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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
3c8bd33161699cb22d1ae18a511877e9 | 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": 12, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 5}, {"weight": 12, "source": 0, "tar... | {"states": [252, 244], "expectation_value": -36.53824497358143, "params": [[-0.0256, -0.0009000000000000001, -0.0013000000000000002, 0.0178], [0.0707, 0.0635, 0.0627, 0.0506]], "bitstrings": ["100000011", "100001011"], "total_optimization_steps": 10, "probabilities": [0.00804484653485418, 0.009676534305156081], "optimi... | 4.5 * (Z(0) @ Z(3)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-85.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 187.0} | 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(0.1515728488958203) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.1515728488958203) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(0.1515728488958203) q[1];
cx q[0], q[1];
cx q[3], q[2];
rz(0.1515728488958203) q[2];
cx q[3], q[2];
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": []} | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIZZIII",
"IIIIZIIIZ",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"ZIIIIZIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"... | [
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,
24,
12,
14.5,
15,
19,
18.5,
0.5,
-1,
12.5
] | 0.971954 | [
0.1515728488958203,
-1.1352170474079428,
0.5746817592287118,
-0.8649704692143048,
-0.7701087377673534,
-1.3915974306549959,
-0.4029895134716305,
0.7478510481473699,
1.170458017734305,
1.0471777458739444,
0.2871058204447927,
-0.20368695777537055,
-0.4285298091014381,
0.8994547323501563,
-... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -85,
"target_ratio": 0.97,
"target_value": -82.45
} | 49 |
ad1ac98d2a374df439432fe378bbbe81 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 9}, {"capacity": 3, "source": 1, "target": 3}, {"capac... | {"states": [0, 1], "expectation_value": -8.771348310742379, "params": [0.0038, 0.3786, 0.0025, 0.5677, 0.0024000000000000002, 0.5909, 0.0026000000000000003, 0.5947, 0.0034000000000000002, 0.3185, 0.005200000000000001, -0.0757, 0.0021000000000000003, 0.39980000000000004, 0.0022, 0.6002000000000001, 0.0027, 0.5954, 0.806... | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(9) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(9)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(7)) + -1.25 * (Z(8) ... | 4 | 10 | 2 | {"smallest_eigenvalues": [-9.25, -9.25, -9.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -8.25, "smallest_bitstrings": ["1000000000", "1111111110", "1111101110"], "largest_eigenvalue": 9.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.0801147679992092) q[0];
rz(2.0230024860443585) q[0];
rx(-0.05486193411688716) q[1];
rz(2.1493284760763434) q[1];
rx(0.08448197820253409) q[2];
rz(2.0480345174987757) q[2];
rx(0.028854398217909326) q[3];
rz(2.0582631838348187) q[3];
rx(0.0008718496037206092) 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": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"ZIIIIIIIIZ",
"IIIIIIZIZI",
"IIIIIIIZZI",
"ZIIIIIIZII",
"IIZIIIZIII",
"IIZIIIIZII",
"IIIZIIIIZI",
"IIIZIIZIII",
"IIIZIIIZII",
"IIZZIIIIII",
"IZIIIIZIII",
"IZZIIIIIII",
"IZIZIIIIII",
"IIIIIZIIZI",
"IIIZIZIIII",
"IZIIZIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"ZIIIIIIIII"... | [
-0.25,
0.5,
-0.75,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.75,
-0.75,
-0.5,
-0.5,
-0.75,
-1.25,
-0.75,
-0.5,
-0.25,
-1,
-0.25,
0.25,
0.75,
0,
0,
1.5,
-1.75,
0.25,
0.25
] | 0.970982 | [
-0.08011476799920919,
0.4522061592494613,
-0.054861934116887154,
0.5785321492814464,
0.08448197820253407,
0.4772381907038794,
0.028854398217909322,
0.48746685703992193,
0.0008718496037206092,
0.41142100132440196,
-0.16018453689638,
-0.0979158832060109,
0.11953026359847133,
0.53717453884588... | {
"n_parameters": 54,
"n_qubits": 10,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 9 |
cc7438f9c3f135fc425e5dafbb725117 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, ... | {"states": [23, 51], "expectation_value": -0.0330871501388911, "params": [[-0.0296], [0.0304]], "bitstrings": ["1101000", "1001100"], "total_optimization_steps": 10, "probabilities": [0.008023533468194153, 0.008023533468194153], "optimization_time": 1.3327345848083496} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -0.5 * Z(1) + -2.0 * Z(0) + 0.0 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1101000", "1001100"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.28363337578134423) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.28363337578134423) q[2];
cx q[0], q[2];
rz(1.0081308575849182) q[2];
rx(-1.6880372877106562) q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.28363337578134423) q[4];
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;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IZIZIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-2,
0,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.736672 | [
-0.28363337578134423,
-0.0956092508422771,
-1.97237725602297,
1.0081308575849182,
-1.6880372877106562,
0.4749848957366021,
-0.31836225207537955,
-4.3213344847686335,
-0.6870630827277984
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 340 |
23f356e4fc2150c1153c4d85ead8a085 | 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": 3, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 8}, {"weight": 17, "source": 0, "target": 7}, {"weight":... | {"states": [444, 428], "expectation_value": -75.15442553021941, "params": [0.45740000000000003, -0.45380000000000004, 0.45930000000000004, 0.0056, 1.3019, 0.0551, 1.2949000000000002, 0.004, 1.3010000000000002, 0.1041, 1.3064, 0.0086, 0.0685, 0.6234000000000001, 0.0679, 0.0082, 1.2947, 0.023, 1.2936, 0.0082, 0.9241, 0.3... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(2)) + 5.5 * (Z(9) @ Z(6)) + 19.5 * Z(1) + 1.5 * Z(0) + 14.5 * ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-100.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -87.0, "smallest_bitstrings": ["1001010011"], "largest_eigenvalue": 165.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.049470053567183196) q[0];
rz(1.9689782702236487) q[0];
rx(0.7484037819545222) q[1];
rz(1.8148116808149224) q[1];
rx(0.4097116659138291) q[2];
rz(1.6835901354601832) q[2];
rx(-0.09172289595715188) q[3];
rz(1.6520724145787646) q[3];
rx(0.6863326622658462) q[4];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIZZIII",
"IIIZIZIIII",
"IIIIZZIIII",
"IIIZZIIIII",
"IIZIIIIIZI",
"IIZIZIIIII",
"IZIIIIIIZI",
"IZZIIIIIII",
"ZIIIIIIZII",
"ZIIZIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIZIIIIII",
"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,
19.5,
1.5,
14.5,
14.5,
-1.5,
13.5,
9.5,
15.5,
4.5,
2
] | 0.972273 | [
0.049470053567183196,
0.398181943428752,
0.7484037819545222,
0.244015354020026,
0.4097116659138291,
0.11279380866528704,
-0.0917228959571519,
0.08127608778386816,
0.6863326622658462,
-0.004120433061756877,
0.19741431745778826,
-0.24892045198444362,
0.5301557201117091,
-0.15996998925599498,... | {
"n_parameters": 96,
"n_qubits": 10,
"optimal_eigenvalue": -100,
"target_ratio": 0.97,
"target_value": -97
} | 84 |
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": [24, 12], "expectation_value": -0.29060718563753324, "params": [[0.07540000000000001], [-0.06960000000000001]], "bitstrings": ["100111", "110011"], "total_optimization_steps": 10, "probabilities": [0.017322811025107597, 0.017322811025107604], "optimization_time": 1.302016258239746} | 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 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[1... | 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 |
44dacfe202593d38d27b1900f1e3c9cb | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [112, 104], "expectation_value": -4.996515624145526, "params": null, "bitstrings": ["0001111", "0010111"], "total_optimization_steps": 24, "probabilities": [0.06700894031405208, 0.9297461660320782], "optimization_time": 19.23896312713623} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * Z(4) + -1.0 * Z(0) + -2.0 * Z(5) + -1.5 * Z(6) + 0.0 * Z(1) + -1.0 * Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1010011", "0010111", "0001111"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.498214373555806) q[0];
h q[1];
ry(1.5729680172307) q[1];
h q[2];
ry(-0.5206531089606106) q[2];
h q[3];
cx q[3], q[2];
ry(0.5206531089606106) q[2];
cx q[3], q[2];
ry(-0.7572028223353544) q[2];
ry(0.9590918998445399) q[3];
cx q[1], q[3];
ry(-0.201581106472779... | 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", ... | [
"IIZIIIZ",
"IZZIIII",
"IZIIIIZ",
"ZIZIIII",
"ZIIIIIZ",
"ZZIIIII",
"ZIIIIZI",
"IIZIZII",
"IZIIZII",
"IZIZIII",
"IIIZZII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-2,
-1.5,
0,
-1,
-0.5
] | 0.998543 | [
-1.5344843944901116,
-1.5502120455956891,
-1.4138900630759628,
1.5729680172307,
1.498214373555806,
-1.0413062179212211,
0.7575107933717606,
-0.5341146279279245,
0.40316221294555876,
-0.44617638881486005,
0.3195043901026477,
-0.08398047723390256,
0.00900809255209721,
0.09919787981410061,
... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
1c92797ebdc5766ffafd498d21cf8a8a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": ... | {"states": [3, 12], "expectation_value": -0.5958031554670198, "params": [[-0.0731, -0.061500000000000006], [0.0779, 0.0693]], "bitstrings": ["111100", "110011"], "total_optimization_steps": 10, "probabilities": [0.020636215601945316, 0.021603428407443497], "optimization_time": 2.907064437866211} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(5) + -0.5 * Z(1) + -1.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["111100", "001111", "101011", "110011", "101110", "011101"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3263252853866216) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.3263252853866216) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.3263252853866216) q[1];
cx q[1], q[0];
rz(-0.2868445573421025) q[0];
cx q[1], q[0];
cx q[2], q[1];
h q[3];
h... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"ZIIZII",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"IZIZII",
"IZZIII",
"IZIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1,
-0.5,
-1
] | 0.67707 | [
0.3263252853866216,
-0.2868445573421025,
0.8549473281324195,
0.15280073471375832,
-0.09601834521733131,
0.07301194046511382,
-0.5945200247002729,
0.6127883089730268,
-0.7279343502043079,
1.0826034920116065,
0.3316483973775847,
-0.3459484728746911,
-0.416855612655761
] | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 280 |
cdebb0ff57d978f02570c25d92c999db | 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": [1937, 1681], "expectation_value": -96.86815208705617, "params": [0.30810000000000004, 0.1869, 0.5969, 0.0086, 0.5942000000000001, 0.0482, 0.35900000000000004, 0.124, 0.5982000000000001, 0.0357, 0.0011, 0.3195, 0.0022, 0.4228, 0.606, 0.12300000000000001, 0.2898, 0.21150000000000002, 0.0014, 0.337900000000000... | 7.5 * (Z(0) @ Z(2)) + 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(8) @ Z(1)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(9) @ Z(4)) + 7.5 * (Z(11) @ Z(2)) + 7.5 * (Z(11) @ Z(0)) + 7.5 * (Z(10) @ Z(11)) + 20.5 * Z(2) + 2.0 * Z(0) + 14.5 * Z(1) + 3.5 * Z(3) ... | 18 | 12 | 4 | {"smallest_eigenvalues": [-144.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -124.0, "smallest_bitstrings": ["100101101110"], "largest_eigenvalue": 152.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.15896800656594262) q[0];
rz(0.06807219682795296) q[0];
rx(0.9119403288963844) q[1];
rz(0.03469142513254462) q[1];
rx(0.7978464602091346) q[2];
rz(0.2557237254035681) q[2];
rx(0.08529622041564361) q[3];
rz(0.07584757126606591) q[3];
rx(0.8970492990605218) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZZII",
"IIIIIIIIZIZI",
"IIIIIIZZIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIZI",
"IIIZZIIIIIII",
"IIZIIIIZIIII",
"ZIIIIIIIIZII",
"ZIIIIIIIIIIZ",
"ZZIIIIIIIIII",
"IIIIIIIIIZII",
"IIIIIIIIIIIZ",
"IIIIIIIIIIZI",
"IIIIIIIIZIII",
"IIIIIIIZIIII",
"IIIIIIZII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
20.5,
2,
14.5,
3.5,
9,
-5.5,
9,
-7,
2,
-6,
17.5,
-2.5
] | 0.97408 | [
0.15896800656594262,
-0.023870879541007986,
0.9119403288963844,
0.03469142513254462,
0.7978464602091346,
0.2557237254035681,
0.08529622041564361,
0.07584757126606591,
0.8970492990605218,
0.08917051588879234,
0.022230111988035303,
0.39024540005067737,
-0.08013500452435438,
0.653369223821308... | {
"n_parameters": 135,
"n_qubits": 12,
"optimal_eigenvalue": -144,
"target_ratio": 0.97,
"target_value": -139.68
} | 13 |
41e371d8cc4122e6ac05fda4a9a733df | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 4, "source": 2, "target": 3}, {"capacity": 1, "so... | {"states": [15, 1], "expectation_value": -0.2788664703702563, "params": [[-0.0285, -0.0531], [0.0324, 0.0533]], "bitstrings": ["10000", "11110"], "total_optimization_steps": 10, "probabilities": [0.03682138534807883, 0.03791760502486346], "optimization_time": 2.0915989875793457} | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(1) @ Z(3)) + -1.0 * (Z(2) @ Z(3)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -1.0 * Z(3) + -0.25 * Z(0) + 0.75 * Z(1) + 0.0 * Z(2) + 0.5 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(-0.21164019377002524) q[0];
rz(0.29993552628560155) q[0];
rx(0.022404456669019523) q[1];
rz(0.24112094905567866) q[1];
rx(-0.12021742964398797) q[2];
rz(0.022404456669019523) q[2];
rx(0.020942544473592298) q[3];
rz(0.08815478690614406) q[3];
rx(2.9671795821067803) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IZIIZ",
"IZIZI",
"IZZII",
"IIZZI",
"ZZIII",
"ZIIIZ",
"ZIIZI",
"ZIZII",
"IZIII",
"IIIIZ",
"IIIZI",
"IIZII",
"ZIIII"
] | [
-1,
-0.75,
-1,
-1.25,
-0.25,
1.25,
-0.25,
-0.25,
-1,
-0.25,
0.75,
0,
0.5
] | 0.984363 | [
-0.21164019377002524,
0.29993552628560155,
0.022404456669019523,
0.24112094905567866,
-0.12021742964398797,
0.020942544473592298,
0.08815478690614406,
2.9671795821067803,
-0.6183644341907681
] | {
"n_parameters": 9,
"n_qubits": 5,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 9 |
-3674036597387748127 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 3, 4, 8], [3, 4, 5], [8, 2, 3, 4], [0, 2, 4], [8, 5, 7], [2, 3, 4, 6, 7], [0, 1, 4, 5, 8], [0, 1, 2, 3, 6, 8]]} | {"states": [307, 311], "expectation_value": -2.025311099486453, "params": null, "bitstrings": ["011001100", "011001000"], "total_optimization_steps": 52, "probabilities": [0.013251503591744566, 0.9436009659035857], "optimization_time": 121.00382566452026} | 0.13333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333334 * (Z(3) @ Z(1)) + 0.08333333333333334 * (Z(3) @ Z(0)) + 0.1 * (Z(4) @ Z(1)) + 0.26666666666666666 * (Z(4) @ Z(0)) + 0.35 * (Z(4) @ Z(3)) + 0.13333333333333333 * (Z(8) @ Z(1)) + 0.13333333333333333 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(8) @ Z(3)) + 0.1833333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.05, -2.05], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.016666666666666, "smallest_bitstrings": ["100100010", "011001000"], "largest_eigenvalue": 7.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
ry(-0.22014415011388366) q[1];
h q[2];
ry(-0.2246906981472278) q[2];
cx q[0], q[2];
ry(0.2246906981472278) q[2];
cx q[0], q[2];
ry(0.5629892885084343) q[0];
ry(-0.10731528227089916) q[2];
h q[3];
h q[4];
ry(1.4685039376536098) q[4];
h q[5];
ry(-0.1794423... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5499) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZZIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIZIII",
"ZIIIZIIII",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIZIII",
"IIIZZIIII",
"ZIIZIIIII",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIZII",
"ZIIIIIZII",
"IZIIIZIII",
"... | [
0.13333333333333333,
0.08333333333333334,
0.08333333333333334,
0.1,
0.26666666666666666,
0.35,
0.13333333333333333,
0.13333333333333333,
0.16666666666666666,
0.18333333333333335,
0.05,
0.05,
0.16666666666666666,
0.21666666666666667,
0.21666666666666667,
0.03333333333333333,
0.1999999... | 0.983677 | [
1.4685039376536098,
1.3295964637774516,
0.5762240999671344,
-0.4493813962944556,
0.4291765156901608,
0.2771688065762853,
-0.3588847718935236,
-0.21463056454179832,
0.3676787700193534,
-0.33747918987954384,
0.5331649152059814,
-0.20566113722237864,
0.3906210369781619,
-0.34511936047582614,
... | {
"n_parameters": 49,
"n_qubits": 9,
"optimal_eigenvalue": -2.05,
"target_ratio": 0.97,
"target_value": -1.9884999999999997
} | 1 |
92977879d93808800c1e23dcfc7674ef | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 3... | {"states": [1, 63], "expectation_value": -1.2534875319214271, "params": [[0.07490000000000001, 0.0741], [-0.0828, -0.0796]], "bitstrings": ["1111110", "1000000"], "total_optimization_steps": 10, "probabilities": [0.01661467486588406, 0.0175165820294468], "optimization_time": 2.6742124557495117} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(5)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + 1.0 * Z(2) + -0.25 * Z(0) + -0.25 * Z(5) + 0.0 * Z(1) + 0.25 * Z(6) + -1.5 * Z(3) + 0.... | 1 | 7 | 2 | {"smallest_eigenvalues": [-7.75, -7.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.75, "smallest_bitstrings": ["1000000", "1111110"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(1.3261269853696955) q[0];
ry(0.15280812214778283) q[0];
rz(-0.9337312810805996) q[0];
rz(1.9964547680865152) q[1];
ry(0.012800230110904963) q[1];
rz(-1.05764626837213) q[1];
rz(1.8549141366812627) q[2];
ry(0.11932868904959167) q[2];
rz(-1.180939263083199) q[2];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IZIIZII",
"IZIIIZI",
"ZIIIIIZ",
"ZIIIIZI",
"IIIZZII",
"IZIZIII",
"IIZIZII",
"IIZIIZI",
"IIZZIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
-0.25,
-0.5,
-0.5,
0.5,
-0.25,
-1.25,
-1.75,
-1,
-0.75,
-1,
1,
-0.25,
-0.25,
0,
0.25,
-1.5,
0.75
] | 0.971819 | [
0.2272475611940175,
0.4377124216033437,
0.007027150486334427,
0.8512983117083938,
0.06214994664994243,
0.5671964715179287,
0.7475781204584308,
-0.1054743656991431,
0.8578104341995038,
-0.0897300356332893,
0.7944609943390304,
1.1250250205416625,
0.10067833046202983,
-0.0870985131794334,
-... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 8 |
-860216705065751549 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 2, 4], [2, 6, 7, 8, 9], [9, 2, 5], [0, 10, 5, 6], [9, 10, 5, 6], [8, 10, 2, 5], [8, 1], [3, 5], [11, 7]]} | {"states": [2268, 2270], "expectation_value": -2.962916540623382, "params": [3.1390000000000002, 0.0008, -0.0023, 0.0013000000000000002, 0.3821, 0.0055000000000000005, 0.0029000000000000002, 0.007200000000000001, 3.1397, 0.0018000000000000002, 3.1387, 0.007200000000000001, 0.41490000000000005, 0.0071, 3.1391, 0.0034000... | 0.3 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.05 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(8)) + 0.05 * (Z(7) @ Z(2)) + 0.05 * (Z(7) @ Z(8)) + 0.05 * (Z(7) @ Z(6)) + 0.21666666666666667 * (Z(9) @ Z(2)) + 0.05 * (Z(9) @ Z(8)) + 0.13333333333333333 * (Z(9) @ Z(6)) + 0.05 * (... | 3 | 12 | 1 | {"smallest_eigenvalues": [-3.116666666666667, -3.116666666666667, -3.116666666666667], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.033333333333334, "smallest_bitstrings": ["100100001101", "011100100001", "010011010000"], "largest_eigenvalue": 7.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(3.1215995241030363) q[0];
rz(-0.09528790868506398) q[0];
rx(0.22766263166876277) q[1];
rz(-0.07629802180865664) q[1];
rx(0.040487913424589135) q[2];
rz(-0.11880267260511967) q[2];
rx(-0.02583372303842164) q[3];
rz(-0.052982444373629534) q[3];
rx(-2.9786164588865147)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IIIZIIIIIZII",
"IIIIIIIZIZII",
"IIIZIIIZIIII",
"IIIIIZIIIZII",
"IIIZIZIIIIII",
"IIIIZIIIIZII",
"IIIZZIIIIIII",
"IIIIZZIIIIII",
"IIZIIIIIIZII",
"IIZZIIIIIIII",
"IIZIIZIIIIII",
"IIZIZIIIIIII",
"IIIIIIZIIZII",
"IIIZIIZIIIII",
"IIIIIZZIIIII",
"IIZIIIZIIIII",
"IIIIIZIIIIIZ",
"IIIIIIZII... | [
0.3,
0.16666666666666666,
0.16666666666666666,
0.05,
0.05,
0.05,
0.05,
0.05,
0.21666666666666667,
0.05,
0.13333333333333333,
0.05,
0.25,
0.08333333333333333,
0.16666666666666666,
0.25,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666... | 0.973449 | [
3.1215995241030363,
-0.10260937336782144,
0.22766263166876277,
-0.09057307469558383,
0.04048791342458913,
-0.08211472450036987,
-0.02583372303842164,
-0.07337589620949946,
3.304568848293072,
0.11023705817067653,
3.092160563285245,
0.19842517664498072,
-0.17570339529769083,
3.17418415476425... | {
"n_parameters": 30,
"n_qubits": 12,
"optimal_eigenvalue": -3.116666666666667,
"target_ratio": 0.97,
"target_value": -3.023166666666667
} | 7 |
7213bcdac492d012065ef417f31c81b5 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 7}, {"weight": 11, "source": 0, "target": 3}, {"weight": 8, "source": 2, "targ... | {"states": [380, 220], "expectation_value": -21.86247233727275, "params": [[0.0354, 0.0014, 0.0086], [-0.07100000000000001, -0.0429, -0.0334]], "bitstrings": ["010000011", "100100011"], "total_optimization_steps": 10, "probabilities": [0.0069542076732406095, 0.00872277312297885], "optimization_time": 6.641738414764404} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-81.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 165.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.20340396474871564) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.20340396474871564) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.20340396474871564) q[1];
cx q[0], q[1];
rz(0.5775232461541333) q[0];
rx(0.06917124980124593) q[0];
h q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10.5,
2.5,
19,
13,
12,
15,
21.5,
-2,
6
] | 0.97222 | [
0.20340396474871564,
-0.3067038430799865,
0.5775232461541325,
-1.6381325054182243,
-0.4463172640294553,
-1.5867492627759474,
-1.750354489443055,
-1.983169579287282,
0.5800697346675281,
0.09245405732541026,
0.06917124980124599,
0.22803559221962097,
-0.40505351954549285,
0.10795793888031349,... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -81,
"target_ratio": 0.97,
"target_value": -78.57
} | 70 |
-2488289620093450302 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[5, 6, 7, 8, 10], [4, 7], [1, 2, 6, 7, 8, 11], [0, 2, 11, 6], [1, 2, 3, 5, 6, 10], [11, 3, 7], [5, 6, 8, 9, 11], [0, 3, 4, 5, 8, 10], [8, 9, 3, 5], [1, 3, 4, 8, 11], [0, 8, 6], [8, 9, 10, 5], [0, 2, 7, 8, 10], [2, 5, 6, 7, 11], [0, 9, 10, 3], [0, 2, 4, 8,... | {"states": [3671, 943], "expectation_value": -1.3880082633817858, "params": [[0.1738], [-0.1822]], "bitstrings": ["000110101000", "110001010000"], "total_optimization_steps": 20, "probabilities": [0.0004905200487590288, 0.0004914090392671434], "optimization_time": 45.14036464691162} | 0.26666666666666666 * (Z(5) @ Z(6)) + 0.13333333333333336 * (Z(7) @ Z(6)) + 0.1 * (Z(7) @ Z(5)) + 0.30000000000000004 * (Z(8) @ Z(6)) + 0.3833333333333333 * (Z(8) @ Z(5)) + 0.13333333333333336 * (Z(8) @ Z(7)) + 0.13333333333333336 * (Z(10) @ Z(6)) + 0.3 * (Z(10) @ Z(5)) + 0.1 * (Z(10) @ Z(7)) + 0.35 * (Z(10) @ Z(8)) + ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-4.916666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.466666666666667, "smallest_bitstrings": ["110001010000"], "largest_eigenvalue": 20.50000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[5];
rz(-0.0025753692009144753) q[5];
cx q[6], q[5];
h q[7];
cx q[6], q[7];
rz(-0.00014445484360139395) q[7];
cx q[6], q[7];
cx q[5], q[7];
rz(0.003473656914230643) q[7];
cx q[5], q[7];
h q[8];
cx q[6], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZIIIII",
"IIIIZZIIIIII",
"IIIIZIZIIIII",
"IIIZIZIIIIII",
"IIIZIIZIIIII",
"IIIZZIIIIIII",
"IZIIIZIIIIII",
"IZIIIIZIIIII",
"IZIIZIIIIIII",
"IZIZIIIIIIII",
"IIIIIZIZIIII",
"IIIIIIZZIIII",
"IIIIZIIZIIII",
"IIIZIIIZIIII",
"IZIIIIIZIIII",
"IIIIIZIIIIZI",
"IIIIIIZIIIZI",
"IIIIZIIII... | [
0.26666666666666666,
0.13333333333333336,
0.1,
0.30000000000000004,
0.3833333333333333,
0.13333333333333336,
0.13333333333333336,
0.3,
0.1,
0.35,
0.08333333333333334,
0.15000000000000002,
0.5,
0.16666666666666669,
0.08333333333333334,
0.1,
0.1,
0.03333333333333333,
0.2,
0.11666... | 0.745406 | [
-0.0025753692009144753,
-0.00014445484360139395,
0.003473656914230643,
-0.00116953155555495,
0.0038406099265653757,
0.00554019394027702,
0.0031044301363985626,
-0.010216308905957953,
1.5743411367155078,
-0.0025230636120868438,
0.002660408856497546,
-0.0006527958437047366,
-0.0017791770457592... | {
"n_parameters": 29,
"n_qubits": 12,
"optimal_eigenvalue": -4.916666666666667,
"target_ratio": 0.97,
"target_value": -4.769166666666667
} | 500 |
646c4ffdec7c3b688313fcfec6df6ea9 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [28, 14], "expectation_value": -1.7498598566152803, "params": null, "bitstrings": ["100011", "110001"], "total_optimization_steps": 40, "probabilities": [0.07847302400775502, 0.672570709162398], "optimization_time": 33.54814791679382} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(3)) + -0.25 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z... | 1 | 6 | 3 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["001110", "110001", "010101", "101010", "011100", "100011"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(1.9669260845713552) q[0];
ry(0.1024795632901214) q[0];
rz(-1.7618896224722536) q[0];
rz(1.3195676915300085) q[1];
ry(2.675781808525202) q[1];
rz(-2.101131985716676) q[1];
rz(0.659445598074063) q[2];
ry(2.9276292745841843) q[2];
rz(-2.5769113250260087) q[2];
rz(-1.592... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.3016) q[2], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIIIZZ",
"IIIZIZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZIIZI",
"ZIIZII",
"IZZIII",
"ZIZIII",
"ZZIIII",
"ZZZIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25
] | 0.973844 | [
-0.03861409541289346,
0.30559213356773784,
0.7326018024600061,
-0.06435106480608022,
0.9547122432617727,
-0.15670419204282596,
1.266054401368888,
0.002295537787968205,
-0.1307986670653961,
0.03183210554700622,
0.016147551089138828,
-0.018645541425944934,
1.0077607251862293,
1.0367697074034... | {
"n_parameters": 27,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 9 |
0824141993de0605a5780c31766fb0d0 | 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}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"s... | {"states": [4094, 8191], "expectation_value": -11.24773016416659, "params": [[[-0.9342, 1.1013], [0.07880000000000001, 1.1018000000000001], [-0.004, 0.1265], [-0.0021000000000000003, 0.0008], [-0.0031000000000000003, -0.0034000000000000002], [-0.0025, -0.0023], [-0.0028, 0.0015], [-0.0035, -0.0019], [-0.0028, -0.003], ... | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(6)) + -1.5 * (Z(9) @ Z(12)) + -2.0 * (Z(10) @ Z(12)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(11) @ Z(12)) + -1.5 * (Z(11) @ Z(10)) + -1.5 * (Z(2) @ Z(3)) + -2.0 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(5... | 15 | 13 | 1 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["0000000000000"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(-0.06438086286573616) q[0];
ry(-0.23093391585129905) q[1];
ry(0.0360905935148646) q[2];
ry(0.035574345273737) q[3];
ry(0.20872936832597438) q[4];
ry(0.02783717308494235) q[5];
ry(-0.17864474262483448) q[6];
ry(-0.10773009272339733) q[7];
ry(-0.17864474262483448) q[8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIZZIIIIII",
"IIIIZZIIIIIII",
"IIIIZIZIIIIII",
"ZIIZIIIIIIIII",
"ZIZIIIIIIIIII",
"IIZZIIIIIIIII",
"ZZIIIIIIIIIII",
"IZZIIIIIIIIII",
"IIIIIIIIIZZII",
"IIIIIIIZIZIII",
"IIIIIIIZIIZII",
"IIIIIIIIZZIII",
"IIIIIIIZZIIII",
"IIIIIIIIIIIZI",
"IIIIIIIIIIIIZ",
"IIIIIZIIIII... | [
-1,
-2,
0.5,
-2,
-1.5,
-2,
0.5,
0.5,
-1.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
0.5,
0.5,
1,
-1.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.972607 | [
-0.06438086286573616,
-0.23093391585129905,
0.0360905935148646,
0.035574345273737,
0.20872936832597438,
0.02783717308494235,
-0.17864474262483448,
-0.10773009272339733,
-0.1601889571003944,
0.09215077668481968,
3.1793752255001455,
0.13166936173017074,
-0.0472238113484475,
-0.01738619628106... | {
"n_parameters": 20,
"n_qubits": 13,
"optimal_eigenvalue": -18,
"target_ratio": 0.97,
"target_value": -17.46
} | 40 |
24ad81747c6bd1903cd58d045c41656e | 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": 10, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 7}, {"weight": 15, "source": 0, "target": 6}, {"weight": 4, "source": 2, "tar... | {"states": [219, 218], "expectation_value": -55.729587633774756, "params": [[-0.0164, -0.0347, -0.0772, -0.08410000000000001], [0.4852, 0.4395, 0.3311, 0.24500000000000002]], "bitstrings": ["100100100", "100100101"], "total_optimization_steps": 60, "probabilities": [0.18491338236576477, 0.1907489308495785], "optimizati... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(7)) + 16.5 * Z(2) + 5.0 * Z(0) + 16.5 * ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 145.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.18987318583714946) q[0];
rz(0.08611570117784861) q[0];
rx(3.008708522618427) q[1];
rz(0.37688852047103694) q[1];
rx(3.172182647066266) q[2];
rz(0.05701815205645913) q[2];
rx(-0.05299085269519477) q[3];
rz(0.0924171370297011) q[3];
rx(2.8889981301055943) 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\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIZIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
16.5,
5,
16.5,
10,
2,
6.5,
2,
14.5,
14
] | 0.974941 | [
0.1898731858371494,
0.09588051186810906,
3.008708522618427,
0.37688852047103694,
3.172182647066266,
0.05701815205645913,
-0.05299085269519477,
0.0924171370297011,
2.8889981301055943,
-0.24767705590774858,
3.2637002917143807,
0.06598201778939591,
0.0961968789558263,
-0.15922885735698689,
... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -72.5,
"target_ratio": 0.97,
"target_value": -70.325
} | 8 |
b57566636c8c903cd017e24d5399ff77 | 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": [334, 333], "expectation_value": -70.08648738489575, "params": [[[0.883, 0.0076], [0.040600000000000004, 0.0021000000000000003], [0.9297000000000001, 0.15460000000000002], [0.30860000000000004, 0.1807], [-0.1413, 0.2541], [0.0082, 0.7080000000000001], [0.0078000000000000005, 0.18080000000000002], [0.2209, 1.... | 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(7) @ Z(8)) + 7.0 * (Z(6) @ Z(0)) + 7.0 * (Z(6) @ Z(8)) + 7.0 * (Z(6) @ Z(7)) + 2.5 * Z(1) + 14.5 * Z(2) + 16.0 * Z(0) + -3.0 * Z(4) + 1.5 * Z(5) + 12.5 * Z(8) + 2.0 * Z(7) + 12.5 * Z(6) + -11.5 * Z(3) | 15 | 9 | 4 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.0, "smallest_bitstrings": ["010110010"], "largest_eigenvalue": 136.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.9303432653248656) q[0];
ry(-0.057514846094844724) q[1];
ry(0.9309820035492797) q[2];
ry(0.2896007995030153) q[3];
ry(-0.30344543921148937) q[4];
ry(-0.16469444140688072) q[5];
ry(-0.011608703292515227) q[6];
ry(0.005484670134360221) q[7];
ry(-0.0902946295714449) 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, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIZZIIII",
"ZIIIIIZII",
"ZZIIIIIII",
"IIZIIIIIZ",
"ZIZIIIIII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIZIIIIII",
"IIIIIZIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
2.5,
14.5,
16,
-3,
1.5,
12.5,
2,
12.5,
-11.5
] | 0.971991 | [
0.9303432653248656,
-0.057514846094844724,
0.9309820035492797,
0.2896007995030153,
-0.30344543921148937,
-0.16469444140688072,
-0.011608703292515227,
0.005484670134360221,
-0.0902946295714449,
0.14155473150219094,
0.1415232503104015,
0.06446880268267213,
0.049372803121945905,
0.20532929829... | {
"n_parameters": 71,
"n_qubits": 9,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 57 |
e26a7b0ced2794f5e9fb233975a2bd69 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 4... | {"states": [61437, 61438], "expectation_value": -20.535906456489748, "params": null, "bitstrings": ["0001000000000010", "0001000000000001"], "total_optimization_steps": 100, "probabilities": [0.07492382283023111, 0.5484021995089193], "optimization_time": 1433.928181886673} | 0.5 * (Z(4) @ Z(13)) + 1.0 * (Z(14) @ Z(13)) + 0.5 * (Z(14) @ Z(4)) + 0.5 * (Z(5) @ Z(13)) + 1.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(14)) + -0.5 * (Z(6) @ Z(13)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(14)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(13)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(14)) + 0.5 * (Z(7) @ Z(5)) ... | 1 | 16 | 1 | {"smallest_eigenvalues": [-20.999999999999908], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.999999999999595, "smallest_bitstrings": ["0001000000000001"], "largest_eigenvalue": 56.25000000000029} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(-0.532218750852081) q[0];
rz(-0.23670284243252127) q[0];
rx(0.3741699073439885) q[1];
rz(0.4934594354813604) q[1];
cx q[1], q[0];
rz(0.3829938625086575) q[0];
cx q[1], q[0];
rz(-1.4402511638052853) q[0];
ry(0.6108400779045863) q[0];
rz(1.9626296906473204) q[0];
rx(-... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\nry(0.4397) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3... | [
"IIZIIIIIIIIZIIII",
"IZZIIIIIIIIIIIII",
"IZIIIIIIIIIZIIII",
"IIZIIIIIIIZIIIII",
"IIIIIIIIIIZZIIII",
"IZIIIIIIIIZIIIII",
"IIZIIIIIIZIIIIII",
"IIIIIIIIIZIZIIII",
"IZIIIIIIIZIIIIII",
"IIIIIIIIIZZIIIII",
"IIZIIIIIZIIIIIII",
"IIIIIIIIZIIZIIII",
"IZIIIIIIZIIIIIII",
"IIIIIIIIZIZIIIII",
"IIIIIII... | [
0.5,
1,
0.5,
0.5,
1,
0.5,
-0.5,
0.5,
-0.5,
0.5,
-0.5,
0.5,
-0.5,
0.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
0.375,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
1,
-0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
... | 0.978104 | [
-0.5322187508520813,
0.1462910200761373,
0.3741699073439885,
0.4934594354813604,
0.6289236533584328,
-0.00968127929361059,
0.3470593711482598,
-0.01955911238111324,
0.3304506711477374,
0.07680225456727892,
0.4245100485287902,
-0.04433256622829804,
0.47901742355234317,
0.13127803375049976,
... | {
"n_parameters": 204,
"n_qubits": 16,
"optimal_eigenvalue": -20.99999999999988,
"target_ratio": 0.97,
"target_value": -20.369999999999884
} | 1 |
a20be77afa1a8b9b75f27972fb6e9517 | 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": 3}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, ... | {"states": [73, 75], "expectation_value": -10.134322015216972, "params": [[-0.0884, -0.053500000000000006, -0.1071], [0.20350000000000001, 0.17170000000000002, 0.17700000000000002]], "bitstrings": ["10110110", "10110100"], "total_optimization_steps": 30, "probabilities": [0.0500697259743259, 0.051477575421919046], "opt... | -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... | 1 | 8 | 3 | {"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 |
43783f0d102db45430e0e9cc0abd5421 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 1, "s... | {"states": [1, 5], "expectation_value": -13.749999999754339, "params": null, "bitstrings": ["111111110", "111111010"], "total_optimization_steps": 28, "probabilities": [0.499999999985678, 0.499999999985678], "optimization_time": 34.60693693161011} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.75 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(3)) + -1.25 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(6) @ Z(3)) + 2.25 * (Z(8)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-13.75, -13.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.75, "smallest_bitstrings": ["111111110", "111111010"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.01638956768340378) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.01638956768340378) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.009183088842077993) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[7];
rz(0.009... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIIZII",
"IIIIIZIZI",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"IIIIZIZII",
"IIIIZZIII",
"IIZIIZIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IZIIIIIII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
-0.25,
-0.25,
-0.75,
-0.75,
-1,
-0.75,
-0.5,
-0.25,
-0.5,
-0.25,
-1.25,
-1,
-0.25,
2.25,
-0.25,
0,
-0.25,
0.5,
-1,
-1,
0,
-0.25,
0,
2
] | 0.920668 | [
-0.01638956768340378,
0.009183088842077993,
-1.3795631206568821,
-0.00832950686798114,
-0.0024951873495025227,
0.00006676734680895714,
-0.8270233776435318,
-0.2649680470264135,
0.23459580270785552,
-1.490733499004103,
-0.10223196334459035,
-0.028685010435969098,
-1.5457011817943502,
-0.035... | {
"n_parameters": 19,
"n_qubits": 9,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 500 |
b8a03b8495dcd7f07ac8a7cab15c656b | 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": [462, 206], "expectation_value": -68.21978331087064, "params": [0.48800000000000004, -0.16720000000000002, 0.8991, 0.0146, 0.8989, -0.0557, 0.4741, -0.12760000000000002, -0.0006000000000000001, 0.6341, 0.898, 0.002, 0.9052, 0.0008, 0.9002, 0.15610000000000002, 0.2721, 0.33240000000000003, 0.4872, -0.193, 0.8... | 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(3) @ Z(1)) + 6.0 * (Z(5) @ Z(2)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(6) @ Z(0)) + 6.0 * (Z(8) @ Z(6)) + 6.0 * (Z(7) @ Z(1)) + 6.0 * (Z(7) @ Z(3)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(7) @ Z(8)) + 9.0 * Z(0) + 14.5 * Z(2) + 20.5 * Z(1) + 5.0 * Z(3) + 7.... | 18 | 9 | 3 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["100110001"], "largest_eigenvalue": 161.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.09384353499831646) q[0];
rz(-0.45329105836325834) q[0];
rx(0.9943542161520249) q[1];
rz(0.30167405991307816) q[1];
rx(0.7296022909483472) q[2];
rz(-0.1130990368679769) q[2];
rx(0.6324623618376668) q[3];
rz(-0.2031874286607038) q[3];
rx(-0.07667728939546098) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIIIIZ",
"ZIZIIIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
9,
14.5,
20.5,
5,
7.5,
-3.5,
16,
1.5,
18.5
] | 0.970338 | [
0.09384353499831646,
-0.23103940801782344,
0.9943542161520249,
0.30167405991307816,
0.7296022909483472,
-0.1130990368679769,
0.6324623618376668,
-0.2031874286607038,
-0.07667728939546098,
0.7030369601389084,
0.9668095428526267,
-0.048135169376325615,
0.9613623519588479,
0.00821854259370658... | {
"n_parameters": 77,
"n_qubits": 9,
"optimal_eigenvalue": -89,
"target_ratio": 0.97,
"target_value": -86.33
} | 12 |
4700601e722e5f0a0c40acc2968ffc97 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [5, 10], "expectation_value": -0.09379123492906875, "params": [[0.0383, -0.0477, 0.054], [-0.055900000000000005, 0.0463, -0.027800000000000002]], "bitstrings": ["11010", "10101"], "total_optimization_steps": 10, "probabilities": [0.03294346823022445, 0.03343175470914786], "optimization_time": 2.6868324279785... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["10011", "11010", "01011", "10101"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.6706529503752435) q[0];
h q[1];
ry(1.4146339409758935) q[1];
h q[2];
ry(-0.5581047246583587) q[2];
h q[3];
cx q[3], q[0];
ry(0.6706529503752435) q[0];
cx q[3], q[0];
ry(-0.44205081723318096) q[0];
ry(0.9054299760275487) q[3];
rz(-pi) q[4];
ry(-0.0725877717... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] ... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"ZZIII",
"IZZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1,
-1,
0
] | 0.991225 | [
-1.6704548362417395,
-1.341305900750487,
1.4146339409758935,
0.973194262912994,
-1.1162094493167174,
0.6844911620078096,
-0.48532124205514987,
0.5740763702252564,
0.27498873776268346,
-0.23622283509959657,
0.44187762803947833,
-0.4116559642671688,
0.5069271119789323,
-0.18155338475627356,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
-6241626391502729145 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 5, 7], [0, 7], [8, 2, 7], [2, 4], [0, 6], [2, 5, 7], [1, 5], [8, 0, 3], [1, 4, 6], [0, 8, 4], [8, 1, 3], [3, 4, 5], [6, 7], [1, 7], [2, 3, 5]]} | {"states": [189, 63], "expectation_value": -3.8957790732967177, "params": null, "bitstrings": ["101000010", "111000000"], "total_optimization_steps": 63, "probabilities": [0.0728847203672879, 0.7717768715118991], "optimization_time": 113.33172750473022} | 0.16666666666666666 * (Z(8) @ Z(5)) + 0.3333333333333333 * (Z(7) @ Z(5)) + 0.3333333333333333 * (Z(7) @ Z(8)) + 0.3333333333333333 * (Z(0) @ Z(8)) + 0.5 * (Z(0) @ Z(7)) + 0.3333333333333333 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.3333333333333333 * (Z(2) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(5)) +... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.9999999999999996, "smallest_bitstrings": ["111000000"], "largest_eigenvalue": 12.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.2503638019104292) q[0];
h q[1];
ry(-0.24759453614274296) q[1];
h q[2];
ry(-0.16556856842586765) q[2];
h q[3];
ry(0.5153321731043011) q[3];
h q[4];
cx q[4], q[2];
ry(0.16556856842586765) q[2];
cx q[4], q[2];
ry(-0.47263022585862136) q[2];
ry(1.1351285614668... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5592) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"ZIIZIIIII",
"IZIZIIIII",
"ZZIIIIIII",
"ZIIIIIIIZ",
"IZIIIIIIZ",
"IIIZIIZII",
"ZIIIIIZII",
"IZIIIIZII",
"IIIZZIIII",
"ZIIIZIIII",
"IIIIZIIIZ",
"IIIIZIZII",
"IZZIIIIII",
"IIZIIIIIZ",
"IIZIZIIII",
"IIIZIIIZI",
"ZIIIIIIZI",
"IZIIIIIZI",
"IIIIZIIZI",
"IIZIIIIZI",
"IIIZIZIII",
"... | [
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.5,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.1... | 0.974066 | [
1.7638566762188672,
1.4422460035649636,
-0.4951890722854859,
-0.5007276038208583,
1.3908700260384752,
-0.27573767652841985,
-0.3311371368517353,
0.9844050490939906,
-0.9452604517172427,
0.8805068080463848,
-0.7776795511984502,
0.3014470247457264,
-0.3415838228001755,
0.6875459024714027,
... | {
"n_parameters": 39,
"n_qubits": 9,
"optimal_eigenvalue": -4.333333333333333,
"target_ratio": 0.97,
"target_value": -4.203333333333333
} | 25 |
221461c1c54d63842e2fe9ed231c7c5e | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5},... | {"states": [0, 1999], "expectation_value": -9.159622534419984, "params": [0.34940000000000004, 1.0504, -0.5830000000000001, 1.2666000000000002, -0.43660000000000004, 1.5136, 0.2652, 1.2257, -0.5336000000000001, -0.1578, -0.6436000000000001, 1.5001, -0.6329, 1.4809, 0.6757000000000001, -0.258, -0.6539, 1.059100000000000... | -1.5 * (Z(0) @ Z(4)) + -1.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(10) @ Z(8)) + -1.5 * (Z(10) @ Z(9)) + -1.0 * (Z(2) @ Z(3)) + 0.5 * Z(4) + 0.5 * Z(0) + 0.5 * Z(1) + -1.0 * Z(6) + -1.0 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) ... | 6 | 11 | 2 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["00000110000"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.6163507765301678) q[0];
rz(2.3359249390139283) q[0];
rx(-1.366626019813829) q[1];
rz(-2.5429936391351706) q[1];
rx(-1.403527145901788) q[2];
rz(0.5972593788322769) q[2];
rx(-1.9005796101844483) q[3];
rz(-2.8078042534769354) q[3];
rx(-2.3063165075667085) q[4];
rz(2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIIIZIIZI",
"IIIIIIIIIZZ",
"IIIIZZIIIII",
"IIZZIIIIIII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIZZII",
"IIIIIIZIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIZIIIIIII",
"IZIIIIIIIII",
"ZIIIIIIII... | [
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
-1,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.913828 | [
0.6163507765301678,
0.7651286122190323,
-1.3666260198138287,
2.169395341249519,
-1.4035271459017877,
-0.9735369479626206,
-1.9005796101844483,
1.9045847269077547,
-2.3063165075667085,
1.147392321400196,
-0.05039595500663292,
1.8400424384164633,
-0.04158504840485723,
0.2782987980234394,
-... | {
"n_parameters": 110,
"n_qubits": 11,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 500 |
e087bb7a2ab5b6cd6822b49db98164ad | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4... | {"states": [3, 63], "expectation_value": -0.7567181269055967, "params": [[-0.0629, -0.0674], [0.0601, 0.0644]], "bitstrings": ["1111100", "1000000"], "total_optimization_steps": 10, "probabilities": [0.01160294058787009, 0.011768044346794373], "optimization_time": 2.667753219604492} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + 1.25 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + 1.0 * Z(4) + -0.25 * Z(0) + 0.5 * Z(5) + 0.5 * Z(1) + -2.0 * Z(2) + 0.25 * Z(3) + 0.... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -4.25, "smallest_bitstrings": ["1010000", "1000000", "1110100", "1011000", "1111100"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.684079612108113) q[0];
h q[1];
h q[2];
ry(-1.6130910725056342) q[2];
h q[3];
h q[4];
ry(0.8705312656325608) q[4];
cx q[1], q[4];
ry(-0.8705312656325608) q[4];
cx q[1], q[4];
ry(0.5638362462260424) q[1];
cx q[4], q[1];
ry(-0.5638362462260424) q[1];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IZIIIIZ",
"IIZIIZI",
"IIZIZII",
"IZIIZII",
"IIIIZZI",
"IIIZZII",
"ZIZIIII",
"ZIIIIIZ",
"ZZIIIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"ZIIIIII"
] | [
-0.5,
-0.5,
-1.25,
-0.75,
-0.25,
-0.75,
-0.25,
-0.5,
1.25,
-0.75,
1,
-0.25,
0.5,
0.5,
-2,
0.25,
0
] | 0.971879 | [
-1.6130910725056342,
1.7410625312651216,
1.127672492452085,
-1.368159224216226,
1.3090628769470818,
-0.18059820948263738,
1.4980182789583685,
0.09301418289946432,
-0.5987902664515456,
0.00709990805003651,
0.28724048981292466,
0.025051227171103974,
-0.11161857880706907,
-0.10313587200409623... | {
"n_parameters": 25,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 9 |
2353079fa286d356ce3844ef645b5899 | 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": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 1, "source": 2, ... | {"states": [0, 1], "expectation_value": -6.270867374078333, "params": [[[0.0033, 0.0006000000000000001], [0.0025, 0.0098], [0.0024000000000000002, 0.0034000000000000002], [-0.0027, 0.0023], [-0.0027, 0.0094], [0.0027, 0.0063], [0.0025, 0.0029000000000000002], [1.6126, 0.006200000000000001]]], "bitstrings": ["11111111",... | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(2)) + 0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-6.75, -6.75, -6.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.75, "smallest_bitstrings": ["10000000", "11111110", "10001000"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-0.014476605054925226) q[0];
ry(-0.08302690308798039) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5021299714943626) q[2];
ry(-0.20507589807993404) q[3];
rz(-pi) q[3];
ry(-0.0064225517544533916) q[4];
rz(-pi) q[4];
ry(-0.007758952866561823) q[5];
rz(-pi) q[5];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIIIIZZI",
"ZIIIIIIZ",
"ZIIIIIZI",
"IZIZIIII",
"IZIIIZII",
"IZIIIIZI",
"ZZIIIIII",
"IIIZZIII",
"IIIIZZII",
"IIIIZIZI",
"IZIIZIII",
"IIZZIIII",
"IIZIIZII",
"IZZIIIII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"ZIIIIIII",
"IZIIIIII",
"IIIIZIII",
"IIZIIII... | [
-0.5,
-0.5,
0.75,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
-0.5,
-0.5,
-1,
-0.25,
-1.5,
-0.25,
0.25,
0.5,
1,
1.25
] | 0.996058 | [
-1.5021299714943626,
-1.527893052920365,
-1.541794211553103,
1.640141240938177,
-1.440851768577839,
-1.2949408354430672,
-1.5107160653792404,
-0.09383531025815497,
-0.1415591865437907,
-0.24437121070099205,
-0.08695744059343821,
-0.07296144424015699,
-0.059381324036815154
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 1 |
047a6db213ec2347412434e39dcab446 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "so... | {"states": [188, 184], "expectation_value": -7.316684379412682, "params": [0.0037, 0.5671, 0.0011, 0.6011000000000001, 0.30010000000000003, 0.3158, 0.6345000000000001, 0.2667, 0.3846, 0.23850000000000002, 0.8008000000000001, 0.038200000000000005, 0.8009000000000001, -0.0034000000000000002, 0.7996000000000001, 0.4279, 0... | -0.5 * (Z(9) @ Z(2)) + -0.5 * (Z(10) @ Z(2)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @ Z(10)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(9)) + -1.0 * (Z(4) @ Z(10)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(10)) + 0.5 * (Z(5) @ Z(3)) +... | 18 | 11 | 3 | {"smallest_eigenvalues": [-9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332], "number_of_sm... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(-0.7895976344915955) q[0];
h q[1];
ry(-0.7810861968429474) q[1];
h q[2];
h q[3];
ry(1.6087583371568581) q[3];
h q[4];
ry(1.6087583371568581) q[4];
cx q[4], q[1];
ry(0.7810861968429474) q[1];
cx q[4], q[1];
cx q[4], q[0];
ry(0.7895976344915955) q[0];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IZIIIIIIZII",
"ZIIIIIIIZII",
"ZZIIIIIIIII",
"IIIIIIIZZII",
"IZIIIIIZIII",
"ZIIIIIIZIII",
"IIIIIIZIZII",
"IZIIIIZIIII",
"ZIIIIIZIIII",
"IIIIIIZZIII",
"IIIIIZIIZII",
"IZIIIZIIIII",
"ZIIIIZIIIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIZIIIZII",
"IZIIZIIIIII",
"ZIIIZIIIIII",
"IIIIZIIZI... | [
-0.5,
-0.5,
1,
0.5,
-1,
-1,
0.5,
-1,
-1,
1,
0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
1,
-0.3333333333333333,
1,
-2.5,
-2.5,
2.5,
2.5,
1.5,
1.5,
1.5,
1.5,
-1,
... | 0.97411 | [
1.6087583371568581,
-1.5621723936858949,
-1.579195268983191,
-1.7000663403512135,
1.0380739879293168,
0.7350162679663793,
1.5754527001879863,
-0.7775594481828644,
-1.3800772367519494,
0.28813208000335316,
-0.7211051201233013,
1.3146153603862532,
-0.355182142317478,
-0.2241765857557586,
0... | {
"n_parameters": 54,
"n_qubits": 11,
"optimal_eigenvalue": -9.333333333333332,
"target_ratio": 0.97,
"target_value": -9.053333333333333
} | 5 |
7730974744453940568 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[4, 5], [4, 7], [0, 8, 3, 7], [8, 4], [0, 1, 4, 6], [1, 2, 5, 6, 7], [8, 9, 5], [3, 4, 6], [0, 2, 5, 7, 8], [0, 1, 9, 6], [8, 1, 9], [1, 2, 3, 4, 9], [0, 9, 2, 6], [0, 1, 2]]} | {"states": [479, 478], "expectation_value": -3.064069761742232, "params": [0.6448, 0.6691, 1.5816000000000001, 1.5788, 1.1695, 1.102, 1.5688, 1.5834000000000001, 0.1637, 0.1253, 1.5853000000000002, 1.5785, 1.5325, 1.5621, 1.5785, 1.4457, 1.2426000000000001, 1.59, 0.8484, 0.7246, 0.5840000000000001, 1.0503, 0.2594, 0.46... | 0.5 * (Z(4) @ Z(5)) + 0.1 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.05 * (Z(0) @ Z(5)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.13333333333333333 * (Z(0) @ Z(7)) + 0.21666666666666667 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + 0.13333333333333333 * (Z(8) @ Z(7)) + 0.13333333333333333 * (Z(8) @ Z(0)) + 0.21666666666666667... | 14 | 10 | 1 | {"smallest_eigenvalues": [-3.9833333333333343], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.9000000000000012, "smallest_bitstrings": ["1000100001"], "largest_eigenvalue": 12.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.38217001752019075) q[0];
rz(pi/2) q[0];
ry(1.3736954428505024) q[1];
ry(1.8969238950142253) q[2];
ry(1.3615838606646342) q[3];
ry(0.07236345601916958) q[4];
ry(1.4484923175771578) q[5];
ry(1.6216762916829397) q[6];
ry(1.8007649728316757) q[7];
ry(1.427210664727644... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IIIIZZIIII",
"IIZIZIIIII",
"IIZIIZIIII",
"IIIIZIIIIZ",
"IIIIIZIIIZ",
"IIZIIIIIIZ",
"IZIIZIIIII",
"IZIIIZIIII",
"IZZIIIIIII",
"IZIIIIIIIZ",
"IIIIIZZIII",
"IIZIIIZIII",
"IIIIIIZIIZ",
"IZIIIIZIII",
"IIIIZIIIZI",
"IIIIIZIIZI",
"IIZIIIIIZI",
"IIIIIIIIZZ",
"IZIIIIIIZI",
"IIIIIIZIZI"... | [
0.5,
0.1,
0.5,
0.05,
0.08333333333333333,
0.13333333333333333,
0.21666666666666667,
0.5,
0.13333333333333333,
0.13333333333333333,
0.21666666666666667,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.05,
0.13333333333333333,
0.05,
0.3333333333333333,
0.1666666666... | 0.971663 | [
0.38217001752019075,
1.3736954428505024,
1.8969238950142253,
1.3615838606646342,
0.07236345601916958,
1.4484923175771578,
1.6216762916829397,
1.8007649728316757,
1.4272106647276444,
0.3469451361533366,
0.3797623473631648,
0.682546463093114,
0.39480996491195425,
0.3324058750976268,
0.0390... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -3.9833333333333343,
"target_ratio": 0.97,
"target_value": -3.8638333333333343
} | 28 |
cf63e2458a0741acd2ef8c128602eb3a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [70, 25], "expectation_value": -0.5510342605657093, "params": [[0.0438, 0.031, 0.030600000000000002, -0.054200000000000005], [-0.0473, -0.033800000000000004, -0.040600000000000004, -0.0051]], "bitstrings": ["0111001", "1100110"], "total_optimization_steps": 10, "probabilities": [0.01008089563277776, 0.010362... | 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(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -2.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.0 * Z(3) + -1.5 * Z(4) + -0.5 * Z... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1110100", "1100110", "0111100", "0111001"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.3269969770889281) q[0];
rz(-0.5504036056506698) q[0];
rx(0.35954196878096667) q[1];
rz(-0.012404751640308812) q[1];
cx q[1], q[0];
rz(0.228453187285069) q[0];
cx q[1], q[0];
rz(1.5964531905415136) q[0];
ry(0.9908209005626359) q[0];
rz(-1.7445090548379003) q[0];
rx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIZII",
"IIZZIII",
"ZIIIIZI",
"ZIZIIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
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,
-1.5,
-0.5,
0
] | 0.972321 | [
0.3269969770889281,
-0.3219504183656007,
0.35954196878096667,
-0.012404751640308812,
0.23307960273110617,
-0.08636312566796234,
0.42336248146771394,
0.3708386300171518,
0.1622252850494044,
-0.21764395063298858,
0.219072816073935,
0.017256355300506152,
0.01842232375394045,
0.122346478424125... | {
"n_parameters": 187,
"n_qubits": 11,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 33 |
9a44f437194a4879d426f5b6a5686299 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [70, 7], "expectation_value": -8.526653545558002, "params": [[0.0664, -0.019200000000000002], [-0.07440000000000001, -0.028]], "bitstrings": ["10111001", "11111000"], "total_optimization_steps": 10, "probabilities": [0.007652015806934089, 0.008100192888702134], "optimization_time": 5.731789827346802} | 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.... | 4 | 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]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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... | {"k": 5} | {"circuits": [], "gradients": []} | [
"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 |
5c8d577142051cc6578aa40532e6b2ab | 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": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 1, "s... | {"states": [161, 163], "expectation_value": -8.579928731899084, "params": [-0.006500000000000001, 0.002, -0.006, -0.0341, 0.2543, 0.0275, 0.265, 0.0697, -0.0035, -0.08600000000000001, 0.0105, -0.2461, 0.2267, 0.0592, 0.24780000000000002, 0.08710000000000001, -0.0035, -0.018000000000000002, -0.0015, -0.1409, -0.005, 0.1... | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(1) @ Z(7)) + 1.25 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(7)) + -0.25 * (Z(8) @ Z(1)) + -1.5 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(8)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) ... | 5 | 9 | 4 | {"smallest_eigenvalues": [-8.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.75, "smallest_bitstrings": ["101011100"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.022477326203741932) q[0];
rz(1.1361113631498974) q[0];
rx(1.5839875237065586) q[1];
rz(1.6423285526922164) q[1];
rx(-0.02247732620374193) q[2];
rz(2.9622352226993875) q[2];
rx(1.1173586352177383) q[3];
rz(1.7703358054199603) q[3];
rx(-0.03532431068703414) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IIIZIIIIZ",
"IZIIIIIZI",
"ZIIIIIIIZ",
"ZZIIIIIII",
"ZIIIIIIZI",
"IIIIZIZII",
"IIIZIIZII",
"IZIIIIZII",
"IIIIZZIII",
"ZIIIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"ZIZIIIIII",
"IIZIIIZII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IZIIIIIII",
"IIIIIIIZI",
"ZIIIIIIII",
"... | [
-0.5,
-0.5,
-0.25,
1.25,
-0.75,
-0.25,
-1.5,
-0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-0.75,
-0.25,
-0.5,
-1.75,
-0.25,
1,
0,
0.5,
-0.25,
-0.75,
0.75,
0.75
] | 0.970498 | [
-0.022477326203741932,
-0.4346849636449984,
1.5839875237065588,
0.07153222589731986,
1.3914388959044899,
1.1173586352177385,
0.19953947862506388,
-0.03532431068703415,
1.3782077952930516,
-0.15436978163939935,
1.6625285670732382,
0.06203047059893663,
1.6017451533353833,
0.04568878772561308... | {
"n_parameters": 46,
"n_qubits": 9,
"optimal_eigenvalue": -8.75,
"target_ratio": 0.97,
"target_value": -8.487499999999999
} | 11 |
a774c4ab0edc178e1791a78b6ab00336 | 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": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [120, 122], "expectation_value": -4.043589165825363, "params": [-0.0064, 0.1521, -0.0071, 0.15080000000000002, 0.2999, 0.049800000000000004, 0.3034, 0.0142, 0.308, -0.0005, 0.29910000000000003, 0.0026000000000000003, 0.3095, 0.001, 0.3022, -0.0023, 0.30060000000000003, -0.0013000000000000002, 0.3009, 0.0007,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + -0.5 * Z(1) + -1.5 * Z(0) + -0.5 * Z(3) + -1.5 * Z(5) + -1.0 * Z(6) + -1.0 * Z(7) + 0.0 * Z(2) + 0.0... | 7 | 8 | 3 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.11182989249818681) q[0];
rz(0.05212553363362593) q[0];
rx(0.5652365007369995) q[1];
rz(-0.06012862323491682) q[1];
cx q[1], q[0];
rz(0.07013529384958622) q[0];
cx q[1], q[0];
rz(-1.4461958667835413) q[0];
ry(0.2844939277097098) q[0];
rz(2.085397452828877) q[0];
rx(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIZIII",
"IZIIIIIZ",
"IZZIIIII",
"ZIIIIIZI",
"ZZIIIIII",
"IIZIIZII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-0.5,
-1.5,
-1,
-1,
0,
0
] | 0.98463 | [
0.11182989249818681,
0.12226082748321224,
0.5652365007369995,
-0.06012862323491682,
0.47239369684408866,
-0.053242009455141744,
0.24237333134770606,
0.010615773507949011,
0.6736177296238658,
-0.1187248400458244,
0.06474278627931274,
0.2551157025399743,
0.35785727988353333,
-0.0785943636164... | {
"n_parameters": 110,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 11 |
4593286d131e643309f088c8c3f9f810 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [3, 11], "expectation_value": -5.037169983752784, "params": [0.1283, 0.124, -0.0036000000000000003, -0.009000000000000001, -0.0048000000000000004, -0.0106, 0.1105, 0.06380000000000001, 0.3079, 0.2904, 0.3977, 0.3975, 0.1263, 0.07440000000000001, 0.39990000000000003, 0.399, 0.4061, 0.4068, 0.12430000000000001... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ 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(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) ... | 14 | 9 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -5.5, "smallest_bitstrings": ["111100101", "111010110", "111111000", "111110100", "001111011", "011101101", "011111001", "100110111", "111000111", "011001111", "1101... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.18052507590516292) q[0];
rz(1.871429810690464) q[0];
rx(0.06487626084138967) q[1];
rz(1.9439048232108957) q[1];
rx(0.043570692760350895) q[2];
rz(1.3842191612184847) q[2];
rx(-0.20079383337432777) q[3];
rz(2.415906628952351) q[3];
rx(-0.1722854392715986) q[4];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIZIIIIZ",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZIZII",
"ZIIIZIIII",
"IIIIZIIZI",
"IZIIIIZII",
"IZIIIIIZI",
"IZIIIZIII",
"IIZIIIZII",
"IIZZIIIII",
"IIZIIZIII",
"IIZIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-0.5,
-1,
-1.5,
-1.5,
-1.5,
-1,
-1.5
] | 0.970704 | [
0.18052507590516295,
0.3006334838955679,
0.06487626084138969,
0.3731084964159991,
0.04357069276035091,
-0.18657716557641196,
-0.20079383337432774,
0.8451103021574549,
-0.17228543927159856,
0.3096019216491958,
0.9523968206535531,
-0.2470495557574001,
1.7820499397696128,
-0.19525354574339157... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 26 |
73162755fd3fb63ec250bb0297031b85 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [7, 13], "expectation_value": -0.3399009155129303, "params": [[-0.037700000000000004, 0.041, 0.0641, 0.0674], [0.0718, 0.0109, -0.0437, -0.0485]], "bitstrings": ["111000", "110010"], "total_optimization_steps": 10, "probabilities": [0.019651175513280432, 0.019651175513280442], "optimization_time": 5.96711039... | 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(4)) + 0.5 * (Z(3) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + 0.0 * Z(5) + -1.0 * Z(1) + 0.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["110010", "111000"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.22579406431789806) q[0];
h q[1];
ry(-0.22579406431789806) q[1];
h q[2];
ry(-1.3560969488988168) q[2];
h q[3];
cx q[3], q[1];
ry(0.22579406431789806) q[1];
cx q[3], q[1];
ry(-0.8255410643066695) q[1];
ry(1.359318218961168) q[3];
ry(-1.0688172905350661) 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] 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": []} | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"ZIIIIZ",
"IIIZZI",
"IZIIZI",
"IIZIZI",
"IIIZII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
0,
-1,
0
] | 0.972602 | [
-1.3560969488988168,
-0.9253424096927959,
-0.4515881286357961,
1.060970966441094,
-0.6027635840281764,
0.5966945050401478,
0.4264757054800475,
-0.4240802228934878,
-0.4455549605569864,
0.8467267468659311,
1.759953496058666,
-0.2334806334765544,
-0.13577340237349522,
0.06205456582507352,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 11 |
20b257e7ab3ea05503daa46ec3868b05 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [17, 3], "expectation_value": -8.398263534265318, "params": [[-0.054, -0.0346, -0.0167], [0.0723, 0.0665, 0.0597]], "bitstrings": ["101110", "111100"], "total_optimization_steps": 10, "probabilities": [0.03866060379517174, 0.040417290520112614], "optimization_time": 6.581707000732422} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.25 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.25 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.25 * (Z(5) @ Z(3)) + 2.5... | 11 | 6 | 3 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.5548614983032758) q[0];
h q[1];
ry(-0.4336582153180486) q[1];
h q[2];
ry(-1.5596846869202525) q[2];
h q[3];
ry(1.5548614983032758) q[3];
ry(-0.026435782347820826) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[1];
ry(0.4336582153180486) q[1];
cx q[5], q[1];
ry(-0.7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
2.5,
-5.75,
-6,
-5.75,
-6.25,
-5.5,
-5.25
] | 0.998061 | [
-1.5596846869202525,
-1.4823995321635313,
1.5548614983032758,
-0.8673164306360972,
0.7054725837623831,
-0.4872816670639519,
0.6442048738368666,
-0.5016801554814053,
0.16957923580848894,
-0.12340870985442795,
0.17931583905653592,
-0.021905959185723592,
-0.12392202456708895,
0.03449940289991... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
1924762582236152734 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[9, 6], [0, 5, 7], [2, 10], [1, 5], [3, 5], [4, 7], [8, 12], [11, 7]]} | {"states": [4325, 229], "expectation_value": -3.189535248001972, "params": [0.7609, 0.7525000000000001, 0.1948, 0.19160000000000002, 0.18680000000000002, 0.1836, 0.1849, 0.1824, 0.185, 0.1842, 1.4022000000000001, 1.3988, 1.364, 1.358, 1.3975, 1.3965, 0.2295, 0.2214, 0.20850000000000002, 0.21250000000000002, 1.3903, 1.3... | 0.5 * (Z(9) @ Z(6)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(10)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(8) @ Z(12)) + 0.5 * (Z(11) @ Z(7)) + 0.0 * Z(6) + 0.0 * Z(9) + 0.16666666666666674 * Z... | 13 | 13 | 1 | {"smallest_eigenvalues": [-3.833333333333333, -3.833333333333333, -3.833333333333333, -3.833333333333333, -3.833333333333333, -3.833333333333333, -3.833333333333333, -3.833333333333333, -3.833333333333333, -3.833333333333333, -3.833333333333333, -3.833333333333333, -3.833333333333333, -3.833333333333333, -3.83333333333... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.578351055278355) q[0];
rz(0.06524390764709731) q[0];
ry(-0.11467075612503073) q[1];
ry(0.020648318975127526) q[2];
ry(-0.19591029156013723) q[3];
ry(0.2513234147132448) q[4];
ry(1.487831384333926) q[5];
ry(1.5564856596851824) q[6];
ry(1.5650244767147297) 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": []} | [
"IIIZIIZIIIIII",
"IIIIIIIZIIIIZ",
"IIIIIZIZIIIII",
"IIIIIZIIIIIIZ",
"IIZIIIIIIIZII",
"IIIIIIIZIIIZI",
"IIIIIIIZIZIII",
"IIIIIZIIZIIII",
"ZIIIZIIIIIIII",
"IZIIIZIIIIIII",
"IIIIIIZIIIIII",
"IIIZIIIIIIIII",
"IIIIIIIZIIIII",
"IIIIIIIIIIIIZ",
"IIIIIZIIIIIII",
"IIZIIIIIIIIII",
"IIIIIIIIIIZ... | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0.16666666666666674,
0.16666666666666666,
0.16666666666666674,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.972038 | [
0.578351055278355,
-0.11467075612503073,
0.020648318975127526,
-0.19591029156013723,
0.2513234147132448,
1.487831384333926,
1.5564856596851824,
1.5650244767147297,
0.006523025800083786,
-0.3777197677575558,
1.6532316449345863,
-0.026656375622448443,
1.4584771468179973,
0.13048781529419462,... | {
"n_parameters": 51,
"n_qubits": 13,
"optimal_eigenvalue": -3.833333333333333,
"target_ratio": 0.97,
"target_value": -3.718333333333333
} | 11 |
1e2e363d3026b2b0adfe60243d0e67d7 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [2897, 2641], "expectation_value": -74.85486200642728, "params": [0.7026, -0.0012000000000000001, 0.23220000000000002, 0.31020000000000003, 0.7036, -0.0179, 0.48210000000000003, -0.0704, 0.3463, -0.0022, 0.6961, -0.001, 0.5205000000000001, 0.1247, 0.6995, -0.0112, 0.28500000000000003, 0.29500000000000004, 0.... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(2) @ Z(3)) + 8.0 * (Z(5) @ Z(3)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(7) @ Z(0)) + 8.0 * (Z(6) @ Z(7)) + 8.0 * (Z(8) @ Z(2)) + 8.0 * (Z(9) @ Z(0)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(11) @ Z(6)) + -5.0 * Z(1) + 14.0 * Z(0) + 3.0 * Z(3) + 10.0 * Z(2) + 7.0 * Z(5) + -5.5 * Z(4) + 15.0 * Z(7) + 0.5... | 4 | 12 | 3 | {"smallest_eigenvalues": [-135.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -118.0, "smallest_bitstrings": ["010110101110"], "largest_eigenvalue": 128.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(1.474172886235424) q[0];
rz(0.42215130222833297) q[0];
rx(0.2813138287897202) q[1];
rz(0.5501467199981654) q[1];
cx q[1], q[0];
rz(-0.36822906922787263) q[0];
cx q[1], q[0];
rx(1.861735780736936) q[0];
rz(0.4324726385805575) q[0];
rz(0.22413283812889637) q[1];
rx(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZZII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIZIIIIIIZ",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIZIIIIIIIIZ",
"IIZIZIIIIIII",
"ZIIIIZIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIZIII",
"IIIIIIIIIZII",
"IIIIIIZIIIII",
"IIIIIIIZIIII",
"IIIIZIIIIIII",
"IIIIIZIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
-5,
14,
3,
10,
7,
-5.5,
15,
0.5,
-6.5,
2,
1,
-12.5
] | 0.972029 | [
1.4741728862354244,
0.05392223300046042,
0.2813138287897202,
0.5501467199981654,
1.5231582875153413,
0.3024691162812203,
0.17869511469495414,
0.13873491319947254,
-0.05280395234537337,
0.7918228474059906,
1.960124269710901,
0.36129431725432376,
-0.48673534185721506,
0.2971585941256855,
1... | {
"n_parameters": 66,
"n_qubits": 12,
"optimal_eigenvalue": -135,
"target_ratio": 0.97,
"target_value": -130.95
} | 21 |
1fd32350c6b58ebe75a7ee0bc05f9883 | 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": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4},... | {"states": [2032, 2035], "expectation_value": -13.109748512042511, "params": null, "bitstrings": ["00000001111", "00000001100"], "total_optimization_steps": 100, "probabilities": [0.11186051516620518, 0.3327946952993154], "optimization_time": 211.12315893173218} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(10)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + -1.0 * Z(8) + -1.0 * Z(7) + 0.5 * Z(10) + 0.5 * Z(9) | 1 | 11 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["00000001100"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.9823172978385183) q[0];
cx q[1], q[0];
rz(-1.5707963045447277) q[0];
rx(1.5707963068411077) q[0];
rz(-1.5707963045447277) q[1];
rx(1.5707963068411077) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(2.853751104430121e-09) q[2];
cx q[3], q[2]... | null | {"node": 9} | {"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(1.5681) q[3], 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[... | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIIZIZII",
"IIIIZZIIIII",
"IIZZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIZIIIIIII",
"ZIIIIIIIIII",
"IZIIIIIIIII"
] | [
-1,
-1.5,
-1.5,
-1.5,
-1,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5
] | 0.862365 | [
0.9823172978385183,
2.853751104430121e-9,
-1.5707963045447277,
1.5707963068411077
] | {
"n_parameters": 4,
"n_qubits": 11,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 119 |
a91613587e2e3ed31c854337981da9dd | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, ... | {"states": [1, 5], "expectation_value": -8.994069887330976, "params": null, "bitstrings": ["11111110", "11111010"], "total_optimization_steps": 21, "probabilities": [0.49801329686780876, 0.49901874048113365], "optimization_time": 14.214370250701904} | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(6)) + -1.25 * (Z(5) @ Z(3)) + 1.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(7) + -1.25 * Z(2) + 0.0 * Z(3) + 0.0 * Z(6) + -... | 1 | 8 | 3 | {"smallest_eigenvalues": [-9.0, -9.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.0, "smallest_bitstrings": ["11111110", "11111010"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.8142818159798348) q[0];
ry(-0.032593683521263635) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.610183497606998) q[2];
h q[3];
ry(-1.610183497606998) q[3];
h q[4];
ry(-1.610183497606998) q[4];
h q[5];
h q[6];
ry(-1.610183497606998) q[6];
h q[7];
ry(1.4863581279641118)... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"ZIIIIIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IZIIIIZI",
"IZIIZIII",
"IIIZIZII",
"IZIZIIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"IIIZIIII",
"IIZIIIII"
] | [
-0.25,
0.5,
-1.25,
-0.25,
-1.75,
-0.25,
-0.75,
-0.75,
-1,
-1.25,
1.5,
-0.25,
0.5,
-1.25,
0,
0,
-1.75,
1.25
] | 0.997911 | [
-1.610183497606998,
1.4863581279641118,
-1.6285636319596697,
-1.3831484037152848,
-0.3101084791166965,
0.12617624117491766,
0.014085585013846047
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 1 |
ec933aed1c04f3b68158d1f19d6e6501 | 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": [933, 677], "expectation_value": -35.16289169488712, "params": [0.0032, 0.0063, 2.0112, 0.0067, 1.56, 0.0032, 2.0094000000000003, 0.0078000000000000005, 0.6993, 0.0071, 2.0058000000000002, 0.004, 1.2211, 0.0009000000000000001, 1.4809, 0.00030000000000000003, 2.0102, 0.0068000000000000005, 1.3375000000000001,... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(6) @ Z(3)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(9) @ Z(8)) + 6.5 * (Z(10) @ Z(9)) + 6.5 * (Z(4) @ Z(10)) + 14.5 * Z(1) + -5.5 * Z(0) + 2.5 * Z(2) + 15.0 * Z(3) + 0.5 * Z(6) + 6.5 * Z(... | 18 | 11 | 1 | {"smallest_eigenvalues": [-110.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -94.5, "smallest_bitstrings": ["10101011010"], "largest_eigenvalue": 121.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.08276611242449539) q[0];
rz(-0.5508430835154501) q[0];
rx(3.2428682205563266) q[1];
rz(0.9209515305476972) q[1];
rx(-0.07345599509071715) q[2];
rz(0.08276611242449539) q[2];
rx(2.9134274866557393) q[3];
rz(-0.39098729633449847) q[3];
rx(-0.18927681675518698) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIZIIZIII",
"IIIIZZIIIII",
"IIIZIZIIIII",
"IIZZIIIIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"ZIIIIIZIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIZIIIIII... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
14.5,
-5.5,
2.5,
15,
0.5,
6.5,
2,
7.5,
1,
7.5,
-1.5
] | 0.974909 | [
0.08276611242449539,
-0.8243237429837516,
3.2428682205563266,
0.9209515305476972,
-0.07345599509071715,
2.9134274866557393,
-0.39098729633449847,
-0.18927681675518698,
-0.47716831099131424,
3.2959264456405633,
-0.5637252746291213,
0.46878289032634846,
-0.2844208941583146,
-0.13513362887066... | {
"n_parameters": 31,
"n_qubits": 11,
"optimal_eigenvalue": -110.5,
"target_ratio": 0.97,
"target_value": -107.185
} | 24 |
-7383578691859669675 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 6, 7, 8], [2, 3, 4, 6], [8, 3, 4], [0, 2, 3], [1, 4, 5, 6, 8], [8, 2, 5], [8, 5, 7], [0, 1, 2, 4, 6], [0, 2, 4, 5], [1, 2, 3, 5, 6], [2, 3, 6, 7, 8], [1, 2, 7], [0, 2, 5, 7], [0, 8, 4, 6]]} | {"states": [431, 446], "expectation_value": -2.0968777134165815, "params": [[-0.3362], [0.33740000000000003]], "bitstrings": ["001010000", "001000001"], "total_optimization_steps": 40, "probabilities": [0.008193968542519026, 0.009107773572898692], "optimization_time": 6.4487128257751465} | 0.4333333333333333 * (Z(0) @ Z(2)) + 0.2833333333333333 * (Z(6) @ Z(2)) + 0.18333333333333335 * (Z(6) @ Z(0)) + 0.35 * (Z(7) @ Z(2)) + 0.13333333333333333 * (Z(7) @ Z(0)) + 0.1 * (Z(7) @ Z(6)) + 0.26666666666666666 * (Z(8) @ Z(2)) + 0.13333333333333333 * (Z(8) @ Z(0)) + 0.23333333333333334 * (Z(8) @ Z(6)) + 0.266666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.3333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.3333333333333326, "smallest_bitstrings": ["001000001"], "largest_eigenvalue": 14.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.48709920451025857) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(0.05542541864601731) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(-0.06832871885835946) q[6];
cx q[0], q[6];
h q[7];
cx q[2], q[7];
rz(0.0105... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIZIIIZII",
"IIZIIIIIZ",
"IZIIIIZII",
"IZIIIIIIZ",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIZZII",
"IIIIIZIIZ",
"IIZIIZIII",
"IZIIIZIII",
"ZIIIIZIII",
"IIIIZIZII",
"IIIIZIIIZ",
"IIZIZIIII",
"ZIIIZIIII",
"IIIIZZIII",
"IIIIIIZZI",
"... | [
0.4333333333333333,
0.2833333333333333,
0.18333333333333335,
0.35,
0.13333333333333333,
0.1,
0.26666666666666666,
0.13333333333333333,
0.23333333333333334,
0.26666666666666666,
0.35,
0.16666666666666666,
0.18333333333333335,
0.05,
0.21666666666666667,
0.21666666666666667,
0.216666666... | 0.973593 | [
-0.48709920451025857,
0.05542541864601731,
-0.06832871885835946,
0.010585546560035523,
-0.021496407819609584,
-0.0358593349836913,
0.020344533018412086,
-0.015883494871589125,
-0.014122927386379184,
0.05195672638972552,
-0.02323056219916187,
0.1978963949581923,
-0.003575148719568458,
-0.03... | {
"n_parameters": 23,
"n_qubits": 9,
"optimal_eigenvalue": -3.3333333333333335,
"target_ratio": 0.97,
"target_value": -3.2333333333333334
} | 138 |
834390fba4c480def6c6a26217d7a9af | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5... | {"states": [35, 33], "expectation_value": -0.8159598830361329, "params": [[-0.0528, -0.059300000000000005], [0.055400000000000005, 0.060700000000000004]], "bitstrings": ["1011100", "1011110"], "total_optimization_steps": 10, "probabilities": [0.012265937931662224, 0.012647807888242688], "optimization_time": 2.542056322... | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + 2.25 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + -0.75 * (Z(1) @ Z(6)) + -0.75 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + -0.75 * Z(4) + -0.5 * Z(5) + 1.5 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1011110"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(2.869273259256995) q[0];
ry(0.09542235691189135) q[0];
rz(-1.8369290239007654) q[0];
rz(-1.3551396718991269) q[1];
ry(2.50727987045565) q[1];
rz(1.7167877129662905) q[1];
rz(2.3001577391064183) q[2];
ry(0.08000879805697068) q[2];
rz(-0.6784659726885094) q[2];
rz(-1.9... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIIIZZI",
"IIIZIZI",
"IZIIIZI",
"ZIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI"
] | [
-0.25,
-0.75,
-0.75,
-0.75,
-0.25,
2.25,
-0.25,
-0.75,
-0.25,
-0.75,
-0.75,
-0.25,
-0.75,
-0.75,
-0.5,
1.5,
1.5
] | 0.97592 | [
-0.005918934518704563,
0.49370722410123724,
-0.8849965050263602,
0.07845337494703145,
0.02616735845959705,
0.7776578446832089,
-0.05296051004187756,
0.6678277614367606,
0.20933129799598119,
0.8357708806427091,
-0.050070225743099474,
0.7236417753361262,
1.1561876310254893,
-0.03088305928298... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 4 |
3203e6b5b42395ee244d3c25a0a78bc8 | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [43605, 43669], "expectation_value": -1.7066613092910967, "params": null, "bitstrings": ["0101010110101010", "0101010101101010"], "total_optimization_steps": 100, "probabilities": [0.12650885885521268, 0.26488012035041913], "optimization_time": 790.1476254463196} | 0.25 * (Z(0) @ Z(1)) + -0.0005208333333333333 * (Z(2) @ Z(0)) + -0.0005208333333333333 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.00078125 * (Z(4) @ Z(0)) + -0.0006944444444444446 * (Z(4) @ Z(2)) + -0.00078125 * (Z(5) @ Z(1)) + -0.0006944444444444446 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00078125 * (Z(6) @ Z(0))... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.023958333333314], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.023958333333267, "smallest_bitstrings": ["0101010101101010"], "largest_eigenvalue": 2.010243055555499} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
ry(-0.4389231779804787) q[1];
cx q[0], q[1];
ry(0.4389231779804787) q[1];
cx q[0], q[1];
ry(-0.33182563491258366) q[0];
cx q[1], q[0];
ry(0.33182563491258366) q[0];
cx q[1], q[0];
ry(0.7291120046559246) q[0];
ry(-0.366811191980229) q[1];
h q[2];
h q[3];... | null | {"communities_size": 4, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncry(-0.5941) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[... | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0005208333333333333,
-0.0005208333333333333,
0.25,
-0.00078125,
-0.0006944444444444446,
-0.00078125,
-0.0006944444444444446,
0.25,
-0.00078125,
-0.0006944444444444446,
0.00017361111111111112,
-0.00078125,
-0.0006944444444444446,
0.00017361111111111112,
0.25,
0.00052083333333... | 0.971199 | [
-1.8461793631887822,
-0.5818991029321734,
-0.8778463559609574,
-0.8116048800450982,
-0.6948419681828587,
-0.4366579460210848,
-0.6299719822962283,
-0.5306962813176093,
1.0649874506037698,
-0.6636512698251673,
0.6709878259743934,
0.5264328913028224,
1.332671285732788,
0.43035499370500835,
... | {
"n_parameters": 95,
"n_qubits": 16,
"optimal_eigenvalue": -2.023958333333314,
"target_ratio": 0.97,
"target_value": -1.9632395833333147
} | 112 |
d742f18d9d61b691ec5b2dbe8d1ae52d | 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": 10, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 4}, {"weight": 14, "source": 0, "target": 5}, {"weight": 19, "source": 1, "ta... | {"states": [252, 236], "expectation_value": -29.407097768464258, "params": [[-0.022600000000000002, -0.0117, 0.0033, 0.0067], [0.053700000000000005, 0.0637, 0.0567, 0.0587]], "bitstrings": ["100000011", "100010011"], "total_optimization_steps": 10, "probabilities": [0.008223011217411475, 0.010805575059312884], "optimiz... | 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(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 10.5 * Z(1) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-75.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 158.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.17395330551120458) q[0];
rz(0.6431646181740795) q[0];
rx(1.6954688567067546) q[1];
rz(-0.028620454418304114) q[1];
rx(1.5403158318592238) q[2];
rz(0.023881487221566803) q[2];
rx(1.5635728311765713) q[3];
rz(-0.27303456014271554) q[3];
rx(0.2823681779893861) 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[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIIZII",
"IIZZIIIII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10.5,
9.5,
20.5,
9.5,
17,
5,
14.5,
10,
-1
] | 0.976931 | [
0.17395330551120458,
0.31144105261471694,
1.6954688567067546,
-0.028620454418304114,
1.5403158318592238,
0.023881487221566803,
1.5635728311765713,
-0.27303456014271554,
0.2823681779893861,
-0.3016098009609442,
1.5244076922853529,
-0.07739591827432267,
1.456717966923092,
0.13818020010777404... | {
"n_parameters": 52,
"n_qubits": 9,
"optimal_eigenvalue": -75.5,
"target_ratio": 0.97,
"target_value": -73.235
} | 14 |
1457114476589758253 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[1, 2], [0, 2], [0, 3], [0, 1], [3, 4]]} | {"states": [6, 25], "expectation_value": -0.04268213205045393, "params": [[0.0684], [-0.0634]], "bitstrings": ["11001", "00110"], "total_optimization_steps": 10, "probabilities": [0.0328751033579701, 0.0328751033579701], "optimization_time": 0.8773856163024902} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -0.5, "smallest_bitstrings": ["11001", "10101", "10001", "01110", "01010", "00110"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.027465318538021748) q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
ry(0.027465318538021748) q[0];
cx q[3], q[0];
ry(-0.1892872404686874) q[0];
cx q[2], q[0];
ry(0.1892872404686874) q[0];
cx q[2], q[0];
ry(-0.06333852125901397) q[0];
cx q[1], q[0];
ry(0.06333... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx ... | null | {"circuits": [], "gradients": []} | [
"IIZZI",
"IIZIZ",
"IIIZZ",
"IZIIZ",
"ZZIII",
"IIZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.972727 | [
-0.054930637076043495,
1.5856641070355026,
-0.3785744809373748,
1.3136107911713928,
-0.12667704251802794,
-0.28241134590133377,
0.0892121044475156,
0.5573195372806842,
-1.3025878273264733,
-1.2477322941505482,
-0.18967926203427887,
0.3753065817761621,
0.050921257781780575,
-0.4342399958631... | {
"n_parameters": 24,
"n_qubits": 5,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 35 |
2d02f35370a8769eaaa03bbd3e88b224 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [28, 30], "expectation_value": -2.164169726881122, "params": [-0.0034000000000000002, 0.38870000000000005, -0.002, 0.5245000000000001, -0.0027, 0.44580000000000003, 0.7100000000000001, 0.002, 0.7048, 0.0024000000000000002, 0.7073, 0.001, 0.7015, -0.0105, 0.4605, 0.1383, -0.0022, -0.1164, -0.002, -0.124900000... | 0.0625 * (Z(2) @ Z(0)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(2) @ Z(5)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(4) @ Z(5)) + -0.0625 * (Z(2) @ Z(0) @ Z(3)) + -0.0625 * (Z(2) @ Z(0) @ Z(4)) + -0.0... | 4 | 8 | 2 | {"smallest_eigenvalues": [-4.0625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0625, "smallest_bitstrings": ["11100001"], "largest_eigenvalue": 5.9375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.028724036569921858) q[0];
cx q[2], q[0];
rz(1.2326671886736946) q[0];
rx(-1.6076612753279809) q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.028724036569921858) q[5];
cx q[2], q[5];
cx q[2], q[3];
rz(0.028724036569921858) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIIZZII",
"IIIZIZII",
"IIZIIZII",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIIIZZIZ",
"IIIZIZIZ",
"IIZIIZIZ",
"IIIZZIIZ",
"IIZIZIIZ",
"IIZZIIIZ",
"IIIZZZII",
"IIZIZZII",
"IIZZIZII",
"IIZZZIII",
"IIIZZZIZ",
"IIZIZZIZ",
"IIZZIZI... | [
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25... | 0.971132 | [
0.028724036569921858,
-1.5782905238710299,
1.2326671886736946,
-1.3850374293024992,
-4.44702294793995,
-1.6076612753279809
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 31 |
4973527a678849b98f57c7e36651dc7d | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [41, 97], "expectation_value": -4.496398064640455, "params": null, "bitstrings": ["1010110", "0011110"], "total_optimization_steps": 25, "probabilities": [0.06635227036942623, 0.9303267404400778], "optimization_time": 22.338273525238037} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(1) + -1.5 * Z(4) + -1.5 * Z(5) + 0.0 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0111010", "0011110", "1100110", "1010110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.8788272678966522) q[0];
rz(pi/2) q[0];
ry(-0.1334241194120591) q[1];
ry(0.011604251726391297) q[2];
ry(0.25142013658659446) q[3];
ry(0.7966340171037538) q[4];
ry(0.9791512702589679) q[5];
ry(0.407401027069806) q[6];
ry(0.4990764500234285) q[7];
ry(0.91240932417959... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZIIZ",
"IIIIZZI",
"IIZIZII",
"IIZZIII",
"IIZIIZI",
"IZIIZII",
"IZIIIZI",
"IZZIIII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-1,
-1.5,
-1.5,
0
] | 0.972665 | [
0.8788272678966522,
-0.1334241194120591,
0.011604251726391297,
0.25142013658659446,
0.7966340171037538,
0.9791512702589679,
0.407401027069806,
0.4990764500234285,
0.9124093241795926,
0.01000725245064743,
0.5390097874767521,
0.3349754001153205,
0.09482307600885169,
0.08011815732247125,
-0... | {
"n_parameters": 78,
"n_qubits": 10,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 56 |
3257eb74c5059c972aa1cf1f57c7841b | 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": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [56, 41], "expectation_value": -4.996515641776615, "params": null, "bitstrings": ["1000111", "1010110"], "total_optimization_steps": 26, "probabilities": [0.06700895329685967, 0.929746164097619], "optimization_time": 26.615728855133057} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.5 * Z(5) + -0.5 * Z(6) + -1.5 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1110100", "1010110", "1000111"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.604794358462062) q[0];
h q[1];
ry(1.4676073177425042) q[1];
h q[2];
ry(-0.5077466166761001) q[2];
h q[3];
ry(1.4266241947204965) q[3];
h q[4];
ry(-1.604794358462062) q[4];
ry(-0.15549175033431428) q[5];
rz(-pi) q[5];
h q[6];
cx q[6], q[2];
ry(0.50774661667... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZIZ",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"ZIIIIIZ",
"ZIIIZII",
"IIZIIZI",
"IIZIZII",
"IZZIIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIZIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-1.5,
-1.5,
-0.5,
-1.5,
0
] | 0.998653 | [
-1.604794358462062,
-1.4553258713263464,
1.4266241947204965,
1.4676073177425042,
-1.0154932333522002,
0.6855737295491413,
-0.5831377709843016,
0.6175056371217669,
-0.38038496147893763,
0.31761360388928944,
-0.14371098723256165,
0.08004258973152818,
0.123377621009911,
0.17468612591959368,
... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
ec9ff3207d000463c19c23961aa86ce6 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": ... | {"states": [888, 1017], "expectation_value": -1.023337703940185, "params": [[-0.0743], [0.0683]], "bitstrings": ["0010000111", "0000000110"], "total_optimization_steps": 10, "probabilities": [0.0016021536940525767, 0.0016650081538874914], "optimization_time": 1.5772204399108887} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 1.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + -1.0 * Z(8) + -1.0 * Z(7) + 0.5 * Z(... | 5 | 10 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["0000000110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.5052530082090905) q[0];
h q[1];
ry(-0.009243059390101133) q[1];
h q[2];
ry(0.7897296108867939) q[2];
h q[3];
ry(0.3684999598537079) q[3];
h q[4];
cx q[4], q[3];
ry(-0.3684999598537079) q[3];
cx q[4], q[3];
cx q[3], q[0];
ry(-0.5052530082090905) q[0];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIZZIIIII",
"IZZIIIIIII",
"ZIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IZIIIIIIII",
"IIZIIIIIII",
"IIIIIIIZII",
"ZIIIIIIIII"
] | [
-2,
-2,
-2,
1,
-2,
-2,
-1,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5
] | 0.946003 | [
0.7369999197074159,
1.010506016418181,
-0.018486118780202267,
2.786678331503421,
-0.35516717076301857,
0.0030376569410825657,
1.3419868022816568,
-0.03517863644216987,
-0.05231290514712812,
-1.3470583962394158,
-1.7271316915640658,
1.5794592217735879,
1.2534933124978211,
0.3305700410441207... | {
"n_parameters": 47,
"n_qubits": 10,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 500 |
cc31682ab05ca81a61f7b0cb1686d27a | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [615, 614], "expectation_value": -70.86921789463781, "params": [0.7997000000000001, 0.0313, 0.5672, -0.004, 0.02, -0.2028, 0.7895000000000001, -0.0117, 0.8044, 0.024200000000000003, 0.3821, 0.228, -0.0041, 0.5076, 0.797, -0.0563, 0.7959, 0.0228, 0.48660000000000003, 0.1991, 0.7942, -0.01, 0.39390000000000003... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(4) @ Z(1)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(7) @ Z(3)) + 7.5 * (Z(9) @ Z(7)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(2) @ Z(8)) + 2.0 * Z(1) + 0.5 * Z(0) + 16.0 * Z(4) + 14.5 * Z(3) + 2.5 * Z(5) + 14.0 * Z(7) + 2.5 * Z(9) + 16.5 *... | 4 | 10 | 3 | {"smallest_eigenvalues": [-100.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -92.5, "smallest_bitstrings": ["0110011001"], "largest_eigenvalue": 149.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.9781392888729428) q[0];
rz(1.6042003895196286) q[0];
rx(0.15258114775571305) q[1];
rz(1.7476663943258286) q[1];
rx(0.30052573526467785) q[2];
rz(1.2314042282841786) q[2];
rx(0.9366129024103874) q[3];
rz(1.8135002459475675) q[3];
rx(1.109869706268432) q[4];
rz(1.46... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIIZIZIII",
"IIZIIIZIII",
"ZIZIIIIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"IZIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIZIIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIIIIIIZII",
"IIIZIIIIII"... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
2,
0.5,
16,
14.5,
2.5,
14,
2.5,
16.5,
-5,
-11
] | 0.972975 | [
0.9781392888729429,
0.03340406272473241,
0.15258114775571302,
0.17687006753093207,
0.30052573526467785,
-0.3393920985107178,
0.9366129024103874,
0.24270391915267084,
1.1098697062684322,
-0.10218075400633048,
0.004322087839379153,
0.41439545783319115,
0.07038084742703456,
0.4816028033133347... | {
"n_parameters": 85,
"n_qubits": 10,
"optimal_eigenvalue": -100.5,
"target_ratio": 0.97,
"target_value": -97.485
} | 15 |
b93e7e87e2621c92c7ba04b041c49bf3 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 2}, {"weight": 14, "source": 0, "target": 4}, {"weight": 13, "source": 1, "target": 2}, {"weight": 1... | {"states": [125, 122], "expectation_value": -9.572583667318955, "params": [[0.0572], [-0.0733]], "bitstrings": ["10000010", "10000101"], "total_optimization_steps": 10, "probabilities": [0.0075917321631645005, 0.00822163873673686], "optimization_time": 2.3505797386169434} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) @ Z(4)) + 3.5 * (Z(7) @ Z(6)) + 16.5 * Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-61.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 139.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.18095492688154305) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.18095492688154305) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.18095492688154305) q[2];
cx q[3], q[2];
rz(0.8074839178710835) q[3];
rx(1.411180127000671) q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IZIIIZII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
16.5,
10,
14,
13.5,
12,
7.5,
9.5,
7.5
] | 0.923411 | [
-0.18095492688154305,
0.8074839178710835,
-0.9410650216682992,
1.4111801270006712,
-0.7361957294362335,
0.4420026896995149,
0.28479132416285424,
1.0392592742276436,
-0.5347775873994031,
1.322723886363652,
-1.2976651434758002,
0.9340766908427282,
-0.730793540399182,
0.9791307353720787,
-1... | {
"n_parameters": 16,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 419 |
00c47f772e828bc0d4453cbe4002ef93 | kclique | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [5, 7], "expectation_value": -4.245500233264764, "params": [[[0.4988, 0.20720000000000002], [0.47840000000000005, 0.2192], [0.49400000000000005, -0.2081], [0.4949, -0.2016], [0.8921, 0.0008], [0.8370000000000001, -0.0009000000000000001], [0.8520000000000001, -0.0001]], [[0.5005000000000001, 0.0098], [0.48140... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 *... | 1 | 7 | 2 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[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] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.25,
-3.5,
-3.25,
-3.25,
-3.25,
-2.75,
-3,
-3
] | 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 |
9c39e63103594dc6f11ed26b2dc64fda | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [122, 90], "expectation_value": -2.1046063050829584, "params": [0.0014, 0.46240000000000003, 0.5967, 0.0497, 0.49770000000000003, 0.0983, 0.5974, 0.024200000000000003, 0.605, -0.0011, 0.0015, 0.44820000000000004, 0.6007, 0.0063, -0.0001, 0.46340000000000003, 0.0049, 0.42210000000000003, 0.6032000000000001, 0... | 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)) + 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(1)) + -0.125 * (Z(0) @ Z(1) @ Z(5)) + -0.125 * (Z(... | 18 | 8 | 3 | {"smallest_eigenvalues": [-3.875], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.875, "smallest_bitstrings": ["10100101"], "largest_eigenvalue": 6.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.19452280961945576) q[0];
rz(0.30295863413507124) q[0];
ry(0.04818831094211186) q[1];
rz(-0.21023319069150714) q[1];
cz q[1], q[0];
ry(-0.058066252870596996) q[0];
rz(0.31641565335056476) q[0];
ry(0.6119038216673344) q[1];
ry(-0.09397040221615205) q[2];
rz(0.340998... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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",
"IIIIIIZZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIZIIZI",
"IIZIIIZI",
"IIZZIIII",
"IIIZIIZZ",
"IIZIIIZZ",
"IIZZIIIZ",
"IIZZIIZI",
"IIZZIIZZ",
"IIIZIZII",
"IZIIIZII",
"IZIZIIII",
"IZIZIZII",
"IZIIZIII",
"ZIIIZIII",
"ZZIIIIII",
"ZZIIZII... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.625,
0.125,
0,
0,
0.125,
-0.625,
0,
-0.75
] | 0.976182 | [
-0.19452280961945576,
0.30295863413507124,
0.04818831094211186,
-0.21023319069150714,
-0.09397040221615205,
0.3409981265812652,
0.3722276057109096,
0.026742357803094544,
1.0733264672344893,
0.05905263919131299,
0.042205978700035035,
0.36710250180865994,
0.7588792373994389,
0.03139439043716... | {
"n_parameters": 83,
"n_qubits": 8,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 19 |
-8849274565359226034 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 2, 4, 5], [1, 3], [0, 2, 3, 4]]} | {"states": [7, 15], "expectation_value": -0.9272933484367836, "params": null, "bitstrings": ["111000", "110000"], "total_optimization_steps": 36, "probabilities": [0.09403987325782283, 0.7236358677070988], "optimization_time": 35.7958037853241} | 0.08333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.9999999999999999, "smallest_bitstrings": ["110000"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.07648332216693902) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.02756486956456482) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(-0.07648332216693902) q[4];
cx q[1], q[4];
h q[5];
cx q[2], q[5];
rz(-0.07648332216693902)... | 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(1.0342) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIZZI",
"IZIZII",
"IZIIZI",
"ZIIZII",
"ZIIIZI",
"ZZIIII",
"IIZZII",
"IIZIZI",
"IZZIII",
"IIIZIZ",
"IZIIIZ",
"IIZIIZ",
"IIIZII",
"IIIIZI",
"IZIIII",
"ZIIIII",
"IIZIII",
"IIIIIZ"
] | [
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.24999999999999994,
0.125,
0.24999999999999994,
0... | 0.787219 | [
-0.07648332216693902,
-0.02756486956456482,
-1.534902620331501,
-1.5009695643482726,
0.00041621475369246405,
0.8599559795931836
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 163 |
1c5d1381d8045df60eb241fe502287d3 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": ... | {"states": [0, 135], "expectation_value": -29.871899415725384, "params": [0.0047, 0.3367, 0.0019, 0.2156, -0.0053, 0.5338, 0.004200000000000001, 0.626, 0.4267, 0.3402, 0.2525, 0.3633, 0.3257, -0.4914, 0.2351, -0.2341, -0.0092, 0.39330000000000004, 0.0128, 0.5686, 0.0063, 0.5881000000000001, -0.0017000000000000001, 0.49... | -3.0 * (Z(0) @ Z(1)) + 1.5 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -3.5 * (Z(5) @ Z(1)) + 1.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -2.5 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(5)) + -1.5 * (Z(7) @ Z(8)) + -2.0... | 6 | 10 | 4 | {"smallest_eigenvalues": [-32.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.0, "smallest_bitstrings": ["1101111000"], "largest_eigenvalue": 29.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rz(-pi) q[0];
ry(-0.0469402290191681) q[0];
ry(-0.006734321659309033) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
ry(-0.06717540740365421) q[4];
rz(-pi) q[4];
h q[5];
ry(-1.5827175563940483) q[5];
cx q[5], q[0];
ry(0.04464761442408521) q[0];
cx q[5], q[0];
ry(-0.00116391938367... | 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": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIIZIZIII",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZIZIIII",
"IIIZZIIIII",
"IZZIIIIIII",
"IZIIIIIZII",
"IIZIIIIZII",
"ZZIIIIIIII",
"ZIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ"... | [
-3,
1.5,
-3,
-2.5,
0.5,
-3.5,
1.5,
-3,
0.5,
1,
1,
-2.5,
-2.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
-3,
-2.5,
-2.5,
1,
-2.5,
-2.5,
0.5,
0.5,
0.5,
0.5
] | 0.966229 | [
-1.581858588435739,
-1.5827175563940483,
-1.5730889413899798,
-0.08929522884817041,
-1.567012916357841,
-0.0023278387673489167,
-0.0034155684297446313,
0.003948709747273392,
1.4634202878432003,
-0.009746326494580364,
0.00997636903925454,
0.008727371946632615,
1.5676188468578816,
1.21256185... | {
"n_parameters": 79,
"n_qubits": 10,
"optimal_eigenvalue": -32,
"target_ratio": 0.97,
"target_value": -31.04
} | 500 |
92e0d9744e7b0376f2c61fec7a621b77 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [56, 25], "expectation_value": -3.4964640978287123, "params": null, "bitstrings": ["000111", "100110"], "total_optimization_steps": 23, "probabilities": [0.06634871027471173, 0.930365963812893], "optimization_time": 16.658466815948486} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(3) + -1.0 * Z(0) + -1.0 * Z(4) + -0.5 * Z(5) + -0.5 * Z(1) + 0.0 * Z(2) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["000111", "100110"], "largest_eigenvalue": 7.5} | 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];... | 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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIZIIZ",
"IZIIIZ",
"ZIIIIZ",
"ZZIIII",
"IIZIZI",
"IZIIZI",
"IIZZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-0.5,
-0.5,
0
] | 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 |
3c19f9831e6cfa49816137fc59f904da | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 11}, {"capacity": 1, "source":... | {"states": [4095, 2047], "expectation_value": -12.520541560567304, "params": [[[0.0044, -0.1129], [0.003, -0.0032], [0.0088, 0.0023], [0.010100000000000001, 0.0023], [0.0064, 0.0023], [0.0048000000000000004, 0.0024000000000000002], [0.0038, 0.0024000000000000002], [0.0057, 0.0023], [0.0032, 0.0023], [0.0031000000000000... | -0.25 * (Z(0) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(8) @ Z(4)) + -0.5 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @ Z(5)) + -1.0 * (Z(9) @ Z(1)) + -0.25 * (Z(9) @ Z(8)) + -0.5 * (Z(11) @ Z(4)) + -0.25 * (Z(11) @ Z(1)) + -0.5 * (Z(11) @ Z(9)) + -0.25 * (Z(7) ... | 15 | 12 | 2 | {"smallest_eigenvalues": [-13.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.25, "smallest_bitstrings": ["100000000000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.14208043218122007) q[0];
ry(0.29431376229841194) q[1];
ry(-0.18137712152185242) q[2];
ry(0.03704264748685851) q[3];
ry(0.23449803425738944) q[4];
ry(0.17051930298764437) q[5];
ry(-0.05568597090029804) q[6];
ry(0.18122405221679402) q[7];
ry(-0.043748872901916015) 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": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIZ",
"IIIIIIIIZIIZ",
"IIIIIIIIZIZI",
"IIIIIIZZIIII",
"IIIIIIZIIIZI",
"IIIZIIIZIIII",
"IIIZIIIIIIZI",
"IIIZIIZIIIII",
"IIZIIIIIIIZI",
"IIZZIIIIIIII",
"ZIIIIIIZIIII",
"ZIIIIIIIIIZI",
"ZIZIIIIIIIII",
"IIIIZIIZIIII",
"IIIIZIIIZIII",
"IIZIZIIIIIII",
"ZIIIZIIIIIII",
"IIIIIIIZI... | [
-0.25,
0.5,
-0.5,
-0.25,
-0.75,
-0.5,
-0.5,
-0.5,
-1,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
0.5,
-0.25,
-1,
0,
0,
0.25,
-0.25,
-0.25,
... | 0.970483 | [
0.14208043218122007,
0.29431376229841194,
-0.18137712152185242,
0.03704264748685851,
0.23449803425738944,
0.17051930298764437,
-0.05568597090029804,
0.18122405221679402,
-0.043748872901916015,
0.14040549732818447,
-0.13394162493768685,
2.303791514128692,
0.024212005872542873,
-0.0401667332... | {
"n_parameters": 36,
"n_qubits": 12,
"optimal_eigenvalue": -13.25,
"target_ratio": 0.97,
"target_value": -12.8525
} | 44 |
e2fd758a3afa6a51c78ff05fa92b78d0 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"source": 4, "target":... | {"states": [0, 448], "expectation_value": -14.981818414025247, "params": [-0.42360000000000003, -0.057800000000000004, -0.3935, 0.011300000000000001, -0.40180000000000005, 0.12430000000000001, -0.4015, 0.12940000000000002, -0.4217, 0.2979, -0.38220000000000004, 0.5537000000000001, 0.0018000000000000002, 0.4093, -0.0032... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(6)) + -3.0 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(3)) + -2.0 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 6 | 9 | 4 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["000111111"], "largest_eigenvalue": 23.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.0014701911647985) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(1.0014701911647985) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.054333167468443744) q[1];
rx(0.9556432989032126) q[1];
rz(0.054333167468443654) q[2];
cx q[0], q[2];
rz(0.05... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIZIIZIII",
"IIZIZIIII",
"IIIIZZIII",
"IZIIIZIII",
"IZIIZIIII",
"ZIZIIIIII",
"ZIIIIZIII",
"ZIIIZIIII",
"ZZIIIIIII",
"IIZZIIIII",
"IIIZIZIII",
"IIIZZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIZIIIIII",
"IIIIIZIII",
"IIIIZIIII",
"... | [
-1.5,
-1.5,
0.5,
-2.5,
-3,
1,
0.5,
0.5,
0.5,
0.5,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
1.5,
-2.5,
-2.5,
-2,
-2,
0.5
] | 0.582634 | [
1.0014701911647985,
0.054333167468443654,
0.9477412893892125,
0.24493680271071364,
0.0316950669854548,
0.8626786221201721,
0.5496184190932918,
0.9556432989032125
] | {
"n_parameters": 8,
"n_qubits": 9,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 186 |
4479564290212054681 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[2, 11], [8, 3, 7], [3, 4, 5, 7, 11], [0, 5], [1, 3], [2, 6], [9, 12], [10, 11]]} | {"states": [682, 746], "expectation_value": -3.0401499280702193, "params": [[[0.0021000000000000003, 0.0068000000000000005, 0.0088, 0.0061], [0.0023, 0.8887, 0.0021000000000000003, 0.0098], [0.0017000000000000001, 0.0014, 0.007, 0.0099], [0.9719000000000001, -0.0027, 1.0889, 0.008], [-0.002, 0.0082, 0.00090000000000000... | 0.5 * (Z(2) @ Z(11)) + 0.05 * (Z(3) @ Z(11)) + 0.16666666666666666 * (Z(8) @ Z(3)) + 0.05 * (Z(7) @ Z(11)) + 0.21666666666666667 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(8)) + 0.05 * (Z(4) @ Z(11)) + 0.05 * (Z(4) @ Z(3)) + 0.05 * (Z(4) @ Z(7)) + 0.05 * (Z(5) @ Z(11)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(7... | 12 | 13 | 1 | {"smallest_eigenvalues": [-3.533333333333333, -3.533333333333333, -3.533333333333333, -3.533333333333333, -3.533333333333333, -3.533333333333333, -3.533333333333333, -3.533333333333333, -3.533333333333333, -3.533333333333333, -3.533333333333333, -3.533333333333333, -3.533333333333333, -3.533333333333333, -3.53333333333... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(-0.11052016405219899) q[0];
rz(-0.10451625988289054) q[0];
ry(0.0565781267875575) q[1];
rz(0.9590114520793538) q[1];
cz q[1], q[0];
ry(-0.22104032810439794) q[1];
ry(0.12122687192493115) q[2];
rz(-0.07519713250585912) q[2];
ry(0.6842804740820878) q[3];
rz(-0.0869475... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IZIIIIIIIIZII",
"IZIIIIIIIZIII",
"IIIIZIIIIZIII",
"IZIIIZIIIIIII",
"IIIIIZIIIZIII",
"IIIIZZIIIIIII",
"IZIIIIIIZIIII",
"IIIIIIIIZZIII",
"IIIIIZIIZIIII",
"IZIIIIIZIIIII",
"IIIIIIIZIZIII",
"IIIIIZIZIIIII",
"IIIIIIIZZIIII",
"IIIIIIIZIIIIZ",
"IIIIIIIIIZIZI",
"IIIIIIZIIIZII",
"ZIIZIIIIIII... | [
0.5,
0.05,
0.16666666666666666,
0.05,
0.21666666666666667,
0.16666666666666666,
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,
0.2666666666666666,
0.16666666666666666,
0.26666666666666666,
0.1,
0.09999999999999998,
0,
0,... | 0.970334 | [
-0.11052016405219899,
-0.10451625988289054,
0.0565781267875575,
0.9590114520793538,
0.12122687192493115,
-0.07519713250585912,
0.6842804740820878,
-0.08694753926513582,
-0.0027469611490638784,
0.018258442455453418,
0.9751961392067553,
2.6955924665895323,
-0.023044388209032388,
0.2822109950... | {
"n_parameters": 30,
"n_qubits": 13,
"optimal_eigenvalue": -3.533333333333333,
"target_ratio": 0.97,
"target_value": -3.4273333333333333
} | 13 |
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": 11.601171255111694} | 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 | 3 | {"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 |
267f594e5cb21532a1a860c7d4e0717d | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [164, 166], "expectation_value": -2.1674162416549136, "params": [[[0.4441, 0.3951, 0.0004, 0.0089], [0.6627000000000001, -0.3664, 0.633, -0.0427], [0.5074000000000001, 0.1374, 0.164, 0.0014], [-0.3914, 0.24780000000000002, 0.2192, -0.3647], [0.3332, 0.2285, 0.30610000000000004, 0.0868], [0.0582, 0.2118000000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 11 | 8 | 3 | {"smallest_eigenvalues": [-3.625, -3.625], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.625, "smallest_bitstrings": ["01011001", "01010110"], "largest_eigenvalue": 6.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.24748745819808826) q[0];
rz(-0.17713756506993983) q[0];
rx(-0.1790047299186118) q[1];
rz(0.10654864048877083) q[1];
cx q[1], q[0];
rz(0.011708463917440626) q[0];
cx q[1], q[0];
rz(1.4748675647452902) q[0];
ry(1.210001108655402) q[0];
rz(-1.8286665049021005) q[0];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIIZZIZ",
"IIIIZZZI",
"IIIIZZZZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIZZIIII",
"IIZZIIIZ",
"IZIZIIII",
"IZIIIZII",
"ZIIIIZII",
"ZZIIIIII",
"ZZIIIZII",
"ZIZIIIII",
"IIIIIIIZ",
"IIIIIIZ... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
-0.625,
0.125,
-0.625,
-0.25,
-0.25,
-0.25,
-0.25
] | 0.970926 | [
0.2474874581980883,
-0.1654291011524992,
-0.1790047299186118,
0.10654864048877083,
0.6162612157337666,
0.002052278197618773,
-0.04559442540123893,
0.3771343868759495,
0.43625683568421697,
0.17681883646965665,
0.0163352835731005,
-0.04645655951074808,
-0.033049571212274566,
0.22684970955432... | {
"n_parameters": 138,
"n_qubits": 8,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 9 |
4e789b5f5e852b62538cbace7bbd9fdb | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [101, 60], "expectation_value": -0.0797496847702703, "params": [[0.0194, -0.054], [-0.051000000000000004, 0.046700000000000005]], "bitstrings": ["0011010", "1000011"], "total_optimization_steps": 10, "probabilities": [0.008349104924713854, 0.00834910492471387], "optimization_time": 4.773183107376099} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(5) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["0011010", "1001010", "1000011"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.054223684297274075) q[0];
ry(0.7073741458155203) q[1];
ry(0.6299212895081294) q[2];
ry(-0.0598349296055324) q[3];
ry(1.5950218172399446) q[4];
ry(0.07847122821991884) q[5];
ry(0.29667083444636855) q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZIIZ",
"IZIIIIZ",
"IZIZIII",
"IZIIIZI",
"ZIIZIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1,
-1,
-1.5,
0,
0,
0
] | 0.975201 | [
-0.054223684297274075,
0.7073741458155203,
0.6299212895081294,
-0.0598349296055324,
1.5950218172399446,
0.07847122821991884,
0.29667083444636855,
2.4039220856755206,
2.585004707281585,
1.5357663759353577,
-0.4308428958250802
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4.125,
"target_ratio": 0.97,
"target_value": -4.00125
} | 14 |
-5860608191676456208 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 4], [3, 4, 5, 6], [2, 3], [0, 3, 5, 6], [2, 5], [0, 4, 6], [1, 4, 5, 6], [1, 3, 5, 6], [0, 1, 3]]} | {"states": [14, 78], "expectation_value": -0.05859231175961266, "params": [[0.0597], [-0.0506]], "bitstrings": ["1110001", "0110001"], "total_optimization_steps": 10, "probabilities": [0.008197219637258925, 0.008258517330115261], "optimization_time": 2.350048780441284} | 0.41666666666666663 * (Z(1) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.3333333333333333 * (Z(6) @ Z(4)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.416666666666667, "smallest_bitstrings": ["0110001"], "largest_eigenvalue": 7.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(-0.0005579194038975489) q[1];
cx q[3], q[1];
h q[4];
cx q[3], q[4];
rz(0.0011824693258442045) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(0.0011824693258442045) q[4];
cx q[1], q[4];
h q[5];
cx q[3], q[5];
rz(0.001182469325844... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} | [
"IIIZIZI",
"IIZZIII",
"IIZIIZI",
"IZIZIII",
"IZIIIZI",
"IZZIIII",
"ZIIZIII",
"ZIIIIZI",
"ZIZIIII",
"ZZIIIII",
"IIIZZII",
"IZIIZII",
"IIIZIIZ",
"IIIIIZZ",
"IIZIIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIIIIZ"
] | [
0.41666666666666663,
0.25,
0.25,
0.25,
0.16666666666666666,
0.16666666666666666,
0.25,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.5,
0.5,
0.25,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.25,
0.7083333333333333,
0.5833333333333333,
0.583... | 0.707426 | [
-0.0005579194038975489,
0.0011824693258442045,
0.010572595766272813,
0.007543929947117663,
0.33559008675035623,
0.024890893593723453,
1.583998776710306,
-1.5685286937155676,
1.5699343804133772,
1.5699370937498778,
-1.5428911406424584,
4.718723053245405,
-1.513950909034764
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -2.833333333333334,
"target_ratio": 0.97,
"target_value": -2.748333333333334
} | 305 |
-4440996504541254057 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 3, 4, 6], [0, 3, 4, 7], [1, 5], [2, 4], [0, 5, 6, 7], [3, 5], [0, 4, 5, 7]]} | {"states": [241, 243], "expectation_value": -0.7986766213604333, "params": [[-0.3382], [0.3342]], "bitstrings": ["00001110", "00001100"], "total_optimization_steps": 40, "probabilities": [0.012365464244637027, 0.012725407898494693], "optimization_time": 2.71747088432312} | 0.08333333333333333 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.08333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.4166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3333333333333335, "smallest_bitstrings": ["00001100"], "largest_eigenvalue": 5.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(0.0670248855127368) q[1];
cx q[3], q[1];
h q[4];
cx q[3], q[4];
rz(-0.11161414116997939) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(0.0670248855127368) q[4];
cx q[1], q[4];
h q[5];
h q[6];
cx q[3], q[6];
rz(0.067024885512736... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[1];
rz(x0) q[1];
cx q[3],... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZI",
"IIIZZIII",
"IIIZIIZI",
"IZIIZIII",
"IZIIIIZI",
"IZIZIIII",
"IIIIZIIZ",
"IIIZIIIZ",
"IZIIIIIZ",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"ZIIIIIIZ",
"IIZIZIII",
"IIZIIIZI",
"IIZZIIII",
"IZZIIIII",
"IIZIIIIZ",
"ZIZIIIII",
"IIIZIZII",
"IIIIZIII",
"IIIIIIZI",
"IIIZIII... | [
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.25,
0.5,
0.5,
0.0833333333333333... | 0.632815 | [
0.0670248855127368,
-0.11161414116997939,
-0.19512107346986607,
-1.064898597418487,
-0.0062384322190117214,
-1.0420093251330533,
0.9037681099526507,
0.9223900443917578
] | {
"n_parameters": 8,
"n_qubits": 8,
"optimal_eigenvalue": -2.4166666666666665,
"target_ratio": 0.97,
"target_value": -2.3441666666666663
} | 177 |
ff4d8612be902cee01cbb69055101657 | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [41, 44], "expectation_value": -1.929443671458714, "params": [[0.21450000000000002, 0.1913], [-0.2175, -0.20140000000000002]], "bitstrings": ["010110", "010011"], "total_optimization_steps": 30, "probabilities": [0.05250437366400442, 0.05660278589788824], "optimization_time": 4.504578113555908} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["010110", "000111", "010011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.004484549636475071) q[0];
cx q[4], q[0];
rz(0.7328109886623113) q[0];
rx(-0.8007113399707768) q[0];
cx q[4], q[1];
rz(-0.004484549636475071) q[1];
cx q[4], q[1];
cx q[1], q[3];
rz(-0.004484549636475071) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"IZIIZI",
"IIZIZI",
"ZZIIII",
"ZIIIZI",
"ZIZIII",
"IZIZII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-0.5,
-1,
0
] | 0.988988 | [
-0.004484549636475071,
-1.0690450112060856,
0.7328109886623114,
-1.0758900725224467,
0.8535075540902197,
-0.8007113399707768,
0.07221895186456898,
-0.520197576338447,
-0.671789822082748,
0.6519376481542358,
-0.8638708047021346,
0.2718423097134407,
-0.8220673049085121,
-0.492579786025785,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 32 |
a580428593ca2a54e0f078f27f8703fa | 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": 2, "source": 0, "target": 7}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 2, "source": 1, ... | {"states": [254, 127], "expectation_value": -1.12207835689232, "params": [[-0.057800000000000004, -0.0563], [0.060500000000000005, 0.066]], "bitstrings": ["00000001", "10000000"], "total_optimization_steps": 10, "probabilities": [0.006491949008276775, 0.006841326492703954], "optimization_time": 3.018399238586426} | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(7... | 1 | 8 | 2 | {"smallest_eigenvalues": [-8.25, -8.25, -8.25, -8.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000", "10001010", "10000010", "10011010"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7323893184553074) q[0];
h q[1];
ry(1.6021768552422677) q[1];
h q[2];
ry(0.8045778722749679) q[2];
h q[3];
ry(0.8154121842764465) q[3];
h q[4];
h q[5];
ry(0.8024040181420935) q[5];
cx q[1], q[5];
ry(-0.8024040181420935) q[5];
cx q[1], q[5];
cx q[5], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"IIIIIZZI",
"IIIIZIZI",
"ZIZIIIII",
"IIZIIIZI",
"IIZIZIII",
"IIIZZIII",
"IZIIZIII",
"IZZIIIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII"
] | [
-0.25,
-0.25,
0.5,
-0.25,
-1,
-0.25,
-0.5,
-1.25,
-1,
-1.25,
-0.5,
-1.25,
0.25,
-0.25,
0,
1.25,
0,
1.5,
0.25,
-3
] | 0.993954 | [
-1.6414614992998269,
1.6021768552422677,
1.604808036284187,
1.630824368552893,
1.6091557445499358,
1.4196572032246375,
-1.4647786369106148,
0.09519838854373029,
-0.21010186821471288,
0.22777370581489204,
-0.0839483296551511,
0.24515748303306414,
-0.07700521961837196
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 1 |
347cd23786ada5a7ec96f3799dd0d8dc | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [13, 77], "expectation_value": -2.45491120621826, "params": [0.8056000000000001, -0.0056, 0.061900000000000004, 0.27390000000000003, 0.3246, -0.26180000000000003, 0.8029000000000001, -0.031900000000000005, 0.8035, -0.0017000000000000001, 0.5255000000000001, 0.0011, 0.7978000000000001, 0.0023, 0.7971, -0.0675... | 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(4) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.0 * Z(2) + -0.5 * Z(3) + 0.0 * Z(4) + -0.5 * Z(6) + -0.5 * Z(5) | 4 | 7 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0110010"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.7996058083707251) q[0];
rz(-0.13258950846490603) q[0];
rx(-0.04589737538281516) q[1];
rz(0.1799801397254761) q[1];
rx(0.16186570142550433) q[2];
rz(0.3133290356743821) q[2];
rx(0.8227815263736653) q[3];
rz(0.05776948433549922) q[3];
rx(0.7161871771895253) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIZIIZI",
"ZIIIZII",
"IZIZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1,
-0.5,
0,
-0.5,
-0.5
] | 0.971014 | [
0.7996058083707254,
0.006182936667641672,
-0.04589737538281516,
0.22768974747763632,
0.16186570142550433,
0.396073894945569,
0.8227815263736652,
0.013998181878018726,
0.7161871771895254,
0.15083729154297,
0.03143464359904234,
0.3059757219065661,
0.640600425668681,
0.1741861116929011,
0.3... | {
"n_parameters": 79,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 8 |
8b0c84408b94941ace9bd7196ec38318 | 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": 7}, {"source": 1, "target": 7}, {"source": 2, "target": 5}, {"source": 2, "target": 7}, {"source": 3, "ta... | {"states": [186, 122], "expectation_value": -2.9919590763611223, "params": [0.5877, 0.2753, 0.5900000000000001, 0.3488, 0.6051000000000001, -0.0108, 0.6104, 0.0007, 0.6076, 0.0032, 0.1464, 0.21580000000000002, 0.6017, 0.0329, -0.0059, 0.3468, 0.5677, 0.3123, 0.5828, 0.3771, 0.6047, 0.0422, 0.6073000000000001, 0.0009000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + -0.5 * Z(1) + -0.5 * Z(0) + -2.0 * Z(7) + -0.5 * Z(2) + -0.5 * Z(5) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(6) | 3 | 8 | 3 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["10000101", "01000101"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.7617806230062734) q[0];
rz(1.4701925643050204) q[0];
rx(1.3234224118851317) q[1];
rz(0.6576256372414573) q[1];
rx(0.7829320878601034) q[2];
rz(0.3125647031020571) q[2];
rx(0.740758671702772) q[3];
rz(-0.08867655270613728) q[3];
rx(1.1542351611994428) q[4];
rz(0.227... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"IIZIIZII",
"IIZIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIZII",
"IIZIIIII",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-2,
-0.5,
-0.5,
0,
0,
0
] | 0.973488 | [
0.7617806230062735,
0.9447688602545041,
1.3234224118851317,
0.6209829206082669,
0.7829320878601035,
0.19595271147252386,
0.740758671702772,
-0.185147614674903,
1.1542351611994426,
0.31024536676408887,
-0.029788855610879676,
0.06853449328809759,
0.7665122702510742,
-0.20024515580909777,
0... | {
"n_parameters": 64,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 24 |
d73d59d8534bb2db64056b6b376ab049 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, ... | {"states": [254, 127], "expectation_value": -5.913880455426702, "params": null, "bitstrings": ["00000001", "10000000"], "total_optimization_steps": 94, "probabilities": [0.10228472684526303, 0.6377089454731641], "optimization_time": 154.30047941207886} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(2)) + 1.0 * (Z(7) @ Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.005064912194396915) q[0];
h q[1];
h q[2];
ry(0.9589973018286959) q[2];
h q[3];
ry(0.7378068905099483) q[3];
h q[4];
ry(0.7863653826074786) q[4];
cx q[1], q[4];
ry(-0.7863653826074786) q[4];
cx q[1], q[4];
ry(0.615145956876229) q[1];
cx q[4], q[1];
ry(-0.615... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5486) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... | [
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIIZZI",
"IIIZIZII",
"IIIZZIII",
"IIIZIIZI",
"IIZIIZII",
"IIZIZIII",
"IIZIIIZI",
"IIZZIIII",
"IZIIIIZI",
"IZZIIIII",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-1,
-0.25,
-0.5,
-1,
-0.5,
-1,
-0.25,
-0.5,
1,
-0.5,
-0.25,
-0.25,
0,
0.25,
0.5,
0,
-0.25,
0
] | 0.964081 | [
1.5727307652149571,
1.230291913752458,
1.37517991160965,
0.01012982438879383,
1.1582819451599344,
1.4756137810198966,
1.9179946036573918,
0.08411732952884575,
-1.5908435587309175,
0.32570684555070145,
-1.2157163442926513,
0.9603941445078414,
-0.34705473550456495,
-0.11276548911115365,
1.... | {
"n_parameters": 53,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 500 |
246a0a9432d2ab98c79e89b997f68978 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 11}, {"capacity": 4, "source":... | {"states": [2047, 1983], "expectation_value": -18.44781014273197, "params": [[[-0.017, -1.597], [-0.0019, 0.0132], [-0.0008, 0.0027], [0.0031000000000000003, 0.0026000000000000003], [0.0032, 0.0027], [-0.8402000000000001, -0.0023], [0.0045000000000000005, 0.004], [0.0035, -0.0026000000000000003], [0.0031000000000000003... | -0.75 * (Z(0) @ Z(5)) + 1.0 * (Z(3) @ Z(0)) + -0.75 * (Z(11) @ Z(3)) + -1.0 * (Z(1) @ Z(11)) + -0.25 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(8) @ Z(3)) + -1.25 * (Z(8) @ Z(11)) + -0.25 * (Z(8) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(11)) + -1.25 * (Z(7) @ Z(8)) + -0.5 * (Z(... | 15 | 12 | 3 | {"smallest_eigenvalues": [-20.0, -20.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -19.0, "smallest_bitstrings": ["100001000000", "100001100000"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-1.6306980038312227) q[0];
ry(0.0029707983792498505) q[1];
ry(-0.04811091757199899) q[2];
ry(-0.022515875893687993) q[3];
ry(-0.16989326758758388) q[4];
ry(1.436788623777318) q[5];
ry(-0.014064884694100895) q[6];
ry(-0.10884933405089237) q[7];
ry(0.0264405239582171)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIZ",
"IIIIIIIIZIIZ",
"ZIIIIIIIZIII",
"ZIIIIIIIIIZI",
"IIIIIIZIIZII",
"IIIIIIIIIZZI",
"IIIIIIIZIZII",
"IIIZIIIIZIII",
"ZIIZIIIIIIII",
"IIIZIIIZIIII",
"IIIIZIIIZIII",
"ZIIIZIIIIIII",
"IIIZZIIIIIII",
"IIZIIIZIIIII",
"IIZIIIIIZIII",
"IIZIIIIIIZII",
"IIZZIIIIIIII",
"IIZIZIIII... | [
-0.75,
1,
-0.75,
-1,
-0.25,
-1,
-0.5,
-0.25,
-1.25,
-0.25,
-1,
-0.75,
-1.25,
-0.5,
-0.5,
-0.25,
-1.5,
-2,
-0.75,
-0.25,
-1,
-0.25,
-1,
-1,
-1,
-0.25,
-1.5,
0.75,
0.5,
1.25,
-0.25,
-0.75,
0,
1,
2.25,
-2
] | 0.971089 | [
-1.6306980038312227,
0.0029707983792498505,
-0.04811091757199899,
-0.022515875893687993,
-0.16989326758758388,
1.436788623777318,
-0.014064884694100895,
-0.10884933405089237,
0.0264405239582171,
0.01729536675631916,
0.06287837258921417,
0.04609674428559617,
0.012726758034503176,
-0.0799186... | {
"n_parameters": 65,
"n_qubits": 12,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 62 |
641715d728359ee981d7a3543c5c30a4 | 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": 8}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 5}, {"capac... | {"states": [512, 511], "expectation_value": -8.718933542694113, "params": [[[0.0056, 0.0106], [-0.0055000000000000005, 0.005200000000000001], [-0.002, -0.0027], [-0.0008, -0.0022], [-0.0018000000000000002, 0.0023], [0.0019, -0.0025], [-0.1323, -0.003], [0.0012000000000000001, 0.0028], [1.1311, -0.0234], [-0.2529, -0.01... | -0.5 * (Z(0) @ Z(8)) + -0.75 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(8)) + -1.25 * (Z(5) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(2)) + 0.75 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(2)) + -0.5 * (Z(9) @ Z(5)) + -0.75 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @... | 15 | 10 | 3 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.25, "smallest_bitstrings": ["1000000000", "1000100000"], "largest_eigenvalue": 9.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.23303156752093054) q[0];
ry(0.041623128237904844) q[1];
ry(0.03109179038798683) q[2];
ry(0.013307819052873884) q[3];
ry(-0.07247950085337407) q[4];
ry(0.0880123982979336) q[5];
ry(0.07224784941901886) q[6];
ry(-0.001686252040885152) q[7];
ry(-0.9967155638341587) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IZIIIIIIIZ",
"IIIIIIIZZI",
"IZIIZIIIII",
"IIIIZIIIZI",
"IIIIIIZZII",
"IIIIIZIZII",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"ZIIIZIIIII",
"IZZIIIIIII",
"IIZIIIIZII",
"IIZIIIIIZI",
"IIZIZIIIII",
"IIZIIIZIII",
"IIZIIZIIII",
"IIIZIIZIII",
"ZIIZIIIIII",
"IZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIZII"... | [
-0.5,
-0.75,
-0.5,
-1.25,
-0.5,
-0.5,
0.75,
-0.25,
-0.5,
-0.75,
-0.25,
-0.25,
-0.75,
-0.5,
-0.75,
-0.5,
-0.5,
0.25,
-0.25,
0.25,
0.75,
0.5,
-0.5,
-1.25,
-0.5,
-0.25,
1
] | 0.971421 | [
-0.23303156752093054,
0.041623128237904844,
0.03109179038798683,
0.013307819052873884,
-0.07247950085337407,
0.0880123982979336,
0.07224784941901886,
-0.001686252040885152,
-0.9967155638341587,
0.11941505612111912,
0.2850209726338214,
-0.020392237316460664,
-0.03304656930069785,
0.02534555... | {
"n_parameters": 65,
"n_qubits": 10,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 58 |
159cd19d829ee4ab847c9545b38e61cb | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, ... | {"states": [11, 88], "expectation_value": -0.21807352543283012, "params": [[-0.0674], [0.0655]], "bitstrings": ["1110100", "0100111"], "total_optimization_steps": 10, "probabilities": [0.008727127344714083, 0.008737896632022383], "optimization_time": 1.4952378273010254} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(4) + -1.5 * Z(6) + -1.0 * Z(2) + -0.5 * Z(5) + 0.0 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0110101", "1010101", "0100111", "1110100"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.5023422340445511) q[0];
ry(-0.1078429799343566) q[1];
rz(-pi) q[1];
h q[2];
ry(-0.4881456839634753) q[2];
h q[3];
ry(1.5290680296283448) q[3];
rz(-pi) q[4];
ry(-0.020911826634736206) q[4];
h q[5];
cx q[5], q[2];
ry(0.4881456839634753) q[2];
cx q[5], q[2];
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[0], q[4];
rz(x0) q[4];
cx q[0], q[4]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZZI",
"ZIIIZII",
"IZZIIII",
"IZIIZII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IZIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1.5,
-1,
-0.5,
0
] | 0.995232 | [
-1.60784788215442,
-1.6238057458678041,
-1.3844327741504878,
1.5290680296283448,
1.5023422340445511,
-0.9762913679269506,
0.6568418144021216,
-0.4563619175761679,
0.6837342847004768,
-0.30196362952333927,
0.2802325564006584,
-0.06699568295955809,
-0.15704114542010444,
0.15024319719377785,
... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
-6953652742678614540 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[9, 6], [0, 2], [0, 4], [1, 2], [10, 3], [8, 5], [11, 7], [12, 4]]} | {"states": [3952, 1904], "expectation_value": -0.3757555966394489, "params": [0.6295000000000001, 0.6255000000000001, 0.6937, 0.6822, 0.9233, 0.9236000000000001, 0.9472, 0.9475, 0.9587, 0.9580000000000001, 0.6286, 0.6358, 0.9616, 0.9537, 0.9211, 0.9236000000000001, 0.9545, 0.9448000000000001, 0.6216, 0.6193000000000001... | 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(10) @ Z(3)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(11) @ Z(7)) + 0.5 * (Z(12) @ Z(4)) + 0.0 * Z(6) + 0.0 * Z(9) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(10) + 0.0 * Z(5) + 0.0 * Z(8) + 0.0 * Z(7)... | 13 | 13 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 32, "first_excited_energy": -3.0, "smallest_bitstrings": ["00101000... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(-0.035667730519614846) q[0];
rz(-0.12879293660288849) q[0];
ry(0.5198694633567983) q[1];
ry(2.158260099200286) q[2];
ry(0.9944294052382262) q[3];
ry(2.3571625531312197) q[4];
ry(-0.1343828718128249) q[5];
ry(1.8281301166822645) q[6];
ry(1.8665514648264316) 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": []} | [
"IIIZIIZIIIIII",
"IIIIIIIIIIZIZ",
"IIIIIIIIZIIIZ",
"IIIIIIIIIIZZI",
"IIZIIIIIIZIII",
"IIIIZIIZIIIII",
"IZIIIZIIIIIII",
"ZIIIIIIIZIIII",
"IIIIIIZIIIIII",
"IIIZIIIIIIIII",
"IIIIIIIIIIZII",
"IIIIIIIIIIIIZ",
"IIIIIIIIZIIII",
"IIIIIIIIIIIZI",
"IIIIIIIIIZIII",
"IIZIIIIIIIIII",
"IIIIIIIZIII... | [
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
] | 0.971314 | [
-0.035667730519614846,
0.5198694633567983,
2.158260099200286,
0.9944294052382262,
2.3571625531312197,
-0.1343828718128249,
1.8281301166822645,
1.8665514648264316,
1.7470690182964999,
-0.2345430368891542,
-0.11483666615386884,
0.018006217679641695,
0.2971043373516602,
-0.25758587320577697,
... | {
"n_parameters": 48,
"n_qubits": 13,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 48 |
69f8cd3d82c8c8a705ea1003fa425ab5 | 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": 4, "target": 7},... | {"states": [1974, 2046], "expectation_value": -15.099738186957493, "params": null, "bitstrings": ["00001001001", "00000000001"], "total_optimization_steps": 100, "probabilities": [0.09720351162934733, 0.23997865381050254], "optimization_time": 293.5164051055908} | -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];
... | null | {"node": 11} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[7], q[9];\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[... | [
"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 |
b870bf177a3da6a6ab4722ca2196f1d4 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [104, 42], "expectation_value": -0.08471560169810297, "params": [[0.0378], [-0.025500000000000002]], "bitstrings": ["0010111", "1010101"], "total_optimization_steps": 10, "probabilities": [0.00804030776433247, 0.008070367920226359], "optimization_time": 1.7379331588745117} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + -2.5 * Z(4) + -0.5 * Z(0) + -1.0 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["1010101", "0010111"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.13979582898122853) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.13979582898122853) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(0.13979582898122853) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(0.1397958... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(x0)... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IZZIIII",
"IZIIIIZ",
"IIZIIZI",
"IIZIZII",
"IZIIZII",
"IIIIZZI",
"ZIZIIII",
"ZIIIIZI",
"ZIIIZII",
"IIZZIII",
"IIIZZII",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-0.5,
-1,
-1,
-2,
-1.5,
-1
] | 0.970674 | [
0.13979582898122853,
0.5451974851045387,
0.896311297188517,
-0.7414798324997988,
0.5352231120965443,
0.15835998395847423,
0.19561446837986352,
-0.10248641959100045,
1.145938659979391,
0.49965126800794935,
-0.9225964103626579,
0.7782952451572615,
1.5157746098993041,
1.5283742643698681
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 51 |
336dab1a0f29cbb797a483d443b63b25 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 4, "target": 5}, ... | {"states": [68, 69], "expectation_value": -2.348692147402082, "params": [0.8056000000000001, 0.032, 0.8021, 0.0058000000000000005, 0.2922, 0.4329, 0.29510000000000003, 0.0036000000000000003, 0.0019, 0.5338, 0.0018000000000000002, 0.005200000000000001, 0.0027, -0.5875, 0.0027, 0.0019, 0.8081, 0.0037, 0.8041, 0.0, 0.0028... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(2) @ Z(4)) + -0.25 * (Z(0) @ Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(4)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(5) @ Z(3) @ Z(4)) + -0.125 * (Z(3) @ Z(6) ... | 7 | 7 | 1 | {"smallest_eigenvalues": [-3.875], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.875, "smallest_bitstrings": ["0111010"], "largest_eigenvalue": 6.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.6473969236370147) q[0];
rz(0.35215528043695477) q[0];
rx(-0.013008556206086708) q[1];
rz(0.19332891221718235) q[1];
cx q[1], q[0];
rz(-0.1531385207380293) q[0];
cx q[1], q[0];
rx(1.4495710349674074) q[0];
rz(0.07118326740233222) q[0];
rx(0.11925075285288905) 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": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIIZ",
"IIZIZII",
"IIZIZIZ",
"IIZZIII",
"IZIZIII",
"ZIIZIII",
"IZZIIII",
"ZIZIIII",
"ZZIIIII",
"IZZZIII",
"ZIZZIII",
"ZZIZIII",
"ZZZIIII",
"ZZZZIII",
"ZIIIIZI",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
-0.25,
-0.5,
-0.75,
-0.625,
0.125,
-0.625,
-0.125
] | 0.979379 | [
1.6473969236370147,
0.19901675969892568,
-0.013008556206086708,
0.19332891221718235,
0.36220551318406324,
0.3524502787744437,
0.05250514135166462,
-0.7512975575418178,
1.589520017552449,
0.030318796956053686,
0.23214023497988873,
-0.12974989725462044,
1.3485093281983127,
0.2263981211125346... | {
"n_parameters": 30,
"n_qubits": 7,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 15 |
20a8103f07dd8a24047f028e6edcf2b9 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 14, "source": 1, "target": 3}, {"weight": 14, "source": 1, "target": 4}, {... | {"states": [107, 122], "expectation_value": -41.39690867715534, "params": null, "bitstrings": ["10010100", "10000101"], "total_optimization_steps": 100, "probabilities": [0.12014193001474291, 0.194657655874236], "optimization_time": 155.80890703201294} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-67.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 161.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.2272642165478831) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.2272642165478831) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.2272642165478831) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(-0.2272642165478831) q[3];
cx q[2], q[3]... | null | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(0.1246) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIZII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11.5,
12,
15,
19,
15.5,
6,
13.5,
9
] | 0.977575 | [
-0.2272642165478831,
0.24690528235963702,
-1.616083881978433,
0.017740733314421664,
-0.14747982232849638,
0.3724409492159851,
-0.3700067438537054,
-0.3747534950486415,
-1.2525943523608623,
0.1296028652764544,
0.2611058491705527,
0.6338612826613662,
0.30862829146170234,
0.9608679921026143,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -67.5,
"target_ratio": 0.97,
"target_value": -65.475
} | 95 |
d55d504e597705d8581d37ec0d2e41ca | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 1, "target": 6... | {"states": [45, 63], "expectation_value": -4.247536484564604, "params": null, "bitstrings": ["1010010", "1000000"], "total_optimization_steps": 53, "probabilities": [0.2457050176544659, 0.7519615756918091], "optimization_time": 53.716283321380615} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(5)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + 0.75 * Z(1) + -0.25 * Z(0) + -0.5 * Z(6) + -0.5 * Z(5) + -0.5 * Z(2) + 0.75 * Z(3) + 0.25 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["1000000", "1010010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6828792687147329) q[0];
h q[1];
ry(1.5288445153467216) q[1];
h q[2];
h q[3];
ry(1.5288445153467216) q[3];
h q[4];
ry(1.4916621282624816) q[4];
h q[5];
ry(0.7458310641312408) q[5];
cx q[2], q[5];
ry(-0.7458310641312408) q[5];
cx q[2], q[5];
ry(0.59828678975... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5486) 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",
"ZIIIIZI",
"ZIIIIIZ",
"IZIIIZI",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"ZIZIIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"ZIIIIII",
"IZIIIII",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
-0.25,
-0.75,
0.5,
-0.5,
-1,
-0.5,
-0.25,
-0.25,
-0.25,
0.75,
-0.25,
-0.5,
-0.5,
-0.5,
0.75,
0.25
] | 0.989602 | [
1.5288445153467216,
1.4916621282624816,
1.550097850061895,
-1.3657585374294658,
1.196573579508862,
0.11369926623801563,
-0.014047065055423413,
0.09207660432302629,
-0.10038361002430576,
0.08382100900060677,
0.15687837360702134,
-0.10724578865064746,
0.0600104112675679,
0.05940034969983188,... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 1 |
3046805216722479094 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 6], [2, 6], [2, 3], [3, 5], [0, 1], [6, 7], [5, 7], [3, 4], [0, 2], [0, 3], [1, 5], [1, 3], [4, 5], [3, 6], [2, 5], [0, 5], [1, 6], [2, 4]]} | {"states": [113, 142], "expectation_value": -0.1285744977178339, "params": [[0.0653], [-0.056100000000000004]], "bitstrings": ["10001110", "01110001"], "total_optimization_steps": 10, "probabilities": [0.004377118183167751, 0.004377118183167751], "optimization_time": 2.424577236175537} | 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -3.0, "smallest_bitstrings": ["11101001", "10000110", "01111001", "10010110", "00010110", "10001110", "01101001", "01110001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7738281553505169) q[0];
h q[1];
ry(0.7548458470611412) q[1];
ry(-3.062675757559924) q[2];
rz(-pi) q[2];
h q[3];
h q[4];
ry(0.7948166752166657) q[4];
h q[5];
ry(-0.146710193036407) q[5];
cx q[3], q[5];
ry(0.146710193036407) q[5];
cx q[3], q[5];
ry(-0.363764... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[6], q[4];
rz(x0) q[4];
cx q[6], q[4];
cx q[6], q[2];
rz(x0) q[2];
cx q[6], q[2];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[6]... | null | {"circuits": [], "gradients": []} | [
"IZIZIIII",
"IZIIIZII",
"IIIZIZII",
"IZIIZIII",
"IIIZZIII",
"IIIIZZII",
"IIZZIIII",
"IIZIIZII",
"IIZIZIII",
"IIIIIZIZ",
"IIIIZIIZ",
"IIZIIIIZ",
"IZIIIIZI",
"IIIIZIZI",
"IIZIIIZI",
"IIIIIIZZ",
"ZZIIIIII",
"ZIZIIIII",
"IZIIIIII",
"IIIZIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.979078 | [
-0.293420386072814,
1.3548648013991325,
1.5896333504333313,
-1.1855947184459545,
1.5096916941222824,
-0.7275292120324451,
1.3634838231102933,
-1.5476563107010337,
0.14919925192079528,
0.2567912153094686,
-0.024020423684554645,
0.12671046550247522,
-0.26934929288203463,
0.2221757020094925,
... | {
"n_parameters": 46,
"n_qubits": 8,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 21 |
43af0ee9b0afa5917f0305fa1169c908 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [1066, 1067], "expectation_value": -110.32728147821189, "params": [[1.288, 0.083, -0.13540000000000002, -0.0025, -0.13040000000000002, 1.0663, -0.0029000000000000002, 1.0498, 0.003, 1.1095000000000002, 0.49520000000000003], [0.5336000000000001, 0.07880000000000001, -0.30710000000000004, -0.0027, 0.1277, 1.06... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(2) @ Z(0)) + 8.0 * (Z(5) @ Z(1)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(7) @ Z(4)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(9) @ Z(1)) + 8.0 * (Z(9) @ Z(5)) + 8.0 * (Z(10) @ Z(0)) + 8.0 * (Z(10) @ Z(2)) + 16.0 * Z(0) + 12.5 * Z(1) + 0.5 * Z(2) + 17.5 * Z(5) + 4.0 * Z(4) + 6.0 * Z(7) + -6.5 * Z(8) + 6.5... | 10 | 11 | 2 | {"smallest_eigenvalues": [-119.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -115.5, "smallest_bitstrings": ["01111010100"], "largest_eigenvalue": 172.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.6307205744740472) q[0];
ry(-0.14813297089586475) q[1];
ry(-0.053523835182647896) q[2];
ry(-0.22558573881720784) q[3];
ry(-0.17226136193232955) q[4];
ry(1.31275256137793) q[5];
ry(0.08060114131743422) q[6];
ry(0.9649307612050311) q[7];
ry(-0.10935489220714789) q[8]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIZIIIZI",
"IIIIIZZIIII",
"IIIZIIZIIII",
"IIZZIIIIIII",
"IZIIIIIIIZI",
"IZIIIZIIIII",
"ZIIIIIIIIIZ",
"ZIIIIIIIZII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIIZII",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIIZIIIIIII",
"IIZIIIIIIII",
"IZIIIIIIIII",
"ZIIIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
16,
12.5,
0.5,
17.5,
4,
6,
-6.5,
6.5,
7,
-13.5,
-15.5
] | 0.970416 | [
1.6307205744740472,
-0.14813297089586475,
-0.053523835182647896,
-0.22558573881720784,
-0.17226136193232955,
1.31275256137793,
0.08060114131743422,
0.9649307612050311,
-0.10935489220714789,
1.1389953765196208,
0.9214984629652244,
0.04254213648600692,
0.08617082977177057,
-0.387898898544333... | {
"n_parameters": 30,
"n_qubits": 11,
"optimal_eigenvalue": -119.5,
"target_ratio": 0.97,
"target_value": -115.91499999999999
} | 22 |
5d474162f07dfb1b3248afb7c4b90a85 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, ... | {"states": [1, 3], "expectation_value": -26.5717984682544, "params": [0.0024000000000000002, 0.2611, 0.0604, 0.26380000000000003, 0.06330000000000001, 0.26580000000000004, 0.0608, 0.28500000000000003, 0.0354, 0.2859, 0.4811, 0.167, 0.49100000000000005, 0.1706, -0.0013000000000000002, 0.2636, 0.059800000000000006, 0.272... | 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)) + 2.75 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 2... | 3 | 7 | 4 | {"smallest_eigenvalues": [-30.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.75, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.33842977011630987) q[0];
rz(-0.1108368416663894) q[0];
rx(0.3147269537321503) q[1];
rz(0.4403416265327494) q[1];
rx(-0.051370858575326604) q[2];
rz(-0.22672638531976275) q[2];
rx(0.03931970306589702) q[3];
rz(0.9073276713830547) q[3];
rx(0.0661833452113321) 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[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
2.75,
3,
3,
2.75,
3,
2.75,
3,
3,
3,
3,
-10,
-10.5,
-10,
-10,
-10.25,
-9.5,
-9.25
] | 0.976782 | [
-0.33842977011630987,
-0.1108368416663894,
0.3147269537321503,
0.4403416265327494,
-0.051370858575326604,
-0.22672638531976275,
0.03931970306589702,
0.9073276713830547,
0.0661833452113321,
-0.5231724704730886,
2.88377300871935,
-1.119200286847717,
2.8464014046151784,
-0.7664925011163902
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -30.75,
"target_ratio": 0.97,
"target_value": -29.8275
} | 16 |
addce8ebbb7a38bf4f3d8f2e9c4914fc | 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": 0, "target": 4}, {"source": 1, "target": 2},... | {"states": [1981, 2044], "expectation_value": -17.802383292261197, "params": null, "bitstrings": ["00001000010", "00000000011"], "total_optimization_steps": 100, "probabilities": [0.06031700632670664, 0.459882586980611], "optimization_time": 269.0795397758484} | -2.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(4)) + -2.0 * (Z(5) @ Z(7)) + -2.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + 1.0 * (Z(6) @ Z(5)) + -2... | 1 | 11 | 1 | {"smallest_eigenvalues": [-26.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.0, "smallest_bitstrings": ["00000000011"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.1785433226287565) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.12831323354234778) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.12831323354234803) q[1];
rx(-1.0186870856521566) q[1];
rz(-1.1785433226287565) q[3];
cx q[0], q... | null | {"node": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[4], q[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[... | [
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIIIIZIIZ",
"IIIIIIZIZII",
"IIIIIIZIIIZ",
"IIIIIIZZIII",
"IIIIIIIIZZI",
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIIZIZIIIII",
"IIZZIIIIIII",
"IIZIIZIIIII",
"IIIZZIIIIII",
"IIIIZZIIIII",
"IIZIZIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIIZ",
"IIIIIIIZI... | [
-2.5,
0.5,
-2,
-2,
-2.5,
0.5,
-2,
1,
-2,
-2,
-2,
-2,
-2,
1,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.562328 | [
-1.1785433226287565,
-0.12831323354234778,
-0.7672845437774662,
-0.2023576392765123,
-0.25043439980825344,
-1.0186870856521566
] | {
"n_parameters": 6,
"n_qubits": 11,
"optimal_eigenvalue": -24,
"target_ratio": 0.97,
"target_value": -23.28
} | 180 |
71e5bb03712e194188f8d50f4c05cdf8 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 1, "target": 5}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [108, 60], "expectation_value": -3.499151798817949, "params": null, "bitstrings": ["0010011", "1000011"], "total_optimization_steps": 29, "probabilities": [0.06620831211809416, 0.9331798105249665], "optimization_time": 24.855368852615356} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(2) + -0.5 * Z(0) + -0.5 * Z(6) + -0.5 * Z(1) + -1.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000011", "0010011", "1100010"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.02416004962987343) q[0];
rz(0.6464253471396171) q[0];
ry(0.10916841186711712) q[1];
rz(-0.09003719706251745) q[1];
cz q[1], q[0];
ry(0.05188818090336937) q[0];
rz(0.3737247607235006) q[0];
ry(0.8200282107581987) q[1];
ry(1.0435735918085753) q[2];
rz(0.102623408307... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"ZIIIIIZ",
"ZIIIIZI",
"IZIIIZI",
"IZIZIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IZIIIII",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-0.5,
-0.5,
-0.5,
-1,
0,
0
] | 0.974585 | [
-0.02416004962987343,
0.6464253471396171,
0.10916841186711712,
-0.09003719706251745,
1.0435735918085753,
0.10262340830715515,
0.008916786375439203,
0.3403912361093418,
-0.14003445094820235,
0.6799870032696831,
0.15759830125959468,
-0.008518809284857834,
0.4100141053790994,
0.02910355617106... | {
"n_parameters": 46,
"n_qubits": 6,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 10 |
766ad5c893fdabef4db5a6d615ba911f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [94, 92], "expectation_value": -2.9735340647147948, "params": [-0.0026000000000000003, -0.0023, 1.1026, 1.1003, -0.0016, -0.004, 1.1099, 1.1079, 1.0984, 1.0965, 1.1022, 1.103, 0.6067, 0.4758, 0.0005, -0.0034000000000000002, -0.2711, -0.007, 0.7808, 0.1106, -0.0004, 0.5161, 0.2235, -0.0008, 0.0367, 0.779, 1.0... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(4)) + -0.125 * (Z(1) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(1) @ Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z... | 14 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["10100011", "10101001"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.016153868570687777) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.016153868570687777) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.016153868570687777) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.016153868570687777) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZIZI",
"IIIZIIZI",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIIIZZZI",
"IIIZIZZI",
"IIIZZIZI",
"IIIZZZII",
"IIIZZZZI",
"IIIIIIZZ",
"IIZIIIIZ",
"IZIIIIIZ",
"IIZIIIZI",
"IZIIIIZI",
"IZZIIIII",
"IIZIIIZZ",
"IZIIIIZZ",
"IZZIIIIZ",
"IZZIIIZI",
"IZZIIIZZ",
"IIZIZII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.625,
0.25,
-0.625,
0.125,
-0.125,
0.125,
-0.125,
-0.7... | 0.973841 | [
0.016153868570687777,
1.6531426914122864,
4.3596912682155935,
1.5899733302440615,
1.7283760072836996,
1.378270030858796,
-2.417983287278949,
1.460564283804654,
-1.7408143236471427,
-1.5136081997036865
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -78.5,
"target_ratio": 0.97,
"target_value": -76.145
} | 57 |
7b9c246532208479e16ead07d0fd9661 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}]} | {"states": [60855, 60795], "expectation_value": -14.761224899700355, "params": [[-0.19590000000000002], [0.3608]], "bitstrings": ["0001001001001000", "0001001010000100"], "total_optimization_steps": 40, "probabilities": [0.000974025177693677, 0.0009758480534154397], "optimization_time": 105.97923851013184} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(... | 1 | 16 | 1 | {"smallest_eigenvalues": [-20.000000000000043], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999975, "smallest_bitstrings": ["0001001010000100"], "largest_eigenvalue": 68.00000000000021} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(1.0361059844083795) q[0];
rz(0.2538864396112084) q[0];
rx(0.6189462132348078) q[1];
rz(-0.21762453154559475) q[1];
rx(0.6524000169646366) q[2];
rz(0.24446300716621922) q[2];
rx(-0.12421013628383518) q[3];
rz(0.2697688833504035) q[3];
rx(0.7337250473435663) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 3}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIIIIZI",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIIZ",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.25,
0.5,
0.25,
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,
0.5,
... | 0.971641 | [
1.0361059844083795,
0.04207048271458553,
0.6189462132348078,
-0.21762453154559475,
0.6524000169646366,
0.24446300716621922,
-0.12421013628383518,
0.2697688833504035,
0.7337250473435663,
0.10891100270157394,
0.9285896273892676,
0.30968646813099326,
0.08969789985041493,
0.30290502113283285,
... | {
"n_parameters": 183,
"n_qubits": 16,
"optimal_eigenvalue": -20.00000000000009,
"target_ratio": 0.97,
"target_value": -19.400000000000084
} | 24 |
33b2be145a0c62bacf2b1fe6560b3105 | 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": 8}, {"capacity": 1, "source": 0, "target": 10}, {"capacity": 2, "source": 1, "target"... | {"states": [0, 1021], "expectation_value": -14.280334361097538, "params": [[[0.0028, 0.8061], [0.3302, 0.0013000000000000002], [0.0025, 0.0066], [0.0024000000000000002, 0.0024000000000000002], [0.0051, 0.0024000000000000002], [0.003, 0.0032], [0.0028, 0.0029000000000000002], [0.0025, 0.002], [0.0029000000000000002, 0.0... | -0.5 * (Z(0) @ Z(9)) + 0.75 * (Z(2) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(8) @ Z(2)) + -0.5 * (Z(8) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(8)) + -0.25 * (Z(6) @ Z(8)) + -0.75 * (Z(6) @ Z(3)) + -0.5 * (Z(7) @ Z(9)) + -1.0 * (Z(7) @ Z(3)) + -1.25 * (Z(7) @ Z(6)) + -0.5 * (Z(4) @ Z(9)) + -1.25 * (Z(5) @... | 15 | 11 | 3 | {"smallest_eigenvalues": [-15.5, -15.5, -15.5, -15.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -14.5, "smallest_bitstrings": ["10000000010", "10001010010", "10001000010", "10000010010"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.06987577094227189) q[0];
ry(0.40069659118326334) q[1];
ry(0.048623234780414026) q[2];
ry(0.006145251819789629) q[3];
ry(-0.35788379466948106) q[4];
ry(0.014833433806324271) q[5];
ry(-0.06987577094227189) q[6];
ry(0.048623234780414026) q[7];
ry(0.06538101335083699... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IZIIIIIIIIZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIZIIIIIZII",
"IIZIIIIIIZI",
"IIIIIIIZZII",
"IIZIIIIZIII",
"IIZIZIIIIII",
"IIIIZIIZIII",
"IZIZIIIIIII",
"IIIZIIIZIII",
"IIIZZIIIIII",
"IZIIIIZIIII",
"IIIIIZIZIII",
"IIIZIZIIIII",
"IIIIIZZIIII",
"ZIIIIIIIZII",
"ZIIIIIIIIZI",
"ZIZIIIIII... | [
-0.5,
0.75,
-0.75,
-0.25,
-0.5,
-0.5,
-0.75,
-0.25,
-0.75,
-0.5,
-1,
-1.25,
-0.5,
-1.25,
-0.25,
-1,
-1,
-1,
-0.75,
-0.5,
-1.5,
-0.25,
-1.75,
0.25,
-1.5,
1.75,
-2.25,
1,
-0.5,
2.5,
2.25
] | 0.975819 | [
-0.06987577094227189,
0.40069659118326334,
0.048623234780414026,
0.006145251819789629,
-0.35788379466948106,
0.014833433806324271,
0.06538101335083699,
-0.058580516923166875,
0.16977209564440804,
1.239181331994335,
-0.052208310054220594,
-0.0420669583157945,
0.08847720098121456,
0.02835768... | {
"n_parameters": 45,
"n_qubits": 11,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 29 |
dddd2c6c503a97ade6b445e6815c4f85 | 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": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3... | {"states": [0, 1], "expectation_value": -15.317649427271, "params": [[[0.0036000000000000003, 0.4641], [-0.0027, 0.6059], [0.0028, 0.5962000000000001], [-0.0013000000000000002, -0.0825], [0.0027, 0.5957], [0.0024000000000000002, 0.5762], [0.8007000000000001, 0.0037]], [[0.0038, 0.0001], [-0.0027, 0.0066], [0.0028, 0.00... | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(1)) + 4.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -4.5 * Z(2) + -0.2... | 1 | 7 | 2 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.3835829982735985) q[0];
h q[1];
ry(-0.23054234387346784) q[2];
rz(-pi) q[2];
h q[3];
ry(-1.6609807137639119) q[3];
h q[4];
ry(-1.6609807137639119) q[4];
h q[5];
h q[6];
ry(1.5858095443127922) q[6];
cx q[6], q[0];
ry(0.3835829982735985) q[0];
cx q[6], q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IIIZIZI",
"IIZIIZI",
"IZIIZII",
"IZIZIII",
"IZIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"ZIIIIII"
] | [
-1.5,
-1,
-1,
-0.5,
-1.5,
-1,
-0.5,
-1.25,
-1.5,
-0.5,
-0.75,
4.25,
-0.25,
-4.5,
-0.25,
1,
-0.5,
0,
0.25,
4
] | 0.980551 | [
-1.4098882403195747,
1.5858095443127922,
-0.767165996547197,
-0.5539265111555969,
0.13926851479629185,
-0.11045327377191261,
-0.34994570639390055,
-1.6609807137639119,
-0.0033508676810675153,
-0.2813424644813915,
1.1199313195889984,
1.411419348927798,
-0.0019517279154879635,
0.706605540424... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -23,
"target_ratio": 0.97,
"target_value": -22.31
} | 23 |
4237845c232746c3e0d0cf50f5cff487 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 5}, {"weight": 19, "source": 0, "tar... | {"states": [252, 244], "expectation_value": -19.184666508176196, "params": [[-0.029900000000000003, 0.0024000000000000002], [0.061200000000000004, 0.0568]], "bitstrings": ["100000011", "100001011"], "total_optimization_steps": 10, "probabilities": [0.004663263379532331, 0.005781368816181526], "optimization_time": 3.679... | 4.5 * (Z(0) @ Z(3)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.5, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 169.5} | 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(-0.00651096302787409) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.00651096302787409) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(-0.00651096302787409) q[1];
cx q[0], q[1];
cx q[3], q[2];
rz(-0.00651096302787409) q[2];
cx q[3], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIZIIIZ",
"IIIIZIIZI",
"IIZIIZIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"ZIIIIZIII",
"ZIIIIIZII",
"ZIZIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
23,
13,
19,
15,
10,
14,
-2,
2,
8
] | 0.977914 | [
-0.00651096302787409,
-1.3030672953464548,
1.350121617930897,
-1.4606460853675483,
-1.755055254032435,
-1.346866722652734,
-1.4301833371395873,
1.2674560608490602,
1.750950960923734,
2.0766284104101964,
1.6707514667144105,
-0.4138703775094488,
0.44449792191987664,
-0.4200048714281165,
-2... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -82.5,
"target_ratio": 0.97,
"target_value": -80.02499999999999
} | 115 |
-4697006602347134861 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 5], [3, 5], [0, 6], [2, 6], [10, 2], [3, 12], [0, 10], [4, 6], [8, 1], [4, 7], [11, 3], [10, 5], [11, 6], [8, 4], [2, 7], [11, 4], [4, 12], [8, 3], [9, 6], [10, 12], [0, 11], [9, 10], [10, 3], [3, 6], [9, 12], [5, 6], [10, 4], [2, 11], [6, 7], [10... | {"states": [7978, 7976], "expectation_value": -7.176947816923791, "params": [[[2.5034, 0.0036000000000000003, 0.0064, 0.007500000000000001], [0.5334, 0.0031000000000000003, 1.2994, 0.0085], [2.4953000000000003, 0.0034000000000000002, 0.0017000000000000001, 0.0037], [0.0016, -0.3548, 1.5692000000000002, 0.00290000000000... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(10) @ Z(5)) + 0.5 * (Z(10) @ Z(0)) + 0.5 * (Z(10) @ Z(3)) + 0.5 * (Z(10) @ Z(6)) + 0.5 * (Z(10) @ Z(2)) + 0.5 * (Z(12) @ Z(0)) + 0.5 * (Z(12) @ Z(3)) + 0.5 * (Z(12) @ Z(10)) + 0.5... | 12 | 13 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["0100011010111", "1011100101000", "0000011010111", "1111100101000"], "largest_eigenvalue": 24.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(3.0484429511190196) q[0];
rz(0.1733511661340481) q[0];
ry(0.4450203773215031) q[1];
rz(0.05153730174916461) q[1];
cz q[1], q[0];
ry(-2.8540434355176236) q[1];
ry(2.77229669620423) q[2];
rz(-0.11818579252748637) q[2];
ry(0.10110403394470484) q[3];
rz(-0.4010310659801... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IIIIIIIZIIIIZ",
"IIIIIIIZIZIII",
"IIIIIIZZIIIII",
"IIIIIIZIIIIIZ",
"IIIIIIZIIZIII",
"IIIIIIZIIIZII",
"IIZIIIIZIIIII",
"IIZIIIIIIIIIZ",
"IIZIIIIIIZIII",
"IIZIIIZIIIIII",
"IIZIIIIIIIZII",
"ZIIIIIIIIIIIZ",
"ZIIIIIIIIZIII",
"ZIZIIIIIIIIII",
"IIIIIIIZZIIII",
"IIIIIIIIZIIIZ",
"IIIIIIZIZII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0... | 0.973099 | [
3.0484429511190196,
0.1733511661340481,
0.4450203773215031,
0.05153730174916461,
2.77229669620423,
-0.11818579252748637,
0.10110403394470484,
-0.40103106598014493,
3.0193704996841118,
-0.0021433208671090068,
1.7842373977355488,
0.027575813720110323,
-0.06768099913374034,
0.2309518614493697... | {
"n_parameters": 35,
"n_qubits": 13,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 13 |
64af4c2b79332f45cc93f4adbc07969b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [40, 56], "expectation_value": -2.2819306839121376, "params": [[[0.5466, 0.1267], [0.8106, 0.0009000000000000001], [0.8072, 0.0025], [0.8062, 0.0008], [-0.0021000000000000003, -0.0047], [0.004, 0.2645], [0.0019, 0.5902000000000001]], [[0.5467000000000001, 0.0053], [0.8063, 0.0071], [0.8055, 0.001300000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(1) @ Z(3) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.875], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.875, "smallest_bitstrings": ["1000111"], "largest_eigenvalue": 6.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.25338627450980583) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.25338627450980583) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.9473661220913092) q[1];
rx(-0.2080075969347992) q[1];
rz(-0.25338627450980583) q[3];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IIIZIZI",
"IIZIIZI",
"IZIIIZI",
"IIZZIII",
"IZIZIII",
"IZZIIII",
"IIZZIZI",
"IZIZIZI",
"IZZIIZI",
"IZZZIII",
"IZZZIZI",
"ZIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
-0.25,
0.125,
-0.25,
-0.125,
-0.625,
-0.625,
-1
] | 0.970986 | [
-0.25338627450980583,
0.9473661220913083,
-0.9337401987869697,
0.3531371851195526,
-0.5804148754389825,
-0.2080075969347992,
0.17985523282227697,
0.325923884646385,
-0.24865337180145192,
0.8217671501540741,
0.8735651033300764,
0.040642181543637954,
0.4716806334505762,
-0.310381831459071,
... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 36 |
f2268dbc2cd9e9d8be6517cd34bc9399 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 3}]} | {"states": [255, 239], "expectation_value": -19.035933015393834, "params": [[0.08360000000000001, -0.002, -0.0211], [-0.1544, -0.1521, -0.13970000000000002]], "bitstrings": ["00000000", "00010000"], "total_optimization_steps": 20, "probabilities": [0.046187312066916286, 0.04709126522619257], "optimization_time": 5.3401... | 0.5 * (Z(4) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(4)) + 1.5 * (Z(7) @ Z(5)) + 1.5 * (Z(7) @ Z(4)) + 3.0 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(1) @ Z(4)) + 0.8333333333333334 * (Z(1) @ Z(0)) + 1.0 * (Z(2) @ Z(4)) + 0.8333333333333334 * (Z(2) @ Z(0)) + 1.6666666666666667 * (Z(2) @ Z(1)) + 3.5 * Z(5) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-26.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.000000000000004, "smallest_bitstrings": ["00010000"], "largest_eigenvalue": 54.83333333333333} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.08466080018590566) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.4712491131715458) q[1];
cx q[2], q[1];
rz(0.6656506840572414) q[2];
rx(1.5126955950453878) q[2];
h q[3];
cx q[0], q[3];
rz(-0.04495793256312783) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IIZZIIII",
"IZZIIIII",
"IZIZIIII",
"ZIZIIIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIZIIIZ",
"IIIZIIZI",
"IIIIIIZZ",
"IIIZIZII",
"IIIIIZIZ",
"IIIIIZZI",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII"
] | [
0.5,
1,
1,
1.5,
1.5,
3,
0.5,
1,
0.8333333333333334,
1,
0.8333333333333334,
1.6666666666666667,
3.5,
6.5,
7,
10.5,
2.5833333333333335,
5.166666666666667,
5.166666666666667,
-0.08333333333333333
] | 0.564109 | [
0.08466080018590566,
-0.04495793256312783,
0.4712491131715458,
0.6656506840572409,
-1.5403474266364232,
-1.5490134012367487,
1.5126955950453878
] | {
"n_parameters": 7,
"n_qubits": 4,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 191 |
42fc1cab65130010b16c5206f9faaa99 | 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": [37, 7], "expectation_value": -22.048378033372657, "params": null, "bitstrings": ["11011010", "11111000"], "total_optimization_steps": 92, "probabilities": [0.07807308879076097, 0.6009750956398249], "optimization_time": 226.61440300941467} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 6 | 8 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.020585712478965273) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.020585712478965273) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.020585712478965273) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.020585712478965273) q[3];
cx q[1], ... | null | {"k": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.197) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"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,
2.75,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
2.75,
-7.25,
-7,
-7.5,
-7,
-7,
-6.25,
-6.5,
-6.5
] | 0.972491 | [
0.020585712478965273,
-0.10740732213659304,
0.9806179744216011,
1.2066222500302057,
0.807373465491872,
-0.7383480177614887,
-0.583309434460934,
1.229770317245662,
0.029731332749984192,
-0.4028832613860345,
-0.11890009039048421,
0.19530480659012922,
0.3300174811368061,
-0.05473954150926055,... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 85 |
93141c357d164fcf2a36ba666f8f01e3 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}]} | {"states": [1, 8], "expectation_value": -1.892719003950742, "params": [[-0.018000000000000002, 0.011300000000000001, 0.0367, 0.07050000000000001], [0.0318, 0.010100000000000001, -0.0207, -0.043000000000000003]], "bitstrings": ["1110", "0111"], "total_optimization_steps": 10, "probabilities": [0.077205775978904, 0.07720... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + -4.75 * Z(1) + -4.5 * Z(0) + -4.75 * Z(2) + -4.5 * Z(3) | 10 | 4 | 4 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1110", "0111"], "largest_eigenvalue": 29.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1714898456555271) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.1714898456555271) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1714898456555271) q[1];
cx q[1], q[0];
rz(-0.24938667349607663) q[0];
cx q[1], q[0];
cx q[2], q[1];
h q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
1.75,
-4.75,
-4.5,
-4.75,
-4.5
] | 0.525188 | [
0.1714898456555271,
-0.24938667349607663,
1.1176635259891476,
0.8103834446690221,
-0.7718739166458187
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 163 |
0897b31d9a82279b7ba3c27721e1c7dd | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [1365, 1397], "expectation_value": -2.8647502025558604, "params": [[[0.2539, -0.003], [-0.0189, 0.0038], [1.1175000000000002, -0.139], [0.0417, -0.1573], [0.5740000000000001, 0.5875], [0.6951, 0.6136], [0.4047, 0.6809000000000001], [0.1565, 0.7258], [-0.1341, 1.2432], [1.1626, 0.5644], [0.0935, 0.3549]], [[1... | 0.5 * (Z(0) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(2) @ Z(5)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(6) @ Z(4)) + 0.0625 * (Z(6) @ Z(5)) + -0.0625 * (Z(2) @ Z(3) @ Z(4)) + -0.0625 * (Z(2)... | 15 | 11 | 3 | {"smallest_eigenvalues": [-3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125], "number_of_smallest_eigenvalues": 26, "first_excited_energy... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-3.116952552672873) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.506937155918549) q[1];
ry(-0.04835348819428048) q[2];
rz(-pi) q[2];
ry(-0.04835348819428048) q[3];
rz(-pi) q[3];
ry(-0.04835348819428048) q[4];
rz(-pi) q[4];
h q[5];
ry(1.4591992826168048) q[5];
cx q[5], q[2];
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": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIZIIZII",
"IIIIZIIIZII",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIZIIZIII",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIIZZZII",
"IIIIIZIZZII",
"IIIIZIIZZII",
"IIIIIZZIZII",
"IIIIZIZIZII",
"IIIIZZIIZII",
"IIIIIZZZIII",
"IIIIZIZZI... | [
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.25,
0.25,
0.25,
-0.25,
0.25,... | 0.996009 | [
-1.506937155918549,
-1.4324166492555206,
1.4591992826168048,
-0.18005237869019097,
0.1739138865223437,
0.08512248384985079,
0.12820374576614546,
-0.02175841391827514,
0.04692024382718294,
0.10197694986490853
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
8240d270e1f37a3673de3ab3e8c44939 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 9}, {"source": 1, "target": 5}, {"source": 2, "target":... | {"states": [326, 334], "expectation_value": -5.509611484563176, "params": [[[-0.0025, 0.0095, 0.0041, 0.0017000000000000001], [1.114, 0.0026000000000000003, 1.0099, 0.006], [0.0025, 0.0041, 0.004, 0.007500000000000001], [1.0458, 0.0023, 1.0517, 0.0039000000000000003], [0.0026000000000000003, 0.005200000000000001, 0.0, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(6) @ Z(9)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(9) + ... | 12 | 10 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["1110100001", "0111000011", "1010110001", "0111100001"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.015019535602308367) q[0];
rz(-0.06677017684284367) q[0];
ry(1.203254720628483) q[1];
rz(0.008351304526950515) q[1];
cz q[1], q[0];
ry(2.4533468805931395) q[1];
ry(0.0044217345306329855) q[2];
rz(-0.23849256395801127) q[2];
ry(0.8772929425412594) q[3];
rz(0.1789972... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIIZ",
"ZIIIIIIIIZ",
"IIIIZIIIZI",
"IIIIZIIZII",
"IIIIIZZIII",
"IIIIIZIZII",
"ZZIIIIIIII",
"IZIIIIIZII",
"IZIIIZIIII",
"IIZIIIIZII",
"ZIIZIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"ZIIIIIIIII",
"IIIIZIIIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IZIIIIIIII"... | [
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,
-0.5,
-1.5,
-1,
-1,
0,
0
] | 0.97549 | [
0.015019535602308367,
-0.06677017684284367,
1.203254720628483,
0.008351304526950515,
0.0044217345306329855,
-0.23849256395801127,
0.8772929425412594,
0.17899721874300828,
0.39473743146341606,
0.30302204874418015,
1.5033104664565835,
2.6828158419587393,
-0.10490207702434294,
0.1069985935719... | {
"n_parameters": 27,
"n_qubits": 10,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 10 |
5933431308004300537 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 3, 4], [0, 3, 4, 6, 7], [3, 5, 7], [0, 2, 3, 6], [0, 2, 5], [0, 1, 4]]} | {"states": [156, 158], "expectation_value": -1.7285797095561182, "params": [1.9624000000000001, 0.0027, 1.1783000000000001, 0.0044, 0.09480000000000001, -1.0501, 0.0955, 0.0004, 0.1323, 1.0148000000000001, 0.1414, 0.0074, 1.9681000000000002, 0.5058, 1.173, 0.003, 1.5769, 0.0027, 1.5714000000000001, 0.0038, 1.5772000000... | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.21666666666666667 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.13333333333333333 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.21666666666666667 * (Z(0) @ Z(4)) + 0.13333333333333333 * (Z(6) @ Z(3)) + 0.05 * (Z(6) @ Z(4)) + 0.13333333333333333 * (Z(6) @ Z(... | 7 | 8 | 1 | {"smallest_eigenvalues": [-1.7833333333333337], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7833333333333332, "smallest_bitstrings": ["01100001"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.9071154932345546) q[0];
rz(-0.6393326975606519) q[0];
rx(0.09251541774149795) q[1];
rz(-0.9799295409784119) q[1];
cx q[1], q[0];
rz(0.6001295487718397) q[0];
cx q[1], q[0];
rx(1.1954551225980203) q[0];
rz(0.0509746757591992) q[0];
rx(0.1206379412793037) q[1];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZI",
"IIIZZIII",
"IIIZIIZI",
"IIIIZIIZ",
"IIIIIIZZ",
"IIIZIIIZ",
"IZIIZIII",
"IZIZIIII",
"IZIIIIIZ",
"ZIIIZIII",
"ZIIZIIII",
"ZIIIIIIZ",
"ZZIIIIII",
"IIZIZIII",
"IIZIIIIZ",
"ZIZIIIII",
"IIIIZZII",
"IIIIIZIZ",
"IZIIIZII",
"IIZIIZII",
"IIIIZIII",
"IIIIIIZI",
"IIIZIII... | [
0.16666666666666666,
0.21666666666666667,
0.3333333333333333,
0.13333333333333333,
0.16666666666666666,
0.21666666666666667,
0.13333333333333333,
0.05,
0.13333333333333333,
0.21666666666666667,
0.05,
0.05,
0.05,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.0833333... | 0.972151 | [
1.9071154932345544,
-0.03920314878881214,
0.09251541774149795,
-0.9799295409784119,
-0.004825471747052182,
1.0071730737900226,
1.9222712250119278,
0.3631491836741375,
1.5549686965961163,
1.6106069638561105,
0.1421470029670226,
0.8080723815958907,
-0.2865869811549818,
0.059802028736636634,
... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -1.7833333333333337,
"target_ratio": 0.97,
"target_value": -1.7298333333333336
} | 2 |
7dd0a85ae083861a7e6473750beb50c4 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [38, 7], "expectation_value": -4.496449161097807, "params": null, "bitstrings": ["1011001", "1111000"], "total_optimization_steps": 26, "probabilities": [0.06701277438190029, 0.9297056987717313], "optimization_time": 32.087414264678955} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1101100", "1100110", "1011001", "1111000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-3.113092417247212) q[0];
rz(0.4880866999982407) q[0];
rx(0.38465931902777295) q[1];
rz(0.20065546137673845) q[1];
cx q[1], q[0];
rz(-0.055866517219434) q[0];
cx q[1], q[0];
rz(-0.007223024598085756) q[1];
rx(-3.0800478140916203) q[2];
rz(-0.1321662875450258) q[2];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIIZ",
"IZIIIIZ",
"IZIZIII",
"ZIIIIZI",
"ZIIIIIZ",
"IIZIZII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIZIIII"
] | [
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,
-0.5,
-0.5
] | 0.976959 | [
3.170092889932375,
0.4322201827788072,
0.38465931902777295,
0.20065546137673845,
3.2031374930879664,
-0.23249401823339577,
2.9439076566432285,
0.4119475223097899,
3.0429737068572065,
0.5317571013857584,
3.2364125851665366,
-0.6315713390951732,
0.1757618025061331,
-0.09015087172883156,
-0... | {
"n_parameters": 25,
"n_qubits": 10,
"optimal_eigenvalue": -3.3125,
"target_ratio": 0.97,
"target_value": -3.213125
} | 14 |
fe37a95fb62cde91e69aee116b6773bd | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 2}, {"weight": 11, "source": 0, "target": 4}, {"weight": 20, "source": 1, "tar... | {"states": [124, 236], "expectation_value": -28.95805958685711, "params": null, "bitstrings": ["110000011", "100010011"], "total_optimization_steps": 100, "probabilities": [0.058440211323662096, 0.1871033169533792], "optimization_time": 190.9783079624176} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 165.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.036805554208728865) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.036805554208728865) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.036805554208728865) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.036805554208728865) q[3];
cx q[... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(3.0513) 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] = m... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"ZIZIIIIII",
"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,
21.5,
5.5,
14.5,
10,
11.5,
19.5,
16,
1,
-1.5
] | 0.980584 | [
-0.036805554208728865,
1.5653143209845872,
-1.520759303138704,
1.6043065486405803,
1.6061779043506268,
-0.9411390712476695,
1.5451499827051354,
1.6462955105064652,
-1.6219264994733438,
-1.3909117298929286,
-1.5458587504655341
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -87.5,
"target_ratio": 0.97,
"target_value": -84.875
} | 43 |
48bc2fe3cb79b98fee18d505d1ebe59b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [4055, 4053], "expectation_value": -2.609332854544029, "params": [[0.055600000000000004, 1.2983, 1.0090000000000001, 1.2972000000000001, 1.3006, 0.48360000000000003, 1.2855, 0.0522, 0.6919000000000001, 0.2758, 1.2001000000000002, 0.328, 1.2854], [0.0001, 0.3423, -0.023200000000000002, 0.0726, 0.1349000000000... | 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)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(5) @ Z(6) @ Z(7)) + 0.125 * (Z(1) @ Z(3)... | 10 | 13 | 2 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75],... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.12079281128675705) q[0];
rz(0.5674813099381055) q[0];
rx(3.387397693875746) q[1];
rz(0.5870240098225082) q[1];
rx(2.8522529650362514) q[2];
rz(0.21132100675353965) q[2];
rx(0.04928141958692428) q[3];
rz(-1.4732088475229657) q[3];
rx(-0.13805548395794637) 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": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZIZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZZZ",
"IIIIIIIIIZIIZ",
"IIIIIIIIZIIIZ",
"IIIIIIIIZZIII",
"IIIIIIIIZZIIZ",
"IIIIIIZZIIIII",
"IIIIIZIZIIIII",
"IIIIIZZIIIIII",
"IIIIIZZZIIIII",
"IIIIIIIIIZIZI",
"IIIIZIIIIIIZI",
"IIIZIIIIIIIZI",
"IIIIZIIIIZIII",
"IIIZIIIIIZI... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
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.... | 0.978839 | [
0.12079281128675705,
0.5674813099381055,
3.387397693875746,
0.5870240098225082,
2.8522529650362514,
0.21132100675353965,
0.04928141958692428,
-1.4732088475229657,
-0.13805548395794637,
-0.5254705969434057,
0.05901400317539679,
-0.4027360692677126,
0.4972066229465188,
0.5280601181764276
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 16 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.