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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
294512af72c0fecd4cefe8fd6a356b5c | 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": 1, "source": 0, "t... | {"states": [110, 109], "expectation_value": -6.343782596893934, "params": [[-0.0179, -0.0419], [0.0098, 0.0558]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.007200680089044565, 0.007531153787564515], "optimization_time": 2.8515524864196777} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 5.0 * Z(0) + 11.5 * Z(2) + 13.0 * Z(1) + -3.0 * Z(3) + 2.0 * Z(4) + 14.0 * Z(5) + 9.5 * Z(6) + 12.5 ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-59.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 111.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(0.07402068680094753) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.07402068680094753) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(0.07402068680094753) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[3], q[4];
rz(0.07402068680094753) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIIZZIII",
"IIZIIIIZ",
"IZIIIIZI",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
5,
11.5,
13,
-3,
2,
14,
9.5,
12.5
] | 0.970283 | [
0.07402068680094753,
1.5073614578039751,
-1.2666992684437206,
-1.7659760581336494,
1.1918964393531186,
-0.7174241288636667,
-1.2945818069295907,
0.640345842373991,
-2.0164039672798895,
0.906754320820238,
1.1291606588504102,
-0.0963225932464942,
-0.514025711468184,
-0.3896493296815006,
-0... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -59.5,
"target_ratio": 0.97,
"target_value": -57.714999999999996
} | 81 |
15981867526b451292338ffade4ee93e | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [105, 60], "expectation_value": -0.07447597098431269, "params": [[-0.0391, 0.0074, 0.0682], [0.0609, 0.0317, -0.0405]], "bitstrings": ["0010110", "1000011"], "total_optimization_steps": 10, "probabilities": [0.008828682040082789, 0.008828699433096384], "optimization_time": 4.048388957977295} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.2... | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["1000011", "0101001", "0010110"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.0615767063417223) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(1.0615767063417223) q[2];
cx q[1], q[2];
h q[3];
cx q[0], q[3];
rz(1.0615767063417223) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(1.0615767063417223) 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": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IIZZIIZ",
"IZIZIII",
"IZIIIZI",
"ZIZIIII",
"ZIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.5,
0,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5
] | 0.725469 | [
1.0615767063417223,
-0.31295547132631285,
-0.01907240403825381,
-2.5548485838209922,
-0.5424104057174817,
-0.020414202526432848,
0.19890450634838813,
1.7267918799232351
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 234 |
83ee17d45f4b1b4c4df32a71ac5dcbf5 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "target": 5},... | {"states": [2044, 2047], "expectation_value": -13.148906417620456, "params": null, "bitstrings": ["00000000011", "00000000000"], "total_optimization_steps": 100, "probabilities": [0.10317576632914877, 0.39529417814210344], "optimization_time": 219.29726815223694} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + -1.5 * (Z(9) @ Z(10)) + 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(7) + ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-15.5, -15.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.5, "smallest_bitstrings": ["00000000000", "00000000011"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(0.4221473262228334) q[0];
h q[1];
ry(0.00013682948572743005) q[1];
h q[2];
cx q[2], q[0];
ry(-0.4221473262228334) q[0];
cx q[2], q[0];
cx q[0], q[1];
ry(-0.00013682948572743005) q[1];
cx q[0], q[1];
ry(1.5205918504422462) q[0];
ry(0.1400869632096159) q[1];
r... | null | {"node": 11} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5706) q[9], 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];\nc... | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIIIZIZIII",
"IIIZZIIIIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIIIZIIIIII",
"IIZIIIIII... | [
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1
] | 0.970371 | [
1.510972863157803,
0.8442946524456668,
1.127883024520171,
2.090448990478521,
0.39816540368245557,
-0.29075381705851094,
0.0002736589714548601,
1.5205918504422462,
-0.8169203021967969,
1.6434525345194626,
-0.04613129651062642,
0.5260015398617965,
0.13947822951482017,
1.777479153001183,
0.... | {
"n_parameters": 50,
"n_qubits": 11,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 267 |
b2a86e79e509d0d76748a475959a4d60 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 6}, {"weight": 13, "source": 1, "target": 3}, {"weight": 3, "source": 2, "target": 3}, {"... | {"states": [205, 109], "expectation_value": -29.455126403452056, "params": [[-0.0308, -0.0122, 0.0001, 0.01], [0.0575, 0.0574, 0.0655, 0.060200000000000004]], "bitstrings": ["00110010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.019555518043758584, 0.025243058181052064], "optimization_time": 6.540... | 4.0 * (Z(0) @ Z(2)) + 4.0 * (Z(1) @ Z(2)) + 4.0 * (Z(1) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 9.5 * Z(2) +... | 1 | 8 | 4 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 145.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.10531842151091338) q[0];
cx q[3], q[0];
rz(0.4891930059834122) q[0];
rx(-0.0661317683158416) q[0];
cx q[3], q[1];
rz(0.10531842151091338) q[1];
cx q[3], q[1];
cx q[1], q[2];
rz(0.10531842151091338) q[2];
cx q[1], q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZIZI",
"IIIZIIZI",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
9.5,
0.5,
18.5,
5.5,
22,
15,
4.5,
13.5
] | 0.981939 | [
0.10531842151091338,
-0.9612079782757411,
0.4891930059834108,
-0.3889941233568148,
0.09888614070956181,
-0.06613176831584158,
-0.15982742550497311,
-0.9131467726130178,
-0.7744447103826919,
0.963045529704064,
-0.42018965464630975,
0.1277451781058455,
0.12286825244091745,
-0.142262780034014... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 44 |
2245322243908922616 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 2, 3, 5, 6, 7], [3, 5, 8, 9, 10], [0, 2, 3, 5, 6, 9], [1, 4, 7, 8, 10], [0, 2, 3, 4, 6, 7], [9, 4, 5, 7], [8, 1, 2], [3, 6, 7, 8, 9, 10], [1, 6], [0, 10, 6, 7], [0, 2, 4, 5, 10], [10, 4, 5, 6], [1, 10, 3, 5], [2, 3, 4, 5, 6, 8]]} | {"states": [509, 445], "expectation_value": -2.0856646559784684, "params": [[[1.5542, 0.0066], [0.9809, 0.008400000000000001], [2.7973000000000003, 0.0044], [2.7804, 0.0094], [1.5703, 0.0036000000000000003], [2.5097, 0.0048000000000000004], [1.7347000000000001, 0.0053], [2.7872000000000003, 0.0086], [2.7962000000000002... | 0.15000000000000002 * (Z(0) @ Z(2)) + 0.13333333333333333 * (Z(3) @ Z(2)) + 0.1 * (Z(3) @ Z(0)) + 0.15 * (Z(5) @ Z(2)) + 0.11666666666666667 * (Z(5) @ Z(0)) + 0.23333333333333334 * (Z(5) @ Z(3)) + 0.13333333333333333 * (Z(6) @ Z(2)) + 0.18333333333333335 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.1833333... | 1 | 11 | 1 | {"smallest_eigenvalues": [-3.2499999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.2166666666666672, "smallest_bitstrings": ["11001000010"], "largest_eigenvalue": 13.500000000000005} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.13722179269303322) q[0];
rz(-0.04588234333335499) q[0];
rx(-0.07819082445939549) q[1];
rz(-0.8493879308548397) q[1];
rx(3.1100943215475687) q[2];
rz(0.7656375444131527) q[2];
rx(2.802107595729108) q[3];
rz(-1.0621482948895014) q[3];
rx(0.12818286127079176) 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": []} | [
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIIIIZIIZ",
"IIIIIZIIZII",
"IIIIIZIIIIZ",
"IIIIIZIZIII",
"IIIIZIIIZII",
"IIIIZIIIIIZ",
"IIIIZIIZIII",
"IIIIZZIIIII",
"IIIZIIIIZII",
"IIIZIIIIIIZ",
"IIIZIIIZIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IIZIIIIIZII",
"IIZIIIIZIII",
"IIZIIZIIIII",
"IIZIZIIII... | [
0.15000000000000002,
0.13333333333333333,
0.1,
0.15,
0.11666666666666667,
0.23333333333333334,
0.13333333333333333,
0.18333333333333335,
0.16666666666666666,
0.18333333333333332,
0.06666666666666667,
0.15,
0.1,
0.11666666666666667,
0.18333333333333335,
0.19999999999999998,
0.11666666... | 0.979858 | [
0.13722179269303322,
-0.04588234333335499,
-0.07819082445939549,
-0.8493879308548397,
3.1100943215475687,
0.7656375444131527,
2.802107595729108,
-1.0621482948895014,
0.12818286127079176,
-0.502215605408994,
3.219996133218323,
0.1321602191399403,
3.181071050100018,
0.6560780506961368,
2.8... | {
"n_parameters": 22,
"n_qubits": 11,
"optimal_eigenvalue": -3.2499999999999996,
"target_ratio": 0.97,
"target_value": -3.1524999999999994
} | 26 |
422319ba04d136ad73513dac1d0065c7 | 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": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capaci... | {"states": [1783, 1767], "expectation_value": -10.002515709217175, "params": [-0.7475, -0.002, 0.45330000000000004, 0.003, 0.9928, 0.0033, 0.9884000000000001, 0.0006000000000000001, 0.9994000000000001, 0.0105, 0.9868, 0.005200000000000001, -0.9207000000000001, 0.003, 0.6727000000000001, 0.0032, 1.0034, 0.0111, 1.0042, ... | -1.0 * (Z(8) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(8)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(0) @ Z(8)) + -0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * ... | 6 | 12 | 1 | {"smallest_eigenvalues": [-12.875, -12.875, -12.875], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -12.625, "smallest_bitstrings": ["100110001010", "100100011000", "100100000010"], "largest_eigenvalue": 29.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.5166574351848524) q[0];
rz(1.427206026017565) q[0];
rx(0.6652927820984921) q[1];
rz(1.6153204929972311) q[1];
rx(2.5306334617267017) q[2];
rz(1.1988742149468248) q[2];
rx(-0.008157283247904035) q[3];
rz(1.0151177535238425) q[3];
rx(1.154890385314211) q[4];
rz(1.7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIIIZIIII",
"IIIIIIZZIIII",
"IIIZIIZIIIII",
"IIIIIZIZIIII",
"IIIZIZIIIIII",
"IIIIIZZIIIII",
"IIIIZIIZIIII",
"IIIZZIIIIIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIIIIIZIIIZ",
"IIIZIIIIIIIZ",
"IIZIIIIZIIII",
"IIZZIIIIIIII",
"IIZIIIZIIIII",
"IIZIIZIIIIII",
"IIZIIIIIIIIZ",
"IZIIIIIZI... | [
-1,
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,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.375,
1,
-1,
4,
4,
1.5,
-0.625,
3,
0.5,
2.25,
2.25,
0.5,
-0.125
] | 0.971317 | [
-0.5166574351848524,
-0.14359030077733115,
0.6652927820984921,
0.044524166202335104,
2.5306334617267017,
-0.3719221118480718,
-0.008157283247904035,
-0.5556785732710541,
1.1548903853142112,
0.15156788401350937,
1.981656772672947,
-0.14850940033601542,
1.1883051429482772,
-0.061917510887196... | {
"n_parameters": 57,
"n_qubits": 12,
"optimal_eigenvalue": -12.875,
"target_ratio": 0.97,
"target_value": -12.48875
} | 97 |
-9064799015260102294 | hypermaxcut | adaptive_vqe | {"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": [156, 154], "expectation_value": -2.3253157497653634, "params": null, "bitstrings": ["01100011", "01100101"], "total_optimization_steps": 46, "probabilities": [0.053189606354859434, 0.8274649856975778], "optimization_time": 61.15325665473938} | 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... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"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 |
62d59a2c57c5a5e03bc57aa993d43fe2 | 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": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [47, 45], "expectation_value": -2.876548937244532, "params": [[[-0.1826, 0.0058000000000000005], [-0.0022, 0.005200000000000001], [0.9025000000000001, 0.0318], [-0.0378, 0.045700000000000005], [0.28350000000000003, -0.3104], [0.36410000000000003, -0.4748], [-0.1809, -0.7366], [-0.7553000000000001, 0.8766]], ... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (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(5) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(2) @ Z(7)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(7... | 15 | 8 | 3 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.375, "smallest_bitstrings": ["10110001", "11010001", "11001100", "11011000", "11010010", "11110000"], "largest_eigenvalue": 6.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.0525935599156801) q[0];
rz(0.2970493753315515) q[0];
ry(-0.05280238195070901) q[1];
ry(1.9145293619602348) q[2];
ry(0.11896541183831788) q[3];
ry(1.6776262128736183) q[4];
ry(1.5989812940360673) q[5];
ry(1.6042391584874556) q[6];
ry(0.26475625811985654) q[7];
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",
"IIIZZIII",
"IIZIIIIZ",
"IZIIIIIZ",
"IZZIIIII",
"IZZIIIIZ",
"IIZIZIII",
"ZIIIIIZI",
"IIIZIZII",
"IZIIIZII",
"ZIIIIZII",
"IZIZIIII",
"ZIIZIIII",
"ZZIIIIII",
"IZIZIZII",
"ZIIZIZII",
"ZZIIIZII",
"ZZIZIIII",
"ZZIZIZII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZII... | [
0.5,
0.5,
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,
-0.75,
-0.5,
-0.125,
-0.5,
-0.125,
-0.25,
0.125,
-0.125
] | 0.981549 | [
-0.0525935599156801,
-0.05280238195070901,
1.9145293619602348,
0.11896541183831788,
1.6776262128736183,
1.5989812940360673,
1.6042391584874556,
0.26475625811985654,
0.594098750663103,
-0.5369054493384858,
-0.1577385704159672,
0.24970879240192104,
0.9304805543958563,
0.24429898188147828,
... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 12 |
9f16651ff069e7e4b10d7e6e3ea493cf | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 1, ... | {"states": [0, 127], "expectation_value": -3.8100375286424057, "params": [[[-0.0035, 0.4353], [-0.003, -0.0023], [-0.0029000000000000002, -0.003], [-0.0023, -0.0029000000000000002], [-0.0014, 0.0026000000000000003], [-0.0021000000000000003, -0.0026000000000000003], [-0.004, -0.1116], [1.6277000000000001, 0.0041]], [[-0... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(7)) + 0.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(6) + -0.75 * Z(7) + 0.5 * ... | 15 | 8 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.10963318844684469) q[0];
ry(-0.10784227629783924) q[1];
ry(0.04903416532490154) q[2];
ry(-0.06456811418837632) q[3];
ry(-0.06278920391668384) q[4];
ry(0.016083486528017166) q[5];
ry(-0.09115505483951711) q[6];
ry(3.0615251106487658) q[7];
cx q[7], q[0];
cx q[6], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IZIIZIII",
"IZIIIIIZ",
"ZIIIIIIZ",
"ZZIIIIII",
"IZIIIIZI",
"IIIIZZII",
"IIIIIZZI",
"ZIIZIIII",
"IZZIIIII",
"ZIZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII"
] | [
-0.25,
-0.5,
-0.25,
0.75,
-0.5,
-0.75,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
0,
-0.25,
0,
-0.75,
0.5,
0,
0.5,
0
] | 0.970232 | [
0.10963318844684469,
-0.10784227629783924,
0.04903416532490154,
-0.06456811418837632,
-0.06278920391668384,
0.016083486528017166,
-0.09115505483951711,
3.0615251106487658,
0.6745970847881372,
0.004343756851912965,
-0.11081314270066006,
-0.2897526101286637,
-0.016448119872728477,
-0.2862374... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 44 |
1be342b7b9f0ab3ab6191bfa0f86ee00 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [175, 173], "expectation_value": -74.24721416491872, "params": [0.3632, 0.3816, 0.9917, 0.0035, -0.0033, 0.6906, 1.0037, -0.11320000000000001, 0.2932, -0.3461, 0.9918, -0.0099, 0.9915, 0.1051, 0.5538000000000001, 0.257, 0.9881000000000001, 0.2606, 0.3613, 0.3448, 1.0012, -0.0039000000000000003, -0.0003000000... | 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(4) @ Z(1)) + 6.0 * (Z(7) @ Z(8)) + 6.0 * (Z(5) @ Z(0)) + 6.0 * (Z(5) @ Z(8)) + 6.0 * (Z(5) @ Z(7)) + 6.0 * (Z(6) @ Z(1)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(6) @ Z(8)) + 6.0 * (Z(6) @ Z(7)) + 6.0 * (Z(6) @ Z(5)) + 15.0 * Z(1) + 4.5 * Z(0) + -5.5 * Z(2) + 3.0 * Z(3) + 3.... | 18 | 9 | 3 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.5, "smallest_bitstrings": ["101010010"], "largest_eigenvalue": 167.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.1045734940991451) q[0];
rz(0.5701414394926889) q[0];
rx(0.9495788611359822) q[1];
rz(-0.09902608926056884) q[1];
rx(-0.07086494706652476) q[2];
rz(0.9099046627137765) q[2];
rx(1.082866358042942) q[3];
rz(0.016926357892796312) q[3];
rx(0.014393536433569588) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIIZI",
"ZZIIIIIII",
"IIIZIIIIZ",
"ZIIZIIIII",
"IZIZIIIII",
"IIZIIIIZI",
"IIZIZIIII",
"ZIZIIIIII",
"IZZIIIIII",
"IIZZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIZIIIII",
"IIZIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
15,
4.5,
-5.5,
3,
3.5,
14,
11,
17.5,
27.5
] | 0.970397 | [
0.10457349409914508,
0.4809181817238498,
0.9495788611359822,
-0.09902608926056884,
-0.07086494706652476,
0.9099046627137765,
1.082866358042942,
0.016926357892796312,
0.014393536433569588,
-0.4531595779069378,
1.2047639955019824,
-0.008028576300431363,
1.0931800233074993,
0.0564828408815233... | {
"n_parameters": 79,
"n_qubits": 9,
"optimal_eigenvalue": -87.5,
"target_ratio": 0.97,
"target_value": -84.875
} | 12 |
06224520ded029e940b1fde3f5ab3e3b | 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": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [35, 42], "expectation_value": -0.1163610445907387, "params": [[-0.0811], [0.0738]], "bitstrings": ["011100", "010101"], "total_optimization_steps": 10, "probabilities": [0.017526150682755814, 0.017526150682755818], "optimization_time": 0.9649279117584229} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["010101", "011100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.4604609545342588) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(0.4604609545342588) q[1];
cx q[0], q[1];
rz(-0.5961919399360327) q[0];
rx(-0.8240718412880712) q[0];
cx q[3], q[2];
rz(0.4604609545342588) q[2];
cx q[3], q[2];
h... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
cx q[1], q[4];
rz(x0) q[4]... | null | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IIIIZZ",
"IZIIZI",
"IIZZII",
"ZIZIII",
"ZIIZII",
"IIZIII",
"IIIIIZ",
"IIIIZI",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
0,
-0.5,
-0.5
] | 0.720304 | [
0.4604609545342588,
-1.0130158982300328,
-0.5961919399360321,
0.10159268481627397,
-0.8240718412880712,
1.653056793347183,
-2.4998589588665014,
-1.3174178256009759,
-0.48477462442147073
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 246 |
151037f60feb2ab36dd911279333468a | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [25, 88], "expectation_value": -3.9890916346515803, "params": null, "bitstrings": ["1100110", "0100111"], "total_optimization_steps": 32, "probabilities": [0.0607191660472404, 0.8639381839616302], "optimization_time": 26.875593662261963} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(5) + -0.5 * Z(0) + -0.5 * Z(6) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["1010110", "0100111", "1100110", "0101011", "0011011", "0010111"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-0.539452789434488) q[1];
h q[2];
cx q[2], q[1];
ry(0.539452789434488) q[1];
cx q[2], q[1];
ry(-0.5845116657967028) q[1];
ry(0.9834662797149554) q[2];
h q[3];
ry(1.5330096657731351) q[3];
ry(-0.11200390697869815) q[4];
rz(-pi) q[4];
h q[5];
ry(-1.6575... | 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", ... | [
"IZIIIIZ",
"ZIIIIIZ",
"IZIIIZI",
"IZIIZII",
"IIIIZZI",
"IZIZIII",
"IZZIIII",
"ZIZIIII",
"IIZZIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-1
] | 0.993425 | [
-1.6575525822630313,
-1.449926247916613,
1.5330096657731351,
-0.9691702254542486,
-1.078905578868976,
0.7709667434794807,
0.7760692036349812,
-0.5005787858870715,
0.7322163787030611,
-0.45679582590987716,
0.41479415215994836,
-0.459057514051594,
-0.2554316797736514,
0.3373200785540253,
0... | {
"n_parameters": 26,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
4201747125381448037 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[10, 3, 6], [1, 2, 6], [1, 10, 7], [8, 1, 7], [1, 3], [0, 2, 5], [9, 4, 6], [8, 10, 4], [8, 3, 7], [0, 4, 5], [0, 9], [9, 3], [8, 0, 3], [8, 0, 10], [9, 7], [2, 3, 6], [9, 10, 4], [8, 10, 3], [0, 8, 5], [2, 7], [3, 5, 6]]} | {"states": [1847, 823], "expectation_value": -3.5792203950448767, "params": [0.637, 0.6613, 1.0472000000000001, 1.073, 1.4537, 1.4915, 0.45740000000000003, 0.4539, 0.6578, 0.6782, 1.4857, 1.4934, 1.482, 1.4887000000000001, 0.2836, 0.27940000000000004, 1.4941, 1.4948000000000001, 0.5691, 0.7185, 1.4867000000000001, 1.48... | 0.3333333333333333 * (Z(10) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(10)) + 0.5 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(10)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.3333333333333333 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.1666666... | 14 | 11 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.166666666666668, "smallest_bitstrings": ["10011001000"], "largest_eigenvalue": 18.499999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.06912385476470743) q[0];
rz(pi/2) q[0];
ry(2.194080327880725) q[1];
ry(1.1376193949281692) q[2];
ry(-0.11362977720462761) q[3];
ry(-0.08067964866597303) q[4];
ry(1.369202254898711) q[5];
ry(1.6708625576069076) q[6];
ry(0.045302529113406514) q[7];
ry(1.12191834508... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"ZIIIIIIZIII",
"IIIIZIIZIII",
"ZIIIZIIIIII",
"IIIIIIIZIZI",
"ZIIIIIIIIZI",
"IIIIZIIIIZI",
"IIIIIIIZZII",
"IIIIZIIIZII",
"IIIIIIIIZZI",
"IIIZIIIZIII",
"ZIIZIIIIIII",
"IIIZIIIIIZI",
"IIIZIIIIZII",
"IIZIIIIZIII",
"ZIZIIIIIIII",
"IIZIIIIIIZI",
"IIZZIIIIIII",
"IIIIIIIZIIZ",
"ZIIIIIIII... | [
0.3333333333333333,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.5,
0.5,
0.16666666666666666,
0.3333333333333333,
0.1666666... | 0.974317 | [
-0.06912385476470743,
2.194080327880725,
1.1376193949281692,
-0.11362977720462761,
-0.08067964866597303,
1.369202254898711,
1.6708625576069076,
0.045302529113406514,
1.12191834508955,
-0.23737138820299203,
1.4064408252836544,
-0.09474158854807664,
0.6192673902570145,
-0.003844324796705198,... | {
"n_parameters": 44,
"n_qubits": 11,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 62 |
e9e1c3bad7671d416f508c960af260f6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 3... | {"states": [33, 1], "expectation_value": -1.3315052041467408, "params": [[0.0545, 0.06860000000000001, 0.0721, 0.069], [-0.0235, -0.0534, -0.062200000000000005, -0.0562]], "bitstrings": ["1011110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.023124580006688714, 0.023510492334724634], "optimization_t... | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + 0.25 * Z(4) + -0.25 * Z(0) + 0.0 * Z(5) + -1.0 * Z(2) + 0.25 * Z(1) + -0.5 * Z(3) + 1.25 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.25, "smallest_bitstrings": ["1111110", "1011110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.5744169391312657) q[0];
h q[1];
ry(-0.05753664395928477) q[2];
rz(-pi) q[2];
rz(-pi) q[3];
ry(-0.024728804110098233) q[3];
ry(-0.05753664395928477) q[4];
rz(-pi) q[4];
h q[5];
ry(-1.5744169391312657) q[5];
h q[6];
ry(1.5912199140774594) q[6];
cx q[6], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIZIIIZ",
"IZIIIIZ",
"IIZIZII",
"IZIIZII",
"IIIIZZI",
"IZIZIII",
"IIIZZII",
"ZIZIIII",
"ZIIIIIZ",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII"
] | [
-0.75,
-0.5,
-0.75,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
1.5,
0.25,
-0.25,
0,
-1,
0.25,
-0.5,
1.25
] | 0.999378 | [
1.5912199140774594,
-1.5744169391312657,
-1.485651063635235,
-1.5624441216083338,
-0.06616201859332208,
-0.05521723840075406
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 1 |
6bafdfefe9c58b49ec570eb8d3c23bdb | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 16, "source": 1, "target": 6}, {"weight": 6, "source": 2, "target": 3}, {"weight": ... | {"states": [500, 372], "expectation_value": -94.63137476051108, "params": [0.0018000000000000002, 0.4464, 0.0053, 0.4489, 0.6963, 0.0786, 0.6974, 0.0402, 0.41340000000000005, -0.1602, 0.4189, -0.1704, 0.6964, 0.1124, 0.6998000000000001, 0.0896, 0.6977, 0.1222, 0.6929000000000001, 0.1023, 0.6948000000000001, 0.1212, 0.6... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(7) @ Z(3)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(6) @ Z(7)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(9) @ Z(3)) + 5.5 * (Z(9) @ Z(5)) + 5.5 * (Z(9) ... | 5 | 10 | 2 | {"smallest_eigenvalues": [-111.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -97.5, "smallest_bitstrings": ["1010001011"], "largest_eigenvalue": 188.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.17405841041551856) q[0];
rz(0.6311258921924772) q[0];
rx(0.8504730673322163) q[1];
rz(0.2236134796932987) q[1];
rx(0.2932077402432787) q[2];
rz(-0.41878392419711385) q[2];
rx(0.5157471032796489) q[3];
rz(0.2651321780120073) q[3];
rx(0.869795092650368) 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": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIZIZIII",
"IIIIZIIZII",
"IIIIIZIZII",
"IIIIZZIIII",
"IIZIIIZIII",
"IIZIZIIIII",
"IIZIIZIIII",
"IIIZIZIIII",
"IIZZIIIIII",
"IZIIIIIIZI",
"ZIIIIIZIII",
"ZIIIZIIIII",
"ZIZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIZIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
8,
-5,
21,
8.5,
24.5,
18,
22.5,
4,
-4,
6.5
] | 0.973367 | [
-0.17405841041551862,
0.38920775850224415,
0.8504730673322163,
0.2187065942664568,
0.29320774024327867,
-0.3965595775061784,
0.5157471032796488,
0.1789545501001429,
0.869795092650368,
0.3966684485345682,
0.7778002153022023,
0.19458330093397738,
0.1761956379508246,
-0.1222546797055212,
0.... | {
"n_parameters": 98,
"n_qubits": 10,
"optimal_eigenvalue": -111.5,
"target_ratio": 0.97,
"target_value": -108.155
} | 38 |
fd959b015d7c5b50b2cd05831ed95a60 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [53, 61], "expectation_value": -2.9463793507031726, "params": [0.0006000000000000001, 0.6545000000000001, 0.10890000000000001, 0.5052, 0.796, 0.0241, 0.7283000000000001, 0.0533, 0.4451, 0.020300000000000002, 0.7885000000000001, -0.0045000000000000005, -0.004200000000000001, -0.455, 0.7807000000000001, 0.0066... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(1) @ Z(5)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(2) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(2) @ Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) ... | 18 | 8 | 4 | {"smallest_eigenvalues": [-3.375, -3.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.375, "smallest_bitstrings": ["11000010", "10101000"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.2814273479283241) q[0];
cx q[5], q[0];
rz(0.988627421386453) q[0];
rx(-1.6100914394477277) q[0];
cx q[5], q[1];
rz(-0.2814273479283241) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(-0.2814273479283241) q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IIIZIIZI",
"IIZIIIZI",
"IIZZIIII",
"IIZZIIZI",
"IZIIIZII",
"ZIIIIZII",
"ZZIIIIII",
"ZZIIIZII",
"IZIZIIII",
"IIIIZIIZ",
"IIZIIIIZ",
"ZIIIIIIZ",
"IIZIZIII",
"ZIIIZIII",
"ZIZIIIII",
"IIZIZIIZ",
"ZIIIZIIZ",
"ZIZIIIIZ",
"ZIZIZII... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.625,
0,
0,
0.125,
-0.25,
0.125,
-0.25,
0.125
] | 0.793132 | [
-0.2814273479283241,
-2.083999084261337,
0.9886274213864532,
-0.2943566891904666,
-0.17545221926890683,
-1.6100914394477277,
0.44025124807503524,
1.5189639182857877,
-0.6158615151039641,
-0.2722032415841509,
-0.7056736669533165
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 249 |
-9116500539204960892 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[2, 10], [8, 11, 5], [0, 4], [1, 11], [3, 11], [1, 6], [1, 7], [9, 11], [12, 5]]} | {"states": [5362, 5346], "expectation_value": -3.6355681113130887, "params": [1.3899000000000001, 1.3903, 0.1841, 0.1825, 1.3496000000000001, 1.3435000000000001, 0.1968, 0.1937, 0.1826, 0.18480000000000002, 1.3953, 1.4018000000000002, 1.3908, 1.3896000000000002, 1.3902, 1.3892, 0.7537, 0.7586, 0.1897, 0.197, 0.2348, 0.... | 0.5 * (Z(2) @ Z(10)) + 0.16666666666666666 * (Z(8) @ Z(11)) + 0.16666666666666666 * (Z(5) @ Z(11)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(11)) + 0.5 * (Z(3) @ Z(11)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(9) @ Z(11)) + 0.5 * (Z(12) @ Z(5)) + 0.0 * Z(10) + 0.0 * Z(2... | 13 | 13 | 1 | {"smallest_eigenvalues": [-4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333], "number_of_smallest_eigenvalues": 12, "first_excited_... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(1.6852582433949255) q[0];
rz(0.3563663667297261) q[0];
ry(-0.23977618821539737) q[1];
ry(1.6383049633430105) q[2];
ry(-0.016115930982119428) q[3];
ry(0.11323285753187859) q[4];
ry(1.9422858360657254) q[5];
ry(1.4341100263105622) q[6];
ry(1.5479476493692033) 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": []} | [
"IIZIIIIIIIZII",
"IZIIZIIIIIIII",
"IZIIIIIZIIIII",
"IIIIZIIZIIIII",
"IIIIIIIIZIIIZ",
"IZIIIIIIIIIZI",
"IZIIIIIIIZIII",
"IIIIIIZIIIIZI",
"IIIIIZIIIIIZI",
"IZIZIIIIIIIII",
"ZIIIIIIZIIIII",
"IIZIIIIIIIIII",
"IIIIIIIIIIZII",
"IZIIIIIIIIIII",
"IIIIZIIIIIIII",
"IIIIIIIZIIIII",
"IIIIIIIIZII... | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0.16666666666666674,
0.16666666666666666,
0.16666666666666663,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.972416 | [
1.6852582433949255,
-0.23977618821539737,
1.6383049633430105,
-0.016115930982119428,
0.11323285753187859,
1.9422858360657254,
1.4341100263105622,
1.5479476493692033,
0.40798631914911554,
0.1093260363806973,
0.16707654234272828,
1.5957098710025166,
0.14482258442746718,
0.7127327334594522,
... | {
"n_parameters": 49,
"n_qubits": 13,
"optimal_eigenvalue": -4.333333333333333,
"target_ratio": 0.97,
"target_value": -4.203333333333333
} | 11 |
08b0cbf4dac1f991b95c2f432664a22c | community_detection | 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": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 6}, {"weight": 1, "source": 1, "target... | {"states": [42410, 21930], "expectation_value": -2.0007156183776384, "params": [[[3.1590000000000003, 0.006200000000000001], [-1.6147, 0.003], [3.1620000000000004, 0.0027], [-1.6108, 0.0081], [3.161, 0.0039000000000000003], [1.619, 0.0034000000000000002], [3.1602, 0.0037], [-0.0154, 0.0014], [3.1588000000000003, 0.0047... | 0.25 * (Z(0) @ Z(1)) + -0.0008749999999999999 * (Z(2) @ Z(0)) + -0.0008749999999999999 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.000375 * (Z(4) @ Z(0)) + -0.0010000000000000002 * (Z(4) @ Z(2)) + 0.000375 * (Z(5) @ Z(1)) + -0.0010000000000000002 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0008749999999999999 * (Z(6) @ ... | 2 | 16 | 1 | {"smallest_eigenvalues": [-2.022999999999971], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0229999999999313, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.018249999999997} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(3.1105679046873593) q[0];
rz(-0.05121846279679204) q[0];
rx(-1.5971079581578476) q[1];
rz(0.16080537915593981) q[1];
rx(3.1951286532249417) q[2];
rz(-0.03541805135246324) q[2];
rx(-1.6252803044215243) q[3];
rz(-0.1633419734076561) q[3];
rx(3.208166104537925) 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[... | {"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,
-0.0008749999999999999,
-0.0008749999999999999,
0.25,
0.000375,
-0.0010000000000000002,
0.000375,
-0.0010000000000000002,
0.25,
-0.0008749999999999999,
0.00025000000000000006,
-0.0010000000000000002,
-0.0008749999999999999,
0.00025000000000000006,
-0.0010000000000000002,
0.25,
... | 0.98822 | [
3.1105679046873593,
-0.05121846279679204,
-1.5971079581578476,
0.16080537915593981,
3.1951286532249417,
-0.03541805135246324,
-1.6252803044215243,
-0.1633419734076561,
3.208166104537925,
0.17264989740211875,
1.7013681916917631,
0.11511974923429305,
3.1520236012807725,
0.014198456940397305,... | {
"n_parameters": 32,
"n_qubits": 16,
"optimal_eigenvalue": -2.022999999999971,
"target_ratio": 0.97,
"target_value": -1.9623099999999716
} | 1 |
69f8cd3d82c8c8a705ea1003fa425ab5 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 4, "target": 7},... | {"states": [2047, 2046], "expectation_value": -3.247209049236396, "params": [[-0.0879], [0.0814]], "bitstrings": ["00000000000", "00000000001"], "total_optimization_steps": 10, "probabilities": [0.0012055388842396337, 0.0012403520137599425], "optimization_time": 1.3773202896118164} | -2.0 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(0)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(4) @ Z(7)) + -2.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + -3.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + -2.5 * (Z(8) @ Z(5)) + -3.0 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(4)) + -2.5 * (Z(9) @ Z(5)) + -2.... | 1 | 11 | 1 | {"smallest_eigenvalues": [-29.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["00000000001"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.06871320041788104) q[0];
rz(0.02403526968678593) q[0];
rx(0.1757979927915544) q[1];
rz(0.09005726582206265) q[1];
rx(0.0727500925463703) q[2];
rz(0.007773099346719235) q[2];
rx(0.6625222809148761) q[3];
rz(-0.35816320416543646) q[3];
rx(0.1928905583290142) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[2], ... | {"node": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIIIZZ",
"IIIZIIZIIII",
"IIIZIZIIIII",
"IIIIIZZIIII",
"IIZZIIIIIII",
"IIZIIIZIIII",
"IIZIIZIIIII",
"IZIZIIIIIII",
"IZIIIIZIIII",
"IZIIIZIIIII",
"IZZIIIIIIII",
"IIIZZIIIIII",
"IIIIZZIIIII",
"IIZIZIIIIII",
"IZIIZIIII... | [
-2,
0.5,
-1.5,
-1.5,
0.5,
-2.5,
-2.5,
0.5,
-3,
0.5,
-2.5,
-3,
0.5,
-2.5,
-2.5,
1,
1,
-2.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.975643 | [
-0.06871320041788104,
0.02403526968678593,
0.1757979927915544,
0.09005726582206265,
0.0727500925463703,
0.007773099346719235,
0.6625222809148761,
-0.35816320416543646,
0.1928905583290142,
0.15210761636990652,
0.08233554905523893,
-0.16390476532265694,
-0.267439631907905,
0.0412431241356614... | {
"n_parameters": 19,
"n_qubits": 11,
"optimal_eigenvalue": -29.5,
"target_ratio": 0.97,
"target_value": -28.615
} | 16 |
5a1527813da7c534130c872b3bb3e98c | 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": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, ... | {"states": [236, 109], "expectation_value": -9.582055420699614, "params": null, "bitstrings": ["00010011", "10010010"], "total_optimization_steps": 62, "probabilities": [0.07632024801692329, 0.6620715813116066], "optimization_time": 91.00595569610596} | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + 1.25 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(3) @ Z(6)) + 0.0 * Z(4) + -0.25 * Z(0) + -2.25 * Z(6... | 1 | 8 | 1 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.29304397876910926) q[0];
cx q[4], q[0];
h q[5];
h q[6];
cx q[4], q[6];
rz(0.02674098017791228) q[6];
cx q[4], q[6];
cx q[0], q[6];
cx q[4], q[1];
rz(-0.04175429471611432) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(... | 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... | [
"IIIZIIIZ",
"IZIZIIII",
"IZIIIIIZ",
"IIIZIIZI",
"IZIIIIZI",
"IIIZIZII",
"IZIIIZII",
"ZIIIIIIZ",
"ZIIIIZII",
"IIZZIIII",
"IZZIIIII",
"IZIIZIII",
"IIIZIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"ZIIIIIII",
"IIZIIIII",
"IIIIZIII"
] | [
-0.25,
-0.75,
-0.75,
-0.5,
-0.5,
-1,
-0.75,
1.25,
-1.25,
-1,
-0.5,
-1,
0,
-0.25,
-2.25,
1,
1,
0,
1.5,
-1
] | 0.971046 | [
0.29304397876910926,
0.02674098017791228,
-0.04175429471611432,
0.31653577106034975,
-0.7674656124835568,
0.11950634229219104,
-0.8301752525936286,
0.7774601513321433,
-0.3757443019400376,
-0.4588934753783208,
1.4706729354158479,
0.367692223145139,
0.11452940949680336,
-0.16572355263815042... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 167 |
726a5ae01318539d56f80c3be6bbd791 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [1242, 1502], "expectation_value": -2.985694493513399, "params": null, "bitstrings": ["01100100101", "01000100001"], "total_optimization_steps": 100, "probabilities": [0.06306196579520189, 0.6625597524668825], "optimization_time": 425.42706966400146} | 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)) + 0.125 * (Z... | 1 | 11 | 4 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.625, "smallest_bitstrings": ["00010101000", "00011000010", "01000100001", "01000010010", "00100100100", "10000000110"], "largest_eigenvalue": 5.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.26735938862423486) q[0];
rz(0.10893230624247693) q[0];
ry(0.1491965529302104) q[1];
ry(0.1605882734467805) q[2];
ry(0.5179101632285602) q[3];
ry(0.44091074970939437) q[4];
ry(0.20939928831505905) q[5];
ry(1.2941176658595661) q[6];
ry(0.9604711128290605) q[7];
ry(-... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(-1.1871) q[9], 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... | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIIIIZZZ",
"IIIIIIIZIZZ",
"IIIIIIIZZIZ",
"IIIIIIIZZZI",
"IIIIIIIZZZZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIZIIIIIZ",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIZZIIIZ",
"IIIIZIZII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
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0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
... | 0.97497 | [
0.26735938862423486,
0.1491965529302104,
0.1605882734467805,
0.5179101632285602,
0.44091074970939437,
0.20939928831505905,
1.2941176658595661,
0.9604711128290605,
-0.3821283109988437,
1.7024078434950567,
0.054818503108896285,
0.21786461248495387,
-0.7416832374606571,
-0.39822474854642687,
... | {
"n_parameters": 126,
"n_qubits": 11,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 62 |
9b8c0ccb32d0f88d964f624767035a96 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [1, 9], "expectation_value": -3.215516246148923, "params": [[-0.0631, -0.053700000000000005, -0.0707, -0.0637], [0.0713, 0.0572, 0.0663, 0.0648]], "bitstrings": ["11111110", "11110110"], "total_optimization_steps": 10, "probabilities": [0.018377062125514564, 0.021209927482517796], "optimization_time": 5.2888... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + 2.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.5 * Z(4) + -0.75 * Z(6) + 0.75 * Z(2) + -1.0 * Z(3) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["11110110"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.39636875710932784) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.025445399608615533) q[2];
cx q[1], q[2];
rz(0.7435363741497949) q[1];
rx(1.5892963016699295) q[1];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.025383228227577177) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIIZ",
"IZIIIIIZ",
"IIIIIZZI",
"IIIZZIII",
"IIIIZZII",
"IIZIIZII",
"IIZIZIII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-0.75,
-0.5,
-0.75,
-1.25,
-0.25,
-0.75,
-0.25,
-1.5,
2.25,
-0.75,
-1,
-0.25,
0.5,
-0.75,
0.75,
-1,
0.25,
1.5
] | 0.928057 | [
0.39636875710932784,
-0.025383228227577177,
-0.025445399608615533,
0.48494604258427165,
-0.12110685350730785,
-0.06267444957194843,
0.7435363741497948,
-0.5272969720301025,
0.8112275368431179,
0.6305407508444273,
-0.6721587925890405,
1.5892963016699295,
0.6494780915974173,
-0.0574263798070... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 500 |
3066191854966720140 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 3, 4, 5], [2, 3, 4, 6], [0, 1, 4, 6], [1, 2, 5]]} | {"states": [121, 87], "expectation_value": -0.420709009410916, "params": [[0.3806], [-0.38420000000000004]], "bitstrings": ["0000110", "0101000"], "total_optimization_steps": 40, "probabilities": [0.014288288738491979, 0.014342478937909237], "optimization_time": 5.083229064941406} | 0.13333333333333333 * (Z(0) @ Z(1)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(3) @ Z(0)) + 0.13333333333333333 * (Z(4) @ Z(1)) + 0.13333333333333333 * (Z(4) @ Z(0)) + 0.13333333333333333 * (Z(4) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(4)) + 0.1666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.0333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0333333333333332, "smallest_bitstrings": ["0101000"], "largest_eigenvalue": 4.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.02941158091725815) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.05384292867474226) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.05384292867474226) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.02941158091725815) 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 ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIZIII",
"IZZIIII",
"IIIIZZI",
"IIIZZII",
"IIZIZII",
"IZIIZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIZIII",
"ZIZIIII",
"ZIIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"III... | [
0.13333333333333333,
0.05,
0.05,
0.13333333333333333,
0.13333333333333333,
0.13333333333333333,
0.21666666666666667,
0.05,
0.05,
0.05,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
... | 0.976544 | [
-0.02941158091725815,
-0.05384292867474226,
3.1487192160357464,
0.13036576447403173,
-0.04642951767781685,
-1.4628308558113248,
1.450385005103748,
-1.6983758823205193,
1.3942752749527199,
1.637739924767358,
1.7835885669800169,
-1.5866926368272807
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -1.0333333333333334,
"target_ratio": 0.97,
"target_value": -1.0023333333333333
} | 75 |
ab0784fbffbb4b626ba9d99841d2b14f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [1372, 1404], "expectation_value": -4.139873027788769, "params": [[[1.0469, -0.0018000000000000002], [-0.001, 0.9466], [1.0452000000000001, 0.0027], [0.10110000000000001, 0.5807], [1.0453000000000001, 0.0023], [0.5613, -0.010100000000000001], [1.0318, -0.0038], [1.0406, -0.0021000000000000003], [1.0432000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 1 | 11 | 3 | {"smallest_eigenvalues": [-4.625, -4.625, -4.625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.625, "smallest_bitstrings": ["01000110010", "01000101100", "01010000011"], "largest_eigenvalue": 7.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(1.7273199020767764) q[0];
ry(3.042659136195943) q[0];
rz(-1.5878353997749601) q[0];
rz(-2.733347261037527) q[1];
ry(0.0026485178743068443) q[1];
rz(-1.743341729647647) q[1];
rz(1.6620367306114137) q[2];
ry(3.096058271218296) q[2];
rz(-1.641096063887632) q[2];
rz(0.3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIIIZZIIZ",
"IIIIIZIZIIZ",
"IIIIIZZIIIZ",
"IIIIIZZZIII",
"IIIIIZZZIIZ",
"IIIIIIIZZII",
"IIIIZIIIZII",
"IIIZIIIIZII",
"IIIIZIIZI... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125... | 0.970003 | [
1.050503481765616,
0.008517963688172286,
0.02559617152024627,
0.8599828772819351,
1.0386971956546474,
0.002399385446632006,
0.03967030520755195,
0.5919234306003227,
1.0474213433218194,
0.12510881579224384,
0.9371914871392573,
0.13411740186810295,
1.0801586562762653,
0.05021180002296151,
... | {
"n_parameters": 53,
"n_qubits": 11,
"optimal_eigenvalue": -4.625,
"target_ratio": 0.97,
"target_value": -4.48625
} | 6 |
9d0fda9991561362ccfc12e66c38b9f5 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [19, 50], "expectation_value": -2.998868606127394, "params": [[[1.5583, 0.0028], [1.6544, -0.0029000000000000002], [-0.0019, -0.0022], [0.055600000000000004, -0.0316], [0.4892, -0.4889], [1.6007, 1.5590000000000002]]], "bitstrings": ["101100", "001101"], "total_optimization_steps": 170, "probabilities": [0.2... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(2) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(5) + -1.0 * Z(3) + -0.5 * Z(4) | 15 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "011100", "001011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.05915602651802649) q[0];
rz(-0.15469163530750052) q[0];
rx(3.4191362901712914) q[1];
rz(0.45246714787639103) q[1];
rx(0.17983961904902268) q[2];
rz(-0.05096309531274679) q[2];
rx(3.0050058723652) q[3];
rz(1.0763901855253808) q[3];
rx(3.085973281590634) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
ry(x0) q[0];
ry(x1... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIIZZI",
"ZIIZII",
"ZIIIZI",
"IIZZII",
"ZIZIII",
"IZIZII",
"IZZIII",
"IIIZII",
"IIIIIZ",
"IIIIZI",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-0.5,
-1,
-1,
-0.5
] | 0.971457 | [
-0.05915602651802648,
-0.1292100876511263,
3.4191362901712914,
0.45246714787639103,
0.17983961904902268,
-0.05096309531274679,
3.0050058723652,
1.0763901855253808,
3.085973281590634,
0.20126058805128294,
3.3609533359992207,
0.3973179116121901,
0.08371651178469919,
-0.042244168201899246,
... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 21 |
27e77dc99416ada4c5d281f5cb59d253 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4... | {"states": [64, 63], "expectation_value": -0.15126941323902643, "params": [[0.0651], [-0.060500000000000005]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.0090640022300942, 0.009182982691056312], "optimization_time": 2.0049283504486084} | -0.25 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(4)) + -1.0 * Z(3) + -0.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.75, -5.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.75, "smallest_bitstrings": ["1000000", "1001000"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.001861280777779208) q[0];
ry(-0.5773662085055048) q[1];
ry(-0.10758590765451301) q[2];
ry(0.021903783796151637) q[3];
ry(-0.008785686069597308) q[4];
ry(-0.055595892079957104) q[5];
ry(2.7673418599787256) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
c... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"ZIIIIIZ",
"ZIIIIZI",
"IIIZZII",
"IIIIZZI",
"IIZZIII",
"ZIZIIII",
"IIZIIZI",
"IIZIZII",
"IZIZIII",
"IZIIIZI",
"IZIIZII",
"IZZIIII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII",
"IZIIIII"
] | [
-0.25,
0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
-1,
-0.25,
-0.5,
1.5,
-0.5,
0.5,
0.25
] | 0.977551 | [
-0.001861280777779208,
-0.5773662085055048,
-0.10758590765451301,
0.021903783796151637,
-0.008785686069597308,
-0.055595892079957104,
2.7673418599787256,
0.05934540510533431,
0.06567533265908135,
-0.0026966537146873096,
0.0024350819685033907,
-0.12588591029733984,
-0.04433102940974164,
-0.... | {
"n_parameters": 25,
"n_qubits": 7,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 21 |
-5747535397863514016 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[2, 3], [3, 5, 6, 9, 10], [0, 8], [1, 12], [3, 4], [10, 7], [2, 11]]} | {"states": [5288, 855], "expectation_value": -1.483059611385195, "params": [[[1.3960000000000001, 1.3965], [1.0857, 1.3987], [0.1696, 0.7896000000000001], [-0.614, 1.4034], [-0.6256, 1.3682], [1.4023, 1.3962], [1.3931, 1.4047], [1.4108, 1.4048], [1.4098000000000002, 0.743], [1.3995, 1.3907], [1.4036, 1.0246], [1.4109, ... | 0.5 * (Z(5) @ Z(6)) + 0.05 * (Z(8) @ Z(6)) + 0.05 * (Z(9) @ Z(6)) + 0.05 * (Z(9) @ Z(8)) + 0.05 * (Z(12) @ Z(6)) + 0.05 * (Z(12) @ Z(8)) + 0.05 * (Z(12) @ Z(9)) + 0.05 * (Z(2) @ Z(6)) + 0.05 * (Z(2) @ Z(8)) + 0.05 * (Z(2) @ Z(9)) + 0.05 * (Z(2) @ Z(12)) + 0.5 * (Z(0) @ Z(11)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(7) @ Z(6))... | 15 | 13 | 1 | {"smallest_eigenvalues": [-3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(1.5504833114497458) q[0];
ry(1.5412307942636794) q[1];
ry(-1.5992161014837505) q[2];
ry(-1.6002742290822582) q[3];
ry(-1.4896525054626095) q[4];
ry(1.5837157137750348) q[5];
ry(1.4962772102225035) q[6];
ry(1.570502296881058) q[7];
ry(1.556180236111796) q[8];
ry(1.64... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIIZZIIIII",
"IIIIZIZIIIIII",
"IIIZIIZIIIIII",
"IIIZZIIIIIIII",
"ZIIIIIZIIIIII",
"ZIIIZIIIIIIII",
"ZIIZIIIIIIIII",
"IIIIIIZIIIZII",
"IIIIZIIIIIZII",
"IIIZIIIIIIZII",
"ZIIIIIIIIIZII",
"IZIIIIIIIIIIZ",
"IIIIIIIIZIIZI",
"IIIIIZZIIIIII",
"IIZIIIIIIIZII",
"IIIIIIIZIZIII",
"IIIIIIZIIII... | [
0.5,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.5,
0.5,
0.5,
0.5,
0.5,
0.10000000000000009,
0,
0.1,
0.1,
0.1,
0.09999999999999998,
0,
0,
0,
0,
0,
0,
0
] | 0.975744 | [
1.5504833114497458,
1.5412307942636794,
-1.5992161014837505,
-1.6002742290822582,
-1.4896525054626095,
1.5837157137750348,
1.4962772102225035,
1.570502296881058,
1.556180236111796,
1.642471967598674,
1.5395887511746775,
1.598752228409627,
1.6199934718268347,
1.4976621771548697,
1.3420643... | {
"n_parameters": 26,
"n_qubits": 13,
"optimal_eigenvalue": -3.2,
"target_ratio": 0.97,
"target_value": -3.104
} | 84 |
1dcb3c744ddd55658248ce3c7196418c | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}]} | {"states": [56947, 56955], "expectation_value": -16.2042739989409, "params": [1.5769, 1.5743, 1.5716, 1.5656, 0.6766, 0.6778000000000001, 0.8775000000000001, 0.8806, 1.5714000000000001, 1.5693000000000001, 1.5948, 1.588, 0.9352, 0.928, 0.6908000000000001, 0.6811, 0.6941, 0.6890000000000001, 0.9114000000000001, 0.907600... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7... | 13 | 16 | 1 | {"smallest_eigenvalues": [-19.999999999999897], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999854, "smallest_bitstrings": ["0010000110000100"], "largest_eigenvalue": 68.00000000000023} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(1.0652804248318555) q[0];
rz(-0.4790339043757319) q[0];
rx(0.9745577300577288) q[1];
rz(0.29346053770470665) q[1];
rx(0.0157130110860835) q[2];
rz(0.618448567596635) q[2];
rx(1.0308831125161482) q[3];
rz(0.23627299479722735) q[3];
rx(1.1756644845217723) q[4];
rz(0.3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIZI",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZIIIIIIZ",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
... | 0.970132 | [
1.0652804248318557,
-0.3214709232980808,
0.9745577300577288,
0.29346053770470665,
0.0157130110860835,
0.618448567596635,
1.0308831125161482,
0.23627299479722735,
1.1756644845217723,
0.3067858491711559,
1.00009586838585,
-0.016079870551915385,
1.0041750502695932,
-0.3884080547291887,
0.19... | {
"n_parameters": 137,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999897,
"target_ratio": 0.97,
"target_value": -19.3999999999999
} | 19 |
92e0d9744e7b0376f2c61fec7a621b77 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [104, 105], "expectation_value": -1.6054997040431827, "params": [0.5057, 0.0035, 0.5048, 0.020800000000000003, 0.197, -0.0879, 0.5008, 0.0256, 0.22440000000000002, 0.29200000000000004, -0.0009000000000000001, 0.376, 0.4238, 0.007200000000000001, 0.5029, 0.005200000000000001, 0.5033, -0.003, 0.1932, -0.111300... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0) @ Z(3)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(1) @ Z(4)) ... | 16 | 7 | 4 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["0010110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.5133697055041112) q[0];
h q[1];
ry(1.6084249374386541) q[1];
h q[2];
ry(1.6084249374386541) q[2];
ry(-0.053550572212937055) q[3];
rz(-pi) q[3];
ry(-0.053550572212937055) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[0];
ry(0.5133697055041112) q[0];
cx q[5], q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIZZIII",
"IIIZIIZ",
"IZIIIIZ",
"IZIZIII",
"IZIZIIZ",
"IIZIIZI",
"ZIIIIZI",
"ZIZIIII",
"ZIZIIZI",
"ZIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
0,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25
] | 0.992524 | [
-1.5021443221766975,
1.6084249374386541,
-1.0267394110082224,
0.7506936281381614,
-0.5870557688839062,
0.4771553588124247,
-0.38953925180142007,
0.19253854567295237,
0.02981104842832527,
0.18877927704919473,
0.13517748060633164,
-0.03020286481052407,
-0.11241436734008918
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
d30c0386d8d3b385abfc19e03f7b5ca3 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [430, 374], "expectation_value": -0.0433897478535743, "params": [[0.0664], [-0.054400000000000004]], "bitstrings": ["001010001", "010001001"], "total_optimization_steps": 10, "probabilities": [0.0021664908695188958, 0.0021664908695188992], "optimization_time": 9.033059120178223} | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.4375, -3.4375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.4375, "smallest_bitstrings": ["010001001", "001010001"], "largest_eigenvalue": 5.5625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.02172569596093698) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.02172569596093698) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.02172569596093698) q[2];
cx q[0], q[2];
rz(1.736499027868886) q[2];
rx(-1.6454317969910583) q[2];
h q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IIIZZIIII",
"IIZIZIIII",
"IZIIZIIII",
"IIZZIIIII",
"IZIZIIIII",
"IZZIIIIII",
"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0... | 0.988948 | [
-0.02172569596093698,
-1.632171019885014,
-1.5273591642926907,
1.736499027868886,
-1.63086528192634,
-1.6454317969910583
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 32 |
ff12bd2c4927dd09879cd9143bdb8472 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 2}, {"weight": 17, "source": 1, "target": 5}, {"weight": 4... | {"states": [119, 118], "expectation_value": -10.356852588465852, "params": [[0.0334, 0.026600000000000002], [-0.037200000000000004, -0.0419]], "bitstrings": ["10001000", "10001001"], "total_optimization_steps": 10, "probabilities": [0.007598200079574721, 0.0085970988075054], "optimization_time": 3.8951563835144043} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) @ Z(5)) + 3.5 * (Z(7) @ Z(6)) + 15.5 * Z(1) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-68.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 140.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.05402196679930514) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.05402196679930514) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.05402196679930514) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.05402196679930514) q[3];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZIZII",
"IIZIIIZI",
"IIZZIIII",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIIIZIII",
"ZIZIIIII",
"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,
15.5,
5,
15.5,
8.5,
9,
16.5,
13.5,
8
] | 0.973272 | [
-0.05402196679930514,
1.9309508006179656,
-1.1087691465097824,
1.1365272156861124,
-0.9576550446646068,
1.3475536784622788,
1.6787387413020332,
-0.8076971171792336,
-1.040413476265019,
0.17535856771882383,
-0.3398795500131562,
-0.12376385071992982,
0.5838218808104491,
-0.18493009400659796,... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -68.5,
"target_ratio": 0.97,
"target_value": -66.445
} | 74 |
-4339936397662410778 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[5, 7], [0, 5], [1, 2, 3, 4, 5, 6], [0, 1, 3, 4, 6, 7], [1, 2, 4, 7], [0, 2, 3, 4, 6, 7], [0, 1, 2, 3, 6, 7]]} | {"states": [217, 203], "expectation_value": -0.5571339161264204, "params": [[-0.28340000000000004], [0.2625]], "bitstrings": ["00100110", "00110100"], "total_optimization_steps": 30, "probabilities": [0.007624242670657123, 0.007624242670657125], "optimization_time": 39.03433179855347} | 0.5 * (Z(5) @ Z(7)) + 0.1 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(5)) + 0.15 * (Z(1) @ Z(7)) + 0.03333333333333333 * (Z(1) @ Z(5)) + 0.06666666666666667 * (Z(1) @ Z(0)) + 0.15 * (Z(2) @ Z(7)) + 0.03333333333333333 * (Z(2) @ Z(5)) + 0.06666666666666667 * (Z(2) @ Z(0)) + 0.15 * (Z(2) @ Z(1)) + 0.1 * (Z(3) @ Z(7)) + 0.033333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.9166666666666663], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9166666666666659, "smallest_bitstrings": ["00110100"], "largest_eigenvalue": 5.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[5];
rz(-0.9757819257875568) q[5];
cx q[7], q[5];
cx q[7], q[0];
rz(-0.015888697122510842) q[0];
cx q[7], q[0];
cx q[5], q[0];
rz(-0.9757819257875568) q[0];
cx q[5], q[0];
cx q[7], q[1];
rz(-0.253... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"ZIZIIIII",
"ZIIIIIIZ",
"IIZIIIIZ",
"ZIIIIIZI",
"IIZIIIZI",
"IIIIIIZZ",
"ZIIIIZII",
"IIZIIZII",
"IIIIIZIZ",
"IIIIIZZI",
"ZIIIZIII",
"IIZIZIII",
"IIIIZIIZ",
"IIIIZIZI",
"IIIIZZII",
"ZIIZIIII",
"IIZZIIII",
"IIIZIIIZ",
"IIIZIIZI",
"IIIZIZII",
"IIIZZIII",
"ZZIIIIII",
"IZZIIII... | [
0.5,
0.1,
0.5,
0.15,
0.03333333333333333,
0.06666666666666667,
0.15,
0.03333333333333333,
0.06666666666666667,
0.15,
0.1,
0.03333333333333333,
0.1,
0.1,
0.1,
0.15,
0.03333333333333333,
0.06666666666666667,
0.15,
0.15,
0.1,
0.1,
0.03333333333333333,
0.1,
0.1,
0.1,
... | 0.712938 | [
-0.9757819257875568,
-0.015888697122510842,
-0.2533866231770269,
0.18895580721098576,
-0.1439416865657834,
-0.15117051957619615,
-0.09091151612718477,
0.14098947372806894,
-0.12012272603490082,
-0.8375003947171228,
-1.2562801402852297,
0.8486079459415812
] | {
"n_parameters": 12,
"n_qubits": 8,
"optimal_eigenvalue": -1.9166666666666663,
"target_ratio": 0.97,
"target_value": -1.8591666666666662
} | 282 |
7f5a9dfb1e236bee4145d5b6dc87f612 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 5}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [61, 59], "expectation_value": -5.039686247725103, "params": [[[0.0022, 0.0016], [0.0051, -0.0063], [-0.6907, 2.2989], [1.5621, 1.5292000000000001], [0.5873, 1.5284], [2.2968, 0.37410000000000004], [-1.5691000000000002, 1.5665], [0.0025, 1.5751000000000002]]], "bitstrings": ["11000010", "11000100"], "total_o... | -0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -1.0 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(0) @ Z(5)) + -1.0 * (Z(0) @ Z(6)) + -0.5 * Z(1) + 1.5 * Z(5) + -0.5 * Z(2) + 3.0 * Z(6) + 0.5 * Z(3) + 0.0... | 15 | 8 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["10100100", "11000100"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.757060425932339) q[0];
h q[1];
ry(0.5571476883083074) q[1];
h q[2];
ry(-0.7757331894833571) q[2];
h q[3];
ry(0.5571476883083074) q[3];
h q[4];
h q[5];
cx q[5], q[1];
ry(-0.5571476883083074) q[1];
cx q[5], q[1];
ry(-0.45153744158202225) q[5];
h q[6];
ry(1.5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIIZI",
"IIIIIZZI",
"IIZIIZII",
"IZIIIIZI",
"IZZIIIII",
"IZIIIZII",
"ZIIIZIII",
"IIIZZIII",
"ZIIZIIII",
"IIZIIIIZ",
"IZIIIIIZ",
"IIIIIIZI",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII",
"IIIIZIII",
"ZIIIIIII",
"IIIZIIII",
"IIIIIIIZ"
] | [
-0.5,
0.5,
-0.5,
-1,
2,
-1,
-0.5,
0.5,
-0.5,
-0.5,
-1,
-0.5,
1.5,
-0.5,
3,
0.5,
0,
0.5,
-1.5
] | 0.970262 | [
1.551025847539175,
1.1142953766166148,
-1.514120851864678,
-0.9030748831640445,
1.0604963305167354,
1.1320609964259831,
0.4832606820012933,
-1.2695992048912437,
-1.5514663789667142,
0.7560951237958784,
0.6790527832433262,
0.2954535073205394,
0.22125758791669647,
-0.13766859132785303,
-0.... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 9 |
e592ce7faa840b360149bc8638b2e9c9 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target":... | {"states": [1024, 1023], "expectation_value": -34.56603027755544, "params": [[[0.0073, 0.0027], [0.0012000000000000001, 0.0026000000000000003], [-0.0066, -0.0028], [0.007500000000000001, 0.0022], [0.0048000000000000004, 0.0022], [0.0051, 0.0021000000000000003], [0.006500000000000001, 0.0019], [0.0056, 0.002400000000000... | -0.5 * (Z(0) @ Z(5)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(3) @ Z(5)) + -1.25 * (Z(3) @ Z(1)) + -1.75 * (Z(8) @ Z(5)) + -0.5 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(3)) + -0.5 * (Z(9) @ Z(5)) + -2.75 * (Z(9) @ Z(1)) + 0.75 * (Z(2) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.75 * (Z(4) @ Z(3)) + -1.25 * (Z(4) @ Z(9)) + -1.25 * (Z(6)... | 15 | 11 | 2 | {"smallest_eigenvalues": [-35.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.25, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 34.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.04392888876233193) q[0];
ry(-0.017859497813997757) q[1];
ry(-0.11643674680785449) q[2];
ry(-0.024207222425446352) q[3];
ry(0.11222092112919897) q[4];
ry(-0.08990565499827662) q[5];
ry(-0.014835137797377607) q[6];
ry(0.21634507276662202) q[7];
ry(0.139904933578344... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIIZ",
"IIIIIZIIIZI",
"IIIIIZIZIII",
"IIIIIIIZIZI",
"IIZIIZIIIII",
"IIZIIIIIIZI",
"IIZIIIIZIII",
"IZIIIZIIIII",
"IZIIIIIIIZI",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIZZIII",
"IZIIIIZIIII",
"IIIIZZIIIII",
"IIIIZIIIIZI",
"IIIIZIIZIII",
"IZIIZIIIIII",
"IIIIZIIIZII",
"IIIZIIIII... | [
-0.5,
-0.75,
-0.5,
-1.25,
-1.75,
-0.5,
-0.75,
-0.5,
-2.75,
0.75,
-0.75,
-1.75,
-1.25,
-1.25,
-1.75,
-2,
-1.25,
-0.75,
-1.75,
-1.75,
-1.75,
-3,
-0.75,
-0.75,
-1.75,
-1.25,
-2.25,
-0.5,
-0.25,
-2,
4.25,
-4.25,
-1.5,
-0.75,
-1.75,
3.5,
0,
3.25
] | 0.971193 | [
-0.04392888876233193,
-0.017859497813997757,
-0.11643674680785449,
-0.024207222425446352,
0.11222092112919897,
-0.08990565499827662,
-0.014835137797377607,
0.21634507276662202,
0.13990493357834405,
-0.025059884732109336,
1.7918694958233812,
0.008529869598211233,
0.014591085061521472,
-0.01... | {
"n_parameters": 35,
"n_qubits": 11,
"optimal_eigenvalue": -35.25,
"target_ratio": 0.97,
"target_value": -34.1925
} | 23 |
3c43fad289ff6d9c1e98931284c05895 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [51, 179], "expectation_value": -4.9006031298686255, "params": [0.6025, 0.0009000000000000001, -0.004200000000000001, -0.26890000000000003, 0.5994, 0.0013000000000000002, 0.6017, 0.0023, 0.004200000000000001, -0.2564, 0.1942, -0.11280000000000001, 0.6, 0.0028, 0.6092000000000001, -0.004200000000000001, 0.608... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + -2.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(3... | 4 | 8 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["01001100"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.772518494822479) q[0];
rz(1.6357694941572207) q[0];
rx(0.21625745017466808) q[1];
rz(1.0662142404048573) q[1];
rx(0.7124865304775742) q[2];
rz(1.6133330214414379) q[2];
rx(0.9956218825676468) q[3];
rz(1.7490840785089654) q[3];
rx(-0.10490620767677193) q[4];
rz(1.49... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIZZIIII",
"IIIIIZZI",
"IIIIZIZI",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-1.5,
-1,
0,
0,
-1,
-0.5
] | 0.970199 | [
0.7725184948224791,
0.06497316736232431,
0.21625745017466808,
-0.5045820863900392,
0.7124865304775742,
0.042536694646541764,
0.9956218825676468,
0.17828775171406888,
-0.10490620767677193,
-0.07685638425874597,
0.08351139679339209,
0.011769621343431791,
0.9736116126938728,
0.052753757409095... | {
"n_parameters": 65,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 14 |
0b5f0e96c66f1fe8afca6f37edd06ab2 | 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": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [21, 22], "expectation_value": -5.499900322692359, "params": null, "bitstrings": ["1101010", "1101001"], "total_optimization_steps": 30, "probabilities": [1.7187860834351576e-05, 0.9999500705847443], "optimization_time": 38.21472787857056} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1101001"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.1500635382209095e-08) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(1.1500635382209095e-08) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(1.1500635382209095e-08) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(1.1500635382209095e-08)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIZIII",
"ZIIIIZI",
"ZZIIIII",
"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,
0.5,
-2,
-1.5,
-1.5,
-1,
-1.5,
-1,
0
] | 0.818182 | [
1.1500635382209095e-8,
-1.5707963292766471,
1.570796321214452,
1.5707962870051804,
-1.5707962808666522,
1.5707962941657407
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 171 |
bbe36c72142a04c8b1698fed3f77c25c | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 3}, {"weight": 16, "source": 0, "target": 2}, {"weight": 12, "source": 0, "target": 4}, {"weight": 18, "source... | {"states": [117, 61], "expectation_value": -10.558672701754881, "params": [[0.0517, -0.0088], [-0.054, -0.0204]], "bitstrings": ["0001010", "1000010"], "total_optimization_steps": 10, "probabilities": [0.014690513416184579, 0.015093142378734983], "optimization_time": 3.4825973510742188} | 3.0 * (Z(0) @ Z(1)) + 3.0 * (Z(2) @ Z(1)) + 3.0 * (Z(2) @ Z(0)) + 3.0 * (Z(3) @ Z(1)) + 3.0 * (Z(3) @ Z(0)) + 3.0 * (Z(3) @ Z(2)) + 3.0 * (Z(4) @ Z(0)) + 3.0 * (Z(4) @ Z(2)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) @ Z(4)) + 3.0 * (Z(6) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.0, "smallest_bitstrings": ["1000010"], "largest_eigenvalue": 140.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.016228639223514973) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.016228639223514973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.016228639223514973) q[2];
cx q[0], q[2];
rz(-1.196649630207868) q[0];
rx(1.6249956830407981) q[0];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "near_perfect", "extra": "{\"n\": 5}"} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIIZ",
"IIZIZII",
"IZIIIZI",
"IZIIZII",
"IZZIIII",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
14,
11,
21,
12,
15,
6.5,
15.5
] | 0.981439 | [
-0.016228639223514973,
1.522688419965938,
-1.1966496302078677,
1.624995683040798,
-0.8755811242009026,
0.7452257823272057,
0.2393407597375708,
0.22077208961471634
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 31 |
6e27c825b578bdc34d46b278685ce298 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 7}, {"capacity": 3, "source": 0, "target": 9}, {"capac... | {"states": [41, 169], "expectation_value": -22.874367707939538, "params": [[[-0.0026000000000000003, 1.597, 0.0002, 0.0018000000000000002], [0.0029000000000000002, 1.3501, -0.0027, 0.0079], [-0.8296, 1.0113, 0.0055000000000000005, 1.0050000000000001], [0.0063, 1.5343, 0.002, 0.0026000000000000003], [2.0259, -0.00450000... | -0.5 * (Z(0) @ Z(3)) + -1.25 * (Z(7) @ Z(0)) + 2.0 * (Z(9) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(7)) + -0.75 * (Z(5) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -1.25 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(5)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(7)) + -1.25 * (Z(2) @ ... | 12 | 10 | 2 | {"smallest_eigenvalues": [-24.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.25, "smallest_bitstrings": ["1101010110"], "largest_eigenvalue": 17.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.02588134688681191) q[0];
rz(-0.002875099022831489) q[0];
ry(-0.02588134688681191) q[1];
ry(-1.3144522944941073) q[2];
ry(0.05786322026437553) q[3];
ry(2.0039603991160697) q[4];
ry(-0.020815638617393103) q[5];
ry(3.115250672394726) q[6];
ry(-0.0454810203739918) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIZIIIIIIZ",
"ZIIIIIIIIZ",
"IIIIIIZIZI",
"IIZIIIIIZI",
"IIZIZIIIII",
"IIIIZIIIZI",
"IZIIIIZIII",
"IZZIIIIIII",
"IZIIIIIIZI",
"IZIIZIIIII",
"IIIIIIZZII",
"IIZIIIIZII",
"IIIIIIIZZI",
"IIIIZIIZII",
"ZIIIIZIIII",
"IIIIIZIZII",
"IIIZIIZIII",
"IIIZIIIIZI",
"IIIZZIIIII"... | [
-0.5,
-1.25,
2,
-1,
-0.5,
-0.75,
-1.5,
-1.25,
-0.5,
-0.75,
-0.75,
-0.25,
-0.5,
-1.25,
-0.5,
-0.75,
-2,
-0.25,
-1.25,
-0.75,
-1,
-1,
-0.75,
-0.25,
-1,
1.25,
-1.25,
-1.75,
-2.75,
1,
1.25,
4.25
] | 0.982027 | [
-0.02588134688681191,
-1.3144522944941073,
0.05786322026437553,
2.0039603991160697,
-0.020815638617393103,
3.115250672394726,
-0.0454810203739918,
1.5273488783416482,
-0.005750198045662978,
2.8598473440870893,
2.277316628375472,
-0.9628406402643637,
2.8897114141337714,
0.6971036435387551,
... | {
"n_parameters": 33,
"n_qubits": 10,
"optimal_eigenvalue": -24.25,
"target_ratio": 0.97,
"target_value": -23.5225
} | 8 |
4b84faaad3bf7a7580aeb2d06aa05d30 | 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": 7, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 3}, {"weight": 18, "source": 0, "target": 6}, {"weight": 15, "source": 0, "tar... | {"states": [245, 242], "expectation_value": -44.22549334142625, "params": [[-0.027800000000000002, 0.0038, 0.0029000000000000002, -0.0064], [0.07780000000000001, 0.0786, 0.0639, 0.0516]], "bitstrings": ["100001010", "100001101"], "total_optimization_steps": 10, "probabilities": [0.010177855095099553, 0.0124565515752303... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-91.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.5, "smallest_bitstrings": ["100001101"], "largest_eigenvalue": 201.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.6443048231322337) q[0];
rz(0.006560768441313605) q[0];
ry(-0.027382260011189343) q[1];
rz(-0.7560049664427597) q[1];
cz q[1], q[0];
ry(0.9810391421707605) q[0];
rz(0.06776315940811514) q[0];
ry(-0.027308400411524384) q[1];
ry(0.0265417769160132) q[2];
rz(-0.1634300... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIZIIIZI",
"IIZIIIZII",
"IIZIZIIII",
"IZIIIIZII",
"IZIIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
18.5,
12.5,
25.5,
22.5,
16,
-0.5,
8.5,
19,
3
] | 0.97263 | [
0.6443048231322337,
0.006560768441313605,
-0.027382260011189343,
-0.7560049664427597,
0.0265417769160132,
-0.16343002633692252,
0.7535600767425178,
-0.009680950261477334,
-0.5862013133244105,
0.334164896560638,
0.40367329899142573,
-0.20895155023113984,
-0.11005399046168386,
-0.29806456352... | {
"n_parameters": 81,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 12 |
bc0e661f197725267ce5e0973269ca51 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [469, 405], "expectation_value": -120.9518452171742, "params": [[[1.5689000000000002, 0.8669], [0.0555, 0.8703000000000001], [1.3722, 0.16870000000000002], [0.8703000000000001, 0.18710000000000002], [0.6564, 0.2652], [-0.0594, 0.1563], [0.9174, 0.3532], [0.0829, 0.933], [0.0067, 1.4440000000000002], [-0.0048... | 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(1) @ Z(3)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(8) @ Z(0)) + 7.0 * (Z(7) @ Z(8)) + 7.0 * (Z(10) @ Z(2)) + 7.0 * (Z(10) @ Z(0)) + 7.0 * (Z(10) @ Z(8)) + 7.0 * (Z(9) @ Z(10)) + 29.5 * Z... | 15 | 11 | 2 | {"smallest_eigenvalues": [-134.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -116.0, "smallest_bitstrings": ["11001101010"], "largest_eigenvalue": 201.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.5669731677684735) q[0];
ry(0.047865585651732934) q[1];
ry(1.3085101067257128) q[2];
ry(1.100747190485754) q[3];
ry(0.05807090023653764) q[4];
ry(-0.01563724424309265) q[5];
ry(0.876082707375212) q[6];
ry(0.07266717893404467) q[7];
ry(-0.08554406899690414) q[8];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIZIZII",
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIIIZIZI",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIZIIIIIZII",
"IIZIIIIIIIZ",
"IIZZIIIIIII",
"ZIIIIIIIZII",
"ZIIIIIIIIIZ",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIIZ",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIIIIIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
29.5,
9.5,
12,
16.5,
-5,
9,
-2,
20.5,
-2.5,
22,
-6.5
] | 0.971964 | [
1.5669731677684735,
0.047865585651732934,
1.3085101067257128,
1.100747190485754,
0.05807090023653764,
-0.01563724424309265,
0.876082707375212,
0.07266717893404467,
-0.08554406899690414,
0.05770541462814193,
0.15291792904907456,
1.1687523339555679,
0.010242579879034664,
0.030394684423111745... | {
"n_parameters": 43,
"n_qubits": 11,
"optimal_eigenvalue": -134,
"target_ratio": 0.97,
"target_value": -129.98
} | 26 |
5352a77ee8029c0a1cc2f13dec084536 | 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": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "target": 5}, {"source": 6, "target": 7}, {"sour... | {"states": [0, 252], "expectation_value": -6.646064727536553, "params": [0.4811, 0.8280000000000001, 0.34090000000000004, 1.0469, -0.2938, 0.7258, 0.3687, 0.6055, 0.44580000000000003, 0.8508, 0.38730000000000003, 0.9105000000000001, -0.49910000000000004, 1.1954, 0.4277, 1.0603, -0.47740000000000005, 1.1320000000000001,... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 1.0 * Z(7) + -1.0 * Z(6) | 6 | 8 | 3 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.5, "smallest_bitstrings": ["00000011", "00000000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.26689391520476863) q[0];
rz(1.8815634171615123) q[0];
rx(0.005065105466946079) q[1];
rz(1.2054426963734217) q[1];
rx(0.07691469426052921) q[2];
rz(2.302801022221014) q[2];
rx(-0.042495521522279374) q[3];
rz(1.1610870004133922) q[3];
rx(-0.030371797638472753) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1
] | 0.97488 | [
0.2668939152047687,
0.3107670903666161,
0.005065105466946079,
-0.3653536304214746,
0.07691469426052921,
0.7320046954261172,
-0.04249552152227937,
-0.4097093263815043,
-0.030371797638472753,
0.23229577934773035,
0.0747166405240893,
0.8857088456591191,
0.04521062899081855,
0.6358595752718514... | {
"n_parameters": 80,
"n_qubits": 8,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 122 |
-4593296184882121000 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2, 6], [1, 2, 4, 5, 7], [4, 6], [0, 1, 5, 6, 7], [3, 4, 5, 7], [0, 3, 6, 7], [0, 1, 3, 4, 5], [0, 1, 2, 3, 5], [2, 3, 7], [1, 2, 3, 4, 5], [0, 2, 4, 7]]} | {"states": [211, 217], "expectation_value": -2.6955090169602043, "params": null, "bitstrings": ["00101100", "00100110"], "total_optimization_steps": 42, "probabilities": [0.0568412435392702, 0.9128627280000604], "optimization_time": 58.10403633117676} | 0.23333333333333334 * (Z(0) @ Z(1)) + 0.23333333333333334 * (Z(2) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(0)) + 0.13333333333333333 * (Z(6) @ Z(1)) + 0.21666666666666667 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.15000000000000002 * (Z(4) @ Z(1)) + 0.13333333333333333 * (Z(4) @ Z(0)) + 0.18333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.749999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4666666666666677, "smallest_bitstrings": ["00100110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-2.8544248314348395) q[0];
rz(-pi) q[0];
h q[1];
ry(1.333844683033372) q[1];
h q[2];
ry(-0.41340575106086863) q[2];
h q[3];
ry(0.9110280589620443) q[3];
h q[4];
h q[5];
ry(-0.4064947597453673) q[5];
cx q[3], q[5];
ry(0.4064947597453673) q[5];
cx q[3], q[5];
cx q[3], ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5471) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IZIZIIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IZZIIIII",
"IIZZIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZZIIIIII",
"ZIIZIIII",
"ZIZIIIII",
"IIIIZIZI",
"IIIIZII... | [
0.23333333333333334,
0.23333333333333334,
0.21666666666666667,
0.13333333333333333,
0.21666666666666667,
0.08333333333333333,
0.15000000000000002,
0.13333333333333333,
0.18333333333333335,
0.5,
0.25,
0.15000000000000002,
0.15000000000000002,
0.05,
0.23333333333333334,
0.1,
0.21666666... | 0.983901 | [
1.6169309381998695,
1.333844683033372,
0.9110280589620443,
-0.7165940043152044,
0.7585657146433616,
-0.5347353841175946,
0.4023366424332505,
-0.5299290989136303,
-0.8129895194907346,
1.0452611814817871,
-0.8268115021217373,
0.47673464631631113,
0.3290861347052214,
-0.4996501554678856,
0.... | {
"n_parameters": 35,
"n_qubits": 8,
"optimal_eigenvalue": -2.749999999999999,
"target_ratio": 0.97,
"target_value": -2.667499999999999
} | 1 |
1087628691529607799 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 3], [2, 7], [0, 4], [4, 5], [5, 7], [0, 1], [0, 6]]} | {"states": [23, 151], "expectation_value": -0.38557137087181714, "params": [0.6807000000000001, 0.6851, 0.8068000000000001, 0.8958, 0.5017, 0.49000000000000005, 0.6001000000000001, 0.5431, 0.9016000000000001, 0.9026000000000001, 0.6338, 0.6124, 0.8941, 0.887, 0.8995000000000001, 0.8982, 0.9023, 0.8988, 0.66980000000000... | 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.0 * Z(3) + 0.0 * Z(8) + 0.0 * Z(7) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(6) | 14 | 9 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["101101000", "101001001", "010010111", "010110110"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.021841195437179897) q[0];
rz(pi/2) q[0];
ry(1.0521818357093542) q[1];
ry(0.12097974821478075) q[2];
ry(-1.1175659994472933) q[3];
ry(1.1013226258020572) q[4];
ry(-0.9079458917768244) q[5];
ry(1.5049158723333067) q[6];
ry(1.2106016519135572) q[7];
ry(1.284544904926... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"ZIIIIZIII",
"IZIIIIZII",
"IIIIZIIIZ",
"IZIZIIIII",
"IIIZZIIII",
"IIIIIIIZZ",
"IIZIIIIIZ",
"IIIIIZIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIIIIZI",
"IIZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.970984 | [
-0.021841195437179897,
1.0521818357093542,
0.12097974821478075,
-1.1175659994472933,
1.1013226258020572,
-0.9079458917768244,
1.5049158723333067,
1.2106016519135572,
1.284544904926494,
0.038948899470855024,
1.7518843049387471,
0.2408198060099387,
0.6934687558544629,
0.06055833924426289,
... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 67 |
0df4df25c74ca38eb293288a64f6d090 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 2}, {"weight": 2, "source": 2, "target": 3}, {"weight": 16, "source": 2, "target": 6}, {"... | {"states": [94, 93], "expectation_value": -17.52930818743147, "params": [[-0.046900000000000004, 0.013800000000000002, -0.0307], [0.07930000000000001, 0.0239, 0.0514]], "bitstrings": ["10100001", "10100010"], "total_optimization_steps": 10, "probabilities": [0.012765421158963432, 0.01710088799803983], "optimization_tim... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 10.0 * Z(1) + -3.0 * Z(0) + 9.0 * Z(2) + 16.0 * Z(3) + 1... | 1 | 8 | 3 | {"smallest_eigenvalues": [-66.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.0, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 127.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.13472719791426957) q[0];
rz(0.7621816108220933) q[0];
rx(0.9797023371778154) q[1];
rz(-0.03741898136041918) q[1];
rx(0.2553948032372724) q[2];
rz(0.2997483345010804) q[2];
rx(0.98149266171691) q[3];
rz(0.021241621987064273) q[3];
rx(0.98018860069722) q[4];
rz(-0.03... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IIIIZIZI",
"IIIIZZII",
"IIIZIZII",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIZIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
10,
-3,
9,
16,
11,
17.5,
4.5,
14
] | 0.976159 | [
0.13472719791426957,
0.8849967245068193,
0.9797023371778154,
-0.03741898136041918,
0.2553948032372724,
0.2997483345010804,
0.98149266171691,
0.021241621987064273,
0.98018860069722,
-0.037920716797769566,
0.9975135743893738,
-0.1428992541318086,
0.34355392559505205,
0.18303063785957543,
1... | {
"n_parameters": 70,
"n_qubits": 8,
"optimal_eigenvalue": -66,
"target_ratio": 0.97,
"target_value": -64.02
} | 8 |
ca80e7bc065a00b914c2c9d06f44ffa1 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 2}, {"capac... | {"states": [1023, 511], "expectation_value": -21.25036093821919, "params": [[[0.0029000000000000002, -0.0054], [0.0027, 0.0027], [0.008, 0.0023], [0.012400000000000001, 0.0024000000000000002], [0.0034000000000000002, 0.0022], [0.006200000000000001, 0.0023], [0.0057, 0.0023], [0.0025, 0.0024000000000000002], [0.0008, 0.... | -0.5 * (Z(0) @ Z(1)) + -1.75 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(0)) + -1.75 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(8)) + -1.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(8)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(8)) + -0.75 * (Z(5) @ Z(2)) + -1.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(7)... | 15 | 10 | 2 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 28.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.050684531284915346) q[0];
ry(0.03099147111837173) q[1];
ry(0.05067581908538551) q[2];
ry(-0.08752191458302097) q[3];
ry(0.005911991574954194) q[4];
ry(-0.06210906065904837) q[5];
ry(-0.061933546342875276) q[6];
ry(0.002973208468364033) q[7];
ry(0.0191231212372353... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IZIIIIIIZI",
"IZIIIIIIIZ",
"IIIIIIIZZI",
"IZIIIIIZII",
"IIIIIIZIZI",
"IZIIIIZIII",
"IIIIIIZZII",
"IIIIZIIIZI",
"IZIIZIIIII",
"IIIIZIIZII",
"IIIZIIIIZI",
"IIIZIIIZII",
"IIZIIIIIZI",
"IZZIIIIIII",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"ZIIIZIIIII",
"IZIIIZIIII"... | [
-0.5,
-1.75,
-0.75,
-1.75,
-1.25,
-1.5,
-0.25,
-0.75,
-0.75,
-1.25,
-0.75,
-1.5,
-0.5,
-0.5,
-0.5,
-1.25,
1.5,
-1,
-0.25,
-0.75,
-1.25,
-1.5,
-1.5,
-0.75,
6,
-0.25,
-1,
1,
-0.5,
-1.25,
0,
-2,
-1.75,
-0.25
] | 0.970637 | [
-0.050684531284915346,
0.03099147111837173,
0.05067581908538551,
-0.08752191458302097,
0.005911991574954194,
-0.06210906065904837,
-0.061933546342875276,
0.002973208468364033,
0.01912312123723536,
1.8257581049313576,
0.027797217508821533,
-0.005372903415874432,
0.006598645722923105,
0.0505... | {
"n_parameters": 33,
"n_qubits": 10,
"optimal_eigenvalue": -22,
"target_ratio": 0.97,
"target_value": -21.34
} | 29 |
6451792423400178014 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 3, 5], [1, 2, 3], [0, 2, 4, 5], [1, 4], [3, 4]]} | {"states": [11, 53], "expectation_value": -0.017990043785172452, "params": [[0.0543], [-0.044000000000000004]], "bitstrings": ["110100", "001010"], "total_optimization_steps": 10, "probabilities": [0.0160355264873089, 0.016086127591895878], "optimization_time": 1.736361026763916} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.25 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.416666666666667, "smallest_bitstrings": ["001010"], "largest_eigenvalue": 3.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.3466665892327578) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.03346641129301682) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.029489183545592063) q[3];
cx q[0], q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-0.3466665892327578) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[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",
"ZIIZII",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"IIZIZI",
"IZIZII",
"IZIIIZ",
"IZZIII",
"ZZIIII",
"IZIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
0.16666666666666666,
0.25,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.5,
0.41666666666666663,
0.24999999999999994,
0.2916666666666666... | 0.616494 | [
-0.3466665892327578,
0.03346641129301682,
0.029489183545592063,
1.0878948459745355,
1.8886617997249733,
2.444084872116069,
0.07300271861260174,
0.08959473029798143,
-0.9036452949495117
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -1.75,
"target_ratio": 0.97,
"target_value": -1.6975
} | 220 |
26d7f56e59bfdf48052023802b40605b | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [25, 28], "expectation_value": -2.999937482249151, "params": null, "bitstrings": ["00110", "00011"], "total_optimization_steps": 20, "probabilities": [1.635611710952993e-05, 0.9999687418118111], "optimization_time": 10.928578615188599} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(3) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["00011"], "largest_eigenvalue": 5.0} | 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 | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IZIIZ",
"IZIZI",
"ZZIII",
"ZIIZI",
"ZIZII",
"IZIII",
"IIIIZ",
"IIIZI",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-0.5,
-1,
0
] | 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 |
aaa0b19e64bf3c35281517d1fd2e9593 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}]} | {"states": [39, 23], "expectation_value": -1.9596600416048564, "params": [0.8951, -0.3598, 0.8885000000000001, 0.0053, 0.9068, -0.156, 0.9003, 0.0061, -0.0063, 0.5081, -0.0061, 0.0009000000000000001, 0.9025000000000001, -0.1015, 0.9054000000000001, 0.0051, 0.9064000000000001, -0.10160000000000001, 0.9003, 0.00580000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.5 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 5 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["011000", "101000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3082490255491387) q[0];
cx q[1], q[0];
rz(-0.4813792428916286) q[0];
rx(-0.0708269652138156) q[0];
h q[2];
cx q[1], q[2];
rz(0.3082490255491387) q[2];
cx q[1], q[2];
rz(0.38370389231516544) q[1];
rx(-0.07082696521381568) q[1];
cx q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIZZII",
"ZIIZII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1.5,
0,
0,
0
] | 0.977854 | [
0.3082490255491387,
0.3837038923151648,
-0.48137924289163025,
0.26332802912302594,
-0.07082696521381564,
-0.3050505286502088,
0.5806483285648956,
0.6562418208675107,
0.7543675324261974,
-0.03625229813212085,
0.44867521434950836,
0.9051415988683418,
0.9758359490263386
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 18 |
1a9ed9a666e19120fea8169482f67ae7 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 7}, {"weight": 15, "source": 1, "target": 6}, {"weight": 19, "source": 1, "tar... | {"states": [246, 244], "expectation_value": -20.909077092988547, "params": [[0.0118, -0.0031000000000000003, 0.025400000000000002, 0.0038], [-0.031400000000000004, -0.014100000000000001, -0.0528, -0.0526]], "bitstrings": ["100001001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.005937413567259163,... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-88.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.0, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 173.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.033035796970138795) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.033035796970138795) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(0.033035796970138795) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.033035796970138795) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIZIIZII",
"IIZIIIZII",
"IIZZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIIZIII",
"ZIIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"IIIIIIZII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
11,
12,
16.5,
22.5,
23,
2.5,
12.5,
0.5,
5
] | 0.970316 | [
0.033035796970138795,
1.1743107495162832,
-0.1865339965274806,
1.266112264251784,
1.5779903775454862,
1.4155310904505956,
-0.6418863950380682,
2.0839555776890832,
-1.4659964772380958,
-0.6930579571127811,
-0.7424560734937793,
0.02330903431462893,
0.16407577822374453,
-0.13813935710762676,
... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -88,
"target_ratio": 0.97,
"target_value": -85.36
} | 67 |
c502b67eb6d91d909ba398fa39bec60c | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}]} | {"states": [1, 0], "expectation_value": -0.32950594317560505, "params": [[0.0747, 0.0695, 0.0683, 0.0697], [-0.0828, -0.0727, -0.0687, -0.0694]], "bitstrings": ["1110", "1111"], "total_optimization_steps": 10, "probabilities": [0.07463118813597619, 0.09041704421708903], "optimization_time": 5.1982762813568115} | 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)) + -0.625 * Z... | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.125, "smallest_bitstrings": ["1111"], "largest_eigenvalue": 3.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(-0.057394609977100594) q[0];
ry(1.5139044986832286) q[1];
ry(0.02914218421175388) q[2];
ry(-0.044368933537627414) q[3];
ry(1.4230068144719492) q[4];
ry(-0.11603950978641897) q[5];
ry(-0.5094548802261205) q[6];
ry(0.04971594069488461) q[7];
ry(0.04895829829331563) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZIZ",
"ZIIZ",
"IZZI",
"ZIZI",
"ZZII",
"IZZZ",
"ZIZZ",
"ZZIZ",
"ZZZI",
"ZZZZ",
"IIIZ",
"IIZI",
"IZII",
"ZIII"
] | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.625,
-0.625,
-0.625,
-0.625
] | 0.971723 | [
-0.057394609977100594,
1.5139044986832286,
0.02914218421175388,
-0.044368933537627414,
1.4230068144719492,
-0.11603950978641897,
-0.5094548802261205,
0.04971594069488461,
0.04895829829331563,
-0.1877934380534667,
1.2428533808206035,
0.09499352879649384,
2.05426296872183,
0.0193934036593824... | {
"n_parameters": 30,
"n_qubits": 15,
"optimal_eigenvalue": -7.999999999999979,
"target_ratio": 0.97,
"target_value": -7.759999999999979
} | 54 |
2133bfe2f16c389d56b638843cb4baa9 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [2804, 2805], "expectation_value": -1.4549733315973117, "params": [[[0.6839000000000001, 0.16640000000000002], [0.2907, 0.19490000000000002], [0.6972, -0.0926], [0.1295, -0.097], [0.6959000000000001, 0.4737], [0.6932, 0.35550000000000004], [0.6944, 0.279], [0.6994, 0.3603], [0.4621, 0.6854], [0.3769, 0.6972]... | 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(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(6) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + -0.125 * (Z(6) @ Z(3) @ Z(4)) + -0.125 * (Z(... | 15 | 12 | 3 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875], "number_of_smallest_eigenvalues": 25, "first_excited_energy": -2.687... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.6938330333533728) q[0];
rz(0.04340559251346532) q[0];
rx(1.6190866722227788) q[1];
rz(0.21822482084000655) q[1];
rx(0.07953552909807407) q[2];
rz(0.21033886300905133) q[2];
rx(0.12141305027050656) q[3];
rz(-0.14075848719450382) q[3];
rx(1.8353493747793987) 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": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZZZ",
"IIIIIIIZZIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIIIZZZIII",
"IIIIIZIZZIII",
"IIIIIZZIZIII",
"IIIIIZZZIIII",
"IIIIIZZZZIII",
"IIIZZIIIIIII",
"IIZIIIIIZIII",
"IIIIIIIZI... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
... | 0.977452 | [
0.6938330333533727,
0.10444868899735549,
1.6190866722227788,
0.21822482084000655,
0.07953552909807407,
0.21033886300905133,
0.12141305027050656,
-0.14075848719450382,
1.8353493747793987,
-0.03682289945513749,
1.0826367777520747,
-0.06294569381583645,
1.851622855274523,
0.24598983421835321,... | {
"n_parameters": 67,
"n_qubits": 12,
"optimal_eigenvalue": -3.6875,
"target_ratio": 0.97,
"target_value": -3.576875
} | 61 |
3739356624238755155 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 5], [2, 4], [0, 3], [3, 4, 7], [5, 7], [1, 4], [0, 6]]} | {"states": [30, 137], "expectation_value": -0.08120281444664058, "params": [[-0.0829], [0.07690000000000001]], "bitstrings": ["11100001", "01110110"], "total_optimization_steps": 10, "probabilities": [0.004574250149922582, 0.004574253476732327], "optimization_time": 0.5695431232452393} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.0 * Z(5) + 0.0 * Z(0) + 0.16666666666666674 * Z(4) + 0.0 * Z(2) + 0.1666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.333333333333333, "smallest_bitstrings": ["01110110"], "largest_eigenvalue": 3.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(-0.9026372883456224) q[2];
cx q[4], q[2];
rz(0.08222144591352887) q[2];
rx(0.7915954493951995) q[2];
h q[5];
cx q[5], q[0];
rz(-0.9026372883456224) q[0];
cx q[5], q[0];
cx q[0], q[3];
rz(-0.9026372883456224) q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[0], q[3];
rz(x0) q[3];
cx... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIZ",
"IIIZIZII",
"IIIIZIIZ",
"IIIZZIII",
"ZIZIIIII",
"ZIIZIIII",
"ZIIIZIII",
"IIIZIIZI",
"IZIIIIIZ",
"IIZIIIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIZII",
"IIIIZIII",
"ZIIIIIII",
"IIIIIIZI",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0,
0,
0.16666666666666674,
0,
0.16666666666666663,
0.16666666666666663,
0,
0
] | 0.522997 | [
-0.9026372883456224,
-0.20966564741098664,
0.08222144591352838,
0.7915954493951995
] | {
"n_parameters": 4,
"n_qubits": 8,
"optimal_eigenvalue": -3.333333333333334,
"target_ratio": 0.97,
"target_value": -3.233333333333334
} | 126 |
70b6be38b1b67e5f49037d70330e01f2 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [391, 2023], "expectation_value": -16.672919999318452, "params": null, "bitstrings": ["11001111000", "00000011000"], "total_optimization_steps": 100, "probabilities": [0.05805398459292, 0.5127057463946811], "optimization_time": 191.13586449623108} | -2.0 * (Z(0) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(0)) + -2.0 * (Z(1) @ Z(4)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + -2.0 * (Z(3) @ Z(9)) + -2.0 * (Z(3) @ Z(8)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + -2.5 * (Z(10) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + ... | 5 | 11 | 1 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["00000011000"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(0.29077422915650647) q[0];
h q[1];
ry(0.29077422915650647) q[1];
h q[2];
ry(0.29077422915650647) q[2];
h q[3];
ry(0.29077422915650647) q[3];
h q[4];
h q[5];
ry(0.08246923798066687) q[5];
cx q[4], q[5];
ry(-0.08246923798066687) q[5];
cx q[4], q[5];
cx q[5], q... | null | {"node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[10], 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... | [
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIIIZIIIIZ",
"IIIIIIZIIZI",
"IIIIIIIIIZZ",
"IIIIIZIIIZI",
"IIIZZIIIIII",
"IZZIIIIIIII",
"IZIIIIIZIII",
"IIZIIIIZIII",
"ZZIIIIIIIII",
"ZIZIIIIIIII",
"ZIIIIIIZIII",
"IIIIIIIZZII",
"ZIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIIIIIIZ",
"IIIIIZIIIII",
"IIIIIIIII... | [
-2,
-2,
-2,
-2,
1,
-2,
0.5,
-1.5,
-2,
-2,
0.5,
0.5,
-2.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970221 | [
0.5815484583130129,
1.4145592750955194,
-0.46336594336997494,
1.41009336568426,
0.14258149217789381,
0.08531847433328964,
0.3481380186113869,
0.16493847596133374,
2.7494624287191063,
0.03180849311208858,
-0.5006615633647054,
1.4390873794969652,
-0.4474030413446085,
0.04514121645347266,
0... | {
"n_parameters": 67,
"n_qubits": 11,
"optimal_eigenvalue": -23,
"target_ratio": 0.97,
"target_value": -22.31
} | 227 |
-7371196275713635875 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 4, 5, 8, 9], [0, 1, 3, 6], [1, 2, 4, 6, 8, 9], [0, 2, 4, 6, 9], [0, 4, 6, 7, 8, 9], [9, 3, 4, 6], [2, 3, 5, 7, 8, 9], [1, 2, 7], [9, 2, 4, 7], [0, 4, 5, 6, 7]]} | {"states": [869, 871], "expectation_value": -2.14517066806241, "params": [3.1443000000000003, 0.0038, 3.1391, 0.0035, 0.18100000000000002, 0.0031000000000000003, 3.0157000000000003, 0.009600000000000001, 3.1395, 0.0079, 0.1953, 0.0089, 0.14650000000000002, 0.0067, 3.1436, 0.0097, 1.6397000000000002, 0.00840000000000000... | 0.11666666666666667 * (Z(0) @ Z(1)) + 0.06666666666666667 * (Z(4) @ Z(1)) + 0.16666666666666669 * (Z(4) @ Z(0)) + 0.03333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333334 * (Z(5) @ Z(0)) + 0.08333333333333334 * (Z(5) @ Z(4)) + 0.06666666666666667 * (Z(8) @ Z(1)) + 0.06666666666666667 * (Z(8) @ Z(0)) + 0.1 * (Z(8) @ Z(... | 3 | 10 | 1 | {"smallest_eigenvalues": [-2.216666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.150000000000001, "smallest_bitstrings": ["0010011000"], "largest_eigenvalue": 9.999999999999995} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-3.0054106282922506) q[0];
rz(0.04215424845570759) q[0];
rx(-2.9836573288902457) q[1];
rz(-0.060763305109697185) q[1];
rx(0.04454547685587416) q[2];
rz(-0.1398104118145369) q[2];
rx(2.9947797958158526) q[3];
rz(-0.176594507668987) q[3];
rx(3.0942976406448883) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IZIIIIIIZI",
"IZIIIIIIIZ",
"IZIIIZIIII",
"IZIIZIIIII",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"ZIIIZIIIII",
"ZZIIIIIIII",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IZIIIIZIII"... | [
0.11666666666666667,
0.06666666666666667,
0.16666666666666669,
0.03333333333333333,
0.08333333333333334,
0.08333333333333334,
0.06666666666666667,
0.06666666666666667,
0.1,
0.06666666666666667,
0.06666666666666667,
0.11666666666666667,
0.31666666666666665,
0.06666666666666667,
0.13333333... | 0.971594 | [
3.277774678887336,
0.0021443902834799005,
3.2995279782893405,
-0.057281973335917426,
0.04454547685587415,
-0.032810673550680784,
2.9947797958158526,
-0.16967889628710278,
3.0942976406448883,
-0.011826476343042309,
0.2814488077557612,
0.12469607944819347,
0.15721068844729338,
-0.05587613291... | {
"n_parameters": 29,
"n_qubits": 10,
"optimal_eigenvalue": -2.216666666666667,
"target_ratio": 0.97,
"target_value": -2.150166666666667
} | 1 |
cb02c01f35b3eb9d4161bd850dfaa72c | community_detection | 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": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 6}, {"weight": 1, "source": 1, "target... | {"states": [42325, 43349], "expectation_value": -2.0146591618109126, "params": [0.8857, 0.8258000000000001, 0.3514, 0.3421, 0.3798, 0.3895, -0.0035, 0.007500000000000001, 0.6121, 0.6092000000000001, 0.34890000000000004, 0.3509, -0.0171, 0.0041, 0.3854, 0.3876, -0.012400000000000001, -0.007200000000000001, 0.389, 0.3919... | 0.25 * (Z(0) @ Z(1)) + -0.0008749999999999999 * (Z(2) @ Z(0)) + -0.0008749999999999999 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0008749999999999999 * (Z(4) @ Z(0)) + -0.0010000000000000002 * (Z(4) @ Z(2)) + -0.0008749999999999999 * (Z(5) @ Z(1)) + -0.0010000000000000002 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 13 | 16 | 4 | {"smallest_eigenvalues": [-2.0212499999999305], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0212499999998705, "smallest_bitstrings": ["0101011010101010"], "largest_eigenvalue": 2.01349999999993} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(0.7667126344586774) q[0];
rz(0.17282485373528772) q[0];
ry(0.31680410096930056) q[1];
ry(0.2551596013674417) q[2];
ry(-0.014659159376781954) q[3];
ry(0.7629214538836765) q[4];
ry(0.6645854478406821) q[5];
ry(-0.13916019141086652) q[6];
ry(0.5384647908744213) q[7];
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... | {"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,
-0.0008749999999999999,
-0.0008749999999999999,
0.25,
-0.0008749999999999999,
-0.0010000000000000002,
-0.0008749999999999999,
-0.0010000000000000002,
0.25,
0.0001875,
0.00012500000000000003,
0.00012500000000000003,
0.0001875,
0.00012500000000000003,
0.00012500000000000003,
0.25,
... | 0.976683 | [
0.7667126344586774,
0.31680410096930056,
0.2551596013674417,
-0.014659159376781954,
0.7629214538836765,
0.6645854478406821,
-0.13916019141086652,
0.5384647908744213,
0.01597727264517554,
0.48640685772701175,
-0.17182108252361358,
0.10503909069854954,
0.17599807231459802,
-0.126727055493575... | {
"n_parameters": 243,
"n_qubits": 16,
"optimal_eigenvalue": -2.0212499999999305,
"target_ratio": 0.97,
"target_value": -1.9606124999999326
} | 21 |
47007465d812e52d6cf0f90e500474b2 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 3, "source": 0, ... | {"states": [17, 1], "expectation_value": -5.044853989465366, "params": [[0.08, 0.0743], [-0.0835, -0.0718]], "bitstrings": ["11101110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.013901858848394913, 0.01696857230987285], "optimization_time": 4.0135157108306885} | -1.25 * (Z(0) @ Z(2)) + -1.25 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(0)) + -2.25 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + 3.25 * (Z(7) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -2.25 * (Z(1) @ Z(5)) + -1.0 * (Z(1) @ Z(6)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.75 * (Z(4) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-25.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 23.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.010418842956713317) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.010418842956713317) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.07852291536953825) q[5];
cx q[0], q[5];
h q[6];
cx q[2], q[6];
rz(-0.0113075483... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIZIIZII",
"IIZIIIIZ",
"IZIIIZII",
"IZIIIIIZ",
"IZZIIIII",
"ZIIIIIIZ",
"IIIIIZZI",
"IIZIIIZI",
"IZIIIIZI",
"IIZIZIII",
"IIIIZIZI",
"IIZZIIII",
"IZIZIIII",
"IIIZIIZI",
"IIIZZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIZII... | [
-1.25,
-1.25,
-0.75,
-2.25,
-1,
-0.25,
3.25,
-1,
-2.25,
-1,
-0.75,
-0.5,
-0.5,
-0.75,
-1.25,
-0.5,
-3.75,
-0.25,
0.25,
-0.75,
3.25,
3.5,
0.75,
-3
] | 0.957503 | [
0.010418842956713317,
-0.07852291536953825,
-0.01130754837804566,
-0.03448098766537879,
-0.8881560218664669,
0.5896927126042808,
-0.0009249845132533887,
-0.4907420804812563,
-1.3642238354960774,
-0.5076491354743884,
-0.48993940491905774,
-0.4934794165189021,
-1.6765669492456872,
0.02830463... | {
"n_parameters": 26,
"n_qubits": 8,
"optimal_eigenvalue": -25,
"target_ratio": 0.97,
"target_value": -24.25
} | 500 |
14573335ed5b867ba544598418a40acb | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 1, "source": 1, "target": 4}, {"capac... | {"states": [5, 1], "expectation_value": -0.4730284039114035, "params": [[-0.0849], [0.0771]], "bitstrings": ["1111111010", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.00154243134468951, 0.0015864452784621137], "optimization_time": 2.849721908569336} | -0.5 * (Z(0) @ Z(6)) + -0.25 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(0)) + -1.0 * (Z(1) @ Z(6)) + -0.5 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(8)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-11.25, -11.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.25, "smallest_bitstrings": ["1111111110", "1111111010"], "largest_eigenvalue": 7.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.05614901501533189) q[0];
rz(0.22781802132055562) q[0];
rx(-0.15246647843271652) q[1];
rz(0.24473132502081693) q[1];
cx q[1], q[0];
rz(0.06574215365500218) q[0];
cx q[1], q[0];
rz(-1.3545578151838265) q[0];
ry(0.2284619840361315) q[0];
rz(1.664635289165025) q[0];
r... | 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[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[6], q[0];
rz(... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIZIIIIIZ",
"IZIZIIIIII",
"IZIIIIIIIZ",
"IIIZIIIIZI",
"IIIZIZIIII",
"IIIIIZIIZI",
"IIIZZIIIII",
"IIIIZIIIZI",
"IIIIZZIIII",
"IIIZIIIZII",
"IIIIZIIZII",
"IZIIIIZIII",
"IIIIIZZIII",
"IIIIZIZIII",
"IIZIZIIIII",
"IIZIIIZIII",
"ZIIZIIIIII",
"ZIIIIIIIIZ",
"ZIZIIIIIII",
"IIIZIIIIII"... | [
-0.5,
-0.25,
-0.5,
-1,
-0.5,
-0.25,
-0.75,
-0.25,
-1,
-0.75,
-0.5,
-0.5,
-0.5,
-0.75,
-0.5,
-0.5,
-0.25,
1.25,
-0.25,
-0.5,
-0.25,
-0.75,
-0.5,
0.25,
0.75,
0.25,
-0.75,
0.75,
0.75
] | 0.973743 | [
0.05614901501533188,
0.29356017497555803,
-0.15246647843271652,
0.24473132502081693,
-0.12032653324830447,
0.14517093278414492,
0.10441185868136973,
0.02732130998088253,
-0.08271859328034062,
-0.08662759724633251,
-0.0017071817382347532,
0.049658732265759314,
0.004303725884878873,
0.018566... | {
"n_parameters": 157,
"n_qubits": 10,
"optimal_eigenvalue": -11.25,
"target_ratio": 0.97,
"target_value": -10.9125
} | 10 |
b85bee69825363dbbbe7929bab4cfbbc | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 5, "source": 1, "target": 5}, {"capacity": 2, "source": 1, "target": 8}, {"capac... | {"states": [0, 1], "expectation_value": -17.59216400233839, "params": [-0.0018000000000000002, -0.2421, -0.0063, -0.2758, -0.0012000000000000001, -0.2707, 0.007500000000000001, -0.2856, 0.0008, -0.2897, 0.0043, -0.2686, 0.0034000000000000002, -0.281, 0.0005, -0.21910000000000002, 0.0016, -0.30660000000000004, 0.0046, -... | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(5) @ Z(1)) + -0.75 * (Z(8) @ Z(1)) + -0.25 * (Z(8) @ Z(5)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(2) @ Z(8)) + -0.75 * (Z(3) @ Z(1)) + -1.25 * (Z(7) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(7)) + -1.0 * (Z(6) @ Z(5)) + -1.25 * (Z(6) @ Z(2)) + -1.25 * (... | 5 | 10 | 2 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.007297035954461393) q[0];
rz(-0.06870505992469411) q[0];
rx(-0.060112563523224624) q[1];
rz(-0.47330169858466675) q[1];
rx(0.003479176820274065) q[2];
rz(-0.24157627972142226) q[2];
rx(-0.07590694318418945) q[3];
rz(-0.21675593872997112) q[3];
rx(0.00212537478628... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIZIIIZI",
"IZIIIIIIZI",
"IZIIZIIIII",
"IIIIZIIZII",
"IZIIIIIZII",
"IIIIIIZIZI",
"IIZIIIZIII",
"IIIIIZIIZI",
"IIIIIZIZII",
"IIZIIZIIII",
"IIIZZIIIII",
"IIIZIIIZII",
"IIIZIIZIII",
"IIZZIIIIII",
"IIIZIZIIII",
"ZIIIIIIIIZ",
"ZIZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ"... | [
-1.25,
-1.25,
-0.75,
-0.25,
-0.75,
-1.25,
-0.75,
-1.25,
-0.75,
-0.25,
-1.25,
-1,
-1.25,
-1.25,
-1.25,
-1.75,
1.5,
-0.25,
-1.25,
-0.25,
0.75,
-1.75,
-1,
0.25,
1.5,
0.5,
0,
1.25
] | 0.980814 | [
-0.007297035954461392,
-0.21075504008301932,
-0.06011256352322462,
-0.3792182136237163,
0.0034791768202740644,
-0.14749279476047153,
-0.07590694318418945,
-0.22381509447334258,
0.0021253747862893177,
-0.4699612607842971,
-0.00011541312371307622,
-0.2622025467787985,
0.12066712387019116,
-0... | {
"n_parameters": 87,
"n_qubits": 10,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 8 |
6446c2e39f9d792cb9f32c544e2de260 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 6}, {"weight": 9, "source": 2, "target": 3}, {"weight": 15, "source": 2, "targ... | {"states": [252, 188], "expectation_value": -27.172518981027707, "params": [[-0.0392, -0.00030000000000000003, 0.0088], [0.0716, 0.0679, 0.06470000000000001]], "bitstrings": ["100000011", "101000011"], "total_optimization_steps": 10, "probabilities": [0.008887533233146623, 0.012060896510599725], "optimization_time": 6.... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 13.0 * Z(1) + -2.5 * Z(0) + 12.0 *... | 1 | 9 | 3 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["101000011"], "largest_eigenvalue": 145.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.015041700456482638) q[0];
cx q[1], q[0];
rz(1.4443264567556788) q[0];
rx(1.619282026596157) q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.015041700456482638) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(-0.015041700456482638) q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IIZIIIZII",
"IIIZIIIZI",
"IIIZIIZII",
"IIZZIIIII",
"IZIIIZIII",
"IZIIZIIII",
"ZIIIIIIZI",
"ZIZIIIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
13,
-2.5,
12,
13.5,
12,
12,
17.5,
2.5,
7
] | 0.975026 | [
-0.015041700456482638,
-1.5570698361898603,
1.4443264567556788,
-1.5438767477979454,
0.832318823873067,
-1.7666330798977976,
1.725742337624804,
1.903105399228118,
1.619282026596157,
0.06117202732973989,
1.5038150213013086,
-0.7673798844218126,
2.540222997992164,
0.46278776046781567,
1.63... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -77.5,
"target_ratio": 0.97,
"target_value": -75.175
} | 63 |
68c7da6fdb681219b05150137870d7db | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}]} | {"states": [5, 1], "expectation_value": -0.0020529333371594183, "params": [[-0.0122], [0.0064]], "bitstrings": ["1010", "1110"], "total_optimization_steps": 10, "probabilities": [0.06260653499264536, 0.06263562064846044], "optimization_time": 0.6773791313171387} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + 1.25 * (Z(3) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + 1.25 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["1110"], "largest_eigenvalue": 4.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.4747694771302854) q[0];
cx q[1], q[0];
rz(0.4747694771302853) q[1];
rx(1.6040217911993713) q[1];
h q[2];
cx q[0], q[2];
rz(0.2577776396192456) q[2];
cx q[0], q[2];
rz(0.2577776396192455) q[2];
rx(1.6040217911993713) q[2];
h q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x1) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(x2) q[3];
cx q[0], q[3];
rz(x0) q[1];
rz(x0)... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZIZ",
"ZIIZ",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
-0.25,
-0.75,
1.25,
-0.25,
-0.25,
-0.75,
1.25
] | 0.97003 | [
0.4747694771302854,
0.2577776396192456,
-0.24792115441309612,
1.6040217911993713,
0.6580701942906415,
0.4924019843505966,
-0.4259244675879271,
0.9035120634644073,
0.1777470916142513,
0.29049043206086195,
-0.40365758275486097,
0.5898445102530697,
0.6900131868427873,
0.7498956364737696,
-0... | {
"n_parameters": 16,
"n_qubits": 4,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 121 |
-753582520431897867 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4], [0, 1, 3], [3, 5], [1, 2, 3, 6], [4, 5, 6], [0, 6], [2, 5]]} | {"states": [25, 102], "expectation_value": -0.03687979564362322, "params": [[-0.0568], [0.0582]], "bitstrings": ["1100110", "0011001"], "total_optimization_steps": 10, "probabilities": [0.008287268390334994, 0.008307289405892622], "optimization_time": 2.1370275020599365} | 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.25 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(2) @ Z(3)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.0... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.4166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3333333333333335, "smallest_bitstrings": ["0011001"], "largest_eigenvalue": 5.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(-1.0031696384381728) q[3];
cx q[4], q[3];
cx q[3], q[0];
rz(0.005285646077233666) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.41684429347502816) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(0.005285646077233666) q[1];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[3], q[0];
rz(x1)... | null | {"circuits": [], "gradients": []} | [
"IIZZIII",
"IIIZIIZ",
"IIIZIZI",
"IIIIIZZ",
"IZZIIII",
"IZIZIII",
"IIIZZII",
"IIIIZZI",
"IZIIZII",
"ZIZIIII",
"ZIIZIII",
"ZIIIIIZ",
"ZIIIIZI",
"ZZIIIII",
"ZIIIZII",
"IIZIIII",
"IIIZIII",
"IIIIIIZ",
"IIIIIZI",
"IZIIIII",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.16666666666666666,
0.25,
0.16666666666666666,
0.16666666666666666,
0.5,
0.08333333333333333,
0.08333333333333333,
0.5,
0.16666666666666666,
0.08333333333333333,
0.5,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666663,
0.2916666666666665,
0.166... | 0.584568 | [
-1.0031696384381728,
0.005285646077233666,
-0.41684429347502816,
0.11916610801287421,
-0.5479751964704753,
-0.13238989505551232,
0.8185861081948824
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -2.4166666666666665,
"target_ratio": 0.97,
"target_value": -2.3441666666666663
} | 177 |
2102677892830655979 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 4, 5], [8, 4], [8, 1], [0, 4, 5], [2, 3, 4], [0, 3], [5, 6, 7], [2, 4, 7], [2, 5, 6], [8, 5, 7], [1, 4, 6], [1, 3, 4]]} | {"states": [472, 474], "expectation_value": -1.281628907920827, "params": [[0.268], [-0.25420000000000004]], "bitstrings": ["000100111", "000100101"], "total_optimization_steps": 30, "probabilities": [0.00586122960513425, 0.006126711219258908], "optimization_time": 3.8537228107452393} | 0.5 * (Z(3) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(8) @ Z(4)) + 0.16666666666666666 * (Z(8) @ Z(5)) + 0.3333333333333333 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(8)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.1666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.8333333333333326], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["000100101"], "largest_eigenvalue": 10.499999999999995} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.7388800621493045) q[3];
cx q[4], q[3];
h q[5];
cx q[4], q[5];
rz(0.2015523910761664) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(0.07371012057601573) q[5];
cx q[3], q[5];
h q[6];
h q[7];
h q[8];
cx q[4], q[8];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(x1) q[5... | null | {"circuits": [], "gradients": []} | [
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"ZIIIZIIII",
"ZIIZIIIII",
"IIIIZIIZI",
"IIIIIZIZI",
"ZIIIIIIZI",
"IIIIZIIIZ",
"IIIIIZIIZ",
"IIIZIIIIZ",
"IIIIZIZII",
"IIIIIZZII",
"IIIZIIZII",
"IIZIZIIII",
"IIZZIIIII",
"IIZIIIIZI",
"IIZIIIZII",
"IZIIZIIII",
"IZIZIIIII",
"ZZIIIIIII",
"... | [
0.5,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666... | 0.527737 | [
0.7388800621493045,
0.2015523910761664,
0.07371012057601573,
0.33894052788473467,
1.271199572716222,
-0.790637256361081
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -3.8333333333333326,
"target_ratio": 0.97,
"target_value": -3.7183333333333324
} | 158 |
8c44c442a25e00dfae4e1647b2faf79f | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 1}, {"source": 3, "target": 4}, {"source": 1, "target": 4}]} | {"states": [31467, 27371], "expectation_value": -9.023439204902772, "params": [1.56, 0.0016, 1.5648, 0.001, 1.6740000000000002, -0.0012000000000000001, 1.4641000000000002, -0.0036000000000000003, 0.8207, 0.5799000000000001, 0.8133, 0.0014, 1.7399, -0.0627, 1.4077000000000002, -0.040400000000000005, 0.3925, 0.0029000000... | 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(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 8 | 15 | 1 | {"smallest_eigenvalues": [-9.499999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.499999999999968, "smallest_bitstrings": ["001010100010100"], "largest_eigenvalue": 28.500000000000114} | 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] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIZIIIIIZ",
"IIIIIIIZIIIIIZI",
"IIIIIIIZZIIIIII",
"IIIIIIZIIIIIZII",
"IIIIIIZIZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
1.25,
1.25,
1.25,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... | 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 |
e95c8bc22a5c03425fc32d877756198b | 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": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, ... | {"states": [490, 426], "expectation_value": -2.7965763236531296, "params": [0.39180000000000004, 0.39080000000000004, 0.39490000000000003, 0.393, 0.0994, 0.10490000000000001, 0.2977, 0.2997, 0.0012000000000000001, 0.009600000000000001, 0.34090000000000004, 0.33690000000000003, 0.0164, 0.0187, 0.3768, 0.3766, 0.0135, 0.... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(5... | 14 | 9 | 4 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -2.125, "smallest_bitstrings": ["000110101", "001110100", "110001010", "010010011", "000110110", "001011100", "00101010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.579450656118302) q[0];
h q[1];
ry(-0.44857055279780694) q[1];
h q[2];
cx q[2], q[1];
ry(0.44857055279780694) q[1];
cx q[2], q[1];
ry(-0.6176282854684922) q[1];
ry(0.9354167381087468) q[2];
h q[3];
ry(1.354925211870143) q[3];
cx q[3], q[2];
ry(-0.2031831782... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIZZIIII",
"IIIIZIIIZ",
"IIZIIIIZI",
"IZIIIIZII",
"ZIIIIIZII",
"ZZIIIIIII",
"ZZIIIIZII",
"IZZIIIIII",
"IIIZIZIII",
"ZIIIIZIII",
"... | [
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,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.125,
-0.125,
0.125,
0.125,
-0.5,
-0.25,
-0.5,
-0.25,
0
] | 0.995957 | [
-1.579450656118302,
-1.4796410360738341,
1.354925211870143,
1.5350111707384577,
-0.8971411055956139,
0.7322335598561136,
-0.11609142966867134,
-0.49347830243712204,
0.40636635650526653,
-0.24829996606274043,
0.2523136444711719,
-0.1666060973439571,
-0.08691841742404358,
0.04526886395189124... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
5bfd79024282ae69c62758a244a2de56 | 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": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [41, 42], "expectation_value": -0.7661238985358906, "params": [[0.0694, 0.0758, 0.0604, 0.067], [-0.0682, -0.0813, -0.059000000000000004, -0.054200000000000005]], "bitstrings": ["010110", "010101"], "total_optimization_steps": 10, "probabilities": [0.027848412338984496, 0.02904049505053637], "optimization_ti... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["010011", "010101", "010110"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(3.040705587759774) q[0];
ry(3.0322761206209288) q[0];
rz(0.23746657912877067) q[0];
rz(-0.5485384081350269) q[1];
ry(0.03463465039766057) q[1];
rz(1.8086014627808424) q[1];
rz(2.1740019225107847) q[2];
ry(2.742027400286282) q[2];
rz(-0.45482682963069987) q[2];
rz(0.8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IZIIZI",
"IZZIII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
0,
-1,
-0.5,
-0.5
] | 0.974004 | [
1.0529037450256176,
0.06477150500217821,
0.0632023087334098,
0.46017332254292537,
1.2192432119969236,
0.14088225722938502,
1.1314918741657554,
-0.05745195682464036,
-0.04240668812804869,
-0.5477397576739919,
-0.046155027306700576,
-0.6332603826055265,
1.1415462481792484,
-0.100403553526293... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 15 |
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": -7.818580240058754, "params": [0.0027, 0.2697, 0.0001, -0.25120000000000003, 0.0024000000000000002, -0.3055, 0.004, 0.2936, 0.3235, -0.0712, -0.001, -0.2232, 0.4033, 0.0073, 0.0025, 0.27190000000000003, 0.0054, -0.3, 0.0046, -0.2995, 0.0023, 0.3059, 0.3255, -0.054200000000000005,... | -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) + ... | 3 | 7 | 4 | {"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 |
a4aacd73b9b0c82c39930910b1e5d129 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "... | {"states": [504, 4088], "expectation_value": -17.13143801469669, "params": [[[-0.0026000000000000003, 0.009000000000000001], [-0.0027, 0.0053], [1.5007000000000001, 0.0032], [0.002, 0.0043], [1.4739, 0.0091], [-0.002, 0.0073], [-0.0022, 0.0058000000000000005], [0.0019, 0.008], [1.7028, 0.0077], [-0.0029000000000000002,... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + 1.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(8)) + -2.0 * (Z(9) @ Z(10)) + -2.0 * (Z(11) @ Z(10)) + -2.0 * (Z(11) @ Z(9)) + 0.5 * Z(2) + 0.5 * Z... | 2 | 12 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "smallest_bitstrings": ["000000000111"], "largest_eigenvalue": 21.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.2637140927677754) q[0];
rz(0.4838703167793198) q[0];
rx(0.14417108333176396) q[1];
rz(-0.6350146935505521) q[1];
rx(0.11635091688097371) q[2];
rz(-0.5835182576152191) q[2];
rx(0.03854671038520914) q[3];
rz(-0.12270210277584818) q[3];
rx(0.28359728691212593) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIIZZ",
"IIIIIIIZZIII",
"IIIIZIZIIIII",
"IIIZZIIIIIII",
"IIIZIIZIIIII",
"IIIIZZIIIIII",
"IIIIIZZIIIII",
"IIIZIZIIIIII",
"IZZIIIIIIIII",
"ZZIIIIIIIIII",
"ZIZIIIIIIIII",
"IIIIIIIIIZII",
"IIIIIIIIIIIZ",
"IIIIIIIIIIZI",
"IIIIIIIZIIII",
"IIIIIIIIZ... | [
-1.5,
-1.5,
0.5,
-1,
-2,
1,
-2,
-2,
1,
-2,
-2,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
1.5
] | 0.980366 | [
-0.2637140927677754,
0.4838703167793198,
0.14417108333176396,
-0.6350146935505521,
0.11635091688097371,
-0.5835182576152191,
0.03854671038520914,
-0.12270210277584818,
0.28359728691212593,
0.2497327558119293,
0.07461675715541081,
0.0017057154061174413,
-0.10251963336375061,
0.2707352244092... | {
"n_parameters": 23,
"n_qubits": 12,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 16 |
f490a28ecdd83f85cb7689547a0eb0f1 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [21, 52], "expectation_value": -2.9965155422382117, "params": null, "bitstrings": ["101010", "001011"], "total_optimization_steps": 20, "probabilities": [0.06700896507806574, 0.929746058313105], "optimization_time": 10.155762672424316} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(4) + -0.5 * Z(0) + -0.5 * Z(5) + -1.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["101100", "101010", "001011", "010011"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(1.4559220094194139) q[1];
ry(-0.12411763596727048) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4736134322386227) q[3];
ry(-0.031683301563526195) q[4];
rz(-pi) q[4];
h q[5];
ry(-0.5472362963496462) q[5];
cx q[0], q[5];
ry(0.5472362963496462) q[5];
cx q[0], q[5];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IZIIIZ",
"ZIIIIZ",
"IZIZII",
"ZIIZII",
"IIIZZI",
"IZZIII",
"IZIIII",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IIIIZI",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-1,
0,
0
] | 0.991196 | [
-1.582323973277357,
-1.3643355409729596,
1.4736134322386227,
1.4559220094194139,
-1.0944725926992924,
0.7522403135211317,
-0.3532284044695118,
0.4812526455354951,
-0.22809332507390656,
0.3572804273733394,
-0.1631535345356533,
-0.16468629970933335,
0.1857552217475515,
0.08779101460740774,
... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
17debd478fb0eb69318abace866be76c | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 2, "target": 1}, {"capacity": 4, "source": 2, "target": 3}, {"capacity": 3, "s... | {"states": [0, 1], "expectation_value": -8.779352749753437, "params": [[[0.0031000000000000003, 0.005], [0.0023, 0.0037], [0.0022, 0.0082], [0.0023, 0.0051], [0.0024000000000000002, 0.001], [0.0026000000000000003, 0.0097], [-0.0027, 0.0091], [1.1912, 0.0033], [1.6002, 0.0041]]], "bitstrings": ["111111111", "111111110"]... | -0.5 * (Z(0) @ Z(6)) + -0.25 * (Z(2) @ Z(6)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(6)) + -1.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(3)) + -0.75 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(5)) + -2.75 * Z(6) + ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-9.75, -9.75, -9.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -8.75, "smallest_bitstrings": ["111111110", "111111100", "111110100"], "largest_eigenvalue": 15.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.06915174361495136) q[0];
rz(0.23890521070623041) q[0];
rx(-0.08634786474147427) q[1];
rz(0.07731532272459808) q[1];
rx(0.009023755687664295) q[2];
rz(0.05893806675868352) q[2];
rx(-0.08634786474147427) q[3];
rz(-0.054645169334423) q[3];
rx(0.042897660410441574) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIZIIIIIZ",
"IIZIIIZII",
"IIIIIIZZI",
"IIZIIZIII",
"IIIIIZZII",
"IIZIZIIII",
"IIIIZIZII",
"IIIIZIIZI",
"ZIIIIIIIZ",
"ZIIIIZIII",
"IIZZIIIII",
"IZZIIIIII",
"IZIZIIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"ZIIIIIIII",
"IIIZIIIII",
"... | [
-0.5,
-0.25,
-1.25,
-0.25,
-1,
-1,
-1.5,
-0.25,
0.75,
-0.25,
-0.75,
-1,
-0.5,
-2.75,
-0.25,
2,
-1.5,
-1,
1.25,
0.5,
0.25,
1.5
] | 0.973604 | [
0.06915174361495136,
0.23890521070623041,
-0.08634786474147427,
0.07731532272459808,
0.009023755687664295,
0.05893806675868352,
-0.054645169334423,
0.042897660410441574,
-0.222373591901531,
-0.2549340189782636,
-0.02083774950216004,
-0.0763540063860347,
-0.05283682700703876,
1.086622724043... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -9.75,
"target_ratio": 0.97,
"target_value": -9.4575
} | 6 |
-6760990501438194696 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 2, 3, 5, 7, 8, 9, 10, 11], [0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11], [0, 2, 3, 4, 5, 6, 7], [1, 2, 5, 6, 8, 9, 10], [2, 3, 5, 6, 7, 8, 9, 10, 11], [1, 2, 3, 4, 5, 6, 7, 11]]} | {"states": [3991, 4007], "expectation_value": -1.0213263626269125, "params": [1.5756000000000001, 1.6023, 1.5821, 1.5647, 1.5713000000000001, 1.5653000000000001, 1.5781, 1.568, 1.5897000000000001, 1.5470000000000002, -0.0025, -0.0025, 1.6427, 0.26080000000000003, 1.568, 1.568, 0.0018000000000000002, 0.00180000000000000... | 0.0202020202020202 * (Z(0) @ Z(1)) + 0.05277777777777778 * (Z(2) @ Z(1)) + 0.03492063492063492 * (Z(2) @ Z(0)) + 0.038059163059163056 * (Z(3) @ Z(1)) + 0.04401154401154401 * (Z(3) @ Z(0)) + 0.06666666666666667 * (Z(3) @ Z(2)) + 0.061868686868686865 * (Z(5) @ Z(1)) + 0.04401154401154401 * (Z(5) @ Z(0)) + 0.0904761904761... | 13 | 12 | 1 | {"smallest_eigenvalues": [-1.0564935064935064, -1.0564935064935064, -1.0564935064935064, -1.0564935064935064, -1.0564935064935064, -1.0564935064935064], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0453823953823953, "smallest_bitstrings": ["000001011000", "000101001000", "000101000100", "000101000010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.5090547156921752) q[0];
rz(0.019721567345922696) q[0];
ry(1.5524147564836577) q[1];
ry(1.5435418798072194) q[2];
ry(1.4259594569586571) q[3];
ry(1.716282311575186) q[4];
ry(-0.024502700289839176) q[5];
ry(1.8915149393269233) q[6];
ry(1.6150884133463046) q[7];
ry(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIIIIIZIIZII",
"IIIIIIZIZIII",
"IIIIZIIIIIZI",
"IIIIZIIIIIIZ",
"IIIIZIIIIZII",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIZIIIIIIZI",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.0202020202020202,
0.05277777777777778,
0.03492063492063492,
0.038059163059163056,
0.04401154401154401,
0.06666666666666667,
0.061868686868686865,
0.04401154401154401,
0.09047619047619046,
0.07575757575757575,
0.038059163059163056,
0.04401154401154401,
0.06666666666666667,
0.0757575757575... | 0.970796 | [
1.5090547156921752,
1.5524147564836577,
1.5435418798072194,
1.4259594569586571,
1.716282311575186,
-0.024502700289839176,
1.8915149393269233,
1.6150884133463046,
0.005364588416177277,
1.5464967975069428,
1.6434566191212072,
1.6214648353167005,
0.03944313469184539,
0.06447180331526559,
0.... | {
"n_parameters": 42,
"n_qubits": 12,
"optimal_eigenvalue": -1.0564935064935064,
"target_ratio": 0.97,
"target_value": -1.0247987012987012
} | 3 |
92e0d9744e7b0376f2c61fec7a621b77 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [88, 105], "expectation_value": -0.3210426198852179, "params": [[-0.06620000000000001, -0.0502, -0.057800000000000004], [0.0814, 0.0714, 0.07200000000000001]], "bitstrings": ["0100111", "0010110"], "total_optimization_steps": 10, "probabilities": [0.011392899554105683, 0.013219288728608605], "optimization_ti... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0) @ Z(3)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(1) @ Z(4)) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["0010110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.5133697055041112) q[0];
h q[1];
ry(1.6084249374386541) q[1];
h q[2];
ry(1.6084249374386541) q[2];
ry(-0.053550572212937055) q[3];
rz(-pi) q[3];
ry(-0.053550572212937055) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[0];
ry(0.5133697055041112) q[0];
cx q[5], q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIZZIII",
"IIIZIIZ",
"IZIIIIZ",
"IZIZIII",
"IZIZIIZ",
"IIZIIZI",
"ZIIIIZI",
"ZIZIIII",
"ZIZIIZI",
"ZIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
0,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25
] | 0.992524 | [
-1.5021443221766975,
1.6084249374386541,
-1.0267394110082224,
0.7506936281381614,
-0.5870557688839062,
0.4771553588124247,
-0.38953925180142007,
0.19253854567295237,
0.02981104842832527,
0.18877927704919473,
0.13517748060633164,
-0.03020286481052407,
-0.11241436734008918
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
f3a1e6b2b1212adc99805f9c0a30f517 | 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": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 7}, {"source": 3, "target": 5}, {"source": 3, "ta... | {"states": [224, 240], "expectation_value": -2.8344892591746014, "params": [1.2978, -0.0016, 1.3121, 0.0039000000000000003, 1.308, -0.0006000000000000001, 1.3026, -0.3684, 1.1279000000000001, -0.0014, 1.3028, 0.003, 0.6993, -0.012100000000000001, -0.0151, 0.0089, 1.2944, 1.2955, 1.292, -0.19160000000000002, 1.2781, 1.2... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * Z(7) + 0.0 * Z(0) + -1.0 * Z(6) + 0.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) + -1.0 * Z(3) + 0.0 * Z(5) | 4 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.5, "smallest_bitstrings": ["01011001", "00001111", "01110001", "00110011", "00100111", "00011011"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(2.381606808556377) q[0];
rz(1.116079687730588) q[0];
rx(3.085150688043762) q[1];
rz(3.1065547579709314) q[1];
rx(-0.04615157167606888) q[2];
rz(1.1294975976726427) q[2];
rx(2.5049846253689885) q[3];
rz(1.377838217160134) q[3];
rx(0.7361034164232) q[4];
rz(1.333822533... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"ZZIIIIII",
"IZIIIIZI",
"ZIIIIZII",
"ZIIZIIII",
"IIIZIZII",
"ZIIIZIII",
"IZIIZIII",
"IIZIZIII",
"ZIIIIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-1,
0,
-0.5,
-0.5,
-1,
0
] | 0.970794 | [
2.381606808556377,
-0.4547166390643085,
3.085150688043762,
1.5357584311760353,
-0.04615157167606888,
-0.4412987291222552,
2.5049846253689885,
-0.19295810963476295,
0.7361034164232001,
-0.23697379372660185,
3.1498262308868092,
-1.0178499001267651,
0.07183315999231277,
-0.13111404611703892,
... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 28 |
1709095136500400550 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3, 4, 7], [0, 1, 2, 3, 7, 8], [1, 2, 4, 5, 6, 7], [2, 5, 6, 7, 8], [1, 3, 4, 5, 7, 8], [0, 1, 3, 5, 6, 8], [0, 1, 2, 4], [0, 1, 2, 6], [0, 1, 4, 6, 7, 8], [0, 2, 5], [1, 2, 3, 6, 8]]} | {"states": [317, 430], "expectation_value": -0.5552682724836941, "params": [[0.17700000000000002], [-0.1637]], "bitstrings": ["011000010", "001010001"], "total_optimization_steps": 20, "probabilities": [0.0026867942860653235, 0.0027019773586771188], "optimization_time": 7.543900489807129} | 0.15 * (Z(0) @ Z(3)) + 0.11666666666666667 * (Z(4) @ Z(3)) + 0.19999999999999998 * (Z(4) @ Z(0)) + 0.15 * (Z(7) @ Z(3)) + 0.15 * (Z(7) @ Z(0)) + 0.18333333333333332 * (Z(7) @ Z(4)) + 0.15000000000000002 * (Z(1) @ Z(3)) + 0.26666666666666666 * (Z(1) @ Z(0)) + 0.18333333333333332 * (Z(1) @ Z(4)) + 0.13333333333333333 * (... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.3666666666666663], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.283333333333333, "smallest_bitstrings": ["001010001"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-1.0236036826127845e-07) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(2.3724364850825747e-08) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-1.0916159888516549e-07) q[4];
cx q[0], q[4];
h q[5];
h q[6];
h q[7];
cx q[3], 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",
"IZIIIZIII",
"IZIIIIIIZ",
"IZIIZIIII",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIIIZIIZI",
"IZIIIIIZI",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIIZIZII",
"IZIIIIZII",
"IIIIIIZZI",
"ZIIIIZIII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"ZZIIIIIII",
"ZIIIIIIZI",
"ZIIIIIZII",
"... | [
0.15,
0.11666666666666667,
0.19999999999999998,
0.15,
0.15,
0.18333333333333332,
0.15000000000000002,
0.26666666666666666,
0.18333333333333332,
0.13333333333333333,
0.08333333333333334,
0.3666666666666667,
0.11666666666666667,
0.11666666666666667,
0.2833333333333333,
0.1500000000000000... | 0.950704 | [
-1.0236036826127845e-7,
2.3724364850825747e-8,
-1.0916159888516549e-7,
8.489561085339698e-8,
-3.414592716202747e-8,
-2.15724127197028e-8,
2.8297431278999233e-8,
-7.915394938174769e-8,
2.2740749540557026e-8,
7.76863455054809e-8,
-2.0221689992069093e-8,
5.397208685795263e-8,
6.247081631941256e... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -2.3666666666666663,
"target_ratio": 0.97,
"target_value": -2.295666666666666
} | 500 |
1193544933331346 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 3], [1, 6], [2, 4], [3, 5, 6], [0, 2, 6]]} | {"states": [81, 25], "expectation_value": -2.06842793718313, "params": null, "bitstrings": ["0101110", "1100110"], "total_optimization_steps": 37, "probabilities": [0.05866562823437644, 0.8337161946122748], "optimization_time": 41.794737339019775} | 0.5 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.16666666666666663 * Z(3)... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.166666666666666, "smallest_bitstrings": ["1100110"], "largest_eigenvalue": 3.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.5508638762506505) q[0];
h q[1];
ry(-0.7224725803899481) q[1];
h q[2];
h q[3];
cx q[3], q[0];
ry(0.5508638762506505) q[0];
cx q[3], q[0];
ry(-0.5598494149396714) q[0];
ry(1.0765764250380083) q[3];
h q[4];
ry(-0.3241159585885776) q[4];
cx q[2], q[4];
ry(0.32... | 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(1.2292) 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", "... | [
"IIIZIIZ",
"ZIIZIII",
"ZIIIIIZ",
"ZIIIIZI",
"IIIIZIZ",
"ZIIIZII",
"IIZIZII",
"IZIZIII",
"ZZIIIII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII",
"IZIIIII"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666663,
0.16666666666666663,
0.33333333333333326,
0,
0.16666666666666663,
0,
0.16666666666666666
] | 0.971448 | [
1.5453274412061937,
-1.4449451607798962,
-0.6482319171771552,
0.8380429294164269,
-1.101727752501301,
0.8678986068136734,
-0.43005760495277207,
0.4173556364486698,
-0.5351138427692836,
0.5480627993202218,
-0.6031914289284521,
-0.25958361997379886,
-0.5596918546591383,
-0.0937310933218506,
... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -2.166666666666667,
"target_ratio": 0.97,
"target_value": -2.101666666666667
} | 10 |
-2845502876359147798 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 5, 0], [1, 4], [8, 6], [0, 2, 6, 7], [2, 3], [0, 4], [3, 6], [4, 6, 7], [4, 5, 6], [8, 3, 4], [3, 5], [2, 5], [8, 0, 3, 7], [0, 1, 2], [0, 1, 7]]} | {"states": [428, 427], "expectation_value": -1.3698454450961866, "params": [[-0.2705], [0.268]], "bitstrings": ["001010011", "001010100"], "total_optimization_steps": 30, "probabilities": [0.005887608506290155, 0.0061052748755554935], "optimization_time": 5.378257513046265} | 0.08333333333333333 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.41666666666666663 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(8)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(4) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.250000000000001, "smallest_bitstrings": ["001010100"], "largest_eigenvalue": 11.500000000000002} | 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[1], q[8];
rz(0.04333716169108654) q[8];
cx q[1], q[8];
cx q[1], q[5];
rz(0.04333716169108654) q[5];
cx q[1], q[5];
cx q[1], q[0];
rz(-1.071315960122371) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIZI",
"IIIZIIIZI",
"ZIIZIIIII",
"IIIIIIIZZ",
"ZIIIIIIIZ",
"IIIZIIIIZ",
"IIIIZIIZI",
"ZIIIZIIII",
"IIIZZIIII",
"IIIIZIIIZ",
"ZIZIIIIII",
"IIZZIIIII",
"IIZIIIIIZ",
"IIZIZIIII",
"IIIIIIZZI",
"IIIZIIZII",
"IIIIIIZIZ",
"IIZIIIZII",
"IZIIIIIZI",
"ZZIIIIIII",
"IZIIIIIIZ",
"... | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.41666666666666663,
0.16666666666666666,
0.08333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.08333333333333333,
0.3333333333333333,
0.16666666666666666,
0.5,
0.25,
0.083... | 0.611808 | [
0.04333716169108654,
-1.071315960122371,
-0.050350442642613916,
-0.4613737857366131,
-0.1198033804495876,
-0.1310616185939641,
1.0693390569260006,
-0.312333417147544,
-1.2247460508928771,
-1.5195071223241658,
0.9270028911324079
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -3.333333333333334,
"target_ratio": 0.97,
"target_value": -3.233333333333334
} | 298 |
aaa0b19e64bf3c35281517d1fd2e9593 | 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": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}]} | {"states": [9, 8], "expectation_value": -0.15911364746201456, "params": [[-0.006900000000000001, -0.037200000000000004, -0.044500000000000005, -0.0651], [-0.047900000000000005, 0.0201, 0.0419, 0.0591]], "bitstrings": ["10110", "10111"], "total_optimization_steps": 10, "probabilities": [0.03547287978614408, 0.0372638656... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(1)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(3) @ Z(1... | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.125, "smallest_bitstrings": ["10111"], "largest_eigenvalue": 4.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3082490255491387) q[0];
cx q[1], q[0];
rz(-0.4813792428916286) q[0];
rx(-0.0708269652138156) q[0];
h q[2];
cx q[1], q[2];
rz(0.3082490255491387) q[2];
cx q[1], q[2];
rz(0.38370389231516544) q[1];
rx(-0.07082696521381568) q[1];
cx q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"ZIIZI",
"IZIZI",
"ZIZII",
"IZZII",
"ZZIII",
"ZIZZI",
"IZZZI",
"ZZIZI",
"ZZZII",
"ZZZZI",
"IIIIZ",
"IIIZI",
"IIZII",
"ZIIII",
"IZIII"
] | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-1,
-0.125,
-0.625,
-0.625,
-0.625
] | 0.977854 | [
0.3082490255491387,
0.3837038923151648,
-0.48137924289163025,
0.26332802912302594,
-0.07082696521381564,
-0.3050505286502088,
0.5806483285648956,
0.6562418208675107,
0.7543675324261974,
-0.03625229813212085,
0.44867521434950836,
0.9051415988683418,
0.9758359490263386
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 18 |
9c58c5b77a3170e613a26f379fffeef6 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [78, 110], "expectation_value": -1.4169048225886833, "params": [0.29650000000000004, 0.1063, 0.5051, 0.0723, 0.49450000000000005, 0.04, -0.0017000000000000001, 0.3352, 0.5073, 0.0094, 0.4983, 0.0064, 0.4998, 0.0178, 0.21180000000000002, 0.26330000000000003, 0.2947, 0.1062, 0.504, 0.0713, 0.49300000000000005,... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(0) @ Z(5)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + ... | 16 | 8 | 4 | {"smallest_eigenvalues": [-3.375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.375, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.30035957140227065) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.30035957140227065) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.30035957140227065) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.30035957140227065) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIZZIIII",
"IIZZIIIZ",
"IIIIZIZI",
"IIIZIIZI",
"IZIIIIZI",
"IIIZZIII",
"IZIIZIII",
"IZIZIIII",
"IIIZZIZI",
"IZIIZIZI",
"IZIZIIZI",
"IZIZZIII",
"IZIZZIZI",
"IIZIIZII",
"ZIIIIZII",
"ZIZIIIII",
"ZIZIIZI... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
0.125,
0,
-0.625,
0.125,
0,
-0.125,
-0.25
] | 0.970623 | [
-0.30035957140227065,
1.1368758079646883,
-1.8923990284899774,
1.0436850348571591,
1.415620980349364,
-0.5091827167950427,
1.4790986719477293,
0.8820371628830349,
0.46473221419256594,
-0.15090594742638722,
0.055618018346008394,
0.32882508347878925,
-0.3312498441524585,
-0.09748772199396417... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 54 |
7066780620356999350 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[4, 7], [1, 2, 3, 10, 12], [0, 2, 7, 9, 11], [10, 5], [5, 6], [8, 1]]} | {"states": [3755, 2731], "expectation_value": -2.3452322382063553, "params": [[[-0.0021000000000000003, 0.0097, 0.0056, 0.009000000000000001], [1.0501, -0.0027, 1.0501, 0.0068000000000000005], [1.5972000000000002, 0.008, 0.002, 0.006200000000000001], [0.4665, 0.0037, 1.4500000000000002, 0.003], [-0.0025, 0.0099, 0.006,... | 0.5 * (Z(4) @ Z(7)) + 0.05 * (Z(2) @ Z(7)) + 0.05 * (Z(1) @ Z(2)) + 0.05 * (Z(3) @ Z(2)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(10) @ Z(2)) + 0.05 * (Z(10) @ Z(1)) + 0.05 * (Z(10) @ Z(3)) + 0.05 * (Z(12) @ Z(2)) + 0.05 * (Z(12) @ Z(1)) + 0.05 * (Z(12) @ Z(3)) + 0.05 * (Z(12) @ Z(10)) + 0.05 * (Z(0) @ Z(7)) + 0.05 * (Z(0) @... | 12 | 13 | 1 | {"smallest_eigenvalues": [-2.400000000000001, -2.400000000000001, -2.400000000000001, -2.400000000000001, -2.400000000000001, -2.400000000000001, -2.400000000000001, -2.400000000000001, -2.400000000000001, -2.400000000000001, -2.400000000000001, -2.400000000000001, -2.400000000000001, -2.400000000000001, -2.40000000000... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(-0.09189232857040443) q[0];
rz(0.05753460829437123) q[0];
ry(1.0518183957555016) q[1];
rz(-0.033367168964209395) q[1];
cz q[1], q[0];
ry(2.1036367915110032) q[1];
ry(1.4453442770054108) q[2];
rz(-0.04905592182143802) q[2];
ry(0.3051433628093126) q[3];
rz(0.037262485... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIZIIZIIII",
"IIIIIZIIIIZII",
"IIIIIIIIIIZZI",
"IIIIIIIIIZZII",
"IIIIIIIIIZIZI",
"IIZIIIIIIIZII",
"IIZIIIIIIIIZI",
"IIZIIIIIIZIII",
"ZIIIIIIIIIZII",
"ZIIIIIIIIIIZI",
"ZIIIIIIIIZIII",
"ZIZIIIIIIIIII",
"IIIIIZIIIIIIZ",
"IIIIIIIIIIZIZ",
"IIIZIZIIIIIII",
"IIIZIIIIIIZII",
"IIIZIIIIIII... | [
0.5,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.5,
0.5,
0.5,
0.1000000000000002,
0,
0.19999999999999996,
0.09999999999999998,
0.1,
0.09999999999999998,
0.1,
0.1,
0.1,
0.1,... | 0.970374 | [
-0.09189232857040443,
0.05753460829437123,
1.0518183957555016,
-0.033367168964209395,
1.4453442770054108,
-0.04905592182143802,
0.3051433628093126,
0.037262485140619986,
0.042368385220385156,
-0.02258912864273392,
1.0120098539560438,
-0.0009501940666095925,
0.031222282061326833,
-0.2319079... | {
"n_parameters": 32,
"n_qubits": 13,
"optimal_eigenvalue": -2.400000000000001,
"target_ratio": 0.97,
"target_value": -2.3280000000000007
} | 8 |
7a43ef6d49c93e460e1d835c9d0a952d | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target":... | {"states": [1024, 1023], "expectation_value": -12.783611423720943, "params": [[[0.0005, -0.4169], [-0.0026000000000000003, 0.0022], [0.0001, -0.0022], [0.0009000000000000001, -0.0018000000000000002], [-0.0025, -0.0014], [-0.0024000000000000002, -0.0015], [-0.0022, 0.0028], [-0.0031000000000000003, -0.001800000000000000... | -0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(0)) + -0.75 * (Z(10) @ Z(4)) + -0.75 * (Z(10) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + 2.25 * (Z(2) @ Z(0)) + -0.75 * (Z(2) @ Z(10)) + -0.5 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(6)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(10)) + -0.75 * (Z... | 15 | 11 | 4 | {"smallest_eigenvalues": [-13.25, -13.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.25, "smallest_bitstrings": ["10000000000", "10010000000"], "largest_eigenvalue": 15.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.29546390560298513) q[0];
ry(0.0819584152198764) q[1];
ry(-0.13807382581333913) q[2];
ry(-0.06860100053383628) q[3];
ry(-0.08890346374739756) q[4];
ry(0.014684002349945002) q[5];
ry(-0.003048542188854984) q[6];
ry(0.025536647342204365) q[7];
ry(0.02577645976076051... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIZIZIIII",
"IIIIZIIIIIZ",
"ZIIIIIZIIII",
"ZIIIIIIIIIZ",
"IIIIIIZIZII",
"IIIIIIIIZIZ",
"ZIIIIIIIZII",
"IIIIIIZIIZI",
"IIIIZIIIIZI",
"IIIZIIZIIII",
"IIIZZIIIIII",
"ZIIZIIIIIII",
"IIIZIIIIZII",
"IZIIIIZIIII",
"IZIIIIIIIZI",
"IIIIIZZIIII",
"ZIIIIZIIIII",
"IZIIIZIII... | [
-0.5,
-0.25,
-0.75,
-0.75,
-0.75,
-0.5,
2.25,
-0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.75,
-0.75,
-0.75,
-0.75,
-0.5,
-0.25,
-0.75,
-0.75,
-0.75,
-0.75,
-0.75,
-0.5,
-0.25,
0.5,
-0.25,
0.75,
-0.5,
-0.5,
-1,
1.25,
1,
0.25,
-2.25,
0.75
] | 0.97198 | [
-0.29546390560298513,
0.0819584152198764,
-0.13807382581333913,
-0.06860100053383628,
-0.08890346374739756,
0.014684002349945002,
-0.003048542188854984,
0.025536647342204365,
0.02577645976076051,
-0.6072971643881065,
-0.3712600580295811,
0.024040088214779924,
0.013373300782558068,
-0.01219... | {
"n_parameters": 65,
"n_qubits": 11,
"optimal_eigenvalue": -13.25,
"target_ratio": 0.97,
"target_value": -12.8525
} | 82 |
497ee7bf44af41c8b30000bed1ee6591 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, ... | {"states": [82, 37], "expectation_value": -0.28755169339009057, "params": [[0.0679], [-0.0517]], "bitstrings": ["0101101", "1011010"], "total_optimization_steps": 10, "probabilities": [0.008641642980366246, 0.008775929063442208], "optimization_time": 1.7735774517059326} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -2.0 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["1011010"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(-0.050282712528339664) q[0];
rz(0.3819994313632922) q[0];
rx(0.7278983687254371) q[1];
rz(0.26595169645320116) q[1];
rx(1.0710332974474701) q[2];
rz(0.10802912403681283) q[2];
rx(0.7917834020909341) q[3];
rz(0.008618002309822284) q[3];
rx(0.6737907487059026) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IIIIZZI",
"IIIZZII",
"IIZIZII",
"IZIZIII",
"IZZIIII",
"IZIIZII",
"ZIIIZII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"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,
0.5,
-1,
-1,
-2,
-1.5,
-2,
-1.5,
-0.5
] | 0.972317 | [
-0.050282712528339664,
0.5010991574351781,
0.7278983687254371,
0.26595169645320116,
1.0710332974474701,
0.10802912403681283,
0.7917834020909341,
0.008618002309822284,
0.6737907487059026,
-0.018196290142947116,
0.7405529885929926,
-0.015136811624490466,
0.977292248982019,
0.1120789656178997... | {
"n_parameters": 150,
"n_qubits": 13,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 23 |
75e38f85452ebc08ee898a0ac8b18be5 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target"... | {"states": [345, 377], "expectation_value": -1.0452858889114542, "params": [0.6935, 0.1461, 0.265, 0.2667, 0.6868000000000001, -0.07300000000000001, 0.4933, -0.0349, 0.5145000000000001, 0.0296, 0.6984, 0.10360000000000001, 0.23570000000000002, 0.2523, 0.23850000000000002, 0.2738, 0.5023, 0.0911, 0.6905, 0.1673, 0.256, ... | 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)) + 0.125 * (Z... | 18 | 9 | 4 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 21, "first_excited_energy": -1.375, "smallest_bitstrings": ["000100110", "100000110", "0001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-1.5895904143898432) q[0];
ry(-0.061831462572773416) q[1];
rz(-pi) q[1];
ry(-3.1211665634162276) q[2];
rz(-pi) q[2];
ry(-0.05067198498523348) q[3];
rz(-pi) q[3];
h q[4];
ry(1.4339466124722804) q[4];
cx q[4], q[3];
ry(0.12544642904227837) q[3];
cx q[4], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input ... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIZZIIIZ",
"IIZIZIIIZ",
"IIZZIIIIZ",
"IIZZZIIII",
"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.... | 0.997795 | [
-1.5895904143898432,
-1.4880487849715875,
-1.3946779127673847,
1.4339466124722804,
-0.25089285808455675,
0.23284724829810097,
0.08137959326879629,
-0.04183215850107143
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
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": 116.64676332473755} | -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 | 4 | {"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 |
-1715687755515101490 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1, 2, 4, 6, 7, 8, 9, 10], [0, 1, 4, 5, 7, 9, 10], [0, 3, 4, 8, 9, 10], [2, 3, 5, 6, 7], [0, 1, 2, 3, 4, 5, 7, 10], [0, 1, 5, 8, 9], [0, 2, 3, 5, 7, 8, 10], [0, 3, 4, 5, 8], [1, 3, 5, 9, 10], [9, 5, 6], [2, 4, 5, 8, 10], [1, 4, 5, 7, 8], [0, 1, 2, 3, 4, 7,... | {"states": [1506, 1514], "expectation_value": -2.5245350437521044, "params": [[[2.8622, 0.0033], [1.3163, 0.0089], [2.9362, 0.0034000000000000002], [2.2657000000000003, 0.007200000000000001], [2.9288000000000003, 0.0015], [2.9288000000000003, 0.0043], [1.2528000000000001, 0.0028], [1.6188, 0.007200000000000001], [1.250... | 0.12936507936507935 * (Z(0) @ Z(1)) + 0.08888888888888888 * (Z(2) @ Z(1)) + 0.12936507936507935 * (Z(2) @ Z(0)) + 0.16269841269841268 * (Z(4) @ Z(1)) + 0.1626984126984127 * (Z(4) @ Z(0)) + 0.17222222222222222 * (Z(4) @ Z(2)) + 0.013888888888888888 * (Z(6) @ Z(1)) + 0.06388888888888888 * (Z(6) @ Z(0)) + 0.14722222222222... | 1 | 11 | 1 | {"smallest_eigenvalues": [-3.1944444444444438], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.154761904761905, "smallest_bitstrings": ["01000010101"], "largest_eigenvalue": 16.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(3.2538547804209945) q[0];
rz(-0.03653862210866721) q[0];
rx(0.7476389648019672) q[1];
rz(-0.11970400505602793) q[1];
rx(2.821750326925132) q[2];
rz(-0.6010769442553764) q[2];
rx(3.222274436003464) q[3];
rz(-0.018803423662948404) q[3];
rx(3.2031745524426443) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIIZIZII",
"IIIIZIIIIZI",
"IIIIZIIIIIZ",
"IIIIZIIIZII",
"IIIIZIZIIII",
"IIIZIIIIIZI",
"IIIZIIIIIIZ",
"IIIZIIIIZII",
"IIIZIIZIIII",
"IIIZZIIIIII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIZIIIIIZII",
"IIZIIIZII... | [
0.12936507936507935,
0.08888888888888888,
0.12936507936507935,
0.16269841269841268,
0.1626984126984127,
0.17222222222222222,
0.013888888888888888,
0.06388888888888888,
0.14722222222222223,
0.04722222222222222,
0.12936507936507935,
0.10317460317460317,
0.16269841269841268,
0.162698412698412... | 0.974599 | [
3.2538547804209945,
-0.03653862210866721,
0.7476389648019672,
-0.11970400505602793,
2.821750326925132,
-0.6010769442553764,
3.222274436003464,
-0.018803423662948404,
3.2031745524426443,
-0.5615841026730967,
-0.444781432683502,
-0.21928708931731078,
1.0095819030372355,
2.725444897129646,
... | {
"n_parameters": 20,
"n_qubits": 11,
"optimal_eigenvalue": -3.1944444444444438,
"target_ratio": 0.97,
"target_value": -3.0986111111111105
} | 17 |
9050827945308795008 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[5, 6], [10, 3], [3, 7], [9, 12], [0, 2], [1, 7], [3, 4], [8, 10], [10, 11]]} | {"states": [5174, 5173], "expectation_value": -1.7319581695821593, "params": [[[1.5678, 0.0091], [0.8246, 0.8141], [1.9499000000000002, 0.4968], [-1.4512, 1.5116], [-0.273, 1.5263], [0.8767, 0.1689], [0.3534, -0.0688], [1.5682, 1.5678], [1.568, -0.41700000000000004], [1.5678, 1.5692000000000002], [1.5677, 0.78470000000... | 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(10) @ Z(6)) + 0.5 * (Z(12) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(10)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(11) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(9) + 0.0 * Z(8) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(10) + 0.0 * Z(4) + 0.0 * Z(12) + 0.0 * Z(5) + 0.0 * Z(0) +... | 15 | 13 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -3.5, "smallest_bitstrings": ["1010000101101", "0101011001011", "0101011010011", "0101111001010", "1101101001010", "1101001001011", "01... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(1.5707964626809205) q[0];
ry(1.57079611431056) q[1];
ry(2.822488619723698) q[2];
ry(-1.5707962176107457) q[3];
ry(-1.634930315049281e-07) q[4];
ry(-9.100902984643424e-08) q[5];
ry(0.5032468351675925) q[6];
ry(1.5707961012894682) q[7];
ry(1.5707965082568425) q[8];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZZIIIIIIII",
"IIIIIIZIIIZII",
"IIZIIIZIIIIII",
"ZIIIIIIIZIIII",
"IIIIIIIZIIIIZ",
"IIZIIIIIIIIZI",
"IIIIIZZIIIIII",
"IZIIIIIIIIZII",
"IIIIIIIIIZZII",
"IIIZIIIIIIIII",
"IIIIZIIIIIIII",
"IIIIIIZIIIIII",
"IIIIIIIIIIZII",
"IIZIIIIIIIIII",
"IIIIIIIIZIIII",
"ZIIIIIIIIIIII",
"IIIIIIIZIII... | [
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
] | 0.777778 | [
1.5707964626809205,
1.57079611431056,
2.822488619723698,
-1.5707962176107457,
-1.634930315049281e-7,
-9.100902984643424e-8,
0.5032468351675925,
1.5707961012894682,
1.5707965082568425,
1.5707959917313292,
1.5707963627245307,
1.5707965032305673,
0.1767349694587604,
1.5707965087282154,
1.57... | {
"n_parameters": 24,
"n_qubits": 13,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 500 |
5bfd79024282ae69c62758a244a2de56 | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [10, 5], "expectation_value": -0.1667714903262516, "params": [[0.0733, 0.0669], [-0.063, -0.0534]], "bitstrings": ["110101", "111010"], "total_optimization_steps": 10, "probabilities": [0.018051545670558243, 0.018678005008429446], "optimization_time": 5.049201011657715} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -0.75 * Z(0) + -0.75 * Z(1) + 0.0 * Z(2) + -0.25 * Z(3) + -0.5 * Z(4) + -0.2... | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["111010", "110110", "110101", "110011"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(3.040705587759774) q[0];
ry(3.0322761206209288) q[0];
rz(0.23746657912877067) q[0];
rz(-0.5485384081350269) q[1];
ry(0.03463465039766057) q[1];
rz(1.8086014627808424) q[1];
rz(2.1740019225107847) q[2];
ry(2.742027400286282) q[2];
rz(-0.45482682963069987) q[2];
rz(0.8... | OPENQASM 3.0;
include "stdgates.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[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIIZZI",
"IIIZZZ",
"IZZIII",
"IIZZII",
"ZIIZII",
"ZIZIII",
"ZIZZII",
"ZZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.75,
-0.75,
0,
-0.25,
-0.5,
-0.25
] | 0.974004 | [
1.0529037450256176,
0.06477150500217821,
0.0632023087334098,
0.46017332254292537,
1.2192432119969236,
0.14088225722938502,
1.1314918741657554,
-0.05745195682464036,
-0.04240668812804869,
-0.5477397576739919,
-0.046155027306700576,
-0.6332603826055265,
1.1415462481792484,
-0.100403553526293... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 15 |
00c47f772e828bc0d4453cbe4002ef93 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 6}, ... | {"states": [97, 35], "expectation_value": -0.25583306483509394, "params": [[-0.08360000000000001], [0.078]], "bitstrings": ["0011110", "1011100"], "total_optimization_steps": 10, "probabilities": [0.008977827818704954, 0.008977827818704957], "optimization_time": 2.518160104751587} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(3) + -1.0 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -0.5 * Z(2) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["0011110", "1010110", "1011100"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.3740494778088388) q[0];
rz(0.038480760740334644) q[0];
ry(0.224551751390454) q[1];
rz(0.5370851894701437) q[1];
cx q[1], q[0];
ry(0.4448488714328079) q[0];
rz(0.05144857571396507) q[0];
ry(0.3371077171914179) q[1];
rz(0.08762329343067346) q[1];
ry(0.104881867130796... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4]... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZZIII",
"IIZIIIZ",
"IZIZIII",
"IZIIIIZ",
"IZZIIII",
"IIZIIZI",
"IIIIZZI",
"ZIIIZII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1,
-0.5,
-0.5,
0
] | 0.973285 | [
0.3740494778088388,
0.038480760740334644,
0.224551751390454,
0.5370851894701437,
0.10488186713079617,
0.1035541280360952,
-0.01808806022148845,
-0.024568873931475266,
0.25887705446175446,
0.13569640496103613,
0.02791278499853541,
0.3774374145905032,
1.1970490074798599,
-0.17339973107511375... | {
"n_parameters": 127,
"n_qubits": 9,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 80 |
15981867526b451292338ffade4ee93e | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [21, 42], "expectation_value": -0.501699992497754, "params": [[0.0722, 0.061000000000000006, 0.0654], [-0.0687, -0.0511, -0.0492]], "bitstrings": ["101010", "010101"], "total_optimization_steps": 10, "probabilities": [0.025343565328702355, 0.025343565328702366], "optimization_time": 3.227713108062744} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["010101", "101010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.0615767063417223) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(1.0615767063417223) q[2];
cx q[1], q[2];
h q[3];
cx q[0], q[3];
rz(1.0615767063417223) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(1.0615767063417223) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIIZ",
"ZIIIIZ",
"IIIZZI",
"IIZZII",
"IZIIZI",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.725469 | [
1.0615767063417223,
-0.31295547132631285,
-0.01907240403825381,
-2.5548485838209922,
-0.5424104057174817,
-0.020414202526432848,
0.19890450634838813,
1.7267918799232351
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 234 |
74e5b8afd1f04f850c8f51ecde3fef19 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": ... | {"states": [12, 3], "expectation_value": -1.664844682693842, "params": [[0.0663, 0.0763, 0.07440000000000001, 0.07970000000000001], [-0.0388, -0.059800000000000006, -0.058, -0.0655]], "bitstrings": ["110011", "111100"], "total_optimization_steps": 10, "probabilities": [0.031905436033428346, 0.03196928315772682], "optim... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(4) + -1.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["111100", "101101", "111001", "110011", "100111"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3288835488220096) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(-0.3288835488220096) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.3288835488220096) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(-0.3288835488220096) q[0];
cx q[3], q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-2,
-1,
-1,
-0.5,
-1.5
] | 0.710578 | [
-0.3288835488220096,
-0.4569013984649304,
0.39546902870984457,
-0.3214849664719219,
0.9367080556633262,
0.16515648853293044,
-0.1360939212779516,
0.39540444651921214,
0.8277812160071212,
-0.22629743565087163,
-0.6257377300833731,
0.5468911503864696,
0.21370137785717494,
0.4954772027731417,... | {
"n_parameters": 21,
"n_qubits": 10,
"optimal_eigenvalue": -3.4375,
"target_ratio": 0.97,
"target_value": -3.334375
} | 500 |
18eef7556e7c99f2056daf5370482c12 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 3}, {"weight": 20, "source": 0, "target": 5}, {"weight": 18, "source": 1, "tar... | {"states": [235, 234], "expectation_value": -21.97688729015399, "params": [[-0.0262, -0.00030000000000000003], [0.06910000000000001, 0.0665]], "bitstrings": ["100010100", "100010101"], "total_optimization_steps": 10, "probabilities": [0.005232289365021164, 0.006550433571416631], "optimization_time": 3.5658302307128906} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 170.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-1.910725201830011) q[0];
rz(-pi) q[0];
h q[1];
ry(14.226814631084332) q[1];
rz(-pi) q[2];
ry(-2.8276055261302573) q[2];
rz(-pi) q[3];
ry(-0.6037335772354969) q[3];
h q[4];
ry(-2.503200618475903) q[5];
rz(-pi) q[5];
cx q[1], q[5];
ry(-0.634351839760383) q[5];
cx q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIZII",
"IIZIIZIII",
"IIZZIIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
15,
5.5,
23.5,
18,
0.5,
22.5,
13,
5.5,
-1
] | 0.972353 | [
23.579116185633968,
63.12990552371649,
12.80359732253481,
14.226814631084332,
1.268703679520766,
-17.389883838771233,
4.50366295300341,
0.28630146122490274,
2.0891079396670342,
-41.664855259309064,
-18.144190662538225,
50.08291549902295,
-0.7897217290145451,
6.876816994677622,
49.5161117... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -89,
"target_ratio": 0.97,
"target_value": -86.33
} | 104 |
e5362bdf5e727045ae0e3b514af6e6e2 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [21, 29], "expectation_value": -4.227092711501436, "params": [[0.14300000000000002, 0.1345], [-0.1413, -0.1418]], "bitstrings": ["101010", "100010"], "total_optimization_steps": 20, "probabilities": [0.06354116522835711, 0.08090176547622775], "optimization_time": 2.3756906986236572} | -0.25 * (Z(0) @ Z(2)) + -1.0 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(5)) + 1.25 * Z(2) + -0.25 * Z(0) + -2.5 * Z(4) + 0.0 * Z(1) + -0.5 * Z(5) + 2.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["100010"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.6613510471018691) q[0];
h q[1];
ry(0.6363557243035431) q[1];
h q[2];
ry(0.8762410042703717) q[2];
h q[3];
ry(1.5797614988899453) q[3];
h q[4];
ry(-1.3227020942037382) q[4];
h q[5];
cx q[5], q[0];
ry(0.6613510471018691) q[0];
cx q[5], q[0];
ry(-0.1472698311... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"IZIIZI",
"ZIIIIZ",
"ZIIIZI",
"IIZZII",
"IIZIZI",
"ZIZIII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"ZIIIII",
"IIZIII"
] | [
-0.25,
-1,
-1.25,
-0.75,
1.75,
-1,
-0.5,
-1.25,
-1.25,
1.25,
-0.25,
-2.5,
0,
-0.5,
2
] | 0.973802 | [
-1.3227020942037382,
1.5797614988899453,
1.7411868845926435,
-0.2945396623583815,
1.2727114486070863,
0.4993285531882329,
1.7524820085407433,
-0.23870673944423812,
-0.4358087178782579,
0.06835119046574256,
-0.27794874849023343,
-0.29686600510111416,
0.5459314081296203,
-0.5128761408398687,... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 64 |
9a44f437194a4879d426f5b6a5686299 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [38, 7], "expectation_value": -23.13645609781897, "params": null, "bitstrings": ["11011001", "11111000"], "total_optimization_steps": 85, "probabilities": [0.10998425517769823, 0.6193304682934831], "optimization_time": 184.50713849067688} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.... | 11 | 8 | 2 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.08091434685478957) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.08091434685478957) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.08091434685478957) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.08091434685478957) q[3];
cx q[1], q[3]... | null | {"k": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.7752) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
-7.25,
-7,
-7,
-7,
-7.25,
-6.25,
-6.5,
-6.25
] | 0.97193 | [
0.08091434685478957,
0.19683262780482505,
-0.5276026023285014,
-0.2585790863730953,
0.6015554638553474,
0.11689174019538448,
-0.45237660767138255,
-0.07816655406896592,
-0.26502704531832566,
-0.8206004991266179,
-0.7539224517840958,
0.3364543138354996,
0.531455957300341,
-0.599578090869826... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 94 |
6690751951513120574 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 9, 4], [1, 4, 5, 6], [0, 2, 6, 7], [1, 3]]} | {"states": [959, 950], "expectation_value": -0.32753327134503973, "params": [0.8008000000000001, 0.0063, 0.7917000000000001, 0.0024000000000000002, 0.8077000000000001, 0.0165, 0.8048000000000001, 0.006, 0.8021, -0.012100000000000001, 0.7913, 0.0037, 0.7867000000000001, -0.1627, 0.3734, 0.0074, 0.8001, 0.016300000000000... | 0.16666666666666666 * (Z(8) @ Z(9)) + 0.16666666666666666 * (Z(4) @ Z(9)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.08333333333333... | 6 | 10 | 1 | {"smallest_eigenvalues": [-1.3333333333333335, -1.3333333333333335, -1.3333333333333335, -1.3333333333333335, -1.3333333333333335, -1.3333333333333335, -1.3333333333333335, -1.3333333333333335], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.3333333333333333, "smallest_bitstrings": ["0001010101", "0001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.007787779126162387) q[0];
rz(2.791315453530405) q[0];
rx(0.35807358092888625) q[1];
rz(1.483032144904616) q[1];
rx(1.4463389954711423) q[2];
rz(1.6714149399419993) q[2];
rx(-0.049169456133705845) q[3];
rz(1.1507055119909957) q[3];
rx(2.0965754229973177) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZZIIIIIIII",
"ZIIIIZIIII",
"IZIIIZIIII",
"IIIIIZIIZI",
"IIIIZZIIII",
"IIIIZIIIZI",
"IIIZIZIIII",
"IIIZIIIIZI",
"IIIZZIIIII",
"IIIZIIIIIZ",
"IIIZIIIZII",
"IIIIIIIZIZ",
"IIZZIIIIII",
"IIZIIIIIIZ",
"IIZIIIIZII",
"IIIIIIZIZI",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIIIIZIIII",
"IIIIIIIIZI"... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.083333333333333... | 0.970982 | [
-0.007787779126162388,
1.2205191267355093,
0.35807358092888625,
-0.08776418189028048,
1.4463389954711425,
0.1006186131471028,
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2.0965754229973177,
-0.009988986176038377,
0.9710689452019147,
0.05565214283967057,
1.6548675072115686,
0.043342131383507... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -1.3333333333333335,
"target_ratio": 0.97,
"target_value": -1.2933333333333334
} | 189 |
8a79729557c7d60966caddd458db4825 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [66, 162], "expectation_value": -5.038477779098509, "params": [[0.4706, 0.2793, 0.5004000000000001, 0.001, -0.0129, -0.0316, 0.5058, 0.004200000000000001], [0.4768, 0.28240000000000004, 0.5004000000000001, 0.0022, 0.004, -0.017400000000000002, 0.5052, 0.0018000000000000002], [0.49420000000000003, 0.281900000... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * Z(4) + -0.5 * Z(0) + -1.0 *... | 10 | 8 | 4 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -4.5, "smallest_bitstrings": ["01111100", "10110011", "00111101", "11110010", "01011101"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.38754729348619665) q[0];
ry(0.06015553787766878) q[1];
ry(0.6711948272426167) q[2];
ry(-0.06276737317706044) q[3];
ry(-0.1624619721479969) q[4];
ry(-0.09943691654500594) q[5];
ry(0.767528868085246) q[6];
ry(-0.04045856980088334) q[7];
cz q[7], q[6];
cz q[6], 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": []} | [
"IIIZIIIZ",
"IIZIIIIZ",
"IIZIIZII",
"IIIIIZZI",
"IIIZZIII",
"IIIIZZII",
"IIIIZIZI",
"ZIIIIZII",
"ZIIIIIZI",
"ZIIIZIII",
"IZIZIIII",
"IZZIIIII",
"IZIIZIII",
"IIIZIIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"ZIIIIIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1.5,
-1,
-2,
-1,
-1
] | 0.975628 | [
0.38754729348619665,
0.06015553787766878,
0.6711948272426167,
-0.06276737317706044,
-0.1624619721479969,
-0.09943691654500594,
0.767528868085246,
-0.04045856980088334,
0.7937996071125999,
0.03305134084280072,
0.043940901750927824,
0.07270548466421403,
-0.1267535922661356,
0.474599871221820... | {
"n_parameters": 37,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 6 |
6acf208e4a7576448df3aac23e7aee84 | 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": [697, 689], "expectation_value": -86.61695564911865, "params": [[[1.0252000000000001, -0.0008], [0.7786000000000001, 0.0024000000000000002], [0.067, -0.0032], [0.8429000000000001, 0.0056], [0.0024000000000000002, -0.0013000000000000002], [0.5915, 0.7862], [0.32270000000000004, 0.5579000000000001], [0.618, 0.... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(6) @ Z(0)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(10) @ Z(7)) + 6.5 * (Z(9) @ Z(10)) + 5.0 * Z(0) + 6.5 * Z(1) + 9.5 * Z(3) + -1.5 * Z(2) + 4.0 * Z(4) + 16.5 * Z(5... | 15 | 11 | 4 | {"smallest_eigenvalues": [-110.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -94.0, "smallest_bitstrings": ["10101001110"], "largest_eigenvalue": 132.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.9318268111524303) q[0];
ry(0.38931956515811894) q[1];
ry(0.3902911567247573) q[2];
ry(1.1272043707427177) q[3];
ry(-0.06813877106427911) q[4];
ry(0.6317778054059012) q[5];
ry(0.15416545826451308) q[6];
ry(-0.09477603974882308) q[7];
ry(0.07045239480556723) q[8];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZIIZI",
"IIIIIIZZIII",
"IIIZIZIIIII",
"IIIIZIIIIIZ",
"IIIIZZIIIII",
"IIIZZIIIIII",
"IIZIIZIIIII",
"ZIIZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIIIZIIII... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
5,
6.5,
9.5,
-1.5,
4,
16.5,
7.5,
13.5,
-5,
10,
-5.5
] | 0.970798 | [
0.9318268111524303,
0.38931956515811894,
0.3902911567247573,
1.1272043707427177,
-0.06813877106427911,
0.6317778054059012,
0.15416545826451308,
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0.07045239480556723,
-0.10074051305070131,
1.3521653325163223,
-0.04913882391824968,
0.08230118815715101,
0.0747159697521626... | {
"n_parameters": 84,
"n_qubits": 11,
"optimal_eigenvalue": -110,
"target_ratio": 0.97,
"target_value": -106.7
} | 77 |
9c2f02be2c499f1518832ddbbd315206 | 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": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, ... | {"states": [5, 69], "expectation_value": -2.0304835054282946, "params": [1.6483, 0.006200000000000001, 1.4359000000000002, 0.003, 1.3755000000000002, 0.0027, 0.003, 0.0081, 1.7114, 0.0039000000000000003, 1.4846000000000001, 0.0034000000000000002, 1.7546000000000002, 0.0037, 0.009600000000000001, 0.0014, 0.0087000000000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + -2.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(5) + -0.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(6) | 3 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.5, "smallest_bitstrings": ["0011110", "1001101", "1011100", "0101011", "1111000", "0111010", "0001111", "1101001"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-2.901167588346981) q[0];
rz(-0.2105070273682461) q[0];
rx(0.20971789230352275) q[1];
rz(0.657866821689816) q[1];
rx(0.062455288276377335) q[2];
rz(-1.11430263207646) q[2];
rx(0.21409063416784044) q[3];
rz(-0.03728581354816862) q[3];
rx(3.071209421739293) 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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IZIZIII",
"IZIIIIZ",
"IIIZIZI",
"IIZIIZI",
"IIIZZII",
"ZIIZIII",
"ZIIIZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIZIIII",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-0.5,
-0.5,
0,
-0.5,
-0.5
] | 0.971256 | [
3.3820177188326053,
-0.07486301144683405,
0.20971789230352275,
0.2140906341678404,
0.062455288276377335,
-0.6255287633609229,
0.35834076480290283,
3.071209421739293,
-0.04907887639235431,
-0.1210173864240168,
-0.8796050668496838,
3.524195307406011,
-0.9175017165581438,
-0.06560165821150515... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 23 |
e4c65d82be0d39aa5a43dd21b25413c9 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [52, 22], "expectation_value": -3.9964641631107405, "params": null, "bitstrings": ["001011", "101001"], "total_optimization_steps": 25, "probabilities": [0.06634837994155196, 0.9303663571669202], "optimization_time": 22.065721035003662} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -1.0 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -0.5 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001011", "101001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3247553284692968) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.3247553284692968) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.3247553284692968) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.3247553284692968) q[3];
cx q[2], q[3];
h ... | 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",
"IZIZII",
"IZIIIZ",
"ZIIIIZ",
"IIIZZI",
"ZIIIZI",
"IIZZII",
"ZIZIII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-0.5,
-1,
-0.5,
-0.5
] | 0.974813 | [
0.3247553284692968,
-1.3219445212436283,
-0.42592128972119486,
-1.3026339243679061,
-0.9080909678550849,
-1.1188009159857968,
0.06199065936474893,
-1.7911626886341159,
0.15201918715687204,
0.008349512126035533,
-0.1740273346787747,
-0.13593270342756683,
0.4345867108068353,
-0.2043119716458... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -63,
"target_ratio": 0.97,
"target_value": -61.11
} | 68 |
c5246f6903959b9335845edf46fbf2a2 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [137, 141], "expectation_value": -2.513627516192834, "params": [0.4005, -0.001, 0.40090000000000003, 0.0024000000000000002, 0.0541, 0.20980000000000001, 0.0499, 0.20470000000000002, 0.0623, 0.1962, 0.060700000000000004, 0.2018, 0.3839, 0.0166, 0.38530000000000003, 0.008700000000000001, 0.40030000000000004, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -0.5 * Z(0) + -1.0 * Z(6) + -1.0 * Z(2) + -0.5 * Z(4) + -0.5 * Z(7) + -0.5 * Z(3) + 0.0 * Z(5) | 7 | 8 | 2 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["01110010", "01100110"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.6222723141737118) q[0];
rz(0.2925115553861213) q[0];
rx(-0.018803321027959286) q[1];
rz(-0.14135592194868696) q[1];
cx q[1], q[0];
rz(-0.14802895428512353) q[0];
cx q[1], q[0];
rz(1.8113612170366968) q[0];
ry(2.359958338365422) q[0];
rz(-0.8319175607300737) q[0];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IZIIIIIZ",
"IIIIIZZI",
"IIIZIIZI",
"IIIZIZII",
"ZZIIIIII",
"ZIIIIZII",
"IZIIZIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IIIIZIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1,
-0.5,
-0.5,
-0.5,
0
] | 0.985192 | [
0.6222723141737119,
0.14448260110099787,
-0.018803321027959286,
-0.14135592194868696,
0.1295546573360551,
0.5011448081896153,
-0.21713045542422937,
0.009994956826333293,
1.0806826652359964,
0.2958041345699476,
0.8749322133552957,
-0.05715430085226492,
0.0760189833968081,
0.0602282195791588... | {
"n_parameters": 75,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 28 |
ed01866ce53def5a36a69737a2fd120b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [99, 67], "expectation_value": -0.32993417382571444, "params": [[0.0689, 0.059000000000000004], [-0.075, -0.0568]], "bitstrings": ["10011100", "10111100"], "total_optimization_steps": 10, "probabilities": [0.0056352788637090015, 0.005641784121220578], "optimization_time": 2.922234296798706} | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(7)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.25 ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["10000100", "10001100", "10011100", "10111100"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.129145857303265) q[0];
rz(-0.04281809130716757) q[0];
rx(3.3646756556499158) q[1];
rz(-0.07126208372567235) q[1];
rx(0.2591409259719783) q[2];
rz(0.304554161903536) q[2];
rx(0.009149764329273965) q[3];
rz(-0.1564246855355176) q[3];
rx(-0.039435622912399666) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IZIIIZII",
"ZZIIIIII",
"IIIIZZII",
"IIIZZIII",
"IIZIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IZIIIIII",
"IIIIZIII"
] | [
-0.25,
-0.25,
-0.5,
-0.25,
1.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
0,
-0.25,
0,
-1,
0.25,
0.25,
0.25,
0.5
] | 0.974438 | [
-0.129145857303265,
-0.04281809130716757,
3.3646756556499158,
-0.07126208372567235,
0.2591409259719783,
0.304554161903536,
0.009149764329273965,
-0.1564246855355176,
-0.039435622912399666,
-0.14455685554995432,
0.29369761094609903,
2.532166941005374,
-0.020718965674505502,
3.10609841605757... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 8 |
a20be77afa1a8b9b75f27972fb6e9517 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, ... | {"states": [73, 75], "expectation_value": -16.51061134322379, "params": [-0.0027, 2.2817000000000003, 1.5688, 0.0059, -0.0025, 2.4130000000000003, -0.0027, 0.6295000000000001, 1.5728, 0.49610000000000004, -0.0025, 2.4025000000000003, -0.7965, 2.0968, 1.5735000000000001, 0.0021000000000000003, -0.0027, 0.0004, 1.5694000... | -1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(5) @ Z(0)) + -0.25 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(0)) + 3.5 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(1) @ Z(5)) + -1.75 * (Z(1) @ Z(6)) + -1.25 * (Z(1) @ Z(7)) + -3.5 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z... | 3 | 8 | 2 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["10110100"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.05785398922763691) q[0];
rz(0.9342280145004445) q[0];
rx(0.7626187134539208) q[1];
rz(-0.24053467267746909) q[1];
rx(-0.10035809769432782) q[2];
rz(0.6211498284047625) q[2];
rx(0.04463559473375353) q[3];
rz(0.8788715835127476) q[3];
rx(0.8867672592479486) 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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIZIIIIZ",
"IZIIZIII",
"IZIIIIIZ",
"ZIIIIIIZ",
"ZZIIIIII",
"IIZIIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IIIIZZII",
"IIZIIZII",
"IIIIIZZI",
"IIIZIIZI",
"IIIZIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII"
] | [
-1.25,
-1.5,
-0.25,
-0.5,
3.5,
-1,
-0.5,
-1.75,
-1.25,
-3.5,
-0.25,
-0.5,
-0.5,
-0.75,
-1,
-0.25,
-0.75,
-1.5,
1.25,
1.5,
-0.5,
1.25
] | 0.978259 | [
-0.05785398922763691,
0.9626868323019014,
0.7626187134539207,
0.07050497449428902,
-0.10035809769432782,
1.126467781728492,
0.044635594733753524,
0.6411558748450237,
0.8867672592479487,
0.1939324997068545,
-0.10644275659624078,
0.5923681216939789,
0.8686606758937725,
0.5371592941047285,
... | {
"n_parameters": 89,
"n_qubits": 8,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 13 |
78fa1de4f4a21ed4fe88b300377e8f4a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [166, 230], "expectation_value": -0.9093055631648557, "params": [0.0026000000000000003, 0.0023, 1.6032000000000002, 0.0095, 1.5997000000000001, 0.0025, 1.6083, 0.0026000000000000003, 0.9953000000000001, 0.0083, 1.2686, 0.0043, 1.6083, 0.0055000000000000005, 1.6107, 0.0068000000000000005, 0.9952000000000001, ... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(1... | 18 | 9 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["101010010", "100011010", "100011001", "110001001"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.1304718053592922) q[0];
rz(0.08317965897522939) q[0];
rx(0.2900504482646137) q[1];
rz(-0.18829532181346575) q[1];
rx(0.5890408046485281) q[2];
rz(-0.04048806474972233) q[2];
rx(0.48578622321668796) q[3];
rz(-0.1889192019892203) q[3];
rx(-0.06916883436876675) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIIZIIZI",
"IIIZIIZII",
"IIIZIZIII",
"IIZIIZIII",
"IZIIIZIII",
"IIZZIIIII",
"IZIZIIIII",
"IZZIIIIII",
"IIZZIZIII",
"IZIZIZIII",
"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.625,
-0.125,
-0.125,
0.25,
-0.25,
-0.125,
... | 0.973257 | [
-0.1304718053592922,
0.05152563206170092,
0.2900504482646138,
-0.195018097202669,
0.5890408046485284,
-0.0005057222015976623,
0.48578622321668796,
-0.06278194468713005,
-0.06916883436876677,
0.15393805400353994,
0.13914744505617316,
0.03389002351417578,
0.6013866359115193,
-0.1438901959192... | {
"n_parameters": 96,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 12 |
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