}], "edges": [{"source": 3, "target": 2}, {"source": 3, "target": 0}, {"source": 2, "target": 1}, {"source": 0, "target": 1}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIZZIIIIII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIZIIZIIII",
"IIIIIIIIIZIZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
... | 0.972165 | [
-0.354728125038139,
-0.4482118389810244,
1.1755110513092433,
0.5002955961412344,
0.16063370756801337,
1.5622279807339,
1.1768090945097947,
1.5666955069360808,
1.5127972230668947,
-0.024986189269166677,
0.48443925419363265,
0.015176939504703403,
-0.07719483818697466,
0.3729730085267119,
0... | {
"n_parameters": 60,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999957,
"target_ratio": 0.97,
"target_value": -19.39999999999996
} | 52 |
69144809aea48cb46eae9c3950f24a15 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 2}, {"id": 0}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 0, "target": 3}]} | {"states": [2799, 2798], "expectation_value": -4.955567072324155, "params": [0.8106, 0.1673, 0.442, 0.4354, 0.8093, 0.17370000000000002, 0.5890000000000001, 0.3663, 0.8118000000000001, 0.2001, 0.6697000000000001, 0.1471, 0.8279000000000001, 0.0733, 0.3997, 0.3558, 0.8065, 0.1648, 0.6505000000000001, -0.0139000000000000... | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * ... | 16 | 12 | 4 | {"smallest_eigenvalues": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -5.25, "smallest_bitstrings": ["010001010100", "010001010001", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.12397642308111168) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.12397642308111168) q[0];
cx q[1], q[0];
rz(-1.0412824378997723) q[0];
rx(-0.6835570607299903) q[0];
rz(0.6551677416149957) q[1];
rx(-0.6835570607299903) q[1];
rz(-1.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIZZIIIIII",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIZIIZIIIIII",
"IIZIIIIIIIIZ",
"IZIIZIIIIIII",
"IZIIIIIIIIZI",
"IZZIIIIIIIII",
"ZIIZIIIII... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.75,
0.75,
0.75,
1,
1,
1,
0.75,
0.75,
0.75,
1,
1,
1
] | 0.983631 | [
0.12397642308111168,
-1.0412824378997723,
0.6551677416149958,
-0.6835570607299902,
0.023146836072959226,
-0.5048269617904716,
0.6814886991250588,
-0.7325852103426811,
0.006386053532258323,
-0.47655542685563346,
0.11597712833781966,
-0.2813397718212035
] | {
"n_parameters": 12,
"n_qubits": 3,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
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