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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
e88900ed7019a142b144e2072f00bcdb | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"sour... | {"states": [61, 189], "expectation_value": -3.1927957600672645, "params": [-0.0023, -0.0078000000000000005, 0.302, 0.3034, 0.0454, 0.0429, 0.3037, 0.2995, 0.30610000000000004, 0.30210000000000004, 0.2985, 0.2992, 0.299, 0.30110000000000003, 0.0621, 0.06520000000000001, 0.3079, 0.30460000000000004, -0.0051, -0.008700000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(8) @ Z(7)) + 0.0 * Z(3) + -1.5 * Z(0) + 0.0 * Z(4) + 0.0 * Z(5) + -1.0 * Z(7) + -1.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(8) | 13 | 9 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["101000001", "101000010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.10400383937805216) q[0];
rz(-0.4069045233585462) q[0];
rx(2.700523764850429) q[1];
rz(-0.2561381010846029) q[1];
rx(0.30186693180953467) q[2];
rz(1.0343031975732266) q[2];
rx(-3.0715241657190773) q[3];
rz(-0.1224379937764386) q[3];
rx(3.120763065444616) q[4];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IZIIIIIIZ",
"IZIIIIZII",
"IIIIIIZZI",
"IIZIIIZII",
"ZZIIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIZIIIIII",
"ZIIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1.5,
0,
0,
-1,
-1,
0,
0,
0
] | 0.972761 | [
0.10400383937805217,
-0.24221000609714896,
2.700523764850429,
0.12330051795904015,
0.30186693180953467,
0.4056531486681137,
3.2116611414605094,
-0.325264568110496,
3.120763065444616,
1.0142620733749683,
3.363767059582085,
-0.2012562650987079,
3.1743612262803986,
0.6694340858554964,
-0.17... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 24 |
c437b39b5c61c8e77af7bf4313e85ab5 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6},... | {"states": [1923, 2019], "expectation_value": -0.8636415294922766, "params": [[-0.0658], [0.06330000000000001]], "bitstrings": ["00001111100", "00000011100"], "total_optimization_steps": 10, "probabilities": [0.0007355025450901523, 0.0007593558785314667], "optimization_time": 1.795203447341919} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + -2.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(6)) + -1.5 * (Z(9) @ Z(3)) + 0.5 * (Z(10) @ Z(3)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(9)) + -1.5 * (Z(2) @ Z(10)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(5) + 0.5 * Z(4) + -1.5 * Z(7) + -1.5 * Z(6) + 1.5 * Z(8)... | 5 | 11 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["00000011100"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.5447654191062646) q[0];
rz(1.3134635289791774) q[0];
rx(-0.10514618062803524) q[1];
rz(0.9776794687851584) q[1];
rx(-1.8415324420202155) q[2];
rz(1.538903401437775) q[2];
rx(-2.3861196944063465) q[3];
rz(1.5949052326168829) q[3];
rx(2.906801139281733) q[4];
rz(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[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[5... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIZZIIII",
"IIIZZIIIIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"IZIIIIIZIII",
"ZIIIIIIZIII",
"IIIIIIIZZII",
"IZIIIIIIZII",
"ZIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIIZIIIIIII",
"IIIIZIIIIII",
"IIZIIIIIIII",
"IIIIIIIZIII",
"IZIIIIIII... | [
-1,
-1,
-2,
-2,
-2,
-1.5,
0.5,
-2,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
1.5,
0.5,
0.5,
0.5,
0.5
] | 0.971549 | [
-0.5447654191062647,
-0.25733279781572044,
-0.10514618062803527,
-0.5931168580097388,
-1.8415324420202155,
-0.03189292535712223,
-2.3861196944063465,
0.024108905821986173,
-3.3763841678978537,
-0.2224406680846017,
-2.6135709386153754,
0.027550003297560827,
-0.05650294344310562,
1.106150214... | {
"n_parameters": 53,
"n_qubits": 11,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 356 |
bbe36c72142a04c8b1698fed3f77c25c | edge_cover | 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": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [81, 83], "expectation_value": -0.30255222121456404, "params": [0.8941, 0.5844, 0.6635, 0.47100000000000003, 0.9048, -0.06960000000000001, 0.5712, -0.1952, 0.5640000000000001, -0.1832, 0.8038000000000001, -0.17200000000000001, 0.8196, 0.045000000000000005, 0.875, 0.0047, 0.623, 0.005200000000000001, 0.9069, ... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 18 | 7 | 2 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.25, "smallest_bitstrings": ["0101100", "1001001", "0100110", "1000110", "1000011", "0101001"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.016228639223514973) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.016228639223514973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.016228639223514973) q[2];
cx q[0], q[2];
rz(-1.196649630207868) q[0];
rx(1.6249956830407981) q[0];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIIZZII",
"IIZIZII",
"IIZZIII",
"IIIZZIZ",
"IIZIZIZ",
"IIZZIIZ",
"IIZZZII",
"IIZZZIZ",
"IIIIZZI",
"IZIIIZI",
"ZIIIIZI",
"IZIIZII",
"ZIIIZII",
"ZZIIIII",
"IZIIZZI",
"ZIIIZZI",
"ZZIIIZI",
"ZZIIZII",
"ZZIIZZI",
"IZIZIII",
"ZIZ... | [
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,
0.5,
0.5,
-0.125,
-0.125,
0.25,
-0.125,
-0.125,
-0.125,
-0.125
] | 0.981439 | [
-0.016228639223514973,
1.522688419965938,
-1.1966496302078677,
1.624995683040798,
-0.8755811242009026,
0.7452257823272057,
0.2393407597375708,
0.22077208961471634
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 31 |
249741342773161377 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1], [1, 3], [0, 5], [2, 4], [3, 5], [1, 5], [1, 2]]} | {"states": [19, 44], "expectation_value": -0.08783809397243887, "params": [[0.0795], [-0.0813]], "bitstrings": ["101100", "010011"], "total_optimization_steps": 10, "probabilities": [0.017678161897894496, 0.017678161897894496], "optimization_time": 1.0331416130065918} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["010011", "101100"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(0.14254077072784163) q[0];
rz(1.4698910838817332) q[0];
rx(2.2522320199077326) q[1];
rz(0.14223919146258002) q[1];
rx(0.14647619667228487) q[2];
rz(-0.8547000605139878) q[2];
rx(-0.09054991604233824) q[3];
rz(1.480259902305196) q[3];
rx(2.061676725412655) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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], q[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[1], q[5];
rz(x0) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"ZIIIZI",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.972637 | [
0.14254077072784163,
0.9982940003540091,
2.2522320199077326,
0.17255227973259685,
0.14647619667228487,
-0.42638163190984896,
-0.09054991604233825,
1.0258592607016228,
2.061676725412655,
0.07035175871534123,
3.0097640491008835,
0.6847141253556179,
0.07994849761839284,
0.9088012832071473,
... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 37 |
41c6fd253707f3493d5d4e5aa1da9109 | 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": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, ... | {"states": [11, 1], "expectation_value": -2.7017094458226296, "params": [[0.0684, 0.0446, 0.056], [-0.0765, -0.0408, -0.0449]], "bitstrings": ["11110100", "11111110"], "total_optimization_steps": 10, "probabilities": [0.009913793619934474, 0.01294220450679938], "optimization_time": 5.556600093841553} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(7) @ Z(1)) + 3.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(... | 1 | 8 | 3 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.28125291389735185) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.3738758539816298) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3738758539816298) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.28125291389735185) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIZIIIII",
"IIIIZIZI",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
-0.5,
-1,
-1,
-0.5,
-0.5,
-1,
-1,
-0.5,
-0.25,
-1,
-0.25,
-0.75,
3.25,
-0.25,
-0.25,
-1,
1.25,
-0.25,
-2,
1,
-0.5,
-1,
2.25,
-0.75
] | 0.512164 | [
-0.28125291389735185,
-0.3738758539816298,
-0.4435290057877126,
-0.2655182352206827,
0.17641094697920026,
0.5370834376657896,
-1.2333040601047265,
0.9898846684859016,
1.6266519609754448,
-1.1954762728719215
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 249 |
18a903ca122a5a524197c72c4677f0cb | 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": 4}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 5}, {"capac... | {"states": [1022, 511], "expectation_value": -24.404799083746433, "params": [[[-0.0112, 1.2741], [-0.0033, 0.020900000000000002], [-0.0027, -0.0027], [-0.0021000000000000003, -0.0029000000000000002], [-0.0024000000000000002, 0.0024000000000000002], [-0.0027, -0.0021000000000000003], [-0.0024000000000000002, -0.0023], [... | -0.25 * (Z(0) @ Z(4)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -2.5 * (Z(5) @ Z(4)) + -3.0 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(6)) + -1.0 * (Z(2) @ Z(5)) + -1.5 * (Z(8) @ Z(4)) + -1.5 * (Z(8) @ Z(1)) + -1.5 * (Z(8) @ Z(2)) + -0.5 * (Z(9) @ Z(4)) + 1.5 * (Z(9) @ Z(0... | 15 | 10 | 4 | {"smallest_eigenvalues": [-25.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.0, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 29.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.16370862108191125) q[0];
ry(0.06082291358745394) q[1];
ry(-0.007294620332288056) q[2];
ry(0.019577317775957406) q[3];
ry(0.018574490708747702) q[4];
ry(-0.007294620332288056) q[5];
ry(0.018574490708747702) q[6];
ry(-0.00863888909389911) q[7];
ry(-0.49926105936857... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} | [
"IIIIIZIIIZ",
"IIIZIIIIIZ",
"IIIZIIIIZI",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIIZIIIZI",
"IIIIIZIZII",
"IIIZIIIZII",
"IIIIZIIZII",
"IZIIIZIIII",
"IZIIIIIIZI",
"IZIIIIIZII",
"ZIIIIZIIII",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"ZZIIIIIIII",
"IIIIIZZIII",
"IIIZIIZIII",
"IZIIIIZIII",
"ZIIIIIZIII"... | [
-0.25,
-1,
-0.25,
-2.5,
-3,
-1.75,
-0.5,
-1.25,
-1,
-1.5,
-1.5,
-1.5,
-0.5,
1.5,
-1.5,
-1,
-1.25,
-0.25,
-0.25,
-0.75,
-0.5,
-1.25,
-1.75,
-0.5,
0,
-0.25,
-3,
-2.5,
-1,
2.75,
5.25,
-2.25,
-1,
2
] | 0.970855 | [
-0.16370862108191125,
0.06082291358745394,
-0.007294620332288056,
0.019577317775957406,
0.018574490708747702,
-0.00863888909389911,
-0.49926105936857085,
-0.2009657467431414,
1.4369223223899912,
-0.1395771668250909,
0.0061728647587193305,
-0.018019237033037504,
-0.05382171531210736,
-0.607... | {
"n_parameters": 64,
"n_qubits": 10,
"optimal_eigenvalue": -25,
"target_ratio": 0.97,
"target_value": -24.25
} | 90 |
e7056fbb187e68baa5d05b0b9cb6a901 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [52, 49], "expectation_value": -0.7692814894618578, "params": [[-0.068, -0.057600000000000005, -0.015600000000000001], [0.0729, 0.0746, 0.057300000000000004]], "bitstrings": ["001011", "001110"], "total_optimization_steps": 10, "probabilities": [0.02336893440799597, 0.025491682994693968], "optimization_time"... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001011", "001110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.3483964545021323) q[0];
h q[1];
ry(1.3483964545021323) q[1];
h q[2];
ry(-1.5377717834128013) q[2];
h q[3];
ry(-0.5718354355912505) q[3];
ry(-0.060597795734454125) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[3];
ry(0.5718354355912505) q[3];
cx q[5], q[3];
ry(-0.5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"IIIZZI",
"IZIIZI",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-0.5,
-1,
0
] | 0.996817 | [
-1.5377717834128013,
-1.4355349010589802,
1.3483964545021323,
-1.143670871182501,
0.7256483222204215,
-0.3397090750168832,
0.4854071333661133,
-0.3806094686092039,
0.2510875381992757,
-0.09032787450619814,
0.08059260300373108,
0.19771184529814245,
-0.14932726000292476,
-0.10015168483220893... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
7dd0a85ae083861a7e6473750beb50c4 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [716, 972], "expectation_value": -1.3092809227914102, "params": [[[0.44420000000000004, 0.1247], [0.49770000000000003, 0.0557], [0.49960000000000004, 0.4257], [0.49710000000000004, 0.4289], [0.08750000000000001, 0.43410000000000004], [0.24150000000000002, 0.0621], [0.0862, 0.5053], [0.1957, 0.1573], [0.4864,... | 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... | 15 | 10 | 4 | {"smallest_eigenvalues": [-3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -2.3125, "smallest_bitstrings": ["0001011010", "0000101101", "0011001100", "1000100101", "1000001101", "0... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-3.113092417247212) q[0];
rz(0.4880866999982407) q[0];
rx(0.38465931902777295) q[1];
rz(0.20065546137673845) q[1];
cx q[1], q[0];
rz(-0.055866517219434) q[0];
cx q[1], q[0];
rz(-0.007223024598085756) q[1];
rx(-3.0800478140916203) q[2];
rz(-0.1321662875450258) q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIZIIZZ",
"IIIIIIZZIZ",
"IIIIIZIZIZ",
"IIIIIZZIIZ",
"IIIIIIZZZI",
"IIIIIZIZZI",
"IIIIIZZIZI",
"IIIIIZZZII"... | [
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,
0.25,
0.25... | 0.976959 | [
3.170092889932375,
0.4322201827788072,
0.38465931902777295,
0.20065546137673845,
3.2031374930879664,
-0.23249401823339577,
2.9439076566432285,
0.4119475223097899,
3.0429737068572065,
0.5317571013857584,
3.2364125851665366,
-0.6315713390951732,
0.1757618025061331,
-0.09015087172883156,
-0... | {
"n_parameters": 25,
"n_qubits": 10,
"optimal_eigenvalue": -3.3125,
"target_ratio": 0.97,
"target_value": -3.213125
} | 14 |
-8536726310325090405 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 2, 4], [0, 2, 3, 5], [0, 4], [1, 3, 5]]} | {"states": [57, 60], "expectation_value": -0.03279673219542749, "params": [[0.0771], [-0.0784]], "bitstrings": ["000110", "000011"], "total_optimization_steps": 10, "probabilities": [0.0164771201691451, 0.0164771201691451], "optimization_time": 1.7323014736175537} | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.4166666666666665, -1.4166666666666665, -1.4166666666666665], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.0000000000000004, "smallest_bitstrings": ["110000", "000110", "000011"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.10996529064838054) q[0];
rz(0.2924073633771175) q[0];
rx(-0.18500203903182616) q[1];
rz(0.802814581026641) q[1];
rx(2.9894241545791282) q[2];
rz(0.09231885859569286) q[2];
rx(3.2406812536740053) q[3];
rz(-0.2867525554630239) q[3];
rx(3.044523790869313) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], ... | null | {"circuits": [], "gradients": []} | [
"IIIZZI",
"IZIZII",
"IZIIZI",
"IIIZIZ",
"IZIIIZ",
"IIZZII",
"IIZIZI",
"IIZIIZ",
"ZIIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIZIII",
"IIIZII",
"IIIIZI",
"IZIIII",
"IIIIIZ",
"IIZIII",
"ZIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.5,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.25,
0.29166666666666663,
0.3333333333333333,
0.16666666666666663,
0.1... | 0.987489 | [
-0.10996529064838054,
0.2924073633771175,
-0.18500203903182616,
0.802814581026641,
2.9894241545791282,
0.09231885859569286,
3.2406812536740053,
-0.2867525554630239,
3.044523790869313,
0.5510183337461183,
3.0110683886974487,
-0.3349542452783071
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -1.4166666666666665,
"target_ratio": 0.97,
"target_value": -1.3741666666666665
} | 13 |
8ba3b716627498c896f8e55ab6717a32 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 3, "s... | {"states": [502, 153], "expectation_value": -2.296424983412274, "params": [[-0.0801], [0.082]], "bitstrings": ["000001001", "101100110"], "total_optimization_steps": 20, "probabilities": [0.003550592251336437, 0.0035538099217849693], "optimization_time": 16.77463412284851} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + -1.25 * (Z(7) @ Z(6)) + -1.0 * (Z(8) @ Z(1)) + 4.0 * (Z(8) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["101100110"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.36629017619192517) q[0];
rz(2.6590895329145035) q[0];
rx(0.6522359773495556) q[1];
rz(2.1167059752285837) q[1];
rx(-0.02887208608601841) q[2];
rz(-3.116796008938347) q[2];
rx(-0.05697306845919328) q[3];
rz(2.648238060545589) q[3];
rx(1.3811853011744597) q[4];
rz(2.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIZIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIZIII",
"IIIIZIIZI",
"IIIIZZIII",
"IIZIZIIII",
"ZIIIZIIII",
"IIIZIZIII",
"ZIIZIIIII",
"... | [
-0.25,
-0.75,
-1,
-1.25,
-0.75,
-0.75,
-1,
-1,
-0.5,
-0.75,
-1,
-1.25,
-1,
4,
-0.25,
-1.25,
-1,
-1.25,
-1,
-0.5,
-0.75,
-0.25,
0.75,
-0.25,
0.25,
-2.5,
-4,
2,
1,
2.75,
0
] | 0.970831 | [
0.3662901761919252,
1.0882932061196073,
0.6522359773495556,
0.5459096484336865,
-0.028872086086018406,
1.5955929714463426,
-0.05697306845919328,
1.0774417337506923,
1.3811853011744597,
0.9085148071025628,
-0.1340264687407385,
0.1319224339149663,
1.245935230529323,
-0.06160287482492041,
1... | {
"n_parameters": 75,
"n_qubits": 9,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 9 |
-4817468381157363007 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[11, 10, 2, 7], [0, 3, 5, 8, 9, 10], [1, 2, 3, 4, 10], [1, 2, 6, 8, 9], [0, 1, 5, 6, 9], [0, 1, 4, 5, 8, 9, 10, 11], [0, 1, 2, 4, 5, 6, 8, 11], [3, 6], [1, 2, 4, 8, 9, 10, 11], [0, 10, 7], [3, 9, 11, 4], [0, 1, 3, 8, 9, 11], [0, 3, 7], [1, 3, 4, 9, 10], [... | {"states": [4048, 4050], "expectation_value": -4.663640176971218, "params": [1.6991, 0.0029000000000000002, 2.1645000000000003, 0.0024000000000000002, 2.2594000000000003, -0.0026000000000000003, 2.4261, -0.0022, 2.6328, 0.0024000000000000002, 3.1392, -0.5953, 4.2793, 0.0015, 3.1396, 0.0002, 0.0024000000000000002, -1.05... | 0.19166666666666665 * (Z(3) @ Z(2)) + 0.2238095238095238 * (Z(4) @ Z(2)) + 0.19166666666666665 * (Z(4) @ Z(3)) + 0.35 * (Z(9) @ Z(2)) + 0.08333333333333333 * (Z(9) @ Z(3)) + 0.13333333333333333 * (Z(9) @ Z(4)) + 0.2845238095238095 * (Z(0) @ Z(2)) + 0.1357142857142857 * (Z(0) @ Z(3)) + 0.21785714285714286 * (Z(0) @ Z(4)... | 4 | 12 | 1 | {"smallest_eigenvalues": [-4.897619047619045], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.879761904761904, "smallest_bitstrings": ["000000101101"], "largest_eigenvalue": 21.499999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(1.8077025010127161) q[0];
rz(1.612627817661818) q[0];
rx(2.3086384185653857) q[1];
rz(1.6223610211166752) q[1];
rx(2.1055173305183157) q[2];
rz(1.5205323921469658) q[2];
rx(2.340322563116573) q[3];
rz(1.6440161415984695) q[3];
rx(2.5078006201145064) q[4];
rz(1.62236... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} | [
"IIIIIIIIZZII",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIZIIIIIIZII",
"IIZIIIIIZIII",
"IIZIIIIZIIII",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIIZ",
"IIZIIIIIIIIZ",
"IIIIIIZIIZII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIZIIIZIIIII",
"IIIIIIZIIIIZ",
"IIIIZIIIIZII",
"IIIIZIIIZIII",
"IIIIZIIZI... | [
0.19166666666666665,
0.2238095238095238,
0.19166666666666665,
0.35,
0.08333333333333333,
0.13333333333333333,
0.2845238095238095,
0.1357142857142857,
0.21785714285714286,
0.3833333333333333,
0.18333333333333335,
0.11666666666666667,
0.08333333333333334,
0.21666666666666667,
0.4,
0.0511... | 0.974289 | [
1.8077025010127161,
0.0418314908669214,
2.3086384185653857,
0.05156469432177868,
2.1055173305183157,
-0.05026393464793086,
2.340322563116573,
0.07321981480357283,
2.5078006201145064,
3.104736825304616,
-0.4895074838534158,
4.359831306603472,
0.2170685955163577,
3.2174836070997674,
0.0887... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -4.897619047619045,
"target_ratio": 0.97,
"target_value": -4.750690476190474
} | 11 |
6316847380063996466 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 7], [0, 5], [0, 1], [1, 2], [0, 4], [4, 6], [8, 1]]} | {"states": [327, 357], "expectation_value": -0.06754907479848869, "params": [[0.0697], [-0.0704]], "bitstrings": ["010111000", "010011010"], "total_optimization_steps": 10, "probabilities": [0.00222850465515371, 0.00222850465515371], "optimization_time": 1.7067551612854004} | 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.0 * Z(7) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(6) + 0.0 * Z(8) | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["101000111", "010111000", "010011010", "101100101"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(0.9090566312306512) q[0];
cx q[5], q[0];
cx q[0], q[1];
rz(0.9090566312306512) q[1];
cx q[0], q[1];
cx q[0], q[4];
cx q[1], q[2];
rz(0.9090566312306512) q[2];
cx q[1], q[2];
rz(-1.9894954128574227e-08) q[... | 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[7], q[3];
rz(x0) q[3];
cx q[7], q[3];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];... | null | {"circuits": [], "gradients": []} | [
"IZIIIZIII",
"IIIZIIIIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIZIIIZ",
"IIZIZIIII",
"ZIIIIIIZI",
"IZIIIIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.535036 | [
0.9090566312306512,
-1.9894953653541653e-8,
-0.7853981761321077
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 99 |
4973527a678849b98f57c7e36651dc7d | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [174, 686], "expectation_value": -1.954935753329781, "params": [[[0.4948, 0.0285], [0.0181, -0.015700000000000002], [0.5085000000000001, 0.0349], [0.2484, 0.2554], [0.4904, 0.2983], [0.49470000000000003, 0.2038], [0.25, 0.4888], [0.1927, 0.5041], [0.4656, 0.5023], [0.47140000000000004, -0.0855]], [[0.4662, 0... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(0) @ Z(2) ... | 15 | 10 | 4 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.625, "smallest_bitstrings": ["1001000101", "0101001001", "0110000101", "0110000011", "0111000001", "0101010001", "1101000001", "1000100101",... | 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] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIZZZII",
"IIIIIIIZIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIIZIIZII",
"IIIZIIIZII",
"IIIZZIIIII",
"IIIIZIIZIZ",
"IIIZIIIZIZ",
"IIIZZIIIIZ",
"IIIZZIIZII",
"IIIZZIIZIZ",
"IIZIIIIIZI",
"IIIIZIZIII",
"IIZIIIZIII",
"IZIIIIZIII"... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
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,
... | 0.972665 | [
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 |
-737611882442974125 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 2, 3, 4, 5], [0, 1, 3, 4, 8], [0, 2, 3, 4, 5, 7, 10], [0, 2, 3, 4, 6, 7, 8, 9], [1, 2, 4, 6], [0, 1, 10, 4], [1, 2, 4, 5, 7, 8, 9, 10], [5, 6], [2, 3, 6, 7, 8, 10], [0, 1, 2, 3, 6, 7, 9, 10], [1, 2, 3, 4, 8, 9, 10], [0, 3, 4, 6, 7, 8, 9, 10]]} | {"states": [1005, 877], "expectation_value": -2.4505518459323854, "params": [-0.0488, 0.0528, 2.2555, 0.8802000000000001, 2.1388000000000003, 1.0424, 2.1390000000000002, 0.9616, 1.9319000000000002, 1.2307000000000001, 0.9164, 2.1565000000000003, 0.3735, -0.334, 1.4682000000000002, 1.6774, 1.5705, 1.5746, 1.5684, 1.5670... | 0.19285714285714284 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.14166666666666666 * (Z(4) @ Z(1)) + 0.21666666666666665 * (Z(5) @ Z(3)) + 0.30833333333333335 * (Z(5) @ Z(1)) + 0.18333333333333332 * (Z(5) @ Z(4)) + 0.09166666666666667 * (Z(6) @ Z(3)) + 0.06785714285714287 * (Z(6) @ Z(1)) + 0.07380952380952... | 14 | 11 | 1 | {"smallest_eigenvalues": [-2.6119047619047615], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.588095238095237, "smallest_bitstrings": ["10010010010"], "largest_eigenvalue": 11.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.13536235209924402) q[0];
rz(pi/2) q[0];
ry(2.2974477157358653) q[1];
ry(2.382327359756175) q[2];
ry(2.4403604492346886) q[3];
ry(1.9691194870313715) q[4];
ry(0.954394844227327) q[5];
ry(0.46730414068512) q[6];
ry(1.4129403494205) q[7];
ry(1.6981882948239877) q[8]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZI",
"IIIIIIZZIII",
"IIIIIIZIIZI",
"IIIIIZIZIII",
"IIIIIZIIIZI",
"IIIIIZZIIII",
"IIIIZIIZIII",
"IIIIZIIIIZI",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIIIZIIZ",
"IIIIIIIIIZZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIZIIIIIZ",
"IZIIIIIZIII",
"IZIIIIIIIZI",
"IZIIIIZIIII",
"IZIIIZIII... | [
0.19285714285714284,
0.16666666666666666,
0.14166666666666666,
0.21666666666666665,
0.30833333333333335,
0.18333333333333332,
0.09166666666666667,
0.06785714285714287,
0.07380952380952381,
0.09166666666666667,
0.05952380952380952,
0.15119047619047618,
0.12738095238095237,
0.192857142857142... | 0.970878 | [
-0.13536235209924402,
2.2974477157358653,
2.382327359756175,
2.4403604492346886,
1.9691194870313715,
0.954394844227327,
0.46730414068512,
1.4129403494205,
1.6981882948239877,
1.653507997968267,
2.1385774544973453,
0.08285408159584691,
-0.004976324037553759,
1.1421080216864241,
-0.0645156... | {
"n_parameters": 44,
"n_qubits": 11,
"optimal_eigenvalue": -2.6119047619047615,
"target_ratio": 0.97,
"target_value": -2.5335476190476185
} | 7 |
7226c8fb2aa84f05d2342b910f15c93d | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 4}, {"sour... | {"states": [226, 224], "expectation_value": -5.009454177327961, "params": [-0.007200000000000001, -0.0, 0.39680000000000004, 0.3985, 0.39590000000000003, 0.397, 0.3946, 0.39690000000000003, 0.0013000000000000002, 0.0046, 0.39080000000000004, 0.3879, -0.0036000000000000003, -0.0013000000000000002, 0.3895, 0.387, -0.0117... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(5) ... | 14 | 9 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -5.5, "smallest_bitstrings": ["110110110", "100110111", "100111011", "101011101", "011001111", "101111001", "100011111", "011011101", "101110101", "011100111", "0111... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.05655270542523334) q[0];
rz(pi/2) q[0];
ry(0.9610997954820018) q[1];
ry(0.5932129298993739) q[2];
ry(0.7570000296747297) q[3];
ry(-0.2047855498699977) q[4];
ry(0.3206360291682059) q[5];
ry(-0.1725929309852486) q[6];
ry(0.1158004840820257) q[7];
ry(0.048509203447094... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIZIIIIIZ",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIIZIIZI",
"IIIIZIZII",
"ZIIIZIIII",
"IZIIIIZII",
"ZZIIIIIII",
"IZIIZIIII",
"IIZIIZIII",
"ZIIIIZIII",
"IIZZIIIII",
"IIIZIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIZIIIIII",
"ZIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-1,
-1.5,
-2.5,
-1.5,
-1,
-1,
-0.5
] | 0.97185 | [
0.05655270542523334,
0.9610997954820018,
0.5932129298993739,
0.7570000296747297,
-0.2047855498699977,
0.3206360291682059,
-0.1725929309852486,
0.1158004840820257,
0.04850920344709455,
-0.05551890482261257,
0.08340492969386044,
0.4189215412017318,
0.2603777805142709,
0.4815342726426145,
0... | {
"n_parameters": 71,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 16 |
58fa04385078dcdc0b5f9361c481400a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [0, 24], "expectation_value": -3.4998646533653353, "params": null, "bitstrings": ["11111", "00111"], "total_optimization_steps": 16, "probabilities": [1.9001409475734607e-05, 0.9999182925217274], "optimization_time": 9.428876161575317} | 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(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(1) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["11010", "00111"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.47101618974758475) q[0];
rz(-0.16827364835461855) q[0];
rx(0.48551343822356186) q[1];
rz(0.17804732572877252) q[1];
rx(0.32539434813691376) q[2];
rz(0.5457656730524693) q[2];
rx(-0.21683998807139754) q[3];
rz(0.30031640895019224) q[3];
rx(1.2220557292476708) q[4];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIZIZ",
"IZZII",
"IZIIZ",
"ZIIIZ",
"ZZIII",
"IIZZI",
"IZIZI",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"ZIIII",
"IIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1,
-1
] | 0.971822 | [
0.4710161897475848,
-0.09099105680982872,
0.48551343822356186,
0.17804732572877252,
0.32539434813691376,
0.5457656730524693,
-0.21683998807139754,
0.30031640895019224,
1.2220557292476708,
0.00816620436411572,
0.6463337616946943,
0.03026562494828463,
0.5393888844458095,
-0.2593316846640103,... | {
"n_parameters": 71,
"n_qubits": 8,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 45 |
a7fba5c7fdc2a0492603f740d30b0e3e | 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": 0, "target": 5}, {"source": 1, "target": 5}, {"source": ... | {"states": [200, 232], "expectation_value": -0.6736294332847734, "params": [1.6031, 0.001, 1.6081, 0.004, 1.5981, 0.0059, 0.0025, 0.0061, 1.6086, 0.0017000000000000001, 1.2782, 0.0098, 1.264, 0.0033, 1.2932000000000001, 0.008400000000000001, 0.004200000000000001, 0.004200000000000001, 0.0094, 0.007200000000000001, 0.00... | 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... | 18 | 8 | 1 | {"smallest_eigenvalues": [-2.6875, -2.6875, -2.6875, -2.6875, -2.6875, -2.6875, -2.6875], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.6875, "smallest_bitstrings": ["00110110", "00010111", "01110100", "10010011", "10110010", "11010001", "01010101"], "largest_eigenvalue": 5.3125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0038456229068963193) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.0038456229068963193) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0038456229068963193) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(0.0038456229068963193) q[0];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIZIIZI",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIZIIZZ",
"IIIIZZIZ",
"IIIZIZIZ",
"IIIZZIIZ",
"IIIIZZZI",
"IIIZIZZI",
"IIIZZIZI",
"IIIZZZII",
"IIIIZZZZ",
"IIIZIZZZ",
"IIIZZIZ... | [
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,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,... | 0.970195 | [
0.0038456229068963193,
0.03152788476359816,
0.5843677711496659,
0.07011294895722706,
-0.10747817429227481,
-1.040178437004815,
1.0646619051284048,
-1.0354563116757038,
0.017329488661321276,
0.04182312572303404,
1.035489171615615,
0.18311382064276116,
-0.27304283047034755,
-1.02584056551815... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -2.6875,
"target_ratio": 0.97,
"target_value": -2.606875
} | 194 |
843c0b844102c976bf0e3bde4e8ae7cf | 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": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [98, 97], "expectation_value": -4.499900323048656, "params": null, "bitstrings": ["0011101", "0011110"], "total_optimization_steps": 30, "probabilities": [1.7187018792325013e-05, 0.9999500709750945], "optimization_time": 20.395888090133667} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + -1.0 * Z(5) + -1.0 * Z(1) + -1.0 * Z(3) + -0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1101010", "0011110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.04289715695726991) q[0];
rz(pi/2) q[0];
ry(0.7107170319200843) q[1];
ry(0.4703766590927557) q[2];
ry(0.9227215368200531) q[3];
ry(0.7548038706134885) q[4];
ry(-0.2305965849039855) q[5];
ry(0.8749603382786761) q[6];
ry(-0.05789510687311766) q[7];
ry(1.1695928337305... | 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[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",
"IIZIIIZ",
"IZIIIIZ",
"IZZIIII",
"IIIIZZI",
"IIZIIZI",
"IIIZZII",
"IIIZIZI",
"ZZIIIII",
"ZIIZIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-1,
-1,
-1,
-0.5
] | 0.971348 | [
0.04289715695726991,
0.7107170319200843,
0.4703766590927557,
0.9227215368200531,
0.7548038706134885,
-0.2305965849039855,
0.8749603382786761,
-0.05789510687311766,
1.1695928337305748,
0.061895188952259525,
-0.25420448655296757,
-0.19184074027420744,
0.44211286759617985,
-0.1236053143222224... | {
"n_parameters": 79,
"n_qubits": 10,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 31 |
-1830776191776840303 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 7], [6, 7], [8, 7], [8, 4], [8, 1], [4, 5], [0, 5], [1, 4], [8, 2], [4, 7], [3, 4], [2, 4], [0, 7], [0, 4], [0, 6], [8, 5]]} | {"states": [238, 273], "expectation_value": -0.14983682580273497, "params": [[-0.0697], [0.0692]], "bitstrings": ["100010001", "011101110"], "total_optimization_steps": 10, "probabilities": [0.002264888401307597, 0.002264888401307597], "optimization_time": 2.167513132095337} | 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["011101110", "111101010", "100010101", "011101010", "100010001", "000010101"], "largest_eigenvalue": 8.0} | 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];
cx q[7], q[2];
rz(-0.4906071687905652) q[2];
cx q[7], q[2];
cx q[7], q[6];
rz(-0.4906071687905652) q[6];
cx q[7], q[6];
h q[8];
cx q[7], q[8];
rz(-0.4906071687905652) q[8];
cx q[7], q[8];
cx q[2], q[8];
cx ... | 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[7], q[2];
rz(x0) q[2];
cx q[7], q[2];
cx q[7], q[6];
rz(x0) q[6];
cx q[7], q[6];
cx q[7], q[8];
rz(x0) q[8];
cx q[7], q[8];... | null | {"circuits": [], "gradients": []} | [
"IZIIIIZII",
"IZZIIIIII",
"ZZIIIIIII",
"ZIIIIIZII",
"IZIIZIIII",
"IIIIZIZII",
"ZIIIZIIII",
"ZIIIIIIZI",
"IIIIZIIZI",
"ZIIZIIIII",
"IIIZZIIII",
"IZIIIIIIZ",
"IIZIIIIIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIIZZIII",
"IZIIIIIII",
"IIIIIIZII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIZIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.463729 | [
-0.4906071687905652,
1.2275122403278122e-8,
0.6368447591847652
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 91 |
06224520ded029e940b1fde3f5ab3e3b | 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": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 3}, {"source": 3, "target": 5}]} | {"states": [56, 7], "expectation_value": -3.09503190403376, "params": [[-0.0568, -0.0636], [0.0736, 0.06570000000000001]], "bitstrings": ["000111", "111000"], "total_optimization_steps": 10, "probabilities": [0.027233601763651926, 0.028044672982968075], "optimization_time": 3.2850699424743652} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 * ... | 16 | 6 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.4604609545342588) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(0.4604609545342588) q[1];
cx q[0], q[1];
rz(-0.5961919399360327) q[0];
rx(-0.8240718412880712) q[0];
cx q[3], q[2];
rz(0.4604609545342588) q[2];
cx q[3], q[2];
h... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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 ... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
2,
2,
2,
2,
2,
1.75,
2,
1.75,
2,
2,
1.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.5,
-0.5
] | 0.720304 | [
0.4604609545342588,
-1.0130158982300328,
-0.5961919399360321,
0.10159268481627397,
-0.8240718412880712,
1.653056793347183,
-2.4998589588665014,
-1.3174178256009759,
-0.48477462442147073
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 246 |
16527d193f875954393100e94a8bb60f | 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": [3010, 2754], "expectation_value": -89.28954369503735, "params": [1.1975, 0.32130000000000003, -0.0007, 0.6853, 1.1966, 0.13190000000000002, 0.7442000000000001, 0.2412, 1.2076, 0.016900000000000002, 1.1932, 0.2376, 0.5348, 0.4213, 0.0033, -0.7088, 0.0025, 0.8711000000000001, -0.0061, -0.5672, 1.1974, 0.2112,... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(2) @ Z(0)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(6) @ Z(4)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(9) @ Z(4)) + 7.5 * (Z(11) @ Z(0)) + 7.5 * (Z(11) @ Z(2)) + 7.5 * (Z(10) @ Z(11)) + 7.5 * (Z(7) @ Z(10)) + -3.0 * Z(1) + 15.0 * Z(0) + 16.0 * Z(2) + 4.5 * Z(3... | 18 | 12 | 2 | {"smallest_eigenvalues": [-137.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -116.5, "smallest_bitstrings": ["010100111101"], "largest_eigenvalue": 171.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(1.3256085062362055) q[0];
rz(0.06274355419177624) q[0];
rx(-0.08283390258218837) q[1];
rz(0.48752747549370135) q[1];
cx q[1], q[0];
rz(-0.12930380903923558) q[0];
cx q[1], q[0];
rx(0.7990554095500565) q[0];
rz(0.08121885477229185) q[0];
rz(0.009726459936622375) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZZII",
"IIIIIZIZIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZZIIIII",
"IIZIIIIZIIII",
"ZIIIIIIIIIIZ",
"ZIIIIIIIIZII",
"ZZIIIIIIIIII",
"IZIIZIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIIIZIII",
"IIIIIIIZIIII",
"IIIIIZIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
-3,
15,
16,
4.5,
17,
1.5,
13.5,
-3,
8,
7,
-6,
-11
] | 0.974337 | [
1.3256085062362053,
-0.06656025484745917,
-0.08283390258218837,
0.48752747549370135,
0.8305431638212697,
-0.04958395203950752,
-0.14350480392775533,
0.49323562477842586,
0.995320666209404,
0.2856066926923435,
1.0301696312704647,
0.04138789405308056,
-0.04076146303464003,
0.8021866853446489... | {
"n_parameters": 98,
"n_qubits": 12,
"optimal_eigenvalue": -137.5,
"target_ratio": 0.97,
"target_value": -133.375
} | 11 |
266260d621043cabf37512f90b4b26ac | 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": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [306, 310], "expectation_value": -1.4306766948102978, "params": [1.6046, 0.0089, 1.2759, 0.0007, 0.0023, 0.0029000000000000002, 1.6042, 0.0036000000000000003, 1.6042, 0.0058000000000000005, 0.0022, 0.0027, 1.5963, 0.0006000000000000001, 1.6084, 0.0019, 1.2778, 0.009300000000000001, 0.0054, 0.0009000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(0)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(3) @ Z(6)) + 0.0625 * (Z(3) @ Z(7)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(6) @ Z(7)) ... | 18 | 9 | 1 | {"smallest_eigenvalues": [-3.9375, -3.9375, -3.9375], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.9375, "smallest_bitstrings": ["011001001", "011001100", "101001001"], "largest_eigenvalue": 6.0625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.477898318581454) q[0];
h q[1];
ry(-0.4888733129307691) q[1];
h q[2];
cx q[2], q[1];
ry(0.4888733129307691) q[1];
cx q[2], q[1];
ry(-0.6924805366395752) q[1];
ry(1.0450823337261748) q[2];
cx q[0], q[2];
ry(-0.25224595363223157) q[2];
cx q[0], q[2];
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": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIIZZZII",
"IIIIIZIIZ",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IIIZIIIIZ",
"IIZIIZIII",
"IZIIIZIII",
"IIIZIZIII",
"IZZIIIIII",
"IIZZIIIII",
"IZIZIIIII",
"IIZIIZIIZ",
"IZIIIZIIZ",
"IIIZIZIIZ",
"IZZIIIIIZ",
"IIZZIIIIZ",
"IZIZIIIIZ",
"... | [
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,
0.5,
... | 0.998002 | [
-1.5808231262727073,
-1.495224561598988,
1.477898318581454,
-0.9777466258615382,
0.7928363800939433,
-0.4713266192410723,
0.5044919072644631,
-0.44230783479700575,
0.11582191220683138,
-0.1832459711098804,
-0.009696904386748695,
0.19372804678613653,
0.11888128948169988,
0.0742715900397142,... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
d56c975033dd057e743f83adc19a7c34 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [81, 89], "expectation_value": -3.0359101064225085, "params": [[-0.0337, 1.0003, -0.0322, 1.0004, 0.9995, 0.002, 0.0028, 0.9988], [0.0105, 0.9972000000000001, 0.0252, 0.3825, 0.37160000000000004, 0.0022, 0.0029000000000000002, 0.9999], [-0.0077, 0.9952000000000001, 0.055400000000000005, 1.0075, 1.00260000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(7) @ Z(1)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(7) @ Z(6)) + -0.125 * (Z(3) @ Z(1) @ Z(6)) + ... | 10 | 8 | 2 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.625, "smallest_bitstrings": ["10001110", "01100110", "10100110", "10000111"], "largest_eigenvalue": 6.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-2.9050358879956693) q[0];
rz(0.5948867343780098) q[0];
rx(-0.0885496554455817) q[1];
rz(-0.20503975740606606) q[1];
rx(0.020973640917349125) q[2];
rz(-0.5221240672245311) q[2];
rx(2.71133793134002) q[3];
rz(-0.48018378432845443) q[3];
rx(0.030169291828219782) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIZZZIII",
"IIIIZIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IZIIZIII",
"ZIIIZIII",
"ZZIIIIII",
"IZIIZIZI",
"ZIIIZIZI",
"ZZIIIIZI",
"ZZIIZIII",
"ZZIIZIZI",
"IIIZIZII",
"ZIIIIZII",
"ZIIZIIII",
"ZIIZIZII",
"IIIIIIIZ",
"IIIIIIZ... | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
-0.5,
-0.125,
-0.25,
0.125,
0,
-0.75,
-0.625,
0.125
] | 0.984426 | [
3.3781494191839174,
0.2675102565741927,
-0.08854965544558169,
-0.6477277573978388,
0.020973640917349122,
-0.6997177900453324,
2.71133793134002,
-0.424062130357592,
0.030169291828219785,
0.9914811742011299,
3.14508984552239,
-0.34936330861756365,
3.256916167636316,
0.2131946472530643,
-0.... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 19 |
7785e3e7ad6fcc746d4b86c67fd57c41 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 3... | {"states": [63, 45], "expectation_value": -2.2007677490028668, "params": [[0.0641, 0.0627, 0.0661], [-0.0687, -0.0658, -0.057800000000000004]], "bitstrings": ["1000000", "1010010"], "total_optimization_steps": 10, "probabilities": [0.016249061122896594, 0.017940082741027652], "optimization_time": 4.59428596496582} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + 1.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + 1.5 * Z(4) + 2.25 * Z(1) + -2.5 * Z(3) + -1.25 * Z(5)... | 1 | 7 | 3 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["1011010", "1010010"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.4770183040301989) q[0];
h q[1];
ry(1.5600588358649419) q[1];
rz(-pi) q[2];
ry(-0.049828445060759584) q[2];
cx q[1], q[2];
ry(0.39130269635166626) q[2];
cx q[1], q[2];
ry(-0.009441086677882307) q[1];
ry(0.17246191439933098) q[2];
h q[3];
ry(-1.1835966050189... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIZIIIZ",
"IIIIZZI",
"IIZIIZI",
"IIZZIII",
"IIIZIZI",
"IZIIZII",
"IZIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.25,
-0.75,
-0.25,
-0.25,
-1.25,
-1.25,
-0.75,
-0.5,
1.25,
-1.25,
0.25,
-0.25,
1.5,
2.25,
-2.5,
-1.25,
0
] | 0.971442 | [
-1.1835966050189877,
-1.9623389505959945,
-0.3056669926877728,
0.6498635111692677,
1.5600588358649419,
-0.9540366080603978,
-1.22932207550399,
-0.7826053927033325,
-0.5557969344496055,
-0.018882173355764614,
0.4002954472560074,
1.22108309746494,
0.34492382879866196,
1.3682006687738621,
0... | {
"n_parameters": 15,
"n_qubits": 7,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 72 |
e252de876257cc088f4245a3485adf9a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [44, 28], "expectation_value": -4.593803239277892, "params": [0.0056, 0.23450000000000001, 0.0046, 0.2564, -0.0018000000000000002, 0.25270000000000004, -0.0011, 0.25, 0.313, 0.1563, 0.303, 0.18030000000000002, 0.3094, 0.1837, 0.3047, 0.1759, 0.35300000000000004, 0.0046, 0.3513, 0.0247, 0.406, 0.0022, 0.40440... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.5 *... | 7 | 8 | 3 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.5, "smallest_bitstrings": ["01110101", "01110011", "11011010", "11100011", "11010011", "10110101", "11101010"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.06159038452904101) q[0];
rz(-0.11311360077328914) q[0];
rx(-0.032611486245627846) q[1];
rz(0.34651246120872076) q[1];
cx q[1], q[0];
rz(0.24119462661142677) q[0];
cx q[1], q[0];
rz(1.6556210807791514) q[0];
ry(0.10342825170775889) q[0];
rz(-1.4298974067377468) q[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... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"ZIIIIIZI",
"ZIIIIIIZ",
"IIZIIIZI",
"IZIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"ZIIIIIII",
"IIZIIIII",
"IZIIIIII",
"IIIZIIII"
] | [
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,
-1.5,
-1.5,
-1,
-0.5,
-1,
0
] | 0.980228 | [
-0.06159038452904101,
0.12808102583813663,
-0.032611486245627846,
0.34651246120872076,
0.048405285970239895,
-0.09204868333541087,
0.5397663419075766,
0.33962269699533637,
0.470376342434787,
0.0634524871259769,
0.43433741419163485,
-0.07625160983070596,
-0.05810358072113958,
0.235462165367... | {
"n_parameters": 114,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 11 |
979e20fa342d097a41a2cd99b004ee1f | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [86, 104], "expectation_value": -0.17404902940724892, "params": [[0.0494, 0.0009000000000000001], [-0.0429, -0.0224]], "bitstrings": ["0101001", "0010111"], "total_optimization_steps": 10, "probabilities": [0.008469229104889724, 0.00848660186225922], "optimization_time": 2.998523235321045} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * Z(6) + 0.0 * Z(0) + -1.0 * Z(1) + -1.5 * Z(4) + -1.5 * Z(5) + -1.0 * Z(3) + 0.0 * Z(2) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0101011", "0010111", "0101101", "0001111"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.01639940190324564) q[0];
rz(-0.09112310478793795) q[0];
rx(0.14383958951193995) q[1];
rz(0.3355433591116594) q[1];
cx q[1], q[0];
rz(0.1946470144932977) q[0];
cx q[1], q[0];
rx(-0.016399401903245635) q[0];
rz(-0.5314692985240015) q[0];
rz(0.23933950950538713) q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(x0) q[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZ",
"ZIIIIZI",
"ZIZIIII",
"IIZIIZI",
"ZZIIIII",
"IZIIIZI",
"IZZIIII",
"IIZZIII",
"IZIZIII",
"IIIZZII",
"ZIIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"IIIZIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-1.5,
-1.5,
-1,
0
] | 0.9732 | [
-0.01639940190324564,
0.10352390970535925,
0.14383958951193995,
0.3355433591116594,
0.3078576328110699,
0.5764728574284009,
1.6457984941502548,
-0.10514791409987462,
0.05650991192769124,
0.5532852838672673,
1.2976874841650705,
-0.14977956404263973,
1.2689160166224644,
0.07300354699063141,
... | {
"n_parameters": 54,
"n_qubits": 10,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 44 |
b10e647670f759bc4f3dd1387515cbab | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [22, 50], "expectation_value": -0.2640944078944823, "params": [[0.0376, 0.0358, 0.0684], [-0.031100000000000003, -0.0184, -0.0489]], "bitstrings": ["101001", "001101"], "total_optimization_steps": 10, "probabilities": [0.018701239008395508, 0.018701239008395522], "optimization_time": 3.9180660247802734} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(1) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["001101", "101001"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(1.6059590783964175) q[1];
h q[2];
ry(-1.5435690642332873) q[2];
h q[3];
ry(-0.5332571362745683) q[3];
cx q[0], q[3];
ry(0.5332571362745683) q[3];
cx q[0], q[3];
ry(0.9119014324033945) q[0];
ry(-0.6753977872976624) q[3];
h q[4];
ry(1.6059590783964175) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"ZIIZII",
"ZIIIZI",
"IZIZII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-1,
0,
-0.5
] | 0.993521 | [
-1.5435690642332873,
-1.3972417071881398,
1.6059590783964175,
-1.0665142725491366,
0.6111672878365482,
-0.1119226496394643,
-0.49139838766546845,
0.6014682891336927,
-0.3679987992643881,
0.33092884969918057,
-0.19658386032209535,
0.11017040147676396,
0.21045782912511068,
-0.041443516117334... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
347cd23786ada5a7ec96f3799dd0d8dc | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [148, 180], "expectation_value": -2.782033233810378, "params": [[1.5041, 0.3925, 0.4818, 1.1516, -0.0022, 1.4972, 0.0043, -0.0063], [1.4979, 0.0855, 1.5066000000000002, 1.5046000000000002, -0.0021000000000000003, 1.5031, 0.0024000000000000002, 0.0064]], "bitstrings": ["01101011", "01001011"], "total_optimiza... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 10 | 8 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.375, "smallest_bitstrings": ["01011001", "01001011", "10001110", "01001110"], "largest_eigenvalue": 6.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.7996058083707251) q[0];
rz(-0.13258950846490603) q[0];
rx(-0.04589737538281516) q[1];
rz(0.1799801397254761) q[1];
rx(0.16186570142550433) q[2];
rz(0.3133290356743821) q[2];
rx(0.8227815263736653) q[3];
rz(0.05776948433549922) q[3];
rx(0.7161871771895253) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIIIZZIZ",
"IIIZIZIZ",
"IIIZZIIZ",
"IIIZZZII",
"IIIZZZIZ",
"IIIIIZZI",
"IIZIIIZI",
"IIZIIZII",
"IIZIIZZI",
"IZIIZIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZII... | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
-0.125,
-0.25,
0.125,
-0.125,
-0.625,
-0.25,
-0.5,
-0.5
] | 0.971014 | [
0.7996058083707254,
0.006182936667641672,
-0.04589737538281516,
0.22768974747763632,
0.16186570142550433,
0.396073894945569,
0.8227815263736652,
0.013998181878018726,
0.7161871771895254,
0.15083729154297,
0.03143464359904234,
0.3059757219065661,
0.640600425668681,
0.1741861116929011,
0.3... | {
"n_parameters": 79,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 8 |
a7b6961c0e010c5cd9220aed7c02d87e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 2, "target": 1}, {"capaci... | {"states": [10, 11], "expectation_value": -4.999986795282007, "params": null, "bitstrings": ["110101", "110100"], "total_optimization_steps": 20, "probabilities": [1.808493766232e-06, 0.9999959237008993], "optimization_time": 14.221063613891602} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + 1.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.75 * Z(2) + 0.25 ... | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["110100"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.001959798150095337) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.001959798150095337) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.3815866551963541) q[2];
cx q[1], q[2];
rz(0.3815866551963541) q[3];
cx q[0], q[3]... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5486) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IIIZZI",
"IIZZII",
"ZIIIIZ",
"ZIIZII",
"IZIIZI",
"IZZIII",
"IZIZII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IIIZII",
"ZIIIII",
"IZIIII"
] | [
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
1,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.75,
-0.25,
-0.75,
0.75,
0.25,
0.75
] | 0.685194 | [
0.001959798150095337,
0.3815866551963541,
-0.02024676984199178,
1.5645802848410972,
-1.559643606159173,
-1.5674598134785187,
1.542213756241811
] | {
"n_parameters": 7,
"n_qubits": 6,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 175 |
cde6b48ed870286595c1455af7aff8bd | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [1, 0], "expectation_value": -1.7419606411298552, "params": null, "bitstrings": ["110", "111"], "total_optimization_steps": 4, "probabilities": [0.003943316176215607, 0.9919772858285041], "optimization_time": 1.4907081127166748} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0) @ Z(1)) + -0.75 * Z(0) + -0.75 * Z(1) + -0.75 * Z(2) | 1 | 3 | 1 | {"smallest_eigenvalues": [-1.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.75, "smallest_bitstrings": ["111"], "largest_eigenvalue": 3.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.5486) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.5486) q[0];\nry(-1.4449)... | [
"IZZ",
"ZIZ",
"ZZI",
"ZZZ",
"IIZ",
"IZI",
"ZII"
] | [
0.25,
0.25,
0.25,
-0.25,
-0.75,
-0.75,
-0.75
] | 0.989 | [
1.5946656311860272,
1.4546236341953724,
-1.3915392123108226,
-1.043543998175015,
-0.7696115407594695,
0.5858465026550362,
0.5980335866172003,
-0.5311148471859957,
0.6361651825545125,
-0.4145474599646862,
-0.39359418429255133,
-0.3850745616697103,
-0.5256664875247946,
-0.3291045904565906,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 1 |
2d02f35370a8769eaaa03bbd3e88b224 | 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": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [108, 105], "expectation_value": -4.499134183102601, "params": null, "bitstrings": ["0010011", "0010110"], "total_optimization_steps": 29, "probabilities": [0.06620744839560427, 0.9331647658006808], "optimization_time": 30.766871452331543} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * Z(2) + 0.0 * Z(0) + -1.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["0110100", "0010011", "0010110"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.028724036569921858) q[0];
cx q[2], q[0];
rz(1.2326671886736946) q[0];
rx(-1.6076612753279809) q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.028724036569921858) q[5];
cx q[2], q[5];
cx q[2], q[3];
rz(0.028724036569921858) q... | 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[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",
"IZIIZII",
"IZIIIZI",
"IIIZZII",
"IIZIZII",
"IZZIIII",
"ZIIIZII",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIZIII",
"IIZIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-1,
0,
0,
-1,
-0.5
] | 0.971132 | [
0.028724036569921858,
-1.5782905238710299,
1.2326671886736946,
-1.3850374293024992,
-4.44702294793995,
-1.6076612753279809
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 31 |
0f435eed505f807fb8dc44643dfd43ce | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target"... | {"states": [57, 45], "expectation_value": -2.3679277592957098, "params": null, "bitstrings": ["1000110", "1010010"], "total_optimization_steps": 32, "probabilities": [0.09217217652916268, 0.8898723634495206], "optimization_time": 53.984888553619385} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375, -2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.375, "smallest_bitstrings": ["1010010", "0100110", "0011010", "1000011", "0010110", "1000110"], "largest_eigenvalue": 4.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.366669122515066) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.366669122515066) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.366669122515066) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.366669122515066) q[3];
cx q[0], q[3];
h q[4]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[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(-1.5158) 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",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IIZZIIZ",
"IIIZIZI",
"IZIIIZI",
"ZIIIIZI",
"IZIZIII",
"ZIIZIII",
"ZZIIIII",
"IZIZIZI",
"ZIIZIZI",
"ZZIIIZI",
"ZZIZIII",
"ZZIZIZI",
"IIZIZII",
"ZIIIZII",
"ZIZIIII",
"ZIZIZII",
"IIIIIIZ",
"III... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0,
0.125,
0,
0.125,
0,
-0.625,
0.125
] | 0.608376 | [
0.366669122515066,
0.6186240853904678,
-0.8045916182441789
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 106 |
9aafe0580999b1b0b4b8e8eda0d2bc18 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": ... | {"states": [5, 33], "expectation_value": -2.910603879608093, "params": null, "bitstrings": ["111010", "011110"], "total_optimization_steps": 20, "probabilities": [0.06070092546581366, 0.7871871279988792], "optimization_time": 16.439262628555298} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(2) + 0.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.0, "smallest_bitstrings": ["011110", "111100", "111010", "010111", "110101", "101110", "110011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.008488357935385014) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.008488357935385014) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.008488357935385014) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.008488357935385014) q[3];
cx q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"IZZIII",
"IIIZZI",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1,
-0.5,
0
] | 0.975971 | [
-0.008488357935385014,
1.2282148178064172,
-0.8433163024275433,
1.9725853102242956,
0.7728853189660121,
1.8680963585552939,
1.0323223109501083,
-1.0872816684056126,
-1.4919523916296222,
-1.1032332760214447,
0.051606515557825625,
0.9174931232599342,
-0.7487650083959976,
-0.9471809696574603,... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -69.5,
"target_ratio": 0.97,
"target_value": -67.41499999999999
} | 87 |
57ee338fb11c54f5732d695ad617aa60 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 5, "s... | {"states": [256, 255], "expectation_value": -17.906582373769055, "params": [[[0.00030000000000000003, -0.045200000000000004], [0.0018000000000000002, 0.0024000000000000002], [0.005200000000000001, 0.0026000000000000003], [0.0057, 0.0028], [-0.0426, 0.0032], [0.0007, -0.0031000000000000003], [0.0012000000000000001, 0.00... | -0.75 * (Z(0) @ Z(1)) + 1.0 * (Z(8) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(2)) + -0.25 * (Z(7) @ Z(1)) + -1.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(2)) + -3.25 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(8)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(5) ... | 15 | 9 | 2 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.026037201523532453) q[0];
ry(0.07677635512812162) q[1];
ry(0.012602255190097979) q[2];
ry(0.026037201523532453) q[3];
ry(-0.020069688422389816) q[4];
ry(0.0025937168665490853) q[5];
ry(0.03728218439050954) q[6];
ry(-1.5068054265156994) q[7];
ry(0.9901545258385747) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"ZIIIIIIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IZIIIIIZI",
"ZZIIIIIII",
"IZIIIIZII",
"IZIIIZIII",
"IIIIZIIZI",
"IIIZIIIZI",
"ZIIZIIIII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIZI",
"ZIZIIIIII",
"IIZIIIZII",
"IZZIIIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIIIIIZI",
"... | [
-0.75,
1,
-0.75,
-1.25,
-1.5,
-0.25,
-1.25,
-0.25,
-3.25,
-0.5,
-0.25,
-1,
-0.75,
-1,
-1.25,
-0.75,
-0.75,
-1.75,
-0.75,
-0.5,
-1,
-0.25,
-2,
-2.75,
-0.75,
-0.25,
2.25,
0.5,
4.25
] | 0.9701 | [
0.026037201523532453,
0.07677635512812162,
0.012602255190097979,
-0.020069688422389816,
0.0025937168665490853,
0.03728218439050954,
-1.5068054265156994,
0.9901545258385747,
0.06705241330472257,
0.5298011616617547,
0.0028943982304770015,
0.0064044464684036954,
0.004155345700322215,
-0.00905... | {
"n_parameters": 47,
"n_qubits": 9,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 73 |
-5472487724328392289 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 4, 5], [3, 4], [0, 3, 5], [0, 1, 5], [2, 3]]} | {"states": [43, 21], "expectation_value": -0.015208532858395482, "params": [[-0.04], [0.0425]], "bitstrings": ["010100", "101010"], "total_optimization_steps": 10, "probabilities": [0.015997441073984146, 0.015997556730731586], "optimization_time": 0.5254573822021484} | 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.1666666666... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9999999999999998, "smallest_bitstrings": ["101010"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[1];
rz(-0.11050614230116856) q[1];
cx q[4], q[1];
h q[5];
cx q[4], q[5];
rz(-0.11050614230116856) q[5];
cx q[4], q[5];
cx q[1], q[5];
cx q[4], q[3];
rz(-1.0050026503416583) q[3];
cx q[4], q[3];
rz(-0.11050614230116862) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[4], q[5];
rz(x0) q[5];
cx q[4], q[5];
cx q[1], q[5];
rz(x1) q[5]... | null | {"circuits": [], "gradients": []} | [
"IZIIZI",
"ZZIIII",
"ZIIIZI",
"IZZIII",
"ZIZIII",
"IIIIZZ",
"ZIIIIZ",
"IIZIIZ",
"IIZZII",
"IZIIII",
"IIIIZI",
"ZIIIII",
"IIZIII",
"IIIIIZ",
"IIIZII"
] | [
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666663,
0.3333333333333333,
0.5,
0.16666666666666674,
0.3333333333333333,
0
] | 0.581657 | [
-0.11050614230116856,
-0.4968999497037623,
-1.0050026503416583,
0.07207737508130829,
0.8067561441627622
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -2.0000000000000004,
"target_ratio": 0.97,
"target_value": -1.9400000000000004
} | 148 |
b2c25a19a038d07471a5450910ba4971 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 3}]} | {"states": [24, 3], "expectation_value": -3.567525754709025, "params": [[0.06860000000000001, 0.0636, 0.0504], [-0.0546, -0.0685, -0.07100000000000001]], "bitstrings": ["00111", "11100"], "total_optimization_steps": 10, "probabilities": [0.06829345537807992, 0.07255663277344099], "optimization_time": 3.3086650371551514... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (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)) + -2.5 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.5 * Z(4) + -2.25 * Z(3) | 7 | 5 | 3 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.016234704253647998) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-0.010386543699948906) q[1];
h q[2];
h q[3];
ry(1.1585700450953158) q[3];
h q[4];
ry(-0.5085847075913551) q[4];
cx q[2], q[4];
ry(0.5085847075913551) q[4];
cx q[2], q[4];
ry(-0.2519288651435193) q[4];
cx q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"IZIZI",
"IZIIZ",
"IZZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"ZIIII",
"IZIII"
] | [
1.75,
1.75,
1.75,
2,
2,
1.75,
2,
2,
2,
1.75,
-2.5,
-2.5,
-2.75,
-2.5,
-2.25
] | 0.987557 | [
-1.6083798548905424,
-1.580119373751702,
1.1585700450953158,
-1.0171694151827102,
0.8689899356169645,
-0.5038577302870386,
0.5447428831437316,
0.28835851723029476,
-0.27941569527661547,
-0.0021269934862870876,
0.08523768570425198,
-0.12057589076085368,
0.1076364646985875,
0.109842316070757... | {
"n_parameters": 14,
"n_qubits": 5,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
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": [0, 27], "expectation_value": -3.4501357730253996, "params": [[0.14800000000000002, 0.1179, 0.0848, 0.0403], [-0.1683, -0.15510000000000002, -0.1466, -0.1316]], "bitstrings": ["111111", "100100"], "total_optimization_steps": 20, "probabilities": [0.07676678310627821, 0.08928941815198936], "optimization_time"... | -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 | 4 | {"smallest_eigenvalues": [-5.25, -5.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.25, "smallest_bitstrings": ["100100", "100000"], "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] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"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 |
2576254015092375856 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 7], [0, 3, 6], [0, 3, 4], [4, 5, 6], [2, 4], [2, 6, 7], [3, 5, 7], [0, 2], [1, 6], [0, 3, 5], [3, 4, 7], [2, 3, 6]]} | {"states": [139, 143], "expectation_value": -0.9190775281995964, "params": [[-0.2076], [0.2059]], "bitstrings": ["01110100", "01110000"], "total_optimization_steps": 30, "probabilities": [0.009261568603183392, 0.009576386018117763], "optimization_time": 2.7193198204040527} | 0.5 * (Z(1) @ Z(7)) + 0.3333333333333333 * (Z(3) @ Z(7)) + 0.5 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(7)) + 0.3333333333333333 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.999999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.666666666666667, "smallest_bitstrings": ["01110000"], "largest_eigenvalue": 9.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[1];
rz(-0.6884787236020489) q[1];
cx q[7], q[1];
cx q[7], q[3];
rz(-0.20147361836017177) q[3];
cx q[7], q[3];
cx q[3], q[0];
rz(-0.6884787236020489) q[0];
cx q[3], q[0];
cx q[7], q[6];
rz(0.07216... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[1];
rz(x0) q[1];
cx q[7], q[1];
cx q[7], q[3]... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZI",
"ZIIIZIII",
"IIIIZIIZ",
"ZZIIIIII",
"IZIIIIZI",
"IZIIZIII",
"IZIIIIIZ",
"ZIIZIIII",
"IIIZZIII",
"IIIZIIIZ",
"IZIZIIII",
"ZIZIIIII",
"IIZIZIII",
"IIZIIIIZ",
"IZZIIIII",
"IIZZIIII",
"ZIIIIZII",
"IIIIZZII",
"IIIIIZIZ",
"IZIIIZII",
"IIIZIZII",
"ZIIIIIII",
"IIIIIIZ... | [
0.5,
0.3333333333333333,
0.5,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
... | 0.555706 | [
-0.6884787236020489,
-0.20147361836017177,
0.07216583198903107,
1.001290601953807,
-0.19475602282435125,
-1.220199228996195,
0.9536311504313376
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -3.999999999999999,
"target_ratio": 0.97,
"target_value": -3.879999999999999
} | 175 |
83e6ae67eaaf3c236b289ec3dffbd0ae | 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": 0, "target": 4}, {"source": 0, "... | {"states": [2032, 4080], "expectation_value": -18.613897603406247, "params": null, "bitstrings": ["100000001111", "000000001111"], "total_optimization_steps": 100, "probabilities": [0.09542330975465543, 0.13265950421305048], "optimization_time": 286.0400903224945} | -4.0 * (Z(0) @ Z(1)) + 2.0 * (Z(2) @ Z(1)) + -4.0 * (Z(2) @ Z(0)) + -3.0 * (Z(4) @ Z(1)) + -4.0 * (Z(4) @ Z(0)) + 1.5 * (Z(4) @ Z(2)) + -4.0 * (Z(5) @ Z(1)) + -3.5 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(2)) + 1.5 * (Z(5) @ Z(4)) + -4.0 * (Z(6) @ Z(1)) + -3.5 * (Z(6) @ Z(0)) + -4.0 * (Z(6) @ Z(2)) + -4.0 * (Z(6) @ Z(4)) + -... | 1 | 12 | 1 | {"smallest_eigenvalues": [-66.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["000000001111"], "largest_eigenvalue": 57.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.4828075926966273) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.3610138018628081) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.4828075926966273) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.5975944091625586) q[4];
cx q... | null | {"node": 11} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(1.5708) q[2], 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... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIIIIIZIIZII",
"IIIIIIZZIIII",
"IIIIIZIIIIZI",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIZIIIIIZI",
"IIIIZIIIIIIZ",
"IIIIZIIII... | [
-4,
2,
-4,
-3,
-4,
1.5,
-4,
-3.5,
-3.5,
1.5,
-4,
-3.5,
-4,
-4,
-3.5,
1.5,
-3.5,
-3,
1,
-3,
-3.5,
-3.5,
1.5,
-4,
-3,
1,
1.5,
0.5,
-2,
1,
-2.5,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
1,
-1.5,
1.5
] | 0.552739 | [
-0.4828075926966273,
-0.3610138018628081,
-0.5975944091625586,
-0.3351134051692711,
-0.5421678906558696,
-0.27376840003719866,
-0.07234115530952664,
-0.8464789330465069,
-0.4736497491298259,
-1.0808404186223126,
-1.1067725805740527
] | {
"n_parameters": 11,
"n_qubits": 12,
"optimal_eigenvalue": -66.5,
"target_ratio": 0.97,
"target_value": -64.505
} | 266 |
fb0d1a33da7ca6be14bb54cb889ac634 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "... | {"states": [4095, 4094], "expectation_value": -28.027162141277824, "params": [[[-0.0375, 3.1616], [-0.0027, 0.0026000000000000003], [-0.0028, 0.0018000000000000002], [0.0027, -0.0029000000000000002], [0.0021000000000000003, 0.0024000000000000002], [0.0021000000000000003, 0.0021000000000000003], [0.0025, 0.0022], [0.002... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + 1.0 * (Z(10) @ Z(8)) + -2.0 * (Z(10) @ Z(7)) + -2.0 * (Z(9) @ Z(8)) + 1.0 * (Z(9) @ Z(7)) ... | 15 | 12 | 1 | {"smallest_eigenvalues": [-28.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.5, "smallest_bitstrings": ["000000000001"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.06926636906867803) q[0];
ry(0.04804820883287743) q[1];
ry(-0.017325275581197376) q[2];
ry(-0.01071585503442219) q[3];
ry(-0.018922830636044028) q[4];
ry(-0.018922830636044028) q[5];
ry(-0.01884961783455683) q[6];
ry(-0.09158754326114703) q[7];
ry(-0.1350866547356... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"node": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIZIZIIII",
"IIIIIZIIZIII",
"IIIIIZZIIIII",
"IIIZZIIIIIII",
"IZIZIIIIIIII",
"IZIIZIIIIIII",
"IIZZIIIIIIII",
"IIZIZIIIIIII",
"IZZIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIII... | [
-1.5,
-1.5,
-1.5,
-2,
-2,
-2,
-2,
-2,
-2,
-2,
1,
-2,
-2,
1,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.975856 | [
-0.06926636906867803,
0.04804820883287743,
-0.017325275581197376,
-0.01071585503442219,
-0.018922830636044028,
-0.01884961783455683,
-0.09158754326114703,
-0.13508665473560433,
0.03747825717565785,
-1.725235949662502,
-0.11746372962927105,
3.1360359372935296,
-0.05369426759060371,
0.083602... | {
"n_parameters": 16,
"n_qubits": 12,
"optimal_eigenvalue": -28.5,
"target_ratio": 0.97,
"target_value": -27.645
} | 1 |
4d778fc08d555f5d794c80ebdd4cf032 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "s... | {"states": [0, 1], "expectation_value": -12.640629290564304, "params": [0.0047, -0.11410000000000001, -0.0021000000000000003, -0.14170000000000002, 0.0043, -0.1506, 0.0022, -0.1482, 0.0018000000000000002, -0.14150000000000001, 0.003, -0.14930000000000002, 0.0026000000000000003, -0.15280000000000002, 0.0025, -0.1512, 0.... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + 2.75 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(6)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ ... | 5 | 9 | 4 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.12632010655421677) q[0];
rz(1.8578626502860658) q[0];
rx(-0.000669354581534873) q[1];
rz(2.0703142827695533) q[1];
rx(0.0270665271796058) q[2];
rz(1.7439616172522454) q[2];
rx(0.024827761160138635) q[3];
rz(2.2582094671703317) q[3];
rx(-0.1257776751083039) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIZIIII",
"IZIIIIIIZ",
"IZZIIIIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZZIIII",
"IZIZIIIII",
"IIIIIIZZI",
"IIIIZIZII",
"IZIIIIZII",
"ZIIIIIZII",
"IIIIIZZII",
"IIIIIIIZI",
"... | [
-0.75,
-0.5,
-0.75,
-0.5,
-0.5,
-1,
-0.5,
-0.75,
2.75,
-0.75,
-0.25,
-1.5,
-0.25,
-1,
-0.75,
-0.5,
-0.75,
-0.75,
-0.75,
-0.25,
-0.75,
-0.25,
0,
0.5,
0.25,
1.25,
-0.5,
-1,
0.5
] | 0.985832 | [
-0.12632010655421677,
0.28706632349116823,
-0.0006693545815348728,
0.4995179559746564,
0.0270665271796058,
0.17316529045734858,
0.024827761160138635,
0.6874131403754353,
-0.12577767510830393,
0.39459743160431243,
0.06753267216512844,
0.6803025278602091,
0.022585476584377165,
0.343210858297... | {
"n_parameters": 70,
"n_qubits": 9,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 7 |
7e799239f8573f120a2c5e15cda2e88f | edge_cover | 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": -2.2695307223734322, "params": [1.6099, 0.0037, -0.0027, 0.0014, 0.0025, 0.0047, 0.0029000000000000002, 0.005200000000000001, 0.0068000000000000005, 0.007200000000000001, 0.0058000000000000005, 0.0054], "bitstrings": ["1111", "0111"], "total_optimization_steps": 160, "probabiliti... | 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) | 18 | 4 | 1 | {"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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[4] c;
qubit[4] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} | [
"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 |
4689e6baa9337348674476b483dca2ad | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": ... | {"states": [892, 1022], "expectation_value": -1.8616646124877494, "params": [[0.058800000000000005], [-0.054900000000000004]], "bitstrings": ["0010000011", "0000000001"], "total_optimization_steps": 10, "probabilities": [0.0015732445986246805, 0.00159237027335367], "optimization_time": 2.5058374404907227} | -2.0 * (Z(0) @ Z(1)) + -3.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -2.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + -3.0 * (Z(7) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(7)) + -2.0 * (Z(5) @ Z(3)) + 1.0 * (Z(6) @ Z(1)) + -3.0 ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-27.5, -27.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -26.5, "smallest_bitstrings": ["0010000011", "0000000001"], "largest_eigenvalue": 24.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-3.3228763645460413) q[0];
ry(-0.01773290141183173) q[1];
ry(0.03795157073497386) q[2];
ry(0.05954017786066649) q[3];
ry(0.006034717495027181) q[4];
ry(0.19316359119073634) q[5];
ry(-0.024658318547400224) q[6];
ry(0.004600627227603411) q[7];
ry(-2.782875244417673) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZIIZIIII",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIZIIIZIII",
"IIIIZIIIZI",
"IIIIZZIIII",
"IIZIZIIIII",
"IIIIZIZIII",
"IIIZIIIIZI",
"IIIZIZIIII",
"IIZZIIIIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IZIIIIIZII",
"ZZIIIIIIII"... | [
-2,
-3.5,
0.5,
-2.5,
0.5,
-3,
0.5,
-3,
0.5,
0.5,
-3,
1,
-2,
1,
-3,
-2.5,
1,
-2.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
-1
] | 0.97527 | [
-3.3228763645460413,
-0.01773290141183173,
0.03795157073497386,
0.05954017786066649,
0.006034717495027181,
0.19316359119073634,
-0.024658318547400224,
0.004600627227603411,
-2.782875244417673,
0.0919316310973307,
0.17740334633958119,
3.2112244802381613,
0.04577857084611302,
-0.049895471350... | {
"n_parameters": 17,
"n_qubits": 10,
"optimal_eigenvalue": -27.5,
"target_ratio": 0.97,
"target_value": -26.675
} | 58 |
4cc8eef9b6fdc5c2ca5546358a0fc6ad | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 7}, {"source": 2, "target": 6}, {"source": 2, "target": 7}, {"source": 2, "target": 3}, {"sour... | {"states": [291, 295], "expectation_value": -4.65623953173679, "params": [0.302, 0.30670000000000003, 0.0122, 0.0115, -0.0028, -0.0012000000000000001, 0.30410000000000004, 0.3007, -0.0117, -0.0108, -0.0035, -0.0018000000000000002, 0.2414, 0.2386, 0.3035, 0.3055, 0.2982, 0.303, 0.3045, 0.30660000000000004, 0.01500000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(5)) + -0.5 * Z(1) + 0.0 * Z(0) + -0.5 * Z(7) + -1.0 * Z(2) + -1.0 * Z(6) + 0.0 * Z(3) + -1.0 * Z(4) + -1.0... | 13 | 9 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["011011000"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.48438920550922865) q[0];
rz(0.05646932832420613) q[0];
ry(0.08684357608068717) q[1];
ry(0.0033142690462037716) q[2];
ry(0.31622688150991085) q[3];
ry(0.056397652462517746) q[4];
ry(-0.07696843050272098) q[5];
ry(0.13229512635096288) q[6];
ry(0.34183059264447907) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IZIIIIIZI",
"IZIIIIZII",
"IIZIIIZII",
"IIIIIZZII",
"IIZIZIIII",
"IIZZIIIII",
"IIIZZIIII",
"ZIIIZIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIIIIZII",
"IIZIIIIII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"ZIIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-0.5,
-1,
-1,
0,
-1,
-1,
-0.5
] | 0.972626 | [
0.48438920550922865,
0.08684357608068717,
0.0033142690462037716,
0.31622688150991085,
0.056397652462517746,
-0.07696843050272098,
0.13229512635096288,
0.34183059264447907,
0.4952524411198268,
0.11293865664841227,
0.07364258630230955,
-0.3138857787388515,
-0.027876626906029378,
-0.193359549... | {
"n_parameters": 134,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 9 |
a1d30927e8d1c8c726712f7d85b25667 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 4, "source": 3, "target": 7}, {"capacity": 1, "source": 4, ... | {"states": [95, 127], "expectation_value": -0.8517245312033137, "params": [[-0.0438, -0.0044, -0.023, -0.017400000000000002], [0.0752, 0.02, 0.0222, 0.021]], "bitstrings": ["10100000", "10000000"], "total_optimization_steps": 10, "probabilities": [0.0056442953825492324, 0.005720737041651297], "optimization_time": 6.356... | -1.0 * (Z(0) @ Z(3)) + -1.75 * (Z(1) @ Z(6)) + -1.0 * (Z(7) @ Z(3)) + 1.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(6)) + -0.25 * (Z(2) @ Z(4)) + -0.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * Z(3) + -0.25 * Z(0) + 1.5 * Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -6.75, "smallest_bitstrings": ["10100000", "10010000", "10000000", "10110000", "10111000"], "largest_eigenvalue": 13.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7388502636479408) q[0];
h q[1];
ry(0.8364853737259059) q[1];
h q[2];
h q[3];
h q[4];
ry(0.787806496993027) q[4];
h q[5];
ry(1.5530979908529392) q[5];
h q[6];
ry(1.5530979908529392) q[6];
cx q[6], q[1];
ry(-0.8364853737259059) q[1];
cx q[6], q[1];
h 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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IZIIIIZI",
"ZIIIZIII",
"ZIIIIIIZ",
"ZZIIIIII",
"IIIZZIII",
"IZIZIIII",
"IIIZIZII",
"IIZIZIII",
"IZZIIIII",
"IIZIIIZI",
"ZIZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIIZIIII",
"IIIIIZII",
"IIZIIIII"
] | [
-1,
-1.75,
-1,
1.25,
-0.75,
-0.25,
-0.75,
-0.25,
-0.25,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
1.5,
-1.5,
-1,
-0.25,
-0.25,
2.25
] | 0.972173 | [
1.5530979908529392,
1.6729707474518118,
-1.4777005272958816,
1.0428584261011464,
-0.5387470518195514,
1.575612993986054,
0.2895910452877033,
-0.14095535837536688,
0.12654572147272122,
0.0819225196994189,
0.10364277040264942,
0.26808859046062694,
-0.06220001776916481,
-0.12253649147198077,
... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 1 |
04fe200220cb0278b572d83172c75de9 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 6... | {"states": [63, 1], "expectation_value": -0.5638741797471352, "params": [[0.07880000000000001], [-0.0826]], "bitstrings": ["1000000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.010773718248221275, 0.011436716862642835], "optimization_time": 1.743319034576416} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(5) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * Z(1) + -0.25 * Z(0) + -1.5 * Z(2) + -0.75 * Z(5) + 0.75 * Z(6) + 0.0 * Z(3) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["1111110", "1111010"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.06130815730018118) q[0];
rz(0.463469290764003) q[0];
rx(-0.07581104059622698) q[1];
rz(0.0489247887747748) q[1];
rx(-0.011251041592074667) q[2];
rz(-0.5619835883705591) q[2];
rx(-0.00789090442000682) q[3];
rz(0.27967715048844255) q[3];
rx(0.20171769347520233) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IZIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"IIIZIZI",
"IIIZZII",
"IZIZIII",
"IIZIIZI",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
-0.75,
-1,
-1.25,
1,
-0.25,
-0.75,
-0.75,
-0.5,
-1,
-1,
-0.25,
-0.25,
-1.5,
-0.75,
0.75,
0,
2
] | 0.976998 | [
-0.061308157300181174,
0.30964234416005165,
-0.07581104059622698,
-0.17585963221822506,
-0.01125104159207467,
-0.4382858872484008,
-0.007890904420006818,
0.39046647275242663,
0.2017176934752023,
-0.3470176638746595,
0.08692341497440934,
-0.309682958908232,
0.7849760118838354,
0.03717952235... | {
"n_parameters": 71,
"n_qubits": 7,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 5 |
fb3d5aafe0e919d29df46a0781cc0467 | 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": [180, 181], "expectation_value": -75.54011355731878, "params": [[[1.1117000000000001, -0.0031000000000000003], [0.9753000000000001, 0.0032], [0.2441, 0.0], [1.0842, -0.0025], [1.1302, -0.0018000000000000002], [-0.2353, 0.001], [1.322, -0.083], [-0.6305000000000001, 0.2031], [0.669, 0.8216]], [[0.494000000000... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(4) @ Z(0)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(2)) + 17.5 * Z(1) + 3.5 * Z(0) + 7.0 * Z(2) + 20.5 * Z(3) + 12... | 15 | 9 | 3 | {"smallest_eigenvalues": [-82.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["101001010"], "largest_eigenvalue": 148.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.3077223283025219) q[0];
ry(0.9937500145931607) q[1];
ry(0.46237809659927553) q[2];
ry(0.7509155849514386) q[3];
ry(1.150028367078165) q[4];
ry(-0.2801504591738597) q[5];
ry(1.7588691069750124) q[6];
ry(-0.47402531722363067) q[7];
ry(0.4180353525263799) 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] 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]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIZIII",
"IIZZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"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,
17.5,
3.5,
7,
20.5,
12,
9.5,
14.5,
-3.5,
1
] | 0.973262 | [
1.3077223283025219,
0.9937500145931607,
0.46237809659927553,
0.7509155849514386,
1.150028367078165,
-0.2801504591738597,
1.7588691069750124,
-0.47402531722363067,
0.4180353525263799,
0.09279854924556788,
0.015430152470377895,
0.06782062366321084,
0.032514142756233155,
-0.1788923765744982,
... | {
"n_parameters": 52,
"n_qubits": 9,
"optimal_eigenvalue": -82,
"target_ratio": 0.97,
"target_value": -79.53999999999999
} | 28 |
cbea2a0bad77c88d1e69497e2bb1bc1a | 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": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [172, 236], "expectation_value": -4.530452343682094, "params": [[[0.6099, -0.002], [0.5972000000000001, 0.0035], [0.6039, -0.0009000000000000001], [-0.0071, -0.3229], [0.6081, 0.0006000000000000001], [0.6086, 0.0033], [0.1621, -0.2298], [-0.0095, -0.3124]], [[0.6077, -0.002], [0.6023000000000001, -0.0035], [... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(7) + -1.0 * Z(1) + -0.5 * Z(6) + -0.5 * Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["00010011"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(1.6380597863670996) q[0];
ry(2.583540181426315) q[0];
rz(-1.2947596103185233) q[0];
rz(1.8799453518549232) q[1];
ry(3.040845839889603) q[1];
rz(-1.0181421266646375) q[1];
rz(1.3694195798856095) q[2];
ry(2.890154063572237) q[2];
rz(-1.86116885834769) q[2];
rz(-0.07013... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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",
"ZIIIIIIZ",
"IIIIZIZI",
"ZIIIIIZI",
"IZIIIIZI",
"IIIIZZII",
"ZIIIIZII",
"IIIZZIII",
"ZIIZIIII",
"IIZIZIII",
"IZZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IZIIIIII",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.970488 | [
1.0540667682057578,
0.02308301975252673,
0.8223752895380981,
-0.0349347094401619,
0.9553698924118301,
-0.027212609960526896,
-0.2100412547506473,
-0.3373141891702994,
0.9174669626425052,
0.032935154568522376,
1.133519442114693,
-0.03664606989433225,
0.016602807670070004,
-0.262833072850780... | {
"n_parameters": 42,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 13 |
fd959b015d7c5b50b2cd05831ed95a60 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [42, 44], "expectation_value": -3.9998997805961802, "params": null, "bitstrings": ["010101", "010011"], "total_optimization_steps": 28, "probabilities": [1.7124002311537545e-05, 0.9999499582800139], "optimization_time": 25.62256407737732} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(5) + 0.0 * Z(0) + -1.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "010011"], "largest_eigenvalue": 9.0} | 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(-0.2814273479283241) q[0];
cx q[5], q[0];
rz(0.988627421386453) q[0];
rx(-1.6100914394477277) q[0];
cx q[5], q[1];
rz(-0.2814273479283241) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(-0.2814273479283241) 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(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"ZIIIIZ",
"ZIIIZI",
"ZIIZII",
"IIIZZI",
"ZIZIII",
"IIZIZI",
"IZIZII",
"IZZIII",
"ZIIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-1,
-1,
-0.5
] | 0.793132 | [
-0.2814273479283241,
-2.083999084261337,
0.9886274213864532,
-0.2943566891904666,
-0.17545221926890683,
-1.6100914394477277,
0.44025124807503524,
1.5189639182857877,
-0.6158615151039641,
-0.2722032415841509,
-0.7056736669533165
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 249 |
3858556329495993786 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[3, 4], [0, 3], [1, 2], [1, 3], [0, 4]]} | {"states": [9, 25], "expectation_value": -1.340069727805974, "params": null, "bitstrings": ["10110", "00110"], "total_optimization_steps": 28, "probabilities": [0.3346406274923379, 0.4956746018277389], "optimization_time": 16.987759590148926} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -0.5, "smallest_bitstrings": ["11001", "11000", "10110", "01001", "00111", "00110"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.6789027498264014) q[3];
cx q[4], q[3];
cx q[4], q[0];
rz(0.6789027498264014) q[0];
cx q[4], q[0];
cx q[3], q[0];
rz(0.6789027498264014) q[0];
cx q[3], q[0];
rz(-2.8260207063368625e-08) q[0];
rx(-0.6797837929276... | 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];\ncry(-1.0342) q[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... | [
"ZZIII",
"ZIIIZ",
"IZIIZ",
"IZIZI",
"IIZZI",
"ZIIII",
"IZIII",
"IIIIZ",
"IIIZI",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.633328 | [
0.6789027498264014,
-2.8260206993370597e-8,
-0.6797837929276856
] | {
"n_parameters": 3,
"n_qubits": 5,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 104 |
a7fe9655fedac9f37abdc7d4a012da3d | 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}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [426, 234], "expectation_value": -11.012211791163391, "params": [[-0.0244, -0.033], [0.0279, 0.0609]], "bitstrings": ["001010101", "100010101"], "total_optimization_steps": 10, "probabilities": [0.005048300662593405, 0.0050868544325872525], "optimization_time": 7.17612624168396} | 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(5) @ Z(2)) + 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(6) @ Z(1)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 10.0 * Z(0) + 15.5 * Z(2) + 12.5 * Z(1) + 19.5 * Z(5) + ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 159.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(1.2790384476836998) q[0];
ry(3.0002491490684897) q[0];
rz(-2.031654340180219) q[0];
rz(1.490504217951405) q[1];
ry(0.10138309172821829) q[1];
rz(-1.9026069027207688) q[1];
rz(-2.8016043199304006) q[2];
ry(2.860913433082975) q[2];
rz(0.27275306655222664) q[2];
rz(-0.9... | 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIZIIZII",
"IIIIIZIIZ",
"IIIZIZIII",
"IIIZZIIII",
"IIIIZZIII",
"IIZIIIIZI",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIIZIII",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
10,
15.5,
12.5,
19.5,
15,
4,
0.5,
13.5,
-8.5
] | 0.97645 | [
1.2301513440425897,
-0.021793986393531223,
0.08711383020311662,
-0.11369424043079654,
1.1704140022789695,
0.15212594734457377,
-0.06736676122343682,
-0.8290514795560854,
-0.10888137604159033,
-0.21619727330157346,
0.8132006335726836,
0.07917705693021121,
0.9259403780693289,
0.1231523904464... | {
"n_parameters": 47,
"n_qubits": 9,
"optimal_eigenvalue": -61,
"target_ratio": 0.97,
"target_value": -59.17
} | 25 |
d55d504e597705d8581d37ec0d2e41ca | 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": 1}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 1, "target": 6... | {"states": [64, 63], "expectation_value": -0.24652961607658463, "params": [[-0.061900000000000004, -0.025400000000000002], [0.07390000000000001, 0.0511]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.009779278214032213, 0.010168519309715676], "optimization_time": 2.387223243... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(5)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + 0.75 * Z(1) + -0.25 * Z(0) + -0.5 * Z(6) + -0.5 * Z(5) + -0.5 * Z(2) + 0.75 * Z(3) + 0.25 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["1000000", "1010010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6828792687147329) q[0];
h q[1];
ry(1.5288445153467216) q[1];
h q[2];
h q[3];
ry(1.5288445153467216) q[3];
h q[4];
ry(1.4916621282624816) q[4];
h q[5];
ry(0.7458310641312408) q[5];
cx q[2], q[5];
ry(-0.7458310641312408) q[5];
cx q[2], q[5];
ry(0.59828678975... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"ZIIIIZI",
"ZIIIIIZ",
"IZIIIZI",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"ZIZIIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"ZIIIIII",
"IZIIIII",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
-0.25,
-0.75,
0.5,
-0.5,
-1,
-0.5,
-0.25,
-0.25,
-0.25,
0.75,
-0.25,
-0.5,
-0.5,
-0.5,
0.75,
0.25
] | 0.989602 | [
1.5288445153467216,
1.4916621282624816,
1.550097850061895,
-1.3657585374294658,
1.196573579508862,
0.11369926623801563,
-0.014047065055423413,
0.09207660432302629,
-0.10038361002430576,
0.08382100900060677,
0.15687837360702134,
-0.10724578865064746,
0.0600104112675679,
0.05940034969983188,... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 1 |
800f779aab5ac71650acd9af8d6964c8 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [69, 7], "expectation_value": -22.864627285265637, "params": null, "bitstrings": ["10111010", "11111000"], "total_optimization_steps": 87, "probabilities": [0.1081261806680195, 0.6151537257450127], "optimization_time": 200.85172533988953} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 4 | 8 | 4 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.43263153788651865) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.33347793652408547) q[1];
h q[2];
ry(-0.33347793652408547) q[2];
ry(-0.18921776981409477) q[3];
rz(-pi) q[3];
ry(-0.9937012523290137) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[2];
ry(0.33347793652408547) q[2];
cx q[... | null | {"k": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.7752) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
2.75,
3,
3,
2.75,
-7,
-7,
-7,
-7.25,
-7.25,
-6.5,
-6.5,
-6.5
] | 0.974682 | [
-1.2455998084576945,
-0.37817131988348546,
-0.795027545328284,
-0.3978475091647948,
-0.27195749704621475,
-0.6669558730481709,
1.361511014481087,
1.3396044443315112,
-0.686274487160188,
1.0423394202220775,
-0.35908583330767535,
-0.2925604938850007,
-0.6062823621828345,
-0.4677930098758491,... | {
"n_parameters": 57,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 23 |
cb062721dac4169aab18a52cd1a3a4b2 | 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": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 3}, {"sour... | {"states": [338, 466], "expectation_value": -6.594350667551384, "params": [1.6088, 0.0005, 1.6027, 0.004, 1.6092000000000002, 0.0077, 0.032100000000000004, 0.0071, 1.6121, 0.0032, -0.0194, 0.006500000000000001, 0.0034000000000000002, 0.0056, 1.6114000000000002, 0.0077, 0.0023, 0.0015, 0.0056, 0.0043, 0.0092, 0.0011, 0.... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-9.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.0, "smallest_bitstrings": ["000101101"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(2.8843484871257794) q[0];
rz(0.03765296183160949) q[0];
rx(-3.0632187223722225) q[1];
rz(-0.37824911732659316) q[1];
rx(-2.5194402916420056) q[2];
rz(-0.43426333829080654) q[2];
rx(0.01639704075138283) q[3];
rz(0.7335285734585035) q[3];
rx(3.0174788275159408) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIZIIIIZ",
"IIZIIZIII",
"IIZIIIIIZ",
"IIZZIIIII",
"ZIIIIIIIZ",
"ZIIZIIIII",
"ZIZIIIIII",
"IIIIIZIZI",
"IIIIIZZII",
"IIIZIIZII",
"ZIIIIIZII",
"IIIZZIIII",
"IIZIZIIII",
"ZIIIZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIZIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-2,
-2.5,
-2.5,
0,
-1,
-1,
-0.5
] | 0.978901 | [
2.8843484871257794,
-0.005166024603173003,
3.219966584807364,
-0.40306504344574384,
3.7637450155375807,
-0.5360263213022786,
0.016397040751382826,
0.7380814894545703,
3.0174788275159408,
-1.1349435422388903,
0.166538204600868,
-0.3165704125928169,
0.0862156227442935,
0.08563797286956493,
... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 21 |
7315cffe0b5dede12a8ac7922de6354f | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 3}, {"capacity": 3, "so... | {"states": [7292, 7420], "expectation_value": -37.32317350749784, "params": [-1.8356000000000001, 0.006200000000000001, -1.6319000000000001, 0.003, -1.6318000000000001, 0.0027, 0.0021000000000000003, 0.0081, 0.0023, 0.0039000000000000003, 1.5865, 0.0034000000000000002, 2.7987, 0.0037, 2.8028, 0.0014, 2.8002000000000002... | -0.5 * (Z(0) @ Z(5)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(0)) + 2.0 * (Z(7) @ Z(5)) + -1.0 * (Z(7) @ Z(0)) + 4.0 * (Z(7) @ Z(6)) + -1.0 * (Z(1) @ Z(5)) + 0.875 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(6)) + -2.0 * (Z(1) @ Z(7)) + -1.0 * (Z(2) @ Z(5)) + 0.875 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(6)) + -2.0 * (Z(2) @ Z(7)) +... | 18 | 13 | 1 | {"smallest_eigenvalues": [-44.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.0, "smallest_bitstrings": ["0001100000011"], "largest_eigenvalue": 145.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(0.8461017394804872) q[0];
rz(-0.09828752457631751) q[0];
rx(0.8931785267418078) q[1];
rz(0.15878390029985712) q[1];
rx(1.0052116065928407) q[2];
rz(0.04784005170967623) q[2];
rx(-0.07283377410257255) q[3];
rz(-1.0534473927958765) q[3];
rx(-0.1344251143164993) 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": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIIZ",
"IIIIIIZZIIIII",
"IIIIIIZIIIIIZ",
"IIIIIZIZIIIII",
"IIIIIZIIIIIIZ",
"IIIIIZZIIIIII",
"IIIIIIIZIIIZI",
"IIIIIIIIIIIZZ",
"IIIIIIZIIIIZI",
"IIIIIZIIIIIZI",
"IIIIIIIZIIZII",
"IIIIIIIIIIZIZ",
"IIIIIIZIIIZII",
"IIIIIZIIIIZII",
"IIIIIIIIIIZZI",
"IIIIZIIZIIIII",
"IIIIZIZIIII... | [
-0.5,
2,
-1,
2,
-1,
4,
-1,
0.875,
-2,
-2,
-1,
0.875,
-2,
-2,
1.75,
0.5,
1,
1,
-0.5,
1,
2,
2,
2,
-1,
1,
2,
2,
2,
-1,
4,
-1,
0.875,
-2,
-2,
0.5,
-0.5,
1,
1,
-1,
1,
-1,
2,
2,
-2,
1,
5,
-0.3125,
10,
10,
-0.625,
-0.625,
... | 0.973262 | [
0.8461017394804872,
0.20687923176311931,
0.8931785267418078,
0.15878390029985712,
1.0052116065928407,
0.04784005170967623,
-0.07283377410257255,
-1.0534473927958765,
-0.1344251143164993,
-1.003750995246472,
0.6779590460870614,
0.18859212465208747,
1.198491431850985,
-0.030026211261719803,
... | {
"n_parameters": 111,
"n_qubits": 13,
"optimal_eigenvalue": -44.625,
"target_ratio": 0.97,
"target_value": -43.286249999999995
} | 2 |
43d405fe1a5c36977ae154a616c9f600 | 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": [679, 678], "expectation_value": -42.73644657099233, "params": [0.40130000000000005, 0.4045, 0.0863, 0.0784, 0.39730000000000004, 0.40090000000000003, 0.1892, 0.1948, 0.39890000000000003, 0.40290000000000004, -0.0061, -0.0028, 0.17700000000000002, 0.15660000000000002, 0.4002, 0.3966, 0.3986, 0.40190000000000... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(7) @ Z(3)) + 7.0 * (Z(9) @ Z(7)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(8) @ Z(9)) + 7.0 * (Z(6) @ Z(8)) + -2.5 * Z(1) + -1.0 * Z(0) + 3.0 * Z(3) + 2.0 * Z(2) + -3.5 * Z(5) + -1.5 * Z(4) + 15.5 * Z(7) + 4.0 * Z(9) + 12.5 * Z(8) + -3.0 * Z(6) | 14 | 10 | 3 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["0101011001"], "largest_eigenvalue": 98.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.37310097569685313) q[0];
rz(pi/2) q[0];
ry(0.13652255972773295) q[1];
ry(0.3642599020669667) q[2];
ry(0.20714572412539584) q[3];
ry(0.22866168873762918) q[4];
ry(0.10346055606560015) q[5];
ry(0.022764158511441895) q[6];
ry(0.4784083542015173) q[7];
ry(0.3470885643... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIZZIIII",
"IIZIIIZIII",
"ZIZIIIIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"IZIZIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIZIIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIIZIIIIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
-2.5,
-1,
3,
2,
-3.5,
-1.5,
15.5,
4,
12.5,
-3
] | 0.97461 | [
0.37310097569685313,
0.13652255972773295,
0.3642599020669667,
0.20714572412539584,
0.22866168873762918,
0.10346055606560015,
0.022764158511441895,
0.4784083542015173,
0.3470885643211948,
-0.17013255368857977,
0.062433768926732566,
0.07148287331231694,
-0.03916403699005325,
0.37362431188344... | {
"n_parameters": 115,
"n_qubits": 10,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 24 |
0576f6308603f18731ff58dc6a3ed219 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [1906, 2034], "expectation_value": -2.2025436357974115, "params": [[0.31670000000000004, 1.9934, 0.0, 1.5829, -0.0016, 1.5993000000000002, -0.0043, 1.6153000000000002, 1.2769000000000001, 0.0194, 1.9799, 0.0668], [0.5263, 1.0559, 1.9986000000000002, 1.5525, 1.5937000000000001, 1.5357, 1.9959, 0.8686, 0.7759,... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 10 | 12 | 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, -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... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2781849421185363) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.2781849421185363) q[4];
cx q[1], q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(0.2781849421185363) q[2];
cx q[1], q[2];
rz(0.2781849421185363) q[4];
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": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZZZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIIZ",
"IIIIIIZIIIIZ",
"IIIIIIIZZIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIIIZZIIZ",
"IIIIIIZIZIIZ",
"IIIIIIZZIIIZ",
"IIIIIIZZZIII",
"IIIIIIZZZIIZ",
"IIIIIZIIZIII",
"IIIIZIIIZIII",
"IIIZIIIIZ... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.2... | 0.641713 | [
0.2781849421185363,
-1.0227487688265837,
-0.6583764467071487,
-0.9349393255613208
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 117 |
a617cd4648156ddc77f993201a7a952c | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [21, 7], "expectation_value": -23.04861595515255, "params": null, "bitstrings": ["11101010", "11111000"], "total_optimization_steps": 84, "probabilities": [0.1117387711381538, 0.6314404591857681], "optimization_time": 156.47544074058533} | 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)) + 3.0 * (Z(5) @ Z(3)) + 3.... | 11 | 8 | 3 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.016051595018557085) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.016051595018557085) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.016051595018557085) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.016051595018557085) q[3];
cx q[1], ... | null | {"k": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.7752) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
2.75,
2.75,
-7,
-7.25,
-7,
-7,
-7,
-6.25,
-6.25,
-6.75
] | 0.976479 | [
0.016051595018557085,
-0.044725556110224884,
-1.5942489739862034,
-1.511915062604028,
1.942486051428569,
1.7812596979441973,
-1.4758902744393279,
0.463896267873675,
0.4666780978923133,
-1.0713581426797705,
-2.0979600597052888,
1.374106261390757,
-0.36896266833425195,
0.11673470776900458,
... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 78 |
37fd0d00df56c96829f53fc9062c7a92 | 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": 3, "target": 4}, {"source": 5, "target":... | {"states": [511, 479], "expectation_value": -23.01674721631948, "params": [[[-0.002, 3.1590000000000003], [0.0019, 0.002], [0.0021000000000000003, 0.002], [1.6063, 0.0026000000000000003], [0.0024000000000000002, -0.0024000000000000002], [-0.0034000000000000002, 0.0029000000000000002], [0.0023, 0.0026000000000000003], [... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.5 * (Z(4) @ Z(6)) + -2.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(4)) + -2.5 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(7)) + -2.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) ... | 15 | 9 | 1 | {"smallest_eigenvalues": [-23.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["000100000"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.026368551421193393) q[0];
ry(0.02972543334882751) q[1];
ry(0.1172258454364743) q[2];
ry(1.8104333099776113) q[3];
ry(-0.02524113285519608) q[4];
ry(0.011440976211003281) q[5];
ry(-0.008422346204705868) q[6];
ry(0.04492324363649814) q[7];
ry(-0.008422346204705868) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] ... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIZIZIIII",
"IZZIIIIII",
"IZIIZIIII",
"ZIZIIIIII",
"ZIIIZIIII",
"ZZIIIIIII",
"IIZZIIIII",
"IIIZZIIII",
"IZIZIIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIZIIIIII",
"IIIIZIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIZIIIII",
"... | [
-1.5,
-1.5,
-1.5,
-2.5,
-2.5,
-2,
-2.5,
-2,
-2,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.974039 | [
0.026368551421193393,
0.02972543334882751,
0.1172258454364743,
1.8104333099776113,
-0.02524113285519608,
0.011440976211003281,
-0.008422346204705868,
0.04492324363649814,
2.9958511987116987,
-0.07939413025295046,
-0.03202377562933607,
0.007587259601934225,
-0.05630875852283229
] | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -23.5,
"target_ratio": 0.97,
"target_value": -22.794999999999998
} | 3 |
1169fb260e2f1ef5a52dd042ed0eaf88 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [175, 167], "expectation_value": -63.17323413952468, "params": [1.4936, 0.2901, 0.5233, 0.5768, 1.4914, 0.24580000000000002, 0.6272, 0.47250000000000003, 0.7695000000000001, -0.35600000000000004, 1.4891, -0.0088, 1.4925000000000002, 0.0044, 1.4907000000000001, 0.0004, 1.4915, 0.0049, 0.5269, 0.0033, 1.488900... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(6) @ Z(3)) + 6.0 * (Z(4) @ Z(0)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(4) @ Z(6)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(7) @ Z(3)) + 6.0 * (Z(7) @ Z(6)) + 15.0 * Z(0) + 5.0 * Z(1) + 16.0 * Z(2) + 8.5 * Z(3) + 19... | 18 | 8 | 2 | {"smallest_eigenvalues": [-81.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.0, "smallest_bitstrings": ["01011000"], "largest_eigenvalue": 173.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.4761323377603568) q[0];
rz(0.4048718907652038) q[0];
rx(-0.042381467403931464) q[1];
rz(0.8803876532948938) q[1];
rx(1.283973444355167) q[2];
rz(0.40956061356900914) q[2];
rx(-0.022794355166702363) q[3];
rz(0.755364081122509) q[3];
rx(0.11092235853275619) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZZII",
"IZIIZIII",
"IIIZIIIZ",
"IIIZIZII",
"IZIZIIII",
"IIZIIIZI",
"IZZIIIII",
"IIZZIIII",
"ZIIIZIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
15,
5,
16,
8.5,
19,
14.5,
14,
9
] | 0.97423 | [
1.476132337760357,
0.34967682482973084,
-0.042381467403931464,
0.8803876532948938,
1.283973444355167,
0.40956061356900914,
-0.022794355166702363,
0.755364081122509,
0.11092235853275619,
-0.32817484705132016,
1.9155634743331813,
-0.0315735986199662,
1.5289245572705814,
0.0672755908706951,
... | {
"n_parameters": 47,
"n_qubits": 8,
"optimal_eigenvalue": -81,
"target_ratio": 0.97,
"target_value": -78.57
} | 15 |
1b85dbadf49d5e00f9e47be861e776c4 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [3577, 3545], "expectation_value": -3.3106663699908805, "params": [0.3715, 0.3593, 0.37770000000000004, 0.3748, 0.001, 0.0023, 0.3785, 0.3864, 0.3713, 0.37770000000000004, 0.364, 0.3582, 0.109, 0.10840000000000001, 0.374, 0.37120000000000003, 0.3766, 0.37820000000000004, 0.00030000000000000003, 0.0082, -0.00... | 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... | 14 | 12 | 4 | {"smallest_eigenvalues": [-4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -3.0625, "smallest_bitstrings": ["100000001110", "000100100110", "100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.13453324330091465) q[0];
rz(1.0753513770848593) q[0];
rx(2.975746346254277) q[1];
rz(-0.6781668590082865) q[1];
rx(-0.2367256632155181) q[2];
rz(-0.22310665326415446) q[2];
rx(2.89712186884282) q[3];
rz(-0.1081053917582111) q[3];
rx(0.3607917338098562) 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] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"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,
0.125,
0.125,
0.125,
0.125,
0.125,
... | 0.974192 | [
-0.13453324330091465,
1.0753513770848593,
2.975746346254277,
-0.6781668590082865,
-0.2367256632155181,
-0.22310665326415446,
2.89712186884282,
-0.1081053917582111,
0.3607917338098562,
3.4678529874554633,
1.0387317108088614,
-0.09274751190222191,
-0.35032557567080463
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 16 |
4526862989461560585 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 4, 5, 7], [1, 3, 4], [1, 2, 6], [0, 2, 4, 5, 7], [0, 3, 5], [0, 1, 2, 7], [0, 1, 4, 5], [5, 6], [0, 1, 2, 3]]} | {"states": [116, 117], "expectation_value": -2.436628252419103, "params": [-0.0026000000000000003, -2.0636, 2.5228, -0.0025, 2.6227, -0.0028, 3.1443000000000003, -0.0334, 4.2164, 0.0031000000000000003, 3.1443000000000003, 0.7409, -0.0025, 2.1921, 1.6532, 0.0088, -0.0026000000000000003, 0.6137, 0.524, 0.0007, 2.073, -1.... | 0.3833333333333333 * (Z(1) @ Z(2)) + 0.1 * (Z(4) @ Z(2)) + 0.3 * (Z(4) @ Z(1)) + 0.1 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(1)) + 0.18333333333333335 * (Z(5) @ Z(4)) + 0.18333333333333335 * (Z(7) @ Z(2)) + 0.13333333333333333 * (Z(7) @ Z(1)) + 0.1 * (Z(7) @ Z(4)) + 0.1 * (Z(7) @ Z(5)) + 0.08333333333333333 *... | 4 | 8 | 1 | {"smallest_eigenvalues": [-2.566666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5666666666666664, "smallest_bitstrings": ["10001010"], "largest_eigenvalue": 8.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.048086554231267765) q[0];
rz(-0.6224928189864407) q[0];
rx(2.8100333514277693) q[1];
rz(1.4209145171139426) q[1];
rx(2.4318285771909607) q[2];
rz(1.5774363123141866) q[2];
rx(3.095794686132292) q[3];
rz(1.4336087505911532) q[3];
rx(-2.0642289079978116) q[4];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIZIZII",
"IIIZIIZI",
"IIZIIZII",
"IIZIIIZI",
"IIZZIIII",
"ZIIIIZII",
"ZIIIIIZI",
"ZIIZIIII",
"ZIZIIIII",
"IIIIZZII",
"IIIIZIZI",
"IIIZZIII",
"IIZIZIII",
"IZIIIZII",
"IZIIIIZI",
"IZZIIIII",
"IIIIIZIZ",
"IIIIIIZZ",
"IIIZIIIZ",
"IIZIIIIZ",
"ZIIIIIIZ",
"IIIIZII... | [
0.3833333333333333,
0.1,
0.3,
0.1,
0.13333333333333333,
0.18333333333333335,
0.18333333333333335,
0.13333333333333333,
0.1,
0.1,
0.08333333333333333,
0.25,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.21666666666666667,
0.25,
0.1333... | 0.975376 | [
-0.04808655423126776,
-2.1932891457813364,
2.8100333514277693,
-0.14988180968095416,
2.4318285771909607,
0.00663998551928989,
3.095794686132292,
-0.13718757620374306,
4.218956399181775,
-0.05673591079591542,
0.9966528272297921,
2.13084621086244,
2.3257554687677704,
-0.09556417175975712,
... | {
"n_parameters": 19,
"n_qubits": 8,
"optimal_eigenvalue": -2.566666666666667,
"target_ratio": 0.97,
"target_value": -2.489666666666667
} | 9 |
349470e51b3762ef23fcf6a851dc8e1d | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 6}, {"weight": 17, "source": 0, "target": 4}, {"weight": 14, "source": 1, "tar... | {"states": [183, 236], "expectation_value": -32.30168716450327, "params": null, "bitstrings": ["101001000", "100010011"], "total_optimization_steps": 100, "probabilities": [0.0750201672319876, 0.1277175651009538], "optimization_time": 167.18244576454163} | 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(3) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 178.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-1.187618942044145) q[0];
rz(-pi) q[0];
ry(-1.7599687068313097) q[1];
rz(-pi) q[1];
ry(-2.7040617186935703) q[2];
rz(-pi) q[2];
ry(-0.10990882509845053) q[3];
rz(-pi) q[3];
h q[4];
h q[5];
ry(-10.643298077408872) q[5];
cx q[5], q[2];
ry(3.008064639452315) q[2];
cx q[... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-13.4106) 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] =... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZIIIZI",
"IIIZZIIII",
"IIZIIIZII",
"IIZIIZIII",
"IIZZIIIII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIIIZIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"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,
4.5,
17.5,
6,
19,
16,
15,
3,
20.5,
4,
5.5
] | 0.970937 | [
-13.288635788926834,
16.707700645710162,
11.485587843730611,
-0.9038899663022613,
-10.643298077408872,
-6.01612927890463,
20.480329132293395,
27.318865921395695,
62.90566641834019,
13.936401089901285,
5.513059194653318,
-12.449127416427855,
36.78513038048737,
24.77404810964382,
0.0121719... | {
"n_parameters": 81,
"n_qubits": 9,
"optimal_eigenvalue": -87.5,
"target_ratio": 0.97,
"target_value": -84.875
} | 100 |
44024677ca28b32241620a387d32f127 | 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": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [0, 1], "expectation_value": -13.605819679671203, "params": [0.0032, 0.42200000000000004, 0.0026000000000000003, -0.5845, 0.0029000000000000002, 0.5780000000000001, 0.0028, -0.5952000000000001, 0.6137, -0.12510000000000002, 0.0026000000000000003, 0.527, 0.0024000000000000002, 0.4066, 0.8118000000000001, 0.00... | -1.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.0 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + -0.75 * (Z(6) @ Z(1)) + -1.0 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(7)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(4) ... | 3 | 8 | 2 | {"smallest_eigenvalues": [-15.5, -15.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.5, "smallest_bitstrings": ["11111110", "11110110"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.19218907498559545) q[0];
rz(0.09291448036761274) q[0];
rx(-0.04967512536563515) q[1];
rz(-0.16789485095899792) q[1];
rx(-0.02711705055853979) q[2];
rz(0.05319382007744444) q[2];
rx(-0.12111715079099174) q[3];
rz(0.1279624991313213) q[3];
rx(0.23015179240913114) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"ZIIIIIIZ",
"IIIIZIZI",
"IZIIIZII",
"IZIIZIII",
"ZZIIIIII",
"IZIIIIZI",
"IIZIIZII",
"IIZIZIII",
"ZIZIIIII",
"IZZIIIII",
"IIIZZIII",
"IIIZIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIIIIZI",
"IZIIIIII",
"IIZIIIII",
"IIIZIII... | [
-1.25,
-0.75,
-1.25,
2.75,
-1,
-1,
-1.25,
-0.5,
-0.75,
-1,
-0.75,
-1.25,
-1.25,
-1,
-1.25,
-2.5,
-0.25,
-2,
1,
-1,
2.25,
0.25,
2.25
] | 0.979512 | [
-0.19218907498559545,
0.24226762152849585,
-0.04967512536563515,
0.03839223908092401,
-0.027117050558539788,
0.1805599682181002,
-0.12111715079099175,
0.15017832014264118,
0.23015179240913117,
-0.2140719017473917,
-0.10195516285177114,
0.3252229958863298,
0.08491686831584225,
0.41598657944... | {
"n_parameters": 83,
"n_qubits": 8,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 6 |
7d035ca1bf1f85a5b9e73dc65bf927bc | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 4}, {"weight": 13, "source": 0, "target": 3}, {"weight": 14, "source": 0, "target": 6}, {... | {"states": [236, 124], "expectation_value": -21.76977628126773, "params": [[0.0165, 0.0132, -0.0073], [-0.0459, -0.0671, -0.053200000000000004]], "bitstrings": ["00010011", "10000011"], "total_optimization_steps": 10, "probabilities": [0.009632538264075494, 0.011154106096284196], "optimization_time": 5.43230414390564} | 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(5) @ Z(0)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(5)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 14.5 * Z(1) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["10000011"], "largest_eigenvalue": 151.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.8075440322763315) q[0];
rz(-0.17233184418281144) q[0];
rx(3.124138492170769) q[1];
rz(0.011419615743145012) q[1];
rx(3.124138492170769) q[2];
rz(-0.15260422056210507) q[2];
rx(3.124138492170769) q[3];
rz(-0.006212989049968726) q[3];
rx(3.124138492170769) q[4];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIZIIIIZ",
"IIZIZIII",
"IIIZIIIZ",
"IIIZIZII",
"IIZZIIII",
"IZIIIIZI",
"ZIIIIZII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
14.5,
15.5,
21,
15,
14,
15,
-1.5,
1.5
] | 0.975181 | [
0.8075440322763316,
-0.15260422056210507,
3.124138492170769,
0.011419615743145012,
-0.006212989049968726,
-0.07324976718967273,
2.9640723805291644,
0.01532535124030912,
0.17816633416289118,
-0.24152388693238136,
0.030536062199610955,
-0.03945524724141247,
0.028897191296006146,
-0.008104990... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -72,
"target_ratio": 0.97,
"target_value": -69.84
} | 6 |
-5863800654377472865 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 7], [8, 0, 3], [8, 2, 7], [8, 5], [8, 3, 6], [1, 2], [3, 5, 6, 7], [3, 4, 6], [0, 6, 7], [0, 3, 6]]} | {"states": [362, 378], "expectation_value": -0.12885922041161949, "params": [[0.07680000000000001], [-0.07830000000000001]], "bitstrings": ["010010101", "010000101"], "total_optimization_steps": 10, "probabilities": [0.0022230361049985457, 0.0022416477889196174], "optimization_time": 0.8259177207946777} | 0.5 * (Z(1) @ Z(7)) + 0.16666666666666666 * (Z(8) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(7)) + 0.3333333333333333 * (Z(3) @ Z(8)) + 0.3333333333333333 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.1666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.4166666666666656], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.1666666666666665, "smallest_bitstrings": ["010000101"], "largest_eigenvalue": 8.5} | 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];
h q[7];
cx q[7], q[1];
rz(0.929322863902648) q[1];
cx q[7], q[1];
h q[8];
cx q[7], q[8];
rz(0.043062175233182884) q[8];
cx q[7], q[8];
cx q[7], q[0];
rz(0.043062175233182884) q[0];
cx q[7], q[0];
cx q[7], q[3];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IZIIIIIZI",
"ZZIIIIIII",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"IZIIIZIII",
"ZIIIIZIII",
"IIIIIZIIZ",
"IZIIIIZII",
"IIIIIIZZI",
"ZIIIIIZII",
"IZIZIIIII",
"ZIIZIIIII",
"IIIZIZIII",
"IZZIIIIII",
"ZIZIIIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IIZZIIIII",
"IIIIZZIII",
"IIZIZIIII",
"IZIIIIIII",
"... | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.08333333333333333,
0.5,
0.08333333333333333,
0.25,
0.16666666666666666,
0.3333333333333333,
0.583333333333... | 0.613737 | [
0.929322863902648,
0.043062175233182884,
-0.018783913883938616,
-0.01477473407098673,
0.05016202202492514,
1.5221422528975808,
1.1451055795964973,
-0.7028503378355395,
0.026129967248387512,
-0.8372158218496565,
-0.9270988335346828
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -3.4166666666666656,
"target_ratio": 0.97,
"target_value": -3.3141666666666656
} | 290 |
878d094d83cd61d556f3c6e9e2f56136 | 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": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 5, "source": 2, ... | {"states": [31, 63], "expectation_value": -2.90802340221544, "params": [[0.0787, 0.0787], [-0.0814, -0.0794]], "bitstrings": ["11100000", "11000000"], "total_optimization_steps": 10, "probabilities": [0.010423119763738286, 0.011822767317021721], "optimization_time": 3.441488265991211} | -1.25 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.5 * (Z(6) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(3) @ Z(5)) + -0.75 * (Z(4) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -1.0 * (Z(7) @ Z(5)) + -0.75 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(4)) + -2.5 * Z(1) + -... | 1 | 8 | 2 | {"smallest_eigenvalues": [-13.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.25, "smallest_bitstrings": ["11000000"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.41940174620359777) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.08299545233313925) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[6];
rz(0.02029136466525549) q[6];
cx q[1], q[6];
cx q[1], q[5];
rz(0.026845424308... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IZIIIIZI",
"IIZIIIZI",
"IIZIIZII",
"IZZIIIII",
"IIZIZIII",
"IIIZZIII",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIZIIIII",
"ZIIIZIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII"
] | [
-1.25,
-1,
-1.5,
-0.25,
-1.25,
-1.25,
-1,
-0.75,
2.5,
-0.5,
-1,
-0.75,
-0.25,
-2.5,
-0.25,
0.25,
2.75,
-0.25,
0.5,
-0.5,
0
] | 0.970066 | [
-0.41940174620359777,
-0.08299545233313925,
0.02029136466525549,
0.026845424308438882,
-0.1511074400226168,
0.3442445421496284,
0.09946714636891019,
-0.8605793429815163,
0.5448396532517783,
0.8051674819357516,
0.6962537412208902,
1.0029268111275338,
-1.4685811446877874,
-0.6337228587060129... | {
"n_parameters": 49,
"n_qubits": 8,
"optimal_eigenvalue": -13.25,
"target_ratio": 0.97,
"target_value": -12.8525
} | 207 |
2941338081560150588 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 2, 4, 6, 7, 11], [1, 2, 3, 6, 8, 9, 10, 11], [0, 9, 2], [0, 3, 11, 5], [0, 1, 3, 5, 6, 7, 8, 9, 10], [2, 3, 4, 6, 7, 10, 11], [0, 1, 2, 5, 6, 7], [0, 2, 5, 6, 7, 10, 11], [3, 4, 5, 7], [1, 2, 3, 5, 7, 8, 9, 10, 11], [8, 2, 6, 7], [0, 1, 2, 3, 4, 6, 8,... | {"states": [1910, 1909], "expectation_value": -3.8521466908086435, "params": [-0.003, 0.8037000000000001, -0.0032, 0.0027, 1.2741, -0.0985, 1.0372000000000001, 0.1226, 1.5745, 0.0027, 1.5721, 0.0024000000000000002, 1.6077000000000001, 0.0022, 1.5385, 0.42160000000000003, -0.1374, -0.0022, 0.13140000000000002, 0.0058000... | 0.3416666666666666 * (Z(0) @ Z(2)) + 0.10833333333333334 * (Z(4) @ Z(2)) + 0.10119047619047619 * (Z(4) @ Z(0)) + 0.26666666666666666 * (Z(6) @ Z(2)) + 0.1222222222222222 * (Z(6) @ Z(0)) + 0.30833333333333335 * (Z(6) @ Z(4)) + 0.2448412698412698 * (Z(7) @ Z(2)) + 0.1876984126984127 * (Z(7) @ Z(0)) + 0.19047619047619047 ... | 8 | 12 | 1 | {"smallest_eigenvalues": [-3.9869047619047615], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.9146825396825378, "smallest_bitstrings": ["100010001010"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.017488542618127958) q[0];
rz(2.2486733676756145) q[0];
rx(1.3641494707523212) q[1];
rz(-0.05026738856550461) q[1];
cx q[1], q[0];
ry(0.07380373430872342) q[0];
cx q[1], q[0];
ry(-0.017956492017136977) q[0];
rz(-1.6170370546050972) q[0];
rx(1.0361072862229177) q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIZ",
"IIIIIIIZIZII",
"IIIIIIIZIIIZ",
"IIIIIZIIIZII",
"IIIIIZIIIIIZ",
"IIIIIZIZIIII",
"IIIIZIIIIZII",
"IIIIZIIIIIIZ",
"IIIIZIIZIIII",
"IIIIZZIIIIII",
"ZIIIIIIIIZII",
"ZIIIIIIIIIIZ",
"ZIIIIIIZIIII",
"ZIIIIZIIIIII",
"ZIIIZIIIIIII",
"IIIIIIIIIZZI",
"IIIIIIIIIIZZ",
"IIIIIIIZI... | [
0.3416666666666666,
0.10833333333333334,
0.10119047619047619,
0.26666666666666666,
0.1222222222222222,
0.30833333333333335,
0.2448412698412698,
0.1876984126984127,
0.19047619047619047,
0.21150793650793648,
0.1972222222222222,
0.22499999999999998,
0.075,
0.11666666666666667,
0.12817460317... | 0.971127 | [
-0.01748854261812796,
0.6778770408807178,
1.3641494707523212,
-0.05026738856550461,
1.663647060110593,
-0.046240727810201,
1.6085791314323117,
0.12332242813332076,
-0.16078317193803546,
-0.19666810072644486,
2.164285450344596,
0.09134344764990626,
1.543878147432885,
1.600217331207903,
-0... | {
"n_parameters": 56,
"n_qubits": 12,
"optimal_eigenvalue": -3.9869047619047615,
"target_ratio": 0.97,
"target_value": -3.8672976190476187
} | 6 |
ddcd97e6264d17abe214a40d21cdb7fd | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "... | {"states": [4095, 4064], "expectation_value": -4.755279656498403, "params": [[-0.054900000000000004], [0.0709]], "bitstrings": ["000000000000", "000000011111"], "total_optimization_steps": 10, "probabilities": [0.0006761271840215009, 0.0006827285105441987], "optimization_time": 3.9469716548919678} | -3.5 * (Z(0) @ Z(1)) + -3.5 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(0)) + 1.5 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(0)) + -3.5 * (Z(3) @ Z(2)) + 1.5 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(2)) + -3.0 * (Z(4) @ Z(3)) + -3.0 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + 1.5 * (Z(5) @ Z(2)) + -3.5 * (Z(5) @ Z(3)) + 1.... | 1 | 12 | 1 | {"smallest_eigenvalues": [-48.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -47.5, "smallest_bitstrings": ["000000011111"], "largest_eigenvalue": 36.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.0857130289915835) q[0];
rz(0.3471928830848995) q[0];
rx(0.021604413547598213) q[1];
rz(-0.0815156860614232) q[1];
rx(0.031765751125932634) q[2];
rz(-0.011249771766162283) q[2];
rx(-0.03743021305080408) q[3];
rz(0.30548427992588933) q[3];
rx(0.021604413547598213) ... | 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[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"node": 12} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIIIIIZIIZII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIZI",
"IIIIIZIIIIIZ",
"IIIIIZIII... | [
-3.5,
-3.5,
-3,
1.5,
-3,
-3.5,
1.5,
-3,
-3,
-3,
-3,
1,
1.5,
-3.5,
1,
-3,
1.5,
-3.5,
1.5,
-3.5,
-3,
-2.5,
0.5,
-2,
-2.5,
0.5,
0.5,
0.5,
0.5,
-2,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
1,
0.5,
-1.5,
1
] | 0.984755 | [
-0.0857130289915835,
0.3471928830848995,
0.021604413547598213,
-0.0815156860614232,
0.031765751125932634,
-0.011249771766162283,
-0.03743021305080408,
0.30548427992588933,
0.36278004435329014,
-0.032129393019492,
2.701151649340084,
-0.07727125463394366,
0.004295448456440348,
0.080048270269... | {
"n_parameters": 22,
"n_qubits": 12,
"optimal_eigenvalue": -48.5,
"target_ratio": 0.97,
"target_value": -47.045
} | 14 |
b2c25a19a038d07471a5450910ba4971 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [6, 12], "expectation_value": -1.9116322463073194, "params": null, "bitstrings": ["11001", "10011"], "total_optimization_steps": 18, "probabilities": [0.06012643125650563, 0.7888196926426534], "optimization_time": 7.880268335342407} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) + -1.0 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["01101", "10011", "11001", "00111", "01110"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.016234704253647998) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-0.010386543699948906) q[1];
h q[2];
h q[3];
ry(1.1585700450953158) q[3];
h q[4];
ry(-0.5085847075913551) q[4];
cx q[2], q[4];
ry(0.5085847075913551) q[4];
cx q[2], q[4];
ry(-0.2519288651435193) q[4];
cx q[3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIZIZ",
"IZIZI",
"ZIZII",
"ZZIII",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"IIIZI",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-0.5,
-0.5,
-1
] | 0.987557 | [
-1.6083798548905424,
-1.580119373751702,
1.1585700450953158,
-1.0171694151827102,
0.8689899356169645,
-0.5038577302870386,
0.5447428831437316,
0.28835851723029476,
-0.27941569527661547,
-0.0021269934862870876,
0.08523768570425198,
-0.12057589076085368,
0.1076364646985875,
0.109842316070757... | {
"n_parameters": 14,
"n_qubits": 5,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
-4841471649436295465 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 3, 4], [1, 2, 3, 4, 5, 6], [0, 2], [0, 3, 5, 6], [0, 4, 5]]} | {"states": [107, 106], "expectation_value": -1.39918029793176, "params": null, "bitstrings": ["0010100", "0010101"], "total_optimization_steps": 30, "probabilities": [0.03404713476382358, 0.9079724537602498], "optimization_time": 38.956841707229614} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.11666666666666667 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.11666666666666667 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(0)) + 0.11666666666666667 * (Z(4) @ Z(3)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.03333333333333333 * (Z(2) @ Z(3)) + 0.0333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.4333333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.4333333333333333, "smallest_bitstrings": ["0010101"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(2.339916885781651) q[0];
rz(1.7288902844691432) q[0];
rx(2.7007224390825173) q[1];
rz(1.7806625471014499) q[1];
rx(-0.00023895957199140955) q[2];
rz(0.87642023677504) q[2];
rx(2.130893082008271) q[3];
rz(1.5957438614644461) q[3];
rx(-0.45069436288230624) q[4];
rz(2.2... | 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(1.3603) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZZIII",
"IIIIZZI",
"IIIIZIZ",
"IIIZZII",
"IIZIZII",
"IZIIIZI",
"IZIIIIZ",
"IZIZIII",
"IZZIIII",
"IZIIZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIZIII",
"ZIZIIII",
"ZIIIZII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZ... | [
0.08333333333333333,
0.11666666666666667,
0.16666666666666666,
0.11666666666666667,
0.25,
0.11666666666666667,
0.03333333333333333,
0.5,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.25,
0.11666666666666667,
0.19999999999999998,
0.03333333333333333,
0.033333333333333... | 0.975088 | [
2.339916885781651,
0.15809395767424683,
2.7007224390825173,
0.20986622030655355,
-0.0002389595719914095,
-0.6943760900198559,
2.130893082008271,
0.02494753466954945,
-0.4506943628823062,
0.6519177210005831,
-0.0006118528062750705,
0.08156700893355912,
0.4352892495209839,
-0.970561382254049... | {
"n_parameters": 34,
"n_qubits": 7,
"optimal_eigenvalue": -1.4333333333333336,
"target_ratio": 0.97,
"target_value": -1.3903333333333334
} | 98 |
90ed954541db23a75eecb07977c28089 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": ... | {"states": [24, 20], "expectation_value": -4.973756373003075, "params": null, "bitstrings": ["100111", "101011"], "total_optimization_steps": 18, "probabilities": [0.07348093650168183, 0.9007115427574266], "optimization_time": 12.983704090118408} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(3) + ... | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["101011", "100111", "111100"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3009393722060807) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.3009393722060807) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.3009393722060807) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(0.3009393722060807) q[0];
cx q[3], q[0];
c... | 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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-2,
-1.5,
-1.5,
-1.5,
-1.5
] | 0.807446 | [
0.3009393722060807,
1.2484013044131173,
-0.3798378390662217,
0.4270385845264586,
-0.18410433411884003,
0.15621560101591658,
0.7528483255570873,
0.46142641491757197,
0.9481662270374182,
-0.565569105340614,
-0.3443169043342043,
-0.45828684618528925,
0.6868535447971575,
-0.27349808895761746,
... | {
"n_parameters": 27,
"n_qubits": 12,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 500 |
6d7e5c7b3f86be8f7eca13c50e6c3de8 | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [23, 87], "expectation_value": -1.6650610898908065, "params": [[[0.3957, 0.005], [0.3514, 0.0175], [0.40080000000000005, 0.1126], [0.193, 0.0912], [0.40190000000000003, 0.0396], [0.1246, 0.0674], [0.4016, -0.054400000000000004], [0.19260000000000002, 0.2071], [0.4046, 0.4053]], [[0.3633, 0.14730000000000001]... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(1) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(1) @ Z(6) @ Z(7)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(8) @ Z(0)) ... | 15 | 9 | 4 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.8125, "smallest_bitstrings": ["101001010", "100101100", "110001010", "100101010", "110001001", "110101000"], "largest_eigenvalue": 6.1875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
rz(-1.5707963530338787) q[0];
rx(1.5707962896601955) q[0];
h q[1];
rz(2.6179939068628233) q[1];
rx(1.5707962896601952) q[1];
h q[2];
rz(1.570796224356533) q[2];
rx(1.5707962896601952) q[2];
h q[3];
rz(2.6179939068628233) q[3];
rx(1.5707962896601952) q[3];
h q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIZZZI",
"IIIZZIIII",
"IIZIIIIZI",
"IZIIIIIZI",
"IZZIIIIII",
"IZZIIIIZI",
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IIIIZIZII",
"IIZIIIZII",
"ZIIIIIZII",
"IIZIZIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIIZIZIZ",
"IIZIIIZIZ",
"... | [
0.25,
0.25,
0.25,
-0.25,
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,
0.0... | 0.84375 | [
9.350486944272168e-10,
1.570796358080628,
-1.5707963530338784,
2.6179939068628233,
1.5707962243565334,
1.5707962896601955
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 161 |
349470e51b3762ef23fcf6a851dc8e1d | 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": 3, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 6}, {"weight": 17, "source": 0, "target": 4}, {"weight": 14, "source": 1, "tar... | {"states": [246, 236], "expectation_value": -11.645006816306374, "params": [[0.0378], [-0.0683]], "bitstrings": ["100001001", "100010011"], "total_optimization_steps": 10, "probabilities": [0.003907269528975217, 0.00435316180645575], "optimization_time": 2.2982990741729736} | 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(3) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 178.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-1.187618942044145) q[0];
rz(-pi) q[0];
ry(-1.7599687068313097) q[1];
rz(-pi) q[1];
ry(-2.7040617186935703) q[2];
rz(-pi) q[2];
ry(-0.10990882509845053) q[3];
rz(-pi) q[3];
h q[4];
h q[5];
ry(-10.643298077408872) q[5];
cx q[5], q[2];
ry(3.008064639452315) q[2];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZIIIZI",
"IIIZZIIII",
"IIZIIIZII",
"IIZIIZIII",
"IIZZIIIII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIIIZIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"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,
4.5,
17.5,
6,
19,
16,
15,
3,
20.5,
4,
5.5
] | 0.970937 | [
-13.288635788926834,
16.707700645710162,
11.485587843730611,
-0.9038899663022613,
-10.643298077408872,
-6.01612927890463,
20.480329132293395,
27.318865921395695,
62.90566641834019,
13.936401089901285,
5.513059194653318,
-12.449127416427855,
36.78513038048737,
24.77404810964382,
0.0121719... | {
"n_parameters": 81,
"n_qubits": 9,
"optimal_eigenvalue": -87.5,
"target_ratio": 0.97,
"target_value": -84.875
} | 100 |
4700601e722e5f0a0c40acc2968ffc97 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}]} | {"states": [1, 3], "expectation_value": -3.3305102839829654, "params": [[[0.38830000000000003, -0.2008], [0.385, 0.1966], [0.39, -0.2008], [0.8, -0.0002], [0.806, 0.0009000000000000001]], [[0.391, 0.0037], [0.394, 0.0014], [0.39390000000000003, 0.0047], [0.8032, 0.005200000000000001], [0.8045, 0.007200000000000001]]], ... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.75 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.25 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100", "01110"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.6706529503752435) q[0];
h q[1];
ry(1.4146339409758935) q[1];
h q[2];
ry(-0.5581047246583587) q[2];
h q[3];
cx q[3], q[0];
ry(0.6706529503752435) q[0];
cx q[3], q[0];
ry(-0.44205081723318096) q[0];
ry(0.9054299760275487) q[3];
rz(-pi) q[4];
ry(-0.0725877717... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
1.75,
2,
1.75,
2,
2,
-2.75,
-2.75,
-2.75,
-2.5,
-2.25
] | 0.991225 | [
-1.6704548362417395,
-1.341305900750487,
1.4146339409758935,
0.973194262912994,
-1.1162094493167174,
0.6844911620078096,
-0.48532124205514987,
0.5740763702252564,
0.27498873776268346,
-0.23622283509959657,
0.44187762803947833,
-0.4116559642671688,
0.5069271119789323,
-0.18155338475627356,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
561e25a031eb9a8799f924eeb4c8438f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [424, 425], "expectation_value": -1.8035215442225834, "params": [0.6061000000000001, 0.0044, 0.5988, -0.0864, 0.1102, -0.19720000000000001, 0.547, 0.1741, 0.1451, 0.34450000000000003, 0.5938, 0.1158, 0.11330000000000001, 0.2566, 0.1456, -0.224, 0.4627, -0.005200000000000001, 0.6033000000000001, 0.0015, 0.600... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(3) @ Z(7)) + 0.25 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(3) @ Z(7)) ... | 18 | 9 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.0, "smallest_bitstrings": ["001110100", "101100001", "001011001", "010100110", "001010110", "011100100", "001101001", "100100011", "001100101", "00101... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(1.4021174659852118) q[1];
rz(-pi) q[2];
ry(-0.05187240237903478) q[2];
ry(-0.07058011845761827) q[3];
rz(-pi) q[3];
h q[4];
ry(1.4846124925952116) q[4];
rz(-pi) q[5];
ry(-0.05187240237903478) q[5];
h q[6];
ry(-0.4716510695149191) q[6];
cx q[0], q[6];
... | 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": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIZZIII",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIZZIIIII",
"IIZZIIIIZ",
"IIIZIZIII",
"IZIIIZIII",
"IZIZIIIII",
"IZIZIZIII",
"ZIZIIIIII",
"IIIIZIIZI",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZIIIZIIZI",
"IZIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
0,
-0.25,
-0.25,
-0.25,
0,
-0.25,
-0.25,
-0.25
] | 0.990962 | [
-1.6875007142906264,
-1.4416901727671574,
1.4846124925952116,
1.4021174659852118,
-0.9433021390298382,
0.7581365704687499,
-0.593651186284916,
0.6493530428447576,
-0.19400333399622846,
0.3412050415156962,
-0.20224701167873668,
-0.11705207114024198,
-0.03824210496297538,
-0.0627189403217154... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
-7816867425149819707 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4], [0, 2], [5, 6], [0, 3], [3, 6], [4, 5], [0, 4], [0, 5], [1, 3], [1, 4], [0, 6], [2, 3]]} | {"states": [51, 76], "expectation_value": -0.062171784516488623, "params": [[0.0574], [-0.0458]], "bitstrings": ["1001100", "0110011"], "total_optimization_steps": 10, "probabilities": [0.008311281587593165, 0.008311281587593165], "optimization_time": 1.656158447265625} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0, "smallest_bitstrings": ["1110001", "1110010", "0001110", "0001101", "1001100", "0110011"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.23486561317557286) q[0];
h q[1];
ry(-0.23486561317557286) q[1];
h q[2];
ry(-0.8478895679171992) q[2];
h q[3];
ry(0.8013202226396958) q[3];
h q[4];
cx q[4], q[1];
ry(0.23486561317557286) q[1];
cx q[4], q[1];
ry(-0.5970289721429662) q[1];
ry(1.49365493374315... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[4], q[5];
... | null | {"circuits": [], "gradients": []} | [
"IIZIZII",
"IIZIIIZ",
"IIIIZIZ",
"IZZIIII",
"IZIIIIZ",
"ZIIIIIZ",
"ZZIIIII",
"IIIZZII",
"IIIZIIZ",
"ZIIZIII",
"IIZIIZI",
"IIIZIZI",
"IIZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"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,
0,
0,
0,
0,
0,
0
] | 0.975325 | [
-0.4697312263511457,
1.4936549337431517,
1.6026404452793916,
-1.1940579442859325,
-1.6957791358343983,
-0.9802820209815764,
0.24759889876587954,
-0.052398808146189045,
-0.39621791749764784,
0.6440602431484823,
-0.3367055319427883,
-0.6160483129596577,
0.9678051040798534,
0.4068505646309801... | {
"n_parameters": 45,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 13 |
8825faac04a1dea74e1f50fbc9cc77c3 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 14, "source": 1, "target": 2}, {"weight": 17, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}, {"... | {"states": [109, 107], "expectation_value": -9.359381358596814, "params": [[-0.0482], [0.07540000000000001]], "bitstrings": ["10010010", "10010100"], "total_optimization_steps": 10, "probabilities": [0.008253599483798961, 0.008542320994166139], "optimization_time": 2.7585959434509277} | 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(2)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 2.5 * Z(0) + 16.5 * Z(2) + 4.5 * Z(3) + 15... | 1 | 8 | 1 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "smallest_bitstrings": ["10010100"], "largest_eigenvalue": 125.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.15291605558017266) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.15291605558017266) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.15291605558017266) q[2];
cx q[0], q[2];
rz(-1.0431096114034215) q[0];
rx(-0.20100793962471603) q[0];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11,
2.5,
16.5,
4.5,
15,
8,
9.5,
10
] | 0.970819 | [
-0.15291605558017266,
1.5305142180454085,
-1.0431096114034206,
1.9279818478897792,
-0.9131555900472494,
1.2565631961675092,
0.036028566457382144,
1.105705289047865,
0.8217863488603611,
-0.20100793962471591,
0.21791004023137842,
0.12036532556028569,
-0.8985480040462571,
-0.3024677114818559,... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -63,
"target_ratio": 0.97,
"target_value": -61.11
} | 44 |
b2c25a19a038d07471a5450910ba4971 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 3}]} | {"states": [2, 3], "expectation_value": -3.4032099401731353, "params": [[[0.4389, 0.2167], [0.435, 0.221], [0.2954, -0.29610000000000003], [0.8977, 0.00030000000000000003], [0.8077000000000001, 0.0]], [[0.4415, 0.0037], [0.444, 0.0014], [0.2993, 0.0047], [0.9009, 0.005200000000000001], [0.8061, 0.007200000000000001]]],... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (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)) + -2.5 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.5 * Z(4) + -2.25 * Z(3) | 1 | 5 | 2 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.016234704253647998) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-0.010386543699948906) q[1];
h q[2];
h q[3];
ry(1.1585700450953158) q[3];
h q[4];
ry(-0.5085847075913551) q[4];
cx q[2], q[4];
ry(0.5085847075913551) q[4];
cx q[2], q[4];
ry(-0.2519288651435193) q[4];
cx q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"IZIZI",
"IZIIZ",
"IZZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"ZIIII",
"IZIII"
] | [
1.75,
1.75,
1.75,
2,
2,
1.75,
2,
2,
2,
1.75,
-2.5,
-2.5,
-2.75,
-2.5,
-2.25
] | 0.987557 | [
-1.6083798548905424,
-1.580119373751702,
1.1585700450953158,
-1.0171694151827102,
0.8689899356169645,
-0.5038577302870386,
0.5447428831437316,
0.28835851723029476,
-0.27941569527661547,
-0.0021269934862870876,
0.08523768570425198,
-0.12057589076085368,
0.1076364646985875,
0.109842316070757... | {
"n_parameters": 14,
"n_qubits": 5,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
d5c9e2c60adcce2a7bd44a74474e515b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, ... | {"states": [212, 218], "expectation_value": -2.6510145607818947, "params": [[[0.8629, -0.002], [0.8220000000000001, 0.005200000000000001], [0.7373000000000001, 0.0029000000000000002], [0.2227, 0.009300000000000001], [0.735, -0.0313], [0.518, 0.042800000000000005], [0.21200000000000002, -0.00030000000000000003], [-0.140... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(7) @ Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(7) @ Z(1)) + 0.125 ... | 15 | 9 | 4 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.125, "smallest_bitstrings": ["100101100", "100101001", "110100100", "011000110", "101010001", "011010100", "011010001", "101000110",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.06491193756964622) q[0];
rz(0.07529977947409294) q[0];
ry(0.23742091791802283) q[1];
ry(0.07766255112857626) q[2];
ry(0.47052276345903) q[3];
ry(0.39725956148730496) q[4];
ry(0.42926103817060673) q[5];
ry(0.09530470417953064) q[6];
ry(-0.03811340140983269) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIZZZIIII",
"IIIIZZIII",
"IZIIIZIII",
"IZIIZIIII",
"IZIIZZIII",
"IIIZIIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IZIZIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IZIZIIIZI",
"ZIIZIIIZI",
"ZZIIIIIZI",
"ZZIZIIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
-0.5,
-0.125,
-0.5,
-0.25,
0,
0.125,
-0.25,
0.125,
-0.125
] | 0.97713 | [
-0.06491193756964622,
0.23742091791802283,
0.07766255112857626,
0.47052276345903,
0.39725956148730496,
0.42926103817060673,
0.09530470417953064,
-0.03811340140983269,
0.7443234373539951,
0.15059955894818589,
-0.22808838527589015,
0.18678011820363896,
0.2606838079152155,
-0.1368076453033955... | {
"n_parameters": 105,
"n_qubits": 9,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 15 |
bc66253cf8720682f4eebbf8e558ad61 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [9, 1], "expectation_value": -0.35914506561082826, "params": [[0.0551], [-0.044500000000000005]], "bitstrings": ["110110", "111110"], "total_optimization_steps": 10, "probabilities": [0.018064726672216327, 0.018277257362269927], "optimization_time": 1.4237587451934814} | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -1.25 * Z(1) + -0.25 * Z(0) + -2.25 * Z(3) + 0.75 * Z(2) + 1.5 * Z(5) + 1.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-10.25, -10.25, -10.25, -10.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.25, "smallest_bitstrings": ["111110", "111100", "110110", "110100"], "largest_eigenvalue": 13.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.714438572684436) q[0];
h q[1];
ry(-1.428877145368872) q[1];
h q[2];
h q[3];
ry(-1.428877145368872) q[3];
h q[4];
h q[5];
cx q[5], q[0];
ry(0.714438572684436) q[0];
cx q[5], q[0];
ry(-0.856357758661726) q[0];
cx q[4], q[0];
ry(4.239869943476942e-08) q[0];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[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... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IIIZZI",
"ZIIIIZ",
"ZIZIII",
"IZIIZI",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IIIZII",
"ZIIIII",
"IZIIII"
] | [
-1.25,
-1.25,
-1,
-0.75,
2.5,
-1,
-0.5,
-1,
-1.25,
-0.25,
-2.25,
0.75,
1.5,
1.5
] | 0.921629 | [
-1.428877145368872,
1.5707963072208557,
-0.8563577162630266,
-8.479739886953884e-8,
7.260494688738796e-8,
-2.058158962333484e-8,
-4.1931091589049415e-8,
-2.6274812220416775e-8
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -10.25,
"target_ratio": 0.97,
"target_value": -9.942499999999999
} | 183 |
3a1b6a9bf7270007712b664c84a12e64 | 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": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [22, 113], "expectation_value": -0.2049413717495268, "params": [[-0.054900000000000004], [0.0674]], "bitstrings": ["1101001", "0001110"], "total_optimization_steps": 10, "probabilities": [0.008697683789642313, 0.008817255668095807], "optimization_time": 1.4338507652282715} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(3) + -1.0 * Z(0) + -1.0 * Z(4) + -1.5 * Z(5) + 0.0 * Z(1) + 0.0 * Z(2) + -1.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0001110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-2.98944785392387) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-3.1246675978861393) q[1];
h q[2];
ry(1.5808721722217702) q[2];
cx q[2], q[0];
ry(-0.011699920057431173) q[0];
cx q[2], q[0];
ry(0.01026944797253282) q[2];
h q[3];
ry(-1.5438572033420326) q[3];
ry(-0.03643268760... | 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[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4]... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZZIII",
"IIZIIIZ",
"IZIZIII",
"IZIIIIZ",
"IZIIIZI",
"IIIZZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-1,
-1.5,
0,
0,
-1
] | 0.993193 | [
-1.5438572033420326,
-1.5049965043560467,
-1.510499249238443,
1.5808721722217702,
1.4069516070715422,
-0.04772877990331542,
0.023399840114862347,
0.1835915608405338,
0.01369842055356045,
0.02053889594506564,
0.06291702091381643,
0.013292492936495856,
-0.1050329714841247
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
4d70328aecc8c1ea3157fc10838636c1 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [13, 7], "expectation_value": -0.25673049499918, "params": [[-0.012400000000000001], [0.017]], "bitstrings": ["1110010", "1111000"], "total_optimization_steps": 10, "probabilities": [0.00794153225863763, 0.007961371385508266], "optimization_time": 5.743348598480225} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 16 | 7 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.027915315044976848) q[0];
rz(0.9079317232921404) q[0];
rx(-0.075741799279953) q[1];
rz(0.40344095680944037) q[1];
rx(-0.19726492599124124) q[2];
rz(0.3090192037444801) q[2];
rx(-0.054457467281475554) q[3];
rz(0.31152701050214304) q[3];
rx(0.980611838329351) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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]... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
-3.5,
-3.25,
-3.25,
-3.5,
-3,
-3,
-3
] | 0.978518 | [
-0.02791531504497685,
0.7987750073775817,
-0.075741799279953,
0.1807703503826541,
-0.1972649259912412,
0.22315061411334475,
-0.05445746728147556,
0.17837210837707032,
0.980611838329351,
0.17196108918343747,
0.6762345045023291,
0.17168297010729175,
0.779897852478124,
-0.09894333872144807,
... | {
"n_parameters": 77,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 17 |
49c7a353075b9efbb859265b467ce241 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 6}, {"capacity": 5, "source": 0, "target": 7}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [13, 205], "expectation_value": -11.307894125906534, "params": [[[-0.027800000000000002, -0.0033, 0.0055000000000000005, 0.0058000000000000005], [-0.0029000000000000002, 0.0708, 0.0034000000000000002, 2.3013], [0.0034000000000000002, 2.2697000000000003, 0.0031000000000000003, 0.335], [0.0025, 0.3252, -0.0135... | -0.25 * (Z(0) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + -1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(7)) + -0.25 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(2)) + -1.25 * (Z(8) @ Z(6)) + 1.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -1.75 * (Z(3) @ Z(7)) + -0.75 * (Z(3) @ Z(4)) + -0.25 * (Z(... | 11 | 9 | 2 | {"smallest_eigenvalues": [-11.75, -11.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.75, "smallest_bitstrings": ["100110010", "110110010"], "largest_eigenvalue": 16.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(0.1541915017240319) q[0];
cx q[6], q[0];
h q[7];
cx q[6], q[7];
rz(0.48993347450890307) q[7];
cx q[6], q[7];
cx q[0], q[7];
rz(0.3809036293424193) q[7];
cx q[0], q[7];
cx q[7], q[1];
rz(0.15419150... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIZIIIIIZ",
"IZZIIIIII",
"IZIIIIIIZ",
"IZIIIIIZI",
"IZIIIIZII",
"IIIIIIZZI",
"IZIIZIIII",
"IIIIZIZII",
"ZIZIIIIII",
"ZIIIIIIIZ",
"ZIIIIIZII",
"IZIIIZIII",
"IIIIZZIII",
"IIZZIIIII",
"IIIZIIIZI",
"IIIZIIZII",
"ZIIZIIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIIIIIZI",
"... | [
-0.25,
-2,
-1.25,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-1.25,
1.75,
-0.5,
-1.75,
-0.75,
-0.25,
-0.25,
-0.75,
-0.75,
1.75,
-0.25,
-1.75,
-0.25,
0,
-1.75,
-0.75,
1.5,
1.5
] | 0.573747 | [
0.1541915017240319,
0.48993347450890307,
0.3809036293424193,
0.39121769979930515,
-0.9672327796190312,
0.5380672003954887,
0.5727038347561656,
-0.27201752472147983,
-0.8740006384221521,
0.9168555925598314
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -11.75,
"target_ratio": 0.97,
"target_value": -11.397499999999999
} | 228 |
c12dc8bfc0d8e8bc2e65cda825a741ab | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 2}]} | {"states": [0, 4], "expectation_value": -0.9999957253567353, "params": [0.0019, 0.0037, 1.6031, 0.0014, 0.0025, 0.0047, 0.0025, 0.005200000000000001, 0.0068000000000000005, 0.007200000000000001, 0.0058000000000000005, 0.0054], "bitstrings": ["1111", "1011"], "total_optimization_steps": 320, "probabilities": [0.48383233... | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -0.5 * Z(3) + 0.16666666666666674 * Z(0) + 0.16666666666666674 * Z(1) + -0.16666666666666666 * Z(2) | 18 | 4 | 1 | {"smallest_eigenvalues": [-1.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.9999999999999999, "smallest_bitstrings": ["1011"], "largest_eigenvalue": 2.3333333333333335} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.98693634562561) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.5702754027205156) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.5702754027205152) q[1];
rx(0.1809670407241956) q[1];
rz(-0.0605909341297176) q[2];
cx q[0], q[2];
rz(0.5702754... | 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[4] c;
qubit[4] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} | [
"ZIIZ",
"ZIZI",
"IIZZ",
"ZIII",
"IIIZ",
"IIZI",
"IZII"
] | [
-0.5,
-0.5,
0.33333333333333337,
-0.5,
0.16666666666666674,
0.16666666666666674,
-0.16666666666666666
] | 0.970753 | [
0.98693634562561,
0.5702754027205156,
-0.0605909341297176,
0.01052034470793032,
0.1809670407241956,
-0.4210489548362983,
0.17941461010927579,
-0.5310091518833534,
-0.24571524346239182,
1.169259756964969,
0.8653272313101511,
0.8751350731179494,
-0.4970495411829845,
-1.6475907910109493,
1.... | {
"n_parameters": 15,
"n_qubits": 3,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 68 |
4286d838a0864c608421aefd7c0a8694 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, ... | {"states": [0, 1], "expectation_value": -14.053818806975858, "params": [[[0.0016, 0.006500000000000001], [0.0023, 0.0033], [0.0023, 0.0016], [0.0022, 0.0058000000000000005], [0.0023, 0.0091], [0.0023, 0.008], [1.1924000000000001, 0.0009000000000000001], [1.6066, 0.0047]]], "bitstrings": ["11111111", "11111110"], "total... | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + 4.25 * (Z(7) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -2.25 * Z(1) + -0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-22.25, -22.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -21.25, "smallest_bitstrings": ["11111110", "11111100"], "largest_eigenvalue": 19.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.9045870181296413) q[0];
ry(-0.2170474160110289) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5470769059317142) q[2];
rz(-pi) q[3];
ry(-0.2843983056732562) q[3];
rz(-pi) q[4];
ry(-0.2265876657411871) q[4];
h q[5];
h q[6];
h q[7];
ry(1.5286010451067176) q[7];
cx q[7], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
rx(x0) q[0];
rz(x1... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZZIII",
"ZIIIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-1,
-1.25,
-1,
-0.75,
-1,
-0.5,
-1,
-0.5,
4.25,
-0.25,
-1,
-0.75,
-0.5,
-2.25,
-0.25,
-0.5,
-2.25,
-1,
4.25,
0.75,
1.25
] | 0.974008 | [
1.5286010451067176,
-1.8091740362592825,
-1.9895281018553466,
-1.4053738037883465,
0.39796311717390886,
-0.00019440015801999722,
-0.21779767655905893,
-1.5470769059317142,
-0.42085430085678377,
0.1517805527427289,
0.10324978600895736,
-0.3105191432550561,
0.18150412591190185,
-1.0315729899... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -22.25,
"target_ratio": 0.97,
"target_value": -21.5825
} | 26 |
f6cdf6caae833c575489bb2b7a623058 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [49, 177], "expectation_value": -2.04811673208835, "params": [[[0.2016, -0.0012000000000000001], [0.3846, 0.0233], [0.503, 0.0412], [0.5044000000000001, 0.11380000000000001], [0.21150000000000002, 0.1602], [0.3079, 0.019200000000000002], [0.5019, 0.3552], [-0.2731, 0.392]], [[0.442, 0.015700000000000002], [0... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(0) @ Z(3) @ Z(5)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(7) @ Z(1) @ Z(4)) ... | 15 | 8 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["10001110", "01001110", "01010110", "00101110"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-3.124759052725892) q[0];
rz(-pi) q[0];
ry(-3.0854626450991742) q[1];
rz(-pi) q[1];
ry(-0.03369902748015139) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4369841717910352) q[3];
ry(-0.03369902748015139) q[4];
rz(-pi) q[4];
h q[5];
ry(1.504625431852586) q[5];
cx q[5], q[0];
ry(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIZZIII",
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIZIII",
"IIZIZIIZ",
"IIIZIIZI",
"ZIIIIIZI",
"ZIIZIIII",
"ZIIZIIZI",
"IZIIIZII",
"ZIIIIZII",
"ZZIIIIII",
"ZZIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0,
0,
0,
-0.25,
-0.25,
-0.75,
-0.75,
0
] | 0.995276 | [
-1.5205674065543304,
-1.4762215588150907,
1.504625431852586,
1.4369841717910352,
-0.10005583704498788,
0.23395710827992075,
0.2788948906500424,
0.02008177290338363,
0.0009735704753418978,
-0.03305978552082959,
-0.11837486768070965
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
410072450c9e6dc16f647e463ce9b924 | 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": [189, 185], "expectation_value": -99.08266687524838, "params": [-0.0023, -0.611, 0.08990000000000001, 0.6174000000000001, 1.0689, 0.0, 0.0026000000000000003, 0.6885, 1.0657, 0.0011, 1.0682, 0.0061, 1.0672000000000001, -0.13190000000000002, 0.4869, -0.2306, 0.0611, 0.6269, 1.0692000000000002, -0.0269, -0.0037... | 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(3) @ Z(6)) + 6.0 * (Z(7) @ Z(2)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(4) @ Z(6)) + 6.0 * (Z(4) @ Z(7)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(5) @ Z(7)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(0) @ Z(5)) + 6.0 * (Z(8) @ Z(4)) + 6.0 * (Z(9) @ Z(1)) + 6.0 * (Z(9) @ Z(8)) + 9.5 * Z(2) + 2.0 * Z(1) + 19.5 * Z... | 18 | 10 | 3 | {"smallest_eigenvalues": [-104.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.5, "smallest_bitstrings": ["1101000110"], "largest_eigenvalue": 165.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.1501326499617849) q[0];
rz(-1.0329146292537015) q[0];
rx(-0.04043183900908864) q[1];
rz(0.5627733937180553) q[1];
rx(1.0721031930899985) q[2];
rz(0.0362491217737706) q[2];
rx(-0.05214663564014416) q[3];
rz(0.9287008567102016) q[3];
rx(1.0582428430190782) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIZIIZIII",
"IIZIIIIZII",
"IIZZIIIIII",
"IIIZIZIIII",
"IIZIIZIIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IIIIZZIIII",
"IIIIZIIIIZ",
"IZIIIZIIII",
"ZIIIIIIIZI",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIZIIIIII",
"IIIIIIZIII",
"IIZIIIIIII",
"IIIIIZIIII",
"IIIIZIIIII"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
9.5,
2,
19.5,
-4.5,
17,
17.5,
19.5,
-3,
1,
9
] | 0.978137 | [
-0.15013264996178494,
-0.8702520734804888,
-0.04043183900908864,
0.5627733937180553,
1.0721031930899985,
0.0362491217737706,
-0.05214663564014416,
0.9287008567102016,
1.0582428430190782,
0.05171473567964725,
1.1831032200323264,
-0.0007831565474723575,
1.3273524010915874,
-0.063660888030646... | {
"n_parameters": 85,
"n_qubits": 10,
"optimal_eigenvalue": -104.5,
"target_ratio": 0.97,
"target_value": -101.365
} | 9 |
8480120542533517580 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4], [0, 2], [3, 6], [3, 5]]} | {"states": [71, 23], "expectation_value": -1.8391930009208814, "params": null, "bitstrings": ["0111000", "1101000"], "total_optimization_steps": 49, "probabilities": [0.050129494132700486, 0.7317076875442979], "optimization_time": 35.99518847465515} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.0, "smallest_bitstrings": ["1101000", "0010111", "0111000", "0110011", "1000111", "0011100", "1001100", "1100011"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-1.2861933488786792) q[0];
cx q[2], q[0];
rz(8.141934237926307e-09) q[0];
rx(0.7853981515785771) q[0];
rz(8.141934237926307e-09) q[2];
rx(0.7853981515785771) q[2];
h q[3];
h q[4];
cx q[4], q[1];
rz(-1.2861933488786792) q[1];
cx ... | 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[6], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IIZIIZI",
"IIIIZIZ",
"ZIIZIII",
"IZIZIII",
"IIZIIII",
"IIIIIZI",
"IIIIZII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.7872 | [
-1.2861933488786792,
8.141933597377751e-9,
0.7853981515785771
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 113 |
171e704e65359d5a57d8a8e54db87dfb | 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": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 2, ... | {"states": [128, 53], "expectation_value": -6.195944480174282, "params": [[-0.14700000000000002, -0.135, -0.10500000000000001], [0.16720000000000002, 0.16160000000000002, 0.1335]], "bitstrings": ["01111111", "11001010"], "total_optimization_steps": 20, "probabilities": [0.044694042448329446, 0.07434790849828113], "opti... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(6)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + 1.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(7) @... | 1 | 8 | 3 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["11001010"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-1.6082126260244147) q[0];
rz(-pi) q[1];
ry(-0.004965084752792572) q[1];
h q[2];
ry(1.6210136409714537) q[2];
h q[3];
ry(0.8105068204857269) q[3];
cx q[2], q[3];
ry(-0.8105068204857269) q[3];
cx q[2], q[3];
h q[4];
ry(-0.7621435308680935) q[4];
h q[5];
ry(0.7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIIZ",
"IZIIIIIZ",
"IZIZIIII",
"IIIIIZZI",
"IZIIIZII",
"IIIIZIZI",
"IIIZZIII",
"IIIIZZII",
"IIZZIIII",
"IIZIIZII",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-0.5,
-0.25,
-0.75,
-0.5,
-0.75,
-0.75,
-0.25,
-0.5,
-1.5,
-0.5,
-0.75,
1.75,
-0.5,
-0.75,
-1.5,
-0.25,
-1.75,
-0.5,
2.25,
0.75,
0.5,
0.5
] | 0.99781 | [
1.6210136409714537,
1.5990030881178423,
-1.6082126260244147,
-1.524287061736187,
-1.4755763315842598,
-0.1627329857583258,
-0.10294869962300437,
-0.037105240853477536,
-0.0004364816468758982,
-0.1376101076604341
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 1 |
d53bc6bd432bf4983d084051835cbd3e | 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": 5, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 7}, {"capac... | {"states": [1, 33], "expectation_value": -20.30281302803658, "params": [-0.037200000000000004, -0.1078, -0.0038, -0.050800000000000005, -0.0051, 0.1549, -0.0044, 0.18380000000000002, -0.0001, 0.23500000000000001, -0.0046, 0.2429, -0.0027, 0.24080000000000001, -0.0037, 0.24330000000000002, 0.2293, 0.0112, 0.2606, 0.0071... | -1.25 * (Z(0) @ Z(1)) + -0.25 * (Z(6) @ Z(0)) + -0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -0.75 * (Z(8) @ Z(1)) + -1.25 * (Z(8) @ Z(0)) + -1.25 * (Z(8) @ Z(6)) + -1.0 * (Z(8) @ Z(7)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -1.5 * (Z(5) @ Z(8)) + -1.0 * (Z(9) @ Z(1)) + 3.75 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @... | 6 | 10 | 3 | {"smallest_eigenvalues": [-22.5, -22.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -20.5, "smallest_bitstrings": ["1111011110", "1111111110"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.030749817030848964) q[0];
rz(0.21538979376135003) q[0];
rx(0.05867453631174802) q[1];
rz(0.3331691612562093) q[1];
cx q[1], q[0];
rz(0.056022003248748876) q[0];
cx q[1], q[0];
rz(-0.3225033086314686) q[0];
ry(0.055182333475569126) q[0];
rz(0.5973725958459539) q[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... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IZIIIIIIZI",
"IZIIIIIIIZ",
"IZIZIIIIII",
"IZZIIIIIII",
"IIIIZIIIZI",
"IIIZZIIIII",
"IZIIZIIIII",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIZIIIII",
"IIIIZIIZII",
"ZIIIIIIZII",
"IIZIIIZIII",
"IZIIIIZIII",
"IIIIIIZZII",
"IIIIIZIIZI"... | [
-1.25,
-0.25,
-0.75,
-1,
-0.75,
-1.25,
-1.25,
-1,
-0.25,
-1,
-1.5,
-1,
3.75,
-0.5,
-1,
-0.5,
-0.5,
-1,
-1.5,
-0.75,
-1.25,
-1,
-1.5,
-0.25,
1,
-1.25,
-1.25,
-0.25,
1.75,
-0.25,
-1,
3
] | 0.972457 | [
-0.030749817030848964,
0.2714117970100993,
0.05867453631174802,
0.3331691612562093,
-0.07492837598717378,
0.17808332995731574,
-0.0098721246404792,
0.2568756831721276,
0.25717541436435515,
0.13939214004418699,
-0.04948319280864416,
0.2899315474044505,
-0.046836128513936065,
0.0910924625991... | {
"n_parameters": 164,
"n_qubits": 10,
"optimal_eigenvalue": -22.5,
"target_ratio": 0.97,
"target_value": -21.825
} | 6 |
9915ff93784d747e82bcd9a73a2399e5 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [28, 14], "expectation_value": -2.996464150018099, "params": null, "bitstrings": ["00011", "10001"], "total_optimization_steps": 19, "probabilities": [0.06634807398600236, 0.9303666439722974], "optimization_time": 11.834853649139404} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + -0.5 * Z(3) + -0.5 * Z(0) + -1.5 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["10001", "00011"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-0.0251969072812812) q[0];
h q[1];
ry(-0.5380823333224228) q[1];
h q[2];
ry(-0.5380823333224228) q[2];
h q[3];
cx q[3], q[1];
ry(0.5380823333224228) q[1];
cx q[3], q[1];
ry(-0.8810269947366784) q[1];
ry(1.3888852652990713) q[3];
h q[4];
cx q[4], q[2];
r... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IZIIZ",
"ZZIII",
"ZIIIZ",
"ZIIZI",
"ZIZII",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1.5,
0,
0
] | 0.972771 | [
-1.7357936832727832,
-1.0761646666448457,
0.8318258295933451,
1.3888852652990713,
-0.5583266175622739,
-0.9112528734271876,
0.7301946700289301,
-0.2369592768426538,
0.13507114255148295,
0.06045175738101835,
0.5736330844182135,
0.4348793797484596,
-0.5033799150929571,
-0.6485481651535171,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 14 |
e4c65d82be0d39aa5a43dd21b25413c9 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [166, 174], "expectation_value": -2.4534458335622795, "params": [1.0676, -0.0033, 0.004200000000000001, 0.5770000000000001, 1.0571000000000002, 0.2401, 0.4761, 0.7777000000000001, 0.6934, 0.2871, 1.0274, 0.0437, 0.9663, -0.0109, 0.0031000000000000003, -0.5558000000000001, 1.0675000000000001, -0.0029000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(5) @ Z(0)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(5) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) ... | 16 | 8 | 3 | {"smallest_eigenvalues": [-3.125, -3.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.125, "smallest_bitstrings": ["01001100", "01010001"], "largest_eigenvalue": 5.875} | 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIZZIII",
"IIIIZIIZ",
"IIZIIIIZ",
"IZIIIIIZ",
"IIZIZIII",
"IZIIZIII",
"IZZIIIII",
"IIZIZIIZ",
"IZIIZIIZ",
"IZZIIIIZ",
"IZZIZIII",
"IZZIZIIZ",
"ZIZIIIII",
"IZIIIIZI",
"IIIZIZII",
"ZIIIIZII",
"ZIIZIIII",
"ZIIZIZII",
"IIIIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
-0.25,
0,
-0.125,
-0.25,
-0.125,
-0.125,
-0.25
] | 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 |
-7875035683127589433 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 5, 7], [8, 3, 5], [8, 1], [1, 5], [4, 6]]} | {"states": [269, 333], "expectation_value": -1.8381515444778667, "params": null, "bitstrings": ["011110010", "010110010"], "total_optimization_steps": 63, "probabilities": [0.20652071761670004, 0.21352919932268866], "optimization_time": 112.6346263885498} | 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.083333333333333, -2.083333333333333, -2.083333333333333, -2.083333333333333, -2.083333333333333, -2.083333333333333], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.9999999999999998, "smallest_bitstrings": ["110110000", "110100100", "010110010", "011100100", "010100110", "0... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.23471869660926298) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-0.23471869660926298) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.23471869660926298) q[5];
cx q[0], q[5];
h q[6];
cx q[6], q[4];
rz(-1.1085093724... | 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(1.1408) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIZIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IZIIIIZII",
"IZIIIIIIZ",
"IZIZIIIII",
"ZIIZIIIII",
"IIIZIZIII",
"ZIIIIZIII",
"IIIZIIIZI",
"ZIIIIIIZI",
"IIZIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIZIII",
"IIIIIIIZI",
"IIZIIIIII",
"IIIIZIIII"
] | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.125,
0.125,
0.29166666666666663,
0.125,
0.16666666666666663,
0.1666666666666... | 0.577035 | [
-0.23471869660926298,
-0.05082569744949011,
-1.1085093724368411,
-0.8270188672592718,
-0.3133094883705713,
0.03217251602775406,
0.7629154041144826
] | {
"n_parameters": 7,
"n_qubits": 9,
"optimal_eigenvalue": -2.083333333333333,
"target_ratio": 0.97,
"target_value": -2.020833333333333
} | 190 |
a7fba5c7fdc2a0492603f740d30b0e3e | 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": 0, "target": 5}, {"source": 1, "target": 5}, {"source": ... | {"states": [168, 232], "expectation_value": -0.6707384324933819, "params": [0.8003, 0.0061, 0.7955, 0.0001, 0.801, 0.0044, 0.0021000000000000003, -0.5723, 0.8096, 0.001, 0.6496000000000001, 0.06720000000000001, 0.6609, 0.0882, 0.652, 0.0723, 0.8045, 0.005200000000000001, 0.8018000000000001, 0.007200000000000001, 0.8021... | 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... | 18 | 8 | 2 | {"smallest_eigenvalues": [-2.6875, -2.6875, -2.6875, -2.6875, -2.6875, -2.6875, -2.6875], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.6875, "smallest_bitstrings": ["00110110", "00010111", "01110100", "10010011", "10110010", "11010001", "01010101"], "largest_eigenvalue": 5.3125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0038456229068963193) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.0038456229068963193) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0038456229068963193) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(0.0038456229068963193) q[0];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIZIIZI",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIZIIZZ",
"IIIIZZIZ",
"IIIZIZIZ",
"IIIZZIIZ",
"IIIIZZZI",
"IIIZIZZI",
"IIIZZIZI",
"IIIZZZII",
"IIIIZZZZ",
"IIIZIZZZ",
"IIIZZIZ... | [
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,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,... | 0.970195 | [
0.0038456229068963193,
0.03152788476359816,
0.5843677711496659,
0.07011294895722706,
-0.10747817429227481,
-1.040178437004815,
1.0646619051284048,
-1.0354563116757038,
0.017329488661321276,
0.04182312572303404,
1.035489171615615,
0.18311382064276116,
-0.27304283047034755,
-1.02584056551815... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -2.6875,
"target_ratio": 0.97,
"target_value": -2.606875
} | 194 |
7066736891046291838 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 3, 5], [0, 1, 5], [2, 4, 5], [0, 2, 3, 4, 6], [1, 3, 4, 6], [0, 1, 2, 4, 6], [0, 1, 3, 4]]} | {"states": [87, 79], "expectation_value": -1.8764564227654228, "params": null, "bitstrings": ["0101000", "0110000"], "total_optimization_steps": 33, "probabilities": [0.03443834742257956, 0.9557316681503955], "optimization_time": 39.54222559928894} | 0.21666666666666667 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(0) @ Z(3)) + 0.1 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.05 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.3 * (Z(1... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.8999999999999995], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6500000000000001, "smallest_bitstrings": ["0110000"], "largest_eigenvalue": 6.999999999999999} | 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[2];
rz(-0.04747401539446966) q[2];
cx q[3], q[2];
h q[4];
h q[5];
cx q[3], q[5];
rz(-0.019606836257023995) q[5];
cx q[3], q[5];
cx q[2], q[5];
cx q[3], q[0];
rz(0.024171652664558868) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.01... | 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(1.5125) 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", "... | [
"IIIZZII",
"IZIZIII",
"IZIIZII",
"IIIZIIZ",
"IIIIZIZ",
"IZIIIIZ",
"IIIZIZI",
"IIIIZZI",
"IZIIIZI",
"IIIIIZZ",
"IIZZIII",
"IIZIZII",
"IZZIIII",
"IIZIIIZ",
"IIZIIZI",
"ZIIZIII",
"ZIIIZII",
"ZIIIIIZ",
"ZIIIIZI",
"ZIZIIII",
"IIIZIII",
"IIIIZII",
"IZIIIII",
"IIIIIIZ",
"III... | [
0.21666666666666667,
0.16666666666666666,
0.3333333333333333,
0.13333333333333333,
0.1,
0.16666666666666666,
0.16666666666666666,
0.05,
0.16666666666666666,
0.3,
0.21666666666666667,
0.26666666666666666,
0.16666666666666666,
0.18333333333333335,
0.21666666666666667,
0.13333333333333333... | 0.970664 | [
-0.04747401539446966,
-0.019606836257023995,
-3.143046880369851,
0.024171652664558868,
0.09354816970267334,
0.08535225326681185,
-2.5448470230225855,
-0.01940269677042647,
0.016379197866975843,
-1.5329663298937348,
-1.6473464743346684,
1.6808554992712532,
1.251846582464058,
-1.563917769365... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -1.8999999999999995,
"target_ratio": 0.97,
"target_value": -1.8429999999999995
} | 84 |
ec174129426dc2a5488500e208d8ad31 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "s... | {"states": [0, 1], "expectation_value": -12.449940009582477, "params": [-0.0029000000000000002, -0.1668, 0.0034000000000000002, -0.2167, -0.005200000000000001, -0.20650000000000002, -0.0015, -0.1905, 0.0004, -0.1925, -0.005200000000000001, -0.227, -0.0037, -0.218, -0.0006000000000000001, -0.1902, -0.0019, -0.1898, -0.0... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(5)) + -1.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -1.25 * (Z(3) @ Z(4)) + 2.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -1.0 * (Z(8) @ Z(... | 5 | 9 | 3 | {"smallest_eigenvalues": [-14.75, -14.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.75, "smallest_bitstrings": ["111011110", "111111110"], "largest_eigenvalue": 13.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.0865029172582652) q[0];
rz(-0.2141443016705451) q[0];
rx(-0.07233080458485758) q[1];
rz(0.256349069533087) q[1];
rx(-0.07233080458485758) q[2];
rz(0.6177150680525187) q[2];
rx(-0.2500842146096483) q[3];
rz(0.3065627270703608) q[3];
rx(-0.040957261983769075) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIZIIIIIZ",
"IIIZIIIZI",
"IIIZZIIII",
"IZIIIIIZI",
"IZIZIIIII",
"IIIIZIZII",
"IIIZIIZII",
"IIIIZZIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"ZIIIIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"IIIIIIZII",
"... | [
-1,
-1.5,
-1,
-0.5,
-1,
-1,
-0.5,
-0.75,
-1.5,
-0.25,
-1.25,
2.75,
-0.25,
-1,
0,
-0.25,
1.75,
-0.25,
-1,
-1.25,
-0.75,
0.25,
1.5
] | 0.977936 | [
0.08650291725826519,
0.03157358332552257,
-0.07233080458485759,
0.5629637848307943,
0.822338516599668,
-0.25008421460964836,
0.5945378558733566,
-0.040957261983769075,
0.7376307571480558,
-0.001417798277790136,
-0.8003556554162172,
0.14709029221359746,
0.8383848768762762,
0.478523199964054... | {
"n_parameters": 41,
"n_qubits": 9,
"optimal_eigenvalue": -14.75,
"target_ratio": 0.97,
"target_value": -14.3075
} | 8 |
7580317451882973347 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[2, 3], [0, 1, 3]]} | {"states": [9, 5], "expectation_value": -0.6580632820980629, "params": null, "bitstrings": ["0110", "1010"], "total_optimization_steps": 16, "probabilities": [0.1884678603761805, 0.42290338308964454], "optimization_time": 8.852548599243164} | 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666663 * Z(3) + 0.0 * Z(2) + 0.16666666666666666 * Z(0) + 0.16666666666666666 * Z(1) | 1 | 4 | 1 | {"smallest_eigenvalues": [-0.8333333333333333, -0.8333333333333333, -0.8333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.5, "smallest_bitstrings": ["1010", "0110", "0001"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-1.4568093411830323) q[2];
cx q[3], q[2];
rz(0.34331486869158745) q[2];
rx(0.8231233371493869) q[2];
cx q[3], q[0];
rz(-0.3979238976717698) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.3979238976717698) q[1];
cx q[3], q[1];... | 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];\ncry(-1.0342) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh... | [
"ZZII",
"ZIIZ",
"ZIZI",
"IIZZ",
"ZIII",
"IZII",
"IIIZ",
"IIZI"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666663,
0,
0.16666666666666666,
0.16666666666666666
] | 0.755683 | [
-1.4568093411830323,
-0.3979238976717698,
0.34331486869158734,
0.8231233371493868
] | {
"n_parameters": 4,
"n_qubits": 4,
"optimal_eigenvalue": -0.8333333333333333,
"target_ratio": 0.97,
"target_value": -0.8083333333333332
} | 106 |
7785e3e7ad6fcc746d4b86c67fd57c41 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 3... | {"states": [33, 37], "expectation_value": -6.127534368712574, "params": [-0.0029000000000000002, -0.27140000000000003, 0.0002, -0.5712, 0.24730000000000002, -0.3573, 0.42960000000000004, -0.0648, 0.003, 1.441, -0.0039000000000000003, 1.6817, 0.0023, 1.604, -0.0041, 0.9165000000000001, -0.4212, 0.8858, -0.37520000000000... | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + 1.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + 1.5 * Z(4) + 2.25 * Z(1) + -2.5 * Z(3) + -1.25 * Z(5)... | 6 | 7 | 2 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["1011010", "1010010"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.4770183040301989) q[0];
h q[1];
ry(1.5600588358649419) q[1];
rz(-pi) q[2];
ry(-0.049828445060759584) q[2];
cx q[1], q[2];
ry(0.39130269635166626) q[2];
cx q[1], q[2];
ry(-0.009441086677882307) q[1];
ry(0.17246191439933098) q[2];
h q[3];
ry(-1.1835966050189... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIZIIIZ",
"IIIIZZI",
"IIZIIZI",
"IIZZIII",
"IIIZIZI",
"IZIIZII",
"IZIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.25,
-0.75,
-0.25,
-0.25,
-1.25,
-1.25,
-0.75,
-0.5,
1.25,
-1.25,
0.25,
-0.25,
1.5,
2.25,
-2.5,
-1.25,
0
] | 0.971442 | [
-1.1835966050189877,
-1.9623389505959945,
-0.3056669926877728,
0.6498635111692677,
1.5600588358649419,
-0.9540366080603978,
-1.22932207550399,
-0.7826053927033325,
-0.5557969344496055,
-0.018882173355764614,
0.4002954472560074,
1.22108309746494,
0.34492382879866196,
1.3682006687738621,
0... | {
"n_parameters": 15,
"n_qubits": 7,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 72 |
b4844a241e7c75ea7eb690acd3c4c004 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [0, 4], "expectation_value": -0.5479628100693199, "params": [[[0.43270000000000003, 0.0018000000000000002], [0.1506, 0.152], [0.0989, 0.1364]], [[0.42500000000000004, 0.0018000000000000002], [0.15280000000000002, 0.15230000000000002], [0.108, 0.1285]], [[0.4294, 0.0018000000000000002], [0.1462, 0.1525], [0.0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) | 1 | 3 | 4 | {"smallest_eigenvalues": [-1.0, -1.0, -1.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": 0.0, "smallest_bitstrings": ["110", "101", "011"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[1] q;
rz(2.6652466560128794) q[0];
ry(0.015534336535229091) q[0];
rz(-2.4994394359393826) 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": []} | [
"IZZ",
"ZIZ",
"ZZI",
"IIZ",
"IZI",
"ZII"
] | [
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5
] | 0.999879 | [
-0.13358933430461783,
0.05925579854844312,
0.1941292476304146,
-0.0004540644499549003,
-0.07413458086647713,
0.10747849798655963
] | {
"n_parameters": 6,
"n_qubits": 1,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 1 |
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