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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
5012229774638263266 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 5, 6], [1, 2, 3], [1, 4, 5, 6], [0, 3], [1, 3, 4, 5], [0, 7]]} | {"states": [214, 87], "expectation_value": -2.058692630448973, "params": null, "bitstrings": ["00101001", "10101000"], "total_optimization_steps": 49, "probabilities": [0.0520593536799119, 0.8551305784525692], "optimization_time": 74.9681088924408} | 0.16666666666666666 * (Z(2) @ Z(5)) + 0.25 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z(6)) + 0.08333333333333333 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.166666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.1666666666666665, "smallest_bitstrings": ["10101000"], "largest_eigenvalue": 5.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.34035491540517326) q[0];
h q[1];
ry(-0.19948774212265252) q[1];
h q[2];
h q[3];
ry(1.4041172602566823) q[3];
h q[4];
cx q[4], q[1];
ry(0.19948774212265252) q[1];
cx q[4], q[1];
ry(-0.16275491127273356) q[1];
cx q[2], q[1];
ry(0.16275491127273356) q[1];
cx ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.3603) 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[... | [
"IIZIIZII",
"IZZIIIII",
"IZIIIZII",
"IIZIIIZI",
"IIIIIZZI",
"IZIIIIZI",
"IIZIZIII",
"IIIIZZII",
"IIIIZIZI",
"IIZZIIII",
"IZIZIIII",
"IIIZIIZI",
"IIIZZIII",
"IIIIZIIZ",
"ZIIIIIIZ",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIIIIIIZ",
"ZIIIIII... | [
0.16666666666666666,
0.25,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.25,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.5,
0.5,
0.41666666666666663,
0.33333333... | 0.970675 | [
1.2229892748034954,
-0.6807098308103465,
1.4041172602566823,
-0.8864304860002045,
1.3675342390296752,
-0.34012700581797317,
0.1906155420796731,
0.21644378765078673,
0.10624829476306218,
-0.39897548424530505,
-0.3255098225454671,
0.10920729849977204,
0.34085499578570305,
-0.2185214309718384... | {
"n_parameters": 43,
"n_qubits": 8,
"optimal_eigenvalue": -2.166666666666667,
"target_ratio": 0.97,
"target_value": -2.101666666666667
} | 14 |
253d3995de007ce15800f0023018551d | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2... | {"states": [3, 1], "expectation_value": -0.5571018882312206, "params": [[-0.0728], [0.0702]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.010114101794545494, 0.010733617544485423], "optimization_time": 1.6277687549591064} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + 1.75 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.75 * Z(6) + 1.75 * Z(3) + 1.0 * Z(4) + -0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-10.5, -10.5, -10.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110", "1110000", "1110010"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.02121917373057882) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.7085683064572578) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.06024138352319858) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.06024138352319858) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"ZIIIIIZ",
"IIIZIZI",
"IIIZZII",
"IIZIIZI",
"IIZZIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIIZIII",
"IIZIIII",
"IZIIIII"
] | [
-0.5,
-0.25,
-1,
1.75,
-1,
-0.5,
-0.75,
-0.75,
-0.5,
-2,
-0.25,
-1.75,
1.75,
1.75,
1,
-0.5
] | 0.970798 | [
-0.02121917373057882,
0.7085683064572578,
-0.06024138352319858,
-0.717158803780761,
-0.027419781330413187,
0.9534655477484596,
0.681696906877384,
-0.7086536622318328,
1.7659512478861448,
0.02937759427138251,
1.1009043106829477,
-0.25747217679567397,
-1.11426630721713,
0.6485468629559561,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 73 |
ee68f24dce039a4cba3f3c3df952f527 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "source": 4, "target": 3}, {"capaci... | {"states": [27, 31], "expectation_value": -0.058919729012099416, "params": [[-0.0134, 0.0765], [0.0553, -0.058300000000000005]], "bitstrings": ["100100", "100000"], "total_optimization_steps": 10, "probabilities": [0.016877479043181758, 0.01701115250352324], "optimization_time": 1.6638190746307373} | 0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(4) @ Z(5)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * Z(5) + -0.25 * Z(0) + 0.25 * Z(4) + 0.5 * Z(1) + 0.25 * Z(2) + -0.25 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["100100", "100000"], "largest_eigenvalue": 3.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(1.7187054369255659) q[0];
cx q[5], q[0];
rz(0.09446777047799948) q[0];
rx(-1.466700987803215) q[0];
cx q[5], q[4];
rz(0.01333934725850041) q[4];
cx q[5], q[4];
cx q[4], q[1];
rz(0.01333934725850041) q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"ZIIIIZ",
"ZZIIII",
"IZIIZI",
"IIIZZI",
"IZZIII",
"ZIIIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"IIZIII"
] | [
0.25,
-0.75,
-0.75,
-0.25,
-0.25,
-0.5,
-0.25,
0.25,
0.5,
0.25,
-0.25
] | 0.744299 | [
1.7187054369255659,
0.01333934725850041,
0.09446777047799972,
-1.1516700085688871,
1.5731593475807684,
-1.4667009878032147
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -2.75,
"target_ratio": 0.97,
"target_value": -2.6675
} | 189 |
f65df388240a6bafb6d8e4e3b37bcf6e | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [88, 76], "expectation_value": -1.1281483838861353, "params": [[0.07350000000000001, 0.0708, 0.0799], [-0.07930000000000001, -0.07390000000000001, -0.08220000000000001]], "bitstrings": ["0100111", "0110011"], "total_optimization_steps": 10, "probabilities": [0.014902569916303116, 0.014902569916303121], "opti... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -0.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(4) + -0.5 * Z(2) + -1.5 * Z(6) + -0.5 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1000111", "1010011", "0100111", "0110011"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(2.7532081731376037) q[0];
rz(0.5021335439547281) q[0];
rx(0.3126188629060858) q[1];
rz(-0.12394458583901447) q[1];
rx(0.08258886198853632) q[2];
rz(-0.2893009783452398) q[2];
rx(2.8985650222769554) q[3];
rz(0.47722660210837153) q[3];
rx(-2.8865335383741417) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IZIIIZI",
"IZIIIIZ",
"IIZIZII",
"ZZIIIII",
"ZIZIIII",
"ZIIIZII",
"IZIZIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIZIIII",
"IIIIZII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1.5,
-0.5,
-0.5,
-1.5,
-0.5
] | 0.974902 | [
2.7532081731376037,
0.4768043004801116,
0.31261886290608576,
-0.13830675618383226,
0.08258886198853632,
-0.4806829037066563,
2.8985650222769554,
0.5468943038080125,
3.3966517688054445,
0.42667847019125166,
0.07043632060439067,
-0.7888121402538777,
0.07867698366803132,
0.8529985987454796,
... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 16 |
74d5ddcff247f576d2434a3de6e40143 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [343, 342], "expectation_value": -59.3484570206725, "params": [2.5952, 0.0023, 1.0823, 0.005, 2.6077, 0.005, 0.8691000000000001, 0.00030000000000000003, 2.5964, 0.004200000000000001, -0.0012000000000000001, 0.006500000000000001, 2.5973, 0.0066, 2.5916, 0.0001, 1.5396, 0.0061, 0.0076, 0.0038, 0.006, 0.0047, 0... | 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(6) @ Z(8)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(7) @ Z(3)) + 7.0 * (Z(7) @ Z(8)) + 7.0 * (Z(7) @ Z(6)) + 3.5 * Z(1) + 14.5 * Z(2) + 7.0 * Z(0) + 16.0 * Z(4) + 2.0 * Z(3) + -2.0 * Z(5)... | 18 | 9 | 1 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["010101001"], "largest_eigenvalue": 155.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(2.8308305047383997) q[0];
rz(0.16725527467574075) q[0];
rx(0.16687457567686384) q[1];
rz(0.48649165910590353) q[1];
rx(2.98111425875076) q[2];
rz(0.48649165910590353) q[2];
rx(0.09256822437060895) q[3];
rz(-0.046951461801842176) q[3];
rx(3.091388296633985) q[4];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZZIII",
"IIIZZIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"IZIIZIIII",
"IZIIIZIII",
"ZZIIIIIII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"ZIIIIIIII",
"IIZIIIIII",
"IZIIIIIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
3.5,
14.5,
7,
16,
2,
-2,
9.5,
8.5,
19.5
] | 0.977508 | [
2.8308305047383997,
0.012978240414256752,
0.16687457567686384,
0.48649165910590353,
2.98111425875076,
0.09256822437060895,
-0.046951461801842176,
3.091388296633985,
0.15627810106350373,
0.07946199547157809,
-0.14850074619561424,
3.435658161939095,
-0.02369133743881649,
2.893921459922757,
... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -87.5,
"target_ratio": 0.97,
"target_value": -84.875
} | 20 |
b5518f36afa4dbdb0f95543c602afa47 | 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": 1, "source": 2, "target": 3}, {"weight": 18, "source": 2, "target": 6}, {"weight": 17, "source": 2, "targ... | {"states": [46, 110], "expectation_value": -46.25246495705056, "params": null, "bitstrings": ["111010001", "110010001"], "total_optimization_steps": 100, "probabilities": [0.151383096211798, 0.23478932273981884], "optimization_time": 220.28355979919434} | 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-97.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.0, "smallest_bitstrings": ["110010001"], "largest_eigenvalue": 194.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-1.286325205538855) q[0];
ry(0.1953118769536368) q[0];
rz(-2.3052829769044867) q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.04979024122263945) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(0.04979024122263945) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.04979024122263945)... | null | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-7.2777) 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] = ... | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZIZII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"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,
0.5,
22.5,
11.5,
21,
21,
11,
9.5,
-7.5
] | 0.970367 | [
0.04979024122263945,
-1.2395641058626865,
1.6072661776984662,
-1.2975643784720312,
0.8841029895329524,
-1.446418733116507,
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1.3859267980444265,
1.189824641938442,
1.5301831548502773,
0.2543065660981385,
1.5984645142055647,
-1.0908269470905945,
1.456728143422818,
0.875... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -97,
"target_ratio": 0.97,
"target_value": -94.09
} | 65 |
4a14cd8b630df55241ce93a8b21280b3 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [152, 156], "expectation_value": -2.936429303891836, "params": [0.4005, 0.0005, 0.1535, 0.1995, -0.0154, 0.20800000000000002, 0.4007, 0.008400000000000001, 0.40280000000000005, -0.0026000000000000003, 0.3996, 0.003, 0.1491, 0.1449, 0.1762, -0.10740000000000001, 0.4068, 0.0031000000000000003, 0.1539, 0.205700... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(7)) + -2.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(6) + -1.0 * Z(1) + -0.5 * Z(4) + -0.5 * Z(5) + -0.5 * Z(7) + 0.... | 3 | 8 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["11100001", "00101011", "01100011"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.9136445384263735) q[0];
rz(-0.16142838157599337) q[0];
rx(0.13461308109853148) q[1];
rz(-0.028260866583666555) q[1];
rx(0.051410321431012054) q[2];
rz(0.28844430186016634) q[2];
rx(0.8546489298931705) q[3];
rz(-0.047084822984788666) q[3];
rx(0.5275774443671886) 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": []} | [
"IIIIIZIZ",
"IZIIIZII",
"IZIIIIIZ",
"IIIIIZZI",
"IZIIIIZI",
"IIIZIZII",
"IIIZIIZI",
"IIZIIZII",
"ZIZIIIII",
"ZIIIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1,
-1,
-0.5,
-0.5,
-0.5,
0
] | 0.973267 | [
0.9136445384263736,
-0.03007523338217978,
0.13461308109853148,
0.07415029217998265,
0.051410321431012054,
0.16743073066579264,
0.8546489298931705,
-0.04867656139590325,
0.5275774443671886,
0.06310963011660498,
0.8552319592632363,
0.012895507299776149,
-0.012599322295288127,
0.2973399678205... | {
"n_parameters": 85,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 13 |
ae05ce72b7df15983d820553f894fc63 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 7, "target": 8}]} | {"states": [31, 223], "expectation_value": -7.280759694914506, "params": [-0.9899, 0.2713, -0.7606, 0.047, -1.2121, -0.1496, -0.8938, -0.13540000000000002, -0.0767, 0.9351, 0.23650000000000002, 0.11180000000000001, 0.43970000000000004, 0.0442, 0.4822, 0.0646, 0.35350000000000004, -0.1262, 0.5572, -0.0149, 0.57790000000... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + -0.5 * Z(2) | 6 | 8 | 3 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["00100000"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.24279984391901235) q[0];
h q[1];
cx q[1], q[0];
ry(-0.24279984391901235) q[0];
cx q[1], q[0];
ry(-0.0004400047019670686) q[1];
cx q[0], q[1];
ry(0.0004400047019670686) q[1];
cx q[0], q[1];
ry(-0.23967923788221276) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.145401828... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII",
"IIIIIZII"
] | [
-1,
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0.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.973918 | [
-0.2908036565721266,
1.3209232710417103,
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1.0136834876312257,
0.4855996878380247,
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0.2774179041563867,
2.132930272990895,
0.5447618955045739,
-0.6844614367496664,
0.10784489451936338,
0.11545183609082532,
0.4135026459357565,... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 69 |
365bd3af521df6f6f3ae706a5c8f048c | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2},... | {"states": [127, 2047], "expectation_value": -15.492685381093825, "params": null, "bitstrings": ["11110000000", "00000000000"], "total_optimization_steps": 100, "probabilities": [0.05873144995191349, 0.43701213768791697], "optimization_time": 245.0080122947693} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 1.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(8) @ Z(9)) + 0.5 * (Z(10) @ Z(9)) + -1.5 * (Z(10) @ Z(8)) + ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
ry(0.6845724150719653) q[1];
h q[2];
ry(0.12940406834968102) q[2];
cx q[0], q[2];
ry(-0.12940406834968102) q[2];
cx q[0], q[2];
ry(0.4925519884890497) q[0];
h q[3];
ry(0.6845724150719653) q[3];
cx q[2], q[3];
ry(-0.6845724150719653) q[3];
cx q[2], q[3];... | null | {"node": 11} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[9], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[... | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIZZII",
"IIIIZIZIIII",
"IIIZZIIIIII",
"IIIZIIZIIII",
"IIIIZZIIIII",
"IIIIIZZIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIZIIII... | [
-2,
-2,
-2,
1,
-2,
-2,
-2,
0.5,
-1.5,
-1.5,
0.5,
-2,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
1,
0.5
] | 0.970583 | [
1.3691448301439306,
0.25880813669936203,
0.9851039769780994,
-1.2757864106080705,
-0.3376591975896639,
4.144633918028449,
-0.12020796057064403,
-0.037631654384946464,
1.536642494486847,
-0.4640785632525037,
1.590527401363774,
-1.158624668075289,
-0.04880242354284735,
3.5458962843930117,
... | {
"n_parameters": 61,
"n_qubits": 11,
"optimal_eigenvalue": -20.5,
"target_ratio": 0.97,
"target_value": -19.884999999999998
} | 375 |
a4887282391b847c36275b441eb6d545 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": ... | {"states": [6109, 6078], "expectation_value": -0.07275157375630405, "params": [[-0.039900000000000005, 0.0796], [0.07390000000000001, -0.058100000000000006]], "bitstrings": ["0100000100010", "0100001000001"], "total_optimization_steps": 10, "probabilities": [0.00014750296884708403, 0.00014750296884708436], "optimizatio... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 1 | 13 | 2 | {"smallest_eigenvalues": [-4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -3.125, "smallest_bitstrings": ["0000110000010", "1000000001001", "0010000101000", "1000000000110", "0001010000001", "0100000100010", "0000101010000", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.5947826491304309) q[0];
ry(-3.1353499367076596) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5947826491304309) q[2];
h q[3];
ry(1.4438293180331603) q[3];
ry(-0.08654683917800882) q[4];
rz(-pi) q[4];
cx q[3], q[4];
ry(0.08255773053450952) q[4];
cx q[3], q[4];
ry(-0.08... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZIZ",
"IIIIIIIIIZIIZ",
"IIIIIIIIZIIIZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIZIZI",
"IIIIIIIIZIIZI",
"IIIIIIIIIZZII",
"IIIIIIIIZIZII",
"IIIIIIIIZZIII",
"IIIIIIIIIIZZZ",
"IIIIIIIIIZIZZ",
"IIIIIIIIZIIZZ",
"IIIIIIIIIZZIZ",
"IIIIIIIIZIZIZ",
"IIIIIIIIZZIIZ",
"IIIIIIIIIZZ... | [
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,
... | 0.999195 | [
-1.5947826491304309,
-1.4016917570823781,
1.4438293180331603,
-0.16511546106901903,
0.2414485837592053,
0.10282247901678558
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
8e81033b0eea1a78c9dc239f0b77952c | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target":... | {"states": [480, 504], "expectation_value": -8.98345451153499, "params": null, "bitstrings": ["000011111", "000000111"], "total_optimization_steps": 73, "probabilities": [0.19667243019862407, 0.589289984946097], "optimization_time": 114.77538299560547} | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 1.0 * Z(8) + -1.5 * Z(6) + -1.0 * Z(7) | 1 | 9 | 1 | {"smallest_eigenvalues": [-10.5, -10.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.5, "smallest_bitstrings": ["000000010", "000000111"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.5423418709660177) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.18530401553125106) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-1.2135931368504769) q[2];
cx q[0], q[2];
rz(-0.18530401553125087) q[2];
rx(-0.8881911429293922) q[2];
h q[... | null | {"node": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIZZIIII",
"ZIZIIIIII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"ZIIIIIIII",
"IIZIIIIII",
"IZIIIIIII"
] | [
-2,
0.5,
-1.5,
-1.5,
0.5,
-1,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
-1
] | 0.577871 | [
-0.5423418709660177,
-0.18530401553125106,
-1.2135931368504769,
-1.6859235764504825,
-0.6835576324712654,
-0.8881911429293923
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 170 |
766ad5c893fdabef4db5a6d615ba911f | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [94, 92], "expectation_value": -2.0706672563160757, "params": [0.0045000000000000005, 0.20500000000000002, 0.4062, 0.00030000000000000003, 0.0021000000000000003, 0.3073, 0.4051, 0.002, 0.39930000000000004, 0.0092, 0.4068, 0.0021000000000000003, 0.3926, 0.0009000000000000001, 0.0039000000000000003, 0.1957, -0... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(4)) + -0.125 * (Z(1) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(1) @ Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z... | 18 | 8 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["10100011", "10101001"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.016153868570687777) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.016153868570687777) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.016153868570687777) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.016153868570687777) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZIZI",
"IIIZIIZI",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIIIZZZI",
"IIIZIZZI",
"IIIZZIZI",
"IIIZZZII",
"IIIZZZZI",
"IIIIIIZZ",
"IIZIIIIZ",
"IZIIIIIZ",
"IIZIIIZI",
"IZIIIIZI",
"IZZIIIII",
"IIZIIIZZ",
"IZIIIIZZ",
"IZZIIIIZ",
"IZZIIIZI",
"IZZIIIZZ",
"IIZIZII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.625,
0.25,
-0.625,
0.125,
-0.125,
0.125,
-0.125,
-0.7... | 0.973841 | [
0.016153868570687777,
1.6531426914122864,
4.3596912682155935,
1.5899733302440615,
1.7283760072836996,
1.378270030858796,
-2.417983287278949,
1.460564283804654,
-1.7408143236471427,
-1.5136081997036865
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -78.5,
"target_ratio": 0.97,
"target_value": -76.145
} | 57 |
fd1e3e984b6f55b41650895a4a34034d | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 8}, {"sour... | {"states": [150, 151], "expectation_value": -5.0124177992780625, "params": [[[0.0029000000000000002, 1.0755000000000001], [1.5724, 0.0019], [0.0026000000000000003, 0.9354], [-0.0021000000000000003, -0.9540000000000001], [1.5677, 0.0019], [0.003, -1.102], [1.5696, 0.002], [1.5677, 0.002], [0.7992, -0.0009000000000000001... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(2) + -1.0 * Z(8) + -0.5 * Z(3) + 0.... | 1 | 9 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["101101000"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(2.0470545192972143) q[0];
ry(0.2383945101422233) q[0];
rz(-1.0695687423450133) q[0];
rz(1.4657615483285653) q[1];
ry(3.1057891752717572) q[1];
rz(-1.743956847789607) q[1];
rz(2.0666697288061107) q[2];
ry(0.10787947067785962) q[2];
rz(-0.8583142583400152) q[2];
rz(1.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIZZIIIII",
"IIIIIIZZI",
"ZIIZIIIII",
"ZIIIIIZII",
"ZIIIIZIII",
"IIIIZZIII",
"IZIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIZIIIII",
"IIZIIIIII",
"IIIIIIZII",
"ZIIIIIIII",
"IIIIIZIII",
"IIIIZIIII",
"IZIIIIIII"
] | [
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,
-0.5,
-0.5,
-1,
-0.5,
0,
0
] | 0.970728 | [
0.13395472999062485,
0.9452025515607723,
1.4960701993970116,
-0.003755779868080858,
0.07194002966024741,
1.1488610414986313,
0.04719009091257387,
-0.8709157006489334,
1.7082095704478744,
-0.01944037384124106,
-1.182577388276842,
1.6242168494481657,
0.1439126630707618,
1.300144222588978,
... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 6 |
-1751951701620481849 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[1, 4], [3, 4], [0, 1], [1, 2]]} | {"states": [10, 21], "expectation_value": -0.033688906391957596, "params": [[-0.0604], [0.0708]], "bitstrings": ["10101", "01010"], "total_optimization_steps": 10, "probabilities": [0.0333814928952569, 0.0333814928952569], "optimization_time": 0.9456539154052734} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["10101", "01010"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(3.1258547120203417) q[0];
rz(1.1479387220664703) q[0];
rx(-0.029072889620616743) q[1];
rz(0.9508021159375424) q[1];
rx(3.005330664222116) q[2];
rz(-0.07184314033372752) q[2];
rx(-0.06539779208598426) q[3];
rz(-1.7773080853638428) q[3];
rx(3.328300731521075) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx ... | null | {"circuits": [], "gradients": []} | [
"ZIIZI",
"ZZIII",
"IIIZZ",
"IIZZI",
"ZIIII",
"IIIZI",
"IZIII",
"IIIIZ",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.988123 | [
3.1258547120203417,
1.1479387220664703,
-0.029072889620616743,
0.9508021159375424,
3.005330664222116,
-0.07184314033372752,
-0.06539779208598426,
-1.7773080853638428,
3.328300731521075,
-1.0624834707911877
] | {
"n_parameters": 10,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 24 |
-6249628455858021985 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[3, 5], [1, 2, 4, 5, 6, 7], [0, 1, 4, 7, 8], [9, 5, 6], [9, 2, 5, 7], [1, 3, 9], [0, 8, 3, 7], [9, 2, 4, 6], [0, 2, 4, 5, 8], [8, 2, 3, 6], [0, 1, 2, 5, 6, 7, 8], [8, 4, 6, 7], [9, 4, 6, 7], [9, 2, 4, 7], [2, 3, 4]]} | {"states": [955, 947], "expectation_value": -2.6019132307375963, "params": [1.5769, 1.5797, 1.5785, 1.526, 1.2978, 1.5835000000000001, 0.3592, 0.33330000000000004, 1.5792000000000002, 1.5245, 0.312, 0.3116, 1.5651000000000002, 1.5803, 0.7385, 0.6579, 1.5761, 1.5811000000000002, 1.1304, 1.5751000000000002, 1.4376, 1.091... | 0.5 * (Z(3) @ Z(5)) + 0.05714285714285714 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.1904761904761905 * (Z(2) @ Z(5)) + 0.25 * (Z(2) @ Z(3)) + 0.05714285714285714 * (Z(2) @ Z(1)) + 0.08333333333333334 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.08333333333333334 * (Z(4) @ Z(1)) + 0.41666666... | 14 | 10 | 1 | {"smallest_eigenvalues": [-3.507142857142857], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.4404761904761907, "smallest_bitstrings": ["0001001100"], "largest_eigenvalue": 14.499999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.7169038088832036) q[0];
rz(pi/2) q[0];
ry(1.9398646067919727) q[1];
ry(1.8088652488605776) q[2];
ry(0.012381758191359796) q[3];
ry(2.434045365651098) q[4];
ry(0.25604866417885047) q[5];
ry(1.578282000327817) q[6];
ry(-0.1071137368111183) q[7];
ry(1.973820864401635... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZIII",
"IIIIZIIIZI",
"IIIIIIZIZI",
"IIIIZIIZII",
"IIIIIIZZII",
"IIIIIIIZZI",
"IIIIZZIIII",
"IIIIIZZIII",
"IIIIIZIIZI",
"IIIIIZIZII",
"IIIZZIIIII",
"IIIZIIZIII",
"IIIZIIIIZI",
"IIIZIIIZII",
"IIIZIZIIII",
"IIZIZIIIII",
"IIZIIIZIII",
"IIZIIIIIZI",
"IIZIIIIZII",
"IIZIIZIIII"... | [
0.5,
0.05714285714285714,
0.16666666666666666,
0.1904761904761905,
0.25,
0.05714285714285714,
0.08333333333333334,
0.16666666666666666,
0.08333333333333334,
0.41666666666666663,
0.2238095238095238,
0.08333333333333333,
0.05714285714285714,
0.22380952380952382,
0.2833333333333333,
0.140... | 0.974291 | [
1.7169038088832036,
1.9398646067919727,
1.8088652488605776,
0.012381758191359796,
2.434045365651098,
0.25604866417885047,
1.578282000327817,
-0.1071137368111183,
1.9738208644016357,
1.1405085275986644,
1.5177646768685564,
0.7991791351855753,
-1.1225282229999929,
-0.16364798701200706,
0.8... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -3.507142857142857,
"target_ratio": 0.97,
"target_value": -3.4019285714285714
} | 31 |
549ddf61b33c747b7d039a2118793eec | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "ta... | {"states": [0, 119], "expectation_value": -8.856843817652155, "params": [0.3538, 0.4847, -0.2821, 0.2403, 0.3619, 0.7111000000000001, -0.2954, 0.4096, 0.40030000000000004, 0.37510000000000004, 0.20070000000000002, 0.8447, 0.3538, 0.6516000000000001, 0.2591, 0.8112, -0.40540000000000004, 0.1933, -0.3311, 0.5521, -0.3859... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + -0.5 * Z(3) | 6 | 7 | 4 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["0001000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(0.06616974502287365) q[0];
ry(-0.01217220851318944) q[1];
ry(0.043602881688537334) q[2];
ry(-2.0733318929166966) q[3];
ry(0.14013504785004716) q[4];
ry(-0.0047168065748929245) q[5];
ry(0.0034084174370931824) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IZZIIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIZIIII",
"ZIIIIII",
"IIIZIII"
] | [
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.971722 | [
0.06616974502287365,
-0.01217220851318944,
0.043602881688537334,
-2.0733318929166966,
0.14013504785004716,
-0.0047168065748929245,
0.0034084174370931824,
3.2375834599948186,
0.014423834630379575,
-0.07832767106901686,
-0.04434139838083944,
-0.09502719019849129
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 14 |
8abcecb9be692ba9d31a27398366ffa4 | 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": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [33, 1], "expectation_value": -0.2919079854006929, "params": [[-0.0529, 0.0506], [0.0717, -0.016800000000000002]], "bitstrings": ["1011110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.009654951992002454, 0.010127781988097792], "optimization_time": 3.2431936264038086} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @... | 1 | 7 | 2 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.5490827494225263) q[0];
rz(-pi) q[1];
ry(-0.28233305796915187) q[1];
h q[2];
ry(-1.5490827494225263) q[2];
h q[3];
ry(-1.5490827494225263) q[3];
h q[4];
ry(-1.5490827494225263) q[4];
h q[5];
ry(-1.5490827494225263) q[5];
h q[6];
ry(1.5893740482243686) q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] 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",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIIZ",
"IIZIZII",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIIZ",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.75,
-0.75,
-0.75,
2,
-0.25,
0.75,
-0.25,
-1,
-0.5,
-0.5,
-0.25,
1.75
] | 0.997733 | [
1.5893740482243686,
-1.5490827494225263,
-1.8450825844559562,
-0.01609360061618495
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 1 |
0f435eed505f807fb8dc44643dfd43ce | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target"... | {"states": [89, 60], "expectation_value": -0.25121194313305517, "params": [[0.0693, 0.0722, 0.0758], [-0.0541, -0.0625, -0.0687]], "bitstrings": ["0100110", "1000011"], "total_optimization_steps": 10, "probabilities": [0.011838621507854873, 0.011838621507854885], "optimization_time": 7.976994276046753} | 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 | 3 | {"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]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"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 |
57b603fea16672654ffa7728b135c9e8 | 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": [550, 551], "expectation_value": -93.56005568502354, "params": [[[0.8736, -0.0036000000000000003], [0.23390000000000002, 0.0035], [0.0199, 0.0033], [0.167, 0.022500000000000003], [0.9454, 0.3526], [-0.030600000000000002, 0.3826], [0.005200000000000001, -0.2064], [0.0183, 0.6712], [0.6842, 0.5847], [0.0411000... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(3) @ Z(0)) + 7.0 * (Z(4) @ Z(0)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(2) @ Z(7)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(8) @ Z(0)) + 7.0 * (Z(8) @ Z(3)) + 7.0 * (Z(8) @ Z(4)) + 7.0 * (Z(9) @ Z(6)) + 23.0 * Z(0) + -3.5 * Z(1) + 9.0 * Z(3) + 21.5 * Z(4) + -6.5 * Z(5) + 6.5 * Z(7... | 15 | 10 | 4 | {"smallest_eigenvalues": [-101.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -96.5, "smallest_bitstrings": ["0111011000"], "largest_eigenvalue": 138.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.8355212422543016) q[0];
ry(0.2362637894848002) q[1];
ry(0.34572701500136044) q[2];
ry(0.3685131483969328) q[3];
ry(0.8829901984806903) q[4];
ry(-0.028267241411902046) q[5];
ry(-0.08182317970911421) q[6];
ry(0.24634953750386585) q[7];
ry(0.9078558591951923) q[8];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIIZZIIII",
"IIZIIIIZII",
"IIZZIIIIII",
"IZIIIIIIIZ",
"IZIIIIZIII",
"IZIIIZIIII",
"ZIIZIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIIIIIZII",
"IIIZIIIIII",
"IZIIIIIIII"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
23,
-3.5,
9,
21.5,
-6.5,
6.5,
-5,
3.5,
14,
-1
] | 0.974032 | [
0.8355212422543016,
0.2362637894848002,
0.34572701500136044,
0.3685131483969328,
0.8829901984806903,
-0.028267241411902046,
-0.08182317970911421,
0.24634953750386585,
0.9078558591951923,
0.10397309889397176,
0.05465370624512379,
0.05314733014308073,
0.05813052251831346,
0.04665279955141681... | {
"n_parameters": 79,
"n_qubits": 10,
"optimal_eigenvalue": -101.5,
"target_ratio": 0.97,
"target_value": -98.455
} | 68 |
1c92797ebdc5766ffafd498d21cf8a8a | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": ... | {"states": [363, 238], "expectation_value": -0.422509485565592, "params": [[-0.0653, -0.0632, -0.058600000000000006, -0.012700000000000001], [0.0732, 0.07390000000000001, 0.07780000000000001, 0.0603]], "bitstrings": ["010010100", "100010001"], "total_optimization_steps": 10, "probabilities": [0.004268286273847717, 0.00... | 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(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(0) @ Z(3) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.125, "smallest_bitstrings": ["010010100", "100010001", "001100010"], "largest_eigenvalue": 5.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3263252853866216) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.3263252853866216) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.3263252853866216) q[1];
cx q[1], q[0];
rz(-0.2868445573421025) q[0];
cx q[1], q[0];
cx q[2], q[1];
h 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": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIZZIII",
"IIIIIZIIZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIIZIZIII",
"IIZIIZIII",
"IIZZIIIII",
"IIIZIZIIZ",
"IIZIIZIIZ",
"IIZZIIIIZ",
"IIZZIZIII",
"IIZZIZIIZ",
"IZIIIIIZI",
"ZIIIIIIZI",
"ZZIIIIIII",
"ZZIIIIIZI",
"IIIZZIIII",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0,
0,
-0.125,
-0.25,
0.125,
0.125,
0,
0
] | 0.67707 | [
0.3263252853866216,
-0.2868445573421025,
0.8549473281324195,
0.15280073471375832,
-0.09601834521733131,
0.07301194046511382,
-0.5945200247002729,
0.6127883089730268,
-0.7279343502043079,
1.0826034920116065,
0.3316483973775847,
-0.3459484728746911,
-0.416855612655761
] | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 280 |
1f66a53262f397c1cb35ee5d70a20155 | 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": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [1023, 992], "expectation_value": -2.077066771387677, "params": [[-0.056400000000000006], [0.07250000000000001]], "bitstrings": ["0000000000", "0000011111"], "total_optimization_steps": 10, "probabilities": [0.0017112042677525025, 0.0017796446708221844], "optimization_time": 0.8877692222595215} | -2.5 * (Z(0) @ Z(4)) + -2.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + -2.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(2)) + -3.0 * (Z(5) @ Z(7)) + -3.0 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(5)) + -2.5 * (Z(6) @ Z(7)) + 0.5... | 1 | 10 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.5, "smallest_bitstrings": ["0000011111"], "largest_eigenvalue": 25.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.7530297394226009) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(0.7530297394226009) q[1];
cx q[4], q[1];
cx q[0], q[1];
rz(0.08970798233715684) q[1];
cx q[0], q[1];
cx q[4], q[2];
rz(0.7530297394226009) q[2];
cx q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIZ",
"IIIIIZIIZI",
"IIIIIIIIZZ",
"IIIIIZIZII",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIZZIII",
"IIIIIIZIIZ",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIZIZIIIII",
"ZIZIIIIIII",
"ZIIIZIIIII",
"IIZZIIIIII",
"IIIZZIIIII",
"ZIIZIIIIII",
"IZZIIIIIII",
"IZIIZIIIII",
"ZZIIIIIIII",
"IZIZIIIIII"... | [
-2.5,
-2.5,
0.5,
-2.5,
0.5,
0.5,
-2.5,
0.5,
0.5,
-1.5,
-3,
-3,
-2,
-2.5,
0.5,
0.5,
-2.5,
0.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1.5,
-1.5,
-1.5,
0.5,
0.5
] | 0.628323 | [
0.7530297394226009,
0.08970798233715684,
1.3418339626072961,
0.14508794364238628,
0.1216043296253272,
0.4385463626432544,
1.1051279328744301
] | {
"n_parameters": 7,
"n_qubits": 10,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 187 |
3752093b82ed107b6f6f5e75324b3162 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 1, "source": 2, ... | {"states": [119, 127], "expectation_value": -1.2888249275088675, "params": [[-0.059000000000000004, -0.0673, -0.0631, -0.0507], [0.057800000000000004, 0.0714, 0.0714, 0.06470000000000001]], "bitstrings": ["10001000", "10000000"], "total_optimization_steps": 10, "probabilities": [0.011721316374421909, 0.0122352043218992... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(7) @ Z(3)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2)) + 1.0 * Z(3) + -... | 1 | 8 | 4 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["10000000", "10001000"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.3702539457556981) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.34420703924177587) q[4];
cx q[3], q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.34420703924177587) q[1];
cx q[3], q[1];
rz(0.3702539457556981) q[4];
cx q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IIIZZIII",
"IIIZIIIZ",
"IIIIZIZI",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIZZIIII",
"IIZIIIZI",
"IIZIIZII",
"IZIIIIZI",
"IZZIIIII",
"IZIIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII"
] | [
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-0.5,
-0.75,
-0.25,
1,
-0.25,
-0.75,
-0.75,
0,
0.75,
0,
0
] | 0.586958 | [
0.3702539457556981,
0.34420703924177587,
-0.6640265103139195,
0.9123099738412122,
-0.8635043435183892,
-0.1933114723087158,
0.9357521566745978
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 172 |
4165764377757512370 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 5, 6, 8, 9], [0, 2, 3, 5, 6, 7, 9], [8, 9, 6, 1], [8, 2, 7], [1, 3, 4, 6], [8, 1, 7], [0, 4, 5, 7], [1, 2, 3, 6, 8]]} | {"states": [499, 1011], "expectation_value": -1.798906977351944, "params": [0.8616, 0.8721, 1.1733, 1.1782000000000001, 1.4935, 1.4964000000000002, 1.572, 1.5647, 1.6991, 1.4576, 1.834, 1.3225, 0.22890000000000002, 0.22840000000000002, 0.24680000000000002, 0.24500000000000002, 1.5747, 1.5628, 1.5604, 1.5771000000000002... | 0.07380952380952381 * (Z(2) @ Z(5)) + 0.07380952380952381 * (Z(6) @ Z(5)) + 0.12380952380952381 * (Z(6) @ Z(2)) + 0.05 * (Z(8) @ Z(5)) + 0.26666666666666666 * (Z(8) @ Z(2)) + 0.18333333333333335 * (Z(8) @ Z(6)) + 0.07380952380952381 * (Z(9) @ Z(5)) + 0.07380952380952381 * (Z(9) @ Z(2)) + 0.15714285714285714 * (Z(9) @ Z... | 13 | 10 | 1 | {"smallest_eigenvalues": [-2.0071428571428576], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.007142857142857, "smallest_bitstrings": ["0000001100"], "largest_eigenvalue": 7.999999999999997} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.1875199793639544) q[0];
rz(-0.002009782485329816) q[0];
ry(1.3755813276297606) q[1];
ry(1.6139494762430004) q[2];
ry(1.7561055044841893) q[3];
ry(1.9794578876788125) q[4];
ry(1.967829312412803) q[5];
ry(0.05415569357318044) q[6];
ry(-0.07580136616065142) q[7];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZII",
"IIIZZIIIII",
"IIIZIIIZII",
"IZIIZIIIII",
"IZIIIIIZII",
"IZIZIIIIII",
"ZIIIZIIIII",
"ZIIIIIIZII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIZIIIIZ",
"IIIIIIIZIZ",
"IIIZIIIIIZ",
"ZIIIIIIIIZ",
"IIIIZIZIII",
"IIIIIIZZII",
"IIIZIIZIII",
"IZIIIIZIII",
"ZIIIIIZIII",
"IIIIIIZIIZ"... | [
0.07380952380952381,
0.07380952380952381,
0.12380952380952381,
0.05,
0.26666666666666666,
0.18333333333333335,
0.07380952380952381,
0.07380952380952381,
0.15714285714285714,
0.13333333333333333,
0.10714285714285714,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.0238... | 0.972833 | [
1.1875199793639544,
1.3755813276297606,
1.6139494762430004,
1.7561055044841893,
1.9794578876788125,
1.967829312412803,
0.05415569357318044,
-0.07580136616065142,
1.4411028051710313,
1.6870471592153693,
-0.004019564970659632,
-0.17937911796871864,
0.4165472296611205,
1.0664033602322867,
-... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -2.0071428571428576,
"target_ratio": 0.97,
"target_value": -1.9469285714285718
} | 8 |
dab40a2f654e93a72357d226e03c7017 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [855, 827], "expectation_value": -0.011972349027220554, "params": [[-0.0155, 0.0334], [0.0256, -0.029900000000000003]], "bitstrings": ["0010101000", "0011000100"], "total_optimization_steps": 10, "probabilities": [0.0010058651032893299, 0.001005865103289332], "optimization_time": 13.303764581680298} | 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) ... | 1 | 10 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.375, "smallest_bitstrings": ["0011000100", "1000100001", "0101000010", "0010101000"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-9.732836771679241e-09) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(-9.732836771679241e-09) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(-9.732836771679241e-09) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-9.73283... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIZZIII",
"IIIIIIZIIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIIZIZIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IIIIZIZIIZ",
"IIIZIIZIIZ",
"IIIZZIIIIZ",
"IIIZZIZIII",
"IIIZZIZIIZ",
"IIIIZZIIII",
"IIZIIZIIII",
"IZIIIZIIII",
"IIZIZIIIII"... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125... | 0.875 | [
-9.732836771679241e-9,
1.5707963924426682,
-8.266767826270459e-8,
-1.570796288084588,
1.570796283532113
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 154 |
9529baf1c272123f159cd9ccf2735587 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4... | {"states": [19, 63], "expectation_value": -3.893450485743458, "params": null, "bitstrings": ["1101100", "1000000"], "total_optimization_steps": 47, "probabilities": [0.1570018601144807, 0.523779836596342], "optimization_time": 48.454782485961914} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + 0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(5)) + 0.25 * Z(2) + -0.25 * Z(0) + -0.5 * Z(... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.05951716756405023) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.02265479429026638) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(-0.05951716756405023) q[1];
cx q[3], q[1];
h q[4];
cx q[2], q[4];
rz(-0.05951716756405023) q[4];
cx... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.5158) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIZI",
"IIZIZII",
"IIZZIII",
"IIZIIZI",
"IZIIZII",
"IZIIIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIZIIII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-1,
-0.75,
-0.25,
-0.25,
0.75,
-0.25,
-0.5,
0.25,
-0.25,
-0.5,
0.25,
0,
0.5,
-0.25
] | 0.702551 | [
-0.05951716756405023,
0.02265479429026638,
-0.0017078621446601585,
-0.0009216693159784977,
-1.6675830071562805,
-1.5753684037053484,
-1.5740367613126494,
-1.5745622847367713,
1.3452619876330905
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 252 |
e60ca187b2aa1b0a553cfc8d9bd214a9 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 3}, {"weight": 19, "source": 1, "target": 7}, {"weight": 7, "sourc... | {"states": [407, 213], "expectation_value": -48.29123201458397, "params": null, "bitstrings": ["001101000", "100101010"], "total_optimization_steps": 100, "probabilities": [0.11561407469452673, 0.29455335633810115], "optimization_time": 161.586505651474} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(8) @ Z(7)) + 14.5 * Z(1) + 5.0 * Z(0) + 14.5 * Z(2) + 3.5 * Z(3) + 15... | 1 | 9 | 2 | {"smallest_eigenvalues": [-79.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["100101010"], "largest_eigenvalue": 142.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.16038714796442316) q[0];
rz(0.02355453730551904) q[0];
rx(0.43668721670554167) q[1];
rz(0.6172921246827068) q[1];
rx(0.19805091246880274) q[2];
rz(0.10028685045396468) q[2];
rx(0.17084589601399763) q[3];
rz(-0.16703159256223454) q[3];
rx(0.6901317977132464) q[4];
r... | null | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(8.8595) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"ZIIIIIZII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
14.5,
5,
14.5,
3.5,
15.5,
1.5,
15,
1.5,
11
] | 0.972759 | [
0.16038714796442316,
-0.30946295015307984,
0.43668721670554167,
0.5690303591610111,
0.19805091246880271,
0.054728625275187556,
0.17084589601399763,
-0.2677595627419619,
0.6901317977132464,
-0.3563652541448912,
0.008826431849045966,
0.4581965679696957,
0.7619224648046931,
0.2391292150172267... | {
"n_parameters": 169,
"n_qubits": 9,
"optimal_eigenvalue": -79,
"target_ratio": 0.97,
"target_value": -76.63
} | 89 |
4d778fc08d555f5d794c80ebdd4cf032 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "s... | {"states": [65, 1], "expectation_value": -1.5706465763653998, "params": [[0.0663, 0.0648], [-0.06860000000000001, -0.050800000000000005]], "bitstrings": ["110111110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.004190984970143115, 0.0049362287322159484], "optimization_time": 4.615786552429199} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + 2.75 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(6)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ ... | 1 | 9 | 2 | {"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] 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",
"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 |
4421c497e819297a0c75498974257550 | 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": 4, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 20, "source": 1, "target": 4}, {"weight": 15, "source": 1, "tar... | {"states": [228, 236], "expectation_value": -31.95434116845696, "params": null, "bitstrings": ["100011011", "100010011"], "total_optimization_steps": 100, "probabilities": [0.11080866571921213, 0.13523567582035137], "optimization_time": 151.67423129081726} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(3)) + 10.0 * Z(1) + 6.5 * Z(0) + 16.5 * ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 146.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.10065772740106636) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.10065772740106636) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.10065772740106636) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(0.10065772740106636) q[2];
cx q[0], q[2]... | null | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(0.1246) 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] = m... | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIZIIZII",
"IIIZZIIII",
"IIZIZIIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10,
6.5,
16.5,
19,
12,
4.5,
6.5,
9.5,
3.5
] | 0.797639 | [
0.10065772740106636,
-1.7628013311861233,
0.884909477620434,
-1.7245099828185126,
-1.7325881042059148,
-1.725404804168548,
-1.7480658767147619,
1.235349101595457,
1.2765281978103793,
-0.9463188803394292,
1.2890332574700256,
-1.484332673818375,
0.2873659630782772,
-1.4837124399853814,
-0.... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 500 |
79f35b6d03d414c940de063a7b2cae82 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 19, "source": 1, "target": 4}, {"weight": 17, "source": 1, "target": 6}, {"weight": 4, "source... | {"states": [218, 202], "expectation_value": -26.417981861570944, "params": [[[0.3703, -0.323], [0.9993000000000001, -0.0016], [0.9972000000000001, -0.0018000000000000002], [0.3849, 0.2921], [0.7736000000000001, 0.0951], [1.0016, -0.0008], [0.0047, 0.2843], [1.0023, -0.0012000000000000001], [0.0013000000000000002, 0.533... | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 1.5 * Z(2) + -2.5 * Z(0) + -4.5 * Z(1) + 0.0 * Z(4) + -2... | 1 | 9 | 2 | {"smallest_eigenvalues": [-45.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.5, "smallest_bitstrings": ["100110101"], "largest_eigenvalue": 85.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.431375685641987) q[0];
rz(1.5767430373153033) q[0];
rx(1.5513555546632303) q[1];
rz(1.5155063469856387) q[1];
rx(0.11450293339592074) q[2];
rz(1.2446689875564658) q[2];
rx(0.7137382664596563) q[3];
rz(1.6103285237197884) q[3];
rx(1.2141752167589852) q[4];
rz(1.7328... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"IIZIIIIZI",
"IZIIIIZII",
"IZIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
1.5,
-2.5,
-4.5,
0,
-2,
-2,
-9,
0,
-7
] | 0.973848 | [
0.4313756856419869,
0.005946710520406989,
1.55135555466323,
-0.05528997980925764,
0.11450293339592074,
-0.3261273392384312,
0.7137382664596564,
0.03953219692489133,
1.2141752167589852,
0.16202875651079668,
0.9694305336767237,
0.27255395264563065,
1.3023196842465423,
0.20739690873842376,
... | {
"n_parameters": 42,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 93 |
ba18230f0a2665f8e2b66e24ba5d7b4e | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 4}, {"we... | {"states": [9562, 9578], "expectation_value": -1.564804030934468, "params": null, "bitstrings": ["01101010100101", "01101010010101"], "total_optimization_steps": 100, "probabilities": [0.03401256408344108, 0.509746527874634], "optimization_time": 431.08514952659607} | 0.25 * (Z(0) @ Z(1)) + -0.00026041666666666666 * (Z(2) @ Z(0)) + -0.00026041666666666666 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.00026041666666666666 * (Z(4) @ Z(0)) + -0.0006510416666666666 * (Z(4) @ Z(2)) + -0.00026041666666666666 * (Z(5) @ Z(1)) + -0.0006510416666666666 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -... | 16 | 14 | 1 | {"smallest_eigenvalues": [-1.7648437499999898], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7648437499999776, "smallest_bitstrings": ["01101010010101"], "largest_eigenvalue": 1.757031249999979} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.6646149208686252) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.06391564158890717) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.06391564158890717) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-1.6646149208686252) q[3];
cx q[2], q[3... | null | {"communities_size": 4, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[14] c;\nqubit[14] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\ncry(-0.5959) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure ... | [
"IIIIIIIIIIIIZZ",
"IIIIIIIIIIIZIZ",
"IIIIIIIIIIZIZI",
"IIIIIIIIIIZZII",
"IIIIIIIIIZIIIZ",
"IIIIIIIIIZIZII",
"IIIIIIIIZIIIZI",
"IIIIIIIIZIZIII",
"IIIIIIIIZZIIII",
"IIIIIIIZIIIIIZ",
"IIIIIIIZIIIZII",
"IIIIIIIZIZIIII",
"IIIIIIZIIIIIZI",
"IIIIIIZIIIZIII",
"IIIIIIZIZIIIII",
"IIIIIIZZIIIIII"... | [
0.25,
-0.00026041666666666666,
-0.00026041666666666666,
0.25,
-0.00026041666666666666,
-0.0006510416666666666,
-0.00026041666666666666,
-0.0006510416666666666,
0.25,
-0.00026041666666666666,
-0.0006510416666666666,
-0.0006510416666666666,
-0.00026041666666666666,
-0.0006510416666666666,
... | 0.975291 | [
-1.6646149208686252,
0.06391564158890717,
-0.05371129682260552,
-0.009273169332093475,
0.09466862297166002,
0.7588269052132095
] | {
"n_parameters": 6,
"n_qubits": 14,
"optimal_eigenvalue": -1.7648437499999916,
"target_ratio": 0.97,
"target_value": -1.7118984374999917
} | 24 |
d30c0386d8d3b385abfc19e03f7b5ca3 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [9, 13], "expectation_value": -3.0742236105042116, "params": [0.0019, 0.1996, -0.0118, 0.21250000000000002, 0.4, 0.0857, 0.4042, 0.0103, 0.39280000000000004, 0.135, 0.404, 0.216, -0.006200000000000001, 0.20220000000000002, -0.016300000000000002, 0.2169, 0.40280000000000005, 0.1066, 0.403, 0.01270000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) + -0.5 * Z(4) | 3 | 6 | 4 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["110001", "110010"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.02172569596093698) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.02172569596093698) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.02172569596093698) q[2];
cx q[0], q[2];
rz(1.736499027868886) q[2];
rx(-1.6454317969910583) q[2];
h q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"ZIIIZI",
"ZIIIIZ",
"IZIIZI",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-0.5,
-0.5,
-1,
-0.5
] | 0.988948 | [
-0.02172569596093698,
-1.632171019885014,
-1.5273591642926907,
1.736499027868886,
-1.63086528192634,
-1.6454317969910583
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 32 |
bd53e0f03f0d19af6cb39bf47cf396d2 | 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": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [61, 53], "expectation_value": -3.1268589045006023, "params": [[-0.0637, -0.0674, -0.058800000000000005, -0.0269], [0.06420000000000001, 0.07300000000000001, 0.0731, 0.060200000000000004]], "bitstrings": ["1000010", "1001010"], "total_optimization_steps": 10, "probabilities": [0.03263393100900247, 0.03399025... | -0.75 * (Z(0) @ Z(5)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(4)) + -1.0 * (Z(3) @ Z(5)) + -2.5 * Z(5) + -0.25 * Z(0) + -0.75 * Z(6) + 1.5 * Z(1) + -0.25 * Z(4) + 1.25 * Z(2) + 1.0 * Z(3) | 1 | 7 | 4 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["1000010", "1001010"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.7043656534273358) q[0];
h q[1];
ry(1.535989113406412) q[1];
h q[2];
ry(0.7877722373943765) q[2];
h q[3];
h q[4];
ry(0.7877722373943765) q[4];
cx q[1], q[4];
ry(-0.7877722373943765) q[4];
cx q[1], q[4];
cx q[1], q[0];
cx q[4], q[2];
ry(0.7043656534273358) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"ZIIIIIZ",
"ZIIIIZI",
"IIZIIZI",
"IZIIZII",
"ZIIIZII",
"IIZIZII",
"IZIZIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIZIIII",
"IIIIZII",
"IIIZIII"
] | [
-0.75,
1,
-0.5,
-1.5,
-0.75,
-1.25,
-0.75,
-1,
-2.5,
-0.25,
-0.75,
1.5,
-0.25,
1.25,
1
] | 0.998945 | [
-1.629771341725018,
1.535989113406412,
1.575544474788753,
-1.4087313068546716,
-0.1237302936379537,
-0.020395894215535604
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 1 |
aba6fa396d14e467ae0d99dd38e3c99d | 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": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 3, "source": 1, "target": 6... | {"states": [126, 63], "expectation_value": -2.7498634616065676, "params": [[0.0027, -0.0024000000000000002, -0.0024000000000000002, 1.2562, 0.0014, -0.0025, -0.0021000000000000003], [1.5695000000000001, -0.0018000000000000002, 0.0023, 1.2183000000000002, -0.005200000000000001, 0.0036000000000000003, -0.0027], [-1.8346,... | -0.75 * (Z(0) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.25 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(6)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + 0.0 * Z(3) + -0... | 9 | 7 | 4 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6029463113024511) q[0];
h q[1];
h q[2];
ry(0.7929991718921372) q[2];
h q[3];
ry(0.8794283440467482) q[3];
h q[4];
ry(0.7775597893498037) q[4];
cx q[1], q[4];
ry(-0.7775597893498037) q[4];
cx q[1], q[4];
cx q[4], q[2];
ry(-0.7929991718921372) q[2];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIIZIZI",
"IIZIIZI",
"ZIIZIII",
"ZIIIIIZ",
"ZIIIIZI",
"IIIZZII",
"IIIIZZI",
"IIZIZII",
"ZIIIZII",
"IZIIIZI",
"ZZIIIII",
"IZIIZII",
"IIIZIII",
"IIIIIIZ",
"IIIIIZI",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IZIIIII"
] | [
-0.75,
-0.25,
-1.5,
-0.25,
1,
-0.75,
-0.75,
-0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-1.5,
0,
-0.25,
-0.75,
1,
-0.75,
-0.75,
1.5
] | 0.97193 | [
1.5743455116567144,
1.5551195786996075,
1.5859983437842744,
1.5572663646124898,
0.8452599701378314,
1.7588566880934964,
0.9720374565052816,
-1.2058926226049023,
-0.0008241090567600584,
0.3357831707759824,
-0.22263848914659737,
0.09928482409924796,
-0.45654623459993954,
-0.20093592429500787... | {
"n_parameters": 40,
"n_qubits": 7,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 453 |
0f435eed505f807fb8dc44643dfd43ce | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 22, "source": 0, "target": 2}, {"weight": 25, "source": 0, "target": 3}, {"weight": 2, "source": 1, "target": 2}, {"weight": 24, "source":... | {"states": [371, 413], "expectation_value": -1.1066079113696148, "params": [[-0.0733, -0.084], [0.0737, 0.078]], "bitstrings": ["010001100", "001100010"], "total_optimization_steps": 10, "probabilities": [0.0034876941467687633, 0.0034876941467687638], "optimization_time": 6.071936845779419} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.366669122515066) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.366669122515066) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.366669122515066) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.366669122515066) q[3];
cx q[0], q[3];
h q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 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 |
9d1382902993d8e771af3489e0021226 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [467, 250], "expectation_value": -0.06458959486882447, "params": [[0.0256, -0.023, -0.036500000000000005, -0.046], [-0.0533, -0.013300000000000001, 0.0142, 0.038200000000000005]], "bitstrings": ["000101100", "100000101"], "total_optimization_steps": 10, "probabilities": [0.0022512169177384355, 0.002251216917... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 1 | 9 | 4 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.125, "smallest_bitstrings": ["100000101", "010010001", "000101100", "010001010"], "largest_eigenvalue": 5.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.5734866058128874) q[0];
ry(-3.049185198245095) q[1];
rz(-pi) q[1];
h q[2];
ry(1.356383431000579) q[2];
cx q[2], q[1];
ry(-0.11338480721692776) q[1];
cx q[2], q[1];
ry(0.08622704143012419) q[2];
rz(-pi) q[3];
ry(-0.08286575263427674) q[3];
ry(-0.06072020170... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIZZIIIZ",
"IIZIIIIZI",
"IIZIZIIII",
"IZIIZIIII",
"IZZIIIIII",
"IZZIZIIII",
"IIIZIIZII",
"... | [
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,
0.25,
0.25,
0.25,
-0.25,
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,
0,
-0.25,
0,
0
] | 0.994348 | [
-1.5734866058128874,
-1.636888113613539,
-1.4874054263622778,
1.356383431000579,
1.3650040642332704,
-0.04534139745877805,
0.22676961443385552,
-0.02917844896579387,
0.17245408286024838,
-0.03354793163126881,
0.029471096484107714,
0.07208817537219585,
0.1322483325046339,
-0.092611818275263... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
784a03ffbabc0f60845c721012a57bd6 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target":... | {"states": [676, 678], "expectation_value": -5.522381652106263, "params": [[[1.612, 0.0089], [0.0031000000000000003, 0.0098], [1.6067, 0.0019], [0.0025, 0.0083], [1.6132, 0.005200000000000001], [0.0023, 0.005200000000000001], [0.0022, 0.0095], [1.6113000000000002, 0.0057], [1.6055000000000001, 0.0016], [0.5336000000000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(9) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["0101011001", "0001111010"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(3.58869754537139) q[0];
rz(-1.042155240727888) q[0];
rx(-0.23753092297600403) q[1];
rz(0.6410665523973437) q[1];
rx(3.0872202670675466) q[2];
rz(-0.15849004762728103) q[2];
rx(-0.007502362666382045) q[3];
rz(0.4108573077260425) q[3];
rx(2.903593847691676) q[4];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIIIZIZIII",
"IIIIZIIIZI",
"IIIIZZIIII",
"IIIZIIZIII",
"IIIZIIIIZI",
"IIIZZIIIII",
"IZIIIIIIZI",
"IZIZIIIIII",
"IIIIZIIZII",
"IIIZIIIZII",
"IIZIIIZIII",
"ZIIIIZIIII",
"ZZIIIIIIII",
"IIIIIIZIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-2,
-1,
-2,
-2,
-1,
-0.5,
0,
-0.5
] | 0.984361 | [
3.58869754537139,
-1.042155240727888,
-0.23753092297600403,
0.6410665523973437,
3.0872202670675466,
-0.15849004762728103,
-0.007502362666382045,
0.4108573077260425,
2.903593847691676,
-0.36296638397911574,
0.03932317285682775,
-0.11308823499472344,
-0.27732972475269957,
3.0937363811124086,... | {
"n_parameters": 19,
"n_qubits": 10,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 25 |
eabc5a01649d5bc499596bd844e547e9 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 3, "so... | {"states": [49290, 49284], "expectation_value": -18.69712493500341, "params": [[0.1306, 1.3828, -0.0029000000000000002, -0.0039000000000000003, 0.0008, -0.0045000000000000005, -0.0026000000000000003, 0.2914, 1.6840000000000002, -0.0021000000000000003, -0.0046, -0.0025, 1.5762, 1.6275000000000002, 1.5770000000000002, -0... | 0.5 * (Z(0) @ Z(7)) + 2.0 * (Z(8) @ Z(7)) + 1.0 * (Z(8) @ Z(0)) + 1.0 * (Z(1) @ Z(7)) + 0.8888888888888888 * (Z(1) @ Z(0)) + 2.0 * (Z(1) @ Z(8)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(8)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -1.0 * (Z(2) @ Z(8)) + -0.5 * (Z(12) @ Z(7)) + -1.0 * (Z(1... | 10 | 16 | 1 | {"smallest_eigenvalues": [-19.33333333333302], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.333333333332853, "smallest_bitstrings": ["0011111101111011"], "largest_eigenvalue": 74.66666666666701} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(0.2664069181067321) q[0];
ry(0.8865655202288814) q[1];
ry(0.04041040581954977) q[2];
ry(-0.1463087441347665) q[3];
ry(-0.0017122900369444215) q[4];
ry(0.05053747684794381) q[5];
ry(0.01584114424576765) q[6];
ry(-0.16220839314721258) q[7];
ry(0.8341087173554764) q[8]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} | [
"IIIIIIIIZIIIIIIZ",
"IIIIIIIZZIIIIIII",
"IIIIIIIZIIIIIIIZ",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIZIIIIIIZI",
"IIIIIIIIZZIIIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIZIZIIIIII",
"IIIIIIIIIZIIIIZI",
"IIIIIIIIZIIIIZII",
"IIIIIIIZIIIIIZII",
"IIIZIIIIZIIIIIII",
"IIIZIIIZIIIIIIII",
"IIIZIII... | [
0.5,
2,
1,
1,
0.8888888888888888,
2,
-0.5,
-0.5,
-1,
-1,
-0.5,
-1,
-0.5,
-1,
0.5,
-1,
-2,
1,
2,
-0.5,
-1,
0.5,
1,
2,
-1,
-2,
0.8888888888888888,
1,
2,
1,
0.5,
1,
-0.5,
-0.5,
-1,
-0.5,
-1,
1,
2,
-1,
-1,
-2,
-1,
-2,
1,
0.5,
1,... | 0.972601 | [
0.2664069181067321,
0.8865655202288814,
0.04041040581954977,
-0.1463087441347665,
-0.0017122900369444215,
0.05053747684794381,
0.01584114424576765,
-0.16220839314721258,
0.8341087173554764,
0.05283698138380155,
0.04289513560780135,
0.13517469731113882,
0.7706414786879242,
0.256894633527048... | {
"n_parameters": 57,
"n_qubits": 16,
"optimal_eigenvalue": -19.33333333333302,
"target_ratio": 0.97,
"target_value": -18.75333333333303
} | 4 |
a0deb444319ced8bcdcd189586ecfbe8 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target":... | {"states": [25, 89], "expectation_value": -8.559779915146871, "params": [0.0007, 0.3109, 0.0034000000000000002, 0.0035, 0.2722, 0.464, 0.26780000000000004, 0.008700000000000001, 0.0028, 0.4423, 0.0028, 0.0022, 0.8014, 0.13520000000000001, 0.8031, 0.0024000000000000002, 0.001, 0.4505, 0.0011, 0.0091, 0.8078000000000001,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(7) ... | 7 | 10 | 1 | {"smallest_eigenvalues": [-10.5, -10.5, -10.5, -10.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -9.5, "smallest_bitstrings": ["1011100110", "1110110010", "1110100110", "1110011010"], "largest_eigenvalue": 29.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.10107251966102167) q[0];
rz(0.2253430447944389) q[0];
rx(0.33156741998429806) q[1];
rz(0.15476433542370577) q[1];
cx q[1], q[0];
rz(-0.06804301067150426) q[0];
cx q[1], q[0];
rx(0.0685430224531691) q[0];
rz(0.008177744689995742) q[0];
rx(-0.20701677720265796) 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": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIZIIIIIZ",
"IIIZIZIIII",
"ZIIIIIIIIZ",
"IIIIIIIZZI",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIZIIIZII",
"IIZIIIIIZI",
"IIZIZIIIII",
"IIZIIIIZII",
"IZIIIIZIII",
"IZIIIZIIII",
"IZIIZIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-2.5,
-1.5,
-2.5,
-1.5,
-1.5,
0,
-2.5,
-1.5,
-2.5
] | 0.980473 | [
-0.10107251966102165,
0.15730003412293456,
0.33156741998429806,
0.15476433542370577,
-0.04458624390843242,
0.6013693512114244,
1.5295329490836367,
-0.00896225912767732,
0.013315915087561254,
0.3510505731992501,
1.6583431565466582,
0.18695969656625108,
1.5091894518476148,
0.0138296360014542... | {
"n_parameters": 46,
"n_qubits": 10,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 18 |
6aecb2db5a17939aba5a720d201b5cc2 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [52, 74], "expectation_value": -0.12718486493565004, "params": [[0.06470000000000001], [-0.0514]], "bitstrings": ["1001011", "0110101"], "total_optimization_steps": 10, "probabilities": [0.00860349834863228, 0.008604084274442774], "optimization_time": 1.3713181018829346} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(4) + -1.0 * Z(3) + -0.5 * Z(1) + -1.0 * Z(5) + -0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["1001110", "0110110", "0110101", "1001011", "0011110"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.0715542582198722) q[0];
rz(1.0083772859403712) q[0];
rx(1.6769015622502992) q[1];
rz(0.2650261056729445) q[1];
cx q[1], q[0];
rz(-0.36671500312583316) q[0];
cx q[1], q[0];
rx(0.0715542582198722) q[0];
rz(0.3120407516130417) q[0];
rz(-0.5370950262900875) q[1];
rx(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;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[2], q[3];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIZIIIZ",
"IIIZZII",
"IIZZIII",
"IIIZIZI",
"IZZIIII",
"IZIIIZI",
"ZIZIIII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIZIII",
"IIIIIZI",
"IZIIIII",
"ZIIIIII"
] | [
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,
-0.5,
-1,
-0.5
] | 0.973081 | [
0.07155425821987221,
0.641662282814538,
1.6769015622502992,
0.2650261056729445,
0.04584717393132173,
0.8409963385638537,
1.5034072014654243,
0.5413479186498418,
1.6128564837138002,
-0.11806954381667668,
1.250784928120108,
-0.12875851685508372,
1.5487426856542852,
0.012000950553302692,
0.... | {
"n_parameters": 50,
"n_qubits": 9,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 14 |
60398fb48fae0ab80db73ff204bb2283 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "ta... | {"states": [12, 76], "expectation_value": -4.5374911353066905, "params": [-0.0023, 0.26980000000000004, 0.47690000000000005, 0.055200000000000006, 0.0553, 0.3161, -0.002, 0.2876, 0.5051, 0.12010000000000001, 0.5015000000000001, 0.0008, 0.10250000000000001, 0.2738, 0.0391, 0.3018, 0.0024000000000000002, 0.2808, 0.467400... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.0 *... | 3 | 8 | 4 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.5, "smallest_bitstrings": ["10111001", "11001101", "10101101", "10110011", "11010110", "11110010"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.049997253078845255) q[0];
rz(0.6373789535874561) q[0];
rx(0.8506434108388587) q[1];
rz(0.30262469130046554) q[1];
rx(-0.026193967120628894) q[2];
rz(0.1078281346735146) q[2];
rx(0.027362224015696386) q[3];
rz(0.2921159517465628) q[3];
rx(0.38258012900251587) 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",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"ZIIIIIZI",
"ZIIIZIII",
"IZIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-2,
-1,
-1.5,
-1,
-1,
-1,
-0.5
] | 0.97121 | [
-0.049997253078845255,
0.628702504641224,
0.8506434108388587,
0.17364036374053193,
-0.026193967120628894,
0.34805597687857015,
0.027362224015696383,
0.21170946458749543,
0.3825801290025159,
0.21476406057459307,
0.5429881122364437,
0.05111496837897449,
0.2550534714000958,
0.3024450881190579... | {
"n_parameters": 89,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 11 |
8148881560921472967 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 6], [1, 4], [1, 6, 7], [0, 3, 4, 6, 7], [4, 5, 6, 7], [0, 2, 3, 4, 5, 7], [0, 3, 5, 6]]} | {"states": [229, 245], "expectation_value": -0.7712188701124963, "params": [[0.331], [-0.3272]], "bitstrings": ["00011010", "00001010"], "total_optimization_steps": 40, "probabilities": [0.010281760590457809, 0.010847331662286323], "optimization_time": 3.3268790245056152} | 0.5 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.13333333333333333 * (Z(4) @ Z(6)) + 0.03333333333333333 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.3 * (Z(7) @ Z(6)) + 0.03333333333333333 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.13333333333333333 * (Z(0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.1166666666666663], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0500000000000003, "smallest_bitstrings": ["00001010"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[2];
rz(1.5199690801225265) q[2];
cx q[6], q[2];
cx q[6], q[1];
rz(0.0036067857810122444) q[1];
cx q[6], q[1];
cx q[6], q[4];
rz(0.15471303568976671) q[4];
cx q[6], q[4];
cx q[2], q[4];
rz(-0.143234446219... | OPENQASM 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;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IZIIIZII",
"IZIIIIZI",
"IZIZIIII",
"IIIZIZII",
"IIIZIIZI",
"ZZIIIIII",
"ZIIIIZII",
"ZIIIIIZI",
"ZIIZIIII",
"IZIIIIIZ",
"IIIIIZIZ",
"IIIZIIIZ",
"ZIIIIIIZ",
"IZIIZIII",
"IIIIZZII",
"IIIZZIII",
"ZIIIZIII",
"IIIIZIIZ",
"IZZIIIII",
"IIZIIZII",
"IIZZIIII",
"ZIZIIIII",
"IIZIIII... | [
0.5,
0.16666666666666666,
0.13333333333333333,
0.03333333333333333,
0.5,
0.3,
0.03333333333333333,
0.16666666666666666,
0.16666666666666666,
0.13333333333333333,
0.03333333333333333,
0.08333333333333334,
0.08333333333333334,
0.13333333333333333,
0.03333333333333333,
0.08333333333333334... | 0.768862 | [
1.5199690801225265,
0.0036067857810122444,
0.15471303568976671,
-0.1432344462193464,
0.12521183001155625,
0.09506127663715497,
0.10123092855658418,
-0.07551948405879487,
0.49037710686180186,
1.3883316182005925,
1.342605261305118,
-0.8898920666343679
] | {
"n_parameters": 12,
"n_qubits": 8,
"optimal_eigenvalue": -2.1166666666666663,
"target_ratio": 0.97,
"target_value": -2.0531666666666664
} | 249 |
863bb0118454615128c464614dcacff0 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [125, 109], "expectation_value": -54.640655940678506, "params": [-0.0027, 0.6207, 0.9058, -0.0009000000000000001, 0.8971, 0.1393, 0.4549, 0.2642, 0.8957, -0.007500000000000001, 0.8967, 0.07880000000000001, 0.39940000000000003, 0.38370000000000004, 0.8921, 0.0279, -0.0025, 0.6166, 0.9033, 0.0022, 0.8941, 0.14... | 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(2) @ Z(5)) + 6.0 * (Z(3) @ Z(5)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(7) @ Z(5)) + 6.0 * (Z(7) @ Z(6)) + 1.0 * Z(1) + -4.5 * Z(0) + 20.0 * Z(5) + 16.0 * Z(2) + 6.5 * Z(3) + 19.5 * Z(4) + 3.5 * Z(6) + 7.5 *... | 18 | 8 | 3 | {"smallest_eigenvalues": [-70.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.5, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 136.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.0011373964445317226) q[0];
rz(0.7604589915624222) q[0];
rx(0.8775241310274445) q[1];
rz(-0.1661163743357596) q[1];
rx(0.8946599532293554) q[2];
rz(-0.20462755161196322) q[2];
rx(0.1978285905007618) q[3];
rz(0.27346657956834564) q[3];
rx(1.2852829079073518) 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], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIZIIZII",
"IIZIZIII",
"IIIIZZII",
"IIZZIIII",
"IIIZIZII",
"IIIZZIII",
"IZIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
1,
-4.5,
20,
16,
6.5,
19.5,
3.5,
7.5
] | 0.974069 | [
0.0011373964445317228,
0.5864885377335682,
0.8775241310274445,
-0.1661163743357596,
0.8946599532293554,
-0.20462755161196322,
0.1978285905007618,
0.27346657956834564,
1.2852829079073518,
-0.17977881258386325,
0.9330603003171974,
0.08855479890941094,
0.15785605323464347,
0.4614358786603448,... | {
"n_parameters": 71,
"n_qubits": 8,
"optimal_eigenvalue": -70.5,
"target_ratio": 0.97,
"target_value": -68.385
} | 9 |
9e7016c164f10697b0206c1127149a76 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [33, 3], "expectation_value": -9.972728722406805, "params": [[-0.0403, -0.0333, -0.020800000000000003, -0.0106], [0.0635, 0.0717, 0.0699, 0.0645]], "bitstrings": ["011110", "111100"], "total_optimization_steps": 10, "probabilities": [0.04480119158578794, 0.04601877133082025], "optimization_time": 7.814395666... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.25 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.... | 14 | 6 | 4 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 70.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0017965964091332248) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0017965964091332248) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0017965964091332248) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0017965964091332248) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
-6,
-6,
-6,
-6,
-5.5,
-5.5
] | 0.981987 | [
0.0017965964091332248,
-0.07551128298742306,
1.2634867789247113,
-1.4711869636840829,
1.2568819748851656,
-0.04637896190664645,
-0.0710626490461622,
0.48661910135770714,
0.5319265632727552,
0.3667675496563035
] | {
"n_parameters": 10,
"n_qubits": 6,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 29 |
5ead2f429c96918822571a5b0efcbbf0 | 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": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"sour... | {"states": [449, 457], "expectation_value": -3.789905129403807, "params": [0.8102, 0.0045000000000000005, 0.8056000000000001, 0.0035, 0.8105, 0.0074, 0.1524, 0.2989, 0.0655, 0.0167, 0.7976000000000001, 0.0115, 0.3885, -0.1923, 0.37920000000000004, 0.0017000000000000001, 0.8036000000000001, 0.0031000000000000003, 0.8071... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + -1.0 * Z(7) + 0.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(1) + -1.5 * Z(4) + -0.5 * Z(... | 4 | 9 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["000110110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.1268498620328464) q[0];
rz(1.3101664930914065) q[0];
rx(1.2059595637772331) q[1];
rz(1.683844867110679) q[1];
rx(1.4409691102057613) q[2];
rz(1.4886071267903613) q[2];
rx(-0.04615720398215214) q[3];
rz(2.500508176917771) q[3];
rx(0.10124515498514691) q[4];
rz(1.771... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IZIIIIIIZ",
"IIIIIZIZI",
"IZIIZIIII",
"IIIIZIIZI",
"IIZIIIIZI",
"IIIIIZZII",
"IIIZIZIII",
"IIIZZIIII",
"ZZIIIIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"IZIIIIIII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIZIIIIII",
"IIIIIIZII",
"IIIZIIIII",
"ZIIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-1,
-1,
-1.5,
-0.5,
0,
-0.5,
-1
] | 0.977044 | [
1.1268498620328464,
-0.26062983370349047,
1.2059595637772331,
0.1130485403157826,
1.4409691102057613,
-0.08218920000453576,
-0.04615720398215213,
0.9297118501228747,
0.10124515498514691,
0.20032440811991492,
1.7724668722367136,
-0.08788396243463753,
-0.0043074145285787735,
-0.3443269060746... | {
"n_parameters": 51,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 45 |
7213bcdac492d012065ef417f31c81b5 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 7}, {"weight": 11, "source": 0, "target": 3}, {"weight": 8, "source": 2, "targ... | {"states": [380, 220], "expectation_value": -8.259485631814567, "params": [[-0.0417], [0.053000000000000005]], "bitstrings": ["010000011", "100100011"], "total_optimization_steps": 10, "probabilities": [0.003347659384151365, 0.0037698484348978154], "optimization_time": 2.1037094593048096} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-81.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 165.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.20340396474871564) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.20340396474871564) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.20340396474871564) q[1];
cx q[0], q[1];
rz(0.5775232461541333) q[0];
rx(0.06917124980124593) q[0];
h q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"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,
10.5,
2.5,
19,
13,
12,
15,
21.5,
-2,
6
] | 0.97222 | [
0.20340396474871564,
-0.3067038430799865,
0.5775232461541325,
-1.6381325054182243,
-0.4463172640294553,
-1.5867492627759474,
-1.750354489443055,
-1.983169579287282,
0.5800697346675281,
0.09245405732541026,
0.06917124980124599,
0.22803559221962097,
-0.40505351954549285,
0.10795793888031349,... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -81,
"target_ratio": 0.97,
"target_value": -78.57
} | 70 |
cde6b48ed870286595c1455af7aff8bd | vertex_cover | qaoa | {"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, 14], "expectation_value": -0.1662555560787412, "params": [[0.07640000000000001, 0.07010000000000001], [-0.0854, -0.0767]], "bitstrings": ["1110", "0001"], "total_optimization_steps": 10, "probabilities": [0.07095079570174645, 0.0791612545515655], "optimization_time": 0.9560854434967041} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["0001"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx... | null | {"circuits": [], "gradients": []} | [
"ZIIZ",
"ZIZI",
"ZZII",
"ZIII",
"IIIZ",
"IIZI",
"IZII"
] | [
0.5,
0.5,
0.5,
-1,
0,
0,
0
] | 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 |
1ba2ebfd309b0e7a51e89a9f5e1fc243 | 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": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capac... | {"states": [129, 131], "expectation_value": -8.61268694874579, "params": [-0.0002, -0.2979, -0.007500000000000001, -0.3523, -0.006900000000000001, -0.32330000000000003, -0.01, -0.3675, 0.38120000000000004, 0.1121, 0.3926, 0.0089, -0.0054, -0.34400000000000003, -0.0036000000000000003, -0.35600000000000004, -0.0047, -0.3... | -0.25 * (Z(0) @ Z(3)) + -0.75 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(2)) + -0.5 * (Z(8) @ Z(2)) + 1.25 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(5)) + -0.25 * (Z(9) @ Z(2)) + -0.5 * (Z(9) @... | 5 | 10 | 4 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.0, "smallest_bitstrings": ["1001111100", "1001111000", "1101111100", "1101111000"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.5435724973832478) q[0];
h q[1];
h q[2];
ry(1.60553270612249) q[2];
rz(-pi) q[3];
ry(-0.039195701137748395) q[3];
ry(-0.271381111482453) q[4];
rz(-pi) q[4];
ry(-0.09774851241138072) q[5];
rz(-pi) q[5];
h q[6];
ry(-1.6069797629833635) q[6];
h q[7];
h q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIZIZIII",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIZIIIIZI",
"IIIZIIIZII",
"IIIIIIIZZI",
"IIZIZIIIII",
"IIZIIIIZII",
"IZIIIIIZII",
"ZIIIIIIIIZ",
"ZIIIZIIIII",
"ZIIIIIIZII",
"ZZIIIIIIII",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIZIZIIII",
"IZIIIZIIII",
"IIIIIIZIII",
"IIIIIIIIIZ"... | [
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
1.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.75,
-0.75,
-0.25,
0.25,
-0.25,
-0.25,
-1,
0.25,
1.5,
0.25,
0.25,
0,
-1
] | 0.973032 | [
1.60553270612249,
-1.0871449947664955,
-1.6069797629833635,
-1.3467415068748914,
-1.645056077871255,
1.072062726545818,
-0.6555179101580553,
1.3880737753115537,
0.37893192140828647,
-0.24535356636188016,
0.24418821356035764,
-0.17154003205098434,
-0.15059668292025746,
-0.044618021006704714... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 25 |
4455f86d6bbe6ba7a95bec45f96460b4 | 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": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 8}, {"sour... | {"states": [292, 300], "expectation_value": -4.55023473274114, "params": [[1.0401, 0.2624, 0.0241, 1.0491000000000001, 0.0064, 0.5351, 1.1978, -0.0162, -0.0849], [0.9782000000000001, 0.3688, 0.0862, 1.0421, -0.0021000000000000003, -0.4032, 0.8699, 0.3342, 0.08360000000000001], [1.0738, 0.0219, 0.0115, 1.0644, -0.0011, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + -0.5 * Z(1) + -0.5 * Z(0) + -1.0 * Z(4) + -1.0 * Z(2) + -0.5 * Z(3) + -1.5 * Z... | 10 | 9 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.0, "smallest_bitstrings": ["010110011", "011011010", "011010011", "101100011", "110100011", "101011010", "101010011"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.110858251399727) q[0];
ry(0.3715343948859185) q[1];
ry(0.03733782962898802) q[2];
ry(1.0837324320853585) q[3];
ry(0.0417087221517887) q[4];
ry(0.8277052859094582) q[5];
ry(1.5998816239881244) q[6];
ry(0.00014811013730307854) q[7];
ry(0.12014541650468354) q[8];
cz q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIIZ",
"IIIIIIZZI",
"IIIIZZIII",
"IIIIIZZII",
"ZIIIZIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZZIIIIIII",
"IZIZIIIII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIIZII",
"IIIIIZIII",
"ZIIIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"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,
-1,
-1,
-0.5,
-1.5,
-0.5,
-1,
0
] | 0.973713 | [
1.110858251399727,
0.3715343948859185,
0.03733782962898802,
1.0837324320853585,
0.0417087221517887,
0.8277052859094582,
1.5998816239881244,
0.00014811013730307854,
0.12014541650468354,
1.0025774808971564,
0.45901577718059783,
-0.0050707574624158855,
1.1291117578460022,
0.01830877373343765,... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 8 |
aa593368bb5365cab30d0ff25322eaa9 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "s... | {"states": [65, 1], "expectation_value": -1.6891326933558077, "params": [[-0.0852, -0.0876], [0.0785, 0.08030000000000001]], "bitstrings": ["110111110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.004876229016089163, 0.00496141305790236], "optimization_time": 2.8337104320526123} | -0.75 * (Z(0) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(2) @ Z(5)) + -0.25 * (Z(4) @ Z(6)) + -1.0 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(5)) + -0.5 * Z(3) + -0.25 * Z(0) + 1.0 * Z(8) + 0.25 * Z(1) + -0.5 * Z(6) + -2.5 * Z(5) + 1.0 * Z(2) + -0.25 * Z(4)... | 1 | 9 | 2 | {"smallest_eigenvalues": [-9.25, -9.25, -9.25, -9.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.25, "smallest_bitstrings": ["111111110", "111111100", "110111100", "110111110"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.2604022855737892) q[0];
rz(-0.01537861649750738) q[0];
rx(-0.12818536156118715) q[1];
rz(-0.0869066548434887) q[1];
rx(0.17384250003208646) q[2];
rz(0.07010493845988597) q[2];
rx(0.1597859737204616) q[3];
rz(-0.1345468314568281) q[3];
rx(-0.018218472456728235) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"ZIIIIIIIZ",
"IIIIIZIZI",
"IIZIIIIZI",
"IIIZIZIII",
"IIIZIIZII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIZIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIIZI",
"IIZIIIIII",
"IIIZIIIII",
"IIIIIIZII",
"IIIIZIIII",
"IZIIIIIII"
] | [
-0.75,
1,
-1,
-0.75,
-0.75,
-1,
-0.25,
-1,
-0.75,
-0.5,
-0.25,
1,
0.25,
-0.5,
-2.5,
1,
-0.25,
1.75
] | 0.972242 | [
-0.2604022855737892,
0.018502660556804107,
-0.12818536156118712,
-0.06547363986262428,
0.17384250003208646,
0.07050808954344356,
0.1597859737204616,
-0.08364495497588834,
-0.018218472456728235,
-0.32470608609845375,
-0.048560420322889965,
-0.08972281135762039,
-0.06810126215350618,
0.05827... | {
"n_parameters": 161,
"n_qubits": 9,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 5 |
1434096e59219230a9a448bfa214dbb8 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 5, "source": 3, "target": 2}, {"capaci... | {"states": [17, 31], "expectation_value": -3.6410997287602207, "params": [0.004, -0.31620000000000004, 0.8368, 0.7271000000000001, 0.010100000000000001, 0.5739000000000001, -0.0912, 1.514, 0.4413, 0.2727, -0.7762, 0.0362, 0.0039000000000000003, -0.5344, 0.5079, 0.7099000000000001, 0.0324, 0.8253, -0.052500000000000005,... | 0.25 * (Z(0) @ Z(5)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + 0.0 * Z(5) + -0.25 * Z(0) + 0.0 * Z(3) + 0.5 * Z(1) + -0.75 * Z(2) + 0.5 * Z(4) | 4 | 6 | 4 | {"smallest_eigenvalues": [-4.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 2.75} | 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(0.2564198566378726) q[0];
cx q[5], q[0];
rz(-0.3146460561418274) q[0];
rx(-1.6223542204331562) q[0];
cx q[5], q[3];
rz(-0.31464605614182717) q[3];
cx q[5], q[3];
cx q[3], q[1];
rz(-0.11063528912386725) 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": 5} | {"circuits": [], "gradients": []} | [
"ZIIIIZ",
"ZIZIII",
"IIZIZI",
"IIZZII",
"IZZIII",
"IZIZII",
"ZIIIII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"IIIZII",
"IZIIII"
] | [
0.25,
-0.25,
-0.5,
-1.25,
-1,
-0.5,
0,
-0.25,
0,
0.5,
-0.75,
0.5
] | 0.970556 | [
0.2564198566378726,
-0.31464605614182717,
-0.11063528912386725,
-0.22235587717504138,
0.043180038727850936,
0.9834780824833873,
0.5361200627626684,
0.807027611931993,
-1.6223542204331562,
0.5313479849503246,
-0.6614372268591644,
-0.18109175624279295,
-0.5344228021086342,
0.0592722986641893... | {
"n_parameters": 25,
"n_qubits": 6,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 114 |
98ff52dd3a46eb29e6baf499c47cc739 | edge_cover | qaoa | {"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": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [41, 22], "expectation_value": -0.09929265371539878, "params": [[-0.016900000000000002, 0.06280000000000001, 0.0645], [0.06810000000000001, -0.0347, -0.052500000000000005]], "bitstrings": ["010110", "101001"], "total_optimization_steps": 10, "probabilities": [0.01781599686714824, 0.01781599686714825], "optim... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4)... | 1 | 6 | 3 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.125, "smallest_bitstrings": ["010110", "011010", "011001", "101001", "111000", "011100"], "largest_eigenvalue": 4.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1168462545542617) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.1168462545542617) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.026972130850506856) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(0.1168462545542617) q[4];
cx 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZZII",
"IZIZII",
"IIZIIZ",
"IZIIIZ",
"ZIIIIZ",
"IZZIII",
"ZIZIII",
"ZZIIII",
"IZZIIZ",
"ZIZIIZ",
"ZZIIIZ",
"ZZZIII",
"ZZZIIZ",
"ZIIIZI",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
-0.125,
-0.5,
-0.5,
-0.125,
-0.125,
-0.125
] | 0.970018 | [
0.1168462545542617,
-0.026972130850506856,
-0.20600931729682775,
1.0218307194447722,
1.01684782657755,
-0.487001181761455,
-0.18723924510216475,
-0.19363825099940243,
0.5083138681492403,
0.8592380923212168,
-1.1972997634823022,
-0.3747232322032641,
0.4021503991921809,
0.9788967940340897,
... | {
"n_parameters": 20,
"n_qubits": 6,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 114 |
690ab9a303c84e82b8d6c798626278a5 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [0, 832], "expectation_value": -41.49126304711101, "params": [0.3786, -0.1973, 0.3259, -0.0523, -0.33080000000000004, 0.17350000000000002, -0.31570000000000004, 0.31320000000000003, 0.0008, 0.49000000000000005, 0.010400000000000001, 0.6282, -0.1998, 0.7708, 0.16970000000000002, 0.765, 0.0032, 0.7354, -0.007,... | -1.5 * (Z(0) @ Z(3)) + -1.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + -3.5 * (Z(4) @ Z(5)) + -4.0 * (Z(6) @ Z(5)) + -3.5 * (Z(6) @ Z(4)) + 1.0 * (Z(9) @ Z(5)) + -3.5 * (Z(9) @ Z(4)) + -3.5 * (Z(9) @ Z(6)) + 1.5 * (Z(2) @ Z(5)) + -3.5 * (Z(2) @ Z(4)) + -4.0 * (Z(2) @ Z(6)) + -3.5 * (Z(2) @ Z(9)) + -3.0 * (Z(8) @ Z(5)) + 1... | 6 | 10 | 4 | {"smallest_eigenvalues": [-43.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -40.0, "smallest_bitstrings": ["0010111111"], "largest_eigenvalue": 42.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.0713131931509305) q[0];
rz(1.7862098367790207) q[0];
rx(1.0594819371364768) q[1];
rz(1.5589265290462944) q[1];
rx(0.01573601181023064) q[2];
rz(2.2817926178052783) q[2];
rx(0.6615662260196581) q[3];
rz(2.620309016787145) q[3];
rx(0.03153201728100909) q[4];
rz(-3.0... | 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... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIIZIZI",
"IIIIIIIIZZ",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIZIZIIII",
"ZIIIZIIIII",
"ZIIIIZIIII",
"ZIIZIIIIII",
"IIIIZIIZII",
"IIIIIZIZII",
"IIIZIIIZII",
"ZIIIIIIZII",
"IZIIZIIIII",
"IZIIIZIIII",
"IZIZIIIIII",
"ZZIIIIIIII",
"IZIIIIIZII",
"IIZIZIIIII",
"IIZIIZIIII"... | [
-1.5,
-1.5,
0.5,
-3.5,
-4,
-3.5,
1,
-3.5,
-3.5,
1.5,
-3.5,
-4,
-3.5,
-3,
1,
1.5,
1,
-4,
1,
1,
-4,
-3,
1.5,
-3,
0.5,
0.5,
0.5,
1.5,
-2.5,
-3,
2,
-2.5,
1,
1
] | 0.970425 | [
1.0713131931509308,
0.2154135099841242,
1.0594819371364768,
-0.011869797748602046,
0.01573601181023064,
0.7109962910103812,
0.6615662260196581,
1.049512689992248,
0.031532017281009087,
1.6276333307871536,
0.011405340564087828,
1.8244243881924735,
0.033834528725764666,
0.81374651859747,
0... | {
"n_parameters": 94,
"n_qubits": 10,
"optimal_eigenvalue": -43,
"target_ratio": 0.97,
"target_value": -41.71
} | 72 |
b4386623ef42d59378644c97d49e9610 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 4, "source": 0, "t... | {"states": [94, 93], "expectation_value": -5.931154216737432, "params": [[-0.0351], [0.0458]], "bitstrings": ["10100001", "10100010"], "total_optimization_steps": 10, "probabilities": [0.005764024315332197, 0.006133239259881608], "optimization_time": 3.527219533920288} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 2.0 * Z(0) + 7.0 * Z(2) + 5.5 * Z(3) + 18.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.0, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 132.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.08721884646855041) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.08721884646855041) q[2];
cx q[1], q[2];
h q[3];
cx q[2], q[3];
rz(0.08721884646855041) q[3];
cx q[2], q[3];
rz(-1.0730503463760335) q[3];
rx(1.105039714593039) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[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": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIZZII",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
11,
2,
7,
5.5,
18,
19,
5,
10.5
] | 0.977482 | [
0.08721884646855041,
-1.310400955301092,
0.8609257949685372,
1.1797804650125223,
-1.0730503463760335,
-1.7402874989964554,
-1.2157574997078007,
0.7222803303040167,
-1.250584025873095,
1.1050397145930393,
-0.2453067931826156,
-0.48065206144719297,
0.5272825792139454,
-0.38909403682682453,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 62 |
3257eb74c5059c972aa1cf1f57c7841b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [11, 56], "expectation_value": -0.041925561709751966, "params": [[0.0304], [-0.022000000000000002]], "bitstrings": ["1110100", "1000111"], "total_optimization_steps": 10, "probabilities": [0.00794929268690412, 0.007970119593744225], "optimization_time": 2.6095824241638184} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.5 * Z(5) + -0.5 * Z(6) + -1.5 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1110100", "1010110", "1000111"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.604794358462062) q[0];
h q[1];
ry(1.4676073177425042) q[1];
h q[2];
ry(-0.5077466166761001) q[2];
h q[3];
ry(1.4266241947204965) q[3];
h q[4];
ry(-1.604794358462062) q[4];
ry(-0.15549175033431428) q[5];
rz(-pi) q[5];
h q[6];
cx q[6], q[2];
ry(0.50774661667... | 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[0], q[2];
rz(x0) q[2];
cx q[0], q[2]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"ZIIIIIZ",
"ZIIIZII",
"IIZIIZI",
"IIZIZII",
"IZZIIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIZIIII",
"IIIZIII"
] | [
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,
-1.5,
-1.5,
-0.5,
-1.5,
0
] | 0.998653 | [
-1.604794358462062,
-1.4553258713263464,
1.4266241947204965,
1.4676073177425042,
-1.0154932333522002,
0.6855737295491413,
-0.5831377709843016,
0.6175056371217669,
-0.38038496147893763,
0.31761360388928944,
-0.14371098723256165,
0.08004258973152818,
0.123377621009911,
0.17468612591959368,
... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
df62b430c122c4297c9377287854fb07 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [13, 15], "expectation_value": -0.2663610757407371, "params": [[-0.068, -0.06430000000000001, -0.07640000000000001], [0.07680000000000001, 0.0675, 0.0713]], "bitstrings": ["10010", "10000"], "total_optimization_steps": 10, "probabilities": [0.0424147832327833, 0.045621437046607066], "optimization_time": 2.54... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(1) + 0.0 * Z(4) + 0.5 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.25, -2.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.25, "smallest_bitstrings": ["10000", "10010"], "largest_eigenvalue": 1.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.4192363165159487) q[0];
h q[1];
ry(0.8083877277033201) q[1];
h q[2];
ry(1.5715365335575289) q[2];
cx q[2], q[1];
ry(-0.8083877277033201) q[1];
cx q[2], q[1];
ry(0.0015275764421637146) q[2];
h q[3];
h q[4];
cx q[4], q[0];
ry(0.4192363165159487) q[0];
cx q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": 4} | {"circuits": [], "gradients": []} | [
"IZIIZ",
"IZIZI",
"ZZIII",
"ZIIIZ",
"ZIIZI",
"IIZZI",
"IZIII",
"IIIIZ",
"IIIZI",
"ZIIII",
"IIZII"
] | [
-0.25,
-0.5,
-0.25,
0.5,
-0.25,
-0.5,
-0.5,
-0.25,
0.25,
0,
0.5
] | 0.976145 | [
1.5715365335575289,
1.6167754554066402,
-0.8384726330318975,
1.0454948872417675,
-1.0162029767581646,
0.5475724000797026,
-0.2924915317005682,
0.003055152884327429,
0.13920020947575934,
0.14473740227131043,
-0.1293458458327996,
-0.034238716862651924
] | {
"n_parameters": 12,
"n_qubits": 5,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 8 |
8681159038575862133 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 5], [2, 7], [0, 1], [5, 7], [3, 4], [1, 7], [6, 7], [1, 3], [3, 6], [1, 2], [0, 2], [0, 4], [0, 7], [4, 6]]} | {"states": [73, 182], "expectation_value": -0.06224772141627641, "params": [[-0.0438], [0.0514]], "bitstrings": ["10110110", "01001001"], "total_optimization_steps": 10, "probabilities": [0.00419188817767728, 0.00419188817767728], "optimization_time": 0.7221560478210449} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.0 * Z(5) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["01001001", "10110110"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(-0.509349931095959) q[1];
cx q[5], q[1];
cx q[1], q[2];
rz(-0.509349931095959) q[2];
cx q[1], q[2];
h q[6];
h q[7];
cx q[5], q[7];
rz(-0.509349931095959) q[7];
cx q[5], q[7];
cx q[1], q[7];
rz(1.288206252... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[5], q[7];
rz(x0) q[7];
cx q[5], q[7];
cx q[1]... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZI",
"IIIIIZZI",
"ZIZIIIII",
"ZIIIIIZI",
"ZIIIIZII",
"IIIIIIZZ",
"IIIIIZIZ",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIZIIIZ",
"IIIZZIII",
"ZZIIIIII",
"IZIIZIII",
"IZIZIIII",
"IIZIIIII",
"IIIIIIZI",
"IIIIIZII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.452492 | [
-0.509349931095959,
1.2882063095977968e-8,
0.654122569715303
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 107 |
0963943ecfb82868686868de206d3c2c | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}]} | {"states": [5, 13], "expectation_value": -2.320900166634894, "params": [[[0.004200000000000001, 0.6878000000000001], [-0.5844, 0.168], [1.0518, 0.0019], [0.0039000000000000003, 1.3205], [1.0588, -0.0035]], [[0.0017000000000000001, 0.741], [-0.5917, 0.307], [1.0501, 0.0019], [0.0021000000000000003, 1.3134000000000001], ... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + 0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(3) + -0.25 * Z(4) + 0.5 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["10010"], "largest_eigenvalue": 3.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.4948710520914895) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.4948710520914895) q[3];
cx q[0], q[3];
rz(-0.4948710520914896) q[3];
rx(-1.058874037423115) q[3];
h q[4];
cx q[1], q[4];
rz(0.2625528553115834) q[4];
cx q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
-0.25,
-0.25,
-0.5,
0.75,
-0.5,
0.25,
-0.25,
-0.25,
-0.25,
0.5
] | 0.618491 | [
-0.4948710520914895,
0.2625528553115834,
1.6007806305011483,
1.859838942507385,
1.4865699529568797,
-1.0588740374231147,
-0.22546151729226455,
0.8787999957155911,
3.678727237984558,
1.550791867295464,
1.2526545709057826,
-0.6302460970158399
] | {
"n_parameters": 12,
"n_qubits": 5,
"optimal_eigenvalue": -2.75,
"target_ratio": 0.97,
"target_value": -2.6675
} | 418 |
646c4ffdec7c3b688313fcfec6df6ea9 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [8, 14], "expectation_value": -3.499971821732338, "params": null, "bitstrings": ["10111", "10001"], "total_optimization_steps": 22, "probabilities": [1.3834854838606892e-05, 0.9999858813341931], "optimization_time": 14.407137155532837} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["10001"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(1.9669260845713552) q[0];
ry(0.1024795632901214) q[0];
rz(-1.7618896224722536) q[0];
rz(1.3195676915300085) q[1];
ry(2.675781808525202) q[1];
rz(-2.101131985716676) q[1];
rz(0.659445598074063) q[2];
ry(2.9276292745841843) q[2];
rz(-2.5769113250260087) q[2];
rz(-1.592... | 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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZIZ",
"IZIIZ",
"ZIIZI",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-0.5,
-1
] | 0.973844 | [
-0.03861409541289346,
0.30559213356773784,
0.7326018024600061,
-0.06435106480608022,
0.9547122432617727,
-0.15670419204282596,
1.266054401368888,
0.002295537787968205,
-0.1307986670653961,
0.03183210554700622,
0.016147551089138828,
-0.018645541425944934,
1.0077607251862293,
1.0367697074034... | {
"n_parameters": 27,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 9 |
540e4dc6cd5ba125f618f28f48205cbe | 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": 2, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 3}, {"weight": 18, "source": 0, "target": 4}, {"weight": 13, "source": 1, "tar... | {"states": [245, 244], "expectation_value": -13.720993992612874, "params": [[-0.036500000000000005, -0.018000000000000002], [0.0579, 0.0425]], "bitstrings": ["100001010", "100001011"], "total_optimization_steps": 10, "probabilities": [0.005410691792061993, 0.006406048353108122], "optimization_time": 3.600921869277954} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-90.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 167.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027358022598444096) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.027358022598444096) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.027358022598444096) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.027358022598444096) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIZIIIZI",
"IIZIIIZII",
"IIZIIZIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIIIZIII",
"IZZIIIIII",
"ZIIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
11,
10,
22.5,
12,
20,
0.5,
18.5,
5,
0.5
] | 0.970087 | [
0.027358022598444096,
-0.4503917049630143,
1.0157258650303829,
-1.1759847829526469,
-1.474408903266772,
-1.7126031515720757,
0.9015076408836524,
-1.1963827420035533,
0.486132884786999,
0.7308189328179706,
-0.0525669333670543,
-1.0515114137203625,
0.17841515765600538,
-0.767218394376632,
... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -90.5,
"target_ratio": 0.97,
"target_value": -87.785
} | 39 |
-169116440002931486 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 4], [0, 3, 4], [1, 2, 3, 5], [0, 1, 2, 3]]} | {"states": [43, 53], "expectation_value": -0.4573814570514889, "params": [[-0.3514], [0.3629]], "bitstrings": ["010100", "001010"], "total_optimization_steps": 40, "probabilities": [0.03065578133350924, 0.030923297303062508], "optimization_time": 2.19103741645813} | 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.0833333... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.25, "smallest_bitstrings": ["001010"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-2.5538501377092047) q[0];
rz(-pi) q[0];
h q[1];
h q[2];
ry(-0.22486959266420325) q[2];
h q[3];
ry(1.5194732810321177) q[3];
h q[4];
ry(-0.3444351155888894) q[4];
cx q[1], q[4];
ry(0.3444351155888894) q[4];
cx q[1], q[4];
ry(-0.3840613837541594) q[4];
cx q[3], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
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], ... | null | {"circuits": [], "gradients": []} | [
"IZIIZI",
"IZIIIZ",
"IIIIZZ",
"IZZIII",
"IIZIZI",
"IIZIIZ",
"IIIZZI",
"IIIZIZ",
"IIZZII",
"ZIIIZI",
"ZIZIII",
"ZIIZII",
"IZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.25,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666663,
0.25,
0.29166666666666674,
0.416666666666666... | 0.974112 | [
1.5194732810321177,
-0.6888702311777788,
1.021130663973481,
-0.7681227675083188,
0.4292373642115897,
-0.405557017345143,
0.6252071089165286,
-0.4497391853284065,
0.7156934039955587,
-0.4674882683446062,
0.17084001769684898,
0.06132917381388029,
-0.28287145216443965,
-0.10976347887673907,
... | {
"n_parameters": 28,
"n_qubits": 6,
"optimal_eigenvalue": -1.333333333333333,
"target_ratio": 0.97,
"target_value": -1.293333333333333
} | 5 |
c22cec1796f2f52036673550667aae4b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 3}, {"weight": 14, "source": 0, "target": 2}, {"weight": 5, "source": 2, "targ... | {"states": [250, 218], "expectation_value": -73.68039574027335, "params": [0.5802, 0.0031000000000000003, 3.0046, 0.0059, 2.9984, 0.0053, 1.5587, 0.0039000000000000003, 2.9985, 0.0047, 2.9963, 0.007200000000000001, 0.8199000000000001, 0.0038, 3.0023, 0.0088, 1.1766, 0.0009000000000000001, 0.0035, 0.0055000000000000005,... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 18 | 9 | 1 | {"smallest_eigenvalues": [-86.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 173.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022550136038931325) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022550136038931325) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022550136038931325) q[2];
cx q[0], q[2];
rz(1.5706696547603212) q[0];
rx(1.5752335318930322) q[0];
h q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IZIIZIIII",
"IIZIZIIII",
"IZZIIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"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,
11.5,
2,
19.5,
11.5,
23.5,
17,
13.5,
3,
4.5
] | 0.798275 | [
0.022550136038931325,
-1.5647798587286847,
1.5706696547603212,
-1.5704337829937085,
-1.5705745241370213,
-1.5703057136803882,
-1.5706971062399833,
1.5706462974086588,
1.5752335318930322
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -86.5,
"target_ratio": 0.97,
"target_value": -83.905
} | 249 |
-5368182025704786211 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3], [5, 7], [3, 7], [2, 7], [1, 2], [3, 5], [0, 2], [5, 6], [0, 7], [4, 6]]} | {"states": [35, 220], "expectation_value": -0.09643432741460062, "params": [[0.07050000000000001], [-0.07]], "bitstrings": ["11011100", "00100011"], "total_optimization_steps": 10, "probabilities": [0.004381241798895853, 0.004381241798895853], "optimization_time": 0.6195597648620605} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(4... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["11011100", "11010011", "11010010", "10101100", "00101101", "01010011", "00100011", "00101100"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.6159174073233068) q[2];
cx q[3], q[2];
h q[4];
h q[5];
cx q[3], q[5];
rz(0.6159174073233068) q[5];
cx q[3], q[5];
h q[6];
h q[7];
cx q[3], q[7];
rz(0.6159174073233068) q[7];
cx q[3], q[7];
cx q[2], q[7];
rz(6.972908028... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[5];
rz(x0) q[5];
cx q[3], q[5];
cx q[3], q[7];
rz(x0) q[7];
cx q[3], q[7];
cx q[2]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZII",
"IIZIZIII",
"ZIIIZIII",
"ZIIIIZII",
"ZIZIIIII",
"IIIIIZZI",
"IIIIIZIZ",
"ZIIIIIIZ",
"IZZIIIII",
"IZIZIIII",
"IIIIZIII",
"IIIIIZII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IZIIIIII",
"IIIZIIII"
] | [
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
] | 0.529535 | [
0.6159174073233068,
6.972907985715635e-8,
-0.6795994550118676
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 96 |
369573ac9490fc7ab9a36c7a904e7496 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "ta... | {"states": [124, 127], "expectation_value": -0.9653974602569719, "params": [[-0.0506], [0.0565]], "bitstrings": ["0000011", "0000000"], "total_optimization_steps": 10, "probabilities": [0.010784552015177976, 0.010784552015177978], "optimization_time": 0.8343651294708252} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 1.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(4) + -1.0 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-18.0, -18.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.0, "smallest_bitstrings": ["0000000", "0000011"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.6525704067242061) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.6525704067242061) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.8240047301266709) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.6525704067242061) q[3];
cx q[1], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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)... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
-2.5,
-2.5,
-2,
-2.5,
1,
-2.5,
-2.5,
0.5,
1,
-2,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
1
] | 0.590178 | [
0.6525704067242061,
0.8240047301266709,
0.340153314919354,
-0.016197762911337572,
1.3967282714390457,
0.6285039674948997,
0.9879402835654731
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -18,
"target_ratio": 0.97,
"target_value": -17.46
} | 199 |
c29746f1f9b101fcb66cc7ae69070de4 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [32, 38], "expectation_value": -5.835447582708712, "params": [0.0385, 0.125, 0.3472, -0.0059, 0.4067, 0.0022, 0.0035, 0.1951, 0.0641, -0.15080000000000002, 0.4061, -0.0022, 0.3961, 0.003, 0.1452, 0.14850000000000002, 0.0386, 0.1072, 0.3388, -0.0078000000000000005, 0.401, 0.0019, -0.003, 0.19490000000000002, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) ... | 4 | 8 | 4 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["11011001", "01001111", "10111001"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.11994650463788148) q[0];
rz(1.9227062995176585) q[0];
rx(0.36272038391407113) q[1];
rz(1.7658316120131419) q[1];
rx(0.7094087322043948) q[2];
rz(1.5403664460569892) q[2];
rx(0.05110865268134535) q[3];
rz(1.8676036188064291) q[3];
rx(-0.07223188702253676) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIZIIIIZ",
"IIZZIIII",
"IZIIIIIZ",
"IZIZIIII",
"IIIIIZZI",
"IIIZIZII",
"IIIIZIZI",
"IIZIZIII",
"IZIIZIII",
"ZIIIIIZI",
"ZZIIIIII",
"ZIIIIZII",
"ZIIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIZII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-2,
-1,
-1.5,
-1,
-1.5,
-1.5
] | 0.971707 | [
-0.1199465046378815,
0.3519099727227622,
0.3627203839140711,
0.1950352852182451,
0.7094087322043948,
-0.03042988073790695,
0.051108652681345346,
0.2968072920115329,
-0.07223188702253677,
-0.05797908952563663,
0.4323875817109186,
-0.20442010744237607,
0.8520689333837869,
0.1097150260849551,... | {
"n_parameters": 88,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 8 |
182a069273641020dc26595ce4905930 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 1, "target": 3}, ... | {"states": [14, 76], "expectation_value": -3.99623714706493, "params": null, "bitstrings": ["1110001", "0110011"], "total_optimization_steps": 26, "probabilities": [0.06706855356024753, 0.9294631320333304], "optimization_time": 24.795299530029297} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + -0.5 * Z(5) + -1.5 * Z(6) + -1.0 * Z(1) + -0.5 * Z(4) + 0.0 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1100011", "0110011", "1110100", "1110001"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.007242464658648869) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.007242464658648869) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.007242464658648869) q[5];
cx q[0], q[5];
rz(-1.7587402785726103) q[5];
rx(1.1264... | 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[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IZIIZII",
"IZIIIIZ",
"ZIIIZII",
"ZIIIIIZ",
"ZIIIIZI",
"ZIZIIII",
"IIZIIZI",
"IIIZIZI",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIZIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-1.5,
-1,
-0.5,
0
] | 0.985084 | [
0.007242464658648869,
1.3643866291606521,
-1.75874027857261,
1.096394357304044,
-1.1287208486217732,
1.1264238424888084,
0.06931218740095733,
0.1199140580104439,
0.42838401811679144,
0.7057919332882043,
0.4479540603774709
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 31 |
b7426bf0796d94563acebb66a8ec7bbd | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 0, "target":... | {"states": [386, 450], "expectation_value": -7.578450851269049, "params": [-0.004200000000000001, -0.004200000000000001, 1.2079, 1.2001000000000002, 1.1885000000000001, 1.1892, 0.7528, 0.7328, -0.033600000000000005, 0.032100000000000004, 0.011000000000000001, -0.007500000000000001, 0.18680000000000002, 0.188, 0.0539, -... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -7.5, "smallest_bitstrings": ["0111010101", "1000111101", "1000111011"], "largest_eigenvalue": 23.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.06586107310797705) q[0];
rz(pi/2) q[0];
ry(1.6298606528873778) q[1];
ry(1.6906382088174416) q[2];
ry(1.3255820279988986) q[3];
ry(0.11841679826167349) q[4];
ry(-0.19398584323356405) q[5];
ry(-0.01858427626384143) q[6];
ry(0.11459830565483448) q[7];
ry(1.3941516737... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IIIIIIZIIZ",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIZIII",
"IIZIIIIIIZ",
"IIZIZIIIII",
"ZIIIIIIIIZ",
"ZIIIIIZIII",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIIZZIIII",
"ZIIIIIIZII",
"IIIIIZIZII",
"IIIZIIZIII",
"IIZZIIIIII",
"IIIZIIIZII",
"IZZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-2,
-2,
-2,
-1.5,
-1.5,
-1.5,
-1,
-1,
-0.5
] | 0.971624 | [
0.06586107310797705,
1.6298606528873778,
1.6906382088174416,
1.3255820279988986,
0.11841679826167349,
-0.19398584323356405,
-0.01858427626384143,
0.11459830565483448,
1.3941516737214976,
0.13038882720783576,
-0.8600664735660073,
-0.17507373138419036,
-0.6025346857342949,
-1.297165415032921... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 22 |
df62b430c122c4297c9377287854fb07 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [13, 15], "expectation_value": -0.051703475147088146, "params": [[0.0727], [-0.0722]], "bitstrings": ["10010", "10000"], "total_optimization_steps": 10, "probabilities": [0.033230859487637335, 0.03387174331793464], "optimization_time": 1.0888655185699463} | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(1) + 0.0 * Z(4) + 0.5 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.25, -2.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.25, "smallest_bitstrings": ["10000", "10010"], "largest_eigenvalue": 1.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.4192363165159487) q[0];
h q[1];
ry(0.8083877277033201) q[1];
h q[2];
ry(1.5715365335575289) q[2];
cx q[2], q[1];
ry(-0.8083877277033201) q[1];
cx q[2], q[1];
ry(0.0015275764421637146) q[2];
h q[3];
h q[4];
cx q[4], q[0];
ry(0.4192363165159487) q[0];
cx q[4... | 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(x1) q[1];
cx q[3], q[1];
cx q[3], q[4];... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IZIIZ",
"IZIZI",
"ZZIII",
"ZIIIZ",
"ZIIZI",
"IIZZI",
"IZIII",
"IIIIZ",
"IIIZI",
"ZIIII",
"IIZII"
] | [
-0.25,
-0.5,
-0.25,
0.5,
-0.25,
-0.5,
-0.5,
-0.25,
0.25,
0,
0.5
] | 0.976145 | [
1.5715365335575289,
1.6167754554066402,
-0.8384726330318975,
1.0454948872417675,
-1.0162029767581646,
0.5475724000797026,
-0.2924915317005682,
0.003055152884327429,
0.13920020947575934,
0.14473740227131043,
-0.1293458458327996,
-0.034238716862651924
] | {
"n_parameters": 12,
"n_qubits": 5,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 8 |
2c0078c24e2f048bb94fb38dca61054c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [581, 613], "expectation_value": -2.7359726836187463, "params": [[[2.9054, 0.006900000000000001], [-0.0024000000000000002, 0.0078000000000000005], [-0.0024000000000000002, 0.0039000000000000003], [2.8957, 0.0097], [1.6304, 0.0098], [-0.0032, 0.0083], [0.8429000000000001, 0.0083], [2.7931, 0.00870000000000000... | 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(0)) + 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + -0.125 * (Z(3) @ Z(0) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(3) @ Z(0) @ Z(1)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(5... | 1 | 10 | 1 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.625, "smallest_bitstrings": ["0110100110", "0110100101", "1110010010", "0110101001", "0110010110", "1110100001", "0110011010", "0110011001", "011110... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(3.0302805539608237) q[0];
rz(0.17795160481885836) q[0];
rx(0.10845875956719045) q[1];
rz(0.32161355447207446) q[1];
rx(0.10845875956719045) q[2];
rz(0.2483148311316333) q[2];
rx(3.208479275413858) q[3];
rz(-0.21409979635349688) q[3];
rx(2.9216287708553605) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZIZ",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIIZZZI",
"IIIIIIZZZZ",
"IIIIZZIIII",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IIZZIIIIIZ",
"IIIZIZIIII",
"IZIIIZIIII",
"IZIZIIIIII",
"IZIZIZIIII"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
-0.625,
0.125,
-0.625,
-0.25,
-0.25,
0,
0,
0,
0
] | 0.975719 | [
3.0302805539608237,
0.17795160481885836,
0.10845875956719045,
0.32161355447207446,
0.2483148311316333,
3.208479275413858,
-0.21409979635349688,
2.9216287708553605,
0.4647499902550051,
0.13396104941424858,
-0.560080176452948,
-0.32119542254404,
3.340236709948118,
0.24041714581164214,
0.20... | {
"n_parameters": 18,
"n_qubits": 10,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 14 |
9b6c90aee56ab84919f7c826e678a024 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]} | {"states": [11, 3], "expectation_value": -3.817218409862548, "params": [[[0.30210000000000004, -0.29400000000000004], [0.7606, -0.051800000000000006], [0.2697, 0.3118], [0.8175, 0.0099], [0.8975000000000001, -0.001]], [[0.3038, 0.001], [0.7689, 0.006500000000000001], [0.26990000000000003, 0.0036000000000000003], [0.821... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -2.75 * Z(0) + -3.0 * 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", "10110"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.715232848262334) q[0];
h q[1];
ry(-0.030328296195851544) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.715232848262334) q[3];
cx q[1], q[3];
ry(0.715232848262334) q[3];
cx q[1], q[3];
ry(0.8365951312196482) q[1];
ry(-0.137398110733318) q[3];
h q[4];
cx q[4], q[0];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
1.75,
2,
2,
1.75,
2,
-2.5,
-2.75,
-3,
-2.5,
-2.25
] | 0.971164 | [
-1.5328804564516896,
-1.430465696524668,
1.0834096726626357,
0.8365951312196482,
-0.5509012021507701,
-0.274796221466636,
0.5569995611029345,
-0.19436412134691167,
0.4190248734622253,
-0.1534221934072706,
-0.34688012124946255,
0.35811511996319667,
0.3114564153778113,
-0.27922289113440785,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 4 |
-2865884077564365777 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3, 6], [2, 6, 7], [1, 4, 6], [0, 6], [1, 6, 7], [0, 4, 5], [3, 5, 6], [4, 7], [3, 4, 6], [0, 2, 4], [0, 2, 7]]} | {"states": [110, 46], "expectation_value": -0.10540154017207184, "params": [[0.06330000000000001], [-0.0659]], "bitstrings": ["10010001", "11010001"], "total_optimization_steps": 10, "probabilities": [0.004250447478633243, 0.00429321562356937], "optimization_time": 0.7985150814056396} | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(6)) + 0.3333333333333333 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.3333333333333326, -3.3333333333333326], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0000000000000004, "smallest_bitstrings": ["10010001", "11010001"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.6095125923933774) q[0];
h q[1];
h q[2];
ry(1.2374176576840432) q[2];
cx q[2], q[0];
ry(0.6095125923933774) q[0];
cx q[2], q[0];
ry(0.1549833901310509) q[2];
ry(-0.1537839966332405) q[0];
h q[3];
ry(-0.618375146374572) q[3];
h q[4];
ry(1.3434727641238948) 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;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[6];
rz(x1) q[6];
cx q[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZII",
"IZIIZIII",
"IZIIIZII",
"ZIIIIZII",
"ZZIIIIII",
"IZIIIIZI",
"ZIIIIIZI",
"IIIZZIII",
"IIIZIZII",
"IZIZIIII",
"ZIIZIIII",
"IIIZIIZI",
"IIIIIZIZ",
"IZIIIIIZ",
"ZIIIIIIZ",
"IIIZIIIZ",
"IIZIZIII",
"IZZIIIII",
"IIZZIIII",
"IIZIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IZIIIII... | [
0.16666666666666666,
0.5,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.3333333333333333,
0.1... | 0.98664 | [
1.544156564230631,
1.2374176576840432,
-1.2190251847867548,
1.3434727641238948,
-1.5344848799634732,
-1.236750292749144,
1.244413783017837,
0.3099667802621018,
-0.307567993266481,
-0.3612090364649996,
0.16716558829186265,
0.16457558706834444,
0.014688086113749138,
-0.12360214156695386,
0... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -3.3333333333333326,
"target_ratio": 0.97,
"target_value": -3.2333333333333325
} | 1 |
c5d64ed1606b01b0449fbdbfaa48958e | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [50, 69], "expectation_value": -0.15609592165815883, "params": [[-0.0575], [0.059000000000000004]], "bitstrings": ["1001101", "0111010"], "total_optimization_steps": 10, "probabilities": [0.008622074683730175, 0.008731926793249092], "optimization_time": 1.5109460353851318} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + -0.5 * Z(2) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(3) + -1.0 * Z(1) + -1.5 * Z(4) + -1.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100101", "1001101", "0111010"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.1549721848291327) q[0];
rz(-pi) q[0];
h q[1];
h q[2];
ry(1.492760804569908) q[2];
h q[3];
ry(-0.44016084752831497) q[3];
cx q[1], q[3];
ry(0.44016084752831497) q[3];
cx q[1], q[3];
ry(0.8936963047981609) q[1];
ry(-0.5255148306806048) q[3];
h q[4];
ry(-1.5627506543... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IZIIIIZ",
"IIIZIZI",
"IIZIZII",
"IZZIIII",
"IIZZIII",
"IIZIIZI",
"ZZIIIII",
"ZIIZIII",
"ZIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1,
-1,
-1,
-1.5,
-1
] | 0.995333 | [
-1.5627506543770027,
-1.6426853524511658,
-1.259998280348624,
1.492760804569908,
-0.8803216950566299,
0.5985232422840356,
-0.31165172323427953,
-0.3767145391135873,
0.5903461250282505,
-0.29760058313403503,
0.20451498588347222,
-0.30673651465012075,
-0.02234127085458512,
0.0993486788775276... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
267f594e5cb21532a1a860c7d4e0717d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}], "edges": [{"weight": 8, "source": 0, "target": 3}, {"weight": 15, ... | {"states": [126, 118], "expectation_value": -58.05175423492696, "params": [0.7464000000000001, 0.45320000000000005, 1.5854000000000001, 0.0028, 1.5806, 0.0024000000000000002, 1.5847, -0.1221, 0.7741, -0.38380000000000003, 1.5868, -0.0044, 1.5872000000000002, -0.2586, 0.4944, -0.5212, 0.745, 0.007, 1.5857, 0.0027, 1.584... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 21.5 * Z(1) ... | 18 | 8 | 2 | {"smallest_eigenvalues": [-67.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 151.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.24748745819808826) q[0];
rz(-0.17713756506993983) q[0];
rx(-0.1790047299186118) q[1];
rz(0.10654864048877083) q[1];
cx q[1], q[0];
rz(0.011708463917440626) q[0];
cx q[1], q[0];
rz(1.4748675647452902) q[0];
ry(1.210001108655402) q[0];
rz(-1.8286665049021005) q[0];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIIIZI",
"IZIZIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
21.5,
8,
20.5,
11.5,
8.5,
10,
9.5,
5.5
] | 0.970926 | [
0.2474874581980883,
-0.1654291011524992,
-0.1790047299186118,
0.10654864048877083,
0.6162612157337666,
0.002052278197618773,
-0.04559442540123893,
0.3771343868759495,
0.43625683568421697,
0.17681883646965665,
0.0163352835731005,
-0.04645655951074808,
-0.033049571212274566,
0.22684970955432... | {
"n_parameters": 138,
"n_qubits": 8,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 9 |
30889689ce1c686cb3fcc572d2854875 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [0, 94], "expectation_value": -2.843420342407517, "params": [0.2982, -0.0012000000000000001, 0.2918, -0.0034000000000000002, 0.3042, -0.0014, 0.308, -0.0011, 0.22160000000000002, 0.0008, 0.17470000000000002, 0.0039000000000000003, 0.30560000000000004, -0.0009000000000000001, 0.3093, -0.001, 0.2998, -0.002, 0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + -1.5 * Z(2) + -1.5 * Z(0) + -1.0 * Z(4) + 0.0 * Z(5) + -1.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(6) | 6 | 8 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["10100001"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.18471583326213806) q[0];
rz(1.459287694731504) q[0];
rx(0.5287696191491773) q[1];
rz(2.0194552980741527) q[1];
rx(-0.04270694493532613) q[2];
rz(1.5842327186710605) q[2];
rx(0.7692856177590904) q[3];
rz(1.8653204167668473) q[3];
rx(1.0342645861195194) q[4];
rz(1.4... | 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": []} | [
"IIIIIZIZ",
"IIIZIZII",
"IIIZIIIZ",
"IIZIIIIZ",
"ZIIIIIIZ",
"ZIIZIIII",
"ZIIIIIZI",
"IIIIZZII",
"IZIIIZII",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIZIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1,
0,
-1,
0,
0,
0
] | 0.977532 | [
-0.18471583326213803,
-0.11150863206339147,
0.5287696191491773,
0.44865897127925575,
-0.04270694493532614,
0.013436391876164862,
0.7692856177590903,
0.2945240899719505,
1.0342645861195194,
-0.1644513480671006,
1.2742870915887434,
-0.1629493877233817,
0.43496793111549076,
0.5675095092979402... | {
"n_parameters": 73,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 136 |
0ae9b6f2b61290137ab22e2dafb0c164 | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 23, "source": 0, "target": 4}, {"weight": 2, "source": 1, "target": 2}, {"weight": 21, "source": 1, "target": 3}, {"weight": 5, "source": ... | {"states": [238, 413], "expectation_value": -1.302118263586896, "params": [[-0.0609, -0.038200000000000005, -0.0745], [0.0736, 0.053200000000000004, 0.06720000000000001]], "bitstrings": ["100010001", "001100010"], "total_optimization_steps": 10, "probabilities": [0.0038751793947515156, 0.003875179394751517], "optimizat... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 5 | 9 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001010100", "001100010", "010001100", "010100001", "100010001", "100001010"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-2.877107649955667) q[0];
rz(-pi) q[0];
ry(-0.05357145502017478) q[1];
rz(-pi) q[1];
h q[2];
ry(1.2987883161683555) q[2];
ry(-0.03652883594563631) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.008100928029173525) q[3];
cx q[2], q[3];
ry(-0.03652883594563631) q[4];
rz(-pi) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1],... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.99193 | [
-1.547794302812402,
-1.5261665628200867,
1.2987883161683555,
-0.01620185605834705,
0.015046013984830048,
0.20950853127499908,
0.061138862075359936
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
74c477dbe35486055f0a39f50499e44b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [886, 374], "expectation_value": -2.7073428514587983, "params": [[[1.1686, -0.004, 0.007200000000000001, 0.0051], [1.336, 0.0016, 1.3915, 0.0085], [-0.0019, 0.7778, 0.1257, 0.01], [-0.0114, 0.6848000000000001, -0.0046, 0.004], [1.5788, 0.0019, 1.5779, 0.009600000000000001], [1.5787, 0.0044, 1.5823, 0.0041], ... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 11 | 10 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.25, "smallest_bitstrings": ["0010110001", "0001011010", "0001100110", "1001001010", "0010011001", "1010001001", "1000001011", "0011100100", "000... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.568945961229374) q[0];
h q[1];
h q[2];
ry(-0.5024873650502395) q[2];
cx q[1], q[2];
ry(0.5024873650502395) q[2];
cx q[1], q[2];
ry(0.8057412380043845) q[1];
ry(-0.6760381192098136) q[2];
ry(-0.0029617717683342185) q[3];
rz(-pi) q[3];
rz(-pi) q[4];
ry(-0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIIZZIZ",
"IIIIIIZZZI",
"IIIIIIZZZZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIIZZIIIZ",
"IIIZIZIIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IIZZZIIIII"... | [
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,
0.25,
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,
0.25,
-0.125... | 0.996487 | [
-1.568945961229374,
-1.559719298141302,
-1.5352660551683317,
1.4579616084211091,
-1.004974730100479,
0.6444560256809038,
-0.48152347261538897,
0.3225704246469614,
-0.3890292931888493,
0.4142452803912122,
-0.07952619820417396,
-0.06513699971646146,
0.28140873634541574,
0.05302805438889746,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
c12dc8bfc0d8e8bc2e65cda825a741ab | min_cut | adaptive_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": [4, 1], "expectation_value": -1.686402215115311, "params": null, "bitstrings": ["011", "110"], "total_optimization_steps": 8, "probabilities": [0.13254251138207834, 0.8435861677590577], "optimization_time": 2.2507054805755615} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + 0.75 * (Z(2) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) | 1 | 3 | 2 | {"smallest_eigenvalues": [-2.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0, "smallest_bitstrings": ["110"], "largest_eigenvalue": 2.0} | 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... | null | {"source": 0, "sink": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\ncry(-1.4449) q[2], 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];\ncry(-1.4449) q[2], q[0]... | [
"IZZ",
"ZZI",
"ZIZ",
"IZI",
"IIZ",
"ZII"
] | [
-0.5,
-0.25,
0.75,
-0.25,
-0.25,
0.5
] | 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 |
1466825564513291760 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 4, 5, 6, 8], [1, 3, 4, 7, 8], [0, 1, 5], [1, 5, 6], [0, 1, 3, 7, 8, 9], [8, 2, 5, 7], [8, 2, 3, 4], [0, 2, 4, 5, 7, 9], [0, 9, 6], [0, 2, 4, 6, 7, 8], [1, 2, 7, 8, 9], [2, 4, 5, 6, 8, 9], [2, 3, 4, 6, 9], [2, 3, 4, 5, 6, 7], [9, 2, 6, 1], [3, 4, 5, 7, 8, 9], ... | {"states": [814, 942], "expectation_value": -3.3556261919634984, "params": [1.5774000000000001, 1.5608, 1.5966, 1.5528000000000002, 0.8644000000000001, 0.8580000000000001, 0.1799, 0.1777, 1.605, 1.5423, 0.17350000000000002, 0.16670000000000001, 1.5624, 1.5832000000000002, 1.5670000000000002, 1.5708, 1.5702, 1.575200000... | 0.11666666666666667 * (Z(0) @ Z(4)) + 0.21666666666666665 * (Z(5) @ Z(4)) + 0.25 * (Z(5) @ Z(0)) + 0.23333333333333334 * (Z(6) @ Z(4)) + 0.25 * (Z(6) @ Z(0)) + 0.31666666666666665 * (Z(6) @ Z(5)) + 0.31666666666666665 * (Z(8) @ Z(4)) + 0.11666666666666667 * (Z(8) @ Z(0)) + 0.2333333333333333 * (Z(8) @ Z(5)) + 0.15 * (Z... | 13 | 10 | 1 | {"smallest_eigenvalues": [-3.6499999999999995], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5999999999999996, "smallest_bitstrings": ["0001010001"], "largest_eigenvalue": 16.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.7370663841138005) q[0];
rz(-0.4599025475188847) q[0];
ry(1.8165165780101848) q[1];
ry(1.3563636994644854) q[2];
ry(0.1043256171968819) q[3];
ry(1.3969368934193196) q[4];
ry(0.04308431520095041) q[5];
ry(1.4817994255707758) q[6];
ry(1.7210267329961846) q[7];
ry(1.4... | 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": []} | [
"IIIIIZIIIZ",
"IIIIZZIIII",
"IIIIZIIIIZ",
"IIIZIZIIII",
"IIIZIIIIIZ",
"IIIZZIIIII",
"IZIIIZIIII",
"IZIIIIIIIZ",
"IZIIZIIIII",
"IZIZIIIIII",
"IIIIIZIIZI",
"IIIIIIIIZZ",
"IIIIZIIIZI",
"IIIZIIIIZI",
"IZIIIIIIZI",
"IIIIIZZIII",
"IIIIIIZIIZ",
"IIIIZIZIII",
"IIIZIIZIII",
"IZIIIIZIII"... | [
0.11666666666666667,
0.21666666666666665,
0.25,
0.23333333333333334,
0.25,
0.31666666666666665,
0.31666666666666665,
0.11666666666666667,
0.2333333333333333,
0.15,
0.05,
0.19999999999999998,
0.3333333333333333,
0.25,
0.13333333333333336,
0.2833333333333333,
0.03333333333333333,
0.1... | 0.975871 | [
1.7370663841138005,
1.8165165780101848,
1.3563636994644854,
0.1043256171968819,
1.3969368934193196,
0.04308431520095041,
1.4817994255707758,
1.7210267329961846,
1.4977646415589168,
0.02801362762432013,
-0.9198050950377694,
0.09975263888959832,
-0.16661234696882132,
0.12543742444356243,
1... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -3.6499999999999995,
"target_ratio": 0.97,
"target_value": -3.5404999999999993
} | 7 |
20d26dc41a8e85134d92019f0849fe23 | 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}], "edges": [{"... | {"states": [142, 138], "expectation_value": -32.074640387828005, "params": [[[0.6026, 0.006], [2.5009, 0.00030000000000000003], [0.6412, 0.007], [1.0765, 0.0005], [-0.0201, 0.004], [2.5067, 0.0044], [1.4836, 0.0028], [2.5008, 0.0083], [-0.0026000000000000003, 0.0024000000000000002]]], "bitstrings": ["101110001", "10111... | 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(5) @ Z(6)) + 5.0 * (Z(5) @ Z(7)) + 5.0 * (Z(3) @ Z(5)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(3)) + -0.5 * Z(2) + 2.0 * Z(1) + -0.5 * ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-48.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -47.0, "smallest_bitstrings": ["101110101"], "largest_eigenvalue": 74.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-1.62851166616495e-08) q[1];
cx q[2], q[1];
cx q[2], q[0];
rz(-1.62851166616495e-08) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(-1.62851166616495e-08) q[0];
cx q[1], q[0];
rz(-1.5707963016905468) q[0];
rx(-1.5707963256576183) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIZIIZI",
"IIZIIIIZI",
"IIZIZIIII",
"IZIIIIZII",
"IZZIIIIII",
"IIZZIIIII",
"IZIZIIIII",
"IIIZIZIII",
"ZIIZIIIII",
"ZIIIIZIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"IIIZIIIII",
"IIIIIZIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
-0.5,
2,
-0.5,
-3.5,
1.5,
4.5,
0.5,
-4,
-9
] | 0.885057 | [
-1.62851166616495e-8,
1.5707963888242653,
1.5707963483038274,
-1.570796301690547,
-1.5707962396308484,
1.5707963583302322,
-1.5707963632617372,
1.5707963297174667,
1.5707963058963341,
-1.570796037244863,
-1.570796325657618
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -87,
"target_ratio": 0.97,
"target_value": -84.39
} | 293 |
4320419010919023700 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 2, 4, 7], [9, 10, 5], [3, 4, 6, 7], [9, 3, 4, 1], [8, 4, 7], [2, 6, 8, 9, 10], [8, 2, 3, 5], [0, 3, 6], [0, 9, 10], [1, 2, 3, 6, 7], [0, 1, 2, 3, 7], [1, 10], [9, 3, 1, 6], [8, 2, 5, 6], [10, 3, 4], [8, 1, 3, 4], [0, 8, 9], [10, 5, 7], [0, 3, 4, 7], [9, 2... | {"states": [1661, 1725], "expectation_value": -5.500849444107978, "params": [1.9436, 1.2211, 1.1072, 1.1776, -0.007200000000000001, -0.0022, 0.5878, 1.155, 1.9799, 1.1831, 1.56, 1.6391, 1.5816000000000001, 1.5073, 1.5141, 1.6032000000000002, 1.3145, 1.8105, 1.5278, 1.5395, 1.5562, 1.5365, 0.5551, 1.4285, 0.5154, 0.2169... | 0.13333333333333333 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.35 * (Z(8) @ Z(3)) + 0.3833333333333333 * (Z(8) @ Z(0)) + 0.41666666666666663 * (Z(8) @ Z(5)) + 0.3833333333333333 * (Z(10) @ Z(3)) + 0.3333333333333333 * (Z(10) @ Z(0)) + 0.08333333333333333 * (Z(10) @ Z(... | 14 | 11 | 1 | {"smallest_eigenvalues": [-6.266666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.983333333333331, "smallest_bitstrings": ["00101000010"], "largest_eigenvalue": 26.499999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.7018710058289452) q[0];
rz(pi/2) q[0];
ry(1.3746351954263183) q[1];
ry(-0.04446804151055449) q[2];
ry(1.601235557695698) q[3];
ry(2.248465288745544) q[4];
ry(1.4484721038167208) q[5];
ry(1.3643080799086145) q[6];
ry(1.571531174128906) q[7];
ry(1.0503071783644757) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIIIZIIZ",
"IIIIIZIZIII",
"IIIIIZIIIIZ",
"IIZIIIIZIII",
"IIZIIIIIIIZ",
"IIZIIZIIIII",
"ZIIIIIIZIII",
"ZIIIIIIIIIZ",
"ZIIIIZIIIII",
"ZIZIIIIIIII",
"IIIIIIIZZII",
"IIIIIIIIZIZ",
"IIIIIZIIZII",
"IIZIIIIIZII",
"ZIIIIIIIZII",
"IIIIZIIZIII",
"IIZIZIIIIII",
"ZIIIZIIIIII",
"IIIIZIIIZ... | [
0.13333333333333333,
0.08333333333333333,
0.3333333333333333,
0.35,
0.3833333333333333,
0.41666666666666663,
0.3833333333333333,
0.3333333333333333,
0.08333333333333333,
0.3333333333333333,
0.1,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3833333333333333,
0.25,
... | 0.982005 | [
1.7018710058289452,
1.3746351954263183,
-0.04446804151055449,
1.601235557695698,
2.248465288745544,
1.4484721038167208,
1.3643080799086145,
1.571531174128906,
1.0503071783644757,
1.38000719775059,
1.349837690335533,
0.41367178487832673,
0.2709612445631528,
1.2264787940590893,
0.346776664... | {
"n_parameters": 44,
"n_qubits": 11,
"optimal_eigenvalue": -6.266666666666666,
"target_ratio": 0.97,
"target_value": -6.078666666666666
} | 18 |
eaddd19092fd8834c53bcb542c5e4759 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2},... | {"states": [2033, 2047], "expectation_value": -25.397294624238896, "params": [[[-0.0026000000000000003, 1.6979000000000002], [0.0033, -0.0028], [0.0017000000000000001, 0.0023], [0.0021000000000000003, 0.0019], [-0.0021000000000000003, 0.0019], [-0.0023, -0.0022], [-0.002, -0.0032], [-0.0029000000000000002, 1.4791], [-0... | -2.5 * (Z(0) @ Z(4)) + -2.5 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(0)) + -2.5 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(0)) + -2.5 * (Z(6) @ Z(5)) + -2.5 * (Z(1) @ Z(4)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(5)) + 1.0 * (Z(1) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + -2.0 * (Z(3) @ Z(10)) +... | 15 | 11 | 1 | {"smallest_eigenvalues": [-29.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.03305546161612367) q[0];
ry(-0.020486604496068928) q[1];
ry(-0.017865367279700187) q[2];
ry(-0.41917321385468886) q[3];
ry(-0.019311029798030142) q[4];
ry(0.20757422770588013) q[5];
ry(-0.04299604260765977) q[6];
ry(0.20628160693282746) q[7];
ry(-0.07289883591771... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIIIZIIIIZ",
"IIIIZIZIIII",
"IIIIZIIIIIZ",
"IIIIZZIIIII",
"IIIIIIZIIZI",
"IIIIIIIIIZZ",
"IIIIIZIIIZI",
"IIIIZIIIIZI",
"IIZZIIIIIII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"ZIIIIIIZIII",
"ZIIIIIIIZII",
"IIIIIIIZZII",
"IIIIIIZIIII",
"IIIIIIIIIIZ",
"IIIIIZIII... | [
-2.5,
-2.5,
-2.5,
-2.5,
-2,
-2.5,
-2.5,
1,
-2.5,
1,
-1.5,
-1.5,
-1.5,
-2,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5
] | 0.974213 | [
-0.03305546161612367,
-0.020486604496068928,
-0.017865367279700187,
-0.41917321385468886,
-0.019311029798030142,
0.20757422770588013,
-0.04299604260765977,
0.20628160693282746,
-0.07289883591771497,
-0.06849379944328175,
3.175147989241674,
0.1407838493247545,
-0.033090897252685145,
0.06684... | {
"n_parameters": 18,
"n_qubits": 11,
"optimal_eigenvalue": -29.5,
"target_ratio": 0.97,
"target_value": -28.615
} | 34 |
a38675d53d722227ef740a74a5426a27 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [166, 174], "expectation_value": -1.916121749034628, "params": [0.0666, 0.005, 2.0987, 0.0039000000000000003, -0.0023, 0.0058000000000000005, 2.1029, 0.0099, 1.0935000000000001, 0.0094, 1.6342, 0.0056, 2.0991, 0.001, 2.1083000000000003, 0.0073, 1.0856000000000001, 0.009600000000000001, 0.0074, 0.002400000000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(7) @ Z(2)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(7) @ Z(6)) + -0.125 * (Z(3) @ Z(6) @ Z(2)) + ... | 16 | 9 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.375, "smallest_bitstrings": ["111010000", "101010001", "101001001", "101100001", "101011000", "101001010", "011010100"], "largest_eigenvalue": 6.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.5141994421129809) q[0];
h q[1];
ry(1.390141942064535) q[1];
h q[2];
ry(-0.5141994421129809) q[2];
h q[3];
cx q[3], q[0];
ry(0.5141994421129809) q[0];
cx q[3], q[0];
ry(-0.6573848412878611) q[0];
ry(1.0688525533137359) q[3];
h q[4];
ry(-1.560193965859156) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIIZZZIII",
"IIZIIIIIZ",
"IIIIIZZII",
"IIZIIIZII",
"IZIIIIZII",
"IIZIIZIII",
"IZIIIZIII",
"IZZIIIIII",
"IIZIIZZII",
"IZIIIZZII",
"IZZIIIZII",
"IZZIIZIII",
"IZZIIZZII",
"IZIIZIIII",
"ZIIIZIIII",
"ZZIIIIIII",
"ZZIIZIIII",
"... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.5,
-0.25,
-0.625,
0.125,
0,
0,
-0.125,
0.125,
0
] | 0.99545 | [
-1.560193965859156,
-1.6256424106349383,
1.390141942064535,
-1.0283988842259617,
0.8351950134156189,
-0.46570245239628766,
0.4673150797962339,
-0.3833647777831469,
0.17942834723555207,
0.2603514411697678,
-0.015966545811498617,
-0.09901389533504207,
0.1486764616653704,
-0.04676080723319257... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
44dacfe202593d38d27b1900f1e3c9cb | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [44, 112], "expectation_value": -0.5998049458586734, "params": [[0.065, 0.0639], [-0.0553, -0.0511]], "bitstrings": ["1010011", "0001111"], "total_optimization_steps": 10, "probabilities": [0.010054245143567203, 0.01005735234453491], "optimization_time": 3.372709035873413} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * Z(4) + -1.0 * Z(0) + -2.0 * Z(5) + -1.5 * Z(6) + 0.0 * Z(1) + -1.0 * Z(... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1010011", "0010111", "0001111"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.498214373555806) q[0];
h q[1];
ry(1.5729680172307) q[1];
h q[2];
ry(-0.5206531089606106) q[2];
h q[3];
cx q[3], q[2];
ry(0.5206531089606106) q[2];
cx q[3], q[2];
ry(-0.7572028223353544) q[2];
ry(0.9590918998445399) q[3];
cx q[1], q[3];
ry(-0.201581106472779... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IZZIIII",
"IZIIIIZ",
"ZIZIIII",
"ZIIIIIZ",
"ZZIIIII",
"ZIIIIZI",
"IIZIZII",
"IZIIZII",
"IZIZIII",
"IIIZZII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-2,
-1.5,
0,
-1,
-0.5
] | 0.998543 | [
-1.5344843944901116,
-1.5502120455956891,
-1.4138900630759628,
1.5729680172307,
1.498214373555806,
-1.0413062179212211,
0.7575107933717606,
-0.5341146279279245,
0.40316221294555876,
-0.44617638881486005,
0.3195043901026477,
-0.08398047723390256,
0.00900809255209721,
0.09919787981410061,
... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
06ec716f7c6c63b1aba8eac15fa44d26 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 3... | {"states": [35, 63], "expectation_value": -5.930347342878272, "params": null, "bitstrings": ["1011100", "1000000"], "total_optimization_steps": 59, "probabilities": [0.09612087712553179, 0.6851845797893719], "optimization_time": 62.47525668144226} | -0.25 * (Z(0) @ Z(5)) + -1.5 * (Z(1) @ Z(5)) + -0.75 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(3)) + 1.0 * Z(5) + -0.25 * Z(0) + -0.5 * Z(1) + 0.5 * Z(2) + -1.0 *... | 1 | 7 | 4 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 7.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(0.14662944682209153) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(0.03207041332105976) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(-0.004657991275908549) q[2];
cx q[5], q[2];
cx q[1], q[2];
rz(0.14662944682209153) q... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.5706) q[1], 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]... | [
"IZIIIIZ",
"IZIIIZI",
"IZIIZII",
"IIIIZZI",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IIZZIII",
"ZZIIIII",
"ZIIIIIZ",
"ZIIZIII",
"IZIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII"
] | [
-0.25,
-1.5,
-0.75,
-0.25,
-0.75,
-0.25,
-1.25,
-0.75,
-0.5,
0.5,
-0.5,
1,
-0.25,
-0.5,
0.5,
-1,
0.75,
-0.5
] | 0.946282 | [
0.14662944682209153,
0.03207041332105976,
-0.004657991275908549,
-0.06255413879699266,
-0.11688910112479409,
-1.1040750932319774,
-1.0882832930196775,
-1.1385645611061024,
-1.0610330425854635,
1.4322711339057295,
0.5063761691342662,
0.28481786844050344,
0.26423677171838056,
-0.262978351077... | {
"n_parameters": 40,
"n_qubits": 7,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 500 |
410a620476bb1ab89428221268021245 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [12, 72], "expectation_value": -6.411631293735966, "params": null, "bitstrings": ["1110011", "0110111"], "total_optimization_steps": 20, "probabilities": [0.0601264549783317, 0.788819012488134], "optimization_time": 23.157307863235474} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.5, "smallest_bitstrings": ["1101011", "0101111", "1110101", "1110011", "0110111"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-1.525316287080557) q[1];
h q[2];
ry(-0.4635246956282743) q[2];
h q[3];
cx q[3], q[2];
ry(0.4635246956282743) q[2];
cx q[3], q[2];
ry(-0.7097453387884464) q[2];
ry(0.7841495963456939) q[3];
h q[4];
ry(-0.4635246956282743) q[4];
cx q[0], q[4];
ry(0.463... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIZIIZI",
"IIZIIIZ",
"IZIIIZI",
"IZIIIIZ",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"ZZIIIII",
"IIIIZZI",
"IZIIZII",
"ZIIIZII",
"IIIZIZI",
"ZIIZIII",
"IIIZZII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-1.5,
-1.5,
-2,
-2.5,
-1.5,
-1
] | 0.990361 | [
-1.525316287080557,
-1.6516093367694655,
-0.9270493912565486,
0.7841495963456939,
-0.551144413376185,
0.530091856908911,
0.5655279925104985,
-0.31720185082452274,
-0.42736748625662185,
0.05151037849362506,
-0.0336782670524875,
0.0448106142806983,
-0.017479746617684006
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 1 |
24ec85ceb3f94374e977a871ddcf35bc | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [35, 37], "expectation_value": -3.4965156417764884, "params": null, "bitstrings": ["011100", "011010"], "total_optimization_steps": 22, "probabilities": [0.06700895329534473, 0.9297461640990027], "optimization_time": 15.27068018913269} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["011010", "011100", "010011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.04176737542190623) q[0];
rz(-pi) q[0];
ry(-2.945037601850049) q[1];
rz(-pi) q[1];
h q[2];
ry(1.4906421176738867) q[2];
h q[3];
h q[4];
ry(0.6746829349540775) q[4];
h q[5];
ry(-0.2974549213254869) q[5];
cx q[3], q[5];
ry(0.2974549213254869) q[5];
cx q[3], q[5];
ry(... | 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",
"IIIZZI",
"IIZIZI",
"ZIIIZI",
"ZIIZII",
"IZIZII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-0.5,
-0.5,
-0.5
] | 0.971567 | [
-1.5669187022824613,
-1.5230986125139825,
1.4906421176738867,
-0.5949098426509738,
1.0949934439908702,
1.1307724253187426,
-0.9752655168159003,
1.349365869908155,
0.5257905149682746,
0.08690217507268594,
-0.18517364442419398,
0.5584956621285644,
0.3260867579106622,
0.07577950181894219,
0... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 12 |
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": -0.39417964206120915, "params": [[-0.028800000000000003, -0.0207, -0.0534, -0.055900000000000005], [0.0297, -0.0106, 0.0475, 0.0585]], "bitstrings": ["101001", "001101"], "total_optimization_steps": 10, "probabilities": [0.02043856782366123, 0.020438567823661238], "optimization... | 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 | 4 | {"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] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | 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 |
5a1527813da7c534130c872b3bb3e98c | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, ... | {"states": [101, 109], "expectation_value": -9.835898762193327, "params": [-0.003, 0.0132, 0.0086, -0.2767, 0.7176, 0.23040000000000002, 0.8428, 0.1033, -0.5381, 0.5009, -0.5263, 0.1656, -0.003, -0.3952, -0.0012000000000000001, -0.3472, -0.2414, -1.2256, 0.2871, -0.4184, 0.4036, 0.3608, 1.0078, 0.12440000000000001, 0.0... | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + 1.25 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(3) @ Z(6)) + 0.0 * Z(4) + -0.25 * Z(0) + -2.25 * Z(6... | 5 | 8 | 4 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.29304397876910926) q[0];
cx q[4], q[0];
h q[5];
h q[6];
cx q[4], q[6];
rz(0.02674098017791228) q[6];
cx q[4], q[6];
cx q[0], q[6];
cx q[4], q[1];
rz(-0.04175429471611432) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IZIZIIII",
"IZIIIIIZ",
"IIIZIIZI",
"IZIIIIZI",
"IIIZIZII",
"IZIIIZII",
"ZIIIIIIZ",
"ZIIIIZII",
"IIZZIIII",
"IZZIIIII",
"IZIIZIII",
"IIIZIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"ZIIIIIII",
"IIZIIIII",
"IIIIZIII"
] | [
-0.25,
-0.75,
-0.75,
-0.5,
-0.5,
-1,
-0.75,
1.25,
-1.25,
-1,
-0.5,
-1,
0,
-0.25,
-2.25,
1,
1,
0,
1.5,
-1
] | 0.971046 | [
0.29304397876910926,
0.02674098017791228,
-0.04175429471611432,
0.31653577106034975,
-0.7674656124835568,
0.11950634229219104,
-0.8301752525936286,
0.7774601513321433,
-0.3757443019400376,
-0.4588934753783208,
1.4706729354158479,
0.367692223145139,
0.11452940949680336,
-0.16572355263815042... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 167 |
-4817597192022497213 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 3, 4, 5, 6], [8, 2, 7], [2, 3, 4, 6], [0, 1, 2, 5, 8], [8, 1, 3, 5], [1, 4, 7], [1, 2, 5, 6, 8], [0, 6, 7], [8, 0, 6]]} | {"states": [379, 63], "expectation_value": -1.2547095751627362, "params": [[0.3791], [-0.3763]], "bitstrings": ["010000100", "111000000"], "total_optimization_steps": 40, "probabilities": [0.006389818961977616, 0.006427960027432687], "optimization_time": 3.883086919784546} | 0.13333333333333333 * (Z(1) @ Z(3)) + 0.13333333333333333 * (Z(4) @ Z(3)) + 0.21666666666666667 * (Z(4) @ Z(1)) + 0.13333333333333333 * (Z(5) @ Z(3)) + 0.23333333333333334 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(4)) + 0.13333333333333333 * (Z(6) @ Z(3)) + 0.1 * (Z(6) @ Z(1)) + 0.13333333333333333 * (Z(6) @ Z(4)) + 0.1 * (Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.2333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.1500000000000004, "smallest_bitstrings": ["111000000"], "largest_eigenvalue": 9.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(0.007131560549351792) q[1];
cx q[3], q[1];
h q[4];
cx q[3], q[4];
rz(0.007131560549351792) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(-0.07690565476797356) q[4];
cx q[1], q[4];
h q[5];
cx q[3], q[5];
rz(0.007131560549351792)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIZIZI",
"IIIIZZIII",
"IIIIZIIZI",
"IIIZIZIII",
"IIIZIIIZI",
"IIIZZIIII",
"IIZIIZIII",
"IIZIIIIZI",
"IIZIZIIII",
"IIZZIIIII",
"ZIIIIZIII",
"ZIIIIIIZI",
"ZIIZIIIII",
"ZIZIIIIII",
"IIIIIZZII",
"IIIIIIZZI",
"IIIIZIZII",
"IIIZIIZII",
"IIZIIIZII",
"ZIIIIIZII",
"IZIIIIIZI",
"... | [
0.13333333333333333,
0.13333333333333333,
0.21666666666666667,
0.13333333333333333,
0.23333333333333334,
0.05,
0.13333333333333333,
0.1,
0.13333333333333333,
0.1,
0.08333333333333333,
0.18333333333333335,
0.18333333333333335,
0.21666666666666667,
0.08333333333333333,
0.1,
0.083333333... | 0.970303 | [
0.007131560549351792,
-0.07690565476797356,
0.48232199459348707,
0.006094892797425051,
-0.04861232902619943,
-0.008897309283321289,
0.07744982392048513,
-0.2293745082343773,
-0.010328432755791742,
0.7599434172248871,
1.3378904905235003,
-1.4775966020360591,
1.6260350172669136,
1.5580897110... | {
"n_parameters": 19,
"n_qubits": 9,
"optimal_eigenvalue": -2.2333333333333334,
"target_ratio": 0.97,
"target_value": -2.166333333333333
} | 119 |
944d1e10c1efdd3cf89f3eb5fd93918c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5}]} | {"states": [0, 3], "expectation_value": -3.625188695869988, "params": [-0.0039000000000000003, 1.1572, 0.06960000000000001, 0.0032, -0.004, 1.032, -0.0004, 1.0097, -0.0181, 0.6998000000000001, 0.0267, 0.262, 0.7404000000000001, 1.2672, -0.6942, 0.8677, 0.7329, 0.7581, -0.7060000000000001, 1.2075, 0.0151, 0.0378, 0.0225... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * Z(1) + 1.0 * Z(0) + -1.0 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) | 6 | 5 | 2 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["00100", "11100"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(-0.02677676912273383) q[0];
rz(1.7791030721526582) q[0];
rx(0.14185500204046736) q[1];
rz(2.5051147100231335) q[1];
rx(0.20184054179175628) q[2];
rz(2.4106890750013985) q[2];
rx(-0.9808682906550414) q[3];
rz(1.5743759524828) q[3];
rx(-0.35098050451486523) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"ZIIII",
"IZIII"
] | [
-1.5,
0.5,
-1,
-1.5,
1,
-1,
0.5,
0.5
] | 0.97098 | [
-0.02677676912273383,
0.20830674535776214,
0.1418550020404674,
0.9343183832282367,
0.20184054179175626,
0.8398927482065018,
-0.9808682906550414,
0.0035796256879041567,
-0.35098050451486523,
0.21567347580531265,
1.2543159242063746,
-0.07935135923841413,
0.2010068271577604,
0.293429892568229... | {
"n_parameters": 75,
"n_qubits": 5,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 10 |
9e72b7dd0d69a46b7f007aaed5517323 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 5, "target": 3}]} | {"states": [14, 7], "expectation_value": -6.838019327905491, "params": null, "bitstrings": ["110001", "111000"], "total_optimization_steps": 55, "probabilities": [0.1065316688417241, 0.6056265915786384], "optimization_time": 79.70237302780151} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 * ... | 16 | 6 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(1.5706415412178192) q[0];
ry(0.17738065745091058) q[0];
rz(-1.2289331769937306) q[0];
rz(-2.0064394391485636) q[1];
ry(0.05195164644631841) q[1];
rz(1.6158226668893017) q[1];
rz(-1.4591808629773537) q[2];
ry(0.1438680830206584) q[2];
rz(1.3823592347405116) q[2];
rz(-... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[3], 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 ... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
1.75,
2,
2,
2,
2,
2,
2,
1.75,
-0.5,
-1,
-0.5,
-0.25,
-0.5,
-0.25
] | 0.981301 | [
0.1774500647835066,
0.3748855468174612,
0.04098849267156553,
-0.24415803312160173,
-0.24801868974247307,
-0.151177436467156,
1.6175791763168208,
-0.03242731533050097,
1.9188194167141894,
0.05578166470394768,
1.8647875584561593,
-0.06973403478083848,
-0.0000745897025684443,
-0.0331747529448... | {
"n_parameters": 24,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 16 |
31686512d5b88850a9ac5a50b46aa096 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [237, 107], "expectation_value": -29.01556465412668, "params": null, "bitstrings": ["00010010", "10010100"], "total_optimization_steps": 100, "probabilities": [0.08885859234834492, 0.14533982299955506], "optimization_time": 124.16833639144897} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 12.0 * Z(1) + 1.0 * Z(0) + 11.5 * Z(2) + -3.5 * Z(3) + 5.5 * Z(4) + 10.0 * Z(5) + 13.5 * Z(6) + 11.0... | 1 | 8 | 2 | {"smallest_eigenvalues": [-56.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.0, "smallest_bitstrings": ["10010100"], "largest_eigenvalue": 111.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.11744815463858174) q[0];
rz(-pi) q[1];
ry(-3.026092179949839) q[1];
h q[2];
ry(32.5849926710132) q[2];
h q[3];
ry(0.047342858880759106) q[3];
h q[4];
cx q[4], q[3];
ry(-0.047342858880759106) q[3];
cx q[4], q[3];
ry(-2.027643456485461) q[5];
rz(-pi) q[5];
r... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"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(62.9199) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZZIII",
"IIZIIIZI",
"IZIIIZII",
"IZZIIIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
12,
1,
11.5,
-3.5,
5.5,
10,
13.5,
11
] | 0.972686 | [
62.69400457174355,
-2.3415621914554423,
32.5849926710132,
17.68268615894805,
-17.218980335052585,
1.7884196642924002,
0.16192267147902606,
0.09468571776151821,
0.11466655251197952,
0.053258326234269265,
0.20143892982281264,
-0.09577535297322255,
-0.23489630927716348,
-0.1066141280014285,
... | {
"n_parameters": 62,
"n_qubits": 8,
"optimal_eigenvalue": -56,
"target_ratio": 0.97,
"target_value": -54.32
} | 112 |
93141c357d164fcf2a36ba666f8f01e3 | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 2, "target": 3}, {"source": 1, "target": 3}]} | {"states": [2973, 3485], "expectation_value": -7.595739532765844, "params": null, "bitstrings": ["010001100010", "001001100010"], "total_optimization_steps": 100, "probabilities": [0.05944826069420597, 0.8620316846393108], "optimization_time": 280.83036494255066} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 12 | 2 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.75, "smallest_bitstrings": ["100100001010", "001001100010", "010010100001", "010010001100", "001001010100", "100100010001"], "largest_eigenvalue": 23.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1714898456555271) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.1714898456555271) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1714898456555271) q[1];
cx q[1], q[0];
rz(-0.24938667349607663) q[0];
cx q[1], q[0];
cx q[2], q[1];
h q[3];
... | null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.5706) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIZIIIIIIIIZ",
"IIZIIZIIIIII",
"IIZIIIIIZ... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1.25,
1.25,
1.25,
1,
1,
1,
1.25,
1.25,
1.25
] | 0.525188 | [
0.1714898456555271,
-0.24938667349607663,
1.1176635259891476,
0.8103834446690221,
-0.7718739166458187
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 163 |
9c3f86affe867d86b1a933450f0ead98 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [0, 1], "expectation_value": -38.36314741070186, "params": [[[0.0026000000000000003, -0.3543], [0.0009000000000000001, -0.379], [-0.0001, -0.3809], [0.0025, 0.3647], [0.0038, -0.37820000000000004], [0.6096, 0.0016]], [[-0.0043, -0.3672], [-0.0028, -0.38170000000000004], [-0.0018000000000000002, -0.4024000000... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 1 | 6 | 3 | {"smallest_eigenvalues": [-40.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -37.25, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 119.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.08159444532943627) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.08159444532943627) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.08159444532943627) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.08159444532943627) q[3];
cx q[1], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
3,
3,
-13,
-13,
-13.25,
-13,
-13,
-12.25
] | 0.972546 | [
0.08159444532943627,
0.316411072313747,
1.4274685730664627,
1.5697177918156073,
0.6556767612910719,
0.5389446975291273,
-0.02784567768025009,
-0.5301187784688065,
0.4226894690015448,
0.20765044488818968,
-0.5369605142119381,
0.8276321080557579,
-0.20067121769985835,
0.021804244236934816,
... | {
"n_parameters": 18,
"n_qubits": 6,
"optimal_eigenvalue": -40.25,
"target_ratio": 0.97,
"target_value": -39.0425
} | 59 |
7c13ad0365481b8f4c94fe0692e944b8 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 6}, {"weight": 13, "source": 0, "target": 2}, {"weight": 14, "source": 1, "target": 5}, {... | {"states": [218, 122], "expectation_value": -25.638794991048076, "params": [[-0.0453, -0.0017000000000000001, 0.0161, 0.0034000000000000002], [0.0799, 0.0641, 0.054400000000000004, 0.0557]], "bitstrings": ["00100101", "10000101"], "total_optimization_steps": 10, "probabilities": [0.018822853376918212, 0.025131312172505... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 10.5 * Z(1) + 9.5 * Z(0) + 7.5 * Z(2) + 17.0 * Z(3) + 11... | 1 | 8 | 4 | {"smallest_eigenvalues": [-66.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 122.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(1.5707962879127242) q[0];
h q[0];
rx(1.1096276484305554e-07) q[1];
h q[1];
rx(0.2818339182180038) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
10.5,
9.5,
7.5,
17,
11,
1,
12.5,
5.5
] | 0.153846 | [
1.5707962879127242,
1.1096276484305554e-7,
0.2818339182180038,
0.29522327631042783,
1.57079626082328,
-0.35558512854723284,
-0.3488988066315334,
1.570796359971608,
-0.01470265159093928,
-0.2818338345430893,
-1.5707961662067849,
-0.2698570203604268,
0.6860075752835871,
0.4982873472655991,
... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 394 |
27e77dc99416ada4c5d281f5cb59d253 | 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": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4... | {"states": [64, 63], "expectation_value": -0.21129242015818567, "params": [[0.0694, -0.06430000000000001], [-0.0809, 0.0268]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.009598075546755024, 0.009768659616494053], "optimization_time": 3.1958632469177246} | -0.25 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(4)) + -1.0 * Z(3) + -0.... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.75, -5.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.75, "smallest_bitstrings": ["1001000", "1000000"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.001861280777779208) q[0];
ry(-0.5773662085055048) q[1];
ry(-0.10758590765451301) q[2];
ry(0.021903783796151637) q[3];
ry(-0.008785686069597308) q[4];
ry(-0.055595892079957104) q[5];
ry(2.7673418599787256) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] 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": []} | [
"IIIZIIZ",
"ZIIIIIZ",
"ZIIIIZI",
"IIIZZII",
"IIIIZZI",
"IIZZIII",
"ZIZIIII",
"IIZIIZI",
"IIZIZII",
"IZIZIII",
"IZIIIZI",
"IZIIZII",
"IZZIIII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII",
"IZIIIII"
] | [
-0.25,
0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
-1,
-0.25,
-0.5,
1.5,
-0.5,
0.5,
0.25
] | 0.977551 | [
-0.001861280777779208,
-0.5773662085055048,
-0.10758590765451301,
0.021903783796151637,
-0.008785686069597308,
-0.055595892079957104,
2.7673418599787256,
0.05934540510533431,
0.06567533265908135,
-0.0026966537146873096,
0.0024350819685033907,
-0.12588591029733984,
-0.04433102940974164,
-0.... | {
"n_parameters": 25,
"n_qubits": 7,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 21 |
eb37df157f972d0ca6ce6f2978928048 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [1, 5], "expectation_value": -2.920159676925354, "params": [[[-0.0037, 0.3236], [-0.0001, 0.3753], [-0.0032, 0.38520000000000004], [0.4949, 0.0005], [0.0009000000000000001, 0.3002], [0.5071, -0.0016]], [[0.0031000000000000003, 0.3589], [-0.006500000000000001, 0.3816], [-0.0002, 0.3875], [0.4887, 0.0005], [-0... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(4) + -0.75 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["111010"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.34781260363078503) q[0];
ry(-0.0790730710407612) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.07098067974575972) q[2];
h q[3];
ry(1.191000615298271) q[3];
ry(-0.0919506591296967) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[0];
ry(0.34781260363078503) q[0];
cx q[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] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIIZ",
"IIIZZI",
"IIZZII",
"ZIIIIZ",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
-0.25,
-0.5,
-0.5,
-0.25,
1,
-0.25,
-0.25,
0.25,
-0.25,
-0.25,
-0.75,
0.5,
0.5
] | 0.971308 | [
-1.6195195910882816,
-0.6956252072615701,
1.163192809081668,
-0.6409245945835431,
-1.4157079854028858,
-1.4464175889434372,
1.191000615298271,
0.4437522521707178,
-0.5414288192221872,
0.3199884413474384,
-0.09061133362139674,
-0.12627536452462831,
-0.04451483090474981,
-0.07956465144531773... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 6 |
23c6590e387f05fe94993d0724eddf92 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 5}, {"weight": 15, "source": 1, "target": 2}, {"weight": 15, "source": 1, "tar... | {"states": [250, 234], "expectation_value": -19.72479017347456, "params": [[0.021500000000000002, 0.007200000000000001, -0.0058000000000000005], [-0.042800000000000005, -0.0465, -0.0431]], "bitstrings": ["100000101", "100010101"], "total_optimization_steps": 10, "probabilities": [0.0047668528693810735, 0.00639527095601... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-94.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.0, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 166.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.14501455624980522) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.14501455624980522) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(0.14501455624980522) q[2];
cx q[0], q[2];
rz(1.0344845210050462) q[0];
rx(0.21505856718922917) q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIZIIIZI",
"IIIZZIIII",
"IIZIIIIZI",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"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,
18,
5,
16.5,
12,
2,
16,
6,
22.5,
0.5
] | 0.979007 | [
0.14501455624980522,
-1.1901499906840702,
1.034484521005045,
-1.1814458861271198,
-1.3843402858965694,
0.3911871449489383,
-0.9634332922169215,
-0.06329978252250862,
-1.6711687726871434,
0.7920633333394742,
0.21505856718922908,
-0.15099145941507233,
-0.33983126580977296,
0.6487549786021121... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -94,
"target_ratio": 0.97,
"target_value": -91.17999999999999
} | 65 |
-7875035683127589433 | hypermaxcut | qaoa | {"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": [271, 283], "expectation_value": -0.3425193555405661, "params": [[-0.231], [0.22790000000000002]], "bitstrings": ["011110000", "011100100"], "total_optimization_steps": 30, "probabilities": [0.0035986536049281773, 0.0035986536049281773], "optimization_time": 5.537597417831421} | 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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[... | null | {"circuits": [], "gradients": []} | [
"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 |
9b6c90aee56ab84919f7c826e678a024 | edge_cover | qaoa | {"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": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [35, 21], "expectation_value": -0.287516965767661, "params": [[-0.0584, -0.0563, -0.033, -0.0521], [0.0655, 0.07400000000000001, 0.0592, 0.062200000000000005]], "bitstrings": ["011100", "101010"], "total_optimization_steps": 10, "probabilities": [0.02426898182752786, 0.02426898182752788], "optimization_time"... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(2)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(5)) + -0.125 * (Z(3) @ Z(2) @ Z(5)) + 0.12... | 1 | 6 | 4 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.375, "smallest_bitstrings": ["101010", "011010", "011100"], "largest_eigenvalue": 4.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.715232848262334) q[0];
h q[1];
ry(-0.030328296195851544) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.715232848262334) q[3];
cx q[1], q[3];
ry(0.715232848262334) q[3];
cx q[1], q[3];
ry(0.8365951312196482) q[1];
ry(-0.137398110733318) q[3];
h q[4];
cx q[4], q[0];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZZIII",
"IIIZIZ",
"IIZIIZ",
"ZIIIIZ",
"IIZZII",
"ZIIZII",
"ZIZIII",
"IIZZIZ",
"ZIIZIZ",
"ZIZIIZ",
"ZIZZII",
"ZIZZIZ",
"IZIIZI",
"ZIIIZI",
"ZZIIII",
"ZZIIZI",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
-0.125,
-0.25,
-0.625,
-0.125,
-0.25,
0.125
] | 0.971164 | [
-1.5328804564516896,
-1.430465696524668,
1.0834096726626357,
0.8365951312196482,
-0.5509012021507701,
-0.274796221466636,
0.5569995611029345,
-0.19436412134691167,
0.4190248734622253,
-0.1534221934072706,
-0.34688012124946255,
0.35811511996319667,
0.3114564153778113,
-0.27922289113440785,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 4 |
7efca02d91f49e4bd32e9ceac2c5c6eb | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 6}, ... | {"states": [65, 97], "expectation_value": -2.026842435917317, "params": [0.5012, -0.0008, 0.46950000000000003, 0.0002, 0.030100000000000002, -0.253, 0.0036000000000000003, -0.2859, 0.2492, -0.1907, 0.0502, 0.3617, 0.5271, 0.20040000000000002, 0.5014000000000001, -0.0004, 0.4748, 0.0008, 0.029400000000000003, -0.255, 0.... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(5) + -0.5 * Z(6) | 3 | 7 | 4 | {"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": ["0111010", "1100101", "1001110", "1000111", "1110001", "0111001", "0011110"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.4594827096862753) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.4594827096862753) q[3];
cx q[0], q[3];
rz(-0.5630635507632684) q[0];
rx(-0.901497698191471) q[0];
h q[4];
cx q[2], q[4];
rz(0.4594827096862753) q[4];
cx q[2], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIZII",
"IIZIIZI",
"IZIIIZI",
"ZIIZIII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.926719 | [
0.4594827096862753,
-0.5630635507632685,
-0.901497698191471,
1.3353012772704733,
-1.605474020176386,
-0.822650231119289,
-0.30828100973507994,
-0.6582238828432734,
0.6011290317482081
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 264 |
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