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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1536b63d241483fb5dc02588be4ba19b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [446, 318], "expectation_value": -1.8399559480745693, "params": [0.07680000000000001, 0.0733, 0.5046, 0.5023, 0.2916, 0.29050000000000004, 0.2767, 0.2723, 0.5059, 0.5038, 0.4968, 0.5008, 0.5022, 0.501, 0.5041, 0.5014000000000001, 0.5001, 0.5051, 0.09920000000000001, 0.1048, 0.07930000000000001, 0.07390000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(2) @ Z(6)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(4) @ Z(7)) + 0.0625 * (Z(5) @ Z(6)) + 0.0625 * (Z(5) @ Z(7)) + 0.0625 * (Z(6) @ Z(7)) + -0.0625 * (Z(4) @ Z(5) @ Z... | 14 | 10 | 2 | {"smallest_eigenvalues": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.4375, "smallest_bitstrings": ["1011000001", "1010010001", "1110000001", "1001010001", "0110100001", "1001100001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.04779183555766979) q[0];
rz(pi/2) q[0];
ry(0.8306418339210944) q[1];
ry(0.05682480482049211) q[2];
ry(-0.05796229018538766) q[3];
ry(0.8499443990166291) q[4];
ry(0.7642536277892962) q[5];
ry(0.9814073438298536) q[6];
ry(0.521067015089204) q[7];
ry(1.1286822792896... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIZIIZII",
"IIIZIIIZII",
"IIZIIIIZII",
"IIIIZZIIII",
"IIIZIZIIII",
"IIZIIZIIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IIIIZZIZII",
"IIIZIZIZII",
"IIZIIZIZII",
"IIIZZIIZII",
"IIZIZIIZII",
"IIZZIIIZII",
"IIIZZZIIII",
"IIZIZZIIII"... | [
0.5,
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,
0.5,
0.125,
0.125,
0.125,... | 0.975441 | [
-0.04779183555766979,
0.8306418339210944,
0.05682480482049211,
-0.05796229018538766,
0.8499443990166291,
0.7642536277892962,
0.9814073438298536,
0.521067015089204,
1.128682279289605,
-0.10572734460785212,
-0.004947795862729976,
-0.08436678599328315,
0.3852756836515644,
0.04561754259989417,... | {
"n_parameters": 79,
"n_qubits": 10,
"optimal_eigenvalue": -3.4375,
"target_ratio": 0.97,
"target_value": -3.334375
} | 50 |
a496643cb2e08d855373b91d187c0135 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 6, "source": 0, "t... | {"states": [179, 163], "expectation_value": -28.44128263917959, "params": [[[1.2029, -0.0038], [0.0033, -0.6715], [1.2032, 0.0034000000000000002], [0.7595000000000001, 0.22060000000000002], [0.002, 0.8668], [0.303, 0.42960000000000004], [1.1765, 0.0005], [1.1969, 0.0036000000000000003]], [[1.2018, 0.0097], [0.0033, 0.0... | 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + -3.0 * Z(0) + -6.0 * Z(1) + -1.5 * Z(2) + -10.0 * Z(4) + -1.5 * Z(3) + -1.5 * Z(5) + 1.0 * Z(6) + -3... | 1 | 8 | 2 | {"smallest_eigenvalues": [-39.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -37.5, "smallest_bitstrings": ["01011100"], "largest_eigenvalue": 70.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(-0.013073846050879977) q[1];
cx q[0], q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.013073846050879977) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(-0.013073846050879977) q[3];
cx q[2], q[3];
rz(-1.577151906161621) q[2];
rx(-1.558957801... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIZII",
"IIIIZZII",
"IIIZZIII",
"IIZIIIIZ",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
-3,
-6,
-1.5,
-10,
-1.5,
-1.5,
1,
-3
] | 0.980179 | [
-0.013073846050879977,
-1.2914686192920426,
1.5897659140495197,
-1.5771519061616204,
1.2839791499377913,
1.711496406988009,
-1.3676435003029348,
1.5144477928027038,
-1.5589578012410836
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -54.5,
"target_ratio": 0.97,
"target_value": -52.865
} | 34 |
f2268dbc2cd9e9d8be6517cd34bc9399 | max_flow | vqe | {"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": [207, 239], "expectation_value": -1.5460277984044064, "params": [1.6107, 0.006200000000000001, 1.6043, 0.003, 1.5981, 0.0027, 0.0025, 0.0081, 1.6055000000000001, 0.0039000000000000003, 1.6105, 0.0034000000000000002, 1.6082, 0.0037, 1.6126, 0.0014, 0.008700000000000001, 0.0047, 0.008, 0.005200000000000001, 0.... | 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) ... | 18 | 8 | 1 | {"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 |
b2a86e79e509d0d76748a475959a4d60 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 6}, {"weight": 13, "source": 1, "target": 3}, {"weight": 3, "source": 2, "target": 3}, {"... | {"states": [205, 109], "expectation_value": -9.58988807560442, "params": [[0.015600000000000001, -0.0438], [-0.0388, 0.040600000000000004]], "bitstrings": ["00110010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.006406765238124573, 0.006595356055971045], "optimization_time": 3.0789666175842285} | 4.0 * (Z(0) @ Z(2)) + 4.0 * (Z(1) @ Z(2)) + 4.0 * (Z(1) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 9.5 * Z(2) +... | 1 | 8 | 2 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 145.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.10531842151091338) q[0];
cx q[3], q[0];
rz(0.4891930059834122) q[0];
rx(-0.0661317683158416) q[0];
cx q[3], q[1];
rz(0.10531842151091338) q[1];
cx q[3], q[1];
cx q[1], q[2];
rz(0.10531842151091338) q[2];
cx q[1], q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZIZI",
"IIIZIIZI",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
9.5,
0.5,
18.5,
5.5,
22,
15,
4.5,
13.5
] | 0.981939 | [
0.10531842151091338,
-0.9612079782757411,
0.4891930059834108,
-0.3889941233568148,
0.09888614070956181,
-0.06613176831584158,
-0.15982742550497311,
-0.9131467726130178,
-0.7744447103826919,
0.963045529704064,
-0.42018965464630975,
0.1277451781058455,
0.12286825244091745,
-0.142262780034014... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 44 |
15f9d2e4462a51d20ebd24a0edb6e4ed | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target":... | {"states": [1024, 1023], "expectation_value": -20.75399705909887, "params": [[[0.0, -0.003], [-0.0038, 0.0032], [0.0025, -0.003], [0.0002, -0.0031000000000000003], [0.001, -0.003], [-0.0159, -0.0024000000000000002], [0.0032, 0.0024000000000000002], [0.011000000000000001, 0.0025], [-0.0026000000000000003, 0.002600000000... | -0.5 * (Z(0) @ Z(4)) + -1.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(9) @ Z(4)) + -0.75 * (Z(9) @ Z(0)) + 2.0 * (Z(2) @ Z(0)) + -1.0 * (Z(1) @ Z(6)) + -0.75 * (Z(1) @ Z(9)) + -1.0 * (Z(1) @ Z(2)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * (Z(10) @ Z(4)) + -0.75 * (Z(10) @ Z(6)) + -1.25 * (Z(10) @ Z(9)) + -1.25 * (Z(10) ... | 15 | 11 | 3 | {"smallest_eigenvalues": [-21.25, -21.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -20.25, "smallest_bitstrings": ["10000000000", "10000100000"], "largest_eigenvalue": 25.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.14167061336317952) q[0];
ry(-0.16320550912126022) q[1];
ry(0.024409007616267235) q[2];
ry(-0.17396680918709134) q[3];
ry(0.19855309645931635) q[4];
ry(0.06077351382607678) q[5];
ry(0.013197392215867368) q[6];
ry(0.12813214561727349) q[7];
ry(0.04872893158925096) 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": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIZIZIIII",
"IIIIZIIIIIZ",
"IZIIIIZIIII",
"IZIIIIIIIIZ",
"IIIIIIIIZIZ",
"IIIIZIIIIZI",
"IZIIIIIIIZI",
"IIIIIIIIZZI",
"IIIIIIZZIII",
"ZIIIIIZIIII",
"ZIIIZIIIIII",
"ZZIIIIIIIII",
"ZIIIIIIIZII",
"ZIIIIIIZIII",
"IIZIIIZIIII",
"IZZIIIIIIII",
"IIZIIIIIIZI",
"IIIZIIZII... | [
-0.5,
-1.5,
-0.5,
-1.5,
-0.75,
2,
-1,
-0.75,
-1,
-1,
-1.5,
-0.75,
-1.25,
-1.25,
-1.25,
-1.25,
-0.25,
-0.75,
-1,
-0.75,
-1.5,
-1.5,
-0.75,
4.25,
-0.25,
-1,
-0.25,
-0.25,
-1.5,
0.25,
-3.5,
-1.75,
4.75,
-0.75
] | 0.970234 | [
0.14167061336317952,
-0.16320550912126022,
0.024409007616267235,
-0.17396680918709134,
0.19855309645931635,
0.06077351382607678,
0.013197392215867368,
0.12813214561727349,
0.04872893158925096,
1.481027530606795,
-0.12003526655771747,
0.036729266909734236,
-0.02217495722838597,
0.0770926485... | {
"n_parameters": 52,
"n_qubits": 11,
"optimal_eigenvalue": -21.25,
"target_ratio": 0.97,
"target_value": -20.6125
} | 44 |
6f9686aa69e7d2e099ac8a4c6d8a2c72 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "... | {"states": [4095, 3615], "expectation_value": -1.4769807693867483, "params": [[-0.0717], [0.0654]], "bitstrings": ["000000000000", "000111100000"], "total_optimization_steps": 10, "probabilities": [0.00045456495843495187, 0.00046780689674765045], "optimization_time": 7.781747817993164} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * (Z(7) @ Z(9)) + -2.0 * (Z(11) @ Z(9)) + -2.0 * (Z(11) @ Z(7)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + -2.5 * (Z(8) @ Z(11)) +... | 1 | 12 | 1 | {"smallest_eigenvalues": [-22.5, -22.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -21.5, "smallest_bitstrings": ["000101000000", "000111100000"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.2285272806420948) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(1.2285272806420948) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.020824591071579412) q[1];
rx(1.1013226705259653) q[1];
rz(1.2285272806420948) q[2];
cx q[0], q[2];
rz(0.020... | 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[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIZIZIIII",
"IIIIIZIIZIII",
"IIZIZIIIIIII",
"ZIZIIIIIIIII",
"ZIIIZIIIIIII",
"IIZZIIIIIIII",
"IIIZZIIIIIII",
"ZIIZIIIIIIII",
"ZZIIIIIIIIII",
"IZIZIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIII... | [
-1.5,
-1.5,
-1.5,
-2.5,
0.5,
-2,
-1.5,
0.5,
-1.5,
-2,
-2,
0.5,
0.5,
-2.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
1,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.659635 | [
1.2285272806420948,
0.14220751372885115,
0.020824591071579267,
0.9681443343693642,
0.022475050475800687,
1.255334914375541,
1.101322670525965
] | {
"n_parameters": 7,
"n_qubits": 12,
"optimal_eigenvalue": -22.5,
"target_ratio": 0.97,
"target_value": -21.825
} | 181 |
2768668254746075286 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4], [0, 2, 3, 6], [0, 1, 2, 4, 6], [4, 5, 6], [0, 1, 4, 5], [1, 2, 4, 5], [3, 5], [0, 2, 4, 5]]} | {"states": [92, 86], "expectation_value": -2.0496064196549892, "params": null, "bitstrings": ["0100011", "0101001"], "total_optimization_steps": 38, "probabilities": [0.08476630470383742, 0.8406829976825848], "optimization_time": 48.4477105140686} | 0.5 * (Z(3) @ Z(4)) + 0.21666666666666667 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(3)) + 0.21666666666666667 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(3)) + 0.21666666666666667 * (Z(2) @ Z(0)) + 0.21666666666666667 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.13333333333333333 * (Z(6) @ Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.1999999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0333333333333337, "smallest_bitstrings": ["0101001"], "largest_eigenvalue": 7.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-0.33121764126582226) q[1];
ry(-2.6871214183231222) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.4076346561731692) q[3];
h q[4];
ry(1.5961390185210005) q[4];
h q[5];
cx q[5], q[3];
ry(0.4076346561731692) q[3];
cx q[5], q[3];
ry(-0.32309207047533334) q[3];
cx q[4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5218) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIZZIII",
"IIZIIIZ",
"IIIZIIZ",
"IIZIZII",
"IIIZZII",
"IIIIZIZ",
"ZIZIIII",
"ZIIZIII",
"ZIIIIIZ",
"ZIIIZII",
"IIZIIZI",
"IIIIIZZ",
"IIIIZZI",
"ZIIIIZI",
"IZZIIII",
"IZIZIII",
"IZIIIIZ",
"IZIIZII",
"ZZIIIII",
"IZIIIZI",
"IIZIIII",
"IIIZIII",
"IIIIIIZ",
"IIIIZII",
"ZII... | [
0.5,
0.21666666666666667,
0.08333333333333333,
0.21666666666666667,
0.08333333333333333,
0.21666666666666667,
0.21666666666666667,
0.08333333333333333,
0.13333333333333333,
0.13333333333333333,
0.21666666666666667,
0.13333333333333333,
0.13333333333333333,
0.05,
0.41666666666666663,
0.... | 0.971421 | [
1.5961390185210005,
-0.8152693123463384,
1.0304157585850822,
-0.6461841409506667,
0.512467939862494,
0.9237324610218355,
-0.5664840987273465,
0.38518526101278067,
-0.6624352825316445,
-0.16411898472492364,
0.511697930210999,
-0.38536613642540235,
0.6118837510353883,
-0.5133715973720543,
... | {
"n_parameters": 33,
"n_qubits": 7,
"optimal_eigenvalue": -2.1999999999999997,
"target_ratio": 0.97,
"target_value": -2.134
} | 13 |
bbe36c72142a04c8b1698fed3f77c25c | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 3}, {"weight": 7, "source": 1, "target": 2}, {"weight": 17, "source": 1, "target": 3}, {"weight": 24, "source":... | {"states": [411, 413], "expectation_value": -5.7106844257852964, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741875, 0.8578073217068284], "optimization_time": 101.2921416759491} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.016228639223514973) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.016228639223514973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.016228639223514973) q[2];
cx q[0], q[2];
rz(-1.196649630207868) q[0];
rx(1.6249956830407981) q[0];
h ... | null | {"start_node": 0, "end_node": 4} | {"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(1.5681) 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",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.981439 | [
-0.016228639223514973,
1.522688419965938,
-1.1966496302078677,
1.624995683040798,
-0.8755811242009026,
0.7452257823272057,
0.2393407597375708,
0.22077208961471634
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 31 |
2f9748d259d55a5f303ac02652806401 | 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": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 5, "source": ... | {"states": [2048, 2047], "expectation_value": -38.750783621237275, "params": [[[0.0194, -0.0026000000000000003], [-0.003, 0.006], [-0.0032, -0.0028], [-0.0076, 0.0027], [-0.0105, -0.0024000000000000002], [-0.0089, 0.0025], [-0.0054, -0.0026000000000000003], [-0.0097, 0.0025], [0.0013000000000000002, -0.0026000000000000... | -0.5 * (Z(0) @ Z(7)) + -1.25 * (Z(9) @ Z(7)) + -1.0 * (Z(9) @ Z(0)) + -0.75 * (Z(11) @ Z(7)) + -1.25 * (Z(11) @ Z(0)) + -1.25 * (Z(1) @ Z(7)) + -2.0 * (Z(1) @ Z(9)) + -0.75 * (Z(8) @ Z(7)) + -1.0 * (Z(8) @ Z(9)) + -0.75 * (Z(8) @ Z(11)) + -0.75 * (Z(8) @ Z(1)) + -1.25 * (Z(10) @ Z(7)) + -1.0 * (Z(10) @ Z(9)) + -2.5 * (... | 15 | 12 | 3 | {"smallest_eigenvalues": [-39.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -38.25, "smallest_bitstrings": ["100000000000"], "largest_eigenvalue": 23.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.11671463111788032) q[0];
ry(0.07529291733798973) q[1];
ry(-0.009022443574858182) q[2];
ry(-0.054389195774138296) q[3];
ry(-0.17000834439674764) q[4];
ry(0.059008154478725414) q[5];
ry(0.06332112118589008) q[6];
ry(0.1871353596030696) q[7];
ry(-0.08903050556996585... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IIIIZIIIIIIZ",
"IIZIZIIIIIII",
"IIZIIIIIIIIZ",
"ZIIIZIIIIIII",
"ZIIIIIIIIIIZ",
"IIIIZIIIIIZI",
"IIZIIIIIIIZI",
"IIIZZIIIIIII",
"IIZZIIIIIIII",
"ZIIZIIIIIIII",
"IIIZIIIIIIZI",
"IZIIZIIIIIII",
"IZZIIIIIIIII",
"ZZIIIIIIIIII",
"IZIIIIIIIIZI",
"IZIZIIIIIIII",
"IIIIIIIIZIIZ",
"IIZIIIIIZ... | [
-0.5,
-1.25,
-1,
-0.75,
-1.25,
-1.25,
-2,
-0.75,
-1,
-0.75,
-0.75,
-1.25,
-1,
-2.5,
-2,
-1.5,
3,
-0.5,
-1,
-1.75,
-0.25,
-0.75,
-1.5,
-2.25,
-1.75,
-0.75,
-0.5,
-0.25,
-1,
-0.5,
-0.5,
-0.75,
-1.25,
-1.75,
-2,
-1.25,
-1.5,
1.25,
-0.25,
-0.... | 0.971001 | [
-0.11671463111788032,
0.07529291733798973,
-0.009022443574858182,
-0.054389195774138296,
-0.17000834439674764,
0.059008154478725414,
0.06332112118589008,
0.1871353596030696,
-0.08903050556996585,
-0.07286073828651182,
-1.5254185157666706,
-0.14990971866489136,
0.024067337901270566,
0.06367... | {
"n_parameters": 53,
"n_qubits": 12,
"optimal_eigenvalue": -39.25,
"target_ratio": 0.97,
"target_value": -38.0725
} | 20 |
2783967b1611213b3e7795654a08824b | 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": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [313, 314], "expectation_value": -1.378782303540543, "params": [[[0.402, 0.001], [0.1802, 0.0149], [0.38370000000000004, -0.1502], [0.39880000000000004, 0.11760000000000001], [0.38720000000000004, 0.3551], [0.4053, 0.2612], [0.21860000000000002, 0.2169], [0.4077, 0.3957], [0.3991, 0.3836]], [[0.3884, -0.0339... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(7)) + 0.25 * (Z(2) @ Z(7)) + -0.25 * (Z(0) @ Z(2) @ Z(7)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(8) @ Z(3)) + 0.12... | 15 | 9 | 4 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.375, "smallest_bitstrings": ["010100110", "011000101", "011000110", "010010110", "100100101", "011100100", "011001100", "100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.4476455626952967) q[0];
h q[1];
ry(1.4476455626952967) q[1];
h q[2];
ry(-0.059126059586819345) q[3];
rz(-pi) q[3];
cx q[1], q[3];
ry(0.09486143994178287) q[3];
cx q[1], q[3];
ry(0.008187482699304706) q[3];
h q[4];
ry(-1.6038831393838435) q[4];
ry(-0.0591260... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIIZZZII",
"IIZZIIIII",
"IIIIIIZIZ",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIIIIZIZ",
"IIIZIZIII",
"IZIIIZIII",
"ZIIIIZIII",
"IZIZIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IZIZIZIII",
"ZIIZIZIII",
"ZZIIIZIII",
"ZZIZIIIII",
"ZZIZIZIII",
"... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
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,
0.125,
0,
-0.125,
-1,
0.125,
0.125
] | 0.996122 | [
-1.6038831393838435,
-1.4168088272662944,
1.4476455626952967,
-1.1273306452707597,
0.7286646700863632,
-0.18972287988356573,
-0.36076103541921345,
0.3420029579089602,
-0.42645300423253624,
0.2659988647826904,
-0.04303709360162987,
0.09904893961194784,
0.1611605001101052,
0.1474386520393811... | {
"n_parameters": 15,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
62ca4fdc3f835f51dee1780376d2bf19 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [166, 167], "expectation_value": -2.444159144821532, "params": [0.9017000000000001, 0.1768, 0.4174, 0.6539, 0.904, 0.032600000000000004, -0.003, 0.6232, 0.16040000000000001, -0.3553, 0.9042, -0.17850000000000002, 0.9069, 0.0038, 0.6211, 0.011000000000000001, 0.6811, 0.2617, 0.08850000000000001, 0.70110000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(0) @ Z(5) @ Z(4)) + -0.125 * (Z(4) @ Z(2) @ Z(5)) + 0.12... | 16 | 8 | 3 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["10010001", "01011000"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.03311259666018414) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-0.03311259666018414) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(-0.03311259666018414) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(-0.033... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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",
"IIIIZZII",
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIZIZII",
"IIZIIZII",
"IIZZIIII",
"IIIZIZIZ",
"IIZIIZIZ",
"IIZZIIIZ",
"IIZZIZII",
"IIZZIZIZ",
"IZIIZIII",
"ZIIZIIII",
"IIZIIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IZZIIIZI",
"ZIZIIIZ... | [
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.5,
-0.125,
0.25,
-0.125,
-0.125
] | 0.970979 | [
-0.03311259666018414,
-0.926740016131006,
1.1332781721574576,
-0.6828999435483087,
0.048848077717694956,
-0.6892557923561745,
-0.9341746867604942,
-1.0526159075651214,
1.562787464657171,
-0.6479653873188044,
-0.7809022078920977,
-0.48800858196832586,
-0.05786698635618916,
-3.23403462105192... | {
"n_parameters": 16,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 139 |
bc66253cf8720682f4eebbf8e558ad61 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [3, 11], "expectation_value": -9.204633213247385, "params": null, "bitstrings": ["111100", "110100"], "total_optimization_steps": 22, "probabilities": [0.21104498409550887, 0.21288599334318353], "optimization_time": 13.602759599685669} | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -1.25 * Z(1) + -0.25 * Z(0) + -2.25 * Z(3) + 0.75 * Z(2) + 1.5 * Z(5) + 1.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-10.25, -10.25, -10.25, -10.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.25, "smallest_bitstrings": ["111110", "111100", "110110", "110100"], "largest_eigenvalue": 13.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.714438572684436) q[0];
h q[1];
ry(-1.428877145368872) q[1];
h q[2];
h q[3];
ry(-1.428877145368872) q[3];
h q[4];
h q[5];
cx q[5], q[0];
ry(0.714438572684436) q[0];
cx q[5], q[0];
ry(-0.856357758661726) q[0];
cx q[4], q[0];
ry(4.239869943476942e-08) q[0];
c... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IIIZZI",
"ZIIIIZ",
"ZIZIII",
"IZIIZI",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IIIZII",
"ZIIIII",
"IZIIII"
] | [
-1.25,
-1.25,
-1,
-0.75,
2.5,
-1,
-0.5,
-1,
-1.25,
-0.25,
-2.25,
0.75,
1.5,
1.5
] | 0.921629 | [
-1.428877145368872,
1.5707963072208557,
-0.8563577162630266,
-8.479739886953884e-8,
7.260494688738796e-8,
-2.058158962333484e-8,
-4.1931091589049415e-8,
-2.6274812220416775e-8
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -10.25,
"target_ratio": 0.97,
"target_value": -9.942499999999999
} | 183 |
596dc591e846e98017ad5da8b3c9d903 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [97, 51], "expectation_value": -0.22479820110336088, "params": [[0.0766], [-0.0742]], "bitstrings": ["0011110", "1001100"], "total_optimization_steps": 10, "probabilities": [0.008827074952485017, 0.009363602030226167], "optimization_time": 1.389223575592041} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(5) + -1.5 * Z(3) + -0.5 * Z(1) + -1.5 * Z(4) + -0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1001100"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-1.1346745737184226e-08) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-1.1346745737184226e-08) q[3];
cx q[2], q[3];
rz(0.2526803351014868) q[2];
rx(-1.5707963122896773) q[2];
cx q[3], q[1];
rz(-1.1346745737184226e-08) q[1];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IZIIIIZ",
"IIIZZII",
"IIIZIZI",
"IZZIIII",
"IIZZIII",
"IIZIIZI",
"ZIIZIII",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-1.5,
-0.5,
-1.5,
-0.5
] | 0.5125 | [
-1.1346745737184226e-8,
0.25268033510148713,
-1.5707962675335227,
-1.570796312289677
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 131 |
e477f019bfd20e5c3ebfb6f9f834bdc7 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [30, 31], "expectation_value": -18.436611550681825, "params": [[[-0.0027, -0.003], [-0.0026000000000000003, -0.0028], [-0.0024000000000000002, -0.003], [-0.0024000000000000002, -0.0023], [0.0027, 2.7066000000000003], [-0.0032, -0.0026000000000000003], [-0.0029000000000000002, -0.0029000000000000002], [1.6585... | -2.5 * (Z(0) @ Z(1)) + 1.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + -2.0... | 15 | 9 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["111100000"], "largest_eigenvalue": 27.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.19797223445350373) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.2002553072915073) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.19797223445350373) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.19797223445350373) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIZIZIIII",
"IZZIIIIII",
"IZIIZIIII",
"IIIZZIIII",
"IZIZIIIII",
"ZIIIZIIII",
"ZZIIIIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIZIIIIII",
"IIIIZIIII",
"IZIIIIIII",
"... | [
-2.5,
1.5,
-2.5,
-2.5,
1,
-2.5,
-1.5,
0.5,
-2.5,
0.5,
-2,
0.5,
-2,
0.5,
-2,
-1.5,
-2,
1.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.577079 | [
0.19797223445350373,
0.2002553072915073,
-0.01351954138625283,
1.5559118600726514,
0.42999996669539475,
1.3295456803697459,
1.205463004165793
] | {
"n_parameters": 7,
"n_qubits": 9,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 205 |
a3571c19d72a014065614d323aff3379 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]} | {"states": [37, 7], "expectation_value": -6.949732949292838, "params": null, "bitstrings": ["011010", "111000"], "total_optimization_steps": 55, "probabilities": [0.10575607167947162, 0.6067362425290842], "optimization_time": 60.94029688835144} | 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)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * ... | 18 | 6 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.362712956693458) q[0];
h q[1];
ry(-0.362712956693458) q[1];
h q[2];
ry(-0.362712956693458) q[2];
h q[3];
cx q[3], q[2];
ry(0.362712956693458) q[2];
cx q[3], q[2];
ry(-0.8545707286531208) q[2];
ry(1.2709249526324335) q[3];
h q[4];
cx q[4], q[0];
ry(0.362712... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
2,
2,
2,
1.75,
2,
2,
2,
1.75,
2,
2,
-0.75,
-0.5,
-1,
-0.25,
-0.25,
-0.25
] | 0.975572 | [
-0.725425913386916,
1.0706273462922709,
1.3425111777435603,
0.63039906660102,
-0.680705231014584,
-0.40156305610165266,
-0.260757100747384,
0.5178049646920392,
0.4005952126803254,
-0.5439106489094752,
0.08432570462335529,
-0.40927439929699994,
-0.3477309952770732,
0.042917048675201463,
-... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 20 |
f14f470340c95c5caaa85ee086b90592 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 8}, {"source": 2, "target": 6}, {"sour... | {"states": [240, 369], "expectation_value": -6.023514376800889, "params": [-0.8148000000000001, -0.8256, 1.5043, 1.619, 1.5719, 1.5744, 1.5731000000000002, 1.5733000000000001, 1.5567, 1.5810000000000002, -0.2368, 0.2318, -0.01, 0.0048000000000000004, -0.0031000000000000003, -0.0023, 0.7595000000000001, -0.171, 2.5392, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(5) + -1.0 * Z(6) + ... | 14 | 9 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["010001110"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-1.3982534251134815) q[0];
rz(pi/2) q[0];
ry(1.662977126656872) q[1];
ry(1.6205802227821682) q[2];
ry(1.6836855631981675) q[3];
ry(1.4972838759963727) q[4];
ry(-0.110471626003743) q[5];
ry(-0.08461467547414735) q[6];
ry(0.014014171359412363) q[7];
ry(0.67589897139311... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"ZIIIIIIZI",
"ZIIZIIIII",
"ZIZIIIIII",
"IIZIIIZII",
"ZZIIIIIII",
"IZIIIIZII",
"IZIIIZIII",
"IIIZZIIII",
"IZIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIZII",
"IZIIIIIII",
"IIIIIZIII",
"IIIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1,
-1,
-1.5,
-0.5,
-1.5,
0,
-0.5
] | 0.976354 | [
-1.3982534251134815,
1.662977126656872,
1.6205802227821682,
1.6836855631981675,
1.4972838759963727,
-0.110471626003743,
-0.08461467547414735,
0.014014171359412363,
0.6758989713931189,
2.5103935526798256,
-2.4355830622532983,
0.057463195208320175,
-0.41032464933428625,
-0.19199068713922418,... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 14 |
406f205c8f68e15d44cfdbce281f4c7d | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 4, "target": 3}]} | {"states": [5, 7], "expectation_value": -2.084979705925262, "params": [[[0.321, -0.1889], [0.3225, -0.1867], [0.3871, -0.1814], [0.6858000000000001, -0.0005], [0.6196, -0.0177], [0.6934, 0.0004]], [[0.324, -0.1889], [0.3174, -0.1867], [0.3846, -0.1814], [0.6849000000000001, -0.0005], [0.613, -0.0177], [0.6963, 0.0004]]... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * ... | 1 | 6 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.00817263797266711) q[0];
rz(0.5966647633891988) q[0];
rx(-0.00817263797266711) q[1];
rz(0.13566274477300744) q[1];
rx(3.0563566369992974) q[2];
rz(1.526362272167271) q[2];
rx(2.7143491625185714) q[3];
rz(0.6625473815348293) q[3];
rx(-0.235591289998422) 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[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
2,
2,
2,
2,
1.75,
2,
1.75,
2,
2,
2,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
-0.25
] | 0.974338 | [
-0.00817263797266711,
0.5966647633891988,
0.13566274477300744,
3.0563566369992974,
1.526362272167271,
2.7143491625185714,
0.6625473815348293,
-0.235591289998422,
0.5263775625222091,
3.0339991639572848,
0.17723105258234045
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 12 |
-6009607352826141625 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[6, 7], [2, 5, 7], [2, 3, 6], [1, 4, 5], [0, 3, 5], [0, 2], [1, 2, 5], [0, 1, 5, 6], [1, 2, 4, 6], [2, 4, 5], [0, 1, 3, 4], [1, 3, 4, 6], [1, 3, 5, 7]]} | {"states": [121, 118], "expectation_value": -1.9129750748998076, "params": [[-0.3645], [0.35850000000000004]], "bitstrings": ["10000110", "10001001"], "total_optimization_steps": 40, "probabilities": [0.017893692717056167, 0.01873920594022031], "optimization_time": 3.6859941482543945} | 0.5 * (Z(6) @ Z(7)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.08333333333333333 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(1) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.416666666666666, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[6];
rz(-0.011654196581674249) q[6];
cx q[7], q[6];
cx q[7], q[2];
rz(-0.012808508440692513) q[2];
cx q[7], q[2];
cx q[6], q[2];
rz(0.005747501713076366) q[2];
cx q[6], q[2];
cx q[7], q[5];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"ZZIIIIII",
"ZIIIIZII",
"IZIIIZII",
"ZIZIIIII",
"IZZIIIII",
"IIZIIZII",
"ZIIIZIII",
"IZIIZIII",
"IIIIZZII",
"IIZIZIII",
"ZIIIIIZI",
"IZIIIIZI",
"IIIIIZZI",
"IIZIIIZI",
"IIIIZIZI",
"IZIZIIII",
"IIIZIZII",
"IIZZIIII",
"IIIZZIII",
"IIIZIIZI",
"IZIIIIIZ",
"IIIIIZIZ",
"IIZIIII... | [
0.5,
0.16666666666666666,
0.25,
0.25,
0.08333333333333333,
0.5,
0.08333333333333333,
0.25,
0.16666666666666666,
0.25,
0.08333333333333333,
0.25,
0.25,
0.49999999999999994,
0.25,
0.16666666666666666,
0.25,
0.3333333333333333,
0.16666666666666666,
0.41666666666666663,
0.0833333... | 0.970704 | [
-0.011654196581674249,
-0.012808508440692513,
0.005747501713076366,
-0.011790261864431132,
-0.2655053001798946,
0.044078095903494575,
-1.6415664004745163,
1.531164435451494,
-1.5926725468046614,
1.5065375359321385,
-1.5859047148614278,
-1.6609590705517159,
1.4775992447436757,
1.56210896559... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 130 |
641201f67815f64266ad9829d1b30894 | 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": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": ... | {"states": [0, 7], "expectation_value": -2.979878904118699, "params": [[-0.057800000000000004], [0.0587]], "bitstrings": ["1111111111", "1111111000"], "total_optimization_steps": 10, "probabilities": [0.0016126270045757555, 0.0016750721176067014], "optimization_time": 0.9584341049194336} | -3.5 * (Z(0) @ Z(2)) + 1.5 * (Z(4) @ Z(2)) + -4.0 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + -3.0 * (Z(6) @ Z(0)) + -3.5 * (Z(6) @ Z(4)) + -2.5 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -4.0 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + -3.0 * (Z(3) @ Z(2)) + 1.5 * (Z(3) @ Z(0)) + -4.0 * (Z(3) @ Z(4)) + 1.0 * (Z(3) @ Z(6)) + 1.0 ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-35.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.0, "smallest_bitstrings": ["1111111000"], "largest_eigenvalue": 38.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.0587575285120579) q[0];
rz(1.5644266324188791) q[0];
rx(-0.016476237742443438) q[1];
rz(1.645624741256107) q[1];
rx(0.046317839458254614) q[2];
rz(1.5822442901919471) q[2];
rx(0.046317839458254614) q[3];
rz(1.5487738354887135) q[3];
rx(0.013108994511614444) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIZIZII",
"IIIIIZIIIZ",
"IIIZIIIZII",
"IIIZIIIIIZ",
"IIIZIZIIII",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIZIIIIZI",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIZIIZIII",
"IIIIIIZIZI",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIIZIIIZI",
"IIIIZIZIII"... | [
-3.5,
1.5,
-4,
0.5,
-3,
-3.5,
-2.5,
1,
-4,
0.5,
-3,
1.5,
-4,
1,
1,
1,
-3.5,
-2.5,
0.5,
0.5,
-1.5,
-1.5,
0.5,
1.5,
-2.5,
-3,
-2.5,
1,
-2.5,
1.5,
0.5,
0.5,
0.5
] | 0.971303 | [
0.0587575285120579,
-0.006369694376017296,
-0.016476237742443438,
0.07482841446121045,
0.04631783945825462,
0.011447963397050346,
-0.02202249130618294,
0.013108994511614444,
0.03349649476641922,
0.023098315508198096,
0.9667339095871051,
0.04866992400562495,
-0.17943513988683157,
0.58647483... | {
"n_parameters": 24,
"n_qubits": 10,
"optimal_eigenvalue": -35,
"target_ratio": 0.97,
"target_value": -33.949999999999996
} | 4 |
4700601e722e5f0a0c40acc2968ffc97 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}]} | {"states": [9, 3], "expectation_value": -6.98539458460684, "params": null, "bitstrings": ["10110", "11100"], "total_optimization_steps": 29, "probabilities": [0.12796174980966527, 0.6649528209913563], "optimization_time": 22.756184339523315} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.75 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.25 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100", "01110"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.6706529503752435) q[0];
h q[1];
ry(1.4146339409758935) q[1];
h q[2];
ry(-0.5581047246583587) q[2];
h q[3];
cx q[3], q[0];
ry(0.6706529503752435) q[0];
cx q[3], q[0];
ry(-0.44205081723318096) q[0];
ry(0.9054299760275487) q[3];
rz(-pi) q[4];
ry(-0.0725877717... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
1.75,
2,
1.75,
2,
2,
-2.75,
-2.75,
-2.75,
-2.5,
-2.25
] | 0.991225 | [
-1.6704548362417395,
-1.341305900750487,
1.4146339409758935,
0.973194262912994,
-1.1162094493167174,
0.6844911620078096,
-0.48532124205514987,
0.5740763702252564,
0.27498873776268346,
-0.23622283509959657,
0.44187762803947833,
-0.4116559642671688,
0.5069271119789323,
-0.18155338475627356,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
2df5083eec714b9fdc0c8843b7695063 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 3, "source": 0, "t... | {"states": [109, 107], "expectation_value": -10.609702840651117, "params": [[0.049300000000000004, 0.020300000000000002], [-0.060200000000000004, -0.051500000000000004]], "bitstrings": ["10010010", "10010100"], "total_optimization_steps": 10, "probabilities": [0.011221066147882017, 0.011601117485127271], "optimization_... | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(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(7) @ Z(6)) + 1.5 * Z(0) + 12.5 * Z(2) + 13.5 * Z(1) + -2.0 * Z(3) + 6.0 * Z(4) + 8.0 * Z(5) + 11.0 * Z(6) + 10.0 ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-54.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -50.5, "smallest_bitstrings": ["10010100"], "largest_eigenvalue": 105.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(0.02726385121418927) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.02726385121418927) q[1];
cx q[0], q[1];
rz(-1.6027682660398161) q[0];
rx(-1.644335621650184) q[0];
cx q[2], q[1];
rz(0.02726385121418927) q[1];
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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIIZZIII",
"IIZIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
1.5,
12.5,
13.5,
-2,
6,
8,
11,
10
] | 0.980224 | [
0.02726385121418927,
-1.6027682660398161,
1.6612621026647572,
1.5140893262708621,
-1.4142046096662184,
1.5607466052674113,
-1.2355434411882795,
1.7777638269702782,
1.9424021471281856,
-1.6443356216501843,
0.5585330208204107,
0.006381188169456237,
1.8639243363114775,
-0.2903186153987083,
... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -54.5,
"target_ratio": 0.97,
"target_value": -52.865
} | 48 |
87ba346715d7ffd469182fcb7e9830c2 | 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": 4, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6... | {"states": [17, 19], "expectation_value": -2.4780181857803463, "params": [[0.040600000000000004, 0.0455, 0.04], [-0.0351, -0.0379, -0.0415]], "bitstrings": ["1101110", "1101100"], "total_optimization_steps": 10, "probabilities": [0.015698838104061346, 0.01653460064015313], "optimization_time": 3.4936084747314453} | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + 2.25 * (Z(6) @ Z(0)) + -1.75 * (Z(6) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -2.75 * Z(1) + -0.25 * Z(0) + 4.0 * Z(2) + 1.75 * Z(4) + 0.5 * Z(6) + -1.75 * Z(3) + -1... | 1 | 7 | 3 | {"smallest_eigenvalues": [-16.5, -16.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.5, "smallest_bitstrings": ["1101100", "1101110"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.2424713024680878) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.09609449461972433) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.07103718221836942) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.2424713024680878) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"ZIIIIIZ",
"ZIIIZII",
"IIIZIZI",
"IIZZIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
-1,
-1.25,
-0.5,
-1,
-0.5,
2.25,
-1.75,
-2.5,
-1.75,
-1.5,
-2.75,
-0.25,
4,
1.75,
0.5,
-1.75,
-1.5
] | 0.970277 | [
-0.2424713024680878,
-0.09609449461972433,
-0.07103718221836942,
0.24484176276753844,
-0.5846079027452293,
-0.03545717743987341,
-0.13831910799219202,
-0.24427600165074528,
-0.4294993140104167,
0.03986173338969032,
-0.32853968363508496,
0.40842551468782123,
-0.9636115791438007,
0.066113856... | {
"n_parameters": 39,
"n_qubits": 7,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 83 |
d75363653ef00cde7e482c2c3392dff7 | 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": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [143, 191], "expectation_value": -5.589637543306164, "params": null, "bitstrings": ["101110000", "101000000"], "total_optimization_steps": 77, "probabilities": [0.21364442366040196, 0.6608383547147513], "optimization_time": 153.98659300804138} | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(8) @ Z(3)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.75, -5.75, -5.75, -5.75, -5.75, -5.75, -5.75, -5.75], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.75, "smallest_bitstrings": ["100000000", "101110010", "101110000", "101000000", "111110000", "111110100", "111110110", "111110010"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.5800016602217045) q[0];
ry(-3.0160182889402423) q[1];
rz(-pi) q[1];
ry(-0.7937295761698439) q[2];
rz(-pi) q[2];
h q[3];
ry(0.7483050100221447) q[3];
h q[4];
cx q[4], q[3];
ry(-0.7483050100221447) q[3];
cx q[4], q[3];
ry(0.5506897500678624) q[4];
cx q[3], q... | 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[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZI",
"IIZIIIIZI",
"IIIIZZIII",
"ZIIIIZIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIZIZIII",
"IIIZZIIII",
"ZIIZIIIII",
"IZIIIZIII",
"IZIIIIZII",
"IZIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIZIIIIII",
"IIIIZIIII",
"... | [
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
0.25,
-1,
0,
-1.25,
-0.25,
1.5,
1.25
] | 0.97588 | [
1.635354928027199,
1.6535551550449947,
1.4966100200442893,
1.2823506458400487,
-1.160003320443409,
1.2213443738772067,
1.3259987864913463,
-0.7536541197185559,
1.1013795001357247,
0.24812610013146263,
0.3257426326105941,
-0.5864937370001171,
-0.3811460272498714,
-0.024507037660432593,
0.... | {
"n_parameters": 38,
"n_qubits": 9,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 2 |
4c4da3ad491bff88a89c5a8ec3c34597 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 7}, {"weight": 16, "source": 1, "target": 5}, {"weight": 2, "sourc... | {"states": [222, 220], "expectation_value": -69.08484166688801, "params": [0.3981, 0.0085, 0.3912, 0.0083, 0.3617, 0.062200000000000005, 0.3531, 0.0431, 0.31880000000000003, 0.06720000000000001, 0.31420000000000003, 0.0461, 0.0711, 0.1829, 0.0665, 0.188, 0.36610000000000004, 0.0177, 0.35400000000000004, 0.0144000000000... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(1)) + 8.0 * Z(1) + 5.0 * Z(0) + 8.0 * Z(2) + 16.5 * Z(4) + 6.0 * Z(3) + 8.5 * Z(5) +... | 6 | 9 | 4 | {"smallest_eigenvalues": [-73.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 126.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.16638194959451016) q[0];
rz(1.3504463437628047) q[0];
rx(0.13628005646933497) q[1];
rz(1.547930008659316) q[1];
rx(0.0334887267522833) q[2];
rz(1.657546540670765) q[2];
rx(-0.18794429582342204) q[3];
rz(1.3716830215976152) q[3];
rx(0.023360703458834325) 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] 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": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"IIZIZIIII",
"IIZIIZIII",
"IZIIIIZII",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
8,
5,
8,
16.5,
6,
8.5,
13.5,
8.5,
-3
] | 0.971153 | [
0.16638194959451022,
-0.22034998303209202,
0.13628005646933497,
-0.022866318135580904,
0.0334887267522833,
0.08675021387586856,
-0.18794429582342204,
-0.19911330519728157,
0.023360703458834328,
-0.038151300402218674,
0.2152659055591548,
-0.008601300404359306,
0.04082613652248435,
0.4900848... | {
"n_parameters": 176,
"n_qubits": 9,
"optimal_eigenvalue": -73,
"target_ratio": 0.97,
"target_value": -70.81
} | 257 |
be5567089ea669cee1a7aa408c6e9375 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [44, 21], "expectation_value": -0.16605251156264378, "params": [[0.07400000000000001], [-0.0591]], "bitstrings": ["1010011", "1101010"], "total_optimization_steps": 10, "probabilities": [0.008715974708560918, 0.008725367835154298], "optimization_time": 2.529968738555908} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(2) + -0.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(1) + -1.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["0110110", "1101010", "1010011", "0010111", "1110010"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(3.4051761076440845e-08) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(3.4051761076440845e-08) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(3.4051761076440845e-08) q[3];
cx q[2], q[3];
rz(-1.5707962957304016) q[2];
rx(-1.5707962257900... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIZIIIZ",
"IIIIZZI",
"IZZIIII",
"IZIIIZI",
"ZIIIIZI",
"ZZIIIII",
"IIIZZII",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-1,
-1.5,
-0.5,
-0.5
] | 0.75 | [
3.4051761076440845e-8,
-1.570796295730401,
1.5715949956260666,
-1.5707962379665277,
-1.5707962257900674
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 224 |
24e9c86cfdb3e8240ca21f54feb2ae3f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 0, "target": 2}, {"source": 1, "target": 6}, {"source": 3, "target": 7}, {"source": 4, "ta... | {"states": [207, 199], "expectation_value": -2.4530866682804016, "params": [[[-0.0027, 0.0061], [1.6989, 0.0054], [1.7128, 0.0063], [0.0023, 0.0066], [-0.0021000000000000003, 0.0047], [1.4787000000000001, 0.0095], [1.7023000000000001, 0.004], [1.6967, 0.0039000000000000003], [1.6986, 0.0019]]], "bitstrings": ["10011000... | 0.25 * (Z(2) @ Z(1)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + -0.25 * (Z(2) @ Z(0) @ Z(1)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(6) @ Z(1)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(5) @ Z(8)) + 0.25 * (Z(7) @ Z(8)) + -0.25 * (Z(5) @ Z(7) @ Z(8)) + 0.25 * (Z(3) @ Z(6))... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["100111000"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.1178989666848208) q[0];
rz(-1.3114878748394567) q[0];
rx(3.429660772059215) q[1];
rz(1.9519683519629236) q[1];
rx(3.2428870245089425) q[2];
rz(0.30989050063345075) q[2];
rx(0.07615240872314868) q[3];
rz(-1.4919322889468147) q[3];
rx(-0.2292526277419854) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZZ",
"IIIZIIIZI",
"IIZIIIIZI",
"IIZZIIIII",
"IIZZIIIZI",
"IZIZIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"ZZIZIIIII",
"IIZIIZIII",
"IZIIIZIII",
"IZZIIIIII",
"IZZIIZIII",
"IIIIZIZII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIIIZIZII",
"IIIIIIIZI",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0,
0,
-0.75,
-0.75,
-0.75,
0,
0,
0,
0
] | 0.981831 | [
0.1178989666848208,
-1.3114878748394567,
3.429660772059215,
1.9519683519629236,
3.2428870245089425,
0.30989050063345075,
0.07615240872314868,
-1.4919322889468147,
-0.2292526277419854,
0.323037351350365,
0.025479403557775504,
0.6535127034426061,
3.2061650365182963,
1.4357872245650392,
3.3... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 27 |
-4555375454082074671 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 4], [0, 7], [2, 5], [5, 7], [1, 3], [0, 1], [3, 7], [6, 7], [0, 2]]} | {"states": [186, 158], "expectation_value": -3.930961661592979, "params": null, "bitstrings": ["01000101", "01100001"], "total_optimization_steps": 52, "probabilities": [0.10842038476343772, 0.7623522681165591], "optimization_time": 53.00499391555786} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(7) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["10011110", "01100001"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.523965662372588) q[0];
h q[1];
ry(-0.17649956165060726) q[1];
h q[2];
ry(-0.3485319813160536) q[2];
h q[3];
ry(1.523965662372588) q[3];
h q[4];
cx q[4], q[1];
ry(0.17649956165060726) q[1];
cx q[4], q[1];
ry(-0.5401643608676168) q[1];
ry(1.1897400201574868) ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IIIZIIZI",
"IIIIIIZZ",
"ZIIIIIIZ",
"IIIIIZIZ",
"ZIZIIIII",
"IIZIIZII",
"IIIIZIZI",
"ZIIIZIII",
"ZZIIIIII",
"IIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIZII",
"IIZIIIII",
"IIIIZIII",
"IZIIIIII"
] | [
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
] | 0.970002 | [
-0.3529991233012145,
1.523965662372588,
-1.0803287217352335,
-0.6970639626321072,
1.4849954525627467,
-0.41228305762330386,
1.1897400201574868,
-0.23188026747693485,
-0.4559491142825426,
0.39655804779038806,
0.1359235434087551,
0.058811784252858795,
-0.22802955551784573,
0.2940053002807378... | {
"n_parameters": 25,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 15 |
006a6b3bb7f441a393d4e8c64600f53a | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 5}, {"weight": 18, "source": 1, "target": 7}, {"weight": 11, "sour... | {"states": [237, 236], "expectation_value": -33.12370723933299, "params": null, "bitstrings": ["100010010", "100010011"], "total_optimization_steps": 100, "probabilities": [0.08923281000037012, 0.21542681407916212], "optimization_time": 146.92048048973083} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(2)) + 9.0 * Z(1) + 10.0 * Z(0) + 14.0 * Z(2) + 10.5 * Z(3) + 11.0 * Z(5) + 5.0 * Z(4... | 1 | 9 | 2 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 126.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(1.5509143005851664) q[0];
h q[1];
ry(-0.0008923678712956934) q[1];
ry(-1.1341270075934007) q[2];
rz(-pi) q[2];
ry(-2.2157268226742404) q[3];
rz(-pi) q[3];
h q[4];
ry(-2.202513153730403) q[5];
rz(-pi) q[5];
rz(-pi) q[6];
ry(-0.5518654537863001) q[6];
cx q[0], ... | null | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(22.4081) 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] = ... | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZZIIII",
"IIZIIZIII",
"IIZZIIIII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIZIIIII",
"ZIIIIIZII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
9,
10,
14,
10.5,
11,
5,
11.5,
5,
-4.5
] | 0.972989 | [
23.1679383573267,
56.07674323427819,
1.5509143005851664,
-13.14203484824101,
62.596857187415345,
22.038746135319627,
14.299796036991223,
3.056267104380298,
0.6348494733891619,
-0.7843604373980249,
-0.0008923678712956934,
0.05941640454162098,
-0.3990920341865295,
-0.07340301644875229,
-0.... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -65.5,
"target_ratio": 0.97,
"target_value": -63.535
} | 82 |
271acce5133583ec98e9f3252c3b381c | 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": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target":... | {"states": [1024, 1023], "expectation_value": -13.003674534456918, "params": [[[-0.014, -0.0017000000000000001], [-0.0004, -0.0007], [0.0641, 0.0066], [0.00030000000000000003, 0.0025], [-0.0001, -0.003], [0.0023, 0.0026000000000000003], [0.0038, 0.0024000000000000002], [0.0068000000000000005, 0.0024000000000000002], [0... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(0)) + -0.25 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(8)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(8)) + -0.75 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(8)) + -0.5 * (Z(7) @... | 15 | 11 | 3 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.04562716727646028) q[0];
ry(0.26185396340314576) q[1];
ry(0.2755335986100082) q[2];
ry(-0.0380857778793376) q[3];
ry(0.07026434035977792) q[4];
ry(-0.03350950494752574) q[5];
ry(-0.16202047188030191) q[6];
ry(-0.033944010698350964) q[7];
ry(-0.03350950494752574) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IIIIIIIIIZZ",
"IIIIZIIIIZI",
"IIIIZIIIIIZ",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIIIIIZIIZI",
"IIZIIIZIIII",
"IIIIIZIIIZI",
"IIIIZZIIIII",
"IIZIIZIIIII",
"IIIZIIIIIZI",
"IIIZZIIIIII",
"IIZZIIIIIII",
"IIIZIZIIIII",
"IZIIIIIIIZI",
"IZIIZIIIIII",
"IZZIIIIIIII",
"IZIIIIZIIII",
"IZIZIIIII... | [
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.75,
-0.25,
-0.5,
-0.25,
-0.5,
-0.75,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.75,
-0.5,
-0.25,
-0.5,
-0.75,
-0.25,
-0.5,
-0.5,
-1,
-0.5,
-0.25,
1.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
0.25,
-0.25,
-0.25,
-1.5,
0.7... | 0.97211 | [
-0.04562716727646028,
0.26185396340314576,
0.2755335986100082,
-0.0380857778793376,
0.07026434035977792,
-0.03350950494752574,
-0.16202047188030191,
-0.033944010698350964,
-1.5200848820925825,
0.38230869771942616,
-0.10105493669092466,
-0.028854257662129144,
0.009869155916306417,
-0.008585... | {
"n_parameters": 50,
"n_qubits": 11,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 39 |
918d0720354f72593c99e149eea5ed01 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [102, 70], "expectation_value": -5.001655600390747, "params": [1.3056, 0.001, 0.6717000000000001, -0.43160000000000004, -0.0017000000000000001, -0.7458, -0.0151, -0.20090000000000002, 1.2831000000000001, -0.0476, 1.0983, 0.0017000000000000001, -0.0028, -0.7744000000000001, 1.2972000000000001, 0.0303, 0.6684,... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(2) + -1.0 * Z(0) + -2.0 * Z(3) + -1.5 * Z(6) + ... | 4 | 7 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0011011", "0111001"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.11100341472157638) q[0];
ry(-0.11280279679784128) q[1];
ry(-0.20974393272431618) q[2];
ry(-0.1349667402194078) q[3];
ry(0.3439396431740829) q[4];
ry(0.530047394115224) q[5];
ry(0.3471431189969528) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"ZIIIIIZ",
"ZIIZIII",
"IIIIZZI",
"IIIZIZI",
"ZIIIIZI",
"IZIIZII",
"IZIZIII",
"IZIIIZI",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII",
"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,
-1.5,
-1,
-2,
-1.5,
-1.5,
-1,
0
] | 0.970894 | [
-0.11100341472157638,
-0.11280279679784128,
-0.20974393272431618,
-0.1349667402194078,
0.3439396431740829,
0.530047394115224,
0.3471431189969528,
-0.015116441477203271,
-0.03682652652668659,
0.13420639771524737,
-0.3947322486300181,
0.9588753644970154,
1.1356833754499724,
-0.40692746001699... | {
"n_parameters": 42,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 39 |
b4764399bb7694871d7cf0cc7a871143 | 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": 1, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "so... | {"states": [9, 13], "expectation_value": -2.6973510739306996, "params": [[-0.0516, -0.0538, -0.0438, -0.027700000000000002], [0.064, 0.0684, 0.0651, 0.050300000000000004]], "bitstrings": ["10110", "10010"], "total_optimization_steps": 10, "probabilities": [0.061743549972396956, 0.08364575410927157], "optimization_time"... | -1.0 * (Z(0) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(4)) + -1.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(1)) + -3.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(4) + 2.75 * Z(1) + 0.5 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["10010"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.0026957957401774098) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.10581518505780388) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.11540216108184381) q[2];
cx q[3], q[2];
rz(0.4333108148961853) q[3];
rx(0.4323375606494058) 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": 4} | {"circuits": [], "gradients": []} | [
"IZIIZ",
"ZIIIZ",
"IZIZI",
"ZIIZI",
"IZZII",
"ZIZII",
"IIZZI",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
-1,
1.25,
-0.75,
-0.75,
-1.25,
-0.5,
-1.25,
-3,
-0.25,
0,
2.75,
0.5
] | 0.973046 | [
-0.0026957957401774098,
0.18039228660587642,
-0.10581518505780388,
0.11540216108184381,
0.21701496465636422,
0.4333108148961855,
0.3673365099505475,
-0.4099008906290893,
-0.6505096062879676,
-0.7080263566489183,
0.43233756064940576,
-0.1223249177971326,
-0.169718764529791,
-0.0048142708149... | {
"n_parameters": 41,
"n_qubits": 5,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 22 |
2fde01ebb7d3cd1daf98d95b5f19909d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 5}, {"weight": 16, "source": 0, "target": 3}, {"weight": 18, "source": 1, "target": 3}, {... | {"states": [119, 118], "expectation_value": -24.15215965827246, "params": [[-0.0357, -0.004, 0.014700000000000001], [0.0719, 0.064, 0.0506]], "bitstrings": ["10001000", "10001001"], "total_optimization_steps": 10, "probabilities": [0.012939099811726681, 0.016621335482276768], "optimization_time": 7.981212854385376} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 20.0 * Z(1) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-70.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 147.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.07427298662465327) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.07427298662465327) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.07427298662465327) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.07427298662465327) q[3];
cx q[1], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZZIII",
"IIZIIZII",
"IIZZIIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"ZIIIIZII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
20,
5,
14.5,
17,
9,
11,
10.5,
4.5
] | 0.970934 | [
0.07427298662465327,
-1.4746527526723987,
0.5195060594398412,
-0.9525594040303011,
-1.4597959388112045,
0.3211671694017895,
-1.6745883128150552,
-0.9711864288713873,
0.6027278372357929,
0.2385736843446129,
-0.03375219622682421,
-0.3875539840557747,
0.9499103781916123,
-0.5066415936816603,
... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -70.5,
"target_ratio": 0.97,
"target_value": -68.385
} | 45 |
646c4ffdec7c3b688313fcfec6df6ea9 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [35, 14], "expectation_value": -0.08681804137639634, "params": [[0.0543, 0.0145, -0.011300000000000001, -0.0587], [-0.0637, -0.032100000000000004, -0.0308, 0.0267]], "bitstrings": ["011100", "110001"], "total_optimization_steps": 10, "probabilities": [0.017509363122339534, 0.017509363122339562], "optimizatio... | 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 | 4 | {"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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"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 |
ab28a1ad9937554477ba8a744c46b147 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "... | {"states": [0, 4095], "expectation_value": -40.6069317548535, "params": [[[0.0027, 1.6066], [0.003, -0.0027], [0.0023, 0.0024000000000000002], [0.0019, 0.002], [0.0019, 0.0022], [0.002, 0.0021000000000000003], [0.0018000000000000002, 0.002], [0.0018000000000000002, 0.0021000000000000003], [0.0023, 0.0022], [0.002100000... | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(7) @ Z(1)) + -2.0 * (Z(7) @ Z(0)) + 1.5 * (Z(8) @ Z(1)) + -3.5 * (Z(8) @ Z(0)) + -3.5 * (Z(8) @ Z(7)) + -3.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + 1.0 * (Z(6) @ Z(7)) + -3.5 * (Z(6) @ Z(8)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(7)) + -3.0 * (Z(5) @ Z(8)) + -2.5... | 15 | 12 | 1 | {"smallest_eigenvalues": [-43.5, -43.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -38.5, "smallest_bitstrings": ["110001111000", "000000000000"], "largest_eigenvalue": 40.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.2010856865350681) q[0];
ry(0.06228754177356638) q[1];
ry(0.06276559258910429) q[2];
ry(0.06598787046449749) q[3];
ry(0.06598787046449749) q[4];
ry(0.09948745337760953) q[5];
ry(0.04923414037924635) q[6];
ry(0.04923414037924635) q[7];
ry(0.06276559258910429) q[8];... | 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[12] c;
qubit[12] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2]... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIZIIIIIZI",
"IIIIZIIIIIIZ",
"IIIZIIIIIIZI",
"IIIZIIIIIIIZ",
"IIIZZIIIIIII",
"IIIIIZIIIIZI",
"IIIIIZIIIIIZ",
"IIIIZZIIIIII",
"IIIZIZIIIIII",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIIIZIZIIIII",
"IIIZIIZIIIII",
"IIIIIZZIIIII",
"ZIZIIIIIIIII",
"ZIIIIIIIIZII",
"IIZIIIIII... | [
-2.5,
-2.5,
-2,
1.5,
-3.5,
-3.5,
-3,
1,
1,
-3.5,
0.5,
0.5,
0.5,
-3,
-2.5,
-2,
-3,
-3,
1,
-2.5,
-3,
0.5,
0.5,
-3,
1,
0.5,
1,
-3,
-2.5,
-2,
0.5,
1,
1,
-2.5,
1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.974248 | [
-0.2010856865350681,
0.06228754177356638,
0.06276559258910429,
0.06598787046449749,
0.09948745337760953,
0.04923414037924635,
0.012382100235228306,
2.809276728281511,
0.04753524035562377,
-0.03014780308161763,
0.08026418863057225
] | {
"n_parameters": 11,
"n_qubits": 12,
"optimal_eigenvalue": -43.5,
"target_ratio": 0.97,
"target_value": -42.195
} | 16 |
3490861310197494362 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 3, 5, 6], [2, 3], [2, 5, 6], [0, 3, 4, 5, 6]]} | {"states": [118, 117], "expectation_value": -0.7144362207615879, "params": [[0.7784000000000001], [-0.3909]], "bitstrings": ["0001001", "0001010"], "total_optimization_steps": 80, "probabilities": [0.027939860745524122, 0.02793986074552413], "optimization_time": 3.1460719108581543} | 0.05 * (Z(0) @ Z(1)) + 0.05 * (Z(3) @ Z(1)) + 0.1 * (Z(3) @ Z(0)) + 0.05 * (Z(5) @ Z(1)) + 0.1 * (Z(5) @ Z(0)) + 0.1 * (Z(5) @ Z(3)) + 0.05 * (Z(6) @ Z(1)) + 0.1 * (Z(6) @ Z(0)) + 0.1 * (Z(6) @ Z(3)) + 0.26666666666666666 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.2333333333333334, -1.2333333333333334, -1.2333333333333334, -1.2333333333333334, -1.2333333333333334, -1.2333333333333334], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.2333333333333332, "smallest_bitstrings": ["0001010", "1010100", "0110100", "1010000", "1110000", "11101... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1737340354200838) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.1737340354200838) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.15663962343254578) q[3];
cx q[0], q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(0.1737340354200838) q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
c... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IZIIIZI",
"IZIIIIZ",
"IZIZIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIZIII",
"ZZIIIII",
"IIIZZII",
"IZIIZII",
"ZIIIZII",
"IIZIIIZ",
"IIZZIII",
"IZZIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIZIIII"
] | [
0.05,
0.05,
0.1,
0.05,
0.1,
0.1,
0.05,
0.1,
0.1,
0.26666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.05,
0.05,
0.05,
0.05,
0.1,
0.19999999999999996,
0.20000000000000007,
0.3666666666666666,
0.3666666666666666,
0.16666666666666663,
0.1
] | 0.763506 | [
0.1737340354200838,
0.15663962343254578,
-0.02139317601823218,
1.5539933723585693,
-0.15643686007970772,
0.26564816133133784,
1.6176960894034311,
-0.8858769575442963
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -1.2333333333333334,
"target_ratio": 0.97,
"target_value": -1.1963333333333332
} | 178 |
9b8c0ccb32d0f88d964f624767035a96 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [1, 9], "expectation_value": -0.12754400586584402, "params": [[0.0316], [-0.0354]], "bitstrings": ["11111110", "11110110"], "total_optimization_steps": 10, "probabilities": [0.004225691009125311, 0.004244756649535302], "optimization_time": 1.9073939323425293} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + 2.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.5 * Z(4) + -0.75 * Z(6) + 0.75 * Z(2) + -1.0 * Z(3) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["11110110"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.39636875710932784) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.025445399608615533) q[2];
cx q[1], q[2];
rz(0.7435363741497949) q[1];
rx(1.5892963016699295) q[1];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.025383228227577177) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIIZ",
"IZIIIIIZ",
"IIIIIZZI",
"IIIZZIII",
"IIIIZZII",
"IIZIIZII",
"IIZIZIII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-0.75,
-0.5,
-0.75,
-1.25,
-0.25,
-0.75,
-0.25,
-1.5,
2.25,
-0.75,
-1,
-0.25,
0.5,
-0.75,
0.75,
-1,
0.25,
1.5
] | 0.928057 | [
0.39636875710932784,
-0.025383228227577177,
-0.025445399608615533,
0.48494604258427165,
-0.12110685350730785,
-0.06267444957194843,
0.7435363741497948,
-0.5272969720301025,
0.8112275368431179,
0.6305407508444273,
-0.6721587925890405,
1.5892963016699295,
0.6494780915974173,
-0.0574263798070... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 500 |
31bcee1b066a63f64c6901bb1e1b69cb | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [21, 28], "expectation_value": -2.9963973272214712, "params": null, "bitstrings": ["101010", "100011"], "total_optimization_steps": 25, "probabilities": [0.06635225969610153, 0.9303258560517219], "optimization_time": 13.356152772903442} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(2) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["100011", "101010", "011100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.8134308690563022) q[0];
rz(-0.004340210929724364) q[0];
rx(-0.04386525431228497) q[1];
rz(1.1021752077143088) q[1];
rx(-0.013238833040450147) q[2];
rz(-1.192074686665066) q[2];
rx(1.521660208972273) q[3];
rz(-0.5183062345743958) q[3];
rx(-0.07804897496144539) q[4]... | 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... | [
"IIIIZZ",
"IIZIIZ",
"IZIIZI",
"IZZIII",
"IZIZII",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
0
] | 0.981324 | [
-0.8134308690563021,
0.02233676954795123,
-0.04386525431228497,
0.6629278156883924,
-0.013238833040450145,
-0.8015821085417717,
1.521660208972273,
-0.03357304081524819,
-0.0780489749614454,
1.036539672959953,
1.1636048445698097,
0.011763346432697531,
0.06040645557731586,
-0.969466387518295... | {
"n_parameters": 47,
"n_qubits": 6,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 6 |
fbeca3287c88ac656e8f44e35837a20d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 3, "source": 0, "t... | {"states": [125, 109], "expectation_value": -50.77624879200736, "params": [0.368, 0.6012000000000001, 0.8340000000000001, -0.034800000000000005, 1.365, 0.0661, 1.4925000000000002, 0.5625, 1.4767000000000001, -0.0011, 0.9483, -0.0014, 0.7562, -0.0023, 1.4952, 0.0029000000000000002, 0.3321, -0.3554, 1.2814, 0.0023, 1.362... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(2) @ Z(5)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(6) @ Z(7)) + 5.5 * Z(1) + 1.5 * Z(0) + 19.0 * Z(4) + 14.5 * Z(5) + 14.5 * Z(2) + 6.0 * Z(3)... | 4 | 8 | 2 | {"smallest_eigenvalues": [-59.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -51.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 117.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.4621200799157078) q[0];
rz(2.5310802994442465) q[0];
rx(1.0371216398864838) q[1];
rz(1.2936490653800785) q[1];
rx(1.5502854236584591) q[2];
rz(1.6255839899431388) q[2];
rx(2.0270665855362484) q[3];
rz(2.37946354203517) q[3];
rx(1.626482565654) q[4];
rz(1.4004363227... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIZI",
"IIZZIIII",
"IIIIIZIZ",
"IIIZIZII",
"IIZIIZII",
"IIIZZIII",
"IIZIZIII",
"IIIIZZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IIIIIZII",
"IIIIZIII",
"ZIIIIIII",
"IZIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
5.5,
1.5,
19,
14.5,
14.5,
6,
7.5,
-1
] | 0.977034 | [
0.4621200799157078,
0.9602839726493494,
1.0371216398864838,
-0.2771472614148176,
1.5502854236584591,
0.05478766314824232,
2.0270665855362484,
0.8086672152402733,
1.626482565654,
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1.5389205452174688,
0.023243864098932004,
0.6780255439029278,
-0.006324178265194772,
1.9... | {
"n_parameters": 46,
"n_qubits": 8,
"optimal_eigenvalue": -59,
"target_ratio": 0.97,
"target_value": -57.23
} | 18 |
b3430a7a5a7846c97441f35820d47c84 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [33, 97], "expectation_value": -4.97415179855833, "params": [0.41900000000000004, 0.0033, 0.6977, 0.0037, -0.0013000000000000002, 0.3357, 0.0027, 0.4383, 0.0579, 0.44470000000000004, -0.0078000000000000005, 0.2838, 0.7018, 0.0976, 0.4174, 0.0022, 0.6976, 0.0048000000000000004, -0.0033, 0.3634, 0.0028, 0.4463... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + ... | 3 | 7 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0011110"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-1.108879766134531) q[0];
rz(-pi) q[0];
h q[1];
h q[2];
ry(-0.3516677727460137) q[2];
h q[3];
ry(-1.593249089494895) q[3];
h q[4];
ry(-0.3516677727460137) q[4];
cx q[1], q[4];
ry(0.3516677727460137) q[4];
cx q[1], q[4];
ry(1.2846215168941915) q[1];
ry(-0.686288719035... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZIIIIZ",
"IIIZIZI",
"IIZIIZI",
"IZIIIZI",
"ZIIIZII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
-1,
-1.5,
-1,
-0.5
] | 0.975713 | [
-1.593249089494895,
-0.7610973356940154,
-0.7033355454920274,
1.1866022252764412,
-0.43584830422961574,
0.19603858323550014,
0.3391240726814657,
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0.5983615500672997,
1.8625187327051302,
-0.365480050857801,
-0.07502380661129479,
-0.03747054021570255,... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 11 |
bfdf48849280d388eb48018fbf3b92a5 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"sour... | {"states": [21, 53], "expectation_value": -4.244328602472443, "params": [[[-0.0019, 0.4731], [0.0028, -0.49610000000000004], [0.0626, -0.40750000000000003], [0.8272, 0.0049], [0.8534, 0.002], [0.7246, -0.043500000000000004], [0.9042, -0.0031000000000000003], [0.7317, -0.038400000000000004], [0.9023, -0.0011]], [[-0.001... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * Z(1) + -2.0 * Z(0) + -1.5 *... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.0, "smallest_bitstrings": ["110101010", "111010010", "110110010", "111110000", "111001010", "111101000"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-1.310113288498742) q[0];
ry(0.24153487535425103) q[0];
rz(2.7537005133823733) q[0];
rz(-1.5533502219137307) q[1];
ry(0.0745151136237984) q[1];
rz(2.1867527512053098) q[1];
rz(1.3925726400192993) q[2];
ry(0.16467692288921268) q[2];
rz(-2.115919475015726) q[2];
rz(1.7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"IZIIIIIZI",
"IZIIIIZII",
"IIIIIZZII",
"IZIIIZIII",
"IIIZZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIIZIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-2,
-1.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
0
] | 0.975374 | [
-0.18426991522235714,
0.8963591265899024,
-0.29655109940164825,
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0.11698518017761227,
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0.03007793988712662,
0.2883699661333406,
0.196073627005907,
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1.4866673755326627,
0.024594913307991184,
0.6177499470202141,
-0.0208221957306340... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 30 |
e8fdec38f32f10530d269f6547919d57 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [57, 171], "expectation_value": -2.2013967690387943, "params": null, "bitstrings": ["11000110", "01010100"], "total_optimization_steps": 70, "probabilities": [0.237433390966907, 0.3490305674890666], "optimization_time": 125.75699877738953} | 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(4) @ Z(1)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(6) @ Z(2)) + 0.125 ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-3.125, -3.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.125, "smallest_bitstrings": ["10001001", "01010100"], "largest_eigenvalue": 5.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.17949889982137707) q[0];
h q[1];
ry(-0.14797600783105308) q[1];
h q[2];
ry(1.6432224921298026) q[2];
h q[3];
cx q[3], q[0];
ry(0.17949889982137707) q[0];
cx q[3], q[0];
ry(0.8547520083356644) q[0];
h q[4];
cx q[4], q[1];
ry(0.14797600783105308) q[1];
cx q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.3016) q[7], 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] = me... | [
"IIIIIIZZ",
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"IIIIIZZI",
"IIIIIZZZ",
"IIIIZIIZ",
"IIIZIIZI",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"IZZZIIII",
"ZIZIIIII",
"IIIIZZII",
"IZIIIZII",
"ZIIIIZII",
"IZIIZIII",
"ZIIIZIII",
"ZZIIIIII",
"IZIIZZII",
"ZIIIZZII",
"ZZIIIZII",
"ZZIIZIII",
"ZZIIZZII",
"IIIIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
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0.125,
0.125,
0.125,
0.125,
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0.125,
-0.25,
-0.25,
0.125,
-0.125,
-0.25,
-0.25,
0.125,
-0.125
] | 0.972171 | [
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1.6432224921298026,
0.9033872731020592,
-0.4118355892285082,
0.7485108173051358,
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0.32912167940678394,
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0.6268900816335382,
-0.009865066915267423,
0.06148966405270589,
0.2832723267589... | {
"n_parameters": 55,
"n_qubits": 8,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 50 |
caf35114cd2a6c8ee1f15868fb61caaf | 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": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [97, 112], "expectation_value": -4.496515655422481, "params": null, "bitstrings": ["0011110", "0001111"], "total_optimization_steps": 22, "probabilities": [0.06700924257678981, 0.9297458928378854], "optimization_time": 25.783968448638916} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -1.5 * Z(5) + -0.5 * Z(2) + -1.0 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["1000111", "0001111", "0101011", "0111100", "0011110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.3749281718942854) q[0];
h q[1];
ry(1.436274641141968) q[1];
h q[2];
rz(-pi) q[3];
ry(-0.0027262288444135988) q[3];
ry(-0.01206206755472066) q[4];
rz(-pi) q[4];
h q[5];
ry(-1.546424165316911) q[5];
h q[6];
ry(-0.6161330637769687) q[6];
cx q[2], q[6];
ry(0.61... | 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", ... | [
"IIIZIIZ",
"IIZZIII",
"IIZIIZI",
"IZIZIII",
"IZZIIII",
"IZIIIZI",
"IZIIZII",
"ZIIZIII",
"ZIZIIII",
"ZIIIZII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1.5,
-0.5,
-1.5,
-0.5,
-1
] | 0.994718 | [
-1.546424165316911,
-1.5348459439607316,
-1.450976241884169,
1.436274641141968,
1.3749281718942854,
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0.6835045182460581,
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0.5727281584325545,
-0.2863042567543411,
0.15136107694265455,
-0.19566383028535825,
-0.2450926275102824,
0.21137010648256874,
... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
1d36f605f450bd24c53bed4c61ab6422 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6... | {"states": [51, 35], "expectation_value": -0.7382915417013549, "params": [[-0.031400000000000004, -0.055400000000000005, -0.0425, -0.0505], [0.0221, 0.060200000000000004, 0.054, 0.054900000000000004]], "bitstrings": ["1001100", "1011100"], "total_optimization_steps": 10, "probabilities": [0.014390559050186762, 0.014899... | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(1) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -1.0 * Z(3) + -0.25 * Z(0) + -0.75 * Z(4) + 0.25 * Z(2) + 0.25 *... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["1011100", "1001100"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.44173747837386507) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(-0.44173747837386507) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.005603409297500889) q[4];
cx q[0], q[4];
cx q[4], q[2];
rz(0.005603409297500889) q[2];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZZIII",
"IIZIIIZ",
"IIZIZII",
"IIIIZZI",
"ZIIIIIZ",
"ZIIIIZI",
"IZIZIII",
"IZZIIII",
"IZIIIZI",
"ZZIIIII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIZII",
"IIIIIZI",
"ZIIIIII",
"IZIIIII"
] | [
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-1,
-0.25,
-0.75,
0.25,
0.25,
0.25,
1.25
] | 0.970536 | [
-0.44173747837386507,
0.005603409297500889,
0.05836178307980425,
-1.201402489306377,
-0.9317048549953064,
0.7320633774444789,
0.772973794919639,
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0.06520245980832098,
0.12228192436712314,
-0.10637680738364871,
-0.2779417698846335,
1.5718265483768925... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 91 |
75e38f85452ebc08ee898a0ac8b18be5 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target"... | {"states": [0, 5], "expectation_value": -3.999905744134601, "params": null, "bitstrings": ["11111", "11010"], "total_optimization_steps": 15, "probabilities": [1.726280242127105e-05, 0.9999394822330047], "optimization_time": 8.328249216079712} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.5 * Z(3) + -1.0 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["11010"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-1.5895904143898432) q[0];
ry(-0.061831462572773416) q[1];
rz(-pi) q[1];
ry(-3.1211665634162276) q[2];
rz(-pi) q[2];
ry(-0.05067198498523348) q[3];
rz(-pi) q[3];
h q[4];
ry(1.4339466124722804) q[4];
cx q[4], q[3];
ry(0.12544642904227837) q[3];
cx q[4], q[3];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1,
-1.5,
-1
] | 0.997795 | [
-1.5895904143898432,
-1.4880487849715875,
-1.3946779127673847,
1.4339466124722804,
-0.25089285808455675,
0.23284724829810097,
0.08137959326879629,
-0.04183215850107143
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
e33d6f1fc62bdc37a895a648cbf909d1 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "ta... | {"states": [127, 112], "expectation_value": -0.3513412108482391, "params": [[0.0327], [-0.0304]], "bitstrings": ["0000000", "0001111"], "total_optimization_steps": 10, "probabilities": [0.0088403058568754, 0.008877292498974863], "optimization_time": 10.43225884437561} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(3)) + -2.5 * (Z(4) @ Z(5)) + 1.0 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -2.0 * Z(5) + 1.5 * Z(3) + -2.0 * Z(6) + 1.5 * Z(4) | 5 | 7 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["0001111"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.172440072829037) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.172440072829037) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.031941857226234216) q[1];
rx(-1.103507315488369) q[1];
rz(-1.172440072829037) q[2];
cx q[0], q[2];
rz(0.0319... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0)... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IZIZIII",
"ZZIIIII",
"ZIIZIII",
"IZZIIII",
"IIZZIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIIZIII",
"ZIIIIII",
"IIZIIII"
] | [
-1.5,
-1.5,
-1.5,
-2.5,
-2.5,
-2.5,
-2.5,
1,
-2.5,
0.5,
0.5,
0.5,
-2,
1.5,
-2,
1.5
] | 0.684074 | [
-1.172440072829037,
-0.753228570136881,
-0.460136997912491,
0.031941857226234355,
-0.1475340401282707,
0.13187821518191614,
-1.1035073154883688
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 201 |
ea2e3a0d0378f3ac5c8809953eb5c8b9 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [320, 334], "expectation_value": -1.1990471861082024, "params": [[[0.604, -0.0118, 0.0039000000000000003, 0.0009000000000000001], [0.5966, 0.0234, 0.6082000000000001, -0.0085], [0.5949, -0.0298, 0.5946, -0.11560000000000001], [0.1095, 0.5714, 0.199, 0.3473], [0.3869, 0.2369, 0.3942, 0.42350000000000004], [0.... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(8) @ Z(3)) + 0.125 * (Z(7) @ Z(5)) + 0.... | 11 | 9 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.375, "smallest_bitstrings": ["101100100", "001110100", "100100101", "001110010", "011110000", "001101100", "010110001"], "largest_eigenvalue": 6.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.03049018985054917) q[0];
rz(-0.652895808350848) q[0];
rx(1.0828600210922614) q[1];
rz(0.11898671126681482) q[1];
rx(0.9878975468726287) q[2];
rz(0.489093148051591) q[2];
rx(0.02089852220290524) q[3];
rz(0.5743749621607193) q[3];
rx(-0.12966988553380707) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIZZIIIZ",
"IIZIZIIII",
"IIIZIZIII",
"IZIIIZIII",
"ZIIIIZIII",
"IZIZIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IZIZIZIII",
"ZIIZIZIII",
"ZZIIIZIII",
"ZZIZIIIII",
"ZZIZIZIII",
"IIZIIIIZI",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
0,
-0.25,
-0.625,
-0.25,
0.125,
-0.25,
0.125,
-0.125
] | 0.976671 | [
0.030490189850549174,
-0.6018924218358704,
1.0828600210922616,
0.0027489327041744227,
0.9878975468726285,
0.3026425215455413,
0.020898522202905244,
0.7501048123061079,
-0.1296698855338071,
-0.06885013052475858,
0.9457023206511923,
0.29780809922888296,
1.1966749650026702,
0.0110733309894557... | {
"n_parameters": 58,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 16 |
30e28b56cad01a233ddf0894e9b7eaa8 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 5}, {"weight": 12, "source": 1, "target": 2}, {"weight": 16, "source": 1, "target": 4}, {"weight": 5... | {"states": [121, 118], "expectation_value": -9.520438788717394, "params": [[-0.0349, 0.0521], [0.053000000000000005, -0.0347]], "bitstrings": ["10000110", "10001001"], "total_optimization_steps": 10, "probabilities": [0.006560447746946507, 0.007930496376505941], "optimization_time": 3.6433324813842773} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(7) @ Z(1)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) @ Z(5)) + 3.5 * (Z(7) @ Z(6)) + 10.5 * Z(1) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 133.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0007807485922482725) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.0007807485922482725) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.0007807485922482725) q[3];
cx q[0], q[3];
rz(1.5622291020438395) q[0];
rx(1.4230915336570904) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIZII",
"IIZIIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
10.5,
4,
13,
15,
6,
16,
11,
8.5
] | 0.972429 | [
0.0007807485922482725,
-1.3071662634992012,
1.5622291020438395,
-1.2862359945840747,
-1.0589387496736589,
0.9999795518288292,
-1.3272444682674918,
-1.4806765325928763,
1.2864952173532251,
1.4230915336570904,
0.5883822012299551,
1.5647805208249972,
0.48419941054809135,
1.7953393898312842,
... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 47 |
ab341360a725e6b2f6204b135ea8e845 | 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": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 6}, {"capacity": 1, "source": 3, ... | {"states": [128, 127], "expectation_value": -5.997186558444109, "params": [[[-0.0055000000000000005, -0.0028], [0.0002, 0.0291], [0.0058000000000000005, 0.0028], [0.0033, 0.003], [0.007, -0.0028], [0.0006000000000000001, -0.0028], [-1.5168000000000001, 0.0044], [0.3317, 0.0045000000000000005]], [[-0.0049, 0.2732], [0.0... | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(6)) + -0.5 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.75 * (Z(7) @ Z(3)) + 0.5 * Z(4) + -0.25 * Z(0) + 0.0 * Z(1) ... | 15 | 8 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.3616489854973577) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.06786389583435384) q[1];
cx q[4], q[1];
h q[5];
cx q[4], q[5];
rz(-0.06786389583435384) q[5];
cx q[4], q[5];
cx q[1], q[5];
cx q[4], q[2];
rz(0.08036... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IIIZIIIZ",
"IIIZIIZI",
"IIZZIIII",
"IIZIIIZI",
"IIIZIZII",
"IZIIIZII",
"IIIZZIII",
"IZIIZIII",
"ZIIZIIII",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIIIZIII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII",
"IIIIZIII",
"ZIIIIIII"
] | [
-0.75,
-0.5,
-0.5,
-0.5,
-0.25,
-0.75,
-1,
-0.75,
-0.5,
1,
-0.25,
-0.75,
0.5,
-0.25,
0,
0,
0.5,
-0.75,
0.5,
-0.5
] | 0.85084 | [
-0.3616489854973577,
-0.06786389583435384,
0.08036266502885292,
0.014122342550911144,
-0.06025999169762382,
-2.122194135643358,
-0.9339622963225644,
1.2077324071539282,
0.505924878081681,
0.09722562124955719,
0.20834114901752002,
0.03267940985594221,
-1.292535824377209,
1.3866019892713894,... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 500 |
11576eab70c2ec583415b5e8bd58f9e2 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": ... | {"states": [12, 28], "expectation_value": -2.7704827423857648, "params": [0.0016, 0.48300000000000004, 0.6231, 0.18960000000000002, 0.7981, 0.0006000000000000001, 0.8034, 0.0021000000000000003, 0.0005, 0.5271, 0.1419, -0.27840000000000004, 0.0021000000000000003, 0.49450000000000005, 0.5759000000000001, 0.198, 0.8008000... | 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(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) + 0.0 * Z(2) | 3 | 6 | 3 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3716796306065885) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.3716796306065885) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.3716796306065885) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.3716796306065885) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"IZZIII",
"ZIIIZI",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-1,
-0.5,
0
] | 0.698312 | [
-0.3716796306065885,
0.8727381071204077,
0.7179543098390148,
-0.19857375753212136,
0.8889599314407369,
-1.5807265779890087,
2.4860629174438844,
1.2068334987105587,
0.4724410059780224
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 259 |
b93e7e87e2621c92c7ba04b041c49bf3 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [56, 41], "expectation_value": -3.9999374799845198, "params": null, "bitstrings": ["000111", "010110"], "total_optimization_steps": 26, "probabilities": [1.6356460472479446e-05, 0.9999687407489248], "optimization_time": 19.383864641189575} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + -1.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["010110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
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]... | 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",
"IIZIZI",
"IIZZII",
"IZIZII",
"IIIZZI",
"ZZIIII",
"ZIIIZI",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1,
-1,
-0.5
] | 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 |
520b4019fb4986d4ab684733a5ebe8d8 | 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": 6, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 6}, {"weight": 18, "source": 1, "target": 5}, {"weight": 9, "source": 2, "targ... | {"states": [412, 220], "expectation_value": -38.44904712405622, "params": null, "bitstrings": ["001100011", "100100011"], "total_optimization_steps": 100, "probabilities": [0.11044993350846113, 0.31278172216876643], "optimization_time": 181.3323633670807} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(6)) + 10.0 * Z(1) + 3.0 * Z(0) + 13.5 * Z(2) + 13.0 * Z(4) + 9... | 1 | 9 | 4 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 136.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.4463129710864574) q[0];
rz(-pi) q[1];
ry(-1.2426624200713647) q[1];
ry(-1.1969951662422582) q[2];
rz(-pi) q[2];
h q[3];
ry(1.295402841617871) q[3];
rz(-pi) q[4];
ry(-1.09230066430897) q[4];
ry(-1.0797131317453423) q[5];
rz(-pi) q[5];
h q[6];
ry(7.916716500... | null | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(62.9199) 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] = ... | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIZIIZIII",
"IIIZIZIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIIZIIII",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
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,
3,
13.5,
13,
9,
10,
12.5,
6.5,
5
] | 0.970481 | [
62.424019866519146,
62.83252087601606,
37.4514583039102,
7.916716500547319,
62.899917161244026,
-5.327529590648128,
17.8716104702074,
-0.4868593117644719,
-3.671026591069804,
2.913608838439612,
-13.419835438932315,
14.092630322700535,
2.590805683235742,
-1.140616245352763,
0.271174301315... | {
"n_parameters": 77,
"n_qubits": 9,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 50 |
7fc1aaca9b2555712646afcde4133c5a | matching | adaptive_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}], "edges": [{"... | {"states": [190, 185], "expectation_value": -32.73979184451385, "params": null, "bitstrings": ["101000001", "101000110"], "total_optimization_steps": 100, "probabilities": [0.08448358834702649, 0.18688122142920033], "optimization_time": 162.3696448802948} | 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(8) @ Z(7)) + 2.0 * Z(0) + 7.5 * Z(1) + 0.5 * Z(2) + 5.5 * Z(3) + 15.0 * Z(4) + 11.0 * Z(5) + 8.5 * Z(6) + 1.5 * Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-67.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.0, "smallest_bitstrings": ["101000110"], "largest_eigenvalue": 102.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.02309472339120279) q[0];
ry(-2.4630389514646778) q[1];
rz(-pi) q[1];
h q[2];
ry(-0.2704953174133071) q[2];
ry(-2.6452522760113837) q[3];
rz(-pi) q[3];
h q[4];
ry(26.81929168188027) q[4];
cx q[4], q[1];
ry(-0.15327626366460861) q[1];
cx q[4], q[1];
ry(0.646... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 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(26.9543) 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] = ... | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIIIZ",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
2,
7.5,
0.5,
5.5,
15,
11,
8.5,
1.5,
0.5
] | 0.970867 | [
26.81929168188027,
0.7389663610051724,
0.30655252732921723,
0.7071843024188195,
1.015911826419828,
0.47961159703678075,
1.189688704359413,
1.2921521591363707,
-0.04618944678240558,
-0.612481042150886,
0.14198537974262937,
0.5039189075988507,
-0.188878336985381,
-0.5409906348266142,
0.087... | {
"n_parameters": 78,
"n_qubits": 9,
"optimal_eigenvalue": -67,
"target_ratio": 0.97,
"target_value": -64.99
} | 227 |
e470ffc38e777fb704568e67195343ac | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 2, "target": 6}, {"source": 2, "target": 7}, {"source": 3, "ta... | {"states": [109, 621], "expectation_value": -4.111738416003755, "params": [[[0.5583, 0.0024000000000000002], [-0.0165, -0.7908000000000001], [0.0011, 1.1772], [1.0486, -0.0016], [1.0408, -0.0035], [0.004, -0.9628000000000001], [1.0463, -0.0019], [1.0431000000000001, -0.0018000000000000002], [0.0, 0.6962], [1.0484, 0.00... | 0.5 * (Z(1) @ Z(0)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.25 * (Z(8) @ Z(0)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(8) @ Z(9)) + -0.25 * (Z(8) @ Z(9) @ Z(0)) + 0.5 * (Z(3) @ Z(8)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 ... | 1 | 10 | 3 | {"smallest_eigenvalues": [-4.5625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5625, "smallest_bitstrings": ["0110010010"], "largest_eigenvalue": 7.4375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rz(1.511844380701815) q[0];
ry(2.9665504506020355) q[0];
rz(-1.7351184957194183) q[0];
rz(-0.3007069215820568) q[1];
ry(0.07330391353020932) q[1];
rz(0.2551898626471658) q[1];
rz(-0.24938121123992474) q[2];
ry(0.08898076195701371) q[2];
rz(3.021664033489584) q[2];
rz(2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIZZZII",
"IIIZZIIIII",
"IIZIZIIIII",
"IZIIIIIIIZ",
"ZIIIIIIIIZ",
"ZZIIIIIIII",
"ZZIIIIIIIZ",
"IZIIIIZIII",
"IIIIIZIIZI",
"IIIZIIIIZI",
"IIZIIIIIZI",
"ZIIIIIIIZI",
"IIIZIZIIII",
"IIZIIZIIII",
"ZIIIIZIIII",
"IIZZIIIIII"... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
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.... | 0.976315 | [
0.9143416111509317,
0.06885984809571857,
-0.3232408834652988,
-0.6858678291733943,
-0.15588055597853756,
1.360594712328407,
1.0157895919660154,
-0.056329030434435975,
1.0672260451029836,
-0.05559770014560427,
-0.14880381072386858,
-1.1957184406962178,
0.8301356388114832,
0.2446135493438942... | {
"n_parameters": 54,
"n_qubits": 10,
"optimal_eigenvalue": -4.5625,
"target_ratio": 0.97,
"target_value": -4.425625
} | 9 |
4e8bcf0a7a0b46c7525d580e9deba4d9 | 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": [231, 167], "expectation_value": -76.69444486333519, "params": [0.0023, 0.8818, 1.4927000000000001, -0.2059, 0.7571, -0.45020000000000004, 1.5003, -0.29460000000000003, 0.3478, -0.48400000000000004, 0.0025, 0.9801000000000001, 1.4922, -0.0025, 1.484, -0.0028, 1.4888000000000001, 0.1424, 0.0022, 0.00180000000... | 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(2) @ Z(1)) + 6.0 * (Z(3) @ Z(1)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(7) @ Z(1)) + 6.0 * (Z(7) @ Z(2)) + 6.0 * (Z(7) @ Z(3)) + 6.0 * (Z(8) @ Z(4)) + 6.0 * (Z(8) @ Z(7)) + 6.0 * (Z(6) @ Z(7)) + 6.0 * (Z(6) @ Z(8)) + 6.0 * (Z(5) @ Z(6)) + 18.5 * Z(1) + -2.5 * Z(0) + 11.0 *... | 18 | 9 | 2 | {"smallest_eigenvalues": [-84.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["101011000"], "largest_eigenvalue": 175.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.08672735944287017) q[0];
rz(1.075108137701699) q[0];
rx(1.722435713135351) q[1];
rz(-0.13235194817178259) q[1];
rx(0.47117901558536357) q[2];
rz(-0.2631847769320555) q[2];
rx(1.7491560601244505) q[3];
rz(-0.15022872452031516) q[3];
rx(-0.017486898073395405) 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, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIZZIII",
"IZIIIIIZI",
"IZIIIIZII",
"IZIIIZIII",
"ZIIIZIIII",
"ZZIIIIIII",
"IZZIIIIII",
"ZIZIIIIII",
"IIZZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIZIIIIII",
"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
18.5,
-2.5,
11,
21,
3,
24,
12,
12.5,
-2
] | 0.976091 | [
0.08672735944287016,
0.9160914837895809,
1.722435713135351,
-0.13235194817178259,
0.47117901558536357,
-0.2631847769320555,
1.7491560601244505,
-0.15022872452031516,
-0.017486898073395405,
-0.19745755949232363,
-0.033272201946820026,
1.2624535478492416,
1.4611525906754463,
0.01523287107900... | {
"n_parameters": 50,
"n_qubits": 9,
"optimal_eigenvalue": -84.5,
"target_ratio": 0.97,
"target_value": -81.965
} | 8 |
e877d3b2f9804d2377a79bff7b887b67 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 8, "source": 0, "t... | {"states": [118, 110], "expectation_value": -7.88457948987733, "params": [[-0.046700000000000005], [0.060500000000000005]], "bitstrings": ["10001001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.006785125988907291, 0.007427211468197245], "optimization_time": 1.8233470916748047} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 17.5 * Z(1) + 8.5 * Z(0) + 12.0 * Z(2) + 7.0 * Z(3) + 1.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-64.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 137.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.017981262724299375) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.017981262724299375) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.017981262724299375) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.017981262724299375) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZZIII",
"IIZIIIIZ",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
17.5,
8.5,
12,
7,
1,
13,
16.5,
7.5
] | 0.970765 | [
0.017981262724299375,
1.212573707341711,
-1.1550771248156908,
1.124609087092233,
-1.1078500346923374,
1.1151316255952932,
0.7676345067154235,
1.0291231689972888,
-1.2517005821613711,
-0.5279065003893286,
0.022474379738371658,
0.4465780795699846,
-0.8665322393723809,
0.03468356842517979,
... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -64,
"target_ratio": 0.97,
"target_value": -62.08
} | 63 |
4513161575235774930 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1, 2, 4, 6, 7, 8, 10], [1, 2, 4, 6, 8, 9, 10], [8, 10, 3, 6], [1, 2, 3, 4, 5, 6, 7, 10], [0, 2, 3, 8, 10], [8, 5]]} | {"states": [742, 750], "expectation_value": -1.4098239652313365, "params": [0.17950000000000002, 0.1821, 1.5730000000000002, 1.5746, 0.19260000000000002, 0.19720000000000001, 1.5670000000000002, 1.5685, 1.5799, 1.5559, 1.5873000000000002, 1.5601, 0.0031000000000000003, 0.0031000000000000003, 0.8035, 0.8096, 1.551000000... | 0.017857142857142856 * (Z(0) @ Z(1)) + 0.05952380952380952 * (Z(3) @ Z(1)) + 0.06785714285714287 * (Z(3) @ Z(0)) + 0.05952380952380952 * (Z(5) @ Z(1)) + 0.017857142857142856 * (Z(5) @ Z(0)) + 0.05952380952380952 * (Z(5) @ Z(3)) + 0.05952380952380952 * (Z(7) @ Z(1)) + 0.017857142857142856 * (Z(7) @ Z(0)) + 0.05952380952... | 13 | 11 | 1 | {"smallest_eigenvalues": [-1.497619047619048], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.4976190476190476, "smallest_bitstrings": ["10100010001"], "largest_eigenvalue": 5.500000000000003} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.01209231639350461) q[0];
rz(-0.3768400280917562) q[0];
ry(1.568068314778061) q[1];
ry(-0.0339925352203087) q[2];
ry(1.7804280042335217) q[3];
ry(1.4793084174456719) q[4];
ry(1.714501174302893) q[5];
ry(0.003924562373762963) q[6];
ry(1.3965847345656968) q[7];
ry(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": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIZIIIZI",
"IIIIIZIIIIZ",
"IIIIIZIZIII",
"IIIZIIIIIZI",
"IIIZIIIIIIZ",
"IIIZIIIZIII",
"IIIZIZIIIII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIZIIIIZIII",
"IIZIIZIIIII",
"IIZZIIIIIII",
"IZIIIIIIIZI",
"IZIIIIIIIIZ",
"IZIIIIIZIII",
"IZIIIZIII... | [
0.017857142857142856,
0.05952380952380952,
0.06785714285714287,
0.05952380952380952,
0.017857142857142856,
0.05952380952380952,
0.05952380952380952,
0.017857142857142856,
0.05952380952380952,
0.05952380952380952,
0.03571428571428571,
0.017857142857142856,
0.03571428571428571,
0.03571428571... | 0.974273 | [
-0.01209231639350461,
1.568068314778061,
-0.0339925352203087,
1.7804280042335217,
1.4793084174456719,
1.714501174302893,
0.003924562373762963,
1.3965847345656968,
1.1737042868104774,
1.5560729370499018,
0.5561701252789131,
-0.7536800561835124,
-0.004177895309927099,
0.019582268734259514,
... | {
"n_parameters": 41,
"n_qubits": 11,
"optimal_eigenvalue": -1.497619047619048,
"target_ratio": 0.97,
"target_value": -1.4526904761904766
} | 7 |
df4ecb6ebc48c9049ce6597f2a05ee78 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 13, "source": 1, "target": 7}, {"weight": 20, "source": 1, "target": 6}, {"weight": 18, "source": 1, "tar... | {"states": [246, 244], "expectation_value": -29.609851033972664, "params": [[0.0236, -0.0039000000000000003, -0.0006000000000000001], [-0.060700000000000004, -0.0497, -0.059300000000000005]], "bitstrings": ["100001001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.005967944912748399, 0.006969978724... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(4)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-99.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.5, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 200.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.06360886017765513) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(0.06360886017765513) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[3];
rz(0.06360886017765513) q[3];
cx q[2], q[3];
cx q[2], q[1];
rz(0.063608860177655... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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",
"IIIIZIZII",
"IIIIZIIIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIZZIII",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIIZIZI",
"IIIZIIIZI",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"ZIIIZIIII",
"ZIIIIZIII",
"ZIZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIZIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
22.5,
9.5,
24.5,
23.5,
22,
4,
12.5,
0.5,
5
] | 0.973782 | [
0.06360886017765513,
-1.5563439684684441,
1.389431623627156,
-1.70286799248886,
-1.6149385518993675,
-1.587244180675205,
1.2314295841410297,
-1.363684678698497,
1.3524507360679219,
1.6479140891865915,
1.6801288961870093
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -99.5,
"target_ratio": 0.97,
"target_value": -96.515
} | 48 |
50803b752054f0512687e537ee7368f9 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}]} | {"states": [0, 20], "expectation_value": -3.4999057430342013, "params": null, "bitstrings": ["11111", "01011"], "total_optimization_steps": 15, "probabilities": [1.7262809281757173e-05, 0.9999394817654882], "optimization_time": 5.309578895568848} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(2) + -1.0 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["01011"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-3.118963683468091) q[0];
ry(-0.017918109517936636) q[1];
rz(-pi) q[1];
h q[2];
ry(1.5232555292397325) q[2];
ry(-0.11982451051349112) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.0455035030484382) q[3];
cx q[2], q[3];
cx q[2], q[0];
ry(-0.07016976767686646) ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IZZII",
"ZIZII",
"IZIIZ",
"IIIZI",
"IIIIZ",
"IZIII",
"IIZII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-0.5,
-1
] | 0.997671 | [
-1.5523952299069044,
-1.4054683132329673,
1.5232555292397325,
-0.0910070060968764,
0.14033953535373292,
-0.02773759371322497,
-0.0009659747401112133
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
6e936c9031f4ef335042a74fa41c3e34 | 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": 2, "source": 3, "target": 2}, {"capacity": 2, "source": 3, "target": 6... | {"states": [29, 35], "expectation_value": -0.11787647163397884, "params": [[-0.06280000000000001], [0.06860000000000001]], "bitstrings": ["1100010", "1011100"], "total_optimization_steps": 10, "probabilities": [0.008553804959908862, 0.008561698390987913], "optimization_time": 1.5957746505737305} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(2) @ Z(3)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + 0.0 * Z(4) + -0.25 * Z(0) + 0.25 * Z(5) + 0.5 * Z(3) + -0.5 * Z(2) + 0.25 * Z(6) + -0.25 * Z(1) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.0, "smallest_bitstrings": ["1000000", "1100000", "1010100", "1100010", "1100100", "1010000", "1100110", "1000100", "1110000", "1110010", "... | 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(0.006599739930172845) q[0];
cx q[4], q[0];
cx q[4], q[3];
rz(0.006599739930172845) q[3];
cx q[4], q[3];
cx q[3], q[2];
rz(0.006599739930172845) q[2];
cx q[3], q[2];
rz(0.006599739930173154) q[2];
rx(1.52576029632... | 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[0], q[5];
rz(x0)... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IZIIIIZ",
"IIZZIII",
"IIIZZII",
"ZIIIIIZ",
"ZZIIIII",
"ZIIZIII",
"IZIIIZI",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIIIZII",
"ZIIIIII",
"IIIIIZI"
] | [
-0.5,
-0.5,
-0.5,
-0.5,
1.25,
-0.5,
-0.5,
-0.25,
0,
-0.25,
0.25,
0.5,
-0.5,
0.25,
-0.25
] | 0.896155 | [
0.006599739930172845,
-0.059218668570738146,
0.782628674871177,
-1.5687868123923565,
-1.565222460442388,
-1.5704982977894495,
1.5257602963225112
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 198 |
833c89e8aca800e5707fb47ea63f9088 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [0, 4], "expectation_value": -2.9959815914125336, "params": null, "bitstrings": ["11111", "11011"], "total_optimization_steps": 10, "probabilities": [0.003927302792350724, 0.9960139005851092], "optimization_time": 5.561049699783325} | 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(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -0.75 * Z(0) + -0.75 * Z(1) + 0.0 * Z(2) + -0.75 * Z(3) + -0.75 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["11011"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(-0.06213685427517941) q[0];
rz(0.3900229257122323) q[0];
rx(-0.05273946885872852) q[1];
rz(0.8212831248228313) q[1];
rx(1.5337574379224534) q[2];
rz(0.18090279389762448) q[2];
rx(-0.062136854275179405) q[3];
rz(-0.7491475642969406) q[3];
rx(-0.062136854275179405) q[4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5486) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZIZ",
"IIZZI",
"IIZZZ",
"IZZII",
"ZIZII",
"ZZIII",
"ZZZII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.75,
-0.75,
0,
-0.75,
-0.75
] | 0.980175 | [
-0.062136854275179405,
0.5639668344247326,
-0.05273946885872852,
0.8212831248228313,
1.5337574379224534,
0.18090279389762448,
-0.7491475642969406,
0.5294660297481446,
-0.3478878174250011,
0.3529348580960014,
-0.022087508376134993,
-0.4435758830602262,
-0.5770407396054762,
-0.16077012495042... | {
"n_parameters": 24,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 6 |
43f346f2449aaad74bd3d1617b2cab32 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [21, 22], "expectation_value": -3.4999003241120192, "params": null, "bitstrings": ["101010", "101001"], "total_optimization_steps": 26, "probabilities": [1.7187859465320965e-05, 0.9999500713236515], "optimization_time": 18.555853605270386} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["101001", "110010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.4099597405997399) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.4099597405997399) q[3];
cx q[0], q[3];
rz(0.5379425344598752) q[3];
rx(-1.0181627007712197) q[3];
h q[4];
cx q[2], q[4];
rz(0.4099597405997399) q[4];
cx q[2], ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IIIZZI",
"ZZIIII",
"ZIIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0,
-1,
-0.5,
-0.5
] | 0.756698 | [
0.4099597405997399,
-0.5276923746122105,
0.5379425344598753,
-0.15590122747147514,
-1.0181627007712197,
0.9194045375777744,
-1.0915528273895585,
-0.4028415862936717,
-0.5859290117404532
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 223 |
92045736fd43235a2eebb6a82d4c1ba7 | 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": [2695, 2691], "expectation_value": -106.58609228350123, "params": [0.6891, 0.1376, 0.3771, 0.223, 0.6572, 0.2534, 0.4728, 0.37520000000000003, 0.6933, 0.1301, 0.0023, 0.368, 0.0016, 0.41100000000000003, -0.0006000000000000001, 0.5009, -0.003, 0.521, 0.3836, 0.17200000000000001, 0.6929000000000001, 0.0043, 0.... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(4) @ Z(1)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(10) @ Z(1)) + 8.0 * (Z(10) @ Z(4)) + 8.0 * (Z(9) @ Z(0)) + 8.0 * (Z(9) @ Z(10)) + 8.0 * (Z(11) @ Z(3)) + 8.0 * (Z(11) @ Z(10)) + 8.0 * (Z(11) @ Z(9)) + 11.0 * Z(1) + 8.5 * Z(0) + 0.0 * Z(2) + 1.5 * Z(3) + 15.5 * Z(4) + -3.5... | 18 | 12 | 4 | {"smallest_eigenvalues": [-138.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -125.5, "smallest_bitstrings": ["010101111100"], "largest_eigenvalue": 211.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.7821709363806342) q[0];
rz(-0.04127936900884599) q[0];
rx(0.07807912875346162) q[1];
rz(0.2531565557017292) q[1];
rx(1.1049706224299054) q[2];
rz(0.3010986231476373) q[2];
rx(0.22632987422940154) q[3];
rz(0.4021587266697483) q[3];
rx(0.9101881779268903) q[4];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZZII",
"IIIIIIIZIIZI",
"IIIIIIZZIIII",
"IZIIIIIIIIZI",
"IZIIIIIZIIII",
"IIZIIIIIIIIZ",
"IZZIIIIIIIII",
"ZIIIIIIIZIII",
"ZZIIIIIIIIII",
"ZIZIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIIIZIII",
"IIIIIIIZIIII",
"IIIIIIZIIIII",
"IZIIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
11,
8.5,
0,
1.5,
15.5,
-3.5,
21.5,
11.5,
17,
-12.5,
-15,
-13
] | 0.976206 | [
0.7821709363806342,
-0.04741905348101952,
0.07807912875346162,
0.2531565557017292,
1.1049706224299054,
0.3010986231476373,
0.22632987422940154,
0.4021587266697483,
0.9101881779268903,
0.30772233393729986,
-0.13985345529966237,
0.2780123289078994,
-0.08114511068518357,
0.515039891870315,
... | {
"n_parameters": 135,
"n_qubits": 12,
"optimal_eigenvalue": -138.5,
"target_ratio": 0.97,
"target_value": -134.345
} | 11 |
06224520ded029e940b1fde3f5ab3e3b | 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": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [35, 42], "expectation_value": -2.9963973626076346, "params": null, "bitstrings": ["011100", "010101"], "total_optimization_steps": 23, "probabilities": [0.06635256276067618, 0.9303255856453795], "optimization_time": 23.183162689208984} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["010101", "011100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.4604609545342588) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(0.4604609545342588) q[1];
cx q[0], q[1];
rz(-0.5961919399360327) q[0];
rx(-0.8240718412880712) q[0];
cx q[3], q[2];
rz(0.4604609545342588) q[2];
cx q[3], q[2];
h... | 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",
"IIIIZZ",
"IZIIZI",
"IIZZII",
"ZIZIII",
"ZIIZII",
"IIZIII",
"IIIIIZ",
"IIIIZI",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
0,
-0.5,
-0.5
] | 0.720304 | [
0.4604609545342588,
-1.0130158982300328,
-0.5961919399360321,
0.10159268481627397,
-0.8240718412880712,
1.653056793347183,
-2.4998589588665014,
-1.3174178256009759,
-0.48477462442147073
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 246 |
bf35bb0ee26987f1d2467a2fc79936b2 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target":... | {"states": [1024, 1023], "expectation_value": -19.011457617662433, "params": [[[0.0235, 0.43110000000000004], [-0.0021000000000000003, 0.0056], [-0.0004, 0.0024000000000000002], [0.0046, -0.0026000000000000003], [0.002, 0.0023], [0.0114, 0.0021000000000000003], [0.0053, 0.0022], [0.0025, 0.0027], [0.0029000000000000002... | -0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(5) @ Z(0)) + -1.5 * (Z(8) @ Z(4)) + -0.75 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(5)) + -0.25 * (Z(10) @ Z(0)) + -1.0 * (Z(1) @ Z(4)) + -0.75 * (Z(1) @ Z(8)) + -1.0 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(1)) + -1.5 * (Z(3) @ Z(8)) + -1.0 * (Z(6) @ Z(4)) + -1.0 * (Z(6) @ Z(10)) + -1.25 * (Z(6) ... | 15 | 11 | 4 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.0587479723800077) q[0];
ry(0.045619124073496733) q[1];
ry(0.13611796310505206) q[2];
ry(0.021832512411401776) q[3];
ry(0.01371899943240217) q[4];
ry(0.16404546467156067) q[5];
ry(0.030065456539936888) q[6];
ry(-0.031741839848071635) q[7];
ry(0.012421494673437526)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIZIIIZIIII",
"IIZIIIIIIIZ",
"IIZIIZIIIII",
"ZIIIIIIIIIZ",
"IIIIIIZIIZI",
"IIZIIIIIIZI",
"IZZIIIIIIII",
"IZIIIIIIIZI",
"IIZIIIIZIII",
"IIIIZIZIIII",
"ZIIIZIIIIII",
"IIIIZIIZIII",
"IIIIIIZIZII",
"IIIIIIIIZIZ",
"ZIIIIIIIZII",
"IZIIIIIIZII",
"ZIIZIIIII... | [
-0.5,
-0.25,
-1.5,
-0.75,
-0.75,
-0.25,
-1,
-0.75,
-1,
-1.5,
-1.5,
-1,
-1,
-1.25,
-1.5,
2,
-1.25,
-1,
-1.25,
-1.5,
-1,
-0.5,
-0.25,
0.5,
-2.25,
1.25,
2.25,
0.5,
-1.25,
1.25,
-2.75,
1.25
] | 0.970834 | [
-0.0587479723800077,
0.045619124073496733,
0.13611796310505206,
0.021832512411401776,
0.01371899943240217,
0.16404546467156067,
0.030065456539936888,
-0.031741839848071635,
0.012421494673437526,
-0.3209074638097092,
-0.09293231584157755,
0.682879162137263,
0.06599082921530797,
-0.066681450... | {
"n_parameters": 66,
"n_qubits": 11,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 63 |
0d8e08edacb19af1eadafa58f3724383 | 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": 9, "source": 0, "target": 1}, {"weight": 20, "source": 1, "target": 7}, {"weight": 10, "source": 2, "target": 3}, {"weight": 11, "source": 2, "tar... | {"states": [222, 186], "expectation_value": -18.504163391912055, "params": [[-0.035, -0.0159], [0.07050000000000001, 0.0695]], "bitstrings": ["100100001", "101000101"], "total_optimization_steps": 10, "probabilities": [0.006705284963724703, 0.007775395457858166], "optimization_time": 7.135775089263916} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 10.0 * Z(1) + 0.0 * Z(0) + 14.5 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-68.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["101000101"], "largest_eigenvalue": 145.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.012784246995398676) q[0];
cx q[1], q[0];
rz(1.1468271443663136) q[0];
rx(1.4195474064205706) q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.012784246995398676) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(-0.012784246995398676) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IIIZIIZII",
"IIZIIZIII",
"IIZIZIIII",
"IZIIIZIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10,
0,
14.5,
9.5,
12,
10,
9.5,
15.5,
6
] | 0.979458 | [
-0.012784246995398676,
-1.605512074059542,
1.1468271443663132,
-1.2513828923556978,
1.2916257675260863,
-1.1711570212176807,
-1.4401838120131663,
1.6156251501443357,
1.4195474064205709,
-0.20992078531679503,
0.46022115213623693,
-0.8476005599875621,
0.026990108687306884,
-1.848404450162275... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -68.5,
"target_ratio": 0.97,
"target_value": -66.445
} | 52 |
5eafdf257b5f38d16f920bc4f2a96381 | 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": [251, 229], "expectation_value": -62.44918942430522, "params": [[[0.8982, 0.4338], [0.0582, 0.44930000000000003], [-0.6143000000000001, 0.8949], [0.46530000000000005, 0.9068], [0.8327, 0.8949], [0.4581, 0.7010000000000001], [0.4823, 0.8945000000000001], [0.0131, 0.6342], [0.1169, 0.8963000000000001], [0.4836... | 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(1) @ Z(5)) + 7.5 * (Z(6) @ Z(3)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(4) @ Z(6)) + 7.5 * (Z(0) @ Z(4)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10) @ Z(4)) + 7.5 * (Z(10) @ Z(0)) + 7.5 * (Z(10) @ Z(8)) + 7.5 * (Z(10) @ Z(9)) + -4.5 * Z(2) + 7.0 * Z(3) + 14.... | 15 | 11 | 2 | {"smallest_eigenvalues": [-126.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -106.0, "smallest_bitstrings": ["11100011010"], "largest_eigenvalue": 176.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.5788325498617748) q[0];
ry(0.038606722596199836) q[1];
ry(-0.6983509074916241) q[2];
ry(-0.05507560507547188) q[3];
ry(-0.003207452429809521) q[4];
ry(-0.04949153129359905) q[5];
ry(-0.06922517415507178) q[6];
ry(0.009221529786868271) q[7];
ry(-0.09799283607947273... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZII",
"IIIIIZIIIZI",
"IIIIZIIZIII",
"IIIIZZIIIII",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIIIZIIIZ",
"IIZZIIIIIII",
"IZZIIIIIIII",
"ZIIIIIZIIII",
"ZIIIIIIIIIZ",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIIIIIIIZI",
"IIIIZIIIIII",
"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,
7.5,
-4.5,
7,
14.5,
-3.5,
12.5,
20.5,
3.5,
13.5,
-6.5,
1,
20.5
] | 0.972879 | [
1.5788325498617748,
0.038606722596199836,
-0.6983509074916241,
-0.05507560507547188,
-0.003207452429809521,
-0.04949153129359905,
-0.06922517415507178,
0.009221529786868271,
-0.09799283607947273,
-0.19673059587144395,
0.08686254785416378,
0.30002028239131934,
0.298185734290727,
1.321405400... | {
"n_parameters": 43,
"n_qubits": 11,
"optimal_eigenvalue": -126,
"target_ratio": 0.97,
"target_value": -122.22
} | 58 |
1c3920daabb0227a05492f21ea1e8a94 | 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": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [42, 74], "expectation_value": -0.040984406495294626, "params": [[0.029300000000000003], [-0.0204]], "bitstrings": ["1010101", "0110101"], "total_optimization_steps": 10, "probabilities": [0.007971744158422429, 0.007971744158422429], "optimization_time": 1.572606086730957} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(4) + -2.0 * Z(6) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0110101", "1010101"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.5795564688231858) q[0];
ry(-1.5059711024702052) q[1];
ry(1.570505380031034) q[2];
ry(-1.3616357907889047) q[3];
ry(1.5026721980248223) q[4];
ry(1.5961719395342326) q[5];
ry(1.5016579103841516) q[6];
ry(1.5347637951145106) q[7];
ry(1.630204037481396) q[8];
ry(1.534... | 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[1], q[4];
rz(x0) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIZI",
"IIZIIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"IIZZIII",
"ZIIZIII",
"IIIZZII",
"IZZIIII",
"ZZIIIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-2,
-1,
-1,
-1
] | 0.975323 | [
1.5795564688231858,
-1.5059711024702052,
1.570505380031034,
-1.3616357907889047,
1.5026721980248223,
1.5961719395342326,
1.5016579103841516,
1.5347637951145106,
1.630204037481396,
-1.5565353402477407,
1.5863367616386275,
1.5338426397502967,
1.7375609618880026,
1.8122502012617245,
1.59715... | {
"n_parameters": 18,
"n_qubits": 12,
"optimal_eigenvalue": -3.4375,
"target_ratio": 0.97,
"target_value": -3.334375
} | 25 |
-8801654085681410047 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 3, 6], [1, 2, 4], [2, 4, 6], [0, 3, 4], [0, 1, 2, 3], [2, 3, 5, 6], [0, 2, 3, 6], [0, 1, 2, 5, 6], [1, 4, 6], [1, 2, 3, 6], [2, 3, 4, 5]]} | {"states": [103, 47], "expectation_value": -1.4170494456341651, "params": [[-0.2582], [0.26430000000000003]], "bitstrings": ["0011000", "1010000"], "total_optimization_steps": 30, "probabilities": [0.016189499217219308, 0.016368925435131982], "optimization_time": 2.602546215057373} | 0.21666666666666667 * (Z(0) @ Z(1)) + 0.25 * (Z(3) @ Z(1)) + 0.41666666666666663 * (Z(3) @ Z(0)) + 0.3833333333333333 * (Z(6) @ Z(1)) + 0.21666666666666667 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.3833333333333333 * (Z(2) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(0)) + 0.41666666666666663 * (Z(2) @ Z(3)... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5333333333333328], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4499999999999997, "smallest_bitstrings": ["1010000"], "largest_eigenvalue": 11.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(3.2574507613063873e-07) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-8.949835075231319e-07) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(4.435726766509513e-07) q[3];
cx q[0], q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[6];
rz(-3.80367... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIZIII",
"IIIIZZI",
"IIIIZIZ",
"IIIZZII",
"ZIIIZII",
"IIZIIZI",
"IIZIIIZ",
"IIZZIII",
"ZIZIIII",
"IIZIZII",
"IZIIIZI",
"IZIIIIZ",
"IZIZIII",
"ZZIIIII",
"IZIIZII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"ZII... | [
0.21666666666666667,
0.25,
0.41666666666666663,
0.3833333333333333,
0.21666666666666667,
0.3333333333333333,
0.3833333333333333,
0.21666666666666667,
0.41666666666666663,
0.4666666666666666,
0.3333333333333333,
0.16666666666666666,
0.25,
0.3333333333333333,
0.41666666666666663,
0.05,
... | 0.934211 | [
3.2574507613063873e-7,
-8.949835075231319e-7,
4.435726766509513e-7,
-3.8036784438611036e-7,
1.3510976951757602e-7,
-3.1415903419679005,
5.534948985589653e-7,
-9.036616811392772e-8,
-3.887582582947958e-7,
-2.517470926300859e-7,
-1.5707958243672469,
-1.5707984272586526,
1.5707966116103473,
-... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -2.5333333333333328,
"target_ratio": 0.97,
"target_value": -2.4573333333333327
} | 500 |
6946fbda84d92871847bf53596399897 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [1, 17], "expectation_value": -11.166162975113258, "params": null, "bitstrings": ["111110", "101110"], "total_optimization_steps": 19, "probabilities": [0.43051361361722545, 0.4999999676316289], "optimization_time": 12.738157272338867} | -1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + 3.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -1.25 * Z(3) + -0.25 * Z(0) + -1.0 * Z(4) + 0.25 * Z(1) + -0.5 * Z(2) + 2.75 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-12.0, -12.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["111110", "101110"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(1.551286213379778) q[0];
ry(0.14995386152144122) q[0];
rz(-1.157952155487887) q[0];
rz(1.7949694323876582) q[1];
ry(0.8600732688310629) q[1];
rz(-1.5619298147562424) q[1];
rz(-1.494414036029636) q[2];
ry(0.25948250070177714) q[2];
rz(2.109430114529392) q[2];
rz(-1.99... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIZIIZ",
"IZIIIZ",
"IIZIZI",
"IIZZII",
"IZIZII",
"ZIIIIZ",
"ZIIZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
-1.25,
-1.5,
-0.25,
-0.25,
-0.5,
3,
-0.25,
-1.25,
-0.25,
-1,
0.25,
-0.5,
2.75
] | 0.983075 | [
0.05760476468977301,
0.19533053854689783,
0.2935220690165271,
0.21247908078017866,
-0.33585903240393633,
0.2959684062839665,
-0.34014046378460583,
0.13274283234330986,
-0.10404306296453697,
0.20649247381463964,
0.9880477207375283,
-0.024097524940315328,
0.1102325674469585,
0.19708286430355... | {
"n_parameters": 43,
"n_qubits": 6,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 8 |
93141c357d164fcf2a36ba666f8f01e3 | kclique | adaptive_vqe | {"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": -9.567863056373476, "params": null, "bitstrings": ["1110", "0111"], "total_optimization_steps": 18, "probabilities": [0.26405862346310693, 0.6224927337877648], "optimization_time": 8.55420470237732} | 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) | 16 | 4 | 2 | {"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];
... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-0.5729) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"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 |
ef85ea05e5475f7172808c32e96d444c | 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": [549, 565], "expectation_value": -92.28864526730769, "params": [[[1.2886, 0.07200000000000001], [1.3035, 0.0221], [0.7739, 0.14700000000000002], [-0.04, 0.2828], [0.6403, 0.4444], [0.8207, 1.2950000000000002], [0.1472, 1.2947], [-0.0698, 0.46880000000000005], [-0.07150000000000001, 1.2997], [0.1837, 1.2423],... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(6) @ Z(2)) + 7.0 * (Z(4) @ Z(6)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(8) @ Z(4)) + 7.0 * (Z(9) @ Z(8)) + 7.0 * (Z(10) @ Z(2)) + 7.0 * (Z(10) @ Z(6)) + 7.0 * (Z(10) @ Z(8)) + 7.0 * (Z(10) @ Z(9)) + 9.5 * Z(1) + -6.0 * Z(0) + 10.... | 15 | 11 | 2 | {"smallest_eigenvalues": [-130.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -108.0, "smallest_bitstrings": ["10111001010"], "largest_eigenvalue": 193.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.431741932303332) q[0];
ry(1.3491711271568636) q[1];
ry(0.23506269529364432) q[2];
ry(0.04307432265559646) q[3];
ry(0.10398676389252605) q[4];
ry(1.3386347010724315) q[5];
ry(-0.008252832646240747) q[6];
ry(0.22301699943061234) q[7];
ry(0.025948036278105196) 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], \"right_nodes\": [7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIZIIIZII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIZZIIII",
"IIIZIZIIIII",
"IIZIIIZIIII",
"IZZIIIIIIII",
"ZIIIIIIIZII",
"ZIIIZIIIIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIZIIIIII",
"IIIIIIZIIII",
"IIIIIZIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
9.5,
-6,
10,
19.5,
10,
13.5,
-4.5,
17,
1,
20,
-12
] | 0.973448 | [
1.431741932303332,
1.3491711271568636,
0.23506269529364432,
0.04307432265559646,
0.10398676389252605,
1.3386347010724315,
-0.008252832646240747,
0.22301699943061234,
0.025948036278105196,
0.7699171350911969,
-1.5533930551841113,
-0.016984623684876778,
0.04232558777702988,
0.078926954587367... | {
"n_parameters": 44,
"n_qubits": 11,
"optimal_eigenvalue": -130,
"target_ratio": 0.97,
"target_value": -126.1
} | 60 |
915dee5a68ec375107076458c1accded | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 0, "target":... | {"states": [193, 225], "expectation_value": -4.641999210967727, "params": [[[-0.0024000000000000002, 0.0004], [1.4724000000000002, 0.002], [1.7114, 0.0013000000000000002], [1.657, 0.0039000000000000003], [1.6371, 0.0056], [-0.0055000000000000005, 0.006], [0.0374, 0.005200000000000001], [1.4862, 0.0011], [0.054900000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -5.5, "smallest_bitstrings": ["1110110010", "1100011110", "1110010110", "1001111010", "1100111010", "1001011110", "0011011101"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.1327854301948293) q[0];
rz(0.9632246773848236) q[0];
rx(-0.15109806459476532) q[1];
rz(0.31598352158041254) q[1];
rx(3.3732328129478053) q[2];
rz(-0.6823198501266032) q[2];
rx(2.968286350185332) q[3];
rz(0.46536762676446064) q[3];
rx(3.1169376627913277) 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": []} | [
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIZIIIIZ",
"IIZIIIIIIZ",
"IIZIZIIIII",
"ZIIIIIIIIZ",
"ZIIIZIIIII",
"IIIIIIZIZI",
"IIIZIIIZII",
"IIIZIIIIZI",
"IZIIIIIZII",
"ZZIIIIIIII",
"IZIZIIIIII",
"IIIIZZIIII",
"IIZIIZIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIZIIIII",
"IIZIIIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-2,
-0.5,
-1.5,
-1,
-1,
-0.5,
-1,
-1,
-0.5
] | 0.976236 | [
0.1327854301948293,
0.9632246773848236,
-0.15109806459476532,
0.31598352158041254,
3.3732328129478053,
-0.6823198501266032,
2.968286350185332,
0.46536762676446064,
3.1169376627913277,
-0.18248509765144083,
0.2649929466410595,
-1.5630681809913687,
-0.3697973381992835,
0.531798453301778,
0... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 25 |
a4887282391b847c36275b441eb6d545 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": ... | {"states": [0, 20], "expectation_value": -5.499864653365336, "params": null, "bitstrings": ["111111", "101011"], "total_optimization_steps": 19, "probabilities": [1.9001409475734576e-05, 0.9999182925217276], "optimization_time": 12.839308261871338} | 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(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(1) + -2.0 * Z(0) + -2.0 *... | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["111100", "101011"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.5947826491304309) q[0];
ry(-3.1353499367076596) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5947826491304309) q[2];
h q[3];
ry(1.4438293180331603) q[3];
ry(-0.08654683917800882) q[4];
rz(-pi) q[4];
cx q[3], q[4];
ry(0.08255773053450952) q[4];
cx q[3], q[4];
ry(-0.08... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-2,
-2,
-1.5,
-1.5,
-1.5
] | 0.999195 | [
-1.5947826491304309,
-1.4016917570823781,
1.4438293180331603,
-0.16511546106901903,
0.2414485837592053,
0.10282247901678558
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
58fa04385078dcdc0b5f9361c481400a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [0, 24], "expectation_value": -3.4998646533653353, "params": null, "bitstrings": ["11111", "00111"], "total_optimization_steps": 16, "probabilities": [1.9001409475734607e-05, 0.9999182925217274], "optimization_time": 10.71478271484375} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(1) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["11010", "00111"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.47101618974758475) q[0];
rz(-0.16827364835461855) q[0];
rx(0.48551343822356186) q[1];
rz(0.17804732572877252) q[1];
rx(0.32539434813691376) q[2];
rz(0.5457656730524693) q[2];
rx(-0.21683998807139754) q[3];
rz(0.30031640895019224) q[3];
rx(1.2220557292476708) q[4];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIZIZ",
"IZZII",
"IZIIZ",
"ZIIIZ",
"ZZIII",
"IIZZI",
"IZIZI",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"ZIIII",
"IIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1,
-1
] | 0.971822 | [
0.4710161897475848,
-0.09099105680982872,
0.48551343822356186,
0.17804732572877252,
0.32539434813691376,
0.5457656730524693,
-0.21683998807139754,
0.30031640895019224,
1.2220557292476708,
0.00816620436411572,
0.6463337616946943,
0.03026562494828463,
0.5393888844458095,
-0.2593316846640103,... | {
"n_parameters": 71,
"n_qubits": 8,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 45 |
3818ce8f8ec333f1e3cdd221545ea640 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 14, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}, {"... | {"states": [174, 110], "expectation_value": -11.323626540619834, "params": [[-0.0417, -0.0206], [0.056100000000000004, 0.0497]], "bitstrings": ["01010001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.009730008131022361, 0.011891285628106065], "optimization_time": 2.7995235919952393} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 6.5 * Z(1) + 1.5 * Z(0) + 15.0 * Z(2) + 8.5 * Z(3) + 9.5... | 1 | 8 | 2 | {"smallest_eigenvalues": [-67.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.0, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 122.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2759233039205356) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.2759233039205356) q[2];
cx q[0], q[2];
rz(0.8844402004995073) q[0];
rx(-0.1341396366104166) q[0];
h q[3];
cx q[2], q[3];
rz(0.2759233039205356) q[3];
cx q[2], q[3];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZZII",
"IIIZZIII",
"IIZIIZII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6.5,
1.5,
15,
8.5,
9.5,
14,
17.5,
1.5
] | 0.970097 | [
0.2759233039205356,
-0.42938787334870315,
0.8844402004995082,
-0.8144200522888211,
0.2801413587704371,
-0.8114055882673806,
-0.6665407615679289,
-1.1405939395508837,
-0.13413963661041667,
-0.22536789211031555,
-1.1314300218673012,
0.5384084427806397,
-0.5755834086541328,
0.4727379585036260... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -67,
"target_ratio": 0.97,
"target_value": -64.99
} | 49 |
50ae2479d5601754158b9fc59193bb01 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [164, 172], "expectation_value": -2.9851479038517152, "params": [[1.5008000000000001, 0.2878, 1.4989000000000001, -0.0028, 0.6256, 1.0008000000000001, -0.0028, -0.0066], [1.4966000000000002, 0.5014000000000001, 1.5014, -0.0028, 1.5005000000000002, 1.5009000000000001, -0.0028, 0.001]], "bitstrings": ["0101101... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + -0.125 * (Z(0) @ Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(... | 10 | 8 | 1 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.625, "smallest_bitstrings": ["01010011", "00111010", "10010011", "00110011"], "largest_eigenvalue": 6.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.8641516243728328) q[0];
rz(0.12726576765066508) q[0];
ry(0.7102320564934299) q[1];
ry(0.22422525448080505) q[2];
ry(-0.026146315359939894) q[3];
ry(0.6080971468829723) q[4];
ry(0.782750503349865) q[5];
ry(-0.08643926721123996) q[6];
ry(-0.03991970599118564) q[7];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIIZIIZ",
"IIZZIIII",
"IIIZZIII",
"IIZIZIII",
"IIZZIIIZ",
"IIIZZIIZ",
"IIZIZIIZ",
"IIZZZIII",
"IIZZZIIZ",
"IZIIIIZI",
"ZIIZIIII",
"IIZIIZII",
"ZIIIIZII",
"ZIZIIIII",
"ZIZIIZII",
"IIIIIIIZ",
"IIIIIIZ... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
-0.25,
0,
-0.125,
0.125,
-0.625,
-1,
-0.25
] | 0.971114 | [
0.8641516243728328,
0.7102320564934299,
0.22422525448080505,
-0.026146315359939894,
0.6080971468829723,
0.782750503349865,
-0.08643926721123996,
-0.03991970599118564,
0.25453153530133016,
0.46343250275949954,
-0.08223540585418547,
0.073471514791184,
0.3957229011270565,
0.14637513115560807,... | {
"n_parameters": 57,
"n_qubits": 8,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 7 |
c82c0abff7ad6b1ef89e7179084bee60 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [14294, 14302], "expectation_value": -4.153393448218865, "params": [[[0.0021000000000000003, 0.0076], [3.1447000000000003, 0.0007], [3.1438, 0.0057], [0.0022, 0.0063], [3.144, 0.0095], [2.75, 0.0051], [3.1433, 0.0025], [3.1447000000000003, 0.009300000000000001], [3.1448, 0.0077], [0.7881, 0.0022], [2.2951, 0... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(5) @ Z(2) @ Z(3)) + -0.125 * (Z(5) @ Z(2) @ Z(4)) + -0.125 * (Z(5) @ Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(2) @ Z(3... | 1 | 15 | 1 | {"smallest_eigenvalues": [-5.093749999999985, -5.093749999999985], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.09374999999998, "smallest_bitstrings": ["100100000100001", "010100010000010"], "largest_eigenvalue": 6.906250000000021} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
rx(0.06017047618151314) q[0];
rz(0.1867891313992973) q[0];
rx(3.215380989001466) q[1];
rz(-0.28393810695150506) q[1];
rx(3.348267508002961) q[2];
rz(0.08890311365693612) q[2];
rx(0.020809375873643773) q[3];
rz(-0.05495188029584405) q[3];
rx(3.2457728072436858) 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": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIZZII",
"IIIIIIIIIIZIZII",
"IIIIIIIIIZIIZII",
"IIIIIIIIIIZZIII",
"IIIIIIIIIZIZIII",
"IIIIIIIIIZZIIII",
"IIIIIIIIIIZZZII",
"IIIIIIIIIZIZZII",
"IIIIIIIIIZZIZII",
"IIIIIIIIIZZZIII",
"IIIIIIIIIZZZZII",
"IIIIIIIIZIIIIIZ",
"IIIIIIIZIIIIIIZ",
"IIIIIIIZZIIIIII",
"... | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
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0.125,
0.25,
0.25,
0.25,
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0.03125,
0.03125,
0.03125,
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0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
-0.03125... | 0.978409 | [
0.06017047618151314,
0.1867891313992973,
3.215380989001466,
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3.348267508002961,
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3.199346929215565,
-0.42483688350147586,
3.5255102245864256,
0.38290514326715075,
... | {
"n_parameters": 25,
"n_qubits": 15,
"optimal_eigenvalue": -5.093749999999985,
"target_ratio": 0.97,
"target_value": -4.940937499999985
} | 12 |
ceba285572e61720bd2865b4542d41ef | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "... | {"states": [3992, 4088], "expectation_value": -24.413978798368806, "params": null, "bitstrings": ["000001100111", "000000000111"], "total_optimization_steps": 100, "probabilities": [0.07609986621718645, 0.45127567650691913], "optimization_time": 260.97722148895264} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 1.0 * (Z(8) @ Z(5)) + -2.5 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(7)) + -2.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(4)) + 0.... | 1 | 12 | 1 | {"smallest_eigenvalues": [-31.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.5, "smallest_bitstrings": ["000000000111"], "largest_eigenvalue": 25.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.07377870626237668) q[0];
ry(0.10467154295354653) q[1];
ry(0.11169375851369125) q[2];
ry(0.05732697470414899) q[3];
ry(0.006558896643000342) q[4];
ry(0.052077945717567166) q[5];
ry(-0.09424981968180796) q[6];
ry(0.0024977978432773537) q[7];
ry(0.26118611367439803)... | null | {"node": 11} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(1.5708) q[8], 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... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIIIZZIIII",
"IIIIZIZIIIII",
"IIIIZIIZIIII",
"IIIZIIZIIIII",
"IIIZIIIZIIII",
"IIIZZIIIIIII",
"IIIIIZZIIIII",
"IIIIIZIZIIII",
"IIIIZZIIIIII",
"IIIZIZIIIIII",
"ZIZIIIIIIIII",
"ZZIIIIIII... | [
-2,
-2,
-2,
-2,
-2,
1,
-2.5,
0.5,
-2,
1,
-2.5,
-2,
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1,
0.5,
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-2,
-2,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
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-1.5
] | 0.97102 | [
-0.07377870626237668,
0.10467154295354653,
0.11169375851369125,
0.05732697470414899,
0.006558896643000342,
0.052077945717567166,
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0.0024977978432773537,
0.26118611367439803,
2.874080554118763,
0.05703981953806369,
-0.03952165194741101,
-3.2108247040228015,
-0.020803480... | {
"n_parameters": 18,
"n_qubits": 12,
"optimal_eigenvalue": -31.5,
"target_ratio": 0.97,
"target_value": -30.555
} | 21 |
d2601bbf36e7658df88520110518167a | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": []} | {"states": [61117, 59325], "expectation_value": -15.273555618327455, "params": null, "bitstrings": ["0001000101000010", "0001100001000010"], "total_optimization_steps": 100, "probabilities": [0.04222499524777576, 0.7004648347042955], "optimization_time": 647.7714545726776} | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) ... | 1 | 16 | 3 | {"smallest_eigenvalues": [-15.99999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.999999999999941, "smallest_bitstrings": ["0001100001000010"], "largest_eigenvalue": 56.00000000000006} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
ry(1.6170527242996016) q[0];
h q[1];
ry(0.7805138677541621) q[1];
h q[2];
h q[3];
ry(-0.4322759362401726) q[3];
h q[4];
h q[5];
ry(1.6170527242996016) q[5];
h q[6];
ry(0.7805138677541621) q[6];
cx q[0], q[6];
ry(-0.7805138677541621) q[6];
cx q[0], q[6];
cx q[0]... | null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 1}, {"id": 3}, {"id": 0}], "edges": []}} | {"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(1.5708) q[15];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[... | [
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZZIIIIII",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIZIZIIII",
"IIIIIII... | [
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0... | 0.970924 | [
1.6170527242996016,
1.5610277355083242,
-0.679222417946599,
1.0685797201107086,
-0.7139150329584052,
1.2551773451408712,
-0.8645518724803452,
1.1591405251708378,
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0.5130784379949134,
-0.5721670552309985,
0.3166512198214887,
-0.5898526595454422,
0.3774141208097306,
-0.... | {
"n_parameters": 46,
"n_qubits": 16,
"optimal_eigenvalue": -15.99999999999997,
"target_ratio": 0.97,
"target_value": -15.519999999999971
} | 6 |
328993d2980617c82c46cb44ba49e574 | 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": 2, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 4, "source": ... | {"states": [2048, 2047], "expectation_value": -33.251741471566795, "params": [[[-0.0148, 0.0019], [0.0013000000000000002, 0.003], [0.0066, 0.0027], [0.0032, 0.0024000000000000002], [-0.0006000000000000001, 0.0025], [0.0073, -0.0026000000000000003], [0.0016, -0.0024000000000000002], [0.002, -0.0029000000000000002], [0.0... | -0.5 * (Z(0) @ Z(6)) + -2.0 * (Z(1) @ Z(6)) + -1.25 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(8) @ Z(6)) + -0.75 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @ Z(5)) + -1.25 * (Z(8) @ Z(4)) + -2.0 * (Z(9) @ Z(4)) + -1.5 * (Z(9) @ Z(8)) + -0.25 * (Z(2) @ Z(6)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @... | 15 | 12 | 3 | {"smallest_eigenvalues": [-33.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.75, "smallest_bitstrings": ["100000000000"], "largest_eigenvalue": 34.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.027234768481987817) q[0];
ry(0.13097387298168853) q[1];
ry(0.07750894798032602) q[2];
ry(0.08236998074887456) q[3];
ry(0.05110253013634801) q[4];
ry(-0.35078180754296245) q[5];
ry(-0.08962534095873428) q[6];
ry(0.015752213971522287) q[7];
ry(-0.06622057232979459)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IIIIIZIIIIIZ",
"IIIIIZIIIIZI",
"IIIIIZZIIIII",
"IIIIIIZIIIZI",
"IIIIIIIZIIZI",
"IIIZIZIIIIII",
"IIIZIIIIIIZI",
"IIIZIIZIIIII",
"IIIZIIIZIIII",
"IIZIIIIZIIII",
"IIZZIIIIIIII",
"IIIIIZIIIZII",
"IIIIIIIZIZII",
"IIZIIIIIIZII",
"IIIIIZIIZIII",
"IIIIIIIIZIIZ",
"IIIIIIIZZIII",
"IIZIIIIIZ... | [
-0.5,
-2,
-1.25,
-1.25,
-0.25,
-0.5,
-0.75,
-0.5,
-1.25,
-2,
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-0.25,
-1,
-0.75,
-1.25,
0.75,
-1.25,
-0.5,
-1.5,
-1.5,
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-0.75,
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-1.5,
-2.5,
-1,
-0.5,
-1,
-1.5,
-1.5,
-0.5,
0.25,
-0.25,
-2.75,
-0.25,
2,
-3,
3.25... | 0.970788 | [
-0.027234768481987817,
0.13097387298168853,
0.07750894798032602,
0.08236998074887456,
0.05110253013634801,
-0.35078180754296245,
-0.08962534095873428,
0.015752213971522287,
-0.06622057232979459,
0.08224223974757933,
-1.7826037223607383,
0.30783571302274015,
-0.007721059013623261,
0.0281261... | {
"n_parameters": 53,
"n_qubits": 12,
"optimal_eigenvalue": -33.75,
"target_ratio": 0.97,
"target_value": -32.7375
} | 40 |
2a9ab16bb8bcea71e9f34a77597a5638 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 3}, {"weight": 14, "source": 0, "target": 6}, {"weight": 15, "source": 1, "target": 3}, {... | {"states": [218, 122], "expectation_value": -26.48177056242832, "params": [[-0.0333, 0.0068000000000000005, -0.0018000000000000002], [0.0671, 0.0536, 0.0523]], "bitstrings": ["00100101", "10000101"], "total_optimization_steps": 10, "probabilities": [0.01209716548434087, 0.014549167797901172], "optimization_time": 6.076... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 163.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.21069830025586003) q[0];
rz(-0.44314380018304966) q[0];
rx(0.6758685682189609) q[1];
rz(-0.07231239329845751) q[1];
rx(0.5304567662709817) q[2];
rz(0.0524343513804677) q[2];
rx(-0.2764618131261993) q[3];
rz(0.21560061027038913) q[3];
rx(0.6842987872754291) 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": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"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,
21,
11.5,
7,
19.5,
17.5,
7,
19.5,
0.5
] | 0.970268 | [
-0.21069830025586003,
-0.2661478952017108,
0.6758685682189609,
-0.11332069058319576,
0.5304567662709817,
0.04323630987877809,
-0.27646181312619933,
0.1941591628277346,
0.684298787275429,
-0.08672849227055314,
0.5560224463447703,
0.3101181280349571,
0.13765148430319257,
0.27958925789989647,... | {
"n_parameters": 69,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 9 |
9d1382902993d8e771af3489e0021226 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [26, 25], "expectation_value": -4.4999374806790025, "params": null, "bitstrings": ["100101", "100110"], "total_optimization_steps": 28, "probabilities": [1.635688897925884e-05, 0.9999687410137484], "optimization_time": 24.269424438476562} | 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(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(4) + -1.0 * Z(5) + -1.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.5734866058128874) q[0];
ry(-3.049185198245095) q[1];
rz(-pi) q[1];
h q[2];
ry(1.356383431000579) q[2];
cx q[2], q[1];
ry(-0.11338480721692776) q[1];
cx q[2], q[1];
ry(0.08622704143012419) q[2];
rz(-pi) q[3];
ry(-0.08286575263427674) q[3];
ry(-0.06072020170... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"ZIIIIZ",
"ZZIIII",
"IIZIZI",
"IIZZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
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0.5,
0.5,
0.5,
0.5,
-1,
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-0.5,
-1,
-1,
-1
] | 0.994348 | [
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0.22676961443385552,
-0.02917844896579387,
0.17245408286024838,
-0.03354793163126881,
0.029471096484107714,
0.07208817537219585,
0.1322483325046339,
-0.092611818275263... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
d7d7a914f5c5b10bb66230237db17fae | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target":... | {"states": [60, 508], "expectation_value": -12.66662501673977, "params": null, "bitstrings": ["111000011", "000000011"], "total_optimization_steps": 100, "probabilities": [0.11056854723057585, 0.5750275624414852], "optimization_time": 194.42077326774597} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6) + -1... | 1 | 9 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["000000011"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.7258110845197203) q[0];
h q[1];
h q[2];
ry(0.844786465725395) q[2];
cx q[1], q[2];
ry(-0.844786465725395) q[2];
cx q[1], q[2];
cx q[2], q[0];
ry(-0.7258110845197203) q[0];
cx q[2], q[0];
ry(-0.30174669820616645) q[1];
cx q[0], q[1];
ry(0.30174669820616645) ... | null | {"node": 7} | {"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];\ncry(1.5706) q[6], 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... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"IIZIZIIII",
"IIZIIZIII",
"IIZZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-1.5,
-1.5,
-1.5,
-2,
-2,
-1.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.970337 | [
0.07026661333681955,
-1.0237291300009381,
1.4516221690394406,
-0.2823579451959497,
3.080456406478833,
-1.537271361896147,
0.030341946098542773,
-0.009266811655052457,
1.68957293145079,
-0.6034933964123329,
0.7858991742819588,
-1.571144564279388,
-0.0778103355504738,
0.03025338001006666,
... | {
"n_parameters": 49,
"n_qubits": 9,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 497 |
ebed2b2f1ddd19051c3f8f1e6db408b8 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": []} | {"states": [427, 245], "expectation_value": -0.6897322252012301, "params": [[0.0463, 0.053200000000000004, 0.0335], [-0.0323, -0.0444, -0.0339]], "bitstrings": ["001010100", "100001010"], "total_optimization_steps": 10, "probabilities": [0.0027870610478645352, 0.0027870610478645357], "optimization_time": 11.83641529083... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-2.815869706397565) q[0];
rz(-0.10266699916250133) q[0];
rx(2.938411203352395) q[1];
rz(-0.359908355829058) q[1];
rx(-0.027903752025837614) q[2];
rz(0.2181567296090501) q[2];
rx(3.0078051915562813) q[3];
rz(0.18559254664400454) q[3];
rx(0.33346172350010733) 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;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2],... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": []}} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIZIIZII",
"IIIZIZIII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"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,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.97428 | [
3.467315600782021,
-0.08758761771970738,
2.938411203352395,
-0.359908355829058,
-0.027903752025837614,
0.2181567296090501,
3.0078051915562813,
0.18559254664400454,
0.33346172350010733,
0.007502932029881421,
3.1040264026485866,
0.08178816583284416,
0.10051399472175349,
-0.3883946671857684,
... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 19 |
-5831681888780707957 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 7, 9, 11], [9, 3, 6, 7], [0, 1, 3, 6, 10], [0, 11, 6], [9, 2], [1, 6, 7, 10, 11], [0, 2, 4, 7, 10], [5, 6], [8, 0]]} | {"states": [2102, 2230], "expectation_value": -2.4649237628255842, "params": [1.3922, 0.0041, 1.4004, 0.0058000000000000005, 0.7397, 0.42910000000000004, 0.5882000000000001, 0.4121, 0.1842, -0.5994, 0.182, 0.0064, 0.37570000000000003, 0.4262, 0.5494, 0.4414, 0.9133, 0.112, 0.912, 0.007200000000000001, 0.6402, -0.0044, ... | 0.1 * (Z(0) @ Z(1)) + 0.1 * (Z(7) @ Z(1)) + 0.1 * (Z(7) @ Z(0)) + 0.05 * (Z(9) @ Z(1)) + 0.05 * (Z(9) @ Z(0)) + 0.13333333333333333 * (Z(9) @ Z(7)) + 0.1 * (Z(11) @ Z(1)) + 0.21666666666666667 * (Z(11) @ Z(0)) + 0.1 * (Z(11) @ Z(7)) + 0.05 * (Z(11) @ Z(9)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(3) @ Z(0)) + 0.0833333333333... | 8 | 12 | 1 | {"smallest_eigenvalues": [-2.8833333333333337, -2.8833333333333337, -2.8833333333333337, -2.8833333333333337, -2.8833333333333337, -2.8833333333333337, -2.8833333333333337], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.883333333333333, "smallest_bitstrings": ["011000101000", "001101001011", "00001100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(1.5838919031092968) q[0];
rz(1.6555604242398996) q[0];
rx(0.6721055580574226) q[1];
rz(0.38124807063605975) q[1];
cx q[1], q[0];
ry(-0.15463365253080855) q[0];
cx q[1], q[0];
ry(1.6125489813259986) q[0];
rz(-1.363048687530597) q[0];
rx(0.6889717236102896) q[1];
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": []} | [
"IIIIIIIIIIZZ",
"IIIIZIIIIIZI",
"IIIIZIIIIIIZ",
"IIZIIIIIIIZI",
"IIZIIIIIIIIZ",
"IIZIZIIIIIII",
"ZIIIIIIIIIZI",
"ZIIIIIIIIIIZ",
"ZIIIZIIIIIII",
"ZIZIIIIIIIII",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIZIIIZIII",
"IIZIIIIIZIII",
"IIIIIZIIIIZI",
"IIIIIZIIIIIZ",
"IIIIZZIIIIII",
"IIZIIZIII... | [
0.1,
0.1,
0.1,
0.05,
0.05,
0.13333333333333333,
0.1,
0.21666666666666667,
0.1,
0.05,
0.05,
0.05,
0.08333333333333333,
0.08333333333333333,
0.1,
0.21666666666666667,
0.13333333333333333,
0.08333333333333333,
0.21666666666666667,
0.13333333333333333,
0.1,
0.1,
0.1,
0.05,
... | 0.972186 | [
1.583891903109297,
0.08476409744500268,
0.6721055580574226,
0.38124807063605975,
-0.1407752130543843,
-0.45834863159826567,
-0.049279918974614756,
0.5318110292433778,
0.8347354732590435,
0.021781809321403514,
0.5239273044955185,
0.05851171937697321,
1.603442656953927,
0.03332783350637977,
... | {
"n_parameters": 59,
"n_qubits": 12,
"optimal_eigenvalue": -2.8833333333333337,
"target_ratio": 0.97,
"target_value": -2.7968333333333337
} | 11 |
56c46d844bf96efc174d77f21db5723e | 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": 6}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [208, 720], "expectation_value": -8.152442649383078, "params": [[[1.6459000000000001, 0.0037], [0.0033, 0.0083], [1.7081000000000002, 0.0092], [1.7063000000000001, 0.0007], [0.0279, 0.0041], [1.7042000000000002, 0.0064], [-0.0018000000000000002, 0.006200000000000001], [1.478, 0.0043], [-0.0027, 0.00130000000... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-10.0, -10.0, -10.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -9.0, "smallest_bitstrings": ["1101111000", "1100101011", "0100101111"], "largest_eigenvalue": 28.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.5499757520495667) q[0];
rz(-0.29397547910408905) q[0];
rx(-0.08306441857610736) q[1];
rz(0.18986536111791427) q[1];
rx(2.704121640116663) q[2];
rz(-0.5043357383336696) q[2];
rx(3.0250824601044926) q[3];
rz(0.32505094016023983) q[3];
rx(0.10401760532296545) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIIIZ",
"IIZZIIIIII",
"IIZIIIIIIZ",
"IZIIIIIIIZ",
"IIIZIIIIZI",
"IIZIIIIIZI",
"IZIIIIIIZI",
"IIIZIIIZII",
"IIIIIIIZZI",
"IIIZIIZIII",
"IZIIIIZIII",
"IIIIIIZIZI",
"ZIIZIIIIII",
"ZIIIIIIIZI",
"ZIIIIIZIII",
"IIIZIZIIII",
"IIZIIZIIII",
"IIIIIZIZII",
"IIIZZIIIII",
"IZIIZIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-3.5,
-1,
-1.5,
-1.5,
-2.5,
-1,
-1.5,
-1.5,
-1.5,
-1.5
] | 0.979927 | [
0.5499757520495667,
-0.29397547910408905,
-0.08306441857610736,
0.18986536111791427,
2.704121640116663,
-0.5043357383336696,
3.0250824601044926,
0.32505094016023983,
0.10401760532296545,
0.4680245205418123,
2.9951875277176225,
-0.31831704139010597,
0.10666777888690987,
0.2390222385291324,
... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 17 |
1e277e87feb79246d4c3112af02a6a4a | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 20, "source": 1, "target": 6}, {"weight": 1, "source": 2, "target": 3}, {"weight": 19, "source": 2, "targ... | {"states": [189, 188], "expectation_value": -85.14900129841911, "params": [-0.001, 0.49560000000000004, 0.7941, 0.055200000000000006, 0.3322, 0.2295, 0.7862, -0.003, 0.7829, -0.0005, 0.7877000000000001, -0.002, 0.7866000000000001, 0.0675, 0.2485, 0.28850000000000003, 0.36660000000000004, 0.2082, -0.006, 0.5001, 0.7945,... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) ... | 18 | 9 | 4 | {"smallest_eigenvalues": [-96.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "smallest_bitstrings": ["101000011"], "largest_eigenvalue": 177.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.020978761801343192) q[0];
rz(0.5163182314904255) q[0];
rx(0.9268064577402324) q[1];
rz(-0.13640818594787107) q[1];
rx(0.1035785367262719) q[2];
rz(0.21719800416602195) q[2];
rx(0.5910051363443589) q[3];
rz(0.09342813476678803) q[3];
rx(0.82194410053844) q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input floa... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIIZIZII",
"IIIZIIZII",
"IIZIIIIZI",
"IIZIIIZII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIZIII",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
19,
-3.5,
14,
9.5,
23.5,
13,
22.5,
4,
8
] | 0.975339 | [
0.020978761801343192,
0.5832549339802381,
0.9268064577402324,
-0.13640818594787107,
0.1035785367262719,
0.21719800416602195,
0.5910051363443589,
0.09342813476678803,
0.82194410053844,
-0.10274540364092795,
0.7763548072277281,
-0.14313663960275602,
0.8085523565040738,
0.12923759132137974,
... | {
"n_parameters": 101,
"n_qubits": 9,
"optimal_eigenvalue": -96.5,
"target_ratio": 0.97,
"target_value": -93.605
} | 10 |
cde6b48ed870286595c1455af7aff8bd | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}, {"source": 2, "target": 3}]} | {"states": [2909, 2910], "expectation_value": -6.249735496837667, "params": null, "bitstrings": ["010010100010", "010010100001"], "total_optimization_steps": 100, "probabilities": [0.05709175034322553, 0.8163099224805773], "optimization_time": 331.16881012916565} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -5.25, "smallest_bitstrings": ["100001010001", "010001100010", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.5706) q[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];\... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIZIIZIIIIII",
"IZIIZIIIIIII",
"IZZIIIIII... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.75,
0.75,
0.75,
1.25,
1.25,
1.25,
0.75,
0.75,
0.75,
0.75,
0.75,
0.75
] | 0.989 | [
1.5946656311860272,
1.4546236341953724,
-1.3915392123108226,
-1.043543998175015,
-0.7696115407594695,
0.5858465026550362,
0.5980335866172003,
-0.5311148471859957,
0.6361651825545125,
-0.4145474599646862,
-0.39359418429255133,
-0.3850745616697103,
-0.5256664875247946,
-0.3291045904565906,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 1 |
165d6f0b141cf9f7a9f492c4e4764575 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 5, "target":... | {"states": [28, 31], "expectation_value": -8.642877861978288, "params": null, "bitstrings": ["111100011", "111100000"], "total_optimization_steps": 46, "probabilities": [0.1874642855099618, 0.5608159748986912], "optimization_time": 57.26831126213074} | 0.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + -2.0 * Z(1) + -1.5 * Z(0) + 1.0 * Z(3) + -1.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) | 1 | 9 | 1 | {"smallest_eigenvalues": [-10.0, -10.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.0, "smallest_bitstrings": ["101000000", "111100000"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-pi) q[0];
ry(-1.8112395897138282e-07) q[0];
h q[1];
ry(-1.570796351538755) q[1];
h q[2];
ry(-1.5707963552991886) q[2];
rz(-pi) q[3];
ry(-1.8112395897138282e-07) q[3];
h q[4];
ry(1.189273446370109) q[4];
h q[5];
ry(0.7853981394745616) q[5];
h q[6];
cx q[6], q[5];
ry(... | null | {"node": 3} | {"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[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] = ... | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIZZIIII",
"IIZZIIIII",
"IIZIZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
0.5,
-1.5,
0.5,
0.5,
-1.5,
-1.5,
0.5,
-1,
-2,
-1.5,
1,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.925 | [
-1.570796351538755,
1.5707962789491232,
1.2309594495785878,
2.378546892740218,
-1.5707963552991886,
2.7768840471003804,
3.2084491529584276,
-1.5707966392186492,
-1.5707961632163816,
0.7630455459864877,
-2.1385505370603055e-8,
2.6259958712798394e-7,
-1.3914987523402447,
1.1880521838555604e-... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 331 |
338915c6ea46983a057705cf1990fd90 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "... | {"states": [4095, 4031], "expectation_value": -24.74166288571185, "params": [[[-0.0025, 2.6984], [-0.0035, -0.0029000000000000002], [-0.0033, -0.0031000000000000003], [-0.0028, -0.003], [0.0021000000000000003, -0.0028], [1.6626, -0.0022], [0.0024000000000000002, 0.0023], [-0.0019, 0.0023], [-0.003, -0.00210000000000000... | -1.5 * (Z(0) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + -2.0 * (Z(4) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + -2.0 * (Z(8) @ Z(10)) + -2.0 * (Z(11) @ Z(10)) + -2.0 * (Z(11) @ Z(8)) + -2.0 * (Z(9) @ Z(10)... | 15 | 12 | 1 | {"smallest_eigenvalues": [-26.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.5, "smallest_bitstrings": ["000001000000"], "largest_eigenvalue": 21.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.03820698347474563) q[0];
ry(-0.18184023065833063) q[1];
ry(-0.06367513394013183) q[2];
ry(-0.06571725665428906) q[3];
ry(0.05922776007665027) q[4];
ry(2.5581245463852724) q[5];
ry(0.24671976560128564) q[6];
ry(0.10016650656481817) q[7];
ry(-0.04689576457078924) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIZ",
"IIIIIIIIZZII",
"IIIIIIIIZIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIIZZ",
"IIIIIIIIZIZI",
"IIIIIZIZIIII",
"IIIIZZIIIIII",
"IIIIZIIZIIII",
"IIIIIZZIIIII",
"IZIZIIIIIIII",
"ZZIIIIIIIIII",
"ZIIZIIIIIIII",
"IZZIIIIIIIII",
"IIZZIIIIIIII",
"ZIZIIIIIIIII",
"IIIIIIIIIZII",
"IIIIIIIII... | [
-1.5,
-2,
-2,
0.5,
0.5,
-2,
-2,
-2,
-1.5,
0.5,
-2,
-2,
-2,
-2,
1,
-2,
0.5,
0.5,
0.5,
0.5,
-2,
1,
1,
-1,
0.5,
0.5,
0.5,
0.5
] | 0.976663 | [
0.03820698347474563,
-0.18184023065833063,
-0.06367513394013183,
-0.06571725665428906,
0.05922776007665027,
2.5581245463852724,
0.24671976560128564,
0.10016650656481817,
-0.04689576457078924,
0.02814410728987616,
2.9598204168234754,
-0.033324754285990674,
0.013317871904488722,
0.0644603829... | {
"n_parameters": 15,
"n_qubits": 12,
"optimal_eigenvalue": -26.5,
"target_ratio": 0.97,
"target_value": -25.705
} | 18 |
49c7a353075b9efbb859265b467ce241 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 6}, {"capacity": 5, "source": 0, "target": 7}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [255, 205], "expectation_value": -3.5452428730828656, "params": [[-0.1584], [0.1736]], "bitstrings": ["100000000", "100110010"], "total_optimization_steps": 20, "probabilities": [0.007448002176639796, 0.007762264075612591], "optimization_time": 3.203300714492798} | -0.25 * (Z(0) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + -1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(7)) + -0.25 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(2)) + -1.25 * (Z(8) @ Z(6)) + 1.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -1.75 * (Z(3) @ Z(7)) + -0.75 * (Z(3) @ Z(4)) + -0.25 * (Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-11.75, -11.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.75, "smallest_bitstrings": ["100110010", "110110010"], "largest_eigenvalue": 16.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(0.1541915017240319) q[0];
cx q[6], q[0];
h q[7];
cx q[6], q[7];
rz(0.48993347450890307) q[7];
cx q[6], q[7];
cx q[0], q[7];
rz(0.3809036293424193) q[7];
cx q[0], q[7];
cx q[7], q[1];
rz(0.15419150... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIZIIIIIZ",
"IZZIIIIII",
"IZIIIIIIZ",
"IZIIIIIZI",
"IZIIIIZII",
"IIIIIIZZI",
"IZIIZIIII",
"IIIIZIZII",
"ZIZIIIIII",
"ZIIIIIIIZ",
"ZIIIIIZII",
"IZIIIZIII",
"IIIIZZIII",
"IIZZIIIII",
"IIIZIIIZI",
"IIIZIIZII",
"ZIIZIIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIIIIIZI",
"... | [
-0.25,
-2,
-1.25,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-1.25,
1.75,
-0.5,
-1.75,
-0.75,
-0.25,
-0.25,
-0.75,
-0.75,
1.75,
-0.25,
-1.75,
-0.25,
0,
-1.75,
-0.75,
1.5,
1.5
] | 0.573747 | [
0.1541915017240319,
0.48993347450890307,
0.3809036293424193,
0.39121769979930515,
-0.9672327796190312,
0.5380672003954887,
0.5727038347561656,
-0.27201752472147983,
-0.8740006384221521,
0.9168555925598314
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -11.75,
"target_ratio": 0.97,
"target_value": -11.397499999999999
} | 228 |
53257acbee1a5c33a13799de8119c8cc | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target... | {"states": [43669, 43605], "expectation_value": -1.665883004499393, "params": [[1.4928000000000001, 0.2541, 1.5652000000000001, 0.24930000000000002, 1.5953000000000002, 0.2661, 1.5589000000000002, 0.2381, 1.5703, 1.5888, 0.3483, 1.5999, 0.21400000000000002, 1.5875000000000001, 0.2479, 0.2524], [1.6322, 0.25320000000000... | 0.25 * (Z(0) @ Z(1)) + -0.0005177514792899408 * (Z(2) @ Z(0)) + -0.0005177514792899408 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0003698224852071006 * (Z(4) @ Z(0)) + -0.0005177514792899408 * (Z(4) @ Z(2)) + -0.0003698224852071006 * (Z(5) @ Z(1)) + -0.0005177514792899408 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 10 | 16 | 1 | {"smallest_eigenvalues": [-2.0204142011834008], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.020414201183364, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.011242603550235} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(1.1078054787743417) q[0];
ry(-0.09326201610736246) q[1];
ry(1.7293321336399945) q[2];
ry(-0.22205049796513868) q[3];
ry(1.7175917528182973) q[4];
ry(-0.0994987560583257) q[5];
ry(1.290110671027614) q[6];
ry(-0.05527197223057636) q[7];
ry(1.3321903332435656) q[8];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0005177514792899408,
-0.0005177514792899408,
0.25,
-0.0003698224852071006,
-0.0005177514792899408,
-0.0003698224852071006,
-0.0005177514792899408,
0.25,
-0.0005177514792899408,
-0.000628698224852071,
-0.0005177514792899408,
-0.0005177514792899408,
-0.000628698224852071,
-0.00051... | 0.971991 | [
1.1078054787743417,
-0.09326201610736246,
1.7293321336399945,
-0.22205049796513868,
1.7175917528182973,
-0.0994987560583257,
1.290110671027614,
-0.05527197223057636,
1.3321903332435656,
1.8630820344746417,
0.09343541171196851,
1.5868148223538554,
-0.08494458230817932,
1.430459911349099,
... | {
"n_parameters": 32,
"n_qubits": 16,
"optimal_eigenvalue": -2.0204142011834008,
"target_ratio": 0.97,
"target_value": -1.9598017751478987
} | 23 |
-2279578007016705699 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[8, 1, 6], [0, 4], [0, 2, 6, 7, 9], [3, 4, 5, 6, 7, 8], [1, 3, 4, 5, 9, 10], [2, 3, 5, 6, 7], [1, 2, 4, 5, 10], [0, 2, 3, 5, 6, 9, 10], [0, 2, 3, 6, 8, 9, 10], [0, 2, 5, 6, 8, 10], [2, 3, 5, 6, 8, 9, 10], [8, 2, 4, 7], [8, 9, 3, 1], [1, 2, 7, 8, 10], [3, 4, 7... | {"states": [1019, 987], "expectation_value": -3.5592572789247385, "params": [[[-0.0021000000000000003, 0.0013000000000000002], [2.0676, 0.0021000000000000003], [3.1438, 0.0063], [3.1441000000000003, 0.0019], [3.1439000000000004, 0.0036000000000000003], [1.5642, 0.0095], [3.1455, 0.0068000000000000005], [3.1439000000000... | 0.35 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.3047619047619048 * (Z(6) @ Z(8)) + 0.05 * (Z(0) @ Z(1)) + 0.05714285714285714 * (Z(0) @ Z(8)) + 0.13095238095238096 * (Z(0) @ Z(6)) + 0.08333333333333334 * (Z(4) @ Z(1)) + 0.1904761904761905 * (Z(4) @ Z(8)) + 0.05714285714285714 * (Z(4) @ Z(6)) + 0.5 * (Z(4... | 1 | 11 | 1 | {"smallest_eigenvalues": [-3.9619047619047634], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.8142857142857145, "smallest_bitstrings": ["10000100100"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.12114103561481722) q[0];
rz(0.1182494078997144) q[0];
rx(2.6755943726667186) q[1];
rz(-0.28672714995998017) q[1];
rx(3.1274307183832613) q[2];
rz(0.14100906717290324) q[2];
rx(3.0433311138287227) q[3];
rz(-0.283304560932114) q[3];
rx(3.208719401745745) 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[... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIIIZI",
"IIIIZIIIIZI",
"IIZIZIIIIII",
"IIIIIIIIIZZ",
"IIZIIIIIIIZ",
"IIIIZIIIIIZ",
"IIIIIIZIIZI",
"IIZIIIZIIII",
"IIIIZIZIIII",
"IIIIIIZIIIZ",
"IIIIIIIIZZI",
"IIZIIIIIZII",
"IIIIZIIIZII",
"IIIIIIIIZIZ",
"IIIIIIZIZII",
"IIIZIIIIIZI",
"IIZZIIIIIII",
"IIIZZIIIIII",
"IIIZIIIII... | [
0.35,
0.16666666666666666,
0.3047619047619048,
0.05,
0.05714285714285714,
0.13095238095238096,
0.08333333333333334,
0.1904761904761905,
0.05714285714285714,
0.5,
0.15000000000000002,
0.26428571428571423,
0.20476190476190476,
0.13095238095238096,
0.13333333333333333,
0.05,
0.240476190... | 0.977233 | [
-0.12114103561481722,
0.1182494078997144,
2.6755943726667186,
-0.28672714995998017,
3.1274307183832613,
0.14100906717290324,
3.0433311138287227,
-0.283304560932114,
3.208719401745745,
0.30899648998306684,
0.5327671785453388,
-0.06504009674764491,
3.1011970574752317,
-0.2369972330872825,
... | {
"n_parameters": 21,
"n_qubits": 11,
"optimal_eigenvalue": -3.9619047619047634,
"target_ratio": 0.97,
"target_value": -3.84304761904762
} | 11 |
-5198790762815403122 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3, 5], [8, 4, 5, 6], [0, 1, 2, 3, 8], [1, 4, 6], [3, 6], [2, 3, 7], [1, 7], [0, 1, 4], [0, 6], [8, 1, 2, 6]]} | {"states": [245, 497], "expectation_value": -2.7704652217527075, "params": null, "bitstrings": ["100001010", "000001110"], "total_optimization_steps": 56, "probabilities": [0.10093012736698574, 0.8834253075181698], "optimization_time": 84.58324980735779} | 0.21666666666666667 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.05 * (Z(8) @ Z(3)) + 0.05 * (Z(8) @ Z(0)) + 0.08333333333333333 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(5)) + 0.08333333333333333 * (Z(4) @ Z(8)) + 0.5 * (Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.9166666666666674], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.7000000000000006, "smallest_bitstrings": ["000001110"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
ry(1.4556523674956618) q[1];
ry(-2.198020586987804) q[2];
rz(-pi) q[2];
h q[3];
ry(1.3901767212168554) q[3];
h q[4];
ry(0.2417859580614178) q[4];
h q[5];
ry(-0.18949976573518898) q[5];
h q[6];
ry(-0.4485107366443361) q[6];
cx q[0], q[6];
ry(0.44851073664... | 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(1.4845) 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... | [
"IIIIIZIIZ",
"IIIZIZIII",
"IIIZIIIIZ",
"ZIIIIZIII",
"ZIIIIIIIZ",
"ZIIZIIIII",
"IIIIZIIIZ",
"IIIZZIIII",
"ZIIIZIIII",
"IIZIIZIII",
"IIZIIIIIZ",
"IIZZIIIII",
"ZIZIIIIII",
"IIZIZIIII",
"IIIIIZIZI",
"IIIIIIIZZ",
"ZIIIIIIZI",
"IIIIZIIZI",
"IIZIIIIZI",
"IIIIIZZII",
"IIIIIIZIZ",
"... | [
0.21666666666666667,
0.16666666666666666,
0.16666666666666666,
0.05,
0.05,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.08333333333333333,
0.16666666666666666,
0.25,
0.05,
0.21666666666666667,
0.13333333333333333,
0.333333333333333... | 0.973677 | [
1.4556523674956618,
1.3901767212168554,
-1.4504883412238283,
-0.8970214732886722,
0.7682111487751676,
-0.8542991657170399,
1.1386514576037496,
0.6071644906111078,
-0.2881734674849299,
0.20816664693573927,
0.4073711229381658,
0.4835719161228356,
0.4910690738192738,
0.38937195364756955,
-0... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -2.9166666666666674,
"target_ratio": 0.97,
"target_value": -2.8291666666666675
} | 12 |
568a2b24800b68bd939db648d974285c | 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": [398, 406], "expectation_value": -93.97519726096593, "params": [-0.9400000000000001, 0.9449000000000001, 1.5728, 1.5730000000000002, 2.5141, 0.632, -0.08220000000000001, 0.0876, 0.0258, -0.0307, -0.908, -0.8995000000000001, 2.2074000000000003, 1.0171000000000001, 1.7454, 1.3866, 1.5684, 1.5685, 0.0046, 0.004... | 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(6) @ Z(1)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(9) @ Z(7)) + 7.5 * (Z(8) @ Z(3)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(8) @ Z(9)) + -7.0 * Z(0) + 9.0 * Z(1) + 4.0 * Z(3) + 6.5 * Z(2) + 4.5 * Z(6) + 0.5 * Z(5) + 15.0 * Z(7) + 2.0 * Z(9) + 17.5 * Z(8) + -1... | 14 | 10 | 1 | {"smallest_eigenvalues": [-97.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -92.0, "smallest_bitstrings": ["1001101001"], "largest_eigenvalue": 134.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-1.1435345032725976) q[0];
rz(pi/2) q[0];
ry(1.559594230835665) q[1];
ry(2.5175026736940493) q[2];
ry(-0.06658270440557032) q[3];
ry(0.1572371591201256) q[4];
ry(-1.127117934270913) q[5];
ry(2.1811162068221566) q[6];
ry(1.8476778382243078) q[7];
ry(1.428586353217049... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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",
"IIIIIIZZII",
"IIIZIIIIZI",
"IIIZZIIIII",
"IIZIIIIZII",
"ZIZIIIIIII",
"IZIIIIZIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIZIIIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIIIIZIIII"
] | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
-7,
9,
4,
6.5,
4.5,
0.5,
15,
2,
17.5,
-14.5
] | 0.974591 | [
-1.1435345032725976,
1.559594230835665,
2.5175026736940493,
-0.06658270440557032,
0.1572371591201256,
-1.127117934270913,
2.1811162068221566,
1.8476778382243078,
1.4285863532170493,
-0.015463624596377045,
0.9194749513425147,
0.0057697740143954485,
0.07421431966307601,
0.2877606814195438,
... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -97,
"target_ratio": 0.97,
"target_value": -94.09
} | 5 |
aba6fa396d14e467ae0d99dd38e3c99d | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 3, "source": 1, "target": 6... | {"states": [3, 63], "expectation_value": -7.2846909746737545, "params": null, "bitstrings": ["1111100", "1000000"], "total_optimization_steps": 75, "probabilities": [0.0508457179339568, 0.7824085210373644], "optimization_time": 103.57079911231995} | -0.75 * (Z(0) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.25 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(6)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + 0.0 * Z(3) + -0... | 1 | 7 | 2 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6029463113024511) q[0];
h q[1];
h q[2];
ry(0.7929991718921372) q[2];
h q[3];
ry(0.8794283440467482) q[3];
h q[4];
ry(0.7775597893498037) q[4];
cx q[1], q[4];
ry(-0.7775597893498037) q[4];
cx q[1], q[4];
cx q[4], q[2];
ry(-0.7929991718921372) q[2];
cx q[4],... | 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(1.5708) 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", "... | [
"IIIZIIZ",
"IIIZIZI",
"IIZIIZI",
"ZIIZIII",
"ZIIIIIZ",
"ZIIIIZI",
"IIIZZII",
"IIIIZZI",
"IIZIZII",
"ZIIIZII",
"IZIIIZI",
"ZZIIIII",
"IZIIZII",
"IIIZIII",
"IIIIIIZ",
"IIIIIZI",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IZIIIII"
] | [
-0.75,
-0.25,
-1.5,
-0.25,
1,
-0.75,
-0.75,
-0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-1.5,
0,
-0.25,
-0.75,
1,
-0.75,
-0.75,
1.5
] | 0.97193 | [
1.5743455116567144,
1.5551195786996075,
1.5859983437842744,
1.5572663646124898,
0.8452599701378314,
1.7588566880934964,
0.9720374565052816,
-1.2058926226049023,
-0.0008241090567600584,
0.3357831707759824,
-0.22263848914659737,
0.09928482409924796,
-0.45654623459993954,
-0.20093592429500787... | {
"n_parameters": 40,
"n_qubits": 7,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 453 |
da6de443994ec7cab9dac14bc89c1781 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capaci... | {"states": [200, 136], "expectation_value": -9.169623324636193, "params": [0.0063, -0.0008, 0.0028, 0.0001, 0.0014, 0.0029000000000000002, 0.0077, 0.0043, 0.0028, 0.0041, 0.0045000000000000005, 0.00030000000000000003, 0.27540000000000003, 0.2762, 0.264, 0.2659, 0.0056, 0.0008, 0.001, 0.0011, 0.40650000000000003, 0.4048... | -0.5 * (Z(12) @ Z(4)) + -1.0 * (Z(13) @ Z(4)) + 2.0 * (Z(13) @ Z(12)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(12)) + -1.0 * (Z(5) @ Z(13)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(12)) + -1.0 * (Z(6) @ Z(13)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(12)) + -1.0 * (Z(7) @ Z(13)) + 0.5 * (Z(7) @ Z(... | 13 | 14 | 3 | {"smallest_eigenvalues": [-10.099999999999934, -10.099999999999934], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.099999999999923, "smallest_bitstrings": ["11110011010001", "11111101110111"], "largest_eigenvalue": 29.499999999999922} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
ry(0.5051714381411025) q[0];
rz(0.20980078770160016) q[0];
ry(-0.09120040829297402) q[1];
ry(-0.049190814351548595) q[2];
ry(0.199048662505671) q[3];
ry(-0.09120040829297402) q[4];
ry(0.15224748253395742) q[5];
ry(0.06806644044220848) q[6];
ry(0.08011436596032229) q[7]... | 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": 5} | {"circuits": [], "gradients": []} | [
"IZIIIIIIIZIIII",
"ZIIIIIIIIZIIII",
"ZZIIIIIIIIIIII",
"IIIIIIIIZZIIII",
"IZIIIIIIZIIIII",
"ZIIIIIIIZIIIII",
"IIIIIIIZIZIIII",
"IZIIIIIZIIIIII",
"ZIIIIIIZIIIIII",
"IIIIIIIZZIIIII",
"IIIIIIZIIZIIII",
"IZIIIIZIIIIIII",
"ZIIIIIZIIIIIII",
"IIIIIIZIZIIIII",
"IIIIIIZZIIIIII",
"IIIIIIIIIZIIIZ"... | [
-0.5,
-1,
2,
0.5,
-0.5,
-1,
0.5,
-0.5,
-1,
0.5,
0.5,
-0.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.4,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
-1,
-1,
-2,
-1,
-1,
2,
-0.5,
-1,
-0.5,
0.5,
1,
-0.5,
0.5,
-0.2,
0.5,
-1,
-2,
0,
0.5,
0.5,
-0.19999999999999996,
... | 0.970418 | [
0.5051714381411025,
-0.09120040829297402,
-0.049190814351548595,
0.199048662505671,
0.15224748253395742,
0.06806644044220848,
0.08011436596032229,
0.13569255146606926,
0.20196926478774385,
0.30285178143672364,
0.12116794568188916,
-0.10898963328516217,
0.4196015754032003,
0.184007408313581... | {
"n_parameters": 141,
"n_qubits": 14,
"optimal_eigenvalue": -10.099999999999934,
"target_ratio": 0.97,
"target_value": -9.796999999999935
} | 25 |
-5479358082000095795 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 3], [2, 4, 5], [1, 2, 3], [0, 2, 5], [3, 4], [1, 4, 5]]} | {"states": [60, 58], "expectation_value": -2.0891443860886096, "params": null, "bitstrings": ["000011", "000101"], "total_optimization_steps": 30, "probabilities": [0.029602184051244967, 0.9284517109383686], "optimization_time": 30.055959224700928} | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.3333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(2)) ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8333333333333333, "smallest_bitstrings": ["000101"], "largest_eigenvalue": 5.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.06741971565445563) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-0.06741971565445563) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.1145198914665358) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(-0.1145198914665358) q[4];
cx ... | 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(1.5298) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IZIZII",
"IZZIII",
"ZIIZII",
"ZIIIIZ",
"ZZIIII",
"IIIZZI",
"IIZIZI",
"IZIIZI",
"ZIIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIIZI"
] | [
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.6666666666666666,
0.3333333333333333,
0.33333333333333... | 0.563426 | [
-0.06741971565445563,
-0.1145198914665358,
-1.4276449491814434,
-1.529614803331631,
0.9195891614297272
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -2.166666666666667,
"target_ratio": 0.97,
"target_value": -2.101666666666667
} | 137 |
c0497b20d0e680cacc77174a13e8b8b4 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 2}, {"weight": 20, "source": 1, "target": 6}, {... | {"states": [230, 118], "expectation_value": -22.665091281655986, "params": [[0.031900000000000005, -0.0644, -0.0142], [-0.059500000000000004, 0.0568, 0.065]], "bitstrings": ["00011001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.013145156323286316, 0.019839052035139425], "optimization_time": 5.360... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 20.5 * Z(1) + 7.0 * Z(0) + 12.5 * ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 139.5} | 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(-0.0034026311700899) q[1];
cx q[3], q[1];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(-0.0034026311700899) q[0];
cx q[6], q[0];
rz(0.08707718680774468) q[0];
rx(1.6068609355902328) q[0];
cx q[6], q[4];
rz(-0.00340263117008... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZIZII",
"IIZIIIZI",
"IIZZIIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
20.5,
7,
12.5,
6,
9.5,
14,
17,
1
] | 0.970369 | [
-0.0034026311700899,
-0.26301475790782497,
0.08707718680774458,
1.5595170852256997,
1.5988629064548665,
1.6068609355902328,
-1.5706328661308941,
1.6822012540344695,
-0.1845861633258411,
1.1352603352915303,
0.43534770012848195,
-0.05375233225482663,
-0.1953687365154703,
3.189745870967778,
... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 166 |
69144809aea48cb46eae9c3950f24a15 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [0, 2], "expectation_value": -2.11867878403093, "params": [-0.0039000000000000003, 0.1724, 0.6031000000000001, 0.0032, 0.0014, 0.45170000000000005, -0.0051, -0.099, 0.6001000000000001, -0.0012000000000000001, 0.003, 0.4601, 0.0128, 0.0098, 0.6073000000000001, 0.0046, 0.0014, 0.0012000000000000001, -0.4377000... | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + -1.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(2) | 18 | 3 | 3 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["101"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.12397642308111168) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.12397642308111168) q[0];
cx q[1], q[0];
rz(-1.0412824378997723) q[0];
rx(-0.6835570607299903) q[0];
rz(0.6551677416149957) q[1];
rx(-0.6835570607299903) q[1];
rz(-1.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"ZZI",
"IZZ",
"IIZ",
"IZI",
"ZII"
] | [
0.5,
0.5,
-1,
-0.5,
-1
] | 0.983631 | [
0.12397642308111168,
-1.0412824378997723,
0.6551677416149958,
-0.6835570607299902,
0.023146836072959226,
-0.5048269617904716,
0.6814886991250588,
-0.7325852103426811,
0.006386053532258323,
-0.47655542685563346,
0.11597712833781966,
-0.2813397718212035
] | {
"n_parameters": 12,
"n_qubits": 3,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
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