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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1836f56c6aacade8d2873047a951421e | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 18, "source": 1, "target": 7}, {"weight": 13, "source": 1, "tar... | {"states": [243, 234], "expectation_value": -25.576555588486492, "params": [[-0.039900000000000005, -0.0045000000000000005, 0.012100000000000001], [0.06670000000000001, 0.0734, 0.0663]], "bitstrings": ["100001100", "100010101"], "total_optimization_steps": 10, "probabilities": [0.00936131254915104, 0.012395917547764042... | 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(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 11.5 * Z(1) + 6.0 * Z(0) + 18.0 * ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 142.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.20266467470833227) q[0];
rz(2.168432193317308) q[0];
rx(0.07081375388277941) q[1];
rz(1.7717666353110797) q[1];
rx(0.13646139574937427) q[2];
rz(1.3847292031501102) q[2];
rx(0.11845607904840359) q[3];
rz(1.5638165193041313) q[3];
rx(-0.36514156036254475) 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", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIZIIIZI",
"IIIZZIIII",
"IIZIIIZII",
"IZIIIZIII",
"IZZIIIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
11.5,
6,
18,
11,
4,
12.5,
2,
10.5,
8.5
] | 0.972406 | [
-0.20266467470833233,
0.5976358665224123,
0.07081375388277941,
0.2009703085161829,
0.13646139574937427,
-0.18606712364478684,
0.1184560790484036,
-0.0069798074907648205,
-0.3651415603625448,
-0.3989072995223136,
0.27120050297296056,
0.08141328367978312,
0.0618548223809936,
0.44064280983791... | {
"n_parameters": 110,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 91 |
13b5396df6ad27aea05f400e3a29be63 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"sour... | {"states": [49, 177], "expectation_value": -5.55146925284746, "params": [0.0024000000000000002, 0.0098, 1.5946, 0.0001, 1.5341, 0.0027, 1.6116000000000001, 0.0009000000000000001, 1.6098000000000001, 0.0055000000000000005, 0.0017000000000000001, 0.0018000000000000002, -0.0043, 0.0051, 0.1814, 0.0001, 1.6096000000000001,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ 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(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.5, "smallest_bitstrings": ["101001110", "101011100", "110001110"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.10541624809692982) q[0];
ry(0.8757410107993856) q[1];
ry(0.843357594779127) q[2];
ry(-0.0268855691183135) q[3];
ry(1.221275055493332) q[4];
ry(-0.06999698673772414) q[5];
ry(0.042751162560464816) q[6];
ry(0.1497258182093612) q[7];
ry(0.7994161556246975) 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",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIIZII",
"IZIIIIIIZ",
"IZIIIIZII",
"ZIIIIIIIZ",
"ZIIZIIIII",
"IZZIIIIII",
"ZIZIIIIII",
"IIZIIZIII",
"IIIZZIIII",
"IZIIZIIII",
"IIZIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIZIIIII",
"IZIIIIIII",
"... | [
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,
-1.5,
-2,
-1.5,
-1,
-1.5,
0,
-1
] | 0.972313 | [
-0.10541624809692982,
0.8757410107993856,
0.843357594779127,
-0.0268855691183135,
1.221275055493332,
-0.06999698673772414,
0.042751162560464816,
0.1497258182093612,
0.7994161556246975,
0.023632825702003455,
0.465402078587639,
0.4580313956034724,
1.3659493316279991,
1.1274906037694907,
0.... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 5 |
16e531ebd5c4fa365456c9500ea8e716 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [38, 7], "expectation_value": -12.588143650301648, "params": null, "bitstrings": ["1011001", "1111000"], "total_optimization_steps": 63, "probabilities": [0.10773790860779595, 0.6115449305490317], "optimization_time": 110.98962473869324} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 18 | 7 | 3 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.17931700348995208) q[0];
rz(-0.5295651513983046) q[0];
rx(0.1383091762588557) q[1];
rz(-2.4427159179592346) q[1];
rx(0.19192920998953547) q[2];
rz(0.7692060885471252) q[2];
rx(0.010941951037614334) q[3];
rz(1.0249064769628937) q[3];
rx(3.3823159256033737) q[4];
rz... | null | {"k": 4} | {"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(-1.5577) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.25,
2.25,
2.5,
2.5,
-3.25,
-3.5,
-3.5,
-3.5,
-3,
-2.75,
-3
] | 0.970005 | [
-0.17931700348995208,
-0.5295651513983046,
0.1383091762588557,
-2.4427159179592346,
0.19192920998953547,
0.7692060885471252,
0.010941951037614334,
1.0249064769628937,
3.3823159256033737,
0.76377487209716,
2.7495714135870237,
0.6576922218401471,
3.0317260152509355,
-2.4912281243830905
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 29 |
6aecb2db5a17939aba5a720d201b5cc2 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [190, 186], "expectation_value": -2.665926416143701, "params": [-0.002, -0.0028, 1.399, 1.3976000000000002, 0.060000000000000005, -0.054900000000000004, 1.3756000000000002, 1.3232000000000002, 1.3961000000000001, 1.3987, 1.3920000000000001, 1.3918000000000001, 0.9867, 0.9528000000000001, 1.1506, 1.3885, 0.33... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(2) @ Z(5)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(7) @ Z(1)) + 0.125 * (Z(6) @ Z(5)) + 0.125 * (Z(7) @ Z(5)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (... | 14 | 9 | 1 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.125, "smallest_bitstrings": ["101100010", "101000110", "101001001", "111000001", "101000101", "010110010", "010110001", "100110010",... | 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] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIZIIZII",
"IIIZZIIII",
"IIIZZIZII",
"IIIZIIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZZIIIII",
"IZIZIIIII",
"IZZIIIIII",
"IIZZIIIZI",
"IZIZIIIZI",
"IZZIIIIZI",
"IZZZIIIII",
"IZZZIIIZI",
"IIZIIZIII",
"ZIIIIZIII",
"ZIZIIIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.5,
-0.125,
-0.25,
-0.25,
-0.25,
0.125,
0.125,
-0.125,
-0.25
] | 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 |
159674029209513093 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 3, 4, 5], [1, 2, 3, 5], [0, 1, 2, 4], [0, 1, 2, 5], [0, 1, 2, 3], [0, 1, 3, 4, 5]]} | {"states": [47, 45], "expectation_value": -1.2733067014866393, "params": null, "bitstrings": ["010000", "010010"], "total_optimization_steps": 26, "probabilities": [0.09060756483325287, 0.7974111224836128], "optimization_time": 26.862118005752563} | 0.3 * (Z(0) @ Z(2)) + 0.21666666666666667 * (Z(3) @ Z(2)) + 0.18333333333333335 * (Z(3) @ Z(0)) + 0.13333333333333333 * (Z(4) @ Z(2)) + 0.18333333333333335 * (Z(4) @ Z(0)) + 0.1 * (Z(4) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(2)) + 0.18333333333333335 * (Z(5) @ Z(0)) + 0.18333333333333335 * (Z(5) @ Z(3)) + 0.1 * (Z(5... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.3166666666666669, -1.3166666666666669], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.3166666666666664, "smallest_bitstrings": ["001010", "010010"], "largest_eigenvalue": 5.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(3.7083113148980365e-08) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(1.962880927346927e-08) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-2.646817199850091e-08) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(-8.835816843536436e-08) ... | 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(1.5055) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IZZIII",
"ZIIZII",
"ZIIIIZ",
"ZIZIII",
"ZZIIII",
"IIIZZI",
"IIIIZZ",
"IIZIZI",
"IZIIZI",
"ZIIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIIZI"
] | [
0.3,
0.21666666666666667,
0.18333333333333335,
0.13333333333333333,
0.18333333333333335,
0.1,
0.21666666666666667,
0.18333333333333335,
0.18333333333333335,
0.1,
0.3333333333333333,
0.3,
0.21666666666666667,
0.13333333333333333,
0.21666666666666667,
0.6,
0.5750000000000002,
0.45000... | 0.902186 | [
3.7083113148980365e-8,
1.962880927346927e-8,
-2.646817199850091e-8,
-8.835816843536436e-8,
-1.33718120101323e-8,
5.86305267371123e-8,
-1.570796340797539,
1.570796408630983,
-0.576931242266165,
-1.5707964905985634,
1.5707962292841438
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -1.3166666666666669,
"target_ratio": 0.97,
"target_value": -1.2771666666666668
} | 336 |
0963943ecfb82868686868de206d3c2c | 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": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}]} | {"states": [5, 13], "expectation_value": -0.05491822648890053, "params": [[-0.0685], [0.0711]], "bitstrings": ["11010", "10010"], "total_optimization_steps": 10, "probabilities": [0.03305420654058623, 0.03400500473001039], "optimization_time": 1.0013394355773926} | -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 | 1 | {"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] 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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[1], q[4];... | {"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 |
-4509764041376285527 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[5, 6], [0, 4], [2, 5], [1, 6], [0, 2], [1, 3]]} | {"states": [29, 98], "expectation_value": -0.07600624536587909, "params": [[0.0786], [-0.0824]], "bitstrings": ["1100010", "0011101"], "total_optimization_steps": 10, "probabilities": [0.009057634547627466, 0.009057634547627466], "optimization_time": 1.24365234375} | 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.0 * Z(6) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["0011101", "1100010"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.851477575761746) q[0];
cx q[4], q[0];
rz(3.359396849589302e-08) q[4];
rx(-0.7853981533089593) q[4];
h q[5];
h q[6];
cx q[6], q[5];
rz(0.851477575761746) q[5];
cx q[6], q[5];
cx q[5], q[2];
rz(0.851477575761746)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[5];
rz(x0) q[5];
cx q[6], q[5];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[5], q[2];
rz(x0) q[2];
cx q[5], q[2];
cx q[0], q[2];
... | null | {"circuits": [], "gradients": []} | [
"ZZIIIII",
"IIZIIIZ",
"IZIIZII",
"IIIIZIZ",
"ZIIIIZI",
"IIIZIZI",
"ZIIIIII",
"IZIIIII",
"IIZIIII",
"IIIIIIZ",
"IIIIZII",
"IIIIIZI",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.538409 | [
0.851477575761746,
3.3593968527055054e-8,
-0.7853981533089596
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 101 |
5096143430902867398 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 2, 6], [3, 4], [8, 2, 3, 5], [1, 5], [0, 2, 6, 7], [1, 4, 6], [2, 4], [0, 4], [4, 5, 6], [8, 0, 3, 6], [1, 3], [2, 3, 7], [0, 3, 5, 6], [0, 2, 5], [8, 7]]} | {"states": [364, 366], "expectation_value": -3.988006337959983, "params": [1.4357, -0.0023, 1.6954, 0.0019, -0.0039000000000000003, 0.9599000000000001, -0.005, 0.0073, 1.5746, -0.0025, 1.5718, 0.0085, 1.5724, -0.0028, 1.5733000000000001, 0.0004, -0.0046, 0.9592, -0.0026000000000000003, 0.0064, 1.7375, 0.4378, 1.4143000... | 0.25 * (Z(8) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(8)) + 0.25 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(8)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.25 * (Z(... | 7 | 9 | 1 | {"smallest_eigenvalues": [-4.166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.9166666666666656, "smallest_bitstrings": ["010010001"], "largest_eigenvalue": 12.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(1.3472719083706204) q[0];
h q[1];
ry(-0.6860803010307365) q[1];
h q[2];
ry(1.5767232312522623) q[2];
h q[3];
ry(1.5394597854502776) q[3];
h q[4];
ry(-0.7027688452929356) q[4];
cx q[2], q[4];
ry(0.7027688452929356) q[4];
cx q[2], q[4];
ry(-0.10076702228336856)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"ZIIIIIZII",
"IIZIIIZII",
"ZIZIIIIII",
"IIIIIZZII",
"ZIIIIZIII",
"IIZIIZIII",
"IIIIZIZII",
"IIZIZIIII",
"IIIIZZIII",
"IIIZIIZII",
"ZIIZIIIII",
"IIZZIIIII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIZI",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIZIIIZI",
"IIIIIIZIZ",
"ZIIIIIIIZ",
"IIZIIIIIZ",
"... | [
0.25,
0.25,
0.25,
0.25,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.5,
0.25,
0.08333333333333333,
0.25,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.25,
0.08333333333333333,
0.25,
0.1666666666666666... | 0.97737 | [
1.5361602076406344,
1.5767232312522623,
-1.4055376905858712,
1.5394597854502776,
-1.372160602061473,
-1.0993796091748689,
1.3472719083706204,
0.6539272555992419,
-0.39547304215942547,
0.6709446980576826,
-0.20153404456673712,
-0.2889180168061089,
0.21346555692965716,
-0.059496006699233814,... | {
"n_parameters": 42,
"n_qubits": 9,
"optimal_eigenvalue": -4.166666666666665,
"target_ratio": 0.97,
"target_value": -4.041666666666665
} | 1 |
4cda5dee957682c08dbd329bc943c5ef | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [34, 72], "expectation_value": -0.6230281334532363, "params": [[0.0317, 0.0726], [-0.0001, -0.0597]], "bitstrings": ["1011101", "0110111"], "total_optimization_steps": 10, "probabilities": [0.009372151367205088, 0.009372151367205093], "optimization_time": 4.594762563705444} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ 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(2)) + 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(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.0, "smallest_bitstrings": ["1011101", "0110111", "1111100", "1101011", "1101110", "1110110"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.02594948614362916) q[0];
ry(0.159556898477795) q[1];
ry(3.220243018720069) q[2];
ry(-0.26118800429812855) q[3];
ry(-0.11708632410814492) q[4];
ry(2.6961583172483548) q[5];
ry(-0.003793597072665269) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
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;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IZIIIIZ",
"IZIIZII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IIIZIZI",
"IIIZZII",
"IIZZIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"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,
-2,
-2,
-1.5,
-2,
-1.5,
-1,
-1.5
] | 0.971524 | [
-0.02594948614362916,
0.159556898477795,
3.220243018720069,
-0.26118800429812855,
-0.11708632410814492,
2.6961583172483548,
-0.003793597072665269,
0.016356167604613624,
-0.03425868078488903,
-0.02361447462930349,
-0.019473692669395654,
0.5536734217067089,
0.22703499698521307
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 41 |
26d7f56e59bfdf48052023802b40605b | kclique | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [6, 3], "expectation_value": -7.266998784218237, "params": null, "bitstrings": ["11001", "11100"], "total_optimization_steps": 29, "probabilities": [0.1270260520166957, 0.6801278965337934], "optimization_time": 23.67515754699707} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4) | 6 | 5 | 3 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(1.2499764251158545) q[0];
ry(-3.131892145691064) q[1];
rz(-pi) q[1];
cx q[0], q[1];
ry(-0.044478645155635405) q[1];
cx q[0], q[1];
ry(0.12664230797643383) q[0];
h q[2];
ry(1.5166171737405318) q[2];
ry(-0.03588918412791559) q[3];
rz(-pi) q[3];
ry(-0.0607466333... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
2,
1.75,
1.75,
2,
2,
2,
-2.75,
-2.5,
-2.75,
-2.25,
-2.25
] | 0.996768 | [
-1.542809730398753,
-1.422554814258884,
1.2499764251158545,
1.5166171737405318,
-0.17498975827594188,
0.08895729031127081,
0.07763652938393162,
0.25328461595286766,
0.0158051754635434,
-0.01985291831550096,
-0.1417123084039368,
-0.06160524380502602,
-0.0461715348705158
] | {
"n_parameters": 13,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
068ca9ebc869ed2b6b1f40ca0469471e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [1918, 1914], "expectation_value": -1.4498985712856225, "params": [[[0.3462, 0.8367, 0.005, 0.009000000000000001], [-0.11410000000000001, -0.8385, 0.4733, 0.0051], [0.9978, 0.0019, 1.0042, 0.0089], [0.9978, -0.0023, 1.0088000000000001, 0.0028], [0.7927000000000001, 0.1163, 0.8487, 0.0], [0.6414000000000001, ... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(5) @ Z(0)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(5) @ Z(6)) ... | 11 | 12 | 1 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 23, "first_excited_energy": -2.75, "smallest_bitstrings": ["100100000011", "011000100001", "010010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.3957985069517005) q[0];
h q[1];
ry(1.5114028040861018) q[1];
h q[2];
ry(-1.526922983837543) q[2];
h q[3];
ry(-1.526922983837543) q[3];
ry(-0.11440455969290664) q[4];
rz(-pi) q[4];
h q[5];
ry(-0.5672591944997557) q[5];
h q[6];
cx q[6], q[5];
ry(0.56725919449... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZZII",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIIIZZZII",
"IIIIIIIIIZIZ",
"IIIIIIZIIIIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIIZ",
"IIIIIIZIIZII",
"IIIIIZIIIZII",
"IIIIZIIIIZII",
"IIIIIZZIIIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIIIIZIIZIZ",
"IIIIIZIIIZIZ",
"IIIIZIIII... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.062... | 0.997874 | [
-1.526922983837543,
-1.4021260090422283,
1.3957985069517005,
1.5114028040861018,
-1.1345183889995114,
0.552255256194146,
-0.39609545392408263,
0.5830247778065006,
-0.30424605695940454,
0.31827948046517196,
-0.26416314121957485,
-0.10853151611952326,
-0.05051947752201759,
0.1195228129329295... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
2245143298754336995 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2], "hyperedges": [[0, 1], [1, 2]]} | {"states": [2, 5], "expectation_value": -0.8584632227034505, "params": null, "bitstrings": ["101", "010"], "total_optimization_steps": 11, "probabilities": [0.07556414489901593, 0.8229185809877103], "optimization_time": 4.201823472976685} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) | 1 | 3 | 1 | {"smallest_eigenvalues": [-1.0, -1.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": 0.0, "smallest_bitstrings": ["101", "010"], "largest_eigenvalue": 1.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
ry(-0.5122372217821837) q[1];
h q[2];
cx q[2], q[1];
ry(0.5122372217821837) q[1];
cx q[2], q[1];
ry(-0.2798241359943986) q[1];
cx q[0], q[1];
ry(0.2798241359943986) q[1];
cx q[0], q[1];
ry(-0.5569148600950864) q[1];
ry(0.6458464053003141) q[0];
ry(1.2845... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\ncry(-1.0342) q[2], q[1];\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(-1.0342) q[2], q[1]... | [
"IZZ",
"ZZI",
"IZI",
"IIZ",
"ZII"
] | [
0.5,
0.5,
0,
0,
0
] | 0.976885 | [
-1.0244744435643673,
1.2845550204423435,
-0.5596482719887972,
1.2916928106006282,
0.32478108876813516,
-0.5569148600950864,
0.17033568075660852,
-1.0924944856600827,
-0.4755571302567431
] | {
"n_parameters": 9,
"n_qubits": 3,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 10 |
b301caa8ee54d69b7ea37306c72194d5 | 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": 6, "source": 0, "t... | {"states": [214, 118], "expectation_value": -9.306228387067291, "params": [[-0.0386], [0.07350000000000001]], "bitstrings": ["00101001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.007275479207143356, 0.007816215542582204], "optimization_time": 2.7956881523132324} | 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 7.5 * Z(0) + 13.5 * Z(3) + 18.0 * Z(1) + 18.0 * Z(2) + 8.0 * Z(5) + 4.5 * Z(4)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-64.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 126.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-0.06347993300546761) q[0];
ry(2.992575480203145) q[0];
rz(-2.8384273294090185) q[0];
rz(2.1169877527792913) q[1];
ry(0.32367041637651545) q[1];
rz(-0.9241277141255932) q[1];
rz(0.3928639994170604) q[2];
ry(2.9960386583190366) q[2];
rz(-2.9496046030450467) q[2];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[3];
rz(x0) q[3];
cx q[0],... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIIIIZZ",
"IIIIZIZI",
"IIIIIZIZ",
"IIIIZZII",
"IIIIIZZI",
"IIZIIZII",
"IIZZIIII",
"IZIZIIII",
"ZIIIIIZI",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
7.5,
13.5,
18,
18,
8,
4.5,
6,
1
] | 0.975073 | [
0.7541740997564996,
-0.08897060080098201,
0.0341104565438206,
0.3162561023169565,
0.9646454844957498,
-0.08022338423338521,
-0.015940874132053987,
0.24465601585825247,
1.1360293018527372,
0.15521536851054535,
0.0916895373402746,
-0.42605715799213406,
0.009023942239593907,
0.136073202055540... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -46,
"target_ratio": 0.97,
"target_value": -44.62
} | 12 |
d7d7a914f5c5b10bb66230237db17fae | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target":... | {"states": [448, 508], "expectation_value": -13.693649255204447, "params": [-1.6115000000000002, -1.5029000000000001, -0.0004, -0.0026000000000000003, -0.054900000000000004, 0.050300000000000004, -1.0918, -0.8277, -0.0022, 0.0029000000000000002, -0.0025, -0.0025, -0.0019, -0.0018000000000000002, -0.006500000000000001, ... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6) + -1... | 14 | 9 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["000000011"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.7258110845197203) q[0];
h q[1];
h q[2];
ry(0.844786465725395) q[2];
cx q[1], q[2];
ry(-0.844786465725395) q[2];
cx q[1], q[2];
cx q[2], q[0];
ry(-0.7258110845197203) q[0];
cx q[2], q[0];
ry(-0.30174669820616645) q[1];
cx q[0], q[1];
ry(0.30174669820616645) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"IIZIZIIII",
"IIZIIZIII",
"IIZZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-1.5,
-1.5,
-1.5,
-2,
-2,
-1.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.970337 | [
0.07026661333681955,
-1.0237291300009381,
1.4516221690394406,
-0.2823579451959497,
3.080456406478833,
-1.537271361896147,
0.030341946098542773,
-0.009266811655052457,
1.68957293145079,
-0.6034933964123329,
0.7858991742819588,
-1.571144564279388,
-0.0778103355504738,
0.03025338001006666,
... | {
"n_parameters": 49,
"n_qubits": 9,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 497 |
629504279f468411145abc8bbc01a7ac | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [24, 31], "expectation_value": -16.087376244452752, "params": [-0.0025, 0.0066, -0.0025, 0.006500000000000001, -0.0025, 0.0008, -0.0026000000000000003, 1.7444000000000002, -0.0018000000000000002, -0.29510000000000003, 2.8259000000000003, 0.0034000000000000002, -0.0018000000000000002, 0.2868, -0.0024000000000... | -2.5 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + -1.5 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + 1.0 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(7) +... | 4 | 9 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["111100000"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.06512480167237142) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-4.490808688288129e-05) q[1];
rz(-pi) q[2];
ry(-0.00027066480360059557) q[2];
ry(-0.0016896575177686756) q[3];
rz(-pi) q[3];
h q[4];
ry(1.4528111153941428) q[4];
h q[5];
cx q[5], q[4];
ry(-1.4528111153941428)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
-2.5,
1,
-2.5,
0.5,
-2.5,
0.5,
-1,
-1.5,
-1.5,
-1.5,
-1.5,
-2,
-1.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.957143 | [
-1.3363076832325405,
-1.570905401671658,
-1.570972202207229,
1.5706891228555626,
1.7564891971126506,
1.2310696188078234,
-0.00032317985367866226,
2.9056222307882855,
3.169653584954397,
-1.5706331160630937,
1.3850608960466344,
-1.5691539914602928,
0.00012000868569318898,
0.00012786219450783... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 500 |
bb51b85a8f0cca1e878093cb2d4e9f25 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [1, 3], "expectation_value": -10.39295415220944, "params": [[[0.36910000000000004, 0.22740000000000002], [0.25370000000000004, -0.27990000000000004], [0.2609, -0.27790000000000004], [0.35700000000000004, -0.2209], [0.7988000000000001, -0.0], [0.8044, 0.0]], [[0.3715, 0.006500000000000001], [0.2541, 0.0036000... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.25 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 ... | 1 | 6 | 2 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0578548521713938) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0578548521713938) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0578548521713938) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0578548521713938) 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] 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,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
-6,
-5.75,
-6,
-5.75,
-5.25,
-5.25
] | 0.970515 | [
0.0578548521713938,
-0.5965324608541779,
0.14798932566828993,
0.42484350980591923,
-0.9272829572068437,
-0.04010345398285296,
-1.1578923267991272,
-0.46130283317179,
-1.0852932021567716,
0.9461273837682691,
-0.03445215865394413,
-1.0967217839356491,
-0.4607238774334183,
0.35636944727550446... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 112 |
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": -3.8136970474306606, "params": [0.10250000000000001, 0.637, -0.1071, 0.677, 0.0073, 0.4283, -0.0258, 0.4605, -0.20700000000000002, 0.4116, -0.22820000000000001, 0.6497, -0.33, 0.5700000000000001, -0.3249, 0.628, -0.32530000000000003, 0.6166, -0.3149, 0.6322, -0.249, 0.6735, -0.18... | -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 | 4 | {"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 |
3d1dde02abe951da208ed22501079cfd | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [5, 7], "expectation_value": -16.029118944497437, "params": [0.1663, 0.1884, 0.1563, 0.1822, 0.1627, 0.2049, 0.17270000000000002, 0.2019, 0.1043, 0.2089, 0.4908, 0.09480000000000001, 0.4852, 0.0743, 0.4786, 0.10350000000000001, 0.16040000000000001, 0.18760000000000002, 0.1574, 0.17900000000000002, 0.161, 0.2... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 3 | 8 | 4 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(0.01916910831901575) q[0];
ry(0.040011321484877946) q[0];
rz(-0.3297910839494538) q[0];
rz(-0.6279459329093449) q[1];
ry(0.04144721688536006) q[1];
rz(1.3890117666592916) q[1];
rz(1.2678448526061201) q[2];
ry(0.3643402784305616) q[2];
rz(-2.253218816818194) q[2];
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[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIZIIIZI",
"IIZIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
2.75,
-7,
-7,
-7,
-7,
-7.5,
-6.25,
-6.5,
-6.25
] | 0.973939 | [
-0.06665264922991992,
-0.536085762019275,
0.05219494770080912,
0.4134012993974177,
0.2394787235997971,
-0.7739367453951336,
0.4866368394148667,
-0.0401288681240079,
0.008567340947978966,
0.15545946273142092,
1.3726489496448595,
0.04126656472357189,
0.9034759098953484,
1.9977648676974686,
... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 17 |
118037051d4e064ed30ce81580caf956 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [255, 3], "expectation_value": -0.1812109209901266, "params": [[0.0792], [-0.0867]], "bitstrings": ["100000000", "111111100"], "total_optimization_steps": 10, "probabilities": [0.0024273828126635745, 0.002623979937033289], "optimization_time": 2.3350706100463867} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + 1.0 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(4)) + -0.5 * (Z(7) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["111111100"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.35423059686369135) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[6];
rz(-0.35423059686369135) q[6];
cx q[1], q[6];
cx q[0], q[6];
cx q[1], q[2];
rz(-0.4605338850426425) q[2];
cx q[1], q[2];
cx q[1], q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIIIIIZZI",
"IIIIZIIZI",
"IIZIZIIII",
"IIIZIIIZI",
"IIZZIIIII",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZIZIII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIIIIZIII",
"... | [
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
1,
-0.25,
-0.5,
0.5,
-0.25,
-0.25,
-0.5,
-0.5,
0,
0.25,
0.25,
0.5
] | 0.636679 | [
-0.35423059686369135,
-0.4605338850426425,
0.5282199439181262,
0.4658687987128326,
0.08870843927991051,
0.46315182564164276,
-1.2916398330214331,
-0.4799638239930953,
-0.8971536052342277,
1.250974588504574,
0.7069071801825778,
0.3413040230787353,
-0.688751698856056
] | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 285 |
bd840c67c60de5e8a0e6837e43896a66 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [119, 127], "expectation_value": -6.663532538423464, "params": null, "bitstrings": ["10001000", "10000000"], "total_optimization_steps": 78, "probabilities": [0.1829048044125119, 0.5236471156154194], "optimization_time": 102.64976644515991} | -1.0 * (Z(0) @ Z(3)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -1.5 * (Z(7) @ Z(6)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(6)) + -1.75 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + 1.0 * Z(3) + -0.25 * Z(0) + -1.25 * Z(6) + -0.75 * Z(7) + 0.25 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.35990459281439513) q[0];
ry(0.023198227495002326) q[1];
ry(-0.34517053290632227) q[2];
ry(-0.07570776039062659) q[3];
ry(-0.3300671927820766) q[4];
ry(0.07912328524283957) q[5];
ry(-0.12769810895159228) q[6];
ry(2.542770934701043) q[7];
cx q[7], q[0];
cx q[6], q[7]... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIZIIZ",
"IZIIIIIZ",
"ZIIIZIII",
"ZIIIIIIZ",
"ZZIIIIII",
"IZIIIZII",
"IIIIIZZI",
"IIIZZIII",
"IZIZIIII",
"IIIZIIZI",
"IIZIIIZI",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII"
] | [
-1,
-0.5,
-1,
1.75,
-1.5,
-0.75,
-0.5,
-1,
-1.5,
-1.75,
-0.75,
1,
-0.25,
-1.25,
-0.75,
0.25,
-2,
2.25,
0.75
] | 0.971343 | [
0.35990459281439513,
0.023198227495002326,
-0.34517053290632227,
-0.07570776039062659,
-0.3300671927820766,
0.07912328524283957,
-0.12769810895159228,
2.542770934701043,
0.13639105111281324,
0.06582778734862514,
0.014480851916113589,
0.018346416700780566,
0.004479335725910791,
0.2717194537... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 35 |
9994d9c0864e8ab88d6d9169e088b46e | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 5}, {"weight": 11, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 6}, {... | {"states": [237, 122], "expectation_value": -23.85722838057859, "params": null, "bitstrings": ["00010010", "10000101"], "total_optimization_steps": 100, "probabilities": [0.0758429124261387, 0.08437980097930395], "optimization_time": 146.93020606040955} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(5) @ Z(6)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 11.5 * Z(0) + 14.0 *... | 1 | 8 | 2 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 143.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.11596378006153223) q[0];
rz(0.284417285133328) q[0];
rx(0.9079841915554171) q[1];
rz(0.024714267906631924) q[1];
rx(0.7975047609449103) q[2];
rz(0.10494849557346886) q[2];
rx(0.9341338115562028) q[3];
rz(-0.00661968580596823) q[3];
rx(0.9079841915554171) q[4];
rz(... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(7.7632) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZZIII",
"IZIIIZII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
11.5,
14,
10,
17.5,
13.5,
1,
10.5
] | 0.984616 | [
-0.11596378006153223,
0.3017390316030879,
0.9079841915554171,
0.024714267906631924,
0.7975047609449103,
0.10494849557346886,
0.9341338115562028,
-0.00661968580596823,
0.06657420471963857,
-0.0771816746141428,
0.4297982157077295,
0.6553221677779906,
0.11368518825262512,
-0.01430271979699142... | {
"n_parameters": 91,
"n_qubits": 8,
"optimal_eigenvalue": -65.5,
"target_ratio": 0.97,
"target_value": -63.535
} | 12 |
18dd4c426cbe67a44eb1a1feaa80acf2 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [51, 119], "expectation_value": -6.9030415441186825, "params": null, "bitstrings": ["11001100", "10001000"], "total_optimization_steps": 69, "probabilities": [0.2168824596047679, 0.2675820057610101], "optimization_time": 90.26107215881348} | -1.0 * (Z(0) @ Z(4)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(5)) + 1.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + -1.75 * (Z(7) @ Z(1)) + -1.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-13.0, -13.0, -13.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -12.0, "smallest_bitstrings": ["10000000", "10001000", "10011110"], "largest_eigenvalue": 12.0} | 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[1];
rz(0.030884823531118308) q[1];
cx q[3], q[1];
h q[4];
cx q[4], q[0];
rz(0.030884823531118308) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(-0.40111922029181324) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(0.007720559305830536)... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIZIIIZ",
"IIIIZIZI",
"IIZZIIII",
"IIZIZIII",
"IIZIIIZI",
"IZIZIIII",
"IZIIZIII",
"IZIIIIZI",
"IZZIIIII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIIIIZI",
"IIIIIZZI",
"IIZIIZII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII"
] | [
-1,
-1,
-1.25,
-0.5,
-0.5,
-1.5,
-1.5,
-0.5,
-0.25,
1.25,
-1,
-1.75,
-1.75,
-0.75,
-1.75,
-0.25,
-1,
2,
-0.25,
0.25,
-1.5,
2.5
] | 0.931747 | [
0.030884823531118308,
-0.40111922029181324,
0.007720559305830536,
-0.23315600538113385,
0.24539243476162034,
-0.4806649345399758,
0.17063070767241398,
-0.008540380939666133,
-1.7059085606254492,
1.636041258700253,
-0.9195588453897449,
1.2680234351244943,
0.021909361287217762,
-0.3369092285... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 500 |
eb37df157f972d0ca6ce6f2978928048 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [36, 5], "expectation_value": -3.5782610622400384, "params": null, "bitstrings": ["011011", "111010"], "total_optimization_steps": 19, "probabilities": [0.13580601683014493, 0.8593843333407868], "optimization_time": 9.962666273117065} | -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 | 3 | {"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], ... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"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 |
-485758261200529454 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 7], [10, 6], [4, 5], [9, 7], [9, 5], [1, 6], [3, 7], [2, 11], [3, 4], [0, 3], [11, 6], [8, 10], [2, 3], [8, 4], [3, 6], [9, 4], [0, 10], [8, 7], [9, 11], [9, 6], [0, 2], [0, 9], [8, 0]]} | {"states": [1614, 1870], "expectation_value": -2.856747319218382, "params": [0.5236000000000001, -0.22410000000000002, 0.5252, 0.0056, 0.9962000000000001, -0.0258, 1.0024, 0.0001, 0.9981000000000001, -0.0001, 0.9983000000000001, 0.01, 1.0046, 0.0028, 0.9966, -0.1968, 0.4253, -0.2411, 0.4184, 0.0082, 1.0008000000000001,... | 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(10) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(11) @ Z(6)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(... | 8 | 12 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5, -7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -6.5, "smallest_bitstrings": ["011101001110", "010101001111", "011100001110", "100010110001", "100011110001", "010100001111", "101011110000", "101010110000"], "largest_eigenvalue": 11.... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.06486664022903467) q[0];
rz(0.7415202955990754) q[0];
rx(0.9574897950299582) q[1];
rz(-0.0424094291874627) q[1];
cx q[1], q[0];
ry(-0.10159898671388864) q[0];
cx q[1], q[0];
ry(0.07887452575551725) q[0];
rz(-1.1719063272384718) q[0];
rx(1.8234883190459479) 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": []} | [
"IIIIZIIIIIZI",
"IIIIIZIIIIZI",
"IZIIIZIIIIII",
"IIIIIIZZIIII",
"IIZIZIIIIIII",
"IIZIIZIIIIII",
"IIZIIIZIIIII",
"IIZIIIIZIIII",
"IIIIZIIIZIII",
"IIIIIZIIZIII",
"IIIIIIIZZIII",
"IIIIIIIIZZII",
"ZIIIIZIIIIII",
"ZIZIIIIIIIII",
"ZIIIIIIIIZII",
"IZIIIIIIIIIZ",
"IIZIIIIIIIIZ",
"IIIIIIIIZ... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.973015 | [
-0.06486664022903468,
-0.8292760311958212,
0.9574897950299582,
-0.0424094291874627,
1.6608500285300756,
-0.07873472180575646,
1.6440673979919136,
-0.04412586368808824,
-0.3565516421340756,
0.20470550834004247,
0.26418937399799364,
-0.3822190038818342,
0.2162596226405646,
0.5242281365758006... | {
"n_parameters": 57,
"n_qubits": 12,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 69 |
6592905597368295048 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[2, 3, 5, 7, 9, 10], [0, 1, 2, 3, 4, 7, 10], [0, 2, 5, 6, 7, 8], [0, 1, 2, 7, 8], [8, 0, 4, 5], [1, 2, 4, 6, 7], [3, 4, 5, 6, 7, 10], [0, 2, 10, 5], [0, 3, 4, 7, 8], [8, 9, 2, 4], [0, 3, 8, 9, 10], [0, 9, 4], [0, 1, 3, 5, 6, 7], [8, 0, 10, 7], [1, 3, 4, 7, 8,... | {"states": [2040, 2026], "expectation_value": -4.187457362436369, "params": [1.6407, 0.0167, 1.3461, 0.0019, 1.5967, 0.0906, 1.3947, 0.0033, 1.6514, 0.055, 1.3994, 0.008400000000000001, 1.6329, 0.1, 1.3804, 0.004200000000000001, 1.6139000000000001, 0.1369, 1.4707000000000001, 0.008700000000000001, 1.6201, 0.1263, 1.431... | 0.14761904761904762 * (Z(3) @ Z(4)) + 0.15714285714285714 * (Z(6) @ Z(4)) + 0.20714285714285713 * (Z(6) @ Z(3)) + 0.26428571428571423 * (Z(8) @ Z(4)) + 0.2476190476190476 * (Z(8) @ Z(3)) + 0.2238095238095238 * (Z(8) @ Z(6)) + 0.2833333333333333 * (Z(10) @ Z(4)) + 0.15 * (Z(10) @ Z(3)) + 0.03333333333333333 * (Z(10) @ Z... | 5 | 11 | 1 | {"smallest_eigenvalues": [-4.816666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.683333333333334, "smallest_bitstrings": ["00000010101"], "largest_eigenvalue": 21.999999999999993} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.6885363582265855) q[0];
rz(0.2749635157369652) q[0];
rx(1.980610439440255) q[1];
rz(-0.8668024903292366) q[1];
rx(2.1850202350071086) q[2];
rz(-0.3354569392150597) q[2];
rx(1.980758704913416) q[3];
rz(-0.765371791960002) q[3];
rx(1.8270699335666136) q[4];
rz(-0.37... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IIIIIIZZIII",
"IIIIZIZIIII",
"IIIIZIIZIII",
"IIZIIIZIIII",
"IIZIIIIZIII",
"IIZIZIIIIII",
"ZIIIIIZIIII",
"ZIIIIIIZIII",
"ZIIIZIIIIII",
"ZIZIIIIIIII",
"IIIIIIZIZII",
"IIIIIIIZZII",
"IIIIZIIIZII",
"IIZIIIIIZII",
"ZIIIIIIIZII",
"IIIIIIZIIIZ",
"IIIIIIIZIIZ",
"IIIIZIIIIIZ",
"IIZIIIIII... | [
0.14761904761904762,
0.15714285714285714,
0.20714285714285713,
0.26428571428571423,
0.2476190476190476,
0.2238095238095238,
0.2833333333333333,
0.15,
0.03333333333333333,
0.03333333333333333,
0.20714285714285713,
0.1738095238095238,
0.35,
0.32380952380952377,
0.11666666666666667,
0.190... | 0.971369 | [
1.6885363582265855,
0.2867243711350618,
1.980610439440255,
-0.9788432075788791,
2.1850202350071086,
-0.4182125613433746,
1.980758704913416,
-0.8367651095397286,
1.8270699335666136,
-0.4110489108689099,
2.242391601798324,
0.49886327098596683,
0.380763389347249,
0.7679446288178754,
1.87208... | {
"n_parameters": 54,
"n_qubits": 11,
"optimal_eigenvalue": -4.816666666666667,
"target_ratio": 0.97,
"target_value": -4.6721666666666675
} | 92 |
f62281c68165f3e4d14cdd3e07ccca91 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [46, 43], "expectation_value": -5.9998989946825345, "params": null, "bitstrings": ["1010001", "1010100"], "total_optimization_steps": 37, "probabilities": [1.634990982098774e-05, 0.9999303746891435], "optimization_time": 47.099822759628296} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + -1.0 * Z(1) + -2.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) + -1.0 * Z... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["1010100"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.11110714934458205) q[0];
rz(1.5653773879816963) q[0];
rx(0.2678907842773557) q[1];
rz(1.8739954800679133) q[1];
rx(-0.2103826577110534) q[2];
rz(1.6030227083907995) q[2];
rx(0.45384505780804696) q[3];
rz(2.0339185281696217) q[3];
rx(0.23201361940230053) q[4];
rz(2... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZZI",
"IIIZZII",
"IZIIZII",
"ZIIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-2,
-0.5,
-1,
-0.5,
-1,
-1.5
] | 0.9716 | [
-0.11110714934458206,
-0.005418938813200692,
0.26789078427735563,
0.30319915327301716,
-0.21038265771105338,
0.0322263815959039,
0.4538450578080469,
0.4631222013747248,
0.23201361940230053,
0.7097441236500686,
0.1588386398178482,
-0.4391835547948592,
0.33551123617620476,
-0.270766773880199... | {
"n_parameters": 120,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 171 |
878d094d83cd61d556f3c6e9e2f56136 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 5, "source": 2, ... | {"states": [254, 63], "expectation_value": -12.291655159948053, "params": null, "bitstrings": ["00000001", "11000000"], "total_optimization_steps": 82, "probabilities": [0.13192227736430162, 0.8209440526583788], "optimization_time": 133.95910120010376} | -1.25 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.5 * (Z(6) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(3) @ Z(5)) + -0.75 * (Z(4) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -1.0 * (Z(7) @ Z(5)) + -0.75 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(4)) + -2.5 * Z(1) + -... | 1 | 8 | 1 | {"smallest_eigenvalues": [-13.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.25, "smallest_bitstrings": ["11000000"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.41940174620359777) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.08299545233313925) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[6];
rz(0.02029136466525549) q[6];
cx q[1], q[6];
cx q[1], q[5];
rz(0.026845424308... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[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",
"IIIIIZIZ",
"IZIIIIZI",
"IIZIIIZI",
"IIZIIZII",
"IZZIIIII",
"IIZIZIII",
"IIIZZIII",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIZIIIII",
"ZIIIZIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII"
] | [
-1.25,
-1,
-1.5,
-0.25,
-1.25,
-1.25,
-1,
-0.75,
2.5,
-0.5,
-1,
-0.75,
-0.25,
-2.5,
-0.25,
0.25,
2.75,
-0.25,
0.5,
-0.5,
0
] | 0.970066 | [
-0.41940174620359777,
-0.08299545233313925,
0.02029136466525549,
0.026845424308438882,
-0.1511074400226168,
0.3442445421496284,
0.09946714636891019,
-0.8605793429815163,
0.5448396532517783,
0.8051674819357516,
0.6962537412208902,
1.0029268111275338,
-1.4685811446877874,
-0.6337228587060129... | {
"n_parameters": 49,
"n_qubits": 8,
"optimal_eigenvalue": -13.25,
"target_ratio": 0.97,
"target_value": -12.8525
} | 207 |
-7757969477431106495 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[3, 4, 5], [0, 4], [0, 1, 3], [0, 2], [1, 5], [1, 4], [0, 5]]} | {"states": [38, 52], "expectation_value": -2.152707498021864, "params": null, "bitstrings": ["011001", "001011"], "total_optimization_steps": 37, "probabilities": [0.08072802858358125, 0.7812174131492055], "optimization_time": 37.40959596633911} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.5 ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.499999999999999, "smallest_bitstrings": ["001011"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(-0.09111091586215381) q[3];
cx q[4], q[3];
h q[5];
cx q[4], q[5];
rz(-0.09111091586215381) q[5];
cx q[4], q[5];
cx q[3], q[5];
cx q[4], q[0];
rz(0.7859303096513693) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(0.785930... | 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(1.2292) 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];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IZZIII",
"ZZIIII",
"ZIZIII",
"IZIIIZ",
"IIZIIZ",
"ZIIIIZ",
"IZIIZI",
"IIZIZI",
"ZIIIZI",
"IIIIZZ",
"IIIZIZ",
"IZIIII",
"IIZIII",
"ZIIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666674,
0.3333333333333333,
0.16666666666666674,
0.16666666666666674,
0.16666666666666674,
0
] | 0.552659 | [
-0.09111091586215381,
0.7859303096513693,
1.5740684013032924,
0.07019098985681702,
-0.8346450844076689
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 163 |
585549533217390991 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 4, 5], [3, 5, 6], [0, 1, 2, 4, 6], [0, 1, 4, 5, 7], [3, 5, 7], [6, 7], [0, 5, 6], [0, 1, 2, 7], [1, 3, 7]]} | {"states": [210, 218], "expectation_value": -0.4634137449646314, "params": [[-0.17470000000000002], [0.1689]], "bitstrings": ["00101101", "00100101"], "total_optimization_steps": 20, "probabilities": [0.005692253475513611, 0.005750966834834792], "optimization_time": 1.3512356281280518} | 0.08333333333333333 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.18333333333333335 * (Z(4) @ Z(0)) + 0.41666666666666663 * (Z(5) @ Z(3)) + 0.3 * (Z(5) @ Z(0)) + 0.13333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.21666666666666667 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(4)) + 0.3333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.3166666666666673], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3166666666666664, "smallest_bitstrings": ["00100101"], "largest_eigenvalue": 8.500000000000002} | 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(0.0492092090080668) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.0492092090080668) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.11075745815431841) q[4];
cx q[0], q[4];
h q[5];
cx q[3], q[5];
rz(0.010671479340186219) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"IIZIZIII",
"IIZIIIIZ",
"IIZZIIII",
"IZIIZIII",
"IZIIIIIZ",
"IZIZIIII",
"IZZIIIII",
"IIIIZIZI",
"IIIIIIZZ",
"IIIZIIZI",
"IIZIIIZI",
"IZIIIIZI",
"IIIIIZIZ",
"IIIZIZII",
"IZIIIZII",
"IIIIIZZI",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIIZIIII",
"ZIZIIII... | [
0.08333333333333333,
0.08333333333333333,
0.18333333333333335,
0.41666666666666663,
0.3,
0.13333333333333333,
0.16666666666666666,
0.21666666666666667,
0.05,
0.3333333333333333,
0.16666666666666666,
0.18333333333333335,
0.1,
0.05,
0.05,
0.13333333333333333,
0.05,
0.05,
0.13333333... | 0.972489 | [
0.0492092090080668,
0.11075745815431841,
0.010671479340186219,
-0.08182549606871932,
-0.0707905607167709,
0.03387218838235411,
-0.019100963034432712,
0.04403118522915539,
0.014126128054732779,
0.016656176685119727,
-0.10830248624512542,
-1.5170471884674641,
-1.5716362076135093,
-1.38071203... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -2.3166666666666673,
"target_ratio": 0.97,
"target_value": -2.247166666666667
} | 135 |
-2003614610574528410 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 5], [2, 3, 4], [0, 6], [1, 3]]} | {"states": [13, 76], "expectation_value": -0.019941333758017446, "params": [[0.0591], [-0.0485]], "bitstrings": ["1110010", "0110011"], "total_optimization_steps": 10, "probabilities": [0.00812773587996356, 0.00812773587996356], "optimization_time": 1.2886157035827637} | 0.5 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(5) + 0.16666666666666674 * Z(3) + 0.16666666666666666 * Z(2) + 0.16666666666666666 * Z(4) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.5000000000000002, "smallest_bitstrings": ["0001001", "1100110", "0110011", "0100111", "1110010", "10010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.31001430460817425) q[0];
h q[1];
ry(-0.7059529973756523) q[1];
h q[2];
ry(-0.24520409674356383) q[2];
h q[3];
h q[4];
h q[5];
ry(-0.31001430460817425) q[5];
cx q[3], q[5];
ry(0.31001430460817425) q[5];
cx q[3], q[5];
ry(1.4363537503843464) q[3];
cx q[3], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[3];
rz(x0) q[3];
cx q[5], q[3];
cx q[3], q[2];
rz(x1) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(x1) q[4];
cx q[3], q... | null | {"circuits": [], "gradients": []} | [
"IZIZIII",
"IIIZZII",
"IIZZIII",
"IIZIZII",
"ZIIIIIZ",
"IIIZIZI",
"IZIIIII",
"IIIZIII",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIIIIZ",
"IIIIIZI"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0,
0.16666666666666674,
0.16666666666666666,
0.16666666666666666,
0,
0,
0
] | 0.976442 | [
-0.6200286092163485,
1.4363537503843464,
-1.4119059947513046,
-0.8443682860363719,
0.9725385323511812,
0.07270621288881819,
-0.6441680928957553,
0.3442600358997526,
-0.42220855450026085,
-0.37533944970327476,
-0.22695370570812837,
0.16629670158303325,
-0.49040819348712766,
0.70494931559641... | {
"n_parameters": 42,
"n_qubits": 7,
"optimal_eigenvalue": -1.8333333333333333,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 18 |
cf6781246fc66f87fa6a567e8619e23b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [17, 1], "expectation_value": -6.208371982375844, "params": null, "bitstrings": ["1101110", "1111110"], "total_optimization_steps": 25, "probabilities": [0.2576764967213142, 0.5730478938816137], "optimization_time": 20.177637815475464} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(5)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(4)) + 1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + 0.25 * Z(1) + -0.25 * Z(0) + -1.25 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.75, -6.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.75, "smallest_bitstrings": ["1111110", "1101110"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.33675991249539916) q[0];
h q[1];
ry(-0.8515395949228223) q[1];
h q[2];
h q[3];
ry(-1.5428256682959467) q[3];
rz(-pi) q[4];
ry(-0.10231168646078781) q[4];
ry(-0.054796923753035846) q[5];
rz(-pi) q[5];
h q[6];
cx q[6], q[0];
ry(0.33675991249539916) q[0];
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];\nry(-1.5706) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IZIIIZI",
"IZIIIIZ",
"IIZIIZI",
"IZZIIII",
"IZIIZII",
"IIZIZII",
"ZIIIIIZ",
"ZIZIIII",
"ZIIIZII",
"IZIZIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIZIIII",
"IIIIZII",
"ZIIIIII",
"IIIZIII"
] | [
-0.75,
-0.5,
-0.25,
-0.5,
-0.75,
-0.25,
-0.25,
1.25,
-0.25,
-0.25,
-1,
-0.25,
0.25,
-0.25,
-1.25,
0.5,
0.25,
0.75,
-0.25
] | 0.978102 | [
-1.5428256682959467,
-0.6735198249907983,
1.5130573834326533,
-0.9935783652960206,
-1.7030791898456445,
-1.6641177806211036,
0.02746594902502659,
-0.2747638951084399,
0.6952452953339312,
-0.36325278036379793,
-0.35971473705457196,
0.17518969526177117,
-0.197380008249672,
-0.085975751722793... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 13 |
69144809aea48cb46eae9c3950f24a15 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [0, 2], "expectation_value": -0.049159453746699514, "params": [[0.07060000000000001], [-0.0543]], "bitstrings": ["111", "101"], "total_optimization_steps": 10, "probabilities": [0.1259850229605453, 0.13168746949554103], "optimization_time": 0.5378868579864502} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + -1.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(2) | 1 | 3 | 1 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["101"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.12397642308111168) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.12397642308111168) q[0];
cx q[1], q[0];
rz(-1.0412824378997723) q[0];
rx(-0.6835570607299903) q[0];
rz(0.6551677416149957) q[1];
rx(-0.6835570607299903) q[1];
rz(-1.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
rz(x1) q[0];
rz(x2) q[1];
rz(x1) q[2];
h q[0];
rz(x3) q[0];
h q[0];
h ... | null | {"circuits": [], "gradients": []} | [
"ZZI",
"IZZ",
"IIZ",
"IZI",
"ZII"
] | [
0.5,
0.5,
-1,
-0.5,
-1
] | 0.983631 | [
0.12397642308111168,
-1.0412824378997723,
0.6551677416149958,
-0.6835570607299902,
0.023146836072959226,
-0.5048269617904716,
0.6814886991250588,
-0.7325852103426811,
0.006386053532258323,
-0.47655542685563346,
0.11597712833781966,
-0.2813397718212035
] | {
"n_parameters": 12,
"n_qubits": 3,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
d829d3dc25740419582987a309632564 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [941, 942], "expectation_value": -2.7679940096311015, "params": [[[0.4556, -0.005], [0.9006000000000001, -0.0048000000000000004], [0.8938, -0.0033], [0.9018, 0.019], [-0.0012000000000000001, 0.0119], [0.8499, -0.015600000000000001], [0.07730000000000001, 0.1254], [0.8005, 0.7086], [0.8907, 0.8713000000000001... | 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(... | 15 | 11 | 3 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.8125, "smallest_bitstrings": ["10001001010", "01001010100", "10001010010", "10001010001", "10001110000", "10001100010", "00101100100", "10101100000"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.1093558231367364) q[0];
rz(-pi) q[0];
h q[1];
ry(1.3063478934090202) q[1];
h q[2];
h q[3];
ry(1.3063478934090202) q[3];
rz(-pi) q[4];
ry(-0.024220261271093464) q[4];
h q[5];
ry(-0.5560478043266734) q[5];
cx q[2], q[5];
ry(0.5560478043266734) q[5];
cx q[2], q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIIIIZZZ",
"IIIIIIIZIZZ",
"IIIIIIIZZIZ",
"IIIIIIIZZZI",
"IIIIIIIZZZZ",
"IIIIZZIIIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IIIZZZIIIII",
"IIZIIIIIIIZ",
"IIIIIZIIIZI",
"IZIIIIIIIZI",
"ZIIIIIIII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,... | 0.996988 | [
-1.577554651097011,
-1.5118550807442095,
-1.5348337841016626,
1.3063478934090202,
-1.112095608653347,
0.5935665487721373,
-0.5462486971428474,
0.6223646716727235,
-0.37074864579400013,
0.31066548496500657,
0.002873854753294852,
-0.12036560792865493,
0.28065673768103055,
0.2188224628718053,... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
ad7ba83290870f78ee39f06faaa6d5c0 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [125, 127], "expectation_value": -6.144746033732121, "params": null, "bitstrings": ["10000010", "10000000"], "total_optimization_steps": 59, "probabilities": [0.3669769650464584, 0.3669769650464584], "optimization_time": 71.49815249443054} | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(7)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(6)... | 1 | 8 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["10000000", "10000110", "10000010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.034844011332879614) q[0];
cx q[3], q[0];
h q[4];
cx q[0], q[4];
rz(-0.034844011332879614) q[4];
cx q[0], q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[7];
rz(0.021220240325448322) q[7];
cx q[3], q[7];
cx q[0], q[7];
cx q[3... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIZIIZ",
"IIIZIIIZ",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIZIZI",
"IIIZIIZI",
"ZIIIIIZI",
"IIIIZZII",
"ZIIIIZII",
"IIIIIZZI",
"IIZIZIII",
"IIZIIZII",
"IZZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII"
] | [
-0.25,
-0.25,
-0.75,
0.75,
-0.5,
-0.5,
-0.25,
-0.25,
-1,
-0.25,
-0.5,
-0.75,
-0.75,
-0.25,
1.25,
-0.25,
0,
-1,
1,
0.5,
-1.25,
-0.25
] | 0.970653 | [
-0.034844011332879614,
0.021220240325448322,
4.14081704613734,
-0.02836829097701573,
0.9928839988256033,
-0.7241766421867887,
-0.8495874140952102,
-0.37261573279980825,
-0.7361582307300965,
-0.4162496087713253,
1.820243699490485,
-0.0028210601597248794,
-0.22590816858116236,
0.543504316292... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 461 |
052f5413dadab5b2c2674167b57c0654 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 3}, {"sour... | {"states": [10, 266], "expectation_value": -6.984082188074078, "params": [0.4932, 0.49110000000000004, 0.2918, 0.2887, -0.0018000000000000002, -0.0032, -0.0041, -0.0051, -0.0082, -0.0081, 0.4979, 0.49010000000000004, -0.012700000000000001, -0.0152, 0.4978, 0.4983, -0.0051, -0.0044, 0.4932, 0.49200000000000005, 0.2903, ... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) ... | 13 | 9 | 2 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -7.0, "smallest_bitstrings": ["000111111", "001111101", "111100101", "111100011", "100111011", "011110101", "111110100"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.7624936444500727) q[0];
rz(0.1774067296797337) q[0];
ry(-0.020753711491384386) q[1];
ry(-0.054048693288561184) q[2];
ry(-0.1134815578680047) q[3];
ry(-0.006902121903137645) q[4];
ry(0.5354698883378931) q[5];
ry(-0.11338482250457141) q[6];
ry(0.5149153789724646) q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIZZIII",
"IIIIZIIIZ",
"IIZIIZIII",
"IIZIIIIIZ",
"ZIIIIZIII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIIIZIZI",
"IIIIZIIZI",
"ZIIIIIIZI",
"IIIZIIIZI",
"IIIIZIZII",
"ZIIIIIZII",
"IIIZIIZII",
"IZIIIZIII",
"IZZIIIIII",
"IZIIIIZII",
"IIIIIZIII",
"IIIIIIIIZ",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-1.5,
-2,
-1.5,
-2.5,
-1.5,
-0.5,
-1.5,
-1
] | 0.973998 | [
0.7624936444500727,
-0.020753711491384386,
-0.054048693288561184,
-0.1134815578680047,
-0.006902121903137645,
0.5354698883378931,
-0.11338482250457141,
0.5149153789724646,
-0.10002546380334998,
0.3548134593594674,
0.18840243750516117,
0.27604632890753045,
0.027606506020810034,
-0.269525042... | {
"n_parameters": 67,
"n_qubits": 9,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 6 |
5309148990881866697 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[5, 6], [2, 3], [0, 5], [3, 6], [4, 6], [1, 6], [0, 1], [1, 2]]} | {"states": [108, 46], "expectation_value": -3.2601982925040933, "params": null, "bitstrings": ["0010011", "1010001"], "total_optimization_steps": 57, "probabilities": [0.09974549729020596, 0.7384181773135707], "optimization_time": 54.59859323501587} | 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.0 * Z(6) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(1) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["0101110", "1010001"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[5];
rz(-0.7006067146843641) q[5];
cx q[6], q[5];
cx q[5], q[0];
rz(-0.7006067146843641) q[0];
cx q[5], q[0];
rz(1.0882278633772557e-08) q[5];
rx(0.7853981405970012) q[5];
cx q[6], q[3];
rz(-0.70060671468... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[5], q[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... | [
"ZZIIIII",
"ZIIZIII",
"IIIZZII",
"IZIIIIZ",
"ZIZIIII",
"ZIIIIZI",
"IIIIZZI",
"IIIIIZZ",
"ZIIIIII",
"IZIIIII",
"IIIZIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.429346 | [
-0.7006067146843641,
1.0882278668797176e-8,
0.7853981405970012
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 92 |
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": -0.5455166912946774, "params": [[0.0016, -0.047900000000000005, -0.0726], [-0.060200000000000004, 0.0228, 0.06770000000000001]], "bitstrings": ["1010011", "0001111"], "total_optimization_steps": 10, "probabilities": [0.009826664190492863, 0.009829418082403767], "optimization_t... | 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 | 3 | {"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] 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": []} | [
"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 |
9a45eb902a3c7549ff4006616ccdcfc8 | 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": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capac... | {"states": [0, 1], "expectation_value": -12.210453814790112, "params": [-0.0051, -0.07540000000000001, 0.0018000000000000002, -0.12300000000000001, 0.0005, -0.1316, 0.0031000000000000003, -0.1399, 0.0018000000000000002, -0.1504, 0.0035, -0.15130000000000002, 0.0061, -0.1468, 0.0048000000000000004, -0.1452, 0.0051, -0.1... | -0.75 * (Z(0) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(5)) + 2.5 * (Z(9) @ Z(0)) + -0.75 * (Z(9) @ Z(7)) + -0.25 * (Z(1) @ Z(9)) + -0.5 * (Z(2) @ Z(7)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(8) @ Z(3)) + -0.75 * (Z(8)... | 5 | 10 | 4 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.0465487591115182) q[0];
rz(-0.054586847491374435) q[0];
rx(-0.1985214495657038) q[1];
rz(-0.2908425867473188) q[1];
rx(0.041566599408337825) q[2];
rz(-0.41867102060429406) q[2];
rx(-0.04510065459496522) q[3];
rz(-0.33921164260759795) q[3];
rx(-0.1985214495657038) ... | 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",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIZZIIIII",
"IIZIIIZIII",
"IIZIIIIIIZ",
"IIZIZIIIII",
"ZIIIIIIIIZ",
"ZIZIIIIIII",
"ZIIIIIIIZI",
"IIZIIIIZII",
"IIIIIIIZZI",
"IZIIIIZIII",
"IZIZIIIIII",
"IIIIIZZIII",
"IIIZIZIIII",
"IIZIIZIIII",
"IIIIIZIIZI",
"IIIIIZIZII",
"IZIIIZIIII"... | [
-0.75,
-0.5,
-0.25,
-1.25,
-0.5,
-0.75,
-0.25,
2.5,
-0.75,
-0.25,
-0.5,
-0.75,
-0.25,
-0.75,
-0.75,
-0.75,
-0.5,
-0.75,
-0.5,
-0.75,
-1.75,
-0.25,
-0.5,
0.5,
-0.75,
1.5,
-1.25,
0.75,
-0.25,
2
] | 0.975615 | [
0.046548759111518206,
-0.17727737910191446,
-0.1985214495657038,
-0.3451553415868192,
0.04156659940833782,
-0.511083414233237,
-0.04510065459496522,
-0.36200251669947886,
-0.16440122497836326,
-0.023637616417306703,
-0.09876188395144314,
-0.08558001511529911,
-0.3402928357446867,
0.0750531... | {
"n_parameters": 85,
"n_qubits": 10,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 6 |
082a088e0d8cf5644bb54063ea0af58e | 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": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [0, 1984], "expectation_value": -25.221419870508665, "params": [[[0.0027, 0.0006000000000000001], [0.0023, 0.0078000000000000005], [0.0027, 0.0026000000000000003], [0.0027, 0.0059], [1.6005, 0.0037], [1.1747, 0.0046], [0.0019, 0.008], [0.002, 0.005200000000000001], [0.0027, 0.0058000000000000005], [-0.0027, ... | -2.5 * (Z(0) @ Z(2)) + 1.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(0)) + -2.5 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(3)) + -2.5 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(5)) + -2.5 * (Z(6) @ Z(8)) + 0.5 ... | 2 | 11 | 1 | {"smallest_eigenvalues": [-28.0, -28.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -27.0, "smallest_bitstrings": ["00000100010", "00000111111"], "largest_eigenvalue": 38.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.6443783818664842) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-0.39747829702790893) q[3];
cx q[2], q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(-0.6443783818664842) q[1];
cx q[2], q[1];
rz(-0.6443783818664842) q[3];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIZIZII",
"IIIIIIZIIIZ",
"IIIIIIZZIII",
"IIIIIIZIIZI",
"IIZIIZIIIII",
"IZZIIIIIIII",
"IZIIIZIIIII",
"IIZIZIIIIII",
"IZIIZIIIIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"ZIIIZIIIIII",
"IIZZIIIII... | [
-2.5,
1.5,
-2.5,
-2.5,
1,
-2.5,
-2.5,
1,
-2.5,
-2,
0.5,
1,
0.5,
-2.5,
0.5,
-3,
-2.5,
-2,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-3,
-1.5,
-2,
1,
1.5,
1
] | 0.610488 | [
-0.6443783818664842,
-0.39747829702790893,
-0.236227196898351,
-0.907683423969439,
-0.07000419797907183,
-0.6502925705552637,
-1.610177123055441,
-1.0025220798506207
] | {
"n_parameters": 8,
"n_qubits": 11,
"optimal_eigenvalue": -28,
"target_ratio": 0.97,
"target_value": -27.16
} | 196 |
bb51b85a8f0cca1e878093cb2d4e9f25 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [18, 3], "expectation_value": -14.842345072431947, "params": null, "bitstrings": ["101101", "111100"], "total_optimization_steps": 51, "probabilities": [0.10238766939330543, 0.5694301130604257], "optimization_time": 61.683356285095215} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.25 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 ... | 14 | 6 | 4 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0578548521713938) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0578548521713938) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0578548521713938) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0578548521713938) q[3];
cx q[1], q[3];
cx... | null | {"k": 4} | {"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(-0.069) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIIZZ",
"IIIZZI",
"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,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
-6,
-5.75,
-6,
-5.75,
-5.25,
-5.25
] | 0.970515 | [
0.0578548521713938,
-0.5965324608541779,
0.14798932566828993,
0.42484350980591923,
-0.9272829572068437,
-0.04010345398285296,
-1.1578923267991272,
-0.46130283317179,
-1.0852932021567716,
0.9461273837682691,
-0.03445215865394413,
-1.0967217839356491,
-0.4607238774334183,
0.35636944727550446... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 112 |
7680662388352622551 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 6], [0, 2, 4, 5, 8, 9], [0, 1, 2, 3, 5, 8], [1, 3, 5, 6], [1, 3, 6, 7, 9], [11, 5, 6, 7], [1, 4, 5, 6, 10], [0, 1, 3, 6, 11], [8, 10, 11], [1, 5, 8, 9, 11], [1, 2, 4, 5, 7, 8], [1, 5, 8, 9, 10], [1, 2, 3, 4, 7, 8], [1, 4, 5, 7, 9, 10], [9, 2, 7], [0, ... | {"states": [2302, 2558], "expectation_value": -4.003021152955567, "params": [2.1001000000000003, 0.6577000000000001, 0.7220000000000001, 0.7873, 0.5044000000000001, 0.8642000000000001, 1.0387, -0.45420000000000005, 1.9455, 0.0031000000000000003, 2.0855, -0.0021000000000000003, 2.0423, -0.0033, 2.091, -0.0033, 2.0998, -... | 0.5 * (Z(2) @ Z(6)) + 0.1 * (Z(0) @ Z(6)) + 0.1 * (Z(0) @ Z(2)) + 0.05 * (Z(4) @ Z(6)) + 0.18333333333333335 * (Z(4) @ Z(2)) + 0.06666666666666667 * (Z(4) @ Z(0)) + 0.21666666666666667 * (Z(5) @ Z(6)) + 0.13333333333333333 * (Z(5) @ Z(2)) + 0.1 * (Z(5) @ Z(0)) + 0.15 * (Z(5) @ Z(4)) + 0.13333333333333333 * (Z(8) @ Z(2)... | 4 | 12 | 1 | {"smallest_eigenvalues": [-5.016666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.999999999999999, "smallest_bitstrings": ["011000000001"], "largest_eigenvalue": 21.499999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-2.9423357430101125) q[0];
rz(1.97399381662889) q[0];
rx(-0.16568651901328746) q[1];
rz(1.9768537573239335) q[1];
rx(0.14921310748624134) q[2];
rz(2.0370846343115607) q[2];
rx(1.6857714764273573) q[3];
rz(1.9493952452310683) q[3];
rx(1.869419858241872) q[4];
rz(1.69... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IIIIIZIIIZII",
"IIIIIZIIIIIZ",
"IIIIIIIIIZIZ",
"IIIIIZIZIIII",
"IIIIIIIZIZII",
"IIIIIIIZIIIZ",
"IIIIIZZIIIII",
"IIIIIIZIIZII",
"IIIIIIZIIIIZ",
"IIIIIIZZIIII",
"IIIZIIIIIZII",
"IIIZIIIIIIIZ",
"IIIZIIIZIIII",
"IIIZIIZIIIII",
"IIZIIZIIIIII",
"IIZIIIIIIZII",
"IIZIIIIIIIIZ",
"IIZIIIIZI... | [
0.5,
0.1,
0.1,
0.05,
0.18333333333333335,
0.06666666666666667,
0.21666666666666667,
0.13333333333333333,
0.1,
0.15,
0.13333333333333333,
0.1,
0.13333333333333333,
0.25,
0.15000000000000002,
0.19999999999999998,
0.11666666666666667,
0.15,
0.21666666666666667,
0.21666666666666667... | 0.976373 | [
3.340849564169474,
0.4031974898339932,
-0.16568651901328743,
0.4060574305290368,
0.14921310748624136,
0.46628830751666406,
1.6857714764273573,
0.37859891843617244,
1.869419858241872,
0.12638917089987348,
2.170734333032161,
-0.10758844796983975,
2.5269059185295424,
-0.05045583434157379,
1... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -5.016666666666667,
"target_ratio": 0.97,
"target_value": -4.8661666666666665
} | 17 |
59b55089c15cad6a91f754f2be38a436 | 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": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [687, 685], "expectation_value": -2.4962307213711106, "params": [[[0.007200000000000001, 0.0061], [0.0286, 0.0089], [0.7348, 0.033], [0.0245, -0.0273], [0.7453000000000001, -0.1331], [0.2812, -0.111], [-0.3265, 0.8956000000000001], [-0.20320000000000002, 0.46330000000000005], [0.3632, 0.8983000000000001], [0... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(4) @ Z(2)) + -0.125 * (Z(0) @ Z(4) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(4) @ Z(2... | 15 | 10 | 4 | {"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, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.25, "smallest_bitstrings": ["0101001100", "0100101100", "0101010010", "0110001100", "0110001001", "0111010000", "011... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-2.930992925974156) q[0];
rz(-2.0505334193883) q[0];
rx(0.09974558989948948) q[1];
rz(-0.021916551230833636) q[1];
cx q[1], q[0];
rz(0.7487040703349622) q[0];
cx q[1], q[0];
rz(0.03143390177930412) q[1];
rx(3.064188251569036) q[2];
rz(1.260785857636634) q[2];
rx(3.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIZZIZ",
"IIIIIZIZIZ",
"IIIIIZZIIZ",
"IIIIIZZZII",
"IIIIIZZZIZ",
"IIIZZIIIII",
"IIZIIIIZII",
"IZIIIIIZII",
"IZZIIIIIII",
"IZZIIIIZII",
"IIZIZIIIII",
"ZIIIZIIIII",
"ZIZIIIIIII"... | [
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,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.125,
-0.125,
0.1... | 0.978586 | [
3.352192381205431,
-1.3018293490533377,
0.09974558989948948,
-0.021916551230833636,
3.064188251569036,
1.0242823876125022,
3.1401663157651902,
-0.039487779968993025,
-0.24892087794353424,
0.13415136123448565,
3.4156926946764425,
0.5404877583717977,
0.05848107904958504,
0.21099505519505057,... | {
"n_parameters": 28,
"n_qubits": 10,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 50 |
a7b6961c0e010c5cd9220aed7c02d87e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 2, "target": 1}, {"capaci... | {"states": [10, 11], "expectation_value": -4.999986795282007, "params": null, "bitstrings": ["110101", "110100"], "total_optimization_steps": 20, "probabilities": [1.808493766232e-06, 0.9999959237008993], "optimization_time": 16.14246916770935} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + 1.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.75 * Z(2) + 0.25 ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["110100"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.001959798150095337) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.001959798150095337) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.3815866551963541) q[2];
cx q[1], q[2];
rz(0.3815866551963541) q[3];
cx q[0], q[3]... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5486) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IIIZZI",
"IIZZII",
"ZIIIIZ",
"ZIIZII",
"IZIIZI",
"IZZIII",
"IZIZII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IIIZII",
"ZIIIII",
"IZIIII"
] | [
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
1,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.75,
-0.25,
-0.75,
0.75,
0.25,
0.75
] | 0.685194 | [
0.001959798150095337,
0.3815866551963541,
-0.02024676984199178,
1.5645802848410972,
-1.559643606159173,
-1.5674598134785187,
1.542213756241811
] | {
"n_parameters": 7,
"n_qubits": 6,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 175 |
d818fda00fd32b5d1f2df2162e297b77 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"sour... | {"states": [433, 305], "expectation_value": -8.240006086393997, "params": [0.4021, 0.39880000000000004, 0.17170000000000002, 0.1691, -0.0022, -0.0016, 0.39780000000000004, 0.40140000000000003, 0.39780000000000004, 0.39940000000000003, -0.0109, -0.0024000000000000002, 0.004, 0.0049, -0.0078000000000000005, -0.0033, 0.35... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) ... | 14 | 9 | 3 | {"smallest_eigenvalues": [-9.0, -9.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.0, "smallest_bitstrings": ["001001111", "011001110"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.580540901199165) q[0];
rz(pi/2) q[0];
ry(-0.10382118484708375) q[1];
ry(0.03243845131839321) q[2];
ry(0.4967767194241754) q[3];
ry(0.4967767194241754) q[4];
ry(-0.1075054682352399) q[5];
ry(-0.02000142274267673) q[6];
ry(0.03371558612561613) q[7];
ry(0.355004173026... | 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] 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 flo... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIZZIIIII",
"IZIIIIZII",
"IZIIIIIIZ",
"IZZIIIIII",
"IIIIIIZZI",
"IIIZIIIZI",
"ZIZIIIIII",
"ZZIIIIIII",
"ZIIIIIIZI",
"IIIIIZZII",
"IIIZIZIII",
"IIZIIZIII",
"IZIIIZIII",
"IIIIZIZII",
"IIIZZIIII",
"IIZIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"... | [
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,
-1.5,
-2,
-2.5,
-2,
-1,
-1,
-1.5,
-1
] | 0.975274 | [
0.580540901199165,
-0.10382118484708375,
0.03243845131839321,
0.4967767194241754,
-0.1075054682352399,
-0.02000142274267673,
0.03371558612561613,
0.35500417302632614,
0.08563195040262576,
-0.19844347568913384,
-0.19811051657629664,
-0.06629154378253448,
-0.0480940436870959,
0.0374804476123... | {
"n_parameters": 102,
"n_qubits": 9,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 10 |
-7333735790520678795 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[2, 3, 4], [0, 1, 2, 4], [0, 1, 3]]} | {"states": [19, 22], "expectation_value": -0.017853875101860418, "params": [[-0.0669], [0.06910000000000001]], "bitstrings": ["01100", "01001"], "total_optimization_steps": 10, "probabilities": [0.03202034406390325, 0.032020344063903264], "optimization_time": 1.1906793117523193} | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z... | 1 | 5 | 1 | {"smallest_eigenvalues": [-0.8333333333333334, -0.8333333333333334, -0.8333333333333334], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.8333333333333333, "smallest_bitstrings": ["10001", "01100", "01001"], "largest_eigenvalue": 2.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(0.5571606446701035) q[0];
rz(0.913469341156564) q[0];
rx(3.150365670815195) q[1];
rz(-1.0973025329326103) q[1];
rx(3.185614512471872) q[2];
rz(0.7418489491607383) q[2];
rx(3.135138385360903) q[3];
rz(0.3190742028707837) q[3];
rx(-0.24754132733389023) q[4];
rz(-0.1113... | 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[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4];
cx q[2], q[4];... | null | {"circuits": [], "gradients": []} | [
"IZZII",
"ZZIII",
"ZIZII",
"IZIIZ",
"IIZIZ",
"ZIIIZ",
"IZIZI",
"IIZZI",
"ZIIZI",
"IIIZZ",
"IZIII",
"IIZII",
"ZIIII",
"IIIIZ",
"IIIZI"
] | [
0.16666666666666666,
0.16666666666666666,
0.25,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.25,
0.3333333333333333,
0.29166666666666663,
0.29166666666666663,
0.29166666666666663,
0.29166666666666663
] | 0.971845 | [
0.5571606446701035,
0.913469341156564,
3.150365670815195,
-1.0973025329326103,
3.185614512471872,
0.7418489491607383,
3.135138385360903,
0.3190742028707837,
-0.24754132733389023,
-0.11136453892163678
] | {
"n_parameters": 10,
"n_qubits": 5,
"optimal_eigenvalue": -0.8333333333333334,
"target_ratio": 0.97,
"target_value": -0.8083333333333333
} | 17 |
904a2660d429b6f5e4d7bf41f7596568 | 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": [238, 110], "expectation_value": -59.6322545158905, "params": [1.4965000000000002, 0.0051, 2.9998, 0.0054, 2.9837000000000002, 0.0058000000000000005, 1.1396, 0.0038, 2.9987000000000004, 0.0098, 2.9909000000000003, 0.0037, 2.9917000000000002, 0.0031000000000000003, 0.6199, 0.0081, 0.0064, 0.0037, 0.0031000000... | 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(5)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(6) @ Z(0)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(7) @ Z(6)) + 10.0 * Z(0) + 13.0 * Z(2) + 14.5 * Z(1) + 14.0 * Z(5) + 7.5 * Z(3) + 15.5 * Z(... | 18 | 8 | 1 | {"smallest_eigenvalues": [-73.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.0, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 146.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.6038718550621607) q[0];
rz(0.3629168207297049) q[0];
rx(3.135717675481253) q[1];
rz(-0.1466430274375361) q[1];
rx(2.9898042139281706) q[2];
rz(0.14801349287023557) q[2];
rx(0.11985690698629012) q[3];
rz(0.24946819306933415) q[3];
rx(3.2870143678919153) 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], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIZIIZII",
"IIIIZIZI",
"IIZIZIII",
"IIZZIIII",
"IIIZZIII",
"IZIIIIIZ",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIZIIIII",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
10,
13,
14.5,
14,
7.5,
15.5,
8.5,
2.5
] | 0.977432 | [
0.6038718550621606,
0.4440140535517014,
3.135717675481253,
-0.1466430274375361,
2.9898042139281706,
0.14801349287023557,
0.11985690698629012,
0.24946819306933415,
3.2870143678919153,
-0.30056580233244473,
3.0591802910252244,
0.04743141211631588,
3.035500500918557,
-0.14382737968382536,
-... | {
"n_parameters": 21,
"n_qubits": 8,
"optimal_eigenvalue": -73,
"target_ratio": 0.97,
"target_value": -70.81
} | 12 |
9720f25e266b706fd55bd4bfdba0ffde | 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": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 7}, {"capac... | {"states": [1, 3], "expectation_value": -12.853550472893167, "params": [0.0004, -0.2422, -0.006200000000000001, -0.3194, -0.0037, -0.3357, -0.00030000000000000003, -0.3634, -0.0009000000000000001, -0.37060000000000004, -0.0047, -0.36810000000000004, -0.005200000000000001, -0.27, 0.0013000000000000002, -0.36160000000000... | -0.75 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(7)) + -0.75 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(6)) + 2.25 * (Z(9)... | 5 | 10 | 2 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["1111111100"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.0741408341554137) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0741408341554137) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.0741408341554137) q[4];
cx q[0], q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(0.0741408341554137... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IIZIIIIIIZ",
"IIIIIIIZZI",
"IIZIIIZIII",
"IIIIIIZIZI",
"IIIZIIIZII",
"IIIZIZIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"IIIIZIIIZI",
"IIIIZIZIII",
"IIIZZIIIII",
"ZIIIIIIIIZ",
"ZIIIZIIIII",
"IZIIIZIIII",
"IZIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ"... | [
-0.75,
-0.75,
-0.5,
-0.75,
-0.25,
-0.5,
-0.75,
-0.5,
-0.75,
-0.75,
-0.5,
-1.25,
-0.75,
2.25,
-0.5,
-0.25,
-0.5,
-0.75,
0.75,
-0.25,
-0.5,
-0.75,
-0.75,
0,
-2.25,
1.25,
1,
1.5
] | 0.564688 | [
0.0741408341554137,
0.06197621550383271,
0.8086916345890799,
0.010946235500505016,
-0.03592061105577804,
1.552574919162176,
-1.5523953814026779,
1.5503243587487994,
-1.5582433635244757,
-1.5678293876828788,
-1.5566907403451635,
1.5065492327598238
] | {
"n_parameters": 12,
"n_qubits": 10,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 327 |
a420edfdaf22a318558585a067a875f5 | 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": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3},... | {"states": [2041, 2040], "expectation_value": -17.744397531977803, "params": [[[-1.1298000000000001, 2.3251], [-0.0035, 0.8179000000000001], [-0.0029000000000000002, -0.0026000000000000003], [-0.0023, -0.0027], [-0.0023, 0.0022], [-0.0028, -0.0027], [-0.0032, -0.0031000000000000003], [-0.0025, -0.0027], [-0.00210000000... | -2.0 * (Z(0) @ Z(3)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(4) @ Z(5)) + -2.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + 0.... | 15 | 11 | 1 | {"smallest_eigenvalues": [-19.5, -19.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -18.5, "smallest_bitstrings": ["00000000111", "00000000001"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.344499253630263) q[0];
ry(0.006207034807778095) q[1];
ry(0.009085652083462037) q[2];
ry(0.03526095686257387) q[3];
ry(0.03526095686257387) q[4];
ry(-0.008641162501495409) q[5];
ry(0.12355199159052505) q[6];
ry(0.10156937516728469) q[7];
ry(0.07671079075644505) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"node": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IIIIIIIZIZI",
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIZZIIII",
"IIIZIZIIIII",
"IIIZIIZIIII",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IIIZZIIIIII",
"IZZIIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIZIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIIZII",
"IIIIIZIII... | [
-2,
-2,
0.5,
-2,
0.5,
-1.5,
-1.5,
-2,
-2,
0.5,
0.5,
-2,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
-1
] | 0.971786 | [
-0.344499253630263,
0.006207034807778095,
0.009085652083462037,
0.03526095686257387,
-0.008641162501495409,
0.12355199159052505,
0.10156937516728469,
0.07671079075644505,
2.2035095090994363,
0.12720357785865957,
3.1944310290692437,
0.034970720056711944,
-0.07038301103365377,
0.025670043688... | {
"n_parameters": 18,
"n_qubits": 11,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 19 |
bf94e6406551047eb54e98577948dda2 | 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": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"sour... | {"states": [0, 7], "expectation_value": -15.541650608184192, "params": [[[0.0024000000000000002, 0.0012000000000000001, 0.0037, 0.0046], [0.0027, 0.0012000000000000001, 0.0026000000000000003, 0.0012000000000000001], [0.0024000000000000002, 1.1756, 0.0024000000000000002, 0.004], [0.0022, -0.024800000000000003, 0.0022, 0... | -2.0 * (Z(0) @ Z(1)) + -3.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + 1.5 * Z(1) + -2.0 * Z(0) + -2.5 * Z(3) + -2.0 * Z... | 11 | 8 | 1 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.8209783381151133) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.42611973320836577) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.18222129726085273) q[2];
cx q[1], q[2];
rz(0.14707287566983435) q[3];
cx q[0], 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[... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZZIII",
"IIIZIZII",
"IZZIIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-2,
-3,
1,
0.5,
0.5,
-2.5,
0.5,
-2.5,
-2,
-1.5,
0.5,
-1.5,
1.5,
-2,
-2.5,
-2,
1.5,
0.5,
0.5,
0.5
] | 0.573288 | [
0.8209783381151133,
0.42611973320836577,
0.14707287566983435,
0.18222129726085273,
0.6697450513039219,
1.075441192615211,
0.3091718356189598,
0.9747450994580911
] | {
"n_parameters": 8,
"n_qubits": 8,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 184 |
-1683846490587467933 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 6], [1, 2, 3, 4], [3, 5], [0, 2, 5, 6], [2, 3, 4, 6]]} | {"states": [23, 118], "expectation_value": -0.585964779684956, "params": [[0.36660000000000004], [-0.35250000000000004]], "bitstrings": ["1101000", "0001001"], "total_optimization_steps": 40, "probabilities": [0.019753781808265723, 0.019888884828930805], "optimization_time": 3.7036333084106445} | 0.5 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(6)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(6)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6666666666666665, "smallest_bitstrings": ["0001001"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[1];
rz(3.141592760610318) q[1];
cx q[6], q[1];
cx q[6], q[2];
rz(3.30231040073278e-08) q[2];
cx q[6], q[2];
cx q[1], q[2];
rz(1.0615791072845724e-08) q[2];
cx q[1], q[2];
cx q[6], q[3];
rz(1.061579107284... | 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[6], q[1];
rz(x0) q[1];
cx q[6], q[1];
cx q[6], q[2];
rz(x1)... | null | {"circuits": [], "gradients": []} | [
"ZIIIIZI",
"ZIIIZII",
"IIIIZZI",
"ZIIZIII",
"IIIZIZI",
"IIIZZII",
"ZIZIIII",
"IIZIIZI",
"IIZIZII",
"IIZZIII",
"ZZIIIII",
"IZIIZII",
"IZIZIII",
"ZIIIIIZ",
"IIIIZIZ",
"IZIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIIIZ"
] | [
0.5,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.0... | 0.95 | [
3.141592760610318,
3.30231040073278e-8,
1.0615791072845724e-8,
1.57079628032103,
-1.5707963023090485,
1.570796293345763,
-1.570796366994958
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -1.666666666666667,
"target_ratio": 0.97,
"target_value": -1.616666666666667
} | 206 |
f20b14ccaf46fd91ed39b9c05edbe906 | 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": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target"... | {"states": [53, 78], "expectation_value": -0.028544669564749204, "params": [[-0.0408, 0.043000000000000003], [0.0629, -0.022000000000000002]], "bitstrings": ["1001010", "0110001"], "total_optimization_steps": 10, "probabilities": [0.008183814824023302, 0.008183814824023321], "optimization_time": 5.374711275100708} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(0) @ Z(6)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.12... | 1 | 7 | 2 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -1.125, "smallest_bitstrings": ["1010001", "1001010", "0110001", "1110000", "1011000", "0101100", "1010010", "0110100", "1001100"], "largest_eigenvalue": 4.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-pi) q[0];
ry(-3.041947219049351) q[0];
h q[1];
ry(1.6318833541680478) q[1];
h q[2];
ry(-0.7379926998527211) q[2];
h q[3];
h q[4];
ry(0.8376298721779702) q[4];
cx q[1], q[4];
ry(-0.8376298721779702) q[4];
cx q[1], q[4];
h q[5];
ry(-0.7147883140515682) q[5];
h 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] 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": []} | [
"IIIIIZZ",
"IIIZZII",
"IIZIZII",
"IZIIZII",
"IZZIIII",
"IZZIZII",
"IIZIIIZ",
"ZIIIIIZ",
"ZIZIIII",
"ZIZIIIZ",
"IIIZIZI",
"IZIIIZI",
"ZIIIIZI",
"IZIZIII",
"ZIIZIII",
"ZZIIIII",
"IZIZIZI",
"ZIIZIZI",
"ZZIIIZI",
"ZZIZIII",
"ZZIZIZI",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"III... | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.25,
-0.125,
-0.25,
-0.125,
0,
0.125,
0.125
] | 0.991552 | [
1.626920252534508,
1.6318833541680478,
1.6752597443559405,
1.4055255953993955,
-1.4295766281031363,
1.526293908737557,
1.4857719885790526,
-1.4759853997054422,
1.5056411906827167,
-0.1302135460495614,
0.288295705195563,
0.02259902731407358,
0.052822537266667954,
0.02672121721962814,
-0.1... | {
"n_parameters": 24,
"n_qubits": 11,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
6913e77a092e6b8e92c97148a6d379f5 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [41, 21], "expectation_value": -0.021001771010158404, "params": [[0.0317], [-0.020800000000000003]], "bitstrings": ["010110", "101010"], "total_optimization_steps": 10, "probabilities": [0.01583174423850937, 0.015872590118470264], "optimization_time": 1.0667986869812012} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + 0.0 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + -0.5 * Z(3) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["101010", "011010", "010110"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.062346765897915706) q[0];
rz(-0.07861393323966848) q[0];
rx(2.8930871888684693) q[1];
rz(-0.5035763423869778) q[1];
rx(3.065918378176062) q[2];
rz(-0.12390964307312333) q[2];
rx(0.1645274144132281) q[3];
rz(-0.4200180781615156) q[3];
rx(3.3932273417708734) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[1... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IZIIZI",
"IZIZII",
"IIZZII",
"IZZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-1,
-1.5,
-0.5,
0
] | 0.981137 | [
0.06234676589791571,
0.05049997120834073,
2.8930871888684693,
-0.5035763423869778,
3.065918378176062,
-0.12390964307312333,
0.1645274144132281,
-0.4200180781615156,
3.3932273417708734,
0.5128971855755327,
0.717543276190233,
0.1258080823171311,
0.5432549077788699,
-0.25822780889601854,
0.... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 19 |
ee0f00774b6823d75df9b3d1e8947ebf | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [36, 96], "expectation_value": -5.973037878567778, "params": null, "bitstrings": ["1011011", "0011111"], "total_optimization_steps": 17, "probabilities": [0.07436440049517294, 0.8991250369535025], "optimization_time": 17.162708044052124} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.0, "smallest_bitstrings": ["0111110", "1011011", "1010111", "0011111", "1111001", "1001111"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.1787346229022353) q[0];
rz(1.85169983106438) q[0];
rx(0.6446082778184011) q[1];
rz(1.5337435650242206) q[1];
rx(0.13258855509394268) q[2];
rz(1.742289834858898) q[2];
rx(0.5349338935732003) q[3];
rz(1.4181180172739278) q[3];
rx(0.6230789562836189) q[4];
rz(1.533743... | 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[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZIIIIZ",
"IZIZIII",
"IZIIIZI",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"ZIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-2,
-1.5,
-2,
-0.5,
-2
] | 0.972431 | [
0.1787346229022353,
0.28090350426948285,
0.6446082778184011,
-0.037052761770675964,
0.13258855509394268,
0.17149350806400154,
0.5349338935732003,
-0.1526783095209684,
0.6230789562836189,
-0.03478400855838438,
0.05603757244408017,
-0.07156855077521751,
0.19573188402464922,
-0.39890063889249... | {
"n_parameters": 77,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 9 |
28550855a20366800e3fd917bf6489e0 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [17, 1], "expectation_value": -5.062217743352777, "params": null, "bitstrings": ["11101110", "11111110"], "total_optimization_steps": 27, "probabilities": [0.15063236032211283, 0.6761288203102811], "optimization_time": 28.24468207359314} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(5)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["11101110", "11111110", "11100110", "10000000"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.15216926898181918) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.15216926898181918) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(0.05788856062893183) q[5];
cx q[0], q[5];
cx q[2], q[5];
rz(0.15216926898181918) q[5... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.5486) q[7], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIZIIIIZ",
"IIZIIZII",
"IZIIIIZI",
"IZIIIZII",
"IZZIIIII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZZIIIIII",
"ZIIIZIII",
"IIIZIIZI",
"IIZZIIII",
"IZIZIIII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIZIII",
"IIIZIII... | [
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.75,
1.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
0,
-0.25,
0.25,
0,
-0.75,
0.25,
0,
0.5
] | 0.970246 | [
0.15216926898181918,
0.05788856062893183,
-0.39706471093018897,
-0.4983538334088068,
-0.6196842796802551,
-0.8562234492096112,
-0.7118375263136241,
1.5192229975930538,
0.31351551366482816,
0.21708871535439847,
-0.41629988721034344,
-1.1950335447601863,
-0.3996149728763092,
-0.3579384860504... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 333 |
7d8b3d8ceec2d81b644dfcbc98592f50 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [33, 48], "expectation_value": -3.973037742586125, "params": null, "bitstrings": ["011110", "001111"], "total_optimization_steps": 16, "probabilities": [0.07436458640658362, 0.8991243516134904], "optimization_time": 12.67185115814209} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(2) + 0.0 * Z(0) + -1.5 * Z(1) + -1.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["110110", "011101", "011110", "001111", "011011"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.39269904215198215) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[1];
rz(-0.39269904215198215) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.39269904215198215) q[2];
cx q[3], q[2];
h q[4];
cx q[4], q[1];
rz(-0.39269904215198215) q[1];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIIZZI",
"IIZZII",
"IIZIZI",
"IZIZII",
"IZIIZI",
"IZZIII",
"ZIIIZI",
"ZIZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1.5,
-1.5,
-1.5,
-1
] | 0.521773 | [
-0.39269904215198215,
0.39269904771702413,
-0.785398098795778,
0.7853982839147303,
1.9634955101122697,
0.7016820247458506
] | {
"n_parameters": 6,
"n_qubits": 10,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 155 |
9e3fd441307ea46e321a51e29b173f1a | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 3, "source": 3, "target": 1}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [231, 239], "expectation_value": -16.71400978746558, "params": [0.0027, 1.7579, 0.0002, 1.7462, -0.0026000000000000003, 1.1777, 1.2966, 0.2013, 1.5729, 0.0021000000000000003, 1.5656, 0.003, -0.0025, -1.2691000000000001, 0.7722, -0.4117, 1.6083, -0.0094, 2.1101, 0.001, 0.9374, 0.004, 0.0027, 0.006800000000000... | 2.0 * (Z(4) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(10) @ Z(6)) + 1.0 * (Z(10) @ Z(9)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(9)) + -0.5 * (Z(2) @ Z(10)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(6)) + -... | 16 | 11 | 2 | {"smallest_eigenvalues": [-17.25, -17.25, -17.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -16.25, "smallest_bitstrings": ["11000000000", "11010010000", "11100010000"], "largest_eigenvalue": 55.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.000890822842480871) q[0];
rz(pi/2) q[0];
ry(-0.15670603725100302) q[1];
ry(-0.20648486180727027) q[2];
ry(0.45144887671116174) q[3];
ry(0.34931390918915306) q[4];
ry(0.14890652132398377) q[5];
ry(0.14818692661575433) q[6];
ry(0.44502625653055666) q[7];
ry(0.424953... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IZIIZIIIIII",
"ZIIIZIIIIII",
"ZZIIIIIIIII",
"IIIIIZIIZII",
"IIIIIIZIZII",
"IIIIZIIIZII",
"IZIIIIIIZII",
"ZIIIIIIIZII",
"IIIIIZIZIII",
"IIIIIIZZIII",
"IIIIZIIZIII",
"IZIIIIIZIII",
"ZIIIIIIZIII",
"IIIIIIIZZII",
"IIIZIZIIIII",
"IIIZIIZII... | [
2,
1,
0.5,
0.5,
0.5,
1,
-1,
-0.5,
-1,
-0.5,
-0.5,
-1,
-0.5,
-1,
-0.5,
-0.5,
1,
1,
0.5,
0.5,
-0.5,
-0.5,
2,
1,
1,
-1,
-1,
1,
-0.25,
8,
4,
3,
1.5,
1.5,
-3,
-3,
2.5,
5,
-0.5,
-0.5
] | 0.971849 | [
0.000890822842480871,
-0.15670603725100302,
-0.20648486180727027,
0.45144887671116174,
0.34931390918915306,
0.14890652132398377,
0.14818692661575433,
0.44502625653055666,
0.4249533755281996,
0.25680042464988484,
0.4419502268595168,
0.1799489528204672,
-0.37170555535813404,
-0.0445425003681... | {
"n_parameters": 129,
"n_qubits": 11,
"optimal_eigenvalue": -17.25,
"target_ratio": 0.97,
"target_value": -16.732499999999998
} | 11 |
0541faf635a6399f550a5b5935bfa17a | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [502, 733], "expectation_value": -0.15526547137983965, "params": [[-0.0616, -0.0449, 0.048400000000000006], [0.07730000000000001, 0.07010000000000001, 0.013900000000000001]], "bitstrings": ["1000001001", "0100100010"], "total_optimization_steps": 10, "probabilities": [0.0013743704713961734, 0.001374570090763... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 1 | 10 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100010100", "0011000010", "1000001001", "0010011000", "0100100010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2586347423333518) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.2586347423333518) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2586347423333518) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(0.2586347423333518) q[2];
cx q[3], q[2];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIIZZIIZ",
"IIIIZIZIIZ",
"IIIIZZIIIZ",
"IIIIZZZIII",
"IIIIZZZIIZ",
"IIZZIIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IZZZIIIIII",
"IIIIIIZIZI"... | [
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,
0.25,
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,
0.2... | 0.849143 | [
0.2586347423333518,
-0.9522193741903392,
-0.4483492681819256,
-1.0023321824572908,
0.8794944450881496,
-1.7734914868935794,
-1.1441282434786142,
-0.46313879118016416
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 241 |
dc8ac5f82febba9dcace181eb5c76eb3 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": ... | {"states": [58, 102], "expectation_value": -2.8905700275954436, "params": null, "bitstrings": ["1000101", "0011001"], "total_optimization_steps": 42, "probabilities": [0.08381860736615872, 0.6201950117718926], "optimization_time": 54.759886741638184} | 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(0) @ Z(3)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ 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(1) @ Z(3)) + -0.125 * (Z(1) @ Z(3) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.375, -3.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.375, "smallest_bitstrings": ["0011001", "1000101"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.009159858931667007) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.009159858931667007) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.009159858931667007) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.009159858931667007) q[4];
c... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[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", ... | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IIIZIZI",
"IIZIIZI",
"IZIIIZI",
"IIZZIII",
"IZIZIII",
"IZZIIII",
"IIZZIZI",
"IZIZIZI",
"IZZIIZI",
"IZZZIII",
"IZZZIZI",
"IIZIZII",
"ZZIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZII... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
-0.25,
0.125,
-0.25,
-0.125,
-0.125,
-0.125,
-1
] | 0.813356 | [
0.009159858931667007,
0.12494940013551502,
-0.9996743752342083,
-1.0785898614158156,
0.2672658208067165,
1.0891742212764537,
-1.2802161128055969,
0.024697662159371404,
0.6853541264808383,
-0.33614577142982505,
-0.6001841465958335,
0.46393008337570263,
0.1161236905431224,
-0.536284086667138... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 415 |
f20b14ccaf46fd91ed39b9c05edbe906 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target"... | {"states": [78, 46], "expectation_value": -1.8264666766165711, "params": null, "bitstrings": ["0110001", "1010001"], "total_optimization_steps": 55, "probabilities": [0.08695454096584285, 0.7299681582743718], "optimization_time": 86.29898762702942} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(0) @ Z(6)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.12... | 1 | 7 | 4 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -1.125, "smallest_bitstrings": ["1010001", "1001010", "0110001", "1110000", "1011000", "0101100", "1010010", "0110100", "1001100"], "largest_eigenvalue": 4.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-pi) q[0];
ry(-3.041947219049351) q[0];
h q[1];
ry(1.6318833541680478) q[1];
h q[2];
ry(-0.7379926998527211) q[2];
h q[3];
h q[4];
ry(0.8376298721779702) q[4];
cx q[1], q[4];
ry(-0.8376298721779702) q[4];
cx q[1], q[4];
h q[5];
ry(-0.7147883140515682) q[5];
h q[6];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.3016) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IIIIIZZ",
"IIIZZII",
"IIZIZII",
"IZIIZII",
"IZZIIII",
"IZZIZII",
"IIZIIIZ",
"ZIIIIIZ",
"ZIZIIII",
"ZIZIIIZ",
"IIIZIZI",
"IZIIIZI",
"ZIIIIZI",
"IZIZIII",
"ZIIZIII",
"ZZIIIII",
"IZIZIZI",
"ZIIZIZI",
"ZZIIIZI",
"ZZIZIII",
"ZZIZIZI",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"III... | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.25,
-0.125,
-0.25,
-0.125,
0,
0.125,
0.125
] | 0.991552 | [
1.626920252534508,
1.6318833541680478,
1.6752597443559405,
1.4055255953993955,
-1.4295766281031363,
1.526293908737557,
1.4857719885790526,
-1.4759853997054422,
1.5056411906827167,
-0.1302135460495614,
0.288295705195563,
0.02259902731407358,
0.052822537266667954,
0.02672121721962814,
-0.1... | {
"n_parameters": 24,
"n_qubits": 11,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
9994d9c0864e8ab88d6d9169e088b46e | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 5}, {"weight": 11, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 6}, {... | {"states": [250, 122], "expectation_value": -56.859716186466486, "params": [0.778, -0.4006, 1.5819, -0.0224, 1.5791000000000002, 0.0034000000000000002, 1.587, -0.002, 1.5859, 0.3003, 0.24880000000000002, 0.7666000000000001, 1.5872000000000002, 0.226, 0.7485, 0.5176000000000001, 0.7799, 0.0038, 1.5766, 0.0088, 1.5776000... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(5) @ Z(6)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 11.5 * Z(0) + 14.0 *... | 18 | 8 | 2 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 143.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.11596378006153223) q[0];
rz(0.284417285133328) q[0];
rx(0.9079841915554171) q[1];
rz(0.024714267906631924) q[1];
rx(0.7975047609449103) q[2];
rz(0.10494849557346886) q[2];
rx(0.9341338115562028) q[3];
rz(-0.00661968580596823) q[3];
rx(0.9079841915554171) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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",
"IIIZIIIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZZIII",
"IZIIIZII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
11.5,
14,
10,
17.5,
13.5,
1,
10.5
] | 0.984616 | [
-0.11596378006153223,
0.3017390316030879,
0.9079841915554171,
0.024714267906631924,
0.7975047609449103,
0.10494849557346886,
0.9341338115562028,
-0.00661968580596823,
0.06657420471963857,
-0.0771816746141428,
0.4297982157077295,
0.6553221677779906,
0.11368518825262512,
-0.01430271979699142... | {
"n_parameters": 91,
"n_qubits": 8,
"optimal_eigenvalue": -65.5,
"target_ratio": 0.97,
"target_value": -63.535
} | 12 |
8132b10ac38df5471a34294b4475c3f4 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [123, 115], "expectation_value": -63.879191580734506, "params": [0.0011, 0.3503, 0.0014, 0.3899, 0.2655, 0.1961, 0.6021000000000001, 0.0047, 0.5972000000000001, -0.0017000000000000001, 0.6044, 0.1073, 0.35550000000000004, 0.19410000000000002, 0.3109, 0.21380000000000002, 0.5988, 0.013800000000000002, 0.603, ... | 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(6) @ Z(3)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(1) @ Z(5)) + 7.5 * (Z(7) @ Z(4)) + 7.5 * (Z(8) @ Z(4)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(0) @ Z(9)) + 15.0 * Z(3) + 1.5 * Z(2) + 22.0 * Z(4) + 3.5 * Z(6) + 9.0 * Z(5) + -7.0 * Z(1) + 2.0 * Z(7) + 9.0 * ... | 18 | 10 | 4 | {"smallest_eigenvalues": [-102.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -97.5, "smallest_bitstrings": ["1110001100"], "largest_eigenvalue": 133.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.2808235875224327) q[0];
rz(0.36264990466545033) q[0];
rx(0.11997712603329114) q[1];
rz(0.5891479898441451) q[1];
rx(0.06723391877437263) q[2];
rz(0.2739983878521223) q[2];
rx(0.7673970769027311) q[3];
rz(0.12944267538709808) q[3];
rx(0.7742539949350068) q[4];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIZIIZIII",
"IIIZZIIIII",
"IIIIZIIIZI",
"IIZIIZIIII",
"IZIIIZIIII",
"IZZIIIIIII",
"ZIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IIIIIIIIZI",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII",
"IIIIIIIIIZ"... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
15,
1.5,
22,
3.5,
9,
-7,
2,
9,
-0.5,
-3
] | 0.973737 | [
0.28082358752243275,
0.17820896373087183,
0.11997712603329114,
0.5891479898441451,
0.06723391877437263,
0.2739983878521223,
0.7673970769027311,
0.12944267538709808,
0.7742539949350068,
0.16147710167608642,
0.7433463842676152,
0.3505987003185258,
0.26842770010754247,
0.09181090178177334,
... | {
"n_parameters": 115,
"n_qubits": 10,
"optimal_eigenvalue": -102.5,
"target_ratio": 0.97,
"target_value": -99.425
} | 14 |
2df93713dba52fbc8f2926f6b2fd57be | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 3, ... | {"states": [32767, 30719], "expectation_value": -18.37200519176728, "params": [[[0.2462, -0.0106, 0.005200000000000001, 0.0029000000000000002], [0.8023, 0.1384, 0.2104, -0.1704], [-0.0137, -0.33990000000000004, -0.0599, 0.17750000000000002], [0.002, -0.633, 0.1241, 0.0784], [-0.0714, -0.2841, 0.0668, -0.3174], [0.0014,... | 0.375 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(13) @ Z(4)) + 0.5 * (Z(13) @ Z(2)) + 0.5 * (Z(13) @ Z(5)) + 0.5 * (Z(14) @ Z(4)) + 0.5 * (Z(14) @ Z(2)) + 0.5 * (Z(14) @ Z(5)) + 1.0 * (Z(14) @ Z(13)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.... | 11 | 15 | 4 | {"smallest_eigenvalues": [-18.6249999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.37499999999942, "smallest_bitstrings": ["000100000000000"], "largest_eigenvalue": 39.37500000000008} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.2949175491820306) q[0];
ry(-0.5718315361379981) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.014198824758824193) q[2];
h q[3];
ry(0.8153655793536955) q[3];
h q[4];
ry(1.7358025262701822) q[4];
ry(-3.1020867817151703) q[5];
rz(-pi) q[5];
h q[6];
cx q[6], q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIZIZII",
"IIIIIIIIIZZIIII",
"IIIIIIIIIZIIZII",
"IZIIIIIIIIZIIII",
"IZIIIIIIIIIIZII",
"IZIIIIIIIZIIIII",
"ZIIIIIIIIIZIIII",
"ZIIIIIIIIIIIZII",
"ZIIIIIIIIZIIIII",
"ZZIIIIIIIIIIIII",
"IIIIIIIIZIZIIII",
"IIIIIIIIZZIIIII",
"IIIIIIIZIIZIIII",
"IIIIIIIZIZIIIII",
"... | [
0.375,
0.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
1,
0.75,
0.75,
4.5,
2.375,
4.5,
2.5,
2.5,
2,
2,
1.5,
1,
1.5,
0.5,
0.5,
-0.125
] | 0.978876 | [
-1.6615171206744725,
1.7358025262701822,
-0.5898350983640612,
1.4494700949935044,
1.630731158707391,
-0.961733679987851,
1.4386247151708065,
0.06190878182737325,
-0.37241896942618374,
0.1853314794989342,
0.12371533057551468,
-0.07230134059792101,
-0.818259384585675,
0.003388180207093014,
... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 12 |
d7a525ce4c2e3aa682dbfbc5ee640032 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [14, 7], "expectation_value": -12.66339047984346, "params": null, "bitstrings": ["1110001", "1111000"], "total_optimization_steps": 63, "probabilities": [0.10630209494910714, 0.6109519875068035], "optimization_time": 85.98080897331238} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027051847789835787) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.027051847789835787) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.027051847789835787) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.027051847789835787) q[3];
cx q[1], ... | null | {"k": 4} | {"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(-1.5577) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
-3.5,
-3.5,
-3.25,
-3.25,
-3,
-2.75,
-2.75
] | 0.976706 | [
0.027051847789835787,
-0.03206344691167204,
1.6851099918626093,
1.7238436867176876,
-1.4190839315479138,
-1.6226342532152522,
1.4767707881526164
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 75 |
1536b63d241483fb5dc02588be4ba19b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [35, 97], "expectation_value": -3.1896578094099013, "params": [0.2939, -0.10250000000000001, 0.2894, -0.1005, 0.3095, -0.0862, 0.3043, -0.0182, -0.0151, 0.1516, -0.0165, 0.149, 0.2872, -0.1039, 0.2846, -0.098, -0.0051, 0.1666, -0.0009000000000000001, 0.1585, 0.2841, -0.10070000000000001, 0.2894, -0.0737, 0.2... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(3) + -0.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -2.0 * Z(2) + -0.5 * Z(5) + -1.0 * Z(6) | 5 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011110", "1010101", "0011101", "1010110", "1110001"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.04779183555766979) q[0];
rz(pi/2) q[0];
ry(0.8306418339210944) q[1];
ry(0.05682480482049211) q[2];
ry(-0.05796229018538766) q[3];
ry(0.8499443990166291) q[4];
ry(0.7642536277892962) q[5];
ry(0.9814073438298536) q[6];
ry(0.521067015089204) q[7];
ry(1.1286822792896... | 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] 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 floa... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZIIIZ",
"IIZIIZI",
"IIIZZII",
"IIZIZII",
"IIIIZZI",
"IZIIZII",
"ZIZIIII",
"ZIIIZII",
"ZZIIIII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1.5,
-0.5,
-2,
-0.5,
-1
] | 0.975441 | [
-0.04779183555766979,
0.8306418339210944,
0.05682480482049211,
-0.05796229018538766,
0.8499443990166291,
0.7642536277892962,
0.9814073438298536,
0.521067015089204,
1.128682279289605,
-0.10572734460785212,
-0.004947795862729976,
-0.08436678599328315,
0.3852756836515644,
0.04561754259989417,... | {
"n_parameters": 79,
"n_qubits": 10,
"optimal_eigenvalue": -3.4375,
"target_ratio": 0.97,
"target_value": -3.334375
} | 50 |
36bc612e0322886e175cda5a18a8b6d9 | 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": [124, 122], "expectation_value": -27.890991098845618, "params": [[-0.032600000000000004, -0.0043, 0.006], [0.0626, 0.0692, 0.062]], "bitstrings": ["10000011", "10000101"], "total_optimization_steps": 10, "probabilities": [0.014750869648944412, 0.01678636089351507], "optimization_time": 15.684319734573364} | 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(0) @ Z(4)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 20.5 * Z(1) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 163.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(1.4699154184693155) q[0];
ry(3.0826136600441525) q[0];
rz(-1.6721583245249416) q[0];
rz(1.768561346757501) q[1];
ry(0.19489232234323764) q[1];
rz(-1.625383124529531) q[1];
rz(-0.034525061410001) q[2];
ry(2.896149928164988) q[2];
rz(2.9825217145872758) q[2];
rz(1.7899... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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]}"} | {"circuits": [], "gradients": []} | [
"IIIZIIZI",
"IIIIIIZZ",
"IIIZIIIZ",
"IIIIZIZI",
"IIIZZIII",
"IIIIZIIZ",
"IIIIIZZI",
"IIIZIZII",
"IIIIIZIZ",
"IIIIZZII",
"IZIZIIII",
"IIZIIIZI",
"IZZIIIII",
"ZIIIIZII",
"IIIIIIZI",
"IIIZIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
20.5,
21.5,
11,
18.5,
20.5,
6.5,
3.5,
-1.5
] | 0.978477 | [
1.1355541671065803,
-0.003527757263542479,
-0.02301594544299391,
0.18718982180600888,
1.243676337170396,
-0.14491975384512418,
1.1374533430750573,
-0.016779840620245096,
-0.10700372813155366,
0.7292634592177971,
-0.2737777493242993,
0.3168756280992109,
0.6444637049918576,
0.042181266961096... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -4.0625,
"target_ratio": 0.97,
"target_value": -3.940625
} | 13 |
a81a167158580bb999f8e68ace712ae9 | 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": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1... | {"states": [64, 63], "expectation_value": -1.8459592740696635, "params": [[-0.07880000000000001, -0.0751, -0.079, -0.0728], [0.0776, 0.0734, 0.0751, 0.0717]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.025913130615533658, 0.030575469730213536], "optimization_time": 5.25771... | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + 0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * Z(1) + -0.25 * Z(0) + 1.25 * Z(2) + -0.75 * Z(3) + -0.25 * Z(4) + -0.25 * Z(6) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.0774828677495163) q[0];
h q[1];
ry(1.5548136672768265) q[1];
h q[2];
ry(1.5454980980603812) q[2];
h q[3];
ry(0.9204124634004016) q[3];
cx q[1], q[3];
ry(-0.9204124634004016) q[3];
cx q[1], q[3];
ry(-0.2542960137412164) q[3];
h q[4];
ry(0.38183747534908374)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIZIZI",
"IIIZZII",
"IIZIZII",
"IIZZIII",
"ZIIIIIZ",
"ZIIIZII",
"ZIZIIII",
"IZIIIZI",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
-0.5,
-1,
-0.75,
-0.5,
-0.5,
-0.5,
0.75,
-0.25,
-0.75,
-0.5,
-0.25,
-0.25,
1.25,
-0.75,
-0.25,
-0.25,
0.5
] | 0.970712 | [
1.5454980980603812,
1.5548136672768265,
1.5805648370330432,
0.7636749506981675,
1.8408249268008032,
0.43803001735649794,
-2.1549657354990326,
1.0310008163067323,
-0.7367755493342508,
-0.9093214752915146,
-0.022856653535134153,
0.2404702180227241,
-1.5901752397015083,
-0.031695334543764365,... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 133 |
5bb3f230f56ac9bab802a8146772ac94 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}], "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}, ... | {"states": [2, 3], "expectation_value": -23.20008873071034, "params": [[[0.23170000000000002, -0.2716], [0.2151, -0.2857], [0.48610000000000003, -0.0142], [0.2005, -0.2982], [0.17300000000000001, -0.325], [0.8036000000000001, 0.0036000000000000003], [0.7956000000000001, 0.0041]], [[0.22290000000000001, 0.0043], [0.2128... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 1 | 7 | 2 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(1.3575967410398402) q[0];
ry(0.23056017395815415) q[0];
rz(-2.1527971274231117) q[0];
rz(2.1944677167826203) q[1];
ry(0.05030497465019496) q[1];
rz(-2.8091255821394294) q[1];
rz(-1.511568472926434) q[2];
ry(0.04553382172753725) q[2];
rz(1.3964510322511128) q[2];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
2.75,
-10,
-10,
-10,
-10,
-10.25,
-9.5,
-9.25
] | 0.980973 | [
0.09085077104571271,
-0.39163003103168686,
0.029002652567583387,
-0.17994215576337833,
-0.023964673237098832,
-0.028853264432669792,
-0.16848169343109856,
-0.14065021757364785,
-0.17872212893725806,
-0.4178187803775564,
0.8594119505040079,
-0.03397819378386626,
0.7387488080723611,
-0.03214... | {
"n_parameters": 37,
"n_qubits": 7,
"optimal_eigenvalue": -31,
"target_ratio": 0.97,
"target_value": -30.07
} | 9 |
6653954968270267327 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 2, 8, 9, 10, 11, 12], [1, 2, 3, 4, 5, 6, 10], [3, 4, 12, 7], [2, 4, 5, 6, 8, 11], [0, 1, 3, 4, 5, 6, 8, 9, 12], [0, 8, 11, 6], [1, 7], [0, 2, 3, 4, 5, 8, 9, 10, 11], [11, 4, 7], [2, 6, 7, 9, 10, 12], [2, 3, 5, 6, 7, 9, 10, 11], [8, 4, 5, 7], [1, 2... | {"states": [759, 1783], "expectation_value": -4.425526359674837, "params": [-0.0015, -0.0014, -0.0026000000000000003, -0.0025, 0.8438, 0.8996000000000001, 1.5704, 1.5659, -0.0025, -0.0024000000000000002, 1.5608, 1.5754000000000001, 1.5626, 1.5738, 1.5696, 1.5668, 1.5943, 1.5530000000000002, 0.0024000000000000002, 0.002... | 0.1115079365079365 * (Z(0) @ Z(2)) + 0.15873015873015872 * (Z(8) @ Z(2)) + 0.18492063492063493 * (Z(8) @ Z(0)) + 0.1503968253968254 * (Z(9) @ Z(2)) + 0.07539682539682539 * (Z(9) @ Z(0)) + 0.08928571428571427 * (Z(9) @ Z(8)) + 0.1503968253968254 * (Z(10) @ Z(2)) + 0.061507936507936505 * (Z(10) @ Z(0)) + 0.08492063492063... | 13 | 13 | 1 | {"smallest_eigenvalues": [-4.44563492063492], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.428968253968254, "smallest_bitstrings": ["1100100001000"], "largest_eigenvalue": 20.500000000000007} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(-0.07968229074711727) q[0];
rz(-0.02204846945034439) q[0];
ry(-0.17692012391675394) q[1];
ry(0.8930681892880642) q[2];
ry(1.4817810145914714) q[3];
ry(0.03327693294270656) q[4];
ry(1.503997791015083) q[5];
ry(1.4207683187446503) q[6];
ry(1.576416127655009) 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": []} | [
"IIIIIIIIIIZIZ",
"IIIIZIIIIIZII",
"IIIIZIIIIIIIZ",
"IIIZIIIIIIZII",
"IIIZIIIIIIIIZ",
"IIIZZIIIIIIII",
"IIZIIIIIIIZII",
"IIZIIIIIIIIIZ",
"IIZIZIIIIIIII",
"IIZZIIIIIIIII",
"IZIIIIIIIIZII",
"IZIIIIIIIIIIZ",
"IZIIZIIIIIIII",
"IZIZIIIIIIIII",
"IZZIIIIIIIIII",
"ZIIIIIIIIIZII",
"ZIIIIIIIIII... | [
0.1115079365079365,
0.15873015873015872,
0.18492063492063493,
0.1503968253968254,
0.07539682539682539,
0.08928571428571427,
0.1503968253968254,
0.061507936507936505,
0.08492063492063492,
0.12658730158730158,
0.16825396825396824,
0.14484126984126983,
0.2253968253968254,
0.11706349206349206,... | 0.988979 | [
-0.07968229074711727,
-0.17692012391675394,
0.8930681892880642,
1.4817810145914714,
0.03327693294270656,
1.503997791015083,
1.4207683187446503,
1.576416127655009,
1.710782564352929,
0.011608307773060654,
1.5711539997400168,
1.5144136086861613,
1.5561575162769299,
-0.04409693890068878,
-0... | {
"n_parameters": 45,
"n_qubits": 13,
"optimal_eigenvalue": -4.44563492063492,
"target_ratio": 0.97,
"target_value": -4.312265873015873
} | 1 |
2548882ad4081bf6af959ce2e70710f1 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target":... | {"states": [511, 255], "expectation_value": -2.8694459520687827, "params": [[0.060200000000000004], [-0.056]], "bitstrings": ["000000000", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0034961493785622983, 0.00354343755567423], "optimization_time": 3.79742431640625} | -2.5 * (Z(1) @ Z(3)) + -2.5 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(1)) + 1.0 * (Z(5) @ Z(3)) + -3.5 * (Z(5) @ Z(1)) + 1.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 1.0 * (Z(2) @ Z(4)) + 1.0 * (Z(2) @ Z(5)) + 1.0 * (Z(7) @ Z(3)) + 1.0 * (Z(7) @ Z(1)) + -3.5 * (Z(7) @ Z(4)) + -3.5 * (Z(7) @ Z(5)) + -2.5 * (Z(7) @ Z(2)) + -3.5 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-35.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.0, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 38.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
ry(0.7544583391881676) q[1];
h q[2];
ry(0.7939614720948391) q[2];
h q[3];
ry(0.7406465879393128) q[3];
h q[4];
ry(-0.15792229190634466) q[4];
h q[5];
h q[6];
h q[7];
ry(0.8792011261581768) q[7];
h q[8];
ry(0.7862720267863845) q[8];
cx q[5], q[8];
ry(-0.7... | 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[3],... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIZIZI",
"IIIIZZIII",
"IIIIZIIZI",
"IIIZIZIII",
"IIIZIIIZI",
"IIIZZIIII",
"IIIIIZZII",
"IIIIZIZII",
"IIIZIIZII",
"IZIIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZIZIIIII",
"IZIIIIZII",
"ZIIIIZIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZIIZIIIII",
"ZIIIIIZII",
"ZZIIIIIII",
"IIZIIIIZI",
"... | [
-2.5,
-2.5,
-3,
1,
-3.5,
1.5,
0.5,
1,
1,
1,
1,
-3.5,
-3.5,
-2.5,
-3.5,
1.5,
-3.5,
-4,
-3,
-3,
0.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.922735 | [
1.572544053572769,
1.7584022523163536,
0.8405661044920982,
-2.010341305488433,
0.11461744759943902,
-0.3158445838126893,
-0.06311259151142926,
1.2763883235505067,
1.5879229441896783,
-0.015738269431764217,
0.6517194175978477,
1.632722299906158,
1.4812931758786256,
1.5089166783763353,
-0.... | {
"n_parameters": 78,
"n_qubits": 9,
"optimal_eigenvalue": -35,
"target_ratio": 0.97,
"target_value": -33.949999999999996
} | 500 |
26422131897480ae916d15f66e2a8744 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [125, 109], "expectation_value": -59.38347311382226, "params": [0.377, 0.3135, 0.29510000000000003, 0.34450000000000003, 0.896, 0.005200000000000001, 0.8985000000000001, -0.08610000000000001, 0.45740000000000003, -0.22590000000000002, 0.8947, -0.0019, 0.9028, 0.1645, 0.4791, 0.30920000000000003, 0.8967, 0.17... | 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(0) @ Z(3)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(3)) + 5.5 * (Z(8) @ Z(0)) + 9.0 * Z(2) + 2.5 * Z(1) + 18.5 * Z(3) + 3.0 * Z(0) + 14.5 * Z(5) + 6.0 * Z(4) ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-84.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["110010010"], "largest_eigenvalue": 138.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.0959562160968423) q[0];
rz(-0.05989972129467169) q[0];
rx(0.034463997468953345) q[1];
rz(0.8130544294108126) q[1];
rx(0.9101611020813697) q[2];
rz(-0.24193152186169492) q[2];
rx(0.9851796919825005) q[3];
rz(-0.05505846264927228) q[3];
rx(0.18132918013050883) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZIIZ",
"IIIZIZIII",
"IIIIZIZII",
"IIIIZZIII",
"IIIZZIIII",
"IIZIIIIZI",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIZIII",
"ZIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
9,
2.5,
18.5,
3,
14.5,
6,
10,
4.5,
10
] | 0.974849 | [
-0.09595621609684228,
-0.1684214551598744,
0.034463997468953345,
0.8130544294108126,
0.9101611020813697,
-0.24193152186169492,
0.9851796919825005,
-0.05505846264927228,
0.18132918013050883,
-0.13013023032024562,
1.2210073951549998,
-0.3255008963955375,
0.7369252364674761,
0.052279517838958... | {
"n_parameters": 77,
"n_qubits": 9,
"optimal_eigenvalue": -84.5,
"target_ratio": 0.97,
"target_value": -81.965
} | 16 |
9c42d64a7466ccf874275fc8844c2c25 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [102, 106], "expectation_value": -4.999874347869909, "params": null, "bitstrings": ["0011001", "0010101"], "total_optimization_steps": 34, "probabilities": [1.7113027183428194e-05, 0.9999243263153885], "optimization_time": 41.31800436973572} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(4) + 0.0 * Z(0) + -2.0 * Z(2) + -0.5 * Z(1) + -1.0 * Z(6) + -1.0 * Z(3) + 0.0 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0010101"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-9.07577882516075e-09) q[0];
cx q[4], q[0];
rz(1.570796363493768) q[0];
rx(-1.5707963622037864) q[0];
cx q[4], q[2];
rz(-9.07577882516075e-09) q[2];
cx q[4], q[2];
cx q[2], q[1];
rz(-9.07577882516075e-09) q[1];
c... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIZIIIZ",
"IIZIZII",
"IIIIZZI",
"ZIIIZII",
"ZIIIIZI",
"IIZZIII",
"IIIZZII",
"ZIIZIII",
"IZIIZII",
"IIZIIII",
"IIIIIIZ",
"IIIIZII",
"IIIIIZI",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-2,
-0.5,
-1,
-1,
0
] | 0.8 | [
-9.07577882516075e-9,
-1.5707962474353703,
1.5707963634937685,
-1.5707962955026136,
1.5707962811770297,
-1.5707963622037862
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 159 |
04fe200220cb0278b572d83172c75de9 | 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": 1}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 6... | {"states": [0, 1], "expectation_value": -7.812120213833459, "params": [[[0.0021000000000000003, 0.3209], [0.0024000000000000002, 0.5996], [0.0028, 0.5927], [0.0049, 0.199], [0.6083000000000001, 0.0071], [-0.0014, -0.011000000000000001], [0.8073, -0.0037]], [[0.004200000000000001, 0.0091], [0.0024000000000000002, 0.0029... | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(5) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * Z(1) + -0.25 * Z(0) + -1.5 * Z(2) + -0.75 * Z(5) + 0.75 * Z(6) + 0.0 * Z(3) + ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["1111110", "1111010"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.06130815730018118) q[0];
rz(0.463469290764003) q[0];
rx(-0.07581104059622698) q[1];
rz(0.0489247887747748) q[1];
rx(-0.011251041592074667) q[2];
rz(-0.5619835883705591) q[2];
rx(-0.00789090442000682) q[3];
rz(0.27967715048844255) q[3];
rx(0.20171769347520233) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IZIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"IIIZIZI",
"IIIZZII",
"IZIZIII",
"IIZIIZI",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
-0.75,
-1,
-1.25,
1,
-0.25,
-0.75,
-0.75,
-0.5,
-1,
-1,
-0.25,
-0.25,
-1.5,
-0.75,
0.75,
0,
2
] | 0.976998 | [
-0.061308157300181174,
0.30964234416005165,
-0.07581104059622698,
-0.17585963221822506,
-0.01125104159207467,
-0.4382858872484008,
-0.007890904420006818,
0.39046647275242663,
0.2017176934752023,
-0.3470176638746595,
0.08692341497440934,
-0.309682958908232,
0.7849760118838354,
0.03717952235... | {
"n_parameters": 71,
"n_qubits": 7,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 5 |
8c44c442a25e00dfae4e1647b2faf79f | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [9, 3], "expectation_value": -3.37635284629901, "params": [[0.050100000000000006, 0.0332, 0.053700000000000005, 0.053700000000000005], [-0.0522, -0.024800000000000003, -0.0497, -0.0601]], "bitstrings": ["10110", "11100"], "total_optimization_steps": 10, "probabilities": [0.06255234694035373, 0.06639772684683... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 1.75 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 9 | 5 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022216824968526526) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022216824968526526) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022216824968526526) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.6284369302106981) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"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,
2,
1.75,
1.75,
2,
2,
1.75,
-2.75,
-2.5,
-2.75,
-2.5,
-2.5
] | 0.720045 | [
0.022216824968526526,
0.6284369302106981,
-1.317266113042237,
0.027624710446691313,
-0.865652482486156
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 144 |
20a60ed013bc1976376f734be7d8d92c | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 1, "target": 3}]} | {"states": [1789, 1773], "expectation_value": -5.048054473036211, "params": [0.4501, 0.2369, 0.7368, 0.1809, 0.7312000000000001, 0.08360000000000001, 0.4267, 0.2301, 0.7424000000000001, 0.1626, 0.7405, 0.0492, 0.7392000000000001, 0.0181, 0.4808, 0.25420000000000004, 0.4897, 0.24200000000000002, 0.7476, 0.0158, 0.4696, ... | 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 * ... | 16 | 12 | 4 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -6.0, "smallest_bitstrings": ["100100010010", "100100010001", "100100001010", "010010001001", "010001100100", "010010001100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.354728125038139) q[0];
ry(-0.4482118389810244) q[1];
ry(1.1755110513092433) q[2];
ry(0.5002955961412344) q[3];
ry(0.16063370756801337) q[4];
ry(1.5622279807339) q[5];
ry(1.1768090945097947) q[6];
ry(1.5622279807339) q[7];
ry(1.5666955069360808) q[8];
ry(1.5127972... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIZIIIIIIIIZ",
"IIZIIIIIZIII",
"IZIIIIIII... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.972165 | [
-0.354728125038139,
-0.4482118389810244,
1.1755110513092433,
0.5002955961412344,
0.16063370756801337,
1.5622279807339,
1.1768090945097947,
1.5666955069360808,
1.5127972230668947,
-0.024986189269166677,
0.48443925419363265,
0.015176939504703403,
-0.07719483818697466,
0.3729730085267119,
0... | {
"n_parameters": 60,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999957,
"target_ratio": 0.97,
"target_value": -19.39999999999996
} | 52 |
-6788165047368714423 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[5, 6], [0, 3, 5], [2, 4, 6], [0, 2], [0, 6, 7], [1, 3, 4, 5], [0, 8, 5, 1]]} | {"states": [436, 437], "expectation_value": -1.3179368748551705, "params": [1.0004, -0.1043, 1.0035, 0.0009000000000000001, 1.0008000000000001, -0.1691, 0.9975, 0.0033, 0.8649, 0.0132, 0.372, 0.0041, 1.0032, -0.12390000000000001, 1.0044, 0.0048000000000000004, 1.0001, -0.138, 1.0054, 0.0066, 0.8354, 0.28750000000000003... | 0.5 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.08333333333333333 * (Z(4) @ Z(5)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.... | 6 | 9 | 1 | {"smallest_eigenvalues": [-2.5000000000000013], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4166666666666674, "smallest_bitstrings": ["001001010"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(1.7045038067259648) q[0];
h q[1];
ry(0.4080453848454396) q[1];
h q[2];
ry(-0.6269090795870594) q[2];
cx q[0], q[2];
ry(0.6269090795870594) q[2];
cx q[0], q[2];
ry(-0.34762710221249954) q[2];
h q[3];
ry(0.5414303676009488) q[3];
h q[4];
ry(1.4023876183700827) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IIZZIIIII",
"IIZIIIIIZ",
"IIIZIIIIZ",
"IIIZIZIII",
"IIIIIZIIZ",
"IIZIIIZII",
"IIIIIIZIZ",
"IIZIZIIII",
"IIIZZIIII",
"IIIIZZIII",
"IIIIZIZII",
"IZZIIIIII",
"IZIIIIIIZ",
"IIIZIIIZI",
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIZIIZI",
"ZIIZIIIII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIZIIIIII",
"... | [
0.5,
0.16666666666666666,
0.25,
0.25,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333... | 0.973342 | [
1.7045038067259648,
-1.2538181591741189,
1.4023876183700827,
-0.755076879998702,
1.0394950052564547,
-0.6878024994523615,
0.5116702749007058,
1.0828607352018975,
-0.3992228473254632,
-0.43038061132980254,
0.8160907696908792,
-0.5650047275067692,
0.4373890970316808,
-0.12644680271547606,
... | {
"n_parameters": 46,
"n_qubits": 9,
"optimal_eigenvalue": -2.5000000000000013,
"target_ratio": 0.97,
"target_value": -2.425000000000001
} | 4 |
605742faa50c2e92c07356e058fd303f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [253, 245], "expectation_value": -1.3348967353737682, "params": [0.2601, 0.4464, 1.1016000000000001, 0.1272, 1.0999, 0.1746, 1.0993, 0.0805, 1.0975000000000001, 0.3074, 0.789, 0.31010000000000004, 1.1063, 0.40080000000000005, 0.24930000000000002, 0.46180000000000004, 1.1042, 0.22010000000000002, 0.2592, 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(0) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(1) @ Z(5)) + -0.125 * (Z(4) @ Z(1) ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.25, "smallest_bitstrings": ["100001010", "010100010", "100010001"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.2519734558329277) q[0];
rz(0.3651187390109438) q[0];
rx(0.549123536582348) q[1];
rz(0.1729633947430669) q[1];
rx(0.43121785023168274) q[2];
rz(-0.3977475527083846) q[2];
rx(0.7480155259603805) q[3];
rz(0.11334574533755185) q[3];
rx(0.9524074886463487) q[4];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIZIIIZI",
"IIZIIIIZI",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIZZIIZI",
"IIZIZIIZI",
"IIZZIIIZI",
"IIZZZIIII",
"IIZZZIIZI",
"IZIIZIIII",
"IIIIIZZII",
"IIIZIIZII",
"ZIIIIIZII",
"IIIZIZIII",
"... | [
0.25,
0.25,
0.25,
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0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
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0.125,
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-0.... | 0.973344 | [
-0.25197345583292763,
0.2954298013317361,
0.549123536582348,
0.1729633947430669,
0.43121785023168274,
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0.9524074886463487,
0.09007031560592105,
-0.034370920448749724,
0.1359556355151768,
0.6730941809643614,
0.021375644081781026,
... | {
"n_parameters": 106,
"n_qubits": 9,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 14 |
2b8dca7c94388a8984b1472327af39be | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [134, 7], "expectation_value": -12.664722089950752, "params": [[-0.029400000000000003, -0.0285, -0.014700000000000001], [0.0541, 0.0666, 0.0609]], "bitstrings": ["01111001", "11111000"], "total_optimization_steps": 10, "probabilities": [0.009973169641222579, 0.011072140656410783], "optimization_time": 8.8174... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3... | 16 | 8 | 3 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.3818771377724905) q[0];
rz(-1.9103690503996393) q[0];
rx(-0.11263134617702725) q[1];
rz(0.6007254116023226) q[1];
rx(-0.002501317637743139) q[2];
rz(0.08539354915702879) q[2];
rx(-0.0783377712412768) q[3];
rz(1.925375141265496) q[3];
rx(0.012064649750713419) 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... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
2.75,
3,
3,
2.75,
3,
3,
3,
2.75,
-7,
-7,
-7.5,
-7,
-7,
-6.5,
-6.5,
-6.5
] | 0.981014 | [
-0.3818771377724905,
-1.9103690503996393,
-0.11263134617702725,
0.6007254116023226,
-0.002501317637743139,
0.08539354915702879,
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1.925375141265496,
0.012064649750713419,
0.3747330441849217,
3.106996129162009,
-0.11573936158740605,
3.349533670738013,
0.27690137576373397,... | {
"n_parameters": 16,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 22 |
-65198099378423854 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4, 5], [1, 4], [1, 5, 6], [0, 3, 5], [0, 1, 2, 6], [3, 6], [0, 4, 6]]} | {"states": [7, 71], "expectation_value": -0.24960791695986137, "params": [[-0.1537], [0.1575]], "bitstrings": ["1111000", "0111000"], "total_optimization_steps": 20, "probabilities": [0.010374591342775389, 0.010481072435920773], "optimization_time": 0.9758400917053223} | 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["0111000"], "largest_eigenvalue": 5.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(0.017332419314715183) q[2];
cx q[4], q[2];
h q[5];
cx q[4], q[5];
rz(0.017332419314715183) q[5];
cx q[4], q[5];
cx q[2], q[5];
cx q[4], q[1];
rz(-1.451393751962033) q[1];
cx q[4], q[1];
rz(0.017332419314715183) 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;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
c... | null | {"circuits": [], "gradients": []} | [
"IIZIZII",
"IZZIIII",
"IZIIZII",
"IIZIIZI",
"IIIIZZI",
"IZIIIZI",
"ZIZIIII",
"ZIIIZII",
"ZZIIIII",
"ZIIIIZI",
"IIZIIIZ",
"IIIIZIZ",
"IZIIIIZ",
"IIIIIZZ",
"ZIIIIIZ",
"IZIZIII",
"ZIIZIII",
"IIIZIIZ",
"IIZIIII",
"IIIIZII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIIIIZ",
"III... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.25,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.25,
0.166666666666666... | 0.727375 | [
0.017332419314715183,
-1.451393751962033,
-0.023894134808954654,
-0.02314183610906853,
0.963645586854664,
-1.0431708815842238,
-0.7865186648614338,
1.0137711522199493
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -2.166666666666667,
"target_ratio": 0.97,
"target_value": -2.101666666666667
} | 209 |
a86642e6cce376e198acbea9739e132f | 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": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [140, 172], "expectation_value": -4.578710204933598, "params": [0.4088, -0.0018000000000000002, 0.4078, -0.0025, 0.0001, 0.1971, -0.0038, 0.1998, 0.4022, 0.0018000000000000002, 0.3942, 0.10500000000000001, -0.0159, 0.20800000000000002, -0.0143, 0.2066, 0.40540000000000004, 0.0012000000000000001, 0.4051, 0.08... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * Z(7) + 0.0 * Z(0) + -1.0 * ... | 7 | 8 | 2 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["01010011", "01110001"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.7788921625326182) q[0];
rz(0.2230163025346945) q[0];
rx(-0.06279500599084235) q[1];
rz(-0.213889491171348) q[1];
cx q[1], q[0];
rz(-0.02338885400606743) q[0];
cx q[1], q[0];
rz(1.5071816255562513) q[0];
ry(1.267785762677449) q[0];
rz(-1.5998410014257503) q[0];
rx(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIZ",
"ZIIIIZII",
"IIIIIZZI",
"ZIIIZIII",
"IIIIZIZI",
"IIIZIIZI",
"IIIZZIII",
"ZZIIIIII",
"IZIIIZII",
"IZIIIIZI",
"IZIIZIII",
"ZIZIIIII",
"IIZIZIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII"
] | [
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,
-1,
-1.5,
-2,
-0.5,
-1.5,
-0.5
] | 0.970864 | [
0.7788921625326182,
0.1996274485286272,
-0.06279500599084235,
-0.213889491171348,
0.9456424027287026,
0.024187368721291156,
-0.23477557507372102,
0.2573757458924724,
0.8339873675672926,
0.026784380313006426,
1.0289673818057754,
-0.07185356810089523,
0.19163442282583112,
0.02318476419649844... | {
"n_parameters": 70,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 22 |
7e799239f8573f120a2c5e15cda2e88f | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}]} | {"states": [7, 14], "expectation_value": -0.07886984570843944, "params": [[0.047, 0.0585], [-0.0263, -0.0473]], "bitstrings": ["11000", "10001"], "total_optimization_steps": 10, "probabilities": [0.03400925143561499, 0.03469302047832415], "optimization_time": 2.09847354888916} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -0.5 * Z(1) + 0.0 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["10001", "11000"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.013661432647873829) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.47799463725369296) q[1];
h q[2];
ry(1.609883237122917) q[2];
h q[3];
ry(1.609883237122917) q[3];
h q[4];
cx q[4], q[1];
ry(0.47799463725369296) q[1];
cx q[4], q[1];
ry(-0.6440649203767641) q[1];
ry(0.9857223264... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0... | null | {"circuits": [], "gradients": []} | [
"IIZIZ",
"IZIIZ",
"IIIZZ",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"IIIZI",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
-1,
0,
-0.5,
0
] | 0.994711 | [
-1.5961244559276881,
1.609883237122917,
-0.9559892745073859,
0.7778346010594781,
-0.4321667361998622,
0.4157754507244771,
-0.42379636835380385,
0.245207488748664,
-0.0379388834944252,
0.03472662903914467,
0.0730459640739915,
0.07797912356133081,
-0.0856693429277921
] | {
"n_parameters": 13,
"n_qubits": 5,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 1 |
d372548ac1388c7f9b6f4d807571c7c5 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [29, 157], "expectation_value": -4.0387586597791465, "params": [0.5985, 0.0016, 0.1233, 0.2716, -0.0044, 0.3614, 0.6061000000000001, 0.1391, 0.6001000000000001, 0.0032, 0.6062000000000001, 0.0015, -0.0204, 0.37260000000000004, 0.6088, 0.049, 0.598, 0.0046, 0.12140000000000001, 0.3367, -0.0071, 0.3665, 0.6004... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + -1.5 * Z(6) + 0.0 * Z(0) + -2.0 * Z(2) + -1.0 * Z(1) + -0.5 * Z(4) + -1.0 * Z(5) + 0.0 * Z(3) + 0.0 ... | 3 | 8 | 3 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["01100010"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.864213961988565) q[0];
rz(-0.041612812661201204) q[0];
rx(-0.034519869610084936) q[1];
rz(0.3544130356580055) q[1];
rx(0.009803554673005387) q[2];
rz(0.4552903959227983) q[2];
rx(1.2321796190553551) q[3];
rz(0.19436988569285862) q[3];
rx(0.9305277777777272) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIIIIIZ",
"IZIIIZII",
"IIIIIZZI",
"IZIZIIII",
"IIIZIIZI",
"IZZIIIII",
"IIZIIZII",
"IIZIIIZI",
"IIIIZZII",
"ZIIIIZII",
"IZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IIIIZIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-2,
-1,
-0.5,
-1,
0,
0
] | 0.978999 | [
0.8642139619885651,
0.0075984527983884165,
-0.03451986961008493,
0.3770160707538932,
0.009803554673005387,
0.24771675399026538,
1.2321796190553551,
0.24567218114110337,
0.9305277777777271,
-0.13180405414921884,
0.9088511873494337,
0.062119083095893084,
-0.13345979707358868,
0.3312777712441... | {
"n_parameters": 64,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 16 |
42c8a30369b7a75bc5bed2e6569b1f7f | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [39, 55], "expectation_value": -8.870067691944683, "params": null, "bitstrings": ["11011000", "11001000"], "total_optimization_steps": 80, "probabilities": [0.28174963113822254, 0.4245343800743181], "optimization_time": 115.0821681022644} | -1.0 * (Z(0) @ Z(1)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + 1.75 * (Z(7) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(5)) + -1.25 * (Z(3) @ Z(7)) + -2.5 * (Z(3) @ Z(2)) + -0.75 * (Z(6) @ Z(7)) + -2.75 * Z(1) + -0.25 * Z(0) + 0.0 * Z(5)... | 1 | 8 | 2 | {"smallest_eigenvalues": [-15.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.75, "smallest_bitstrings": ["11001000"], "largest_eigenvalue": 18.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.756390603361468) q[0];
h q[1];
h q[2];
h q[3];
ry(1.960802890701371) q[3];
rz(-pi) q[4];
ry(-0.03363957311324232) q[4];
h q[5];
ry(0.7593746714538002) q[5];
cx q[2], q[5];
ry(-0.7593746714538002) q[5];
cx q[2], q[5];
ry(0.2851378825371864) q[2];
cx q[3], q... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.2796) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIZIIIZI",
"IIZIIIIZ",
"ZIIIIIIZ",
"IIIIIZZI",
"IIZIIZII",
"IIIZIIZI",
"IIIIZIZI",
"IIZIZIII",
"ZIIIZIII",
"IIIIZZII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IZIIIIII"
] | [
-1,
-1.75,
-0.5,
1.75,
-0.5,
-3,
-0.5,
-1,
-1.75,
-1.25,
-2.5,
-0.75,
-2.75,
-0.25,
0,
-0.25,
-1,
-0.5,
4,
0.75
] | 0.973129 | [
1.960802890701371,
1.5187493429076004,
0.5702757650743728,
0.5884320148351232,
-0.35492320054565396,
-0.00790800591482066,
-0.009886103992825745,
-0.11041315474839637,
0.4022843241340985,
0.967658013117771,
1.6733011054968419,
-1.512781206722936,
1.8222976834996618,
-0.9970092432471047,
... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -15.75,
"target_ratio": 0.97,
"target_value": -15.2775
} | 41 |
1acf7607c7ee29e36b87a4b01083b206 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "source": 3, "target": 5}, {"capaci... | {"states": [21, 31], "expectation_value": -4.478958451961376, "params": null, "bitstrings": ["101010", "100000"], "total_optimization_steps": 52, "probabilities": [0.16347067988755046, 0.5183808250580454], "optimization_time": 40.048314571380615} | -1.5 * (Z(0) @ Z(4)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + -1.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.06827815816356449) q[0];
h q[1];
ry(0.28864931235364366) q[1];
h q[2];
h q[3];
cx q[3], q[1];
ry(-0.28864931235364366) q[1];
cx q[3], q[1];
ry(0.2691310622985146) q[3];
ry(0.7286787559448862) q[1];
h q[4];
ry(1.1406820502596924) q[4];
cx q[2], q[4];
ry(-1.... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.57) q[3], 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 \"s... | [
"IZIIIZ",
"IZIIZI",
"IIZIZI",
"IZIZII",
"ZZIIII",
"ZIIIIZ",
"ZIZIII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"IIIZII",
"ZIIIII"
] | [
-1.5,
-0.25,
-1.25,
-1,
-1.5,
1.75,
-0.25,
0.25,
-0.25,
1,
-1,
0,
0
] | 0.970202 | [
0.5772986247072873,
-0.13655631632712897,
1.4784928192670517,
2.2813641005193848,
2.1336059398620155,
0.08833575044167,
-0.9910259827145842,
0.04008808361503387,
0.5382621245970292,
1.4573575118897724,
1.1779871136653997,
-0.41195736481598083,
0.047345997501894194,
0.04288036191304298,
-... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 97 |
167de87ac8ecd264944bce456eb0ffa8 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 6}, {"source": 5, "target": 6}, {"source": 6, "target":... | {"states": [0, 511], "expectation_value": -5.482137074301579, "params": [[[-0.8999, 1.0053], [0.1507, 1.006], [0.0022, 0.4635], [0.0022, 0.0019], [0.0031000000000000003, 0.0008], [0.0014, 0.0024000000000000002], [0.0028, 0.0023], [0.003, 0.0027], [0.28450000000000003, 1.0016]]], "bitstrings": ["111111111", "000000000"]... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(6)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + -1.5 * Z(6) + 1.0 * Z(4) + 1.0 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) | 15 | 9 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["000000000"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.57079638744405) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(1.57079638744405) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-5.372834621653055e-09) q[1];
rx(1.5707963333198056) q[1];
rz(1.5707963216026855) q[2];
cx q[0], q[2];
rz(-1.52083... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIZIZIIII",
"IIZZIIIII",
"IIIZZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIZIIIIII",
"IIIIZIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-1,
-1,
-2,
-2,
0.5,
-1,
0.5,
0.5,
0.5,
0.5,
-1.5,
1,
1,
0.5,
0.5
] | 0.95 | [
1.57079638744405,
1.5707963216026855,
3.141592633243659,
-5.372834660536401e-9,
-1.5208323011381827e-8,
1.5707963333198056
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 197 |
6842c95d9f8f8e6ed9a30462c7d1331d | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 9}, {"capacity": 2, "source": 2, "target":... | {"states": [1022, 510], "expectation_value": -8.63716628930013, "params": [[[0.0026000000000000003, -0.0027], [-0.8252, 1.1101], [-0.0029000000000000002, 1.1122], [-0.0028, -0.0031000000000000003], [-0.0026000000000000003, -0.0031000000000000003], [0.0017000000000000001, -0.0025], [-0.0026000000000000003, -0.0027], [-0... | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(10) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(6) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(6)) + -1.0 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(4)) + -0.5 * (Z(8) @ Z(5)) + -0.25 * (Z(9) @ Z(1)) + -0.25 * (Z(9) @ Z(4)) + -0.75 * (Z(9... | 15 | 11 | 1 | {"smallest_eigenvalues": [-9.25, -9.25, -9.25, -9.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.25, "smallest_bitstrings": ["10000000001", "10000000101", "11000000001", "11000000101"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.021646581864943778) q[0];
ry(-0.31292083597860404) q[1];
ry(0.004853907484398156) q[2];
ry(-0.018508767036449096) q[3];
ry(0.000440286683361657) q[4];
ry(-0.0224094661005485) q[5];
ry(0.04703126007801338) q[6];
ry(-0.08817431597502833) q[7];
ry(0.0004402866833616... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"ZIIIIIIIIIZ",
"IIIIIIIZIZI",
"IIIIZIIZIII",
"IIIIIIZZIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIZZIIII",
"IIIZIIIIIZI",
"IIIZIIZIIII",
"IIZIIZIIIII",
"IZIIIIIIIZI",
"IZIIIIZIIII",
"IZIIIZIIIII",
"IIIIIIIIZIZ",
"IIIIIZIIZII",
"IIIIIIIZIII",
"IIIIIIIIIIZ",
"ZIIIIIIII... | [
-0.25,
-0.25,
-0.5,
-1.25,
-0.25,
-0.25,
-1,
-0.25,
-0.5,
-1,
-0.5,
-0.25,
-0.25,
-0.75,
0.75,
-0.75,
0.25,
-0.25,
-0.25,
-1.25,
0,
0,
1.25,
1,
-0.5,
-0.25,
0
] | 0.970588 | [
-0.021646581864943778,
-0.31292083597860404,
0.004853907484398156,
-0.018508767036449096,
0.000440286683361657,
-0.0224094661005485,
0.04703126007801338,
-0.08817431597502833,
-0.18276149547769027,
-0.04780865640678236,
0.10746302571400808,
0.19213891164057278,
0.149001744393204,
-0.054933... | {
"n_parameters": 46,
"n_qubits": 11,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 38 |
3a47978bfb976fd6248810daacdb4903 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [564, 596], "expectation_value": -3.1291967997754626, "params": [0.397, 0.0077, 0.0051, 0.2916, 0.0005, -0.2937, 0.3957, 0.17900000000000002, 0.3986, 0.12250000000000001, 0.3972, 0.0051, -0.0012000000000000001, 0.2554, 0.3956, 0.2849, 0.3916, 0.1326, 0.0015, 0.26940000000000003, 0.3997, 0.006200000000000001,... | -0.5 * (Z(9) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(9)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(4)) + 1.0 * (Z(8) @ Z(7)) + -0.... | 18 | 10 | 4 | {"smallest_eigenvalues": [-6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.0, "smallest_bitstrings": ["0110101011", "0110000000", "0110101101", "0110010001", "0111001011", "0111001101"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.6566433803157805) q[0];
rz(-0.5635484037530434) q[0];
rx(-0.08458123676006576) q[1];
rz(1.1774379964221435) q[1];
rx(0.05460809018472292) q[2];
rz(-0.2485327778063438) q[2];
rx(2.1111802145115894) q[3];
rz(0.24582046501630292) q[3];
rx(0.23032023843005026) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"ZIIIIIZIII",
"IIIIIZZIII",
"ZIIIIZIIII",
"IIIIZIZIII",
"ZIIIZIIIII",
"IIIIZZIIII",
"IIZIIIZIII",
"IIZIIZIIII",
"ZIIZIIIIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IZIIIIZIII",
"IZIIIZIIII",
"IZZIIIIIII",
"IZIZIIIIII",
"ZIIIIIIIIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIIIIIZZI",
"IIIIIIZIII"... | [
-0.5,
1,
-0.5,
0.5,
-1,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
-0.5,
1,
-0.5,
-0.5,
0.5,
0.5,
-0.16666666666666666,
1,
-2,
1,
2,
0.5,
0.5,
0.5,
0.8333333333333334,
-0.3333333333333333,
-0.3333333333333333
] | 0.972111 | [
1.6566433803157805,
-0.19670393659137253,
-0.08458123676006576,
1.1774379964221435,
0.05460809018472292,
-0.2485327778063438,
2.1111802145115894,
0.24582046501630292,
0.23032023843005026,
0.31345605388271675,
1.0081605341475985,
-0.16074160645590554,
0.020028144123884657,
0.288359995550519... | {
"n_parameters": 51,
"n_qubits": 10,
"optimal_eigenvalue": -6.666666666666666,
"target_ratio": 0.97,
"target_value": -6.466666666666666
} | 34 |
7fbf61ffa47f199b4de407a2a49d3fbd | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [858, 346], "expectation_value": -67.39254409272503, "params": [1.1048, -0.047900000000000005, 1.1003, 0.0023, 1.1006, -0.0015, 0.8865000000000001, 0.001, 1.0988, -0.0665, -0.10200000000000001, 0.0099, 1.0953000000000002, -0.0094, 1.097, 0.0095, 1.0887, -0.3337, 0.687, 0.0074, 1.0971, 0.0051, 1.0955000000000... | 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(6) @ Z(0)) + 5.5 * (Z(6) @ Z(7)) + 5.5 * (Z(8) @ Z(5)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(8)) + 4.0 * Z(0) + 8.0 * Z(1) + 15.5 * Z(3) + -1.0 * Z(2) + 10... | 6 | 10 | 1 | {"smallest_eigenvalues": [-94.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.5, "smallest_bitstrings": ["1010100101"], "largest_eigenvalue": 146.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.09412889079296183) q[0];
rz(1.5990392955437684) q[0];
rx(0.7818881100511158) q[1];
rz(1.4106565649211618) q[1];
rx(0.1731291435868415) q[2];
rz(1.5270104738315773) q[2];
rx(1.0152138528815078) q[3];
rz(1.7591975084373441) q[3];
rx(0.9684466210813193) q[4];
rz(1.90... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIZIZIIIII",
"IIIZIIIIIZ",
"IIZZIIIIII",
"IZIIZIIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIZIIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
4,
8,
15.5,
-1,
10,
20,
7,
7,
15,
-5
] | 0.970488 | [
0.09412889079296183,
0.028242968748871857,
0.7818881100511159,
-0.16013976187373527,
0.1731291435868415,
-0.04378585296331893,
1.0152138528815076,
0.18840118164244715,
0.9684466210813194,
0.3378269529017904,
0.5874558467404029,
0.1425108167735365,
0.7385052857003876,
-0.19055105050463872,
... | {
"n_parameters": 114,
"n_qubits": 10,
"optimal_eigenvalue": -94.5,
"target_ratio": 0.97,
"target_value": -91.66499999999999
} | 14 |
abebab5175d0d0d89bf916154d0e1360 | 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": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [311, 190], "expectation_value": -0.41147535280489994, "params": [[0.078, 0.0767, 0.0761], [-0.0859, -0.0834, -0.0813]], "bitstrings": ["011001000", "101000001"], "total_optimization_steps": 10, "probabilities": [0.00424138334765948, 0.004250640518053883], "optimization_time": 16.12028694152832} | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(0) @ Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(8) @ Z(3)) + 0.25 * (Z(8) @ Z(5)) + -0.25 *... | 1 | 9 | 3 | {"smallest_eigenvalues": [-3.3125, -3.3125, -3.3125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.3125, "smallest_bitstrings": ["011001000", "100100010", "101000001"], "largest_eigenvalue": 5.6875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-3.0276657592090853e-08) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-3.0276657592090853e-08) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[4];
rz(-3.0276657592090853e-08) q[4];
cx q[2], q[4];
rz(1.5707962011... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIIZZZII",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIZZIIIII",
"IIZZIIIIZ",
"IZIIIIZII",
"IIIZIZIII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIIZIZIII",
"IIIIZIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IIZIZIIII",
"IZIIZIIII",
"ZIIIZIIII",
"... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0... | 0.777778 | [
-3.0276657592090853e-8,
1.5707962011345744,
-1.5707963261737141,
1.5707962746941437,
1.570796338750851
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 149 |
-3265844937580489028 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4], [2, 4], [1, 5], [0, 5], [4, 6], [0, 1], [4, 5], [1, 3]]} | {"states": [51, 76], "expectation_value": -0.10861705763928024, "params": [[-0.0864], [0.0811]], "bitstrings": ["1001100", "0110011"], "total_optimization_steps": 10, "probabilities": [0.00914864006782388, 0.00914864006782388], "optimization_time": 1.4821043014526367} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["0110011", "1001100"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.1906681928533288) q[0];
h q[1];
h q[2];
h q[3];
ry(-0.49953796297429875) q[3];
h q[4];
ry(-0.1906681928533288) q[4];
h q[5];
cx q[5], q[0];
ry(0.1906681928533288) q[0];
cx q[5], q[0];
ry(-0.016066857209356633) q[0];
cx q[1], q[0];
ry(0.016066857209356633) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[4], q[5];
rz(x0) q[5];
cx q[4], q[5];
cx q[1], q[5];
... | null | {"circuits": [], "gradients": []} | [
"IIZIIZI",
"IIZIZII",
"IZZIIII",
"IZIIIZI",
"IIIIIZZ",
"IZIIIIZ",
"ZIZIIII",
"IIIZIZI",
"IIZIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.972856 | [
-0.3813363857066576,
1.2884274620715592,
-0.032133714418713266,
0.09283517064689825,
1.58327368008774,
1.711108093138398,
-0.9282093301962819,
1.1729171830760086,
-0.9990759259485975,
-0.6440380178700142,
0.32911813239185783,
0.029601176011270144,
0.47204676010027846,
-0.36564206081892,
... | {
"n_parameters": 41,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 28 |
3ec917cec0518de601e1392c2dcaa2e9 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 7}, {"weight": 1, "source": 1, "target... | {"states": [43605, 21930], "expectation_value": -0.11143931561462088, "params": [[-0.1731], [0.1751]], "bitstrings": ["0101010110101010", "1010101001010101"], "total_optimization_steps": 20, "probabilities": [2.363744679939724e-05, 2.363744679939726e-05], "optimization_time": 12.671003818511963} | 0.25 * (Z(0) @ Z(1)) + -0.0008264462809917356 * (Z(2) @ Z(0)) + -0.0008264462809917356 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006714876033057851 * (Z(4) @ Z(0)) + 0.0003099173553719008 * (Z(4) @ Z(2)) + -0.0006714876033057851 * (Z(5) @ Z(1)) + 0.0003099173553719008 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00030... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0190082644627636], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0190082644627343, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.012809917355203} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
ry(-0.47958232633338166) q[0];
h q[1];
cx q[1], q[0];
ry(0.47958232633338166) q[0];
cx q[1], q[0];
ry(-0.3659490799794716) q[1];
cx q[0], q[1];
ry(0.3659490799794716) q[1];
cx q[0], q[1];
ry(0.6439891815013692) q[1];
ry(0.057138121241823825) q[0];
h q[2];
ry(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h ... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0008264462809917356,
-0.0008264462809917356,
0.25,
-0.0006714876033057851,
0.0003099173553719008,
-0.0006714876033057851,
0.0003099173553719008,
0.25,
0.0003099173553719008,
-0.0009297520661157026,
-0.0008264462809917356,
0.0003099173553719008,
-0.0009297520661157026,
-0.0008264... | 0.970416 | [
-1.8332312396033952,
-1.1616710455559567,
-0.6815858531599063,
-1.012537211589953,
-0.9591646526667633,
-0.8025257577424897,
-0.20835971923947036,
-1.1686865260471542,
1.3803531618351859,
-0.571049351084144,
0.9202671123554468,
-0.7147116350732043,
0.7754467492477098,
-0.7318981599589433,
... | {
"n_parameters": 97,
"n_qubits": 16,
"optimal_eigenvalue": -2.019008264462777,
"target_ratio": 0.97,
"target_value": -1.9584380165288935
} | 112 |
c31960310eb284d493a369e45529e3bd | 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": 5, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 17, "source": 0, "target": 3}, {"weight": 16, "source": 1, "tar... | {"states": [237, 236], "expectation_value": -66.19127492517353, "params": [0.32, 0.2601, 0.7849, -0.0051, 0.7829, -0.005200000000000001, 0.7855000000000001, 0.0495, 0.3884, 0.1985, 0.788, -0.0029000000000000002, 0.7836000000000001, 0.0041, 0.0025, 0.6002000000000001, 0.3841, -0.1927, 0.3133, 0.24300000000000002, 0.7922... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(6)) + 16.5 * Z(1) ... | 18 | 9 | 4 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 172.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.667260209605278e-08) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.667260209605278e-08) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-1.667260209605278e-08) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-1.667260209605278e-08) q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] 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 fl... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZIZII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIZII",
"IIZIZIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
16.5,
7,
17.5,
12.5,
12.5,
17.5,
10.5,
9.5,
-6
] | 0.859873 | [
-1.667260209605278e-8,
1.5707964046189828,
-1.5707962989502005,
1.5707963666512932,
1.570796331640382,
1.5707964093486493,
-1.5707963413629793,
-1.570796379010887,
-1.570796324325231
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -78.5,
"target_ratio": 0.97,
"target_value": -76.145
} | 247 |
-9064799015260102294 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4, 7], [2, 3], [0, 1, 4], [5, 6], [3, 5], [0, 6, 7]]} | {"states": [229, 154], "expectation_value": -0.028512789283972512, "params": [[0.0567], [-0.0461]], "bitstrings": ["00011010", "01100101"], "total_optimization_steps": 10, "probabilities": [0.004091548074871172, 0.004091617386856723], "optimization_time": 0.6072957515716553} | 0.3333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.3333333333333333 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(7)) + 0.5 * (Z(6) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.166666666666667, "smallest_bitstrings": ["10100100", "00011010", "01100101"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.499578776949945) q[0];
h q[1];
ry(-0.2072539573098555) q[1];
h q[2];
ry(-0.15914555276306835) q[2];
h q[3];
cx q[3], q[2];
ry(0.15914555276306835) q[2];
cx q[3], q[2];
ry(-1.0265903936394274) q[2];
ry(1.3481347958977403) q[3];
cx q[0], q[3];
ry(-0.186536281... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[7];
rz(x1) q[7];
cx q[4], q[7];
cx q[0], q... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"ZIIZIIII",
"ZIIIIIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIIIIZZ",
"IIZIZIII",
"IZIIIIIZ",
"ZZIIIIII",
"IZZIIIII",
"IIIZIIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIZIII",
"IIIIIZII",
"IIIIIIZI",
"IIZIIIII",
"IZIIIIII"
] | [
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.4999999999999999,
0.3333333333333333,
0,
0,
0.16666666666666666,
0,
0.16666666666666663
] | 0.985788 | [
1.499578776949945,
-0.3182911055261367,
1.161598514009909,
-0.8626463224795381,
0.3730725637756626,
0.46584163496043485,
-0.9571964231228458,
0.7831327080743129,
-0.1312201876695805,
-0.35994392249057705,
-0.32788814231977875,
-0.3205750896119209,
0.514315108754014,
-0.414507914619711,
-... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 13 |
1309043762920882192 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 3, 4, 5], [0, 1, 2, 3, 4], [0, 1, 3, 5]]} | {"states": [59, 31], "expectation_value": -0.5012541043100662, "params": [[1.242], [-0.369]], "bitstrings": ["000100", "100000"], "total_optimization_steps": 130, "probabilities": [0.046050714569756894, 0.0460507145697569], "optimization_time": 3.4116971492767334} | 0.1 * (Z(0) @ Z(2)) + 0.1 * (Z(3) @ Z(2)) + 0.18333333333333335 * (Z(3) @ Z(0)) + 0.1 * (Z(4) @ Z(2)) + 0.1 * (Z(4) @ Z(0)) + 0.1 * (Z(4) @ Z(3)) + 0.05 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(0)) + 0.13333333333333333 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(4)) + 0.05 * (Z(1) @ Z(2)) + 0.13333333333333333 * (Z(1)... | 1 | 6 | 1 | {"smallest_eigenvalues": [-0.65, -0.65, -0.65], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.6499999999999999, "smallest_bitstrings": ["100000", "100010", "101000"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(2.7541853506865818e-08) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(2.7541853506865818e-08) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(1.570796035041281) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(2.7541853506865818e-08) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IZZIII",
"ZIIZII",
"ZIIIIZ",
"ZIZIII",
"ZZIIII",
"IIIZZI",
"IIIIZZ",
"IIZIZI",
"IZIIZI",
"ZIIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIIZI"
] | [
0.1,
0.1,
0.18333333333333335,
0.1,
0.1,
0.1,
0.05,
0.13333333333333333,
0.13333333333333333,
0.05,
0.05,
0.13333333333333333,
0.13333333333333333,
0.05,
0.08333333333333333,
0.2,
0.3249999999999999,
0.3249999999999999,
0.2,
0.22499999999999995,
0.22499999999999995
] | 0.940519 | [
2.7541853506865818e-8,
1.570796035041281,
3.84328756539148e-8,
6.60751108431157e-8,
-1.6136133274218453e-7,
1.5707959577286759,
-1.3224385275133437e-7,
1.5707963789734503,
-0.9616398291159701
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -0.65,
"target_ratio": 0.97,
"target_value": -0.6305
} | 234 |
bf001351f2bf5e55c043b36bf1cfc0ff | 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": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 3, "target": 6}, ... | {"states": [61, 57], "expectation_value": -2.097950920439776, "params": [0.0028, 0.0039000000000000003, 0.7958000000000001, 0.0066, 1.8102, 0.0031000000000000003, 1.8038, 0.0037, 1.8074000000000001, 0.0008, 1.5585, 0.009000000000000001, -0.0026000000000000003, 0.0033, 1.7988000000000002, 0.0098, 0.008, 0.00290000000000... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(7) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(4) @ Z(7) @ Z(2)) + ... | 18 | 8 | 1 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.625, "smallest_bitstrings": ["11000011", "10010110", "10100110", "11010010", "11000110"], "largest_eigenvalue": 6.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.014501327735563205) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.014501327735563205) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.014501327735563205) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.014501327735563205) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIZZZI",
"IIIZIIIZ",
"IIZIIIZI",
"IIIZIZII",
"ZIIIIZII",
"IZIIIZII",
"ZIIZIIII",
"IZIZIIII",
"ZZIIIIII",
"ZIIZIZII",
"IZIZIZII",
"ZZIIIZII",
"ZZIZIIII",
"ZZIZIZII",
"IIZIZIII",
"ZIIIZIII",
"ZIZIIIII",
"ZIZIZIII",
"IIIIIIIZ",
"IIIIIIZ... | [
0.25,
0.25,
0.25,
-0.25,
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,
-1,
-0.25,
0.125,
0,
-0.125,
-0.25,
0.125,
-0.625
] | 0.979318 | [
-0.014501327735563205,
1.0347150784178718,
-0.5692598202979595,
0.8538840510919471,
0.449639128842699,
-0.5166005433180799,
-0.5904170101921311,
0.7104836149796329,
1.0334025197694245,
-0.9166130684491123,
0.10267877018475241,
0.640899445953751,
-0.04544482157122929,
1.0068858003288548,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -64.5,
"target_ratio": 0.97,
"target_value": -62.565
} | 48 |
f0c12db79dee0b687c7216d34d2c80e9 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 6... | {"states": [1, 17], "expectation_value": -0.32512245404711193, "params": [[-0.059000000000000004, -0.0349], [0.0723, 0.0546]], "bitstrings": ["1111110", "1101110"], "total_optimization_steps": 10, "probabilities": [0.010568806836701852, 0.01078003614197414], "optimization_time": 2.6606147289276123} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(5)) + 0.75 * Z(1) + -0.25 * Z(0) + -0.5 * Z(3) + -0.75 * Z(4) + 0.7... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.25, "smallest_bitstrings": ["1101110"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.45605851751608306) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.45605851751608306) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.45605851751608306) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.45605851751608306) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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 ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"ZIIIIIZ",
"IZIIIZI",
"IZIZIII",
"IIIZZII",
"ZIIIZII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII",
"IIIIZII"
] | [
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
1.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
0.75,
-0.25,
-0.5,
-0.75,
0.75,
-0.75,
0.75
] | 0.570419 | [
-0.45605851751608306,
-0.12274039644831539,
0.1713832364029646,
1.4202059135694185,
-1.2442458492292447,
-1.3380302371622426
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 159 |
b93e7e87e2621c92c7ba04b041c49bf3 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 2}, {"weight": 14, "source": 0, "target": 4}, {"weight": 13, "source": 1, "target": 2}, {"weight": 1... | {"states": [125, 122], "expectation_value": -29.115972849019773, "params": [[0.0315, 0.011600000000000001, 0.0007, -0.02], [-0.07250000000000001, -0.0741, -0.057100000000000005, -0.043300000000000005]], "bitstrings": ["10000010", "10000101"], "total_optimization_steps": 10, "probabilities": [0.01700145551963333, 0.0202... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) @ Z(4)) + 3.5 * (Z(7) @ Z(6)) + 16.5 * Z(1) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-61.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 139.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.18095492688154305) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.18095492688154305) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.18095492688154305) q[2];
cx q[3], q[2];
rz(0.8074839178710835) q[3];
rx(1.411180127000671) 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\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IZIIIZII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
16.5,
10,
14,
13.5,
12,
7.5,
9.5,
7.5
] | 0.923411 | [
-0.18095492688154305,
0.8074839178710835,
-0.9410650216682992,
1.4111801270006712,
-0.7361957294362335,
0.4420026896995149,
0.28479132416285424,
1.0392592742276436,
-0.5347775873994031,
1.322723886363652,
-1.2976651434758002,
0.9340766908427282,
-0.730793540399182,
0.9791307353720787,
-1... | {
"n_parameters": 16,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 419 |
7785e3e7ad6fcc746d4b86c67fd57c41 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 3... | {"states": [33, 37], "expectation_value": -6.412485973078047, "params": [[[0.0053, 1.2834], [1.0461, 0.0036000000000000003], [0.0041, 1.5884], [0.0006000000000000001, 1.6292], [-0.6776, 1.0081], [0.0005, 1.4802], [-1.0470000000000002, 0.0014]], [[-0.004, 1.5446], [1.0458, 0.0036000000000000003], [-0.0024000000000000002... | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + 1.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + 1.5 * Z(4) + 2.25 * Z(1) + -2.5 * Z(3) + -1.25 * Z(5)... | 1 | 7 | 3 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["1011010", "1010010"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.4770183040301989) q[0];
h q[1];
ry(1.5600588358649419) q[1];
rz(-pi) q[2];
ry(-0.049828445060759584) q[2];
cx q[1], q[2];
ry(0.39130269635166626) q[2];
cx q[1], q[2];
ry(-0.009441086677882307) q[1];
ry(0.17246191439933098) q[2];
h q[3];
ry(-1.1835966050189... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIZIIIZ",
"IIIIZZI",
"IIZIIZI",
"IIZZIII",
"IIIZIZI",
"IZIIZII",
"IZIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.25,
-0.75,
-0.25,
-0.25,
-1.25,
-1.25,
-0.75,
-0.5,
1.25,
-1.25,
0.25,
-0.25,
1.5,
2.25,
-2.5,
-1.25,
0
] | 0.971442 | [
-1.1835966050189877,
-1.9623389505959945,
-0.3056669926877728,
0.6498635111692677,
1.5600588358649419,
-0.9540366080603978,
-1.22932207550399,
-0.7826053927033325,
-0.5557969344496055,
-0.018882173355764614,
0.4002954472560074,
1.22108309746494,
0.34492382879866196,
1.3682006687738621,
0... | {
"n_parameters": 15,
"n_qubits": 7,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 72 |
-8287491844712415094 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 9, 1], [2, 5], [8, 3], [8, 10], [9, 2, 1], [8, 9, 2], [9, 10, 6], [1, 4, 6], [2, 3], [10, 3], [3, 4, 5], [8, 4], [2, 7], [1, 5, 7], [1, 4, 5]]} | {"states": [1726, 702], "expectation_value": -4.578524602042773, "params": [1.5814000000000001, -1.2761, 2.7948, -0.7713, -0.0017000000000000001, -0.7507, 2.8009, -0.0008, 0.016, 0.6483, 2.347, -0.0029000000000000002, 2.4479, 0.0023, 2.6164, -0.0022, 2.7461, 0.0032, 2.7996000000000003, 0.0004, -0.0031000000000000003, 0... | 0.16666666666666666 * (Z(0) @ Z(9)) + 0.3333333333333333 * (Z(1) @ Z(9)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.3333333333333333 * (Z(2) @ Z(9)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(8) @ Z(9)) + 0.16666666666666666 * (Z(8) @ Z(2))... | 4 | 11 | 1 | {"smallest_eigenvalues": [-4.833333333333331], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.499999999999997, "smallest_bitstrings": ["10101000001"], "largest_eigenvalue": 11.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.1034324918350427) q[0];
rz(0.5052302816692769) q[0];
rx(2.981987665476256) q[1];
rz(0.7354980775054885) q[1];
rx(0.06255492244787662) q[2];
rz(0.630328826871354) q[2];
rx(3.080143301346055) q[3];
rz(1.6052527581322753) q[3];
rx(0.0736136374415922) q[4];
rz(2.03068... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IZIIIIIIIIZ",
"IZIIIIIIIZI",
"IIIIIIIIIZZ",
"IZIIIIIIZII",
"IIIIIIIIZZI",
"IIIIIZIIIZI",
"IIIIIZIIZII",
"IZZIIIIIIII",
"IIZIIIIIZII",
"IIIIIIIZZII",
"IIIIIZIZIII",
"IIZIIIIZIII",
"ZZIIIIIIIII",
"ZIZIIIIIIII",
"ZIIIIIIZIII",
"IZIIZIIIIII",
"IIIIZIIIIZI",
"ZIIIZIIIIII",
"IIIIIIZII... | [
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.166666... | 0.973292 | [
1.1034324918350424,
-1.06556604512562,
2.981987665476256,
-0.8352982492894079,
0.06255492244787661,
-0.9404674999235426,
3.080143301346055,
0.03445643133737934,
0.07361363744159222,
0.45988686377069454,
2.4868242509970657,
0.19359406718412667,
2.582332084277874,
0.09228284133477553,
2.63... | {
"n_parameters": 32,
"n_qubits": 11,
"optimal_eigenvalue": -4.833333333333331,
"target_ratio": 0.97,
"target_value": -4.688333333333331
} | 6 |
1191675002883320459 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 8, 3, 6], [8, 1], [2, 3], [4, 6], [4, 5], [2, 7]]} | {"states": [303, 47], "expectation_value": -2.4596107345395644, "params": [0.7334, 0.6876, -0.0041, -0.0187, 0.06620000000000001, 0.062, 1.4958, 1.4953, 0.2209, 0.07540000000000001, 1.4149, 1.2963, 1.498, 1.4905000000000002, 1.4948000000000001, 1.4809, 1.4963, 1.4964000000000002, 0.4662, 0.544, -0.21530000000000002, 0.... | 0.08333333333333333 * (Z(0) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 ... | 14 | 9 | 1 | {"smallest_eigenvalues": [-2.75, -2.75, -2.75, -2.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.666666666666667, "smallest_bitstrings": ["001010001", "011001100", "111010000", "010110010"], "largest_eigenvalue": 3.5000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[8], q[0];
rz(-0.1142794901624397) q[0];
cx q[8], q[0];
cx q[8], q[3];
rz(-0.1142794901624397) q[3];
cx q[8], q[3];
cx q[0], q[3];
rz(-0.1142794901624397) q[3];
cx q[0], q[3];
cx q[8], q[6];
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": []} | [
"ZIIIIIIIZ",
"ZIIIIZIII",
"IIIIIZIIZ",
"ZIZIIIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIIIIIIZI",
"IIIIIZZII",
"IIZIZIIII",
"IIIZZIIII",
"IZIIIIZII",
"ZIIIIIIII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIZIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII"
] | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0,
0,
0,
0,
0
] | 0.650431 | [
-0.1142794901624397,
-1.0947625302156563,
-0.28846914302058296,
0.08818784548486595,
0.7942084124907122
] | {
"n_parameters": 5,
"n_qubits": 9,
"optimal_eigenvalue": -2.75,
"target_ratio": 0.97,
"target_value": -2.6675
} | 125 |
3d599008e6d247101eb02503201a8a05 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "so... | {"states": [439, 1015], "expectation_value": -8.626190094756781, "params": null, "bitstrings": ["111001001000", "110000001000"], "total_optimization_steps": 100, "probabilities": [0.10145933749532667, 0.4400528382935296], "optimization_time": 326.45084714889526} | 0.5 * (Z(5) @ Z(9)) + 2.0 * (Z(10) @ Z(9)) + 1.0 * (Z(10) @ Z(5)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(10)) + -0.5 * (Z(2) @ Z(9)) + -1.0 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(10)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -2.0 * (Z(3) @ Z(10)) + -0.5 * (Z(3) @ Z(6)) +... | 1 | 12 | 4 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 37, "first_excited_energy": -8.5, "sm... | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.08055982018340721) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(0.08055982018340721) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(0.5225355503098899) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0805598201834072... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.5709) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];... | [
"IIZIIIZIIIII",
"IZZIIIIIIIII",
"IZIIIIZIIIII",
"IIZIIZIIIIII",
"IIIIIZZIIIII",
"IZIIIZIIIIII",
"IIZIIIIIIZII",
"IIIIIIZIIZII",
"IZIIIIIIIZII",
"IIIIIZIIIZII",
"IIZIIIIIZIII",
"IIIIIIZIZIII",
"IZIIIIIIZIII",
"IIIIIZIIZIII",
"IIIIIIIIZZII",
"IIZIIIIZIIII",
"IIIIIIZZIIII",
"IZIIIIIZI... | [
0.5,
2,
1,
0.5,
1,
1,
-0.5,
-1,
-1,
-1,
-1,
-0.5,
-2,
-0.5,
0.5,
-1,
-0.5,
-2,
-0.5,
0.5,
1,
-0.5,
-0.5,
0.5,
-0.5,
0.5,
-1,
0.5,
-0.5,
0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
1,
-0.5,
-0.5,
-0.5,
1.5,
2,
3,
2,
-2,
... | 0.869132 | [
0.08055982018340721,
-0.35470681563137524,
0.5225355503098899,
1.1234973761473965,
1.3097500534732263,
0.06301837355841679,
0.0172289539833638,
1.175101985651543,
-0.050600734974519,
-0.913335335482333,
1.0536620339595795,
1.7102271339985182,
2.127471121365935,
-0.06929635052414747,
1.03... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 500 |
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